Model Mathematics

R_off = R_T - (D + A_1 + A_2) \frac{d}{d time} (D) = k_on R_off + f_prime A_1 + g A_2 - ((k_off + f) D) \frac{d}{d time} (A_1) = f D + h_prime A_2 - ((f_prime + h) A_1) \frac{d}{d time} (A_2) = h A_1 - ((h_prime + g) A_2) lambda_off = \frac{R_off}{R_T} lambda_on = \frac{D + A_1 + A_2}{R_T} lambda_D = \frac{D}{R_T} lambda_A_1 = \frac{A_1}{R_T} lambda_A_2 = \frac{A_2}{R_T} lambda_A2_cyc = \frac{A_2}{D + A_1 + A_2} Ca = Ca_50 100 Ca_50 = \frac{k_Ca_off}{k_Ca_on} F = \frac{1}{1 + {(\frac{Ca}{Ca_50})}^{- n_H}}

k_u_on = k_0_on + \frac{(k_Ca_on - k_0_on) Ca}{Ca_50 + Ca} k_u_off = k_0_off + \frac{(k_Ca_off - k_0_off) Ca}{Ca_50 + Ca}

k_w_on = k_u_on {(1 + lambda_on (u - 1))}^{2} k_w_off = k_u_off {(u - (lambda_on (u - 1)))}^{2}

f = f_0 {(1 + lambda_A_2 (ⅇ^{v - 1} - 1))}^{2} f_prime = f_prime_0 {(1 + lambda_A_2 (ⅇ^{- (v - 1)} - 1))}^{2}

k_on = k_w_on {(1 + lambda_A_2 (ⅇ^{w - 1} - 1))}^{2} k_off = k_w_off {(1 + lambda_A_2 (ⅇ^{- (w - 1)} - 1))}^{2}