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Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

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Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same). P Wilkes MD, PhD, FRCP University of Ottawa Heart Institute. Guiding Principles. Physiology will not violate the laws of chemistry and physics - PowerPoint PPT Presentation
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Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same) P Wilkes MD, PhD, FRCP P Wilkes MD, PhD, FRCP University of Ottawa Heart Institute University of Ottawa Heart Institute
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Page 1: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Quantitative Acid-Base Chemistry & Acid-Base Physiology

(They are not the same)

P Wilkes MD, PhD, FRCPP Wilkes MD, PhD, FRCP

University of Ottawa Heart InstituteUniversity of Ottawa Heart Institute

Page 2: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Guiding Principles

Physiology will not violate the laws of Physiology will not violate the laws of chemistry and physicschemistry and physics

There is a difference between cause and There is a difference between cause and effect vs. correlation (physics vs. math)effect vs. correlation (physics vs. math)

In many ways – you do not know anything In many ways – you do not know anything unless you know everythingunless you know everything

(If the devil is in the details – so is salvation)(If the devil is in the details – so is salvation)

Page 3: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Learning Objectives

The ChemistryThe Chemistry The PhysiologyThe Physiology The Clinical ApproachThe Clinical Approach

Page 4: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

The ‘Chemistry’ in the Text BooksThe ‘Chemistry’ in the Text Books‘The CO‘The CO22 Hydration Reaction’ Hydration Reaction’

Chemical Description:Chemical Description:

COCO22 + H + H220 H0 H22COCO3 3 HCO HCO33-- + H + H++

Mathematical Description, the Mathematical Description, the Henderson-Hasselbalch equation:Henderson-Hasselbalch equation:

pH = pH = pK + log [HCOpK + log [HCO33--]]

((..PCOPCO22))

Page 5: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

7.0 7.4 7.6 7.0 7.4 7.6

3030

2424

1414

PCOPCO22=40=40[HCO[HCO33

--]]PCOPCO22=60=60

PCOPCO22=30=30

Resp acidosisResp acidosis

Resp alkalosisResp alkalosis

Metab acidosisMetab acidosis

Metab alkalosisMetab alkalosis

Page 6: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

7.0 7.4 7.6 7.0 7.4 7.6

3030

2424

1414

PCOPCO22=40=40

[HCO[HCO33--]]

PCOPCO22=60=60

PCOPCO22=30=30HgHg

pHpH

Page 7: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

7.0 7.4 7.6 7.0 7.4 7.6

3030

2424

1414

PCOPCO22=40=40

[HCO[HCO33--]]

BaseBase ExcessExcess

MeasuredMeasured DecreaseDecrease in [HCOin [HCO33

--]]

BE = (1-0.014Hgb)(HCO3-24)+(1.43Hgb +7.7)(pH-7.4)BE = (1-0.014Hgb)(HCO3-24)+(1.43Hgb +7.7)(pH-7.4)

pHpH

PCOPCO22=30=30

Page 8: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

COCO22 Hydration Reaction Hydration Reaction What is the pH of water equilibrated to PCOWhat is the pH of water equilibrated to PCO22 = =

40 mmHg?40 mmHg? ? ? 7.47.4 ? ? HigherHigher ? ? LowerLower

AnswerAnswer 4.44.4 What is the HCOWhat is the HCO33??

? 24 mEq/L? 24 mEq/L? Higher? Higher? Lower? Lower

Answer < 1 mEq/LAnswer < 1 mEq/L

Page 9: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

What is Going On?What is Going On?

The Problem:The Problem:The COThe CO22 hydration reaction does hydration reaction does

not predict what we measure in blood!!not predict what we measure in blood!!Nevertheless, the Henderson-Nevertheless, the Henderson-

Hasselbalch equation does??Hasselbalch equation does?? The Answer:The Answer:

The COThe CO22 hydration reaction is hydration reaction is

either wrong or incompleteeither wrong or incomplete

Page 10: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Modern Quantitative Acid – Base Chemistry(The Real Chemistry)

Peter A Stewart

Can J Physio Pharmacol 61: 1444 - 1461, 1983

Page 11: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Physical Chemistry of COPhysical Chemistry of CO22 and Water and Water Condition: Condition: PCOPCO22 = = 440 mmHg0 mmHg

Equations:Equations: [H[H++][OH][OH--] = K’w] = K’w

COCO22(K(K11) = [HCO) = [HCO33--][H][H++]]

[HCO[HCO33--](K](K22) = [CO) = [CO33

==][H][H++]]

[H[H++] - [HCO] - [HCO33--] - [CO] - [CO33

==] - [OH] - [OH--] = 0] = 0

SolvingSolving: : [H[H++] = ] = 0.00.036 mEq/L, pH = 4.44 !!36 mEq/L, pH = 4.44 !![HCO[HCO33

--] = 0.036 mEq/L] = 0.036 mEq/L

[CO[CO33==] and [OH] and [OH--] < 1 x 10] < 1 x 10-6-6 mEq/L mEq/L

[H[H++], [HCO], [HCO33--], [CO], [CO33

==], [OH], [OH--] are determined ONLY by PCO] are determined ONLY by PCO22 & &

Dissociation ConstantsDissociation Constants

At pH 7.4At pH 7.4

(i.e. [H(i.e. [H++] = 4x10] = 4x10-5-5 mEq/L) mEq/L)

HCOHCO33 = 24 mEq/L = 24 mEq/L

How do you accountHow do you account

for electrical neutrality?for electrical neutrality?

Page 12: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

NaOH = 5

0

10

20

30

40

0 10 20 30 40 50 60

PCO2 (mmHg)

HC

O3 m

mol

/LHow to Make Bicarb ?

NaOH = 20

NaOH = 40

Necessary ConditionNecessary Condition

[fixed + charge][fixed + charge]

&&

PCOPCO22

Page 13: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

The Fixed Positive Charge and Other Acids

Plasma [NaPlasma [Na++] + [K] + [K++] – [Cl] – [Cl--]] 140 mEq/L + 4 mEq/L – 100 mEq/L 140 mEq/L + 4 mEq/L – 100 mEq/L

~ 44 mEq/L positive charge~ 44 mEq/L positive charge This is the Strong Ion Difference (SID)This is the Strong Ion Difference (SID) Other Acids ?Other Acids ?

AlbuminAlbumin PhosphatePhosphate Albumin + Phosphate = [Atot]Albumin + Phosphate = [Atot] ~ Total Protein (g/L) x 0.25 = Atot (mEq/L)~ Total Protein (g/L) x 0.25 = Atot (mEq/L)

Page 14: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

The Chemically Complete The Chemically Complete SolutionSolution

Multiple componentsMultiple components

COCO22 hydration reaction hydration reaction

Weak Acids (Blood is thicker than water) Weak Acids (Blood is thicker than water)

Electrical NeutralityElectrical Neutrality Systems Approach:Systems Approach:

Solve All Equations SimultaneouslySolve All Equations SimultaneouslyIndependent vs. Dependent VariablesIndependent vs. Dependent Variables

Page 15: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Water dissociation equilibrium

[H+] x [OH-] = K’wWeak acid dissociation equilibrium

[H+] x [A-] = KA x [HA]Conservation of mass for “A”

[HA] + [A-] = [ATOT]Bicarbonate ion formation equilibrium

[H+] x [HCO3-] = KC x pCO2

Carbonate ion formation equilibrium

[H+] x [CO32-] = K3 x [HCO3

-] Electrical neutrality

[SID] + [H+] - [HCO3-] - [A-] - [CO3

2-] - [OH-] = 0SID – HCOSID – HCO33 – [A – [A--] ~0] ~0

Na + K – Cl – HCONa + K – Cl – HCO33 ~ [A ~ [A--] (Is this familiar?)] (Is this familiar?)

[A[A--] is the anion gap] is the anion gap

Page 16: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

• Only the whole set of six equations can explain the quantitative properties of the system, and permit evaluation of any of the dependent variables

• No one of the six equations is more, or less, important than the others. All six are essential

Page 17: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

[H+]4 + {KA+[SID]} [H+]3 + {KA([SID]-[Atot])-(K1

.CO2+K’w)} [H+]2 - {KA(K1

.CO2+K’w)+K2.K1

.CO2} [H+] - KA

.K2.K1

.CO2 = 0

A[X]4 + B[X]3 + C[X]2 + D[X] + E = 0

Solve for [H+] and get a big wet kiss:

Please put away all calculators, you have 30 seconds beginning now

Page 18: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

A Fourth Order Polynomial !?!

DUOH !?!Now what do I do??

Page 19: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

I know – Use a computer ! ?Insert: SID = Na+K-Cl = 140 + 4 -100

= 44 mEq/LPCO2 = 40 mmHgTprot = 80 g/L = 20 mEq/L

[H+]4 + {KA+ [44] } [H+]3 + {KA( [44] - [20] )-(K1.40+K’w)} [H+]2 - {KA(K1.40+K’w)+K2

.K1.40} [H+] - KA

.K2.K1

.40 = 0

[H[H++] = 3.98 x 10] = 3.98 x 10–8–8

-Log 3.98 x 10-Log 3.98 x 10-8-8 = 7.4 = 7.4

Page 20: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Water dissociation equilibrium

[H+] x [OH-] = K’wWeak acid dissociation equilibrium

[H+] x [A-] = KA x [HA]Conservation of mass for “A”

[HA] + [A-] = [ATOT] (20 mEq/L)Bicarbonate ion formation equilibrium

[H+] x [HCO3-] = KC x pCO2 (40 mmHg)

Carbonate ion formation equilibrium

[H+] x [CO32-] = K3 x [HCO3

-] Electrical neutrality

[SID] (44 mEq/L) + [H+] - [HCO3-] - [A-] - [CO3

2-] - [OH-] = 0[H[H++] is determined by SID, PCO] is determined by SID, PCO22 and Atot and Atot

[H[H++] = 3.98x10] = 3.98x10-8-8 Eq/L (pH=7.4) in all 6 equations only if Eq/L (pH=7.4) in all 6 equations only if

SID=44 mEq/L, PCOSID=44 mEq/L, PCO22=40mmHg and Atot=20 mEq/L=40mmHg and Atot=20 mEq/L

Therefore [HCOTherefore [HCO33] must be ~ 24 mM/L] must be ~ 24 mM/L

(math not chemistry)(math not chemistry)

Why Does the Henderson-Hasselbalch EquationWhy Does the Henderson-Hasselbalch Equation

Seem to Work?Seem to Work?

Page 21: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Paradigm Shift[H[H++] = 3.98 x 10] = 3.98 x 10-8-8 Eq/L (i.e. pH=7.4) Eq/L (i.e. pH=7.4) ANDAND HCO HCO33 = 24 mmol/L because: = 24 mmol/L because:

SID = 44 mEq/LSID = 44 mEq/LPCOPCO22 = 40 mmHg = 40 mmHgTprot = 80 g/L (~20 mEq/L)Tprot = 80 g/L (~20 mEq/L)

1) [H1) [H++] and [HCO] and [HCO33] DO NOT INFLUENCE EACH OTHER] DO NOT INFLUENCE EACH OTHER

2) The CO2) The CO22 hydration reaction: hydration reaction:

a) incomplete chemical description of the systema) incomplete chemical description of the system

b) predicts acid-base but does not offer a cause/effect explanationb) predicts acid-base but does not offer a cause/effect explanation

3) You must understand normal acid-base before you can understand 3) You must understand normal acid-base before you can understand abnormal acid-baseabnormal acid-base

Page 22: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Does the Equation Work?Does the Equation Work?

y = 1.1101x - 0.8447

R2 = 0.8092

7.1

7.2

7.3

7.4

7.5

7.6

7.7

7.2 7.3 7.4 7.5 7.6 7.7

pH Measured

pH C

alcu

late

d

(Wilkes AJP:1998)(Wilkes AJP:1998)

Page 23: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Independent vs. DependentIndependent vs. Dependent

DependentDependent

H, HCOH, HCO33, CO, CO33, Prot, ProtH, OH , Prot, ProtH, OH

(not functions of dIn, dOut or Vd)(not functions of dIn, dOut or Vd)

COCO22 NaNa++, Cl, Cl--

ProteinProtein

IndependentIndependent

PCOPCO22 = = ƒ(VCOƒ(VCO22, VA), VA)

SID = ƒ(dIn/dOut, Vd), Na, ClSID = ƒ(dIn/dOut, Vd), Na, ClAtot = ƒ(dIn, dOut, Vd)Atot = ƒ(dIn, dOut, Vd)

In VitroIn Vitro In VivoIn Vivo

Page 24: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

SummarySummary

PCOPCO22

[Tprot][Tprot]

[SID][SID][H[H++] = ] = ƒƒ([SID], PCO([SID], PCO22, [Tprot]), [Tprot])

A(X)A(X)4 4 + B(X)+ B(X)3 3 + C(X)+ C(X)22 + D(X) + E = 0 + D(X) + E = 0

[H[H++]]

[OH[OH--]]

[HCO[HCO33--]]

[CO[CO33==]]

[Prot.H][Prot.H]

[Prot[Prot--]]

Cause and EffectCause and Effect

Page 25: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Conceptual Consequences The model predicts what we measureThe model predicts what we measure HH++ and HCO and HCO33 are both determined by are both determined by

chemistry chemistry IN PLASMAIN PLASMA, NOT physiology, NOT physiology HH++ and HCO and HCO33 are not determined by intake are not determined by intake

or loss – the kidney is irrelevant!!or loss – the kidney is irrelevant!! What does physiology control?What does physiology control?

1) The concentrations of Na, K, Cl 1) The concentrations of Na, K, Cl

and thus the strong ion differenceand thus the strong ion difference

2) PCO2) PCO22

3) Total weak acid concentration3) Total weak acid concentration

Page 26: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Influence of [SID]Influence of [SID]

[Na[Na++] = 137 mEq/L] = 137 mEq/L [Na[Na++] = 143 mEq/L ] = 143 mEq/L

[K[K++] = 4 mEq/L] = 4 mEq/L [K[K++] = 4 mEq/L ] = 4 mEq/L

[Cl[Cl--] = 105 mEq/L] = 105 mEq/L [Cl[Cl--] = 96 mEq/L ] = 96 mEq/L

[SID] = 36 mEq/L[SID] = 36 mEq/L [SID] = 51 mEq/L[SID] = 51 mEq/L

PCOPCO22 = 40 mmHg = 40 mmHg PCOPCO22 = 40 mmHg = 40 mmHg

[Tprot] = 80 g/L[Tprot] = 80 g/L [Tprot] = 80 g/L[Tprot] = 80 g/L

pH = 7.29pH = 7.29 pH = 7.51pH = 7.51

[HCO[HCO33--] = 20 mEq/L] = 20 mEq/L [HCO[HCO33

--] = 34 mEq/L] = 34 mEq/L

[Prot[Prot--] = 16 mEq/L] = 16 mEq/L [Prot[Prot--] = 17 mEq/L] = 17 mEq/L

Page 27: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

‘‘Electrolyte’ AcidosisElectrolyte’ Acidosis

Usually iatrogenicUsually iatrogenic Assumed to be ‘benign’Assumed to be ‘benign’ However:However:

Gut hypoperfusion/Post Op N/VGut hypoperfusion/Post Op N/V(Gan, Anesth.1999; Williams, Anesth Analg. 1999)(Gan, Anesth.1999; Williams, Anesth Analg. 1999)

Impaired Renal Blood Flow, GFRImpaired Renal Blood Flow, GFR(Wilcox, J Clin Invest, 1983)(Wilcox, J Clin Invest, 1983)

Difficulty diagnosing Lactacidosis?Difficulty diagnosing Lactacidosis?

Page 28: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

First Patient 74 yo male, 48 hrs post MI, on BIPAP74 yo male, 48 hrs post MI, on BIPAP S. aureus infection, osteomyolytis (by S. aureus infection, osteomyolytis (by

MRI for neck pain) vs. endocarditis (by MRI for neck pain) vs. endocarditis (by ECHO)ECHO)

Mod MR, EF 50%, no inotropes, stable Mod MR, EF 50%, no inotropes, stable BP (No Swan)BP (No Swan)

COPD, DM, Creat 173COPD, DM, Creat 173 7.29/42/80/20/-6.7 7.29/42/80/20/-6.7 AG = 15AG = 15 Are you worried ?Are you worried ?

Page 29: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

First Patient: Approach Electrolytes:Electrolytes:

Na = 132, K = 4.9, Cl = 102Na = 132, K = 4.9, Cl = 102SID = 34 mEq/LSID = 34 mEq/L

Total Protein:Total Protein:64 g/L ~ 15 mEq/L64 g/L ~ 15 mEq/L

Electrical Neutrality:Electrical Neutrality:SID – HCO3 – Prot- ~ 0SID – HCO3 – Prot- ~ 0

34 - 20 - 15 = -134 - 20 - 15 = -1 Lactate = 1.5 mEq/LLactate = 1.5 mEq/L Electrolyte based acidosis, low SIDElectrolyte based acidosis, low SID

Page 30: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

SID and Acid-Base

0

20

40

60

80

100

120

140

160

Cations Anions

[Na+]

[Cl-]

[HCO3-]

[Prot-]

0

20

40

60

80

100

120

140

160

Cations Anions

[Na+]

[Cl-]

[HCO3-]

[Prot-]

Very common cause of met acidosisVery common cause of met acidosis

Iatrogenic hyperchloremic metabolic acidosis Iatrogenic hyperchloremic metabolic acidosis

How does this occur?How does this occur?

Page 31: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Influence of Plasma ProteinInfluence of Plasma Protein

Normal Protein = 80 g.LNormal Protein = 80 g.L-1-1 SID = 44 mEq.LSID = 44 mEq.L-1-1 PCOPCO22 = 40 mmHg = 40 mmHg

pH = 7.42 pH = 7.42 [HCO[HCO33

--] = 27 mmol.L] = 27 mmol.L-1-1

[Prot[Prot--] = 16.8 mEq.L] = 16.8 mEq.L-1-1

Low Protein = 40 g.LLow Protein = 40 g.L-1-1 SID = 44 mEq.LSID = 44 mEq.L-1-1 PCOPCO22 = 40 mmHg = 40 mmHg

ppH = 7.533H = 7.533 [HCO[HCO33

--] = 35 mEq.L] = 35 mEq.L-1-1

[Prot[Prot--] = 8.7 mEq.L] = 8.7 mEq.L-1-1

Page 32: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Hypoproteinemic Metabolic Hypoproteinemic Metabolic AlkalosisAlkalosis

0

20

40

60

80

100

120

140

160

Cations Anions

0

20

40

60

80

100

120

140

160

Cations Anions

NaNa ClCl

HCO3Prot-

HCO3

Prot-

NaNa ClCl

Page 33: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

HypoproteinemiaHypoproteinemia

Decrease in COP Decrease in COP (Schupbach et al., Vox Sang (Schupbach et al., Vox Sang 35:332, 1978; Zabala Ann Ital Chir LXIV 4:387, 1993)35:332, 1978; Zabala Ann Ital Chir LXIV 4:387, 1993)

Fluid Shifts/RetentionFluid Shifts/Retention Glomerular Filtration PressureGlomerular Filtration Pressure

Metabolic Alkalosis Metabolic Alkalosis (McAuliffe et al., Am J Med (McAuliffe et al., Am J Med 81:86, 1986)81:86, 1986)

Page 34: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Consequences of Consequences of Hypoproteinemic Metabolic Hypoproteinemic Metabolic

AlkalosisAlkalosis Hypoventilation Hypoventilation (McAuliffe AJM, 1986)(McAuliffe AJM, 1986)

Hyperventilation ! Hyperventilation ! (Rossing, J Lab Clin Med, 1988)(Rossing, J Lab Clin Med, 1988)

Difficulty assessing acid-base statusDifficulty assessing acid-base status Anion gap = (Na + K – Cl – HCOAnion gap = (Na + K – Cl – HCO33

--) = Prot) = Prot--

Hides lactacidosisHides lactacidosis

Page 35: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Case #3: POD #1 2200 hr, Emergency CABG

LV III, Inotropic support, IABPLV III, Inotropic support, IABP 105/60, 38/20, CI = 2.0, SVR = 1200105/60, 38/20, CI = 2.0, SVR = 1200 ABG = 7.45/40/155/29/-2.2ABG = 7.45/40/155/29/-2.2 Anion gap = Na + K – Cl – HCO3 = 17Anion gap = Na + K – Cl – HCO3 = 17 Are you concerned ?Are you concerned ?

Page 36: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Third Patient: ApproachThird Patient: Approach

Step 1: Electrolytes and SIDStep 1: Electrolytes and SIDNa = 139Na = 139K = 3.5K = 3.5Cl = 96Cl = 96SID = 46 mEq/LSID = 46 mEq/L

Step 2: Total Protein = 40 g/LStep 2: Total Protein = 40 g/L Convert to mEq/L: 40 g/L x 0.25 = 10 mEq/LConvert to mEq/L: 40 g/L x 0.25 = 10 mEq/L

Page 37: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Third Patient: Approach

Step 3: Electrical NeutralityStep 3: Electrical NeutralitySID – HCO3 – ProtSID – HCO3 – Prot-- ~ 0 ~ 0 ++ 5 mEq/L 5 mEq/L

46.5 – 29 – 10 = 7.5 mEq/L46.5 – 29 – 10 = 7.5 mEq/L

Either:Either: Lab variation (~ 2%)Lab variation (~ 2%)Unmeasured acidUnmeasured acid

Lactate = 8 mEq/LLactate = 8 mEq/L (Type A) (Type A)

Dead gut on laparotomyDead gut on laparotomy

Page 38: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

The Danger of Hypoproteinemic Alkalosis

0

20

40

60

80

100

120

140

160

Cations Anions

[Na+][Cl-]

[HCO3-]

[Prot-]

0

20

40

60

80

100

120

140

160

Cations Anions

[Na+] [Cl-]

[HCO3-]

[Lact-]

[Prot-]

Page 39: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

How does Stewart approach affect

concept of Anion Gap ?

AG = Na+K-Cl-AG = Na+K-Cl-HC0HC033 = [Prot = [Prot--] ]

= [A= [A--]]

from [HA]Ka = [A from [HA]Ka = [A--][H][H++]] [Atot] = [HA] + [Atot] = [HA] +

[A[A--]] [A [A--] = ] = KaAtotKaAtot Ka+[H Ka+[H++]]

Therefore: AG can be Therefore: AG can be measured directlymeasured directly

0

20

40

60

80

100

120

140

160

Cations Anions

NaNa ClCl

HCO3HCO3

ProtProtSIDSID

AGAG

Page 40: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

How does the Stewart approach affect concept of BE?

From BE = (1-0.014Hgb)(HCOFrom BE = (1-0.014Hgb)(HCO33-24)+(1.43Hgb +7.7)(pH-7.4) -24)+(1.43Hgb +7.7)(pH-7.4)

BE = 0 when pH = 7.4 and [HCO BE = 0 when pH = 7.4 and [HCO33] = 24] = 24

From Stewart:From Stewart: pH and pH and [HCO[HCO33] are dependent upon prevailing PCO] are dependent upon prevailing PCO22, SID and Atot, SID and Atot

Therefore BE is also a function of PCOTherefore BE is also a function of PCO22, SID and Atot, SID and Atot

Atot and SID can both be altered by pathophysiology such that Atot and SID can both be altered by pathophysiology such that neither pH or HCOneither pH or HCO33 change change

Both Atot and SID should be assessed during a clinical evaluationBoth Atot and SID should be assessed during a clinical evaluation

Page 41: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Information from BEBE = (1-0.014Hgb)(HCO3-24)+(1.43Hgb +7.7)(pH-7.4)BE = (1-0.014Hgb)(HCO3-24)+(1.43Hgb +7.7)(pH-7.4)

HgB = 14HgB = 14

pH = 7.4pH = 7.4

HCO3 = 24HCO3 = 24

PCO2 = 40PCO2 = 40

BE = 0BE = 0

Na = 140Na = 140

K = 4K = 4

Cl = 100Cl = 100

AG = 16AG = 16

pH = 7.3pH = 7.3

HCO3 = 16HCO3 = 16

PCO2 = 30PCO2 = 30

BE = -9.2BE = -9.2

Na = 140Na = 140

K = 4K = 4

Cl = 100Cl = 100

AG = 24 AG = 24

Lact = 10Lact = 10

SID = 44 (-10)SID = 44 (-10)

Tprot = 20 mEq/LTprot = 20 mEq/L

SID-HCO3-TP~0SID-HCO3-TP~0

34 – 16 – 20 = 234 – 16 – 20 = 2

SID = 44SID = 44

Tprot = 20 mEq/LTprot = 20 mEq/L

SID-HCO3-TP~0SID-HCO3-TP~0

44 – 24 – 20 ~ 044 – 24 – 20 ~ 0

pH = 7.38pH = 7.38

HCO3 = 25HCO3 = 25

PCO2 = 40PCO2 = 40

BE = +1.2BE = +1.2

Na = 140Na = 140

K = 4K = 4

Cl = 100Cl = 100

AG = 15AG = 15

SID = 44SID = 44

Tprot = 10 mEq/LTprot = 10 mEq/L

SID-HCO3-TP~10SID-HCO3-TP~10

44 – 25 – 10 = 944 – 25 – 10 = 9

pH = 7.24pH = 7.24

HCO3 = 16HCO3 = 16

PCO2 = 35PCO2 = 35

BE = -10.9BE = -10.9

Na = 130Na = 130

K = 4K = 4

Cl = 105Cl = 105

AG = 9AG = 9

SID = 29SID = 29

Tprot = 15Tprot = 15

SID-HCO3–TP~ 0SID-HCO3–TP~ 0

29 – 16 – 15 = -229 – 16 – 15 = -2

Lact = 0Lact = 0Lact = 10Lact = 10

Page 42: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Model SummaryModel Summary

SID (electrolyte or metabolic) SID (electrolyte or metabolic) acidosisacidosis

SID (electrolyte)SID (electrolyte) alkalosisalkalosis

Weak acid (protein)Weak acid (protein) alkalosis alkalosis ((Weak acid (phosWeak acid (phos--, protein), protein) acidosis)acidosis)

PCOPCO22 acidosis acidosis

PCOPCO22 alkalosisalkalosis

Page 43: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Compensatory Responses Metabolic acidosisMetabolic acidosis HyperventilateHyperventilate

Lower PCOLower PCO22

Metabolic alkalosisMetabolic alkalosis 22ndnd low protein low protein Decrease SID Decrease SID

by increase Clby increase Cl 22ndnd increased SID increased SID HypoventilateHypoventilate

Increase PCOIncrease PCO22

Respiratory acidosisRespiratory acidosis Increase SID byIncrease SID bydecreasing Cldecreasing Cl

Respiratory alkalosisRespiratory alkalosis ?increase protein?increase protein?decrease SID?decrease SID

Page 44: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Permissive Hypercapnia(Wilkes, unpublished)

0102030405060708090

100

0 5 10 15 20 25 30

Days

PCO2 (mmHg)

[HCO3-] (mEq/L)

[SID] (mEq/L)

Page 45: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Permissive Hypercapnia(Wilkes, unpublished)

0

20

40

60

80

100

120

140

160

0 5 10 15 20 25 30

Days

mEq

.L-1

[Na+],(mEq/L)

[Cl-], (mEq/L)

[SID], (mEq/L)

Page 46: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Respiratory Acidosis

Compensatory response to Compensatory response to hypercapnea in severe COPD is to hypercapnea in severe COPD is to increase SID by lowering Cl increase SID by lowering Cl (Alfero 1996)(Alfero 1996)

Page 47: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Influence of [Atot] on [SID](Wilkes AJP 1998)

20

40

60

80

100

120

140

160

8 10 12 14 16 18 20Atot (mEq.L-1)

[Na

+],

[Cl

- ], [S

ID] (

mEq

.L-1

)

[SID]=0.99[Atot]+24.7

[Cl-]=-0.66[Atot]+110.7

[Na+]=0.18[Atot]+134.6

Page 48: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Influence of [Atot] on [ProtInfluence of [Atot] on [Prot--], [HCO], [HCO33--] ]

and [Hand [H++]]

0

10

20

30

40

50

60

8 10 12 14 16 18 20Atot (mEq.L-1)

[Pro

t- ], [

HC

O3

- ], [

H+]

[H+], nEq.L-1

[HC03-], mEq.L-1

[Prot-], mEq.L-1

Page 49: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

The Law of Electrical NeutralityA Law of Physics – it ALWAYS exist

SID SID + H+ H++ - HCO - HCO33-- - Prot - Prot-- - Phos - Phos-- - CO- CO33

== - OH - OH-- =0 =0

SID – HCOSID – HCO33-- - Prot - Prot-- - Phos - Phos-- ~ 0 ~ 0

{HCO{HCO33-- + Prot + Prot-- + Phos + Phos--} ~ SID} ~ SID

{HCO{HCO33-- - Prot - Prot-- - Phos - Phos--} ~ {Na + Mg + Ca + K – Cl – Lact}} ~ {Na + Mg + Ca + K – Cl – Lact}

What if electrical neutrality APPEARS not to exist?What if electrical neutrality APPEARS not to exist?

Page 50: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Influence of Apparent Charge ImbalanceInfluence of Apparent Charge Imbalance[SID] - [HCO[SID] - [HCO33

--] - [Prot] - [Prot--] ~ 0] ~ 0

(Wilkes, AJP, 1998)(Wilkes, AJP, 1998)

y = -0.0146x + 0.0214

R2 = 0.8599

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

-15 -10 -5 0 5 10 15 20

Un-Measured Ions (UMI), (mEq/L)

pH(m

sd-c

alc)

if UMI = 0, dpH = 0.0214if UMI = 0, dpH = 0.0214

Page 51: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Explanations of The Strong Ion Gap

SID SID + H+ H++ - HCO - HCO33-- - Prot - Prot-- - CO- CO33

== - OH - OH-- =0 =0

SID – HCOSID – HCO33-- - Prot - Prot-- = 0 = 0

SID = HCOSID = HCO33-- + Prot + Prot--

If SID = HCOIf SID = HCO33-- + Prot + Prot-- (Strong Ion Gap)? (Strong Ion Gap)?

1.1. Measurement error (Na, Cl Measurement error (Na, Cl ++ 2%) 2%) (Jones 1993)(Jones 1993)

2.2. Error of omission - lactate, ketoacids, Error of omission - lactate, ketoacids, krebs cycle intermediates krebs cycle intermediates (Gilfix 1993, Forni 2005, (Gilfix 1993, Forni 2005,

Moviat 2008)Moviat 2008)

3.3. Ionic concentration vs. activity Ionic concentration vs. activity (Stewart 1978)(Stewart 1978)

Page 52: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Acids – Bases & Salts & Ionic Activity

If NS is equal parts Na and Cl (SID=0) how If NS is equal parts Na and Cl (SID=0) how can you explain the pH = 5.5?can you explain the pH = 5.5?

1) Electrical neutrality refers to ionic 1) Electrical neutrality refers to ionic activity (functional concentration) not activity (functional concentration) not ionic concentration (actual ionic concentration (actual concentration)concentration)

2) NS is also equal parts HCl and NaOH 2) NS is also equal parts HCl and NaOH and HCl is a stronger acid than NaOH is and HCl is a stronger acid than NaOH is base base (Wilkes, 2009)(Wilkes, 2009)

Page 53: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Strong Ion Gap (SIG) In the Critically Ill (Kellum 1998)

Increased SIG in pts with:Increased SIG in pts with: Sepsis Sepsis (Reeves, 1983, Mehta 1986)(Reeves, 1983, Mehta 1986)

Liver disease Liver disease (Kellum 1995, Kirschbaum 1997)(Kellum 1995, Kirschbaum 1997)

Critical illness Critical illness (Mehta 1986)(Mehta 1986)

Animal studies with endotoxemia Animal studies with endotoxemia (Kellum (Kellum

1995)1995)

Critically ill pts with ARF Critically ill pts with ARF (Rocktaeschel 2003)(Rocktaeschel 2003)

May be a predictor of mortality May be a predictor of mortality (Kellum 2004)(Kellum 2004)

Page 54: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Clinical Outcome (Gunnerson CC: 2005)

Page 55: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Definitions of Acid-Base Disturbances Consistent definitions are a necessity to Consistent definitions are a necessity to

assess incidence and outcomeassess incidence and outcome Respiratory disturbances are straight Respiratory disturbances are straight

forwardforward Metabolic acidosis secondary to high Metabolic acidosis secondary to high

chloride is not equivalent to high lactatechloride is not equivalent to high lactate Organic vs. electrolyteOrganic vs. electrolyte

Metabolic alkalosis from elevated SID or Metabolic alkalosis from elevated SID or hypoproteinemiahypoproteinemia Organic vs. electrolyteOrganic vs. electrolyte

Page 56: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

SID and the ICU Need to define acid-base disorders Need to define acid-base disorders

based on physical principles, not HCObased on physical principles, not HCO33 and Hand H++

Clinical outcome may be a function of Clinical outcome may be a function of underlying physical principle more so underlying physical principle more so than the actual pHthan the actual pH

Need to define what is normal for a Need to define what is normal for a given populationgiven population

We still do not have a complete We still do not have a complete understanding of the physical chemistryunderstanding of the physical chemistry

Page 57: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Basic Clinical Approach at 02:00

pH=7.05, HCOpH=7.05, HCO33=12, BE=-12, PCO=12, BE=-12, PCO22=30=30 ETT, O2, #14 iv and volume, inotropes, Sx and/or antibxETT, O2, #14 iv and volume, inotropes, Sx and/or antibx Most other casesMost other cases Measure electrolytes – calculate SID Measure electrolytes – calculate SID

Normal is 40-44 mEq/LNormal is 40-44 mEq/L Measure Measure TPrt x 0.25 = Atot (mEq/L)TPrt x 0.25 = Atot (mEq/L) Estimate electrical Estimate electrical neutrality fromneutrality from [SID] – Atot – [SID] – Atot – [HCO[HCO33] ] ++ 5 5 If >5 then check If >5 then check lactatelactate If lactate normal then If lactate normal then +SIG (equally bad)+SIG (equally bad)

Page 58: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Case 2: POD # 0, Elective CABG

PMHx:PMHx:79 yo male with peripheral, cerebral 79 yo male with peripheral, cerebral

vascular diseasevascular disease Intra Op:Intra Op:

SVG x 2, off CPB with mil/levoSVG x 2, off CPB with mil/levoincreased abdominal girth increased abdominal girth

CI=1.8, SVR=1477, BP=115/55, Ppa 50/20CI=1.8, SVR=1477, BP=115/55, Ppa 50/207.35/36/104/20/-5.4 AG = 9.27.35/36/104/20/-5.4 AG = 9.2

Are you worried ?Are you worried ?

Page 59: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Second Patient: Approach1) Electrolytes:1) Electrolytes:

Na = 136Na = 136K = 5.2K = 5.2Cl = 112Cl = 112SID = 29.2 mEq/LSID = 29.2 mEq/L

2) Total Protein = 33 g/L ~ 7.6 mEq/L2) Total Protein = 33 g/L ~ 7.6 mEq/L

3) Electrical Neutrality:3) Electrical Neutrality:29.2 – 20 – 7.6 = 1.6 mEq/l29.2 – 20 – 7.6 = 1.6 mEq/l

4) Lactate = 2 mEq/L4) Lactate = 2 mEq/L

5) Compensated hypoproteinemic alkalosis 5) Compensated hypoproteinemic alkalosis (Wilkes, AJP, 1998)(Wilkes, AJP, 1998)

Page 60: Quantitative Acid-Base Chemistry & Acid-Base Physiology (They are not the same)

Questions


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