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Media Formulation, Media Optimisation,

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Criteria for good medium It will produce the maximum yield of product or biomass per gram of substrate used It will produce the maximum concentration of biomass or product It will permit the maximum rate of product formation There will be minimum yield of undesired products It will be of consistent quality and available throughout the year It will cause minimal problems during medium sterilization Other aspects of production process such as aeration, agitation, downstream processing, waste treatment
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Page 1: Media Formulation, Media Optimisation,

Criteria for good medium• It will produce the maximum yield of product or biomass per gram of substrate used

• It will produce the maximum concentration of biomass or product

• It will permit the maximum rate of product formation

• There will be minimum yield of undesired products• It will be of consistent quality and available throughout the year

• It will cause minimal problems during medium sterilization

• Other aspects of production process such as aeration, agitation, downstream processing, waste treatment

Page 2: Media Formulation, Media Optimisation,

Medium designed will affect the design of fermenter ex oxidation of hydrocarbons highly aerobic process –air lift reactor

Problems will be encountered in scaling up. Since large reactors will have low mass transfer rate

High viscous medium will consume more power.

Besides growth and product formation medium will influence the pH variation, foam formation, morphological form of organism etc.,

Page 3: Media Formulation, Media Optimisation,

Use of complex nutrients will influence downstream processing

Variation in complex nutrients will result in batch to batch variations.

Medium cost has to be considered depending on the product type. Eg. For single cell protein production medium cost is more than 50 % of production cost. In the case of pencillin it is 30% and in recombinant products it is less than 10 %.

Page 4: Media Formulation, Media Optimisation,
Page 5: Media Formulation, Media Optimisation,
Page 6: Media Formulation, Media Optimisation,
Page 7: Media Formulation, Media Optimisation,
Page 8: Media Formulation, Media Optimisation,
Page 9: Media Formulation, Media Optimisation,
Page 10: Media Formulation, Media Optimisation,

Medium formulationMedium formulation is essential stage in

manufacturing process

Carbon & Nitrogen other

Energy + sources + O2 + nutrients

Sources Biomass + products + CO2 +H2O +heat

Elemental composition of microorganisms may be taken as guide

Design of medium will influence the oxygen requirements

Page 11: Media Formulation, Media Optimisation,

Elemental compositionElement Bacteria Yeast Fungi

Carbon 50-53 45-50 40-63Hydrogen 7 7 7Nitrogen 12-15 7.5-11 7-10 Phosphorus 2-3 0.8-2.6 0.4-4.5Sulphur 0.2-1.0 0.01-0.24 0.1-0.5Potassium 1.0-4.5 1-4 0.2-2.5

Sodium 0.5-1.0 0.01-0.1 0.02-0.5

Calcium 0.01-1.1 0.1-0.3 0.1-1.4Magnesium 0.1-0.5 0.1-0.5 0.1-0.5

Chloride 0.5 -- --Iron 0.02-0.2 0.01-0.5 0.1-0.2

Page 12: Media Formulation, Media Optimisation,

WATERAssessing suitability of water

- pH- dissolved salts- effluent contamination

In olden days mineral content is important- High Ca for dark beers- High carbonate for stouts

Nowadays- Deionisation of water

Reuse of water is important- It reduces water cost by 50%- Effluent treatment cost by 10 fold

Page 13: Media Formulation, Media Optimisation,

Carbon sources

Factors influencing the carbon source- Cost of the product- rate at which it is metabolized- geographical locations- government regulations- cellular yield coefficientMethane - 0.62Alkanes - 1.03Glucose - 0.51Acetate - 0.34

Page 14: Media Formulation, Media Optimisation,

Examples of carbon sourcesExamples of carbon sourcesCarbohydrates

Starch – max 2%

Molasses (Beet – sucrose 48.5% Raffinose 1.0% Invert sugar 1.0% same in cane molasses 33.4%, 0%, 21.2%)

Sucrose

Glucose

Malt (Barley grains germinated and heat treated)

Other materials of plant origin like soy bean meal, pharmedia

Page 15: Media Formulation, Media Optimisation,

Oils and fatsOils are first used as antifoams and later used as carbon sources (soya oil, olive oil, maize oil, linseed oil etc.,)

Factors favouring oil2.4 times energy than glucoseHence volume advantage of 4 times.some organisms can use only oils for efficient production Eg. antibiotics (Methyl oleate is used in cephalosporin)

Page 16: Media Formulation, Media Optimisation,

Hydrocarbons and their derivatives

Now it is expensivetwo times carbon and three times energy than that of carbohydrates

Page 17: Media Formulation, Media Optimisation,

Nitrogen sourcesNitrogen sources

Inorganic

Ammonia gas, ammonium chloride, ammonium sulphate, ammonium nitrates, sodium nitrates

Ammonia gas used for pH control

Ammonium salts produces acid conditions when ammonia is utilised. pH drift

Sodium nitrate produces alkaline drift

Page 18: Media Formulation, Media Optimisation,

Organic

Organic nitrogen may be supplied by amino acids, protein, urea

Growth will be faster. These are commonly added as complex nitrogen sources such as soy bean meal, corn steep liquor etc., (During storage these sources are affected by moisture, temperature and ageing)

Page 19: Media Formulation, Media Optimisation,

Factors influencing choice of nitrogen Factors influencing choice of nitrogen sourcesource

- Nitrate reductase enzyme is repressed by ammonium ion. Hence ammonia or ammonium salts are preferred

- Ammonium ions represses amino acid uptake in fungal cultivations

- also ammonia regulates acid and alkaline protease production

- antibiotic production by many fungi is influenced by the nitrogen source.

Page 20: Media Formulation, Media Optimisation,

- soy bean meal is preferred in polyene antibiotics production due to slow hydrolysis which prevents ammonia accumulation and in turn aminoacid repression by it

- in gibberellin production, nitrogen source influence production of gibberellins

- some complex nitrogen sources may not be utilised by some microorganisms which may cause problem in downstream processing

Page 21: Media Formulation, Media Optimisation,

MineralsMineralsAll microorganisms require minerals for growth and product formation

Magnesium, phosphorus, potassium, sulphur, calcium, chlorine are essential components

Cobalt, copper, manganese, iron, molybdenum, zinc are also essential but in traces.

Also depending on product analysis apart from biomass minerals will be decided. E.g sulphur in pencillins, cephalosporins, chlorine in chlortetracyclin etc.,

Page 22: Media Formulation, Media Optimisation,
Page 23: Media Formulation, Media Optimisation,

Concentration of phosphate in medium is normally required in excess for buffering the medium. Phosphate concentration in the medium are critical in antibiotic production since some enzymes of biosynthesis are influenced by phosphate

Other metal ions influence the production of secondary metabolites

The functions of each vary from serving in coenzyme functions to catalyze many reactions, vitamin synthesis, and cell wall transport.

Citric acid & Penicillin production – Fe, Zn, Cu

Protease production – Mn

Page 24: Media Formulation, Media Optimisation,

ChelatorsChelatorsMany media cannot be prepared without precipitation during autoclaving. Hence some chelating agents are added to form complexes with metal ions which are gradually utilised by microorganism

Examples of chelators: EDTA, citric acid, polyphosphates etc.,

It is important to check the concentration of chelators otherwise it may inhibit the growth.

In many media these are added separately after autoclaving Or yeast extract, peptone complex with these metal ions

Page 25: Media Formulation, Media Optimisation,

Mandel and Weber, 1969 (g l-1)Urea = 0.3 g(NH4)2 SO4 = 1.4 g

K2HPO4 = 2 g

MnSO4. 7H2O = 1.6 mg

CoCl2.6H2O = 2 mg

CaCl2. 2H2O = 0.4 g

Mg SO4.7H2O = 0.3 g

FeSO4. 7H2O = 5 mg

ZnSO4. 7H2O = 1.4 mg

Peptone = 1 g Yeast extract = 0.25 g Maize / steep liquor= 10 gCellulose = 2 g

Page 26: Media Formulation, Media Optimisation,

Growth FactorsGrowth Factors• Some microorganisms cannot synthesize a full complement of cell components and therefore require preformed compounds called growth factors

• Eg.: vitamins, aminoacids, fatty acids or sterols

• Complex media sources contain most of these compounds. Careful blending of these will give the required growth factors.

• For vinegar production – Calcium Pantothenate

• For Glutamic acid – Biotin

Page 27: Media Formulation, Media Optimisation,

PrecursorsPrecursors

• Some chemicals when added to certain fermentations are directly incorporated into the desired product.

• Eg: Improving the yields of Pencillin production

Page 28: Media Formulation, Media Optimisation,
Page 29: Media Formulation, Media Optimisation,

InhibitorsInhibitors• When certain inhibitors are added to fermentation more of a specific product may be produced

• Eg : Glycerol fermentation• Glycerol production depends on modifying ethanol fermentation by removing acetaldehyde

• Addition of sodium bisulphite forms acetaldehyde bi sulphite. Acetaldehyde is no longer available and dihydroxy acetone is formed.

Page 30: Media Formulation, Media Optimisation,
Page 31: Media Formulation, Media Optimisation,

InducersInducers• Majority of the enzymes are inducible

• Substrates or substrates analogues are used as inducers.

• Enzymes are produced in response to the presence of these compounds in the environment.

• Heterologous protein production in E.coli, yeast etc.,

Page 32: Media Formulation, Media Optimisation,
Page 33: Media Formulation, Media Optimisation,

AntifoamsAntifoams• Most fermentations foaming is major problem.

• It may be due to component in the medium or some factor produced by the microorganism.

• Foaming can be controlled by• Modification of medium• Mechanical foam breakers• Chemical agents antifoams are added Eg: Fatty acids, silicones, PPG 2000

Page 34: Media Formulation, Media Optimisation,

• Antifoams are surface active agents reducing the surface tension in the foam and destabilising the protein films

• An ideal antifoam should have the following properties• Disperse readily and have fast action• Active at low concentrations• Long acting in preventing new foam• Should not be metabolized• Should not be toxic to m.o, humans etc• Cheap, should not cause problem in fermentation

Page 35: Media Formulation, Media Optimisation,

Medium OptimizationMedium Optimization

Page 36: Media Formulation, Media Optimisation,

When considering the biomass growth

phase in isolation, it must be

recognized that efficiently grown

biomass produced by an ‘optimized’ high

productivity growth phase is not

necessarily best suited for its

ultimate purpose, such as synthesizing

the desired product.

Page 37: Media Formulation, Media Optimisation,

Classical designClassical designChanging one variable at timeChanging one variable at timeTotal no of experiments will be xTotal no of experiments will be xnn

x – no of levelx – no of level n - no of variables or factorsn - no of variables or factors For ex 3 levels and 6 variables For ex 3 levels and 6 variables have to be tested then the number have to be tested then the number of experiments will be 3of experiments will be 366=729=729

Statistical optimization techniqueStatistical optimization techniquePlackett Burman designPlackett Burman designResponse surface methodologyResponse surface methodology

Optimization through modellingOptimization through modelling

Page 38: Media Formulation, Media Optimisation,

Design of Experiments (DOE)oHelp you improve your processes. You

can screen the factors to determine

which are important for explaining

process variation.

oAfter you screen the factors, Minitab

/ Design expert software helps you

understand how those factors interact

and drive your process.

Page 39: Media Formulation, Media Optimisation,

Plackett Burman designPlackett Burman designMore than five variables it is usefulMore than five variables it is usefulIt will be useful in screening the It will be useful in screening the most important variablemost important variable

Here n no of experiments will be Here n no of experiments will be conducted for n-1 variablesconducted for n-1 variables

Where n is the multiples of 4 like Where n is the multiples of 4 like 8,12,16,20…1008,12,16,20…100

Authors give a series of experimental Authors give a series of experimental design known as balanced incomplete design known as balanced incomplete blocksblocks

Page 40: Media Formulation, Media Optimisation,

Variables which is not having Variables which is not having influence in the process is influence in the process is designated as dummy variablesdesignated as dummy variables

Dummy variables are required to Dummy variables are required to estimate the error in the estimate the error in the experimentationexperimentation

Minimum one or two dummy Minimum one or two dummy variables should be included in variables should be included in the experimental setthe experimental set

More can be included if the real More can be included if the real variables are lessvariables are less

Page 41: Media Formulation, Media Optimisation,

RowRow f1f1 f2f2 f3f3 f4f4 f5f5 f6f6 f7f7r1r1 ++ ++ ++ -- ++ -- --r2r2 -- ++ ++ ++ -- ++ --r3r3 -- -- ++ ++ ++ -- ++r4r4 ++ -- -- ++ ++ ++ --r5r5 -- ++ -- -- ++ ++ ++r6r6 ++ -- ++ -- -- ++ ++r7r7 ++ ++ -- ++ -- -- ++r8r8 -- -- -- -- -- -- --

Page 42: Media Formulation, Media Optimisation,

RowRow f1f1 f2f2 f3f3 f4f4 f5f5 f6f6 f7f7r1r1 ++ ++ ++ -- ++ -- --r2r2 -- ++ ++ ++ -- ++ --r3r3 -- -- ++ ++ ++ -- ++r4r4 ++ -- -- ++ ++ ++ --r5r5 -- ++ -- -- ++ ++ ++r6r6 ++ -- ++ -- -- ++ ++r7r7 ++ ++ -- ++ -- -- ++r8r8 -- -- -- -- -- -- --

Page 43: Media Formulation, Media Optimisation,

RowRow f1f1 f2f2 f3f3 f4f4 f5f5 f6f6 f7f7r1r1 ++ ++ ++ -- ++ -- --r2r2 -- ++ ++ ++ -- ++ --r3r3 -- -- ++ ++ ++ -- ++r4r4 ++ -- -- ++ ++ ++ --r5r5 -- ++ -- -- ++ ++ ++r6r6 ++ -- ++ -- -- ++ ++r7r7 ++ ++ -- ++ -- -- ++r8r8 -- -- -- -- -- -- --

Page 44: Media Formulation, Media Optimisation,

Row f1 f2 f3 f4 f5 f6 f7 Yr1 + + + - + - - 1.1r2 - + + + - + - 6.3r3 - - + + + - + 1.2r4 + - - + + + - 0.8r5 - + - - + + + 6.0r6 + - + - - + + 0.9r7 + + - + - - + 1.1r8 - - - - - - - 1.4H 3.9 14.5 9.5 9.4 9.1 14.0 9.2

L 14.9 4.3 9.3 9.4 9.7 4.8 9.6

H - L -11.0 10.2 0.2 0.0 -0.6 9.2 -0.4

Effect -2.75 2.55 0.05 0.00 -0.15 2.30 -0.10

Mean sq 15.12 13.01 0.005 0.000 0.045 10.58 0.020

Error mean sq 0.033 0.033 0.033 0.033 0.033 0.033 0.033

F test 465.4 400.2 3.255 0.000 - 325.6 -

Page 45: Media Formulation, Media Optimisation,

Fungal system experimented for Fungal system experimented for exopolysaccharide productionexopolysaccharide production

Variable High Low

f1:Corn steep liquor 1% 0.5%

f2:Sucrose 3% 1.5%

f3:K2HPO4 0.2% 0.1%

f4:MgSO4.5H20 1.0% 0.5%

f5:FeSO4.7H20 0.01% 0%

f6:KNO3 0.2% 0.1%

f7:Dummy Variable NaCl 0.2% 0.1%

Page 46: Media Formulation, Media Optimisation,

   f1f1 f2f2 f3f3 f4f4 f5f5 f6f6 f7f7 BiomassBiomass PolysacPolysac

11 ++ ++ ++ -- ++ -- -- 17.1517.15 2.2902.290

22 -- ++ ++ ++ -- ++ -- 15.3415.34 1.9681.968

33 -- -- ++ ++ ++ -- ++ 14.8914.89 1.0041.004

44 ++ -- -- ++ ++ ++ -- 15.0215.02 1.5571.557

55 -- ++ -- -- ++ ++ ++ 15.3215.32 1.7651.765

66 ++ -- ++ -- -- ++ ++ 14.3514.35 1.8721.872

77 ++ ++ -- ++ -- -- ++ 17.7017.70 2.5632.563

88 -- -- -- -- -- -- -- 12.8212.82 0.5560.556

Page 47: Media Formulation, Media Optimisation,

   f1f1 f2f2 f3f3 f4f4 f5f5 f6f6 f7f7 BiomassBiomass

11 ++ ++ ++ -- ++ -- -- 17.1517.15

22 -- ++ ++ ++ -- ++ -- 15.3415.34

33 -- -- ++ ++ ++ -- ++ 14.8914.89

44 ++ -- -- ++ ++ ++ -- 15.0215.02

55 -- ++ -- -- ++ ++ ++ 15.3215.32

66 ++ -- ++ -- -- ++ ++ 14.3514.35

77 ++ ++ -- ++ -- -- ++ 17.717.7

88 -- -- -- -- -- -- -- 12.8212.82

EHEH 64.2264.22 65.5165.51 61.7361.73 62.9562.95 62.3862.38 60.0360.03 62.2662.26   

ELEL 58.3758.37 57.0857.08 60.8660.86 59.6459.64 60.2160.21 62.5662.56 60.3360.33   

EH-ELEH-EL 5.855.85 8.438.43 0.870.87 3.313.31 2.172.17 -2.53-2.53 1.931.93   

EffectEffect 1.461.46 2.112.11 0.220.22 0.830.83 0.540.54 -0.63-0.63 0.480.48   

Mean squareMean square 4.284.28 8.888.88 0.090.09 1.371.37 0.590.59 0.800.80 0.470.47   

FtestFtest 9.189.18 19.0619.06 0.200.20 2.942.94 1.261.26 1.721.72 --   

Page 48: Media Formulation, Media Optimisation,

   f1f1 f2f2 f3f3 f4f4 f5f5 f6f6 f7f7 PolysacPolysac

11 ++ ++ ++ -- ++ -- -- 2.2902.290

22 -- ++ ++ ++ -- ++ -- 1.9481.948

33 -- -- ++ ++ ++ -- ++ 1.0041.004

44 ++ -- -- ++ ++ ++ -- 1.5571.557

55 -- ++ -- -- ++ ++ ++ 1.7651.765

66 ++ -- ++ -- -- ++ ++ 1.8721.872

77 ++ ++ -- ++ -- -- ++ 2.5632.563

88 -- -- -- -- -- -- -- 0.5560.556

EHEH 8.288.28 8.578.57 7.117.11 7.077.07 6.626.62 7.147.14 7.207.20   

ELEL 5.275.27 4.994.99 6.446.44 6.486.48 6.946.94 6.416.41 6.356.35   

EH-ELEH-EL 3.013.01 3.583.58 0.670.67 0.590.59 -0.32-0.32 0.730.73 0.850.85   

EffectEffect 0.750.75 0.890.89 0.170.17 0.150.15 -0.08-0.08 0.180.18 0.210.21   

Mean squareMean square 1.131.13 1.601.60 0.060.06 0.040.04 0.010.01 0.070.07 0.090.09   

FtestFtest 2.432.43 3.433.43 0.120.12 0.090.09 0.030.03 0.140.14 --   

Page 49: Media Formulation, Media Optimisation,

The first row for The first row for Plackett-BurmanPlackett-Burman designs. designs.

nn kk StringString

1111 1212 + + - + + + - - - + -+ + - + + + - - - + -

1515 1616 + + + + - + - + + - - + - - -+ + + + - + - + + - - + - - -

1919 2020 + + - - + + + + - + - + - - - - + + -+ + - - + + + + - + - + - - - - + + -

2323 2424 + + + + + - + - + + - - + + - - + - + - - - -+ + + + + - + - + + - - + + - - + - + - - - -

Page 50: Media Formulation, Media Optimisation,

Plackett-Burman Design in 12 Runs for up to 11 Factors Plackett-Burman Design in 12 Runs for up to 11 Factors

  Pattern X1 X2 X3 X4 X5 X6 X7 X8 X9 X10 X11 1 +++++++++++ +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 2 -+-+++---+- -1 +1 -1 +1 +1 +1 -1 -1 -1 +1 -1 3 --+-+++---+ -1 -1 +1 -1 +1 +1 +1 -1 -1 -1 +1 4 +--+-+++--- +1 -1 -1 +1 -1 +1 +1 +1 -1 -1 -1 5 -+--+-+++-- -1 +1 -1 -1 +1 -1 +1 +1 +1 -1 -1 6 --+--+-+++- -1 -1 +1 -1 -1 +1 -1 +1 +1 +1 -1 7 ---+--+-+++ -1 -1 -1 +1 -1 -1 +1 -1 +1 +1 +1 8 +---+--+-++ +1 -1 -1 -1 +1 -1 -1 +1 -1 +1 +1 9 ++---+--+-+ +1 +1 -1 -1 -1 +1 -1 -1 +1 -1 +1

10 +++---+--+- +1 +1 +1 -1 -1 -1 +1 -1 -1 +1 -1 11 -+++---+--+ -1 +1 +1 +1 -1 -1 -1 +1 -1 -1 +1 12 +-+++---+-- +1 -1 +1 +1 +1 -1 -1 -1 +1 -1 -1

Page 51: Media Formulation, Media Optimisation,

When to use PBWhen to use PBScreening multi components at 2 levelsScreening multi components at 2 levels It will give the range at which you have It will give the range at which you have

to optimize the experiments furtherto optimize the experiments further

Limitations:Limitations:

It will not give optimum concentration of It will not give optimum concentration of the variablethe variable

Page 52: Media Formulation, Media Optimisation,

Response Surface Response Surface MethodologyMethodology

Response surface methodology is a Response surface methodology is a method of optimization using statistical method of optimization using statistical techniques based upon the special techniques based upon the special factorial design of Box and Behnken etc.,factorial design of Box and Behnken etc.,

It is a scientific approach to determine the It is a scientific approach to determine the optimum conditions which combines the optimum conditions which combines the special experimental designs and Taylor special experimental designs and Taylor first order and second order equationfirst order and second order equation

Page 53: Media Formulation, Media Optimisation,

Sequential nature of RSMSequential nature of RSM

Page 54: Media Formulation, Media Optimisation,

How to ProceedHow to Proceed Select critical factors and regions to be Select critical factors and regions to be testedtested

Design the experiment based on box Design the experiment based on box behnken or central composite designbehnken or central composite design

Do the experimentDo the experiment Fit the data to Taylor series, determine Fit the data to Taylor series, determine coefficients to build modelcoefficients to build model

Validate model by selecting values in the Validate model by selecting values in the region testedregion tested

Draw the contour plot and find optimum Draw the contour plot and find optimum concentrationconcentration

Page 55: Media Formulation, Media Optimisation,

Design of experimentsDesign of experiments

Variable 1

Vari

able

2

Low High

High

Low

Page 56: Media Formulation, Media Optimisation,

Coding the variablesCoding the variablesValue of the variable - Middle pointValue of the variable - Middle point

Coding =Coding =Difference/2Difference/2

Glucose = 10 – 30 g/lGlucose = 10 – 30 g/lCoding 10 g/l glucose = [10-20]/(20/2) = -1Coding 10 g/l glucose = [10-20]/(20/2) = -1Coding 30 g/l = ?Coding 30 g/l = ?Coding 20 g/l ??Coding 20 g/l ??

Page 57: Media Formulation, Media Optimisation,

Taylor seriesTaylor series

Yield Y = Yield Y = ββ00 + + ββ1 1 XX1 1 + + ββ1111 X X1122

Constant term + Linear term + Quadratic termConstant term + Linear term + Quadratic term

Y= Y= ββ00 + + ββ1 1 XX1 1 + + ββ2 2 XX2 2 + + ββ1111 X X1122 + + ββ2222 X X22

22 + + ββ1212 X X1 1 XX22

= [2= [2nn]]1/41/4

For 2 variables For 2 variables value = 1.414 value = 1.414For 4 variables For 4 variables value = ?? value = ??

Page 58: Media Formulation, Media Optimisation,

Design of experimentsDesign of experiments

[0,0]

[-1,-1]

[+1,+1]

[+1,_1]

[-1,+1]

[-1.414,0] [+1.414,0]

[0,+1.414]

[0,-1.414,0]

Variable 1

Vari

able

2

Page 59: Media Formulation, Media Optimisation,

Design the experiments for Design the experiments for the following variable the following variable

concentrationsconcentrationsCorn steep Liquor = 0.5% to 1.5 %Sucrose = 1.5% to 4.5 %

Write the coding equation for both Corn Steep Liquor and Sucrose

For CSL = (Value-10)/5For Sucrose = (Value -30)/15

Page 60: Media Formulation, Media Optimisation,

Run No

CSL Sucrose

Coded Uncoded Coded Uncoded1 -1 5 -1 152 -1 5 +1 453 +1 15 -1 154 +1 15 +1 455 -1.414 2.93 0 306 +1.414 17.07 0 307 0 10 -1.414 8.798 0 10 +1.414 51.219 0 10 0 3010 0 10 0 3011 0 10 0 30

Page 61: Media Formulation, Media Optimisation,

run order Csl (g/l)

Sucrose (g/l) response

1 15 15 1.7482 10 30 2.5723 15 45 1.4644 17.07 30 1.6785 10 51.21 1.3266 10 8.79 1.6047 5 45 1.5338 10 30 2.5849 10 30 2.54310 10 30 2.56411 2.93 30 1.84612 5 15 1.08913 10 30 2.558

Page 62: Media Formulation, Media Optimisation,

• 13 equations will be obtained from 13 experiments.

• Resulting equations will be solved by least square method of matrix solving

• All the equations will be represented in the form of

Y = βXβ = (X’X)-1 (X’Y)

Page 63: Media Formulation, Media Optimisation,

  VARIABLE ESTIMATE ERROR       β0 Intercept 2.564219 0.070235β1 X1 0.044063 0.05553β2 X2 -0.029141 0.05553β11 X1*X1 -0.43992 0.059558β22 X2*X2 -0.588465 0.059558β12 X1*X2 -0.182 0.078526

Standard Error of Mean = 0.043558

R-SQUARED 0.9529

ADJ R-SQUARED 0.9193

C.V. 8.13%

Y = β0+β1* X1+β2* X2+β11* X12+β22* X2

2+β12* X1*X2

Y = 2.564 + 0.044 X1 - 0.029 X2 - 0.44 X12 - 0.589 X2

2 - 0.182 X1 X2

Page 64: Media Formulation, Media Optimisation,

http://www.itl.nist.gov/div898/handbook/index.htm

Page 65: Media Formulation, Media Optimisation,

• Using the actual values makes it easy to calculate the response from the coefficients since it is not necessary to go through coding process

• The reason for coding the variables is to eliminate the effect that the magnitude of the variable has on the regression coefficient

Page 66: Media Formulation, Media Optimisation,

• Prob>F is less than 0.05 indicated significant model terms

• The standard error of estimate yields information concerning the reliability of the values predicted by the regression equation. The greater the standard error of estimate, the less reliable the predicted value.

• Coefficient of variation less than 10 % indicate high degree of precision and reliability of experimental values

Page 67: Media Formulation, Media Optimisation,

• The mathematical model is reliable with R2 value. Closer the value to 1 is the more reliable the model.

• R2 value 0.9529 suggests that the model was unable to explain 4.71% variations occurred

• R2 Value can be increased by including model terms. Sometimes even higher value may result in poor predictions.

• Adj R2 value will be verified. If this value differs dramatically then insignificant model terms have been included in the model

Page 68: Media Formulation, Media Optimisation,

Ord VALUE VALUE RESIDUALRun ACTUAL PREDICTED  1 1.748 1.791037 -0.0430372 2.572 2.564219 0.0077813 1.464 1.368755 0.0952454 1.678 1.746948 -0.0689485 1.326 1.346438 -0.0204386 1.604 1.428849 0.1751517 1.533 1.644629 -0.1116298 2.584 2.564219 0.0197819 2.543 2.564219 -0.02121910 2.564 2.564219 -0.00021911 1.846 1.622339 0.22366112 1.089 1.338911 -0.24991113 2.558 2.564219 -0.006219

Page 69: Media Formulation, Media Optimisation,

Residuals Vs Run order

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0 2 4 6 8 10 12 14run order

residu

als

Page 70: Media Formulation, Media Optimisation,

CSL Vs Residual

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0 5 10 15 20CSL

Residu

al

Page 71: Media Formulation, Media Optimisation,

Sucrose Vs residuals

-0.3

-0.2

-0.1

0

0.1

0.2

0.3

0 10 20 30 40 50 60Sucrose

Residu

als

Page 72: Media Formulation, Media Optimisation,
Page 73: Media Formulation, Media Optimisation,
Page 74: Media Formulation, Media Optimisation,

Contour plotContour plot• A contour plot is a graphical technique for representing a 3-dimensional surface by plotting constant z slices, called contours, on a 2-dimensional format.

• That is, given a value for z, lines are drawn for connecting the (x,y) coordinates where that z value occurs.

Page 75: Media Formulation, Media Optimisation,
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Page 78: Media Formulation, Media Optimisation,

Stationary ridge

Page 79: Media Formulation, Media Optimisation,

RISING RIDGERISING RIDGE

Page 80: Media Formulation, Media Optimisation,
Page 81: Media Formulation, Media Optimisation,

Y = β0+β1* X1+β2* X2+β11* X12+β22* X22+β12* X1*X2

Y = β0 + X’ b + X’ B X

X= X1 b = β1 B = β11 β12/2X2 β2 β12/2 β22

∂y/∂x =0

Xs = -1/2 B-1b

Page 82: Media Formulation, Media Optimisation,

Application of response surface Application of response surface methodology to cell methodology to cell

immobilizationimmobilizationfor the production of palatinosefor the production of palatinose

Page 83: Media Formulation, Media Optimisation,

Design based on Alpha factor = 1

Page 84: Media Formulation, Media Optimisation,
Page 85: Media Formulation, Media Optimisation,
Page 86: Media Formulation, Media Optimisation,

• Optimum alginate concentration, cell loading and bead diameter were 5%, 15 g /l and 2.25 mm, respectively.

• R2 value of 0.9259

• A very low value of coefficient of the variation (C.V.) (4.46%)

Page 87: Media Formulation, Media Optimisation,

Residuals Vs run order

-6-4-20246

0 5 10 15 20Run order

Resid

uals

Page 88: Media Formulation, Media Optimisation,
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Page 90: Media Formulation, Media Optimisation,

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