Model Mathematics

nuclearNFAT = NFATN_n + NFATp_n

ms_in_pulse = 1000 (t - (⌊ \frac{t}{period} ⌋ period)) baseline = \{\begin{matrix} 93 if period \geq 0.12 \\ 1121 + (period 1000 - 16) (- 9.8846) otherwise \end{matrix} stimGradient = \frac{1121 - baseline}{16} CaBeat = \{\begin{matrix} ms_in_pulse stimGradient + baseline if ms_in_pulse ≦ 16 \\ (ms_in_pulse - 16) (- 9.8846) + 1121 if ms_in_pulse > 16 \land ms_in_pulse ≦ 120 \\ baseline otherwise \end{matrix} Ca = CaBeat + CaSigTrans

act_N = \frac{{Ca}^{n}}{{Ca}^{n} + {K_mN}^{n} (1 + \frac{K_dN}{M})}

J1 = k_f1 NFATp_c Ntot act_N - (k_r1 NFATN_c (1 - act_N)) J2 = k_f2 NFATN_c J3 = k_f3 NFATN_n (1 - act_N) - (k_r3 NFATp_n Ntot act_N) J4 = k_f4 NFATp_n \frac{d}{d t} (NFATp_c) = \frac{J4}{Ccn} - J1 \frac{d}{d t} (NFATN_c) = J1 - J2 \frac{d}{d t} (NFATN_n) = J2 Ccn - J3 \frac{d}{d t} (NFATp_n) = J3 - J4