# Model Mathematics

### Component: subspace

$dd time Ca_SS = J_release + J_DHPR + J_efflux + J_buf J_DHPR =- I_DHPR 2.0 ⁢ F ⁢ V_SS J_release =∑ RyR_open ⁢ J_RyR J_RyR = D_RyR ⁢ Ca_lumen - Ca_SS RyR_open = 0.0 if i = 0.0 1.0 otherwisedd time Ca_B_SR = k_on_SR ⁢ Ca_SS ⁢ Ca_B_SR - k_off_SR ⁢ Ca_B_SR_tot - Ca_B_SR dd time Ca_B_trpnC = k_on_trpnC ⁢ Ca_SS ⁢ Ca_B_trpnC - k_off_trpnC ⁢ Ca_B_trpnC_tot - Ca_B_trpnC dd time Ca_B_CaM = k_on_CaM ⁢ Ca_SS ⁢ Ca_B_CaM - k_off_CaM ⁢ Ca_B_CaM_tot - Ca_B_CaM dd time Ca_B_SL = k_on_SL ⁢ Ca_SS ⁢ Ca_B_SL - k_off_SL ⁢ Ca_B_SL_tot - Ca_B_SL J_buf = k_on_CaM ⁢ Ca_SS ⁢ Ca_B_CaM - k_off_CaM ⁢ Ca_B_CaM_tot - Ca_B_CaM + k_on_trpnC ⁢ Ca_SS ⁢ Ca_B_trpnC - k_off_trpnC ⁢ Ca_B_trpnC_tot - Ca_B_trpnC + k_on_SR ⁢ Ca_SS ⁢ Ca_B_SR - k_off_SR ⁢ Ca_B_SR_tot - Ca_B_SR + k_on_SL ⁢ Ca_SS ⁢ Ca_B_SL - k_off_SL ⁢ Ca_B_SL_tot - Ca_B_SL J_efflux = Ca_myo + Ca_SS tau_efflux$

### Component: lumen

$dd time Ca_lumen = beta_JSR ⁢- J_RyR ⁢ V_SS V_JSR + J_refill J_refill = Ca_NSR - Ca_lumen tau_refill beta_JSR = 1.0 + CSQ_tot ⁢ K_CSQ CSQ + K_CSQ 2.0 -1.0$

### Component: RyR_receptor_gating

$k_close = CF_close ⁢ 480.0 k_open = CF_open ⁢ 30000.0 ⁢ Ca_SS 4.0 Ca_SS 4.0 + K_m 4.0 K_m = 6.0 - 0.0024 ⁢ Ca_lumen CF_open = 1.0 + N_open + 1.0 N_open + N_closed CF_close = k_coop ⁢ 1.0 + N_closed + 1.0 N_open + N_closed$

### Component: spark_model

$dd time Ca = DC ⁢ Ca + J_dye + J_buf + J_pump + J_leak + J_RyR dd time Ca_F = DF ⁢ Ca_F - J_dye J_dye =- k_F_plus ⁢ Ca ⁢ F_T - Ca_F + k_F_minus ⁢ Ca_F J_pump = Vmax_pump ⁢ Ca m Km_pump + Ca m J_leak =- Vmax_pump ⁢ C_infinity m Km_pump + C_infinity m$
Source
Derived from workspace Sobie, Dilly, Dossantoscruz, Lederer, Jafri, 2002 at changeset 5f5f397174bd.
Collaboration
To begin collaborating on this work, please use your git client and issue this command: