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# Model Mathematics

### Component: PluralPressureFunction

$R=2⁢π⁢15P_L=P_m-R⁢omega⁢V_T2⁢sin⁡omega⁢time1-E⁢2.5-V_T⁢12⁢cos⁡omega⁢time1dP_Ldt=-R⁢omega2⁢V_T2⁢1⁢cos⁡omega⁢time1-E⁢2.5-V_T2⁢sin⁡omega⁢time1$

### Component: lungMechanics

$q=P_m-P_ARddtimeP_A=P_m⁢E⁢Q_AP_A⁢1+dP_LdtddtimeV_A=P_m-P_L-V_A⁢E1R$

### Component: gasExchange

$p_ao=f_o⁢P_A-P_wp_ac=f_c⁢P_A-P_wQ_A=q+1⁢D_c⁢p_c-p_ac+1⁢D_o⁢p_o-p_aof_oi=f_o⁢V_D+f_om⁢V_T-V_DV_TifV_T≥V_Df_ootherwisef_ci=f_c⁢V_D+f_cm⁢V_T-V_DV_TifV_T≥V_Df_cotherwiseddtimef_o=1V_A⁢1⁢D_o⁢p_o-p_ao+f_oi-f_o⁢q-f_o⁢1⁢D_c⁢p_c-p_ac+1⁢D_o⁢p_o-p_aoddtimef_c=1V_A⁢1⁢D_c⁢p_c-p_ac+f_ci-f_c⁢q-f_c⁢1⁢D_o⁢p_o-p_ao+1⁢D_c⁢p_c-p_ac$

### Component: gasTransport

$delta=101.9h=1⁢10-7.4df_satdp=L⁢1+K_T⁢sigma⁢p_o4+1+K_R⁢sigma⁢p_o4⁢3⁢L⁢K_T2⁢sigma2⁢p_o⁢1⁢1+K_T⁢sigma⁢p_o2+L⁢K_T⁢sigma⁢1⁢1+K_T⁢sigma⁢p_o3+3⁢K_R2⁢sigma2⁢p_o⁢1⁢1+K_R⁢sigma⁢p_o2+K_R⁢sigma⁢1⁢1+K_R⁢sigma⁢p_o3-L⁢K_T⁢sigma⁢p_o⁢1+K_T⁢sigma⁢p_o3+K_R⁢sigma⁢p_o⁢1+K_R⁢sigma⁢p_o3⁢4⁢L⁢K_T⁢sigma⁢1⁢1+K_T⁢sigma⁢p_o3+4⁢K_R⁢sigma⁢1⁢1+K_R⁢sigma⁢p_o3L⁢1+K_T⁢sigma⁢p_o4+1+K_R⁢sigma⁢p_o42ddtimep_o=D_osigma⁢V_c⁢1+4⁢T_hsigma⁢df_satdp-1⁢f_o⁢P_A-P_w-p_oddtimep_c=D_csigma_c⁢V_c⁢p_ac-p_c+1⁢delta⁢l_2sigma_c⁢h⁢z-delta⁢r_2⁢p_cddtimez=delta⁢r_2⁢sigma_c⁢p_c1-delta⁢l_2⁢h⁢z$
Model Curation
• Curation Status
• JSim
• COR
• OpenCell
Source
Derived from workspace Bental, 2006 at changeset 745d902159aa.