Model Mathematics

Component: environment

Component: F6P

ddtime F6P = V_hk - V_pfk - V_pfk2

Component: F26P

ddtime F26P = V_pfk2

Component: GAP

ddtime GAP = 2.0 V_pfk- V_pk

Component: PYR

ddtimePYR=V_pk-V_op+V_ldh

Component: LAC

ddtimeLAC=2.25V_ldh+V_lac

Component: ATP

ddtime ATP = 2.0 V_pk + 15.0 V_op + V_ck - V_hk + V_pfk + V_pfk2 + V_ATPase 1 - dAMP_dATP -1

Component: PCr

ddtime PCr =- V_ck

Component: V_hk

V_hk = Vmax_hk ATP ATP + Km_ATP_hk 1 + F6P KI_F6P 4 -1

Component: V_pfk

V_pfk = Vmax_pfk F6P F6P + Km_F6P_pfk ATP ATP + Km_ATP_pfk F26P F26P + Km_F26P_pfk ATP_inh AMP_act

Component: V_pfk2

V_pfk2=Vmaxf_pfk2ATPATP+Km_ATP_pfk2F6PF6P+Km_F6P_pfk2AMP_pfk2-Vmaxr_pfk2F26PF26P+Km_F26P_pfk2

Component: V_pk

V_pk=Vmax_pkGAPGAP+Km_GAP_pkADPADP+Km_ADP_pkATP_inh

Component: V_op

V_op=Vmax_opPYRPYR+Km_PYR_opADPADP+Km_ADP_op11+0.1ATPADP

Component: V_ldh

V_ldh = kf_ldh PYR - kr_ldh LAC

Component: V_ck

V_ck = kf_ck PCr ADP - kr_ck Cr ATP

Component: Cr

Cr = PCrtot - PCr

Component: V_ATPase

V_ATPase = Vmax_ATPase ATP ATP + Km_ATP 1 + v_stim

Component: V_lac

V_lac = Vlac_0 1 + v_stim K_LAC - K_LAC_eff LAC

Component: ADP

ADP = ATP 2 - Q_adk + u u = Q_adk 2 + 4 Q_adk ANP ATP - 1

Component: dAMP_dATP

dAMP_dATP =- 1 + Q_adk 2 +- 0.5 u + Q_adk ANP ATP u

Component: AMP

AMP = ANP - ATP + ADP

Component: ATP_inh

ATP_inh=1+nATPATPKI_ATP1+ATPKI_ATP4

Component: AMP_act

AMP_act=1+AMPKa_AMP1+nAMPAMPKa_AMP4

Component: v_stim

v_stim=stimv1_n+v2_ntime-tot_n_stim-time-tounitpulseSBt_n_stimunitpulseSB unitpulseSB = 1 if time to time to + tend 0 otherwise

Component: model_parameters

Component: AMP_pfk2

AMP_pfk2=AMPKamp_pfk2nh_amp1+AMPKamp_pfk2nh_amp