# Model Mathematics

### Component: MPF_n

$ddtimeMPF_n=k_in⁢MPF_c-k_out⁢MPF_n-k_dn_+k_dn__⁢FZY⁢MPF_n-k_wee_+k_wee__⁢Wee1_n⁢MPF_n+k_stg_+k_stg__⁢StgP_n⁢preMPF_n$

### Component: preMPF_n

$ddtimepreMPF_n=k_in⁢preMPF_c-k_out⁢preMPF_n-k_dn_+k_dn__⁢FZY⁢preMPF_n+k_wee_+k_wee__⁢Wee1_n⁢MPF_n-k_stg_+k_stg__⁢StgP_n⁢preMPF_n$

### Component: MPF_c

$ddtimeMPF_c=k_sc-epsilon⁢N⁢k_in⁢MPF_c-k_out⁢MPF_n1-N⁢epsilon-k_dc_⁢MPF_c+k_stg_+k_stg__⁢StgP_c⁢preMPF_c-k_wee_+k_wee__⁢Wee1_c⁢MPF_c$

### Component: preMPF_c

$ddtimepreMPF_c=-epsilon⁢N⁢k_in⁢preMPF_c-k_out⁢preMPF_n1-N⁢epsilon-k_dc_⁢preMPF_c-k_stg_+k_stg__⁢StgP_c⁢preMPF_c+k_wee_+k_wee__⁢Wee1_c⁢MPF_c$

### Component: IE

$ddtimeIE=k_aie⁢1-IE⁢MPF_nj_aie+1-IE-k_iie⁢IEj_iie+IE$

### Component: FZY

$ddtimeFZY=k_afz⁢IE⁢1-FZYj_afz+1-FZY-k_ifz⁢FZYj_ifz+FZY$

### Component: Stg_m

$ddtimeStg_m=-k_dm_j_m+Stg_m+k_dm__⁢Xp⁢Stg_m$

### Component: Xm

$ddtimeXm=k_sxm⁢N$

### Component: Xp

$ddtimeXp=k_sxp⁢Xm$

### Component: StgP_n

$ddtimeStgP_n=k_ins⁢StgP_c-k_outs⁢StgP_n+k_astg_+k_astg__⁢MPF_n⁢Stg_nj_astg+Stg_n-k_istg⁢StgP_nj_istg+StgP_n-k_dstg⁢StgP_n$

### Component: Stg_n

$ddtimeStg_n=k_ins⁢Stg_c-k_outs⁢Stg_n-k_astg_+k_astg__⁢MPF_n⁢Stg_nj_astg+Stg_n+k_istg⁢StgP_nj_istg+StgP_n-k_dstg⁢Stg_n$

### Component: StgP_c

$ddtimeStgP_c=-k_dstg⁢StgP_c-epsilon⁢N⁢k_ins⁢StgP_c-k_outs⁢StgP_n1-N⁢epsilon+k_astg_+k_astg__⁢MPF_c⁢Stg_cj_astg+Stg_c-k_istg⁢StgP_cj_istg+StgP_c$

### Component: Stg_c

$ddtimeStg_c=k_sstg⁢Stg_m-k_dstg⁢Stg_c-epsilon⁢N⁢k_ins⁢Stg_c-k_outs⁢Stg_n1-N⁢epsilon-k_astg_+k_astg__⁢MPF_c⁢Stg_cj_astg+Stg_c+k_istg⁢StgP_cj_istg+StgP_c$

### Component: Wee1_n

$ddtimeWee1_n=k_inw⁢Wee1_c-k_outw⁢Wee1_n+k_awee⁢Wee1P_nj_awee+Wee1P_n-k_iwee_+k_iwee__⁢MPF_n⁢Wee1_nj_iwee+Wee1_n$

### Component: Wee1_c

$ddtimeWee1_c=-k_inw⁢Wee1_c-k_outw⁢Wee1_n⁢N⁢epsilon1-N⁢epsilon+k_awee⁢Wee1P_cj_awee+Wee1P_c-k_iwee_+k_iwee__⁢MPF_c⁢Wee1_cj_iwee+Wee1_c$

### Component: Wee1P_n

$ddtimeWee1P_n=k_inw⁢Wee1P_c-k_outw⁢Wee1P_n-k_awee⁢Wee1P_nj_awee+Wee1P_n+k_iwee_+k_iwee__⁢MPF_n⁢Wee1_nj_iwee+Wee1_n$

### Component: Wee1P_c

$Wee1P_c=Wee1_T-N⁢epsilon⁢Wee1_n+Wee1P_n1-N⁢epsilon-Wee1_c$

### Component: N

$ddtimeN=0$

### Component: CycB_T

$CycB_T=1-N⁢epsilon⁢MPF_c+preMPF_c+N⁢epsilon⁢MPF_n+preMPF_n$

### Component: Stg_T

$Stg_T=1-N⁢epsilon⁢Stg_c+StgP_c+N⁢epsilon⁢Stg_n+StgP_n$

### Component: StgP_T

$StgP_T=1-N⁢epsilon⁢StgP_c+N⁢epsilon⁢StgP_n$

### Component: parameters

Source
Derived from workspace Calzone, Thieffry, Tyson, Novak, 2007 at changeset e6e9d2607d3f.
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