Model Mathematics

\frac{d}{d time} (T) = (s_V - (mu_T T)) + r T (1 - (\frac{T + T_1}{T_max})) - (k_1 V T) - (k_1_V_T) s_V = \frac{s_0 theta}{theta + V}

\frac{d}{d time} (T_1) = k_1 V T + k_1_V_T - (mu_T T_1) - (k_2 T_1)

\frac{d}{d time} (T_2) = k_2 T_1 - (k_1D D T_2) - (mu_b T_2)

\frac{d}{d time} (T_D2) = k_1D D T_2 - (k_s T_D2) - (mu_bD T_D2)

\frac{d}{d time} (T_D1) = k_s T_D2 - (mu_TD T_D1)

\frac{d}{d time} (D) = N_D_t mu_bD T_D2 + pi_D_t T_D1 - (mu_D D) N_D_t = 0.2 N_t pi_D_t = 0.3 mu_b N_t

\frac{d}{d time} (V) = N_t mu_b T_2 + N_2_t mu_bD T_D2 - (k_1 V T) - (mu_V V) N_2_t = 0.6 N_t

\frac{d}{d time} (V_) = N_t_mu_bD T_D2 + pi_t_T_D1 - (mu_V V_) - (k_1_T V_) N_t_= 0.2 N_t pi_t_= 0.1 mu_b N_t

N_t = N_0 (1 + gamma \frac{{time}^{2}}{{time}^{2} + {t_c}^{2}})

T_tot = T + T_1 + T_2

Model Curation

Source: Derived from workspace Nelson, Perelson 1995 at changeset 9fc822844f87.

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