# Model Mathematics

### Component: RS

$ddtimeRS=k_r⁢R_T-k_r+k_p⁢LK_1+L⁢RS-k_r⁢RS_p$

### Component: RS_p

$ddtimeRS_p=L⁢k_p⁢RSK_1+L-k_e⁢RS_pK_2+L$

### Component: G_GTP

$ddtimeG=k_a⁢delta+rho_r⁢G_T-G-k_d⁢G$

### Component: IP_3

$ddtimeIP_3=r_h⁢PIP_2N_a⁢v-k_deg⁢IP_3$

### Component: PIP_2

$ddtimePIP_2=-r_h+r_r⁢PIP_2-r_r⁢N_a⁢v⁢IP_3+r_r⁢PIP_2_T$

### Component: r_h

$r_h=alpha⁢CK_c+C⁢G$

### Component: rho_r

$rho_r=L⁢RSxi⁢R_T⁢K_1+L$

### Component: C

$ddtimeC=beta⁢epsilon_r⁢eta_1⁢m_infinit3⁢h3+eta_2⁢C_ER-C-eta_3⁢C2k_32+C2$

### Component: h

$ddtimeh=h_infinit-htau_h$

### Component: tau_h

$tau_h=a_2⁢zeta+C-1$

### Component: h_infinit

$h_infinit=zetazeta+C$

### Component: zeta

$zeta=d_2⁢IP_3+d_1IP_3+d_3$

### Component: m_infinit

$m_infinit=IP_3d_1+IP_3⁢Cd_5+C$

### Component: beta

$beta=1+K_e⁢B_eK_e+C2+K_x⁢B_xK_x+C2-1$

### Component: gamma

$gamma=1+B_eK_e+C+B_xK_x+C-1$

### Component: C_ER

$C_ER=K_ERB_ER⁢epsilon_r⁢C_T-Cgamma$

### Component: RS_E

$RS_E=k_r⁢1+k_pk_e⁢K_2+LK_1+Lk_r+k_p⁢LK_1+L+k_r⁢k_pk_e⁢K_2+LK_1+L⁢xi⁢R_T+1-xi⁢R_T$
Source
Derived from workspace Lemon, Gibson, Bennett, 2003 at changeset 8d53f68cb53a.
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