Model Mathematics

stim_on = \{\begin{matrix} 1 if time \geq time_before_stim \land (time - time_before_stim) mod stim_wavelength ≦ stim_duration \\ 0 otherwise \end{matrix}

k1 = \{\begin{matrix} k1_stim if stim_on = 1 \\ k1_unstim otherwise \end{matrix}

Jdephosphorylation = k1 NFATP_cyt - (k2 NFAT_cyt)

Jtranslocate = k3 NFAT_cyt

Jexport = k4 NFAT_nuc

\frac{d}{d time} (NFATP_cyt) = Jexport - Jdephosphorylation

\frac{d}{d time} (NFAT_cyt) = Jdephosphorylation - Jtranslocate

\frac{d}{d time} (NFAT_nuc) = Jtranslocate - Jexport

NFAT_tot = NFATP_cyt + NFAT_cyt + NFAT_nuc

percentage_NFAT_cyt = \frac{NFAT_cyt 100}{NFAT_tot}

percentage_NFATP_cyt = \frac{NFATP_cyt 100}{NFAT_tot}

percentage_NFAT_nuc = \frac{NFAT_nuc 100}{NFAT_tot}