# Model Mathematics

### Component: ATP

$ddtimeATP=J_ATP-V_hyd+V_MMCKV_cyt$

### Component: ADP

$ddtimeADP=J_ADP+V_hyd+V_MMCKV_cyt$

### Component: PCr

$ddtimePCr=J_PCr+V_MMCKV_cyt$

### Component: Cr

$ddtimeCr=J_Cr-V_MMCKV_cyt$

### Component: Pi

$ddtimePi=J_Pi+V_hydV_cyt$

### Component: ATP_i

$ddtimeATP_i=-J_ATP+V_syn+V_MiCKV_ims$

### Component: ADP_i

$ddtimeADP_i=V_syn+V_MiCK-J_ADPV_ims$

### Component: PCr_i

$ddtimePCr_i=V_MiCK-J_PCrV_ims$

### Component: Cr_i

$ddtimeCr_i=-V_MiCK+J_CrV_ims$

### Component: Pi_i

$ddtimePi_i=V_syn-J_PiV_ims$

### Component: V_MMCK

$V_MMCK = Vf ⁢ ATP ⁢ Cr Kia ⁢ Kb - Vb ⁢ ADP ⁢ PCr Kic ⁢ Kd Den_MMCK Den_MMCK = 1.0 + Cr Kib + PCr Kid + ATP ⁢ 1.0 Kia + Cr Kia ⁢ Kb + ADP ⁢ 1.0 Kic + PCr Kid ⁢ Kc + Cr Kic ⁢ KIb Kc = Kic ⁢ Kd Kid KIb = Kib$

### Component: V_MiCK

$V_MiCK = Vf ⁢ ATP_i ⁢ Cr_i Kia ⁢ Kb - Vb ⁢ ADP_i ⁢ PCr_i Kic ⁢ Kd Den_MiCK Den_MiCK = 1.0 + Cr_i Kib + PCr_i Kid + ATP_i ⁢ 1.0 Kia + Cr_i Kia ⁢ Kb + ADP_i ⁢ 1.0 Kic + PCr_i Kid ⁢ Kc + Cr_i Kic ⁢ KIb Kc = Kic ⁢ Kd Kid KIb = Kib$

### Component: V_syn

$V_syn = V_syn_max ⁢ ADP_i ⁢ Pi_i KPi ⁢ KADP ⁢ Den_syn Den_syn = 1.0 + ADP_i KADP + Pi_i KPi + ADP_i ⁢ Pi_i KADP ⁢ KPi$

### Component: J_ATP

$J_ATP = R_ATP ⁢ ATP_i - ATP$

### Component: J_ADP

$J_ADP = R_ADP ⁢ ADP_i - ADP$

### Component: J_PCr

$J_PCr = R_PCr ⁢ PCr_i - PCr$

### Component: J_Cr

$J_Cr = R_Cr ⁢ Cr_i - Cr$

### Component: J_Pi

$J_Pi = R_Pi ⁢ Pi_i - Pi$

### Component: fractional_volumes

Source
Derived from workspace Kongas, Vanbeek, 2001 at changeset c74eebdbd4a8.
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This work is licensed under a Creative Commons Attribution 3.0 Unported License.