# Model Mathematics

### Component: mass

$ddtimemass=mass⁢kg$

### Component: Cln2

$ddtimeCln2=ks_n2_+ks_n2__⁢SBF⁢mass-kd_n2⁢Cln2$

### Component: Clb5

$ddtimeClb5=ks_b5_+ks_b5__⁢MBF⁢mass+kd3_c1⁢C5P+kdi_b5⁢C5+kd3_f6⁢F5P+kdi_f5⁢F5-Vd_b5+kas_b5⁢Sic1+kas_f5⁢Cdc6⁢Clb5$

### Component: Clb2

$ddtimeClb2=ks_b2_+ks_b2__⁢Mcm1⁢mass+kd3_c1⁢C2P+kdi_b2⁢C2+kd3_f6⁢F2P+kdi_f2⁢F2-Vd_b2+kas_b2⁢Sic1+kas_f2⁢Cdc6⁢Clb2$

### Component: Sic1

$ddtimeSic1=ks_c1_+ks_c1__⁢Swi5+Vd_b2+kdi_b2⁢C2+Vd_b5+kdi_b5⁢C5+kpp_c1⁢Cdc14⁢Sic1P-kas_b2⁢Clb2+kas_b5⁢Clb5+Vkp_c1⁢Sic1$

### Component: Sic1P

$ddtimeSic1P=Vkp_c1⁢Sic1-kpp_c1⁢Cdc14+kd3_c1⁢Sic1P+Vd_b2⁢C2P+Vd_b5⁢C5P$

### Component: C2

$ddtimeC2=kas_b2⁢Clb2⁢Sic1+kpp_c1⁢Cdc14⁢C2P-kdi_b2+Vd_b2+Vkp_c1⁢C2$

### Component: C5

$ddtimeC5=kas_b5⁢Clb5⁢Sic1+kpp_c1⁢Cdc14⁢C5P-kdi_b5+Vd_b5+Vkp_c1⁢C5$

### Component: C2P

$ddtimeC2P=Vkp_c1⁢C2-kpp_c1⁢Cdc14+kd3_c1+Vd_b2⁢C2P$

### Component: C5P

$ddtimeC5P=Vkp_c1⁢C5-kpp_c1⁢Cdc14+kd3_c1+Vd_b5⁢C5P$

### Component: Cdc6

$ddtimeCdc6=ks_f6_+ks_f6__⁢Swi5+ks_f6___⁢SBF+Vd_b2+kdi_f2⁢F2+Vd_b5+kdi_f5⁢F5+kpp_f6⁢Cdc14⁢Cdc6P-kas_f2⁢Clb2+kas_f5⁢Clb5+Vkp_f6⁢Cdc6$

### Component: Cdc6P

$ddtimeCdc6P=Vkp_f6⁢Cdc6-kpp_f6⁢Cdc14+kd3_f6⁢Cdc6P+Vd_b2⁢F2P+Vd_b5⁢F5P$

### Component: F2

$ddtimeF2=kas_f2⁢Clb2⁢Cdc6+kpp_f6⁢Cdc14⁢F2P-kdi_f2+Vd_b2+Vkp_f6⁢F2$

### Component: Pds1

$ddtimePds1=ks_pds_+ks1_pds__⁢SBF+ks2_pds__⁢Mcm1+kdi_esp⁢PE-Vd_pds+kas_esp⁢Esp1⁢Pds1$

### Component: Esp1

$ddtimeEsp1=-kas_esp⁢Pds1⁢Esp1+kdi_esp+Vd_pds⁢PE$

### Component: ORI

$ddtimeORI=ks_ori⁢epsilon_ori_b5⁢Clb5+epsilon_ori_b2⁢Clb2-kd_ori⁢ORI$

### Component: BUD

$ddtimeBUD=ks_bud⁢epsilon_bud_n2⁢Cln2+epsilon_bud_n3⁢Cln3+epsilon_bud_b5⁢Clb5-kd_bud⁢BUD$

### Component: SPN

$ddtimeSPN=ks_spn⁢Clb2Jspn+Clb2-kd_spn⁢SPN$

### Component: G_sbf

$G_sbf=2⁢Ji_sbf⁢Va_sbfVi_sbf+Ja_sbf⁢Vi_sbf+Ji_sbf⁢Va_sbf+Vi_sbf+Ja_sbf⁢Vi_sbf+Ji_sbf⁢Va_sbf-Va_sbf2-4⁢Vi_sbf-Va_sbf⁢Ji_sbf⁢Va_sbf-Va_sbf$

### Component: G_mcm

$G_mcm=2⁢Ji_mcm⁢ka_mcm⁢Clb2ki_mcm+Ja_mcm⁢ki_mcm+Ji_mcm⁢ka_mcm⁢Clb2+ki_mcm+Ja_mcm⁢ki_mcm+Ji_mcm⁢ka_mcm⁢Clb2-ka_mcm⁢Clb22-4⁢ki_mcm-ka_mcm⁢Clb2⁢Ji_mcm⁢ka_mcm⁢Clb2-ka_mcm⁢Clb2$

### Component: SBF_MBF

$SBF=MBFMBF=G_sbf$

### Component: Mcm1

$Mcm1=G_mcm$

### Component: Cln3

$Cln3=C0⁢Dn3⁢massJn3+Dn3⁢mass$

### Component: Bck2

$Bck2=B0⁢mass$

### Component: Clb5_T

$Clb5_T=Clb5+C5+C5P+F5+F5P$

### Component: Clb2_T

$Clb2_T=Clb2+C2+C2P+F2+F2P$

### Component: Sic1_T

$Sic1_T=Sic1+Sic1P+C2+C2P+C5+C5P$

### Component: F5

$ddtimeF5=kas_f5⁢Clb5⁢Cdc6+kpp_f6⁢Cdc14⁢F5P-kdi_f5+Vd_b5+Vkp_f6⁢F5$

### Component: F2P

$ddtimeF2P=Vkp_f6⁢F2-kpp_f6⁢Cdc14+kd3_f6+Vd_b2⁢F2P$

### Component: F5P

$ddtimeF5P=Vkp_f6⁢F5-kpp_f6⁢Cdc14+kd3_f6+Vd_b5⁢F5P$

### Component: Swi5_T

$ddtimeSwi5_T=ks_swi_+ks_swi__⁢Mcm1-kd_swi⁢Swi5_T$

### Component: Swi5

$ddtimeSwi5=ks_swi_+ks_swi__⁢Mcm1+ka_swi⁢Cdc14⁢Swi5_T-Swi5-kd_swi+ki_swi⁢Clb2⁢Swi5$

### Component: APC_P

$ddtimeAPC_P=ka_apc⁢Clb2⁢1-APC_PJa_apc+1-APC_P-ki_apc⁢APC_PJi_apc+APC_P$

### Component: Cdc20_T

$ddtimeCdc20_T=ks_20_+ks_20__⁢Mcm1-kd_20⁢Cdc20_T$

### Component: Cdc20_A

$ddtimeCdc20_A=ka_20_+ka_20__⁢APC_P⁢Cdc20_T-Cdc20_A-kmad2+kd_20⁢Cdc20_A$

### Component: Cdh1_T

$ddtimeCdh1_T=ks_cdh-kd_cdh⁢Cdh1_T$

### Component: Cdh1

$ddtimeCdh1=ks_cdh+Va_cdh⁢Cdh1_T-Cdh1Ja_cdh+Cdh1_T-Cdh1-kd_cdh⁢Cdh1+Vi_cdh⁢Cdh1Ji_cdh+Cdh1$

### Component: Tem1

$ddtimeTem1=klte1⁢Tem1_T-Tem1Ja_tem+Tem1_T-Tem1-kbub2⁢Tem1Ji_tem+Tem1$

### Component: Cdc15

$ddtimeCdc15=ka_15_⁢Tem1_T-Tem1+ka_15__⁢Tem1+ka_15___⁢Cdc14⁢Cdc15_T-Cdc15-ki_15⁢Cdc15$

### Component: Cdc14_T

$ddtimeCdc14_T=ks_14-kd_14⁢Cdc14_T$

### Component: Cdc14

$ddtimeCdc14=ks_14+kd_net⁢RENT+RENTP+kdi_rent⁢RENT+kdi_rentp⁢RENTP-kd_14⁢Cdc14+kas_rent⁢Net1+kas_rentp⁢Net1P⁢Cdc14$

### Component: Net1_T

$ddtimeNet1_T=ks_net-kd_net⁢Net1_T$

### Component: Cdc6_T

$Cdc6_T=Cdc6+Cdc6P+F2+F2P+F5+F5P$

### Component: CKI_T

$CKI_T=Sic1_T+Cdc6_T$

### Component: RENTP

$RENTP=Cdc14_T-RENT+Cdc14$

### Component: Net1P

$Net1P=Net1_T+Cdc14-Net1+Cdc14_T$

### Component: PE

$PE=Esp1_T-Esp1$

### Component: Vd_b5

$Vd_b5=kd_b5_+kd_b5__⁢Cdc20_A$

### Component: Vd_b2

$Vd_b2=kd_b2_+kd_b2__⁢Cdh1+kd_b2p⁢Cdc20_A$

### Component: Va_sbf

$Va_sbf=ka_sbf⁢epsilon_sbf_n2⁢Cln2+epsilon_sbf_n3⁢Cln3+Bck2+epsilon_sbf_b5⁢Clb5$

### Component: Vi_sbf

$Vi_sbf=ki_sbf_+ki_sbf__⁢Clb2$

### Component: Vkp_c1

$Vkp_c1=kd1_c1+kd2_c1⁢epsilon_c1_n3⁢Cln3+epsilon_c1_k2⁢Bck2+epsilon_c1_n2⁢Cln2+epsilon_c1_b5⁢Clb5+epsilon_c1_b2⁢Clb2Jd2_c1+Sic1_T$

### Component: Vkp_f6

$Vkp_f6=kd1_f6+kd2_f6⁢epsilon_f6_n3⁢Cln3+epsilon_f6_k2⁢Bck2+epsilon_f6_n2⁢Cln2+epsilon_f6_b5⁢Clb5+epsilon_f6_b2⁢Clb2Jd2_f6+Cdc6_T$

### Component: Va_cdh

$Va_cdh=ka_cdh_+ka_cdh__⁢Cdc14$

### Component: Vi_cdh

$Vi_cdh=ki_cdh_+ki_cdh__⁢epsilon_cdh_n3⁢Cln3+epsilon_cdh_n2⁢Cln2+epsilon_cdh_b5⁢Clb5+epsilon_cdh_b2⁢Clb2$

### Component: Vpp_net

$Vpp_net=kpp_net_+kpp_net__⁢PPX$

### Component: Vkp_net

$Vkp_net=kkp_net_+kkp_net__⁢Cdc15⁢mass$

### Component: Net1

$ddtimeNet1=ks_net+kd_14⁢RENT+kdi_rent⁢RENT+Vpp_net⁢Net1P-kd_net⁢Net1+kas_rent⁢Cdc14⁢Net1+Vkp_net⁢Net1$

### Component: RENT

$ddtimeRENT=kas_rent⁢Cdc14⁢Net1+Vpp_net⁢RENTP-kd_14+kd_net⁢RENT+kdi_rent⁢RENT+Vkp_net⁢RENT$

### Component: PPX

$ddtimePPX=ks_ppx-Vd_ppx⁢PPX$

### Component: Vd_ppx

$Vd_ppx=kd_ppx_+kd_ppx__⁢J20_ppx+Cdc20_A⁢JpdsJpds+Pds1$

### Component: Vd_pds

$Vd_pds=kd1_pds_+kd2_pds__⁢Cdc20_A+kd3_pds__⁢Cdh1$

### Component: model_parameters

$kmad2=8ifORI>1∧SPN<10.01otherwisekbub2=1ifORI>1∧SPN<10.2otherwiseklte1=1ifSPN>1∧Clb2>Kez0.1otherwise$
Source
Derived from workspace Chen, Calzone, Csikasznagy, Cross, Novak, Tyson, 2004 at changeset edb741dbe5d9.
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