# Model Mathematics

### Component: uninfected_CD4

$ddtimeT=s_V-mu_T⁢T+r⁢T⁢1-T+T_1T_max-k_1⁢V⁢T-k_1_⁢V_⁢Ts_V=s_0⁢thetatheta+V$

### Component: latently_infected_CD4

$ddtimeT_1=k_1⁢V⁢T+k_1_⁢V_⁢T-mu_T⁢T_1-k_2⁢T_1$

### Component: actively_infected_CD4

$ddtimeT_2=k_2⁢T_1-k_1D⁢D⁢T_2-mu_b⁢T_2$

### Component: actively_coinfected_CD4

$ddtimeT_D2=k_1D⁢D⁢T_2-k_s⁢T_D2-mu_bD⁢T_D2$

### Component: stably_coinfected_CD4

$ddtimeT_D1=k_s⁢T_D2-mu_TD⁢T_D1$

### Component: DIV

$ddtimeD=N_D_t⁢mu_bD⁢T_D2+pi_D_t⁢T_D1-mu_D⁢DN_D_t=0.2⁢N_tpi_D_t=0.3⁢mu_b⁢N_t$

### Component: HIV1

$ddtimeV=N_t⁢mu_b⁢T_2+N_2_t⁢mu_bD⁢T_D2-k_1⁢V⁢T-mu_V⁢VN_2_t=0.6⁢N_t$

### Component: hybrid_HIV1

$ddtimeV_=N_t_⁢mu_bD⁢T_D2+pi_t_⁢T_D1-mu_V⁢V_-k_1_⁢T⁢V_N_t_=0.2⁢N_tpi_t_=0.1⁢mu_b⁢N_t$

### Component: production_function

$N_t=N_0⁢1+gamma⁢time2time2+t_c2$

### Component: cell_population

$T_tot=T+T_1+T_2$
Source
Derived from workspace Nelson, Perelson 1995 at changeset 837457a7e189.
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This work is licensed under a Creative Commons Attribution 3.0 Unported License.