You are here: Home / Exposures / Nazaret, Heiske, Thurley and Mazat, 2009 / Mitochondrial energetic metabolism: a simplified model of TCA cycle with ATP production (unscaled version)

Model Mathematics

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Component: environment

Component: Pyr

\frac{d}{d time} (Pyr) = v1 - (v2 + v7)

Component: AcCoA

\frac{d}{d time} (AcCoA) = v2 - v3

Component: Cit

\frac{d}{d time} (Cit) = v3 - v4

Component: KG

\frac{d}{d time} (KG) = v4 + v6 - v5

Component: OAA

\frac{d}{d time} (OAA) = v5 + v7 - (v3 + v8 + v6)

Component: NAD

\frac{d}{d time} (NAD) = vresp - (v2 + v4 + 2.0 v5)

Component: ATP

\frac{d}{d time} (ATP) = vATP + v5 - (vANT + v7)

Component: delta_psi

\frac{d}{d time} (delta_psi) = \frac{1}{C} (10 vresp - (3 vATP + vleak + vANT))

Component: v1

v1 = k1

Component: v2

v2 = k2 Pyr NAD

Component: v3

v3 = k3 OAA AcCoA

Component: v4

v4 = k4 Cit NAD

Component: v5

v5 = k5 KG NAD (At - ATP)

Component: v6

v6 = k6 (OAA - KG)

Component: v7

v7 = k7 Pyr ATP

Component: v8

v8 = k8 OAA

Component: vANT

vANT = kANT ATP

Component: vleak

vleak = kleak delta_psi

Component: vresp

vresp = kresp \frac{Nt - NAD}{K + Nt - NAD} \frac{1}{1 + ⅇ^{a (delta_psi - delta_psi_m)}}

Component: vATP

vATP = kATP (\frac{2}{1 + ⅇ^{b (ATP - ATP_crit_delta_psi)}} - 1)

Component: ATP_crit_delta_psi

ATP_crit_delta_psi = \frac{At}{1 + \frac{ⅇ^{\frac{(-3) delta_G_transport}{R T}}}{Kapp Pi}}

delta_G_transport = 0.0012 F delta_psi

Component: model_parameters

Source: Derived from workspace Nazaret, Heiske, Thurley and Mazat, 2009 at changeset 6a7504ae789b.

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