Fitting Michaelis-Menten directly to substrate concentration data
Fitting Michaelis-Menten directly to substrate concentration data
Fitting Michaelis-Menten directly to substrate concentration data
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Transforming (S, t) <strong>to</strong> (v, S ∗ ) <strong>data</strong>:Allows us <strong>to</strong> fit MM <strong>directly</strong>, but ...◮ Heteroscedasticity, due <strong>to</strong> unequal δ i .◮ Correlated errors, MA(1), induced by differencing:V i = − S i+1 − S iδ i, ⇒ Cov(V i , V i+1 ) = − σ2δ i δ i+1◮ Errors in variables:Var(S ∗ ) = σ22