Model Mathematics

Component: environment

Component: p

dd tau p = v1 - v2 + v7

Component: a

dd tau a = v2 - v3 epsilon1

Component: c

dd tau c = v3 - v4 epsilon2

Component: k

dd tau k = v4 + v6 - v5 epsilon3

Component: o

dd tau o = v5 + v7 - v3 + v8 + v6 epsilon4

Component: n

dd tau n = vresp - v2 + v4 + 2.0 v5 epsilon5

Component: en

dd tau en = vATP + v5 - vANT + v7 epsilon6

Component: s

dd tau s = 10 vresp - 3 vATP + vleak + vANT epsilon7

Component: v1

v1 = 1

Component: v2

v2 = beta2 p n

Component: v3

v3 = beta3 o a

Component: v4

v4 = beta4 c n

Component: v5

v5 = beta5 k n 1 - en

Component: v6

v6 = beta6 o - delta_6 k

Component: v7

v7 = beta7 p en

Component: v8

v8 = beta8 o

Component: vANT

vANT = beta_ANT en

Component: vleak

vleak = beta_leak s

Component: vresp

vresp = beta_resp 1 - n delta_r1 + 1 - n 1 1 + delta_r2 s - 1

Component: vATP

vATP = beta_ATP 2 1 + delta_atp en - en_crit s - 1

Component: en_crit

en_crit = Kapp_dash Kapp_dash + -1 delta_crit s

Component: normalised_constants

beta2 = k2 k1 Nt Pyr_bar beta3 = k3 k1 OAA_bar AcCoA_bar beta4 = k4 k1 Nt Cit_bar beta5 = k5 k1 Nt At KG_bar beta6 = k6 k1 OAA_bar beta7 = k7 k1 At Pyr_bar beta8 = k8 k1 OAA_bar beta_ANT = kANT k1 At beta_leak = kleak k1 delta_psi_m beta_resp = kresp k1 beta_ATP = kATP k1 delta_6 = KG_bar OAA_bar Keq delta_r1 = K Nt delta_r2 = alpha delta_psi_m delta_atp = b At delta_crit = 3 1.2 F delta_psi_m R T Kapp_dash = Kapp Pi epsilon1 = AcCoA_bar Pyr_bar epsilon2 = Cit_bar Pyr_bar epsilon3 = KG_bar Pyr_bar epsilon4 = OAA_bar Pyr_bar epsilon5 = Nt Pyr_bar epsilon6 = At Pyr_bar epsilon7 = delta_psi_m Pyr_bar C tau = k1 Pyr_bar time