Model Mathematics

Component: environment

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