Fitting Michaelis-Menten directly to substrate concentration data

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OutlineEnzyme KineticsMichaelis−Menten equationTraditional parameter estimation methodsMore direct estimation strategiesDirect fit to rate dataNumerical solutionsSemi-parametricA GenStat procedure, MICHAELIS
Enzymes‘Little’ molecular machines that catalize biochemical reactions
Page 1 and 2: Fitting Michaelis-Menten directly t
Page 3 and 4: OutlineEnzyme KineticsMichaelis−M
Page 5: OutlineEnzyme KineticsMichaelis−M
Page 9 and 10: An enzyme reactionk 1S + E 0 ⇋ E
Page 11 and 12: An enzyme reactionk 1S + E 0 ⇋ E
Page 13 and 14: Enzyme kineticsScientists wish to
Page 15 and 16: Enzyme kineticsScientists wish to
Page 17 and 18: Reaction rates . . .k 1S + E 0 ⇋
Page 19 and 20: k 1S + E 0 ⇋ E 1k−→2E0 + Pk
Page 21 and 22: k 1S + E 0 ⇋ E 1k−→2E0 + Pk
Page 23 and 24: Reaction rates . . .dSdt= −k 1 SE
Page 25 and 26: ... which give...dSdt= (k 2E T S( )
Page 27 and 28: ... which give...dSdt= (k 2E T S( )
Page 29 and 30: The Michaelis-Menten equation.v = V
Page 31 and 32: How good is the steady-state approx
Page 33 and 34: Traditional estimation of V maxand
Page 39 and 40: Fit directly to concentration data,
Page 41 and 42: Fit directly to concentration data,
Page 43 and 44: Solution to S(t){ ( )}S0 S0 − V m
Page 45 and 46: Estimation strategies using (S, t)
Page 47 and 48: Estimation strategies using (S, t)
Page 49 and 50: Transform (S, t) to (v, S ∗ )?v i
Page 51 and 52: Note that{ }Si+1 − S iVar(V i ) =
Page 53 and 54: Fitting v = V maxS ∗K m +S ∗ ,
Page 55 and 56: Transforming (S, t) to (v, S ∗ )
Page 57 and 58:
Direct fit to (S, t) data: S(t) num
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Euler’s solution to S(t)Simple to
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Analytic numeric solution for S(t)?
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Analytic numeric solution for S(t)?
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"Fit Michealis-Menten (following Go
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Semi-parametric method?Represent S(
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Semi-parametric method?Represent S(
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Semi-parametric methodFit spline to
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4. OptionsPRINT = stringPLOT = stri
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MICHAELIS CONC=S; TIME=ElapsDays357
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MICHAELIS CONC=S; TIME=ElapsDaysRGR
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MICHAELIS CONC=S; TIME=ElapsDaysRGR
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Fix K 1 = 0 (original Michaelis-Men
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Fitting Michaelis-Menten directly to substrate concentration data

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