# Model Mathematics

### Component: rate_constants

$kplus_z=bz+cz⁢cyclin_CDK_activekminus_z=azkplus_w=bw+cw⁢cyclin_CDK_activekminus_w=awkplus_i=bi+ci⁢cyclin_CDK_activekminus_i=ai$

### Component: cyclin

$ddtimecyclin=k1+k4⁢cyclin_CDK_inactive-k3⁢cyclin⁢CDK-k2+k2u⁢APC⁢cyclin$

### Component: cyclin_CDK_inactive

$ddtimecyclin_CDK_inactive=k3⁢cyclin⁢CDK+k6⁢cyclin_CDK_active+wee1⁢cyclin_CDK_active⁢1-k4⁢cyclin_CDK_inactive-k5⁢cyclin_CDK_inactive-Cdc25_2P⁢cyclin_CDK_inactive⁢1$

### Component: cyclin_CDK_active

$ddtimecyclin_CDK_active=k5⁢cyclin_CDK_inactive+Cdc25_2P⁢cyclin_CDK_inactive⁢1-k6⁢cyclin_CDK_active-wee1⁢cyclin_CDK_active⁢1-k7+k7u⁢APC⁢cyclin_CDK_active-k14⁢cyclin_CDK_active⁢CKI+k15⁢cyclin_CDK_CKI+k16+k16u⁢APC⁢cyclin_CDK_CKI_P$

### Component: Cdc25

$ddtimeCdc25=k8+kminus_z⁢Cdc25_P-kplus_z⁢Cdc25-k9⁢Cdc25$

### Component: Cdc25_P

$ddtimeCdc25_P=kplus_z⁢Cdc25-Cdc25_P+kminus_z⁢Cdc25_2P-Cdc25_P-k9⁢Cdc25_P$

### Component: Cdc25_2P

$ddtimeCdc25_2P=kplus_z⁢Cdc25_P-kminus_z⁢Cdc25_2P-k9⁢Cdc25_2P$

### Component: wee1

$ddtimewee1=k10+kminus_w⁢wee1_P-kplus_w⁢wee1-k11⁢wee1$

### Component: wee1_P

$ddtimewee1_P=kplus_w⁢wee1-kminus_w⁢wee1_P-k11⁢wee1_P$

### Component: APC

$h_x=cyclin_CDK_active2a2+cyclin_CDK_active2ddtimeAPC=h_x-APCtau$

### Component: CKI

$ddtimeCKI=k12-k13⁢CKI-k14⁢cyclin_CDK_active⁢CKI+k15⁢cyclin_CDK_CKI$

### Component: cyclin_CDK_CKI

$ddtimecyclin_CDK_CKI=k14⁢cyclin_CDK_active⁢CKI-k15⁢cyclin_CDK_CKI+kminus_i⁢cyclin_CDK_CKI_P-kplus_i⁢cyclin_CDK_CKI$

### Component: cyclin_CDK_CKI_P

$ddtimecyclin_CDK_CKI_P=kplus_i⁢cyclin_CDK_CKI-kminus_i⁢cyclin_CDK_CKI_P-k16+k16u⁢APC⁢cyclin_CDK_CKI_P$

### Component: CDK

$CDK=CDK_T-cyclin_CDK_active-cyclin_CDK_inactive-cyclin_CDK_CKI-cyclin_CDK_CKI_PCDK_T$

### Component: cyclin_T

$cyclin_T=cyclin+cyclin_CDK_active+cyclin_CDK_inactive$
Source
Derived from workspace Qu, Maclellan, Weiss, 2003 at changeset 48e4f83ba03d.
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