# Model Mathematics

### Component: Rs

$ddtimeRs= kr ⁢ Cs + krec_c ⁢ Ric + krec_i ⁢ 1.0 - fr ⁢ Rii + ks - kfc numcell ⁢ Rs ⁢ Lo + kt ⁢ Rs$

### Component: Cs

$ddtimeCs= ku ⁢ Ts + krec_c ⁢ Cic + krec_i ⁢ 1.0 - fr ⁢ Cii - kfc numcell ⁢ Rs ⁢ Lo + kr ⁢ Cs + kc ⁢ Cs ⁢ Ps + kt ⁢ Cs$

### Component: Ts

$ddtimeTs= kc ⁢ Cs ⁢ Ps - ku ⁢ Ts + lamda ⁢ Ts$

### Component: Ps

$ddtimePs= ku ⁢ Ts + krec_p ⁢ Pi - kc ⁢ Cs ⁢ Ps + lamda ⁢ Ps$

### Component: Lo

$ddtimeLo= numcell ⁢ kr ⁢ Cs + krec_c ⁢ Lic - kfc ⁢ Rs ⁢ Lo$

### Component: Rii

$ddtimeRii= kr_ ⁢ Cii - kfe numcell ⁢ Rii ⁢ Lii + krec_i ⁢ 1.0 - fr ⁢ Rii + fr ⁢ kdeg ⁢ Rii$

### Component: Cii

$ddtimeCii= kfe numcell ⁢ Rii ⁢ Lii + ku_ ⁢ Ti - kr_ ⁢ Cii + fr ⁢ kdeg ⁢ Cii + krec_i ⁢ 1.0 - fr ⁢ Cii$

### Component: Ti

$ddtimeTi= lamda ⁢ Ts - ku_ ⁢ Ti + kdeg ⁢ Ti$

### Component: Pi

$ddtimePi= ku_ ⁢ Ti + lamda ⁢ Pi - krec_p ⁢ Pi$

### Component: Lii

$ddtimeLii= numcell ⁢ kr_ ⁢ Cii - kdeg ⁢ Lii + kfe ⁢ Rii ⁢ Lii$

### Component: Ric

$ddtimeRic= kr ⁢ Cic + kt ⁢ Rs - kfv numcell ⁢ Ric ⁢ Lic + krec_c ⁢ Ric$

### Component: Cic

$ddtimeCic= kfv numcell ⁢ Ric ⁢ Lic + kt ⁢ Cs - kr ⁢ Cic + krec_c ⁢ Cic$

### Component: Lic

$ddtimeLic= numcell ⁢ kr ⁢ Cic - krec_c ⁢ Lic + kfv ⁢ Ric ⁢ Lic$

### Component: kinetic_constants

$ku= kc Kcp kfc= kf ⁢ numcell Nav ⁢ Vplate kfe= kf Nav ⁢ Vendosome kfv= kf Nav ⁢ Vvesicle numcell= cell plate Vplate= L plate$
Source
Derived from workspace Starbuck, Wiley, Lauffenburger, 1990 at changeset 2e0f2403ee99.
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