The combined effects of reactant kinetics and enzyme stability explain the temperature dependence of metabolic rates

. 2017 Apr 23;7(11):3940–3950. doi: 10.1002/ece3.2955

Model #

Model/source

Model

Assumptions

Johnson‐Lewin (Johnson & Lewin, 1946)

V = \frac{c T e^{Δ H_{A} / R T}}{1 + e^{Δ S / R} e^{Δ H_{A} / R T}}

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Sharpe‐DeMichele (Sharpe & DeMichele, 1977)

V = \frac{\frac{k T}{h} e^{(Δ S_{A} - Δ H_{A} / T) / R}}{1 + e^{(Δ S_{L} - Δ H_{L} / T) / R} + e^{(Δ S_{H} - Δ H_{L} / T) / R}}

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Schoolfield (Schoolfield et al., 1981)

V = \frac{ρ_{(25^{\circ} C)} \frac{T}{298} e^{[\frac{Δ H_{A}}{R} (\frac{1}{298} - \frac{1}{T})]}}{1 + e^{[\frac{Δ H_{L}}{R} (\frac{1}{T_{1 / 2 L}} - \frac{1}{T})]} + e^{[\frac{Δ H_{H}}{R} (\frac{1}{T_{1 / 2 H}} - \frac{1}{T})]}}

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Ratkowsky (Ratkowsky et al., 2005)

V = \frac{c T e^{(Δ H_{A} / R T)}}{1 + e^{(- n [Δ H - T Δ S + Δ C_{p}[(T - T_{m}) - T ln (T / T_{m})])] / R T)}}

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Equilibrium model (Daniel & Danson, 2010)

V = \frac{k T}{h} \frac{e^{- (Δ G_{c a t} / R T)} E_{0} e^{[\frac{k T e^{- (Δ G_{i n a c t} / R T)} e^{(Δ H_{e q} (\frac{1}{T_{e q}} - \frac{1}{T}) / R)} t}{1 + e^{(Δ H_{e q} (\frac{1}{T_{e q}} - \frac{1}{T}) / R)}}]}}{1 + e^{(Δ H_{e q} (\frac{1}{T_{e q}} - \frac{1}{T}) / R)}}

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Macromolecular rates (Hobbs et al., 2013)

V = \frac{k T}{h} e^{\frac{- (Δ H - T Δ S + Δ C_{p} (T - T_{m} - T ln \frac{T}{T_{m}}))}{R T}}

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Enzyme‐assisted Arrhenius (This study)

V = A_{0} e^{\frac{- (E_{b} - (E_{Δ H} (1 - \frac{T}{T_{m}}) + E_{Δ C p} (T - T_{m} - T ln \frac{T}{T_{m}})))}{k T}}

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