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3T BOLD MRI MEASURED CEREBROVASCULAR RESPONSE TO HYPERCAPNIA AND HYPOCAPNIA: A MEASURE OF CEREBRAL VASODILATORY AND VASOCONSTRICTIVE RESERVE Jay S. Han A thesis submitted in conformity with the requirements for the degree of Master of Science, Graduate Department of Physiology, Faculty of Medicine University of Toronto © Copyright by Jay Shou Han (2010)
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  • 3T BOLD MRI MEASURED CEREBROVASCULAR RESPONSE TO

    HYPERCAPNIA AND HYPOCAPNIA: A MEASURE OF CEREBRAL

    VASODILATORY AND VASOCONSTRICTIVE RESERVE

    Jay S. Han

    A thesis submitted in conformity with the requirements for the degree of

    Master of Science,

    Graduate Department of Physiology,

    Faculty of Medicine

    University of Toronto

    © Copyright by Jay Shou Han (2010)

  • ii

    Jay Shou Han

    Masters of Science (2010)

    Graduate Department of Physiology

    Faculty of Medicine

    University of Toronto

    Toronto, Ontario, Canada

    Abstract

    Cerebrovascular reactivity (CVR) - defined as a change in cerebral blood flow (CBF) in

    response to a given vasodilatory stimulus - is a measure of the ability of the cerebral

    vasculature to maintain a constant CBF despite reductions in perfusion pressure. A decrease

    in CVR (which is interpreted as a reduction in the vasodilatory reserve capacity) in the

    vascular territory downstream of a stenosed supply artery correlates strongly with the risk of

    a hemodynamic stroke. As a result, the use of CVR studies to evaluate cerebral

    hemodynamics has clinical utility. Application of CVR studies clinically, depends on a

    thorough understanding of the normal response. The goal of this thesis therefore was to map

    CVR throughout the brain in normal healthy individuals using Blood Oxygen Level

    Dependant functional Magnetic Resonance Imaging as an index of CBF and precisely

    controlled changes in end-tidal partial pressure of carbon dioxide as a vasodilatory stimulus.

  • iii

    Acknowledgements

    First and foremost I would like to thank both my supervisor Dr. Joseph A. Fisher, and Dr.

    David J. Mikulis for introducing to me the world of clinical research and medicine. Both

    have provided me with invaluable opportunities and guidance. Under their mentorship I have

    matured both as a student and as an individual and I am forever indebted.

    I would also like to thank Dr. Daniel M. Mandell, Dr. Adrian P. Crawley, Julien Poublanc

    and Dr. James Duffin for their expert personal and professional advice and time spent

    reviewing the data and the thesis.

    I would also like to collectively thank Alexandra Mardimae, Dr. Marat Slessarev and Dr.

    David Preiss, for their unconditional support at the beginning as colleagues, and now as close

    friends. I would also like to express my sincere gratitude to Cliff Ansel, Stephanie Dorner,

    Keith Ta, Eugen Hlasny, David Johnstone and Jerry Plastino for their assistance as I

    conducted my research.

    Lastly, I want to thank my friends and family for their patience, understanding and

    unconditional support.

  • iv

    Table of Contents

    Abstract ................................................................................................................................ ii

    Acknowledgements…………………………………………………………………………..iii

    List of Figures ................................................................................................................... viii

    List of Tables ........................................................................................................................x

    List of Graphs .......................................................................................................................x

    Abbreviations…………………………………………………………………………………xi

    1. Chapter 1 .......................................................................................................................1

    Background Review of Literature ..........................................................................................1

    1.1 Neuro-anatomy .......................................................................................................1

    1.2 Cerebral Arterial Circulatory Anatomy ....................................................................1

    1.2.1 Anterior Cerebral Artery .................................................................................. 4

    1.2.2 Middle Cerebral Artery .................................................................................... 4

    1.2.3 Posterior Cerebral Artery ................................................................................. 4

    1.2.4 Collateral Circulation ....................................................................................... 5

    1.3 Cerebral Blood Flow, Metabolism, and Auto-regulation ..........................................7

    1.3.1 Cerebral Blood Flow and Metabolism .............................................................. 7

    1.3.2 Cerebral Autoregulation ................................................................................... 7

    1.3.3 Cerebral Vasodilatory Reserve ......................................................................... 9

    1.4 Cerebrovascular Reactivity (CVR) ........................................................................ 11

    1.4.1 Quantification Testing of CVR ....................................................................... 12

    1.4.2 CVR and carbon dioxide (CO2) ...................................................................... 13

    1.4.3 Mechanism of carbon dioxide mediated vascular response ............................. 13

    1.5 Administration and Manipulation of CO2 Stimuli .................................................. 15

    1.5.1 Acetozolamide (Diamox) ............................................................................... 15

    1.5.2 Breath Holding ............................................................................................... 16

    1.5.3 Varying Minute Ventilation ............................................................................ 17

    1.5.4 Inspired concentrations of O2 and CO2 - Non-rebreathing .............................. 17

    1.5.5 Inspired concentrations of O2 and CO2 - Rebreathing .................................... 18

  • v

    1.5.6 Inspired concentrations of O2 and CO2 – Modified Prospective End Tidal

    Targeting (MPET) Breathing circuit ............................................................................ 19

    1.6 Imaging of Cerebrovascular Reactivity .................................................................. 20

    1.6.1 Trans – Cranial Doppler (TCD) ...................................................................... 20

    1.6.2 Xenon – 133 Wash Out .................................................................................. 21

    1.6.3 Positron Emission Tomography (PET) ........................................................... 22

    1.6.4 Single Photon Emission Computed Tomography (SPECT) ............................. 23

    1.6.5 Near Infrared Spectroscopy ............................................................................ 23

    1.6.6 Magnetic Resonance Imaging (MRI) – Blood Oxygen Level Dependant MRI 24

    2. Chapter 2 ..................................................................................................................... 25

    Rationale and Objectives ..................................................................................................... 25

    2.1 Rationale and Objectives ....................................................................................... 25

    2.2 Optimizing the vasoactive Stimuli ......................................................................... 29

    2.2.1 Illustration of CBF response changes in PCO2 ................................................ 29

    2.3 Optimizing BOLD MR Imaging ............................................................................ 30

    2.3.1 Static magnetic field strength ......................................................................... 31

    2.3.2 Repetition Time (TR) ..................................................................................... 31

    2.3.3 Echo Time (TE) ............................................................................................. 31

    2.3.4 Voxel Size and Slice thickness ....................................................................... 32

    3. Chapter 3 .................................................................................................................... 33

    Quantification of Brain CVR to CO2 ................................................................................... 33

    3.1 Introduction ........................................................................................................... 33

    3.2 Materials and Methods .......................................................................................... 35

    3.2.1 Ethics and Consent ......................................................................................... 35

    3.2.2 Magnetic Resonance Imaging ......................................................................... 35

    3.2.3 Control of PETO2 and PETCO2 ...................................................................... 35

    3.2.4 Determination of Cerebrovascular Reactivity ................................................. 36

    3.2.5 Grey and WM Segmentation .......................................................................... 37

    3.2.6 Statistical Analysis ......................................................................................... 38

    3.3 Results .................................................................................................................. 40

  • vi

    Control of PETCO2 and PETO2 ................................................................................... 40

    3.3.1 Global BOLD CVR ........................................................................................ 43

    3.3.2 Grey and White Matter BOLD CVR .............................................................. 44

    3.3.3 Grey Matter BOLD CVR ............................................................................... 44

    3.3.4 WM CVR ....................................................................................................... 45

    3.4 Discussion ............................................................................................................. 47

    3.5 Conclusion ............................................................................................................ 50

    4. Chapter 4 .................................................................................................................... 52

    Quantification of Regional Brain BOLD CVR to CO2 ......................................................... 52

    4.1 Introduction ........................................................................................................... 52

    4.2 Materials and Methods .......................................................................................... 53

    4.2.1 Ethics and Consent ......................................................................................... 53

    4.2.3 Magnetic Resonance Imaging ......................................................................... 53

    4.2.4 Control of PETO2 and PETCO2 ...................................................................... 53

    4.2.5 PETCO2 and PETO2 Data Processing ........................................................... 56

    4.2.6 BOLD MRI Data Analysis and Determination of CO2 Cerebrovascular

    Reactivity .................................................................................................................... 56

    4.2.7 Cortical Vascular Territory Segmentation and Determination of CVR ............ 56

    4.2.8 Periventricular and subcortical WM Segmentation and Determination of CVR

    …………………………………………………………………………………57

    4.2.1 Statistical Analysis ......................................................................................... 57

    4.3 Results .................................................................................................................. 58

    4.3.1 End Tidal Gas Values: Control of PETCO2 and PETO2 .................................. 58

    4.3.2 GM vascular territory CVR ............................................................................ 60

    4.3.3 WM territory vascular response to CVR ......................................................... 64

    4.4 Discussion ............................................................................................................. 67

    4.5 Conclusion ............................................................................................................ 70

    5. Chapter 5 ..................................................................................................................... 71

    Extended Discussion, Conclusions, and Future Directions ................................................... 71

  • vii

    5.1 Cerebral blood flow vs changes in CO2: Sustained Hypercapnia and hypocapnia at

    Rest ……………………………………………………………………………………...72

    5.2 The Effect of aging on CVR to CO2 ...................................................................... 77

    5.3 The effect of sex on CVR to CO2 .......................................................................... 81

    5.4 The repeatability of CVR to CO2 ........................................................................... 82

    5.5 Influence of CO2 on Mean Arterial Pressure and CVR to CO2 ............................... 82

    5.6 Vasocontrictive Reserve ........................................................................................ 83

    5.7 Future Studies ....................................................................................................... 85

  • viii

    List of Figures

    Figure 1-1. 3 Tesla Time of Flight MR Angiography of the author‟s Circle of Willis

    demonstrating vessels of interest. ..........................................................................................3

    Figure 1-2. 3 Tesla Time of Flight MR Angiography of the Circle of Willis. Multiplanar

    reconstruction (MPR) Posterior – Anterior view of the Circle of Willis demonstrating the

    vessels of interest. .................................................................................................................5

    Figure 1-3. Cerebral Blood Flow vs. Cerebral Perfusion Pressure. Between cerebral perfusion

    pressures of 50mmHg and 150mmHg cerebral blood flow is constant. When cerebral

    perfusion pressure is below 50mmHg or above 150mmHg cerebral blood flow becomes

    directly proportional to changes in cerebral perfusion pressure. .............................................9

    Figure 1-4. Progression of encroachment on Vasodilatory Reserve. A) Normal CPP and

    Vascular tone. B) Reduction in CPP and encroachment on vasodilatory reserve. C) Severe

    reduction in CPP and exhausted vasodilatory reserve (maximal vasodilatation). .................. 11

    Figure 2-1. MCAV vs PETCO2. Red points demonstrate the change in MCAV in the .......... 29

    Figure 3-1. Anatomical Segmentation Maps. A) Representative segmented GM (red)

    anatomical map (B) Representative segmented WM (red) anatomical map. ......................... 37

    Figure 3-2. Formula for Calculating Proportional Change in BOLD CVR ........................... 39

    Figure 3-3. Removing the effect of blood volume on measured BOLD CVR to allow GM and

    WM comparison of non-linearity. A) Raw WM BOLD CVR . B) Raw GM BOLD CVR .

    Notice BOLD CVR scale is different in A) and B). C) BOLD signal normalized for blood

    volume for both GM and WM, allowing the use of the same ordinate scale. ........................ 40

    Figure 3-4. Raw PETO2 tracing (Green), Raw PETCO2 tracing (red) and corresponding

    averaged Raw whole brain BOLD MRI signal (blue) for (a) hypercapnic and (b) hypocapnic

    studies. ................................................................................................................................ 42

    Figure 3-5. BOLD MRI CVR Maps. A) Representative hypercapnia BOLD MRI CVR

    response. B) Representative hypocapnia BOLD MRI CVR response. .................................. 43

    Figure 3-6. Grey Matter BOLD MRI CVR at hypercapnia and hypocapnia. ......................... 46

    Figure 3-7. White matter BOLD MRI CVR at hypercapnia and hypocapnia ........................ 46

    Figure 4-1. Raw PETO2 tracing (Green), Raw PETCO2 tracing (red) and corresponding

    averaged Raw whole brain BOLD MRI signal (blue) for (a) hypercapnic and (b) hypocapnic

    studies. ................................................................................................................................ 55

    Figure 4-2. A) Subcortical WM Mask. B) Periventricular WM Mask................................... 58

  • ix

    Figure 4-3. Right Cortical ACA, MCA and PCA vascular territory CVR to Hypercapnia .... 62

    Figure 4-4. Right Cortical ACA, MCA and PCA vascular territory CVR to Hypocapnia ..... 62

    Figure 4-5. Left Cortical ACA, MCA and PCA vascular territory CVR to hypercapnia. ...... 63

    Figure 4-6. Left Cortical ACA, MCA and PCA territory CVR to hypocapnia. ..................... 64

    Figure 4-7. Periventricular WM CVR to hypercapnia and hypocapnia. ................................ 66

    Figure 4-8. Subcortical WM CVR to hypercapnia and hypocapnia. ..................................... 66

    Figure 4-9. Representative vascular anatomy in different vascular territories with theoretical

    degree of accompanied compensatory vasodilatation. Modified from Marinknovic et al.

    Anatomic and Clinical Correlations of the Lenticulostriate Arteries. Clinical Anatomy

    14:190–195 (2001). ............................................................................................................. 68

    Figure 5-1. Normal Vascular Response Curve to Changes in PaCO2 .................................... 72

    Figure 5-2 Cerebral Vascular response curve shift downward due to sustained hypercapnic

    levels of PaCO2 at rest. A) Initial vascular response to hypercapnia; Increase in CBF. B)

    Normalization of CBF to sustained hypercapnia with attenuated vascular response to further

    hypercapnia: a downward shift of the physiological response curve. ................................... 74

    Figure 5-3. Cerebral Vascular response curve shift upward due to sustained hypocapnic

    levels of PaCO2 at rest. A) Initial vascular response to hypocapnia; decrease in CBF due to

    vasoconstriction. B) Normalization of CBF to sustained hypocapnia with enhanced vascular

    response to hypercapnia....................................................................................................... 76

    Figure 5-4. Step wise reduction in perfusion pressure accompanied by loss of

    vasoconstrictive reserve. A) Normal CPP and maintenance of vasoconstricitive ability. B)

    Progressive reduction of CPP loss of vasodilatory ability (due to compensatory dilatation)

    and preservation of vasoconstrictive ability. C) Severe Reduction of CPP both vasodilatory

    and vasoconstrictive ability are abolished (a presumed magnitude of vasoconstriction at this

    point might lower CBF to ischemic thresholds). .................................................................. 84

  • x

    List of Tables

    Table 3-1. Hypercapnic PETCO2 and PETO2 values at each stage of protocol (Mean ±

    Standard Error). ................................................................................................................... 41

    Table 3-2. Hypocapnic PETCO2 and PETO2 values at each stage of protocol (Mean ±

    Standard Error). ................................................................................................................... 41

    Table 3-4. Grey Matter BOLD CVR values at hypercapnia and hypocapnia. ....................... 44

    Table 3-5. White Matter BOLD CVR values at hypercapnia and hypocapnia. ...................... 45

    Table 4-1. Hypercapnic PETCO2 and PETO2 values at each stage of protocol (Mean ±

    Standard Error). ................................................................................................................... 59

    Table 4-2. Hypocapnic PETCO2 and PETO2 values at each stage of protocol (Mean ±

    Standard Error). ................................................................................................................... 59

    Table 4-3 Mean cortical vascular territory BOLD MRI CVR to hypercapnia (expressed as

    Mean ± Standard Error). ...................................................................................................... 60

    Table 4-4. Mean cortical vascular territory BOLD MRI CVR to hypocapnia (expressed as

    Mean ± Standard Error). ...................................................................................................... 60

    Table 4-5. Mean subcotical WM BOLD MRI CVR to hypercapnia and hypocapnia.

    (expressed as Mean ± Standard Deviation) .......................................................................... 64

    Table 4-6. Mean Periventricular WM CVR to hypercapnia and hypocapnia (expressed as

    Mean ± Standard Deviation). ............................................................................................... 64

    List of Graphs

    Graph 5-1. Global Brain BOLD measured CVR to hypercapnia Vs. Age. ............................ 78

    Graph 5-2. Global Brain BOLD measured CVR to hypocapnia Vs. Age. ............................. 78

    Graph 5-3. Grey Matter BOLD measured CVR to hypercapnia Vs. age. .............................. 79

    Graph 5-4. Grey Matter BOLD measured CVR to hypocapnia Vs. age ................................ 79

    Graph 5-5. White Matter BOLD measured CVR to hypercapnia Vs. age. ............................ 80

    Graph 5-6. White Matter BOLD measured CVR to hypocapnia Vs. age .............................. 80

  • xi

    Abbreviations

    ACA – Anterior Cerebral Artery

    ACZ- Acetozolamide

    ANOVA - Analysis of Variance

    BOLD MRI – Blood Oxygen Level Dependant Magnetic Resonance Imaging

    CBF – Cerebral Blood Flow

    CBV - Cerebral Blood Volume

    CCA – Common Carotid Artery

    cGMP - Cyclic Guanosine Monophosphate

    CO2 - Carbon Dioxide

    CPP – Cerebral Perfusion Pressure

    CSF - Cerebral Spinal Fluid

    CVR – Cerebral Vascular Reactivity

    ECA – External Carotid Artery

    FICO2 - Inspired Fractional Concentration of Carbon Dioxide

    GM – Grey Matter

    ICA – Internal Carotid Artery

    ICP – Intracranial Pressure

    MAP – Mean Arterial Pressure

    MCA – Middle Cerebral Artery

    MPET - Modified Prospective End-Tidal Targeting

    MRI - Magnetic Resonance Imaging

    N2 - Nitrogen

    NIRS - Near Infrared Spectroscopy

    NO - Nitric Oxide

    O2 - Oxygen

    OEF - Oxygen Extraction Fraction

    PaCO2 - Arterial Parital Pressure of Carbon Dioxide

    PaO2 - Arterial Parital Pressure of Oxygen

    PCA – Posterior Cerebral Artery

    PCO2 - Partial Pressure of Carbon Dioxide

  • xii

    PET - Positron Emission Tomography

    PETCO2 – End –Tidal Partial Pressure of Carbon Dioxide

    PETO2 - End-Tidal Parital Pressure of Oxygen

    PICO2 - Inspired Parital Pressure of Carbon Dioxide

    PIO2 - Inspired Parital Pressure of Oxygen

    PO2 - Partial Pressure of Oxygen

    PVWM - Periventricular White Matter

    rCBF - Regional Cerebral Blood Flow

    rCPP – Regional Cerebral Perfusion Pressure

    ROI - Region of Interest

    SCWM - Subcortical White Matter

    SNR - Signal to Noise Ratio

    SPECT - Single Photon Emission Tomography

    TCD - Transcranial Doppler

    TE - Echo Time

    TR - Reptition Time

    WM – White Matter

  • 1

    1. CHAPTER 1

    BACKGROUND REVIEW OF LITERATURE

    1.1 NEURO-ANATOMY

    The brain consists of paired frontal, parietal, temporal, and occipital lobes, which collectively

    form the cerebrum and the cerebellum. Contained within each lobe and cerebellum is tissue

    that is composed predominantly of cell bodies (Grey Matter) and of interconnecting neurons

    (White Matter).

    Approximately 40% of brain tissue is composed of Grey Matter (GM). GM is mainly

    composed of neuronal cell bodies and accompanying dendrites and axons which terminate in

    synapses between neighboring neurons. The human brain contains an estimated 50-100

    billion neurons and about 100-500 trillion synapses. The thickness of the GM ranges from

    1.5 mm to 4 mm depending on the location, and is organized into 4 to 6 distinct layers.

    The other 60% of the brain tissue is composed of White Matter (WM). WM consists mainly

    of myelinated axons; the myelin, which contributes to its white appearance, is produced by

    oligodendrocytes. The individual axons are the conduits for which information is transferred

    throughout the brain. Myelination of the individual axons serves to increase the speed of

    action potentials that propagate down an axon. Also located within the WM are a number of

    cells that support the WM, such as glial cells, astrocytes and a smaller number of microglia.

    1.2 CEREBRAL ARTERIAL CIRCULATORY ANATOMY

    Blood flow throughout the brain is directed by a complex cerebral arterial circulatory system

    that can be studied as two smaller arterial circulatory pathways; an anterior and a posterior

    arterial circulatory system.

    The anterior arterial cerebral circulatory system begins as the level of the two common

    carotid arteries (CCA); the left CCA usually arises from the aortic arch and the right CCA

  • 2

    branches off from the innominate artery. The two common carotid arteries course cephalad

    from behind the sterno-calvicular joint to the upper border of the thyroid cartilage. At that

    level each CCA bifurcates into an external carotid artery (ECA) - supplying the superficial

    muscles and skin- and an internal carotid artery (ICA) - that becomes the primary source of

    blood flow for each cerebral hemisphere. The ECA courses behind the neck of the mandible

    and after passing the parotid glands, bifurcates into 7 major arteries including the superficial

    temporal and maxillary arteries.

    Each ICA continues intra-cranially to the supra-clinoid region from which it divides into the

    primary segments of the anterior (ACA) and middle cerebral (MCA) arteries. Other branches

    that arise from the ICA include the ophthalmic, posterior communicating, and anterior

    choroidal arteries.

    The posterior arterial circulatory system consists of the left and right vertebral arteries which

    originate as a branch of the respective subclavian artery. The two vertebral arteries then

    traverse superiorly along the vertebral bodies before coming together to form a single vessel,

    the basilar artery, at the junction between the medulla oblongata and the pons. Prior to

    joining as the basilar artery, each vertebral artery gives rise to an anterior spinal artery, -

    which supplies the spinal cord - and the posterior inferior cerebellar arteries - which supply

    the inferior cerebellum and lower brainstem. The basilar artery bifurcates intra-cranially into

    the right and left posterior cerebral (PCA) arteries respectively (Figure 1-1).

  • 3

    Figure 1-1. 3 Tesla Time of Flight MR Angiography of the author‟s Circle of Willis

    demonstrating vessels of interest.

    The two circulatory systems are connected through three smaller vessels, the anterior

    communicating artery and the left and right posterior communicating arteries (PCA) at the

    base of the brain – this forms the collateral network named the Circle of Willis which will be

    discussed in further detail in section 1.2.4. From the Circle of Willis arise the six principle

    cerebral blood vessels that supply the brain, the Left Anterior Cerebral Artery (LACA), the

    Left Middle Cerebral Artery (LMCA), the Left Posterior Cerebral Artery (LPCA), the Right

    Anterior Cerebral Artery (RACA), the Right Middle Cerebral Artery (RMCA) and the Right

    Posterior Cerebral Artery (RPCA).

  • 4

    1.2.1 ANTERIOR CEREBRAL ARTERY

    Each ACA branches directly from the ICA (Figure 1-2). The ACA courses below the anterior

    cerebral hemispheres on each side and ramifies over the cortical surface at the front of the

    brain. The ACA also extends along the longitudinal sulcus between the two hemispheres on

    each side and continues up the medial aspect of the hemisphere giving off penetrating

    branches supplying the interior of the respective hemisphere. Connecting the LACA and

    RACA is the anterior communicating artery which appears just as the ACA are entering the

    interhemispheric sulcus.

    Each ACA principally supplies the following ipsilateral hemispheric regions:

    frontal pole of the hemisphere

    the whole medial surface of the frontal and parietal lobes to the parieto-

    occipital suclus, where it then anastamoses with the posterior cerebral artery

    1.2.2 MIDDLE CEREBRAL ARTERY

    Each MCA is a direct continuation of the main branch of the ICA coursing in a horizontal

    plane, laterally and slightly anteriorly (Figure 1-2); they are the predominant arteryies in the

    brain. Major proximal vessels that branch of the MCA are the lenticulo- striate arteries.

    The MCA principally supplies

    the insula,

    the inferior and middle frontal gyri

    two thirds of the precentral and postcentral gyri,

    the superior and inferior parietal lobules

    the superior and middle temporal gyri

    1.2.3 POSTERIOR CEREBRAL ARTERY

    The PCA is a direct continuation of the basilar artery (Figure 1-2).

    PCA is primarily responsible for supplying blood flow to the medial and

    inferior surfaces of the occipital lobe

    the inferior surface of the gyrus of the temporal lobe,

  • 5

    part of the superior parietal lobule and all of the calcarine cortex

    Figure 1-2. 3 Tesla Time of Flight MR Angiography of the Circle of Willis. Multiplanar

    reconstruction (MPR) Posterior – Anterior view of the Circle of Willis demonstrating the

    vessels of interest.

    1.2.4 COLLATERAL CIRCULATION

    In addition to the principle cerebral supply vessels there is a subsidiary network of vascular

    channels that serves to stabilize blood flow if there is a failure of one of the principle vessels.

    These collateral vessels serve to redirect cerebral blood flow from patent primary vessels into

    the vascular beds of failed primary vessels for which there is a cerebral insufficiency.

    While some of these vessels are “anatomically patent” others represent “potential

    anastomotic connections” and are recruited only under ischemic conditions (Liebeskind

  • 6

    2003b). This section will briefly review these collateral networks which is divided into

    primary and secondary collateral networks.

    1.2.4.1 PRIMARY COLLATERAL PATHWAY

    The Circle of Willis is considered the primary collateral pathway. Anatomically, three major

    vessels, a single anterior communicating artery and two PCA form the Circle of Willis. These

    vessels together link the left and right ACAs, MCAs and PCAs forming a circular network,

    which allows inter hemispheric blood flow.

    This “ideal” configuration of the Circle of Willis, shows many variants. The anterior

    communicating artery is absent in 1.8 % of subjects, and either posterior communicating

    arteries may be absent (1%) or hypoplastic in 13.2% of individuals (Kapoor et al. 2008).

    1.2.4.2 SECONDARY COLLATERAL NETWORKS

    Secondary collateral networks serve to augment the flow provided by the Circle of Willis.

    Secondary collateral networks include the leptomenningeal vessels, which consists of pial

    arteries that connect the arterial trees of two major cerebral arteries, serving two different

    cortical territories and the ophthalmic artery, which forms a potential conduit between the

    ICA and ECA.

    Additionally, there are other collateral networks that are not commonly encountered but may

    be recruited or developed over time in the presence of occlusive pathology (Liebeskind

    2003a).

    The following is a list along with their intended collateral circulatory pathways:

    1) Tectal Plexus – Joins the supratentorial branches of the PCA with the infratentorial

    branches of the superior cerebellar artery.

    2) Orbital plexus – which joins the ophthalmic artery with the facial, middle

    menningeal, maxillary, and ethmoidal arteries

  • 7

    3) Rete Mirabile caroticum – which connects the internal carotid artery with the external

    carotid artery

    1.3 CEREBRAL BLOOD FLOW, METABOLISM, AND AUTO-REGULATION

    1.3.1 CEREBRAL BLOOD FLOW AND METABOLISM

    Cerebral blood flow (CBF) is both a vital and tightly regulated process. Though the human

    brain only weighs approximately 1,300 – 1,400 g, it receives a disproportional 15% of the

    total cardiac output. The normal average CBF throughout the entire brain is approximately

    50 mL/100g/min (Lassen 1985). However, considered separately, blood flow to the GM is

    higher at 80mL/100g/min compared to the WM which is 20 mL/100g/min. (Vavilala et al

    2002) due to the difference in metabolic demand.

    Globally, the effect of lower cerebral blood flows become evident as cerebral metabolism is

    disrupted. At a CBF of less than 35 ml/100g/min, protein synthesis is reduced (Hossmann

    1994) despite normal neurological function (Marshall et al. 2001b). Neurological deficits

    become evident when CBF less than 27 ml/100g/min (Marshall et al. 2001a) and cortical

    EEG activitiy is abolished at CBF values of 18 ml/100g/min or less (Trojaborg and Boysen

    1973). If the brain is subjected to blood flows of less than 15ml/100g/min for an hour or less,

    then permanent infarction is thought to ensue (Pulsinelli 1992).

    1.3.2 CEREBRAL AUTOREGULATION

    When CBF is below normal values, there is potential for ischemic damage to occur. CBF is

    therefore precisely maintained at 45 – 50 ml/100g/min.

    However, changes in physiological factors such as mean arterial blood pressure (MAP),

    metabolism, chemical factors and neuronal input can all influence CBF values (Vavilala et al.

    2002b). The ability to maintain a constant CBF despite these dynamic changes is due to the

    presence of cerebral autoregulation (Vavilala et al. 2002a).

  • 8

    In this thesis, the most pertinent aspect of cerebral autoregulation is that which controls the

    regional cerebral perfusion pressure (rCPP).

    The global CPP is the net pressure gradient that drives blood flow to the brain. Under normal

    conditions where intracranial pressure is low, CPP is entirely defined by changes in MAP.

    CPP = Mean Arterial Pressure (MAP) – Intracranial Pressure (ICP)

    Cerebral autoregulation compensates for fluctuations in CPP through reflexive

    vasoconstriction and vasodilatation which alters the resistance in downstream vascular beds,

    thereby maintaining CBF.

    The cerebral autoregulatory response is effective over the MAP range of approximately 50 to

    150 mmHg (Lassen 1959). Beyond these limits the cerebral autoregulatory response is

    exhausted and blood flow becomes proportional to the MAP (Figure 1-3).

  • 9

    Figure 1-3. Cerebral Blood Flow vs. Cerebral Perfusion Pressure. Between cerebral

    perfusion pressures of 50mmHg and 150mmHg cerebral blood flow is constant. When

    cerebral perfusion pressure is below 50mmHg or above 150mmHg cerebral blood flow

    becomes directly proportional to changes in cerebral perfusion pressure.

    1.3.3 CEREBRAL VASODILATORY RESERVE

    Cerebrovascular occlusive disease may result in stenotic lesions partially or totally occluding

    a feeding vessel to the brain. This results in a reduction of the downstream rCPP.

    Autoregulation then results in downstream dilation of the resistance vessels in an attempt to

    restore/maintain sufficient blood flow to sustain neuronal cellular metabolic function. As the

    narrowing of the lumen of the feeding vessel progresses, so does the magnitude of

    compensatory vasodilation by downstream resistance vessels (Yonas and Pindzola 1994).

    Once the resistance vessels have reached maximal dilation, this compensatory response is

    said to be “exhausted” and any further reductions in rCPP results in proportional reduction in

    blood flow (Figure 1-4).

  • 10

    A)

    B)

  • 11

    C)

    Figure 1-4. Progression of encroachment on Vasodilatory Reserve. A) Normal CPP and

    Vascular tone. B) Reduction in CPP and encroachment on vasodilatory reserve. C) Severe

    reduction in CPP and exhausted vasodilatory reserve (maximal vasodilatation).

    However, the availability of collateral circulatory conduits will mitigate the degree of

    compensatory dilation of the brain blood vessels. This is illustrated in a study in which

    patients with a complete carotid artery occlusion where found to have no evidence of

    intracranial hemodynamic compromise due the existence of collateral circulation which

    compensated for reductions in rCBF (Vernieri et al. 2001a).

    A measure of the cerebral vascular vasodilatory reserve capacity therefore represents not

    only a functional assessment of the degree of lumen narrowing of a major feeding vessel, but

    also of the extent of collateral vascular supply and overall, the ability to augment CBF.

    1.4 CEREBROVASCULAR REACTIVITY (CVR)

    While structural angiography imaging methods may show anatomical continuity of vessels,

    and the presence of recruited collateral conduits, they do not provide a measure of the actual

    perfusion contribution of such vessels (van Everdingen et al. 1998) to preserve rCPP and

    maintain CBF (Hofmeijer et al. 2002). Cerebro-vascular reactivity (CVR) - broadly defined

  • 12

    as the change in cerebral blood flow (CBF) per unit change in vasoactive stimulus - on the

    other hand, is a method that it is capable of measuring the physiological impact of occlusive

    lesions on reducing rCPP indicating the net effect of both the reserve of vascular dilatation

    and recruitment of collateral blood flow (Allcock 1967) (Matteis et al. 1999;Silvestrini et al.

    2000;Cupini et al. 2001).

    CVR has been shown to be a prognostic indicator of future ischemic events. Vernieri et al

    (Vernieri et al. 2001b) determined that in the presence of severe carotid artery disease, an

    impaired CVR was associated with an increased probability of stroke of 32.7%/yr compared

    to 8%/yr if CVR was normal. Similarly, Kleiser et al. (Kleiser and Widder 1992) measured

    the CVR in 85 patients with internal carotid artery occlusions using TCD as an indicator of

    CBF. In follow-up studies over 38 ± 15 months they found that in the group with greater

    CVR, none developed a stroke, whereas in the group with diminished CVR, 32% suffered

    ipsilateral events consisting of TIA‟s and strokes.

    These observations therefore underscore the significance of studying and quantifying the

    vasodilatory capacity through CVR measures as a means to evaluate the state of the cerebral

    vasculature and/or vascular disease progression.

    1.4.1 QUANTIFICATION TESTING OF CVR

    With the application of a vasodilatory stimulus, CVR can be used to assess the capacity to

    cerebral autoregulate or, alternatively, the cerebral vascular vasodilatory reserve capacity.

    The quantification normative absolute CVR values in healthy population therefore represent

    a means to determine the deviations from normal values in the presence of pathology.

    Though many methods have been devised to assess CVR, the most widely used method is the

    application of Carbon dioxide (CO2) as dilator stimulus, and an imaging method to measure

    the resultant changes in CBF.

  • 13

    1.4.2 CVR AND CARBON DIOXIDE (CO2)

    While the cerebral vasoautoregulation responds to changes in rCPP, the cerebral vasculature

    is also very sensitive to changes in its chemo-environment, specifically, to changes in the

    arterial partial pressure of CO2 (PaCO2). The time course of response is on the order of

    seconds. Increases in PaCO2 elicits a vasodilatory response and decreases in PaCO2 elicits a

    vasoconstrictive response.

    With its potent effect on vascular system and the combined safety and ease of use, CO2 is the

    most commonly used vasodilatory stimulus in the study of CVR.

    In this thesis I will use PaCO2 when referring to the direct stimulus of vascular change (i.e.,

    the direct independent variable), and PETCO2 when referring to the measured parameter that

    reflects PaCO2 (Robbins et al. 1990d).

    1.4.3 MECHANISM OF CARBON DIOXIDE MEDIATED VASCULAR RESPONSE

    The physiological mechanism by which dissolved arterial CO2 elicits vasoreactive effects is

    not fully understood. It has been hypothesized that CO2 or a CO2–mediated change in the

    extracellular pH, or both, induces the change in the cerebral vascular tone, with the site of

    action appearing to be directly on the vessel wall. This has been demonstrated by the

    application of either an acidic or alkalotic solution onto the brain which has been shown to

    dilate or constrict cortical surface cerebral arteries in vivo (Wahl et al. 1970). Once the pH is

    altered, a series of second messengers systems (prostinoids, nitric oxide, cyclic nucleotides,

    potassium channels, and intracellular calcium) are recruited to exert its effects on the smooth

    muscle in the cerebral vessels.

    The three principally vasoactive prostinoids in the brain are 1) Prostaglandin E2, 2)

    Prostacyclin (PGI2) – which are both vasodilator prostinoids and 3) Prostaglandin F2 alpha –

    which is a vasoconstrictor prostinoid (Hsu et al. 1993). Nitric Oxide (NO) is also an

    important regulator of cerebral vascular tone and consequently CBF. In the brain NO is

    produced by NO-synthase enzymes in the cerebral vascular endothelial cells, some

    perivascular nerves, parenchymal neurons and glia (Faraci and Brian, Jr. 1994b).

  • 14

    NO exerts its effects by activating guanylate cyclase in the vascular smooth muscle resulting

    in an increase in the intracellular concentration of cyclic guanosine monophosphate (cGMP)

    causing vasodilatation (Faraci and Brian, Jr. 1994a). There is however conflicting data with

    regards to the overall effect of NO as a mediator on CO2-induced cerebral vasodilatation.

    Studies have shown that the inhibition of NO-synthase reduces the magnitude of cerebral

    vasodilation due to hypercapnia (Wang et al. 1992b;Iadecola and Zhang 1994a) however the

    response is not completely abolished as between 10 - 70% of vasodilatory response

    remains(Wang et al. 1992a;Iadecola and Zhang 1994b). Moreover, NO does not appear to

    have an effect on mediating hypocapnia cerebral vasoconstriction as the inhibition of NO-

    synthase does not alter cerebral vasoconstriction (Wang et al. 1992c). Thus, while NO may

    have a role in CO2-mediated vasodilatation, the role is not exclusive.

    Cyclic nucleotides are important secondary messengers in the CO2 mediated changes in

    vascular tone. NO activates guanylate cyclase in the vascular smooth muscle, resulting in an

    increase in cyclic GMP concentration and prostanoids activate adenylate cyclase and increase

    the cyclic AMP concentration(Parfenova et al. 1994). Both cyclic GMP and cyclic AMP

    then activate their complimentary protein kinases which phosphorylates calcium channels,

    reducing the entry of calcium into vascular smooth muscle (Sperelakis et al. 1994).

    The cyclic nucleotides also known to activate a subset of potassium channels which result in

    membrane hyperpolarization and inactivation of voltage gated calcium channels which also

    reduces the intracellular calcium concentration (Kitazono et al. 1995). The resultant decrease

    intracellular calcium is the mechanism by which arterial tone is decreased.

    Another subset of Potassium channels also appear to be acted on directly by decreasing

    extracellular pH. The decrease in pH is thought to increase the open-state probability of

    KATP channels which would hyperpolarize cells and cause vascular smooth muscle

    hyperpolarization and cerebral vasodilation (Davies 1990).

  • 15

    This is supported by in vitro evidence which demonstrates that vasodilatation caused by

    hypercapnia (PaCO2 ~ 55mmHg) – which induces extracellular acidosis - can be attenuated

    by the blockade of KATP channels (Kontos and Wei 1996).

    In summary, the exact mechanism by which CO2 affects vascular tone is still not well

    understood. The mechanism appears not be mediated by one pathway but rather through the

    interaction of multiple pathways. Moreover the mechanism that appears to function in adults

    also appears to be different in neonates (Rosenberg et al. 1982) thus further research is

    required to elucidate the exact underlying mechanisms of CO2 mediated changes in vascular

    tone.

    1.5 ADMINISTRATION AND MANIPULATION OF CO2 STIMULI

    Changes in PaCO2 are potent vasoactive stimuli, and given the ease and safety of use, are

    commonly employed in CVR studies. Increases in PaCO2 are easily reversed with

    hyperventilation and changes in CBF are predictable at about 3% per mmHg change in

    PaCO2 (Ringelstein et al. 1988). As the measure of PaCO2 is invasive, requiring an arterial

    blood sample, the partial pressure of end-tidal CO2 (PETCO2) is most frequently used as a

    suitable surrogate (Robbins et al. 1990c). In this section the various methods of manipulating

    PaCO2 are described along with the advantages and disadvantages of each method.

    1.5.1 ACETOZOLAMIDE (DIAMOX)

    Acetozolamide (ACZ) has been administered to induce increases in PaCO2 in CVR studies.

    ACZ is a competitive inhibitor of the carbonic anhydrase. Carbonic anhydrase is a zinc-

    containing enzyme that catalyzes the following reversible reaction.

    CO2 + H2O ↔ HCO3-

    + H+

    In the presence of ACZ the carbonic anhydrase is inhibited from catalyzing the

    aforementioned reaction resulting in an increase in PaCO2 (Leaf and Goldfarb 2007).

  • 16

    Advantages

    administration does not alter the systemic blood pressure making it a good surrogate

    for measuring CVR in the presence of hypotension

    Safe

    Disadvantages

    must be injected intravenously rendering its use somewhat invasive.

    The time course of response to oral administration is highly variable

    PaCO2 changes in response to changes in ventilation are superimposed on those of

    ACZ

    The mechanism of affect of ACZ does not allow a quantifiable measure of change in

    CO2 to be made thereby making each application an independent stimulus that is non

    standardized.

    1.5.2 BREATH HOLDING

    Breath holding is another method of inducing changes in PaCO2. This method works by

    eliminating the flux of both O2 and CO2 at the lung allowing for the alveolar PO2 and PCO2

    to equilibrate with those in the mixed venous blood. Once the alveolar and mixed venous

    PO2 and PCO2 are equilibrated then any changes that occur will do so only according the

    metabolic production of CO2 (Parkes 2006a).

    Advantages

    No external gas sources are needed

    Relatively safe

    Disadvantage

    Cannot measure PETCO2 and PETO2

    The rates of change in PaO2 and PaCO2 are relatively slow and vary from

    subject to subject based on and as well as the circulation time required for

    blood to travel from the lungs to the tissues and then back to the lungs.

    The CO2 capacitances of the body are very large relative to metabolic

    changes, resulting in a buffering of end tidal partial pressure changes relative

  • 17

    to content changes and thereby limiting the change in PaCO2 from those at

    steady state.

    The PaCO2 and PaO2 change continuously in opposite direction.

    The changes in PaCO2 and PO2 are not linear therefore very sensitive to time

    of breath-hold

    The length of the stimulus is limited by the subject‟s ability to hold his breath

    1.5.3 VARYING MINUTE VENTILATION

    Variations in minute ventilation will result in corresponding changes in alveolar ventilation,

    which leads to changes in the alveolar (and arterial) PO2 and PCO2. Hyperventilation results

    in increase in PaO2 and decrease in PaCO2, whereas hypoventilation has the opposite effect.

    Advantages

    No external gas sources required

    The rates of change in PaO2 and PaCO2 with hyperventilation are more rapid

    than with breath holding (or hypoventilation)

    Relatively safe and simple to perform

    Disadvantages

    Changes in PaO2 and PaCO2 are inversely linked

    The magnitude of change in PaO2 and PaCO2 is limited by maximal voluntary

    increase and decrease in ventilation

    Voluntary efforts are resisted by ventilation control mechanisms

    1.5.4 INSPIRED CONCENTRATIONS OF O2 AND CO2 - NON-REBREATHING

    In this method the subject, breathes via a non-rebreathing valve, inhales from a reservoir

    containing a gas composed of a mixture of O2, CO2 and N2. The composition of the mixture

    can be adjusted prior to the start of experiment or corrected after every breath (as in dynamic

    end-tidal forcing)(Robbins et al. 1982).

  • 18

    Advantages

    The precise concentration of the inspired gas is known

    Inspired PO2 (PIO2) and PCO2 (PICO2) can be varied independently

    Inspiring gas of known composition will result in a particular PaO2 and PaCO2

    based on the metabolic parameters and alveolar ventilation in a given subject.

    The composition of the inspired gas can therefore be varied to yield required

    arterial concentrations of O2 and CO2.

    Disadvantages

    PaCO2 and PaO2 are not a direct function of the PICO2 and PIO2 abut also of

    the minute ventilation. As the minute ventilation in response to a given PICO2

    can vary from person to person, so will the PaCO2 and PaO2 .

    Changes in arterial gases (low PaO2 and/or high PaCO2) stimulate peripheral

    and central chemo-receptors, altering ventilation

    The requirement of mixing of pure O2, CO2 and N2 exposes the subject to the

    risk of inhaling a hypoxic mixture resulting from the inadvertent mixing of

    excess/or pure CO2 or N2.

    Complex calculations are required to account for individual, resting PETCO2

    and PETO2

    Breath-by-breath variability in tidal volume, and hence alveolar ventilation,

    results in variation in PETCO2 and PETO2

    1.5.5 INSPIRED CONCENTRATIONS OF O2 AND CO2 - REBREATHING

    In this method the subject re-breathes from a bag primed with a concentration of CO2 and O2

    forming a semi-closed system where the PaCO2 rises progressively as a result of the addition

    of metabolically produced CO2 into the system. The PaO2 is kept constant by an infusion of

    O2 from an external source equal to the O2 consumption.

    Advantages

    This method allows studies of physiological responses to a steadily increasing PaCO2

    with simultaneous control of PaO2 levels.

  • 19

    Breath-by-breath changes in tidal volume have little effect on the observed PETCO2,

    Disadvantage

    This method results only in a slow steady increase in PETCO2 with or without a

    steady level of PETO2

    1.5.6 INSPIRED CONCENTRATIONS OF O2 AND CO2 – MODIFIED PROSPECTIVE END

    TIDAL TARGETING (MPET) BREATHING CIRCUIT

    This novel method of manipulating PaCO2 and PaO2 independently and with fine control is

    the only method to have PETCO2 values correlated with PaCO2 (Ito et al. 2008). Based on the

    use of sequential re-breathing circuits, the exact targeting and control of PaCO2 and PaO2 is

    achieved by delivering a volume of fresh gas into alveoli on each breath(Slessarev et al.

    2007d). The fresh gas is a composition of the following three gases 1) 100% oxygen, 2) 10%

    Oxygen, balance Nitrogen (90%) and 3) 10% Oxygen, 20% Carbon Dioxide, balance

    Nitrogen (70%) – the mixture of which is determined by taking into account the subjects VO2

    and VCO2 and the target of PaCO2 and PaO2 that is to be achieved (Slessarev et al. 2007e).

    All this performed through an automated gas delivery system.

    Advantages

    Only method whereby PETCO2 has been shown to be equal to the independent

    variable, PaCO2

    Independent control of PETCO2 and PETO2 and thereby PaCO2 and PaO2 .

    Control of PETCO2 and PETO2 is independent of subject‟s respiratory rate or

    breathing pattern

    Delivery of a standardized and repeatable stimulus

    Requires minimal cooperation

    Disadvantages

    The use of a face mask which may prohibit use in subjects with claustrophobia or a

    beard

    Requires sufficient cooperation to provide a minimal minute ventilation

  • 20

    Requires custom equipment consisting of an automated gas blender, sources of O2,

    air, and two specialty mixed gases, computer control, special program for blender

    control and gas analysis, gas analyzers, along with all magnetic limitations and

    precautions, in order to administer method.

    1.6 IMAGING OF CEREBROVASCULAR REACTIVITY

    Previous studies of CVR have incorporated various methods to image changes in blood flow.

    However each method differs in a number of ways such as duration of quantitative accuracy,

    data acquisition, brain coverage and spatial resolution, all of which can confer both

    advantages and disadvantages in measuring CVR. This section will provide a brief overview

    of each commonly used imaging method.

    1.6.1 TRANS – CRANIAL DOPPLER (TCD)

    Trans – Cranial Doppler ultrasonography allows the measure of CVR through the measure of

    blood flow velocities (Aaslid et al. 1982). The method is based on the Doppler affect which

    detects the change in frequency of sound waves reflected from moving objects. In this

    particular instance the moving objects are the red blood cells which are flowing in the blood

    vessels being insonated. Its main use is in measuring flow velocities of various large basal

    vessels (depending on the placement of the probe) which are considered not to change

    diameter with changes in CO2. Thus TCD has poor resolution with respect to regional

    impairments in the smaller cerebral arteriole beds.

    Advantages

    The Gold standard for measuring CVR

    Non – invasive

    Ease of use – bedside

    High temporal resolution

    Repeatable

  • 21

    Disadvantages

    Limited in spatial resolution provides one value for each hemisphere; focal

    impairments secondary to downstream branch vessel pathology may be

    undetecable

    Accuracy issues inherent to errors and dependence on angle, flow velocity,

    pulsatility on vessel diameter operator dependant

    Subjects must have a “temporal bone window” (5- 10% of population do not)

    Velocity changes in large arteries are but surrogates of changes in blood flow

    in the downstream cerebral arterioles.

    1.6.2 XENON – 133 WASH OUT

    First described by Glass and Harper in 1963, this method derives CBF measurements from

    inert gas clearance methods based on the FICK principle using a depth focusing collimator

    (HARPER et al. 1964).

    In this method xenon133

    is injected into the carotid artery until a sufficient time has elapsed so

    that the brain tissue and venous blood concentration of Xe133

    is in equilibrium. Once

    equilibrium is reached the infusion stops, and the arterial blood which is now free of

    radioactive Xe133

    , will begin to wash out the Xe133

    in brain. The rate at which the washout

    occurs depends on the rate of CBF. Using the collimator, an area of the cerebral cortex is

    focused on the level of radioactivity (reduction in) is detected and CBF is determined.

    This method is therefore purely dependant on the physical properties of diffusion and

    solubility.

    Advantages

    Body eliminates XE 133 rapidly ~ 20 – 30 mins this allows repeated studies

    Disadvantages

    Highly invasive

    Lacks anatomical correlation – negates comparison studies

  • 22

    Xe-133 produces a weak signal, it therefore provides little information on blood flow

    in deep regions of the brain

    Xe-133 has a long half life and is a radioactive hazard for both subjects and

    laboratory personnel

    Brain tissue is not entirely homogeneous thus the injection time must be long enough

    for the brain to ensure that the Xe133 concentration is equilibrated throughout

    1.6.3 POSITRON EMISSION TOMOGRAPHY (PET)

    Positron Emission Tomography (PET) is scanning method that relies on the use of unstable

    positron emitting isotopes such as 15O, 18F, and 11C that are synthesized by a cyclotron

    (Ter-Pogossian et al. 1975;Phelps et al. 1978). The isotopes are created by bombarding the

    oxygen, fluorine or carbon with protons. These isotopes once created can then be

    incorporated into many reagents compounds such as water and glucose. The radio-labeled

    compounds can then be injected in the circulatory system where they are then distributed and

    taken up into areas that are physiologically more active. The unstable isotope within the

    compound then underogoes decay as the extra proton is broken down into a neutron and a

    positron. The positron then proceeds to collide with an electron (usually within a few

    millimeters) resulting in a release of gamma rays in opposite directions (180 degrees). The

    gamma rays are then collected by detectors positioned around the head. By reconstructing

    the site of collision with the election active regions or uptake are reconstructed providing a

    three dimensional map.

    Advantages

    Whole brain coverage

    Non invasive tomographic images with quantitative parameters regional CBF,

    regional CBV, region OEF

    Disadvantages

    Intravenous injection of Tracers combined with arterial blood sampling

    Need a cyclotron PET for CBF measurements

    Not available at the bedside

  • 23

    Spatial resolution of PET studies ranges from ~ 4 to 6 mm

    1.6.4 SINGLE PHOTON EMISSION COMPUTED TOMOGRAPHY (SPECT)

    Single Photon Emission Computed Tomography (SPECT) is a non invasive method of

    measuring regional CBF, derived from older techniques of imaging CBF (Budinger et al.

    1977). This technique is based on the use a radio-labeled compound with a short half life

    such XE133

    that is either inhaled or injected into the circulatory system. Once in the

    circulatory system the radio-labeled compound binds to red blood cells which are carried

    throughout the body while undergoing radioactive decay emitting protons. The emitted

    photons are then collected by a gamma camera that is rotated around head ultimately

    generating a localized three dimensional image of CBF.

    Advantages

    Lower start up costs

    More widely available compared to PET and MRI

    Simpler to use; Radiolabeled probes are commonly available and do not

    require an onsite cyclotron such as required by PET

    Disadvantages

    Not as flexible as PET or as accurate

    Limitation in spatial resolution ~ 4 - 6 mm

    1.6.5 NEAR INFRARED SPECTROSCOPY

    Near Infrared Spectroscopy (NIRS) is a non-invasive method for studying changes in CBF.

    The method is dependent upon the near infrared light absorption properties of both

    oxyhemoglobin and deoxyhemoglobin (Pellicer and Bravo 2010). By transmitting light into

    the brain and analyzing what is reflected by sensors, changes in both deoxyhemoglobin and

    oxyhemoglobin as well as the change in total hemoglobin can be measured providing both

    hemodynamic and metabolic CBF measures.

    Advantages

    High temporal resolution up to hundreds of hertz

  • 24

    Disadvantages

    Low spatial resolution

    Depth - measurement in deep structures of the brain cannot be obtained due

    to limitations in optical penetrance

    1.6.6 MAGNETIC RESONANCE IMAGING (MRI) – BLOOD OXYGEN LEVEL DEPENDANT

    MRI

    Blood Oxygen Level Dependant Magnetic Resonance Imaging (BOLD MRI) is a method of

    indirectly measuring changes in CBF in the microvasculature, using deoxy-hemoglobin as an

    endogenous contrast agent (Ogawa et al. 1990b). Changes in CBF are inferred from flow

    induced changes in the absolute paramagnetic deoxy-hemoglobin concentration, which alters

    the local magnetic field in giving rise to the BOLD MRI signal. An increased concentration

    of paramagnetic deoxy-hemoglobin, such as that arising from a reduction in CBF in the

    setting of stable neuronal activity, increases the magnetic field inhomogeneity which distorts

    the magnetic field resulting in decreased T2* relaxation decreasing the measured BOLD

    signal in an imaging voxel. Conversely an increase in CBF in the setting of stable neuronal

    activity, reduces the concentration of deoxy-hemoglobin, resulting in less local magnetic

    field inhomgeneity and an increase in the BOLD signal.

    However, other factors such as the intra-voxel cerebral blood volume (CBV), cerebral

    metabolic rate of oxygen consumption, arterial partial pressure of oxygen (PaO2), and

    hematocrit can also influence the magnitude change in BOLD signal(Ogawa et al. 1993).

    That said, empirical evidence still suggests that, within healthy subjects, changes in BOLD

    signal to changes in PaCO2 are dominated by CBF effects (Shiino et al. 2003;Ziyeh et al.

    2005)

    Advantages

    Good spatial resolution – down to 3 mm

    Whole brain coverage

    Non – invasive – no radiation

    Repeatable

  • 25

    Lower cost than PET

    Disadvantages

    Availability

    Claustrophobia, noise

    Intolerant of subject movement

    The BOLD signal drifts with time

    2. CHAPTER 2

    RATIONALE AND OBJECTIVES

    2.1 RATIONALE AND OBJECTIVES

    The varying methodology in measuring CVR – both in the manipulation of PaCO2 and CBF

    imaging - has made CVR an unreliable, unrepeatable, and un-standardized measure – all of

  • 26

    which need to be addressed for any type of diagnostic technique to be considered and

    adopted for use in a clinical setting.

    To date, the normal physiological response of the cerebral vasculature response to changes in

    physiological range of PaCO2 has yet to be characterized in humans with a standardized

    method – due to limitations in PaCO2 manipulation methods - which would allow the

    accurate representation of the relationship between changes in PaCO2 and CBF.

    The most common error is assuming that the inspired fractional concentration of CO2

    (FICO2) is the independent stimulus. As discussed above, the independent stimulus is the

    PaCO2. The PaCO2 is a function of the minute ventilation response to the FICO2. So, for

    example, when a 5% CO2 –air mixture is administered to two theoretical subjects the

    resulting ventilatory response may differ. One may have a brisk ventilatory response which

    increases PETCO2 by 8 mmHg and the other may have a lesser ventilatory response with an

    increase in PETCO2 of 3 mmHg. If the denominator in the calculation of both is the same

    (i.e., when the stimulus is taken as the independent variable), the CVR calculation would be

    quite different which is the approach of most published CVR studies.

    Additionally, CVR is often calculated as a „slope‟ in the sense of „rise over run‟, which

    falsely assumes a linear relationship over a measured range of PaCO2 which has been shown

    to be curvilinear (Ide et al. 2003e).

    Thus a change in CBF in response to a change in PaCO2 would depend on both the

    magnitude of the change PaCO2 as well as the starting point. At extreme levels of

    hypocapnia (~ less than 20 mmHg) and hypercapnia (~ greater 100 mmHg) the vascular

    response appears to plateau and level off (REIVICH 1964c). If the PaCO2 falls outside of this

    range during measurement, there would be an underestimation of the slope, or CVR.

    Between these two levels the reported relationship of CBF to PaCO2 has varied. Some have

    reported a linear relationship (REIVICH 1964b), whereas others have not (Clark et al.

    1996b;Ide et al. 2003g). However, the majority of studies of CVR to PaCO2 – both in

  • 27

    healthy and diseased states - have confined themselves to study CVR in the hypercapnic

    range (Clark et al. 1996a;Yezhuvath et al. 2009c) or have disregarded the effect of range of

    PaCO2 on the CVR (Mikulis et al. 2005).

    Many studies have also ignored the independent effect of PaO2. An increasing PaO2 has

    been determined to have an independent vasoconstrictive affect on the cerebral vasculature

    (Floyd et al. 2003b) and on BOLD signal (Prisman et al. 2008c). Methods commonly used to

    manipulate PaCO2 in the study of CVR – with the exception of dynamic end tidal forcing

    (Wise et al. 2007b) - do not allow the independent control of O2, which otherwise varies.

    Thus the true independent affect of PaCO2 or PaO2 on CVR still remains to be resolved.

    The use of CVR imaging methods has also varied, resulting in measures of CVR without a

    spatially structured approach.

    The reported spatial distribution of CVR has differed according to the imaging modality:

    transcranial ultrasonography (TCD) (Aaslid et al. 1989), Positron emission tomography

    (PET) (Ito et al. 2000d), Perfusion Computed Tomography (Liu et al. 2008) and blood

    oxygen level dependant BOLD MRI (Ogawa et al. 1990a).

    The majority of studies have reported global CVR using TCD. However, the resolution of

    TCD is low, as it only provides response information from large intracranial vessels. The

    vascular response to PaCO2 is not limited to large intracranial vessels and changes do occur

    at the mircrocirculatory level. The use of TCD may therefore mask regional level changes.

    Alternatively, imaging methods with higher spatial resolutions have been used to measure

    vascular responses to PaCO2. Grey and WM vascular responses have been reported

    independently of each other using SPECT (Shirahata et al. 1985b), Xenon133

    (Reich and

    Rusinek 1989a) and PET (Ito et al. 2000c) with GM vascular reactivity demonstrated to be

    higher in some studies (Shirahata et al. 1985a;Reich and Rusinek 1989b). However, the

    spatial resolutions of these methods are also limited in terms of brain volume coverage,

    consisting of a few transverse imaging planes of limited thickness.

  • 28

    Within the GM and WM, it is not known if the vascular response to changes in PaCO2 varies

    from region to region in the brain, or is uniform according to arterial anatomy. However

    differences in CVR between specific neural structures have been reported (Ito et al. 2000b)

    (Bright et al. 2009d).

    The use of BOLD MR imaging to indirectly image changes in CBF potentially provides good

    spatial resolution (voxels 2 x 2 x 3 mm at 3 Tesla) with full brain coverage. However BOLD

    CVR studies to date been limited to reports of CVR in brain regions associated with specific

    visual or motor functions (Rostrup et al. 2000c;Bright et al. 2009c) without regard to the

    cerebral arterial anatomy.

    Previously, it has been suggested that variations in cerebral arterial anatomy may influence

    the vascular response to changes in PaCO2 (Mandell et al. 2008a). With variations in cerebral

    vascular anatomy known to be present within regions of grey and WM (Reina-De La et al.

    1998b;Nonaka et al. 2003a;Nonaka et al. 2003d) the vascular response to PaCO2 may thus be

    heterogeneous throughout the brain.

    Collectively, various questions therefore still remain, in the study of CVR to changes in

    PaCO2. The objective of this thesis was to therefore to develop a standardized test of CVR

    that will address the following 2 key questions:

    1) Is there a difference in the magnitude of CVR to a standardized normoxic 10 mmHg

    change in PaCO2 if tested above, (hypercapnic), or below (hypocapnia) resting

    PaCO2?

    2) Is there a difference in CVR regionally according to vascular territory throughout the

    brain?

  • 29

    2.2 OPTIMIZING THE VASOACTIVE STIMULI

    MPET was used to administer two repeatable standardized stimuli – the first, an iso-oxic

    (PETO2 150 mmHg) hypercapnic stimulus in which PaCO2 was cycled in the hypercapnic

    range (from 40 mmHg to 50 mmHg) and the second an iso-oxic hypocapnic stimulus

    consisting of cycling PaCO2 in the hypocapnic range from 30 mmHg to 40 mmHg. As there

    is hysteresis with respect to the direction of change (Ide et al. 2003f), both changes were

    those of increasing PaCO2.

    2.2.1 ILLUSTRATION OF CBF RESPONSE CHANGES IN PCO2

    For the purpose of illustration, we reproduced a CBF-PaCO2 curve as reported by Ide et al.

    (Ide et al. 2003). We monitored the change in MCAV in response to 5 mmHg incremental

    step changes in PETCO2 from 25 mmHg to 55 mmHg while maintaining a PETO2 of 150

    mmHg. The graph below demonstrates a curvilinear relationship resulting in two distinct

    CVR slopes if two point changes are made in the hypo- and hypercapnic regions (25 mmHg

    to 40 mmHg and 40 mmHg to 50 mmHg) (Figure 2-1).

    Figure 2-1. MCAV vs PETCO2. Red points demonstrate the change in MCAV in the

    hypocapnia range of PETCO2 (from 25 mmHg to 40 mmHg). Blue points demonstrate the

    change in MCAV in the hypercapnic range of PETCO2 (from 40 mmHg to 50 mmHg). A

    constant PETO2 (150 mmHg) was maintained throughout the entire study.

  • 30

    2.3 OPTIMIZING BOLD MR IMAGING

    BOLD MR imaging is an indirect method of detecting changes in CBF. Echo planar imaging

    is one of the fastest methods of measuring changes in T2*, the relaxation time constant that is

    responsible for the BOLD contrast. T2* along with T2 and T1 represent time constants of the

    spin relaxation which are properties of the tissue being imaged. When tissue is placed in a

    static magnetic field, protons in the tissue will align parallel to the magnetic field resulting in

    a net longitudinal magnetization. The application of a perpendicular (90°) radiofrequency

    (RF) pulse through an imaging slice of the tissue will tilt the protons away from the parallel

    alignment into a transverse plane, while precessesing around the direction of the net

    magnetization. As the protons slowly realign parallel to the magnetic field, energy is released

    and detected by a receiving coil which provides the spatially encoded information. The

    imaging contrast seen between different tissues is generated by the different rates in which

    protons in different tissues return to their equilibrium state. T2* reflects the tissue

    microenvironment or the relative inhomogeniety of the local magnetic field (susceptibility).

    T2* is highly influenced by the interface of tissues of different magnetic characteristics (such

    as at the interface of bone and soft tissue) or in the case of the BOLD contrast, the

  • 31

    concentration of paramagnetic deoxyhemoglobin which disrupts the local magnetic field in

    an imaging voxel and results in a decrease in BOLD signal.

    Specific MR imaging parameters can be optimized to obtain the best signal to noise ratio

    (SNR) in generating BOLD signals. While there is probably no single combination of

    acquisition parameters that will be optimal for every BOLD MR imaging study, the

    understanding of how each of following parameters can affect the BOLD signal will allow

    the optimization of data acquisition.

    2.3.1 STATIC MAGNETIC FIELD STRENGTH

    As the static magnetic field strength is doubled the measurable signal increases 4 fold.

    However, the noise also increases 2 fold resulting in a 2 fold increase in SNR(Okada et al.

    2005).

    2.3.2 REPETITION TIME (TR)

    The TR is the time in milliseconds between successive RF pulses applied to the same

    imaging slice. Longer TR theoretically would allow for a proton to fully recover to the

    longitudinal plane of magnetization after an RF pulse allowing for a higher SNR. However,

    in a given fixed imaging time, a longer TR limits the number of images that are acquired for

    a particular imaging volume. (Constable and Spencer 2001)

    2.3.3 ECHO TIME (TE)

    TE represents the time in milliseconds between the application of the 90° pulse and the

    peak signal detected. Shorter TE reduces the influence of susceptibility artifacts (field

    inhomogenieties) as well as increase the overall SNR (Schmitt 1998). Optimal TE should be

    equal to the T2* for grey matter at a given static magnetic field strength (Menon et al.

    1995;Kruger et al. 2001).

  • 32

    2.3.4 VOXEL SIZE AND SLICE THICKNESS

    Increases in voxel size (Triantafyllou et al. 2005) and slice thickness(Howseman et al. 1999),

    decreases the spatial resolution while increasing the SNR, and vice versa.

    Collectively, optimization of some parameter will likely offset others. In determining the

    optimal set of parameters for a particular study, it is crucial to weigh, the goals of the study.

    In this study the BOLD MR imaging parameters were optimized to study the entire brain as

    opposed to fine structures in order to map out the CVR of specific vascular territories in both

    GM and WM thus sacrificing spatial resolution for SNR.

    During the induction of each PaCO2 stimulus, vascular reactivity was imaged and quantified

    using BOLD MRI. In the first study, segmentation algorithms were used to quantify the

    BOLD response to both hypercapnia and hypocapnia globally in GM and WM.

    In a second study, the CVR was quantified in the cerebral cortex according to arterial

    vascular territory (left and right anterior cerebral artery (ACA), middle cerebral artery

    (MCA), posterior cerebral artery (PCA)) and the sub-cortical and peri-ventricular regions in

    the cerebral WM, regions known to be prone to ischemic injury

  • 33

    3. CHAPTER 3

    QUANTIFICATION OF BRAIN CVR TO CO2

    3.1 INTRODUCTION

    Cerebro-vascular reactivity (CVR) can be broadly defined as the change in cerebral blood

    flow (CBF) per unit change in vasoactive stimulus. CVR is currently a semi quantitative

    measure, due to a large extent to the application of inconsistent, indistinct, and often un-

    measurable provocative stimuli. The inability to reliably quantify CVR makes it difficult to

    discern symmetrical or global vascular abnormalities, and to generate repeatable CVR values

    for specific brain regions. This is necessary to follow CVR in a given patient over time, or

    compare CVR between groups.

  • 34

    The easiest vasoactive stimulus to apply is a change in the partial pressure of CO2 in the

    arterial blood (PaCO2). As the measure of PaCO2 is invasive, requiring an arterial blood

    sample, the partial pressure of end-tidal CO2 (PETCO2) is most frequently used as a suitable

    surrogate (Robbins et al. 1990b).

    PaCO2 is most commonly affected by a change in ventilation. The simplest change in

    ventilation is breath-holding for a standardized time, or the breath-hold index. However the

    actual changes in PaCO2 during a fixed breath-hold period vary with the extent of ventilation

    before the maneuver, whether the breath-hold is initiated at end inspiration or end exhalation,

    the CO2 production of the subject, and more (Parkes 2006c). During the breath-hold, the

    PaCO2 changes are non linear with time and are accompanied by dramatic reductions in

    arterial partial pressure of oxygen (PaO2) (Parkes 2006b), which in turn affect the CBF

    (Floyd et al. 2003a) as well as its measure when MRI Blood Oxygen Level Dependent

    (BOLD) signal is used as a surrogate for CBF (Prisman et al. 2008b). These factors leave the

    “breath hold index” as a very indirect and unreliable measure of the vaso-active stimulus.

    Administering a fixed inspired concentration of CO2 and O2 via a non-rebreathing circuit also

    has the appeal of simplicity, but it too is an inconsistent stimulus. Neither the PaCO2 nor the

    PaO2 are simple functions of the inspired concentrations of CO2 and O2, as they are also

    affected by the ventilatory response to the inhaled gases (Prisman et al. 2008a), which varies

    from person to person (and likely in any one person over time). Indeed, the administration of

    fixed inspired gas concentrations have been shown to not provide a reliable cerebro-vascular

    stimulus (Mark et al. 2010)

    Furthermore, even the administration of a reliable change in PETCO2 and PETO2 may still not

    provide a suitable standard vaso-active stimulus. The relationship between PaCO2 and CBF

    is not linear, but curvilinear (Ide et al. 2003d) whereas CVR has been defined as a „slope‟ of

    CBF response to PaCO2. Thus for CVR to be consistent on repeated tests, the initial PETCO2

    and the change in PETCO2 must remain consistent.

    In this study, our aim was to standardize the provocative vaso-active stimulus with respect to

    initial, and change in, PETCO2 as well as the surrogate measure of CBF, and quantify CVR In

  • 35

    this initial study we performed a series of hypercapnic and hypocapnic „standardized CVR‟

    test on 10 healthy male subjects aged 18 to 42 years to quantify CVR for regions of interest

    (ROI) consisting of the whole brain, the grey matter (GM) and white matter (WM).

    3.2 MATERIALS AND METHODS

    3.2.1 ETHICS AND CONSENT

    The study was approved by the research ethics board at the University Health Network,

    Toronto, Ontario, Canada. Ten healthy male subjects (Age 30 ± 8.1 years, range 18 – 42

    year) with no prior cerebral vascular conditions, free of medication and nicotine intake, and

    abstaining from caffeine on the day of examination were recruited for this study. The entire

    protocol was reviewed with each subject and informed consent was obtained.

    3.2.2 MAGNETIC RESONANCE IMAGING

    MR imaging was performed on a 3.0 Tesla scanner (Signa HDX; GE HealthCare,

    Milwaukee, WI) with eight-channel phased array head coil. For co-registration with the fMRI

    BOLD CVR measures, T1-weighted anatomical images were acquired using a three-

    dimensional spoiled gradient echo pulse sequence (whole brain coverage; matrix: 256x256;

    slice thickness: 2.2 mm; no inter-slice gap). BOLD MRI CVR data was acquired with a T2*-

    weighted single-shot gradient echo pulse sequence with echo-planar readout (field of view:

    24x24 cm; matrix: 64x64; TR: 2000 ms; TE: 30 ms; flip angle: 85; slice thickness: 5.0 mm;

    inter-slice gap: 2.0 mm, number of frames: 254).

    3.2.3 CONTROL OF PETO2 AND PETCO2

    Subjects breathed via a sequential gas delivery manifold containing a gas reservoir on the

    exhalation port to enable sequential rebreathing (Slessarev et al. 2007a). Transparent skin

    tape (Tegaderm 3M St. Paul, MN) was used to secure an occlusive mask to the face and to

    ensure an air tight fit. A custom built gas blender (RespirActTM

    , Thornhill Research Inc.,

    Toronto, Canada) used algorithms described by Slessarev et al (Slessarev et al. 2007b) to

  • 36

    supply specific flows and gas blends of O2, CO2 and N2 to the manifold to attain targeted

    normoxic changes in PETCO2.

    We applied parallel hypercapnic and hypocapnia sequences (as opposed to mirror-image

    sequences) because of the hysteresis inherent in the cerebrovascular response when PETCO2

    is being raised and lowered (Ide et al. 2003c).

    The hypercapnic protocol (Table 3-1) consisted of the following cyclical changes in PETCO2

    - normocapnia (PETCO2 40 mmHg) for 10 s, hypercapnia (PETCO2 50 mmHg) for 45

    seconds, normocapnia for 100 seconds, hypercapnia for 180 seconds, and normocapnia 110

    seconds, all under normoxia (PETO2 100 mmHg).

    The hypocapnic protocol (Table 3-2) consisted of the following cyclical changes in PETCO2 -

    hypocapnia (PETCO2 30 mmHg) for 10 seconds, normocapnia (PETCO240 mmHg) for 45

    seconds, hypocapnia for 100 seconds, normocapnia for 180 seconds and hypocapnia for 110

    seconds, all under normoxia (PETO2 100 mmHg).

    PETCO2 and PETO2 were monitored continuously by the RespirActTM

    gas analyzers.

    Respiratory data was sampled at 20 Hz, digitized and recorded (LabView, National

    Instruments Corporation, Austin, TX).

    3.2.4 DETERMINATION OF CEREBROVASCULAR REACTIVITY

    BOLD MRI and PETCO2 data were imported into the software AFNI 12(Cox 1996d;Cox and

    Hyde 1997a). BOLD images and diffusion-weighted images were automatically co-

    registered to the T1-weighted anatomical dataset (Saad 2009 NeuroImage) to standardize

    images and facilitate analysis of grouped data. PETCO2 data was time-shifted to the point of

    maximum correlation with the whole brain average BOLD signal to compensate for temporal

    error between end-tidal gas sampling and the BOLD signal time course (Figure 3-1). A line

    of best fit of the BOLD time series to that of the PETCO2 was performed voxel by voxel,

    using least squares, and the correlation coefficient, r, calculated. For voxels exceeding r of

  • 37

    0.25, CVR was calculated as the slope of the line of best fit graphing BOLD signal vs.

    PETCO2. The CVR value for a voxel was represented by assigning it a color from spectrum

    ranging from neutral, through yellow to red according to the strength of positive correlations

    and from neutral to dark blue for negative correlations. CVR voxels were overlaid on the

    corresponding anatomical scans to generate „CVR maps‟.

    3.2.5 GREY AND WM SEGMENTATION

    Each of the brain slices were automatically segmented into GM and WM using statistical

    parametric mapping software (SPM5, Wellcome Department of Imaging Neuroscience,

    Institute of Neurology, University College, London, UK) (Figure 3-3).

    Figure 3-1. Anatomical Segmentation Maps. A) Representative segmented GM (red)

    anatomical map (B) Representative segmented WM (red) anatomical map.

    Global CVR was calculated by averaging all voxels. The co-registered anatomical images

    were automatically segmented into GM and WM using statistical parametric mapping

  • 38

    software (SPM5, Wellcome Department of Imaging Neuroscience, Institute of Neurology,

    University College, London, UK) permitting the calculation of CVR for each tissue type.

    Voxel-based morphometry (VBM) of SPM was used to compare the local concentrations of

    GM and WM between two groups of subjects. High resolution anatomical images of all

    subjects in the study was first spatially normalized into the same stereotactic space

    (Talairach) (Lancaster et al. 2000a) GM and WM was then segmented based on the intensity

    of the image measured in each voxel. Each voxel was then assigned to a tissue class (GM or

    WM) based on the prior the measured intensity probabilities derived from intensity maps

    previously generated from a large number of subjects (Ashburner and Friston 2000).

    3.2.6 STATISTICAL ANALYSIS

    3.2.6.1 TESTING FOR DIFFERENCES IN CVR GLOBALLY

    (HYPERCAPNIC CVR VS HYPOCAPNIC CVR)

    A Paired t-test was used to determine if the global CVR measured at hypercapnia and

    hypocapnia were significantly different.

    3.2.6.2 TESTING FOR DIFFERENCES IN CVR BETWEEN AND WITHIN GREY AND WHITE

    MATTER

    The BOLD CVR measure is proportional to tissue blood volume, which is very different

    between grey and white matter. Since we were primarily interested in the relative changes in

    BOLD CVR as measured by a hypocapnic versus a hypercapnic challenge, we calculated the

    normalized proportional change in BOLD CVR in each subject separately in grey and white

    matter (Figure 3-2). This proportional change represents a simple measure of non linearity of

    the BOLD CVR curve over the range of PaCO2 investigated (30 to 40 to 50 mmhg) that is

    unaffected by a change in the scale of the BOLD CVR measure (Figure 3-3). By defining the

  • 39

    BOLD CVR non linearity in this way, the difference in the degree of nonlinearity between

    grey and white matter can be directly compared using a paired t-test.

    BOLD CVRHypercapnia – BOLD CVRHypocapnia

    ---------------------------------------------------------------------------------------------

    BOLD CVRHypercapnia + BOLD CVRHypocapnia

    --------------------------------


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