Model Mathematics

Component: Environment

Component: PluralPressureFunction

R=2π15P_L=P_m-RomegaV_T2sinomegatime1-E2.5-V_T12cosomegatime1dP_Ldt=-Romega2V_T21cosomegatime1-E2.5-V_T2sinomegatime1

Component: lungMechanics

q=P_m-P_ARddtimeP_A=P_mEQ_AP_A1+dP_LdtddtimeV_A=P_m-P_L-V_AE1R

Component: gasExchange

p_ao=f_oP_A-P_wp_ac=f_cP_A-P_wQ_A=q+1D_cp_c-p_ac+1D_op_o-p_aof_oi=f_oV_D+f_omV_T-V_DV_TifV_TV_Df_ootherwisef_ci=f_cV_D+f_cmV_T-V_DV_TifV_TV_Df_cotherwiseddtimef_o=1V_A1D_op_o-p_ao+f_oi-f_oq-f_o1D_cp_c-p_ac+1D_op_o-p_aoddtimef_c=1V_A1D_cp_c-p_ac+f_ci-f_cq-f_c1D_op_o-p_ao+1D_cp_c-p_ac

Component: gasTransport

delta=101.9h=110-7.4df_satdp=L1+K_Tsigmap_o4+1+K_Rsigmap_o43LK_T2sigma2p_o11+K_Tsigmap_o2+LK_Tsigma11+K_Tsigmap_o3+3K_R2sigma2p_o11+K_Rsigmap_o2+K_Rsigma11+K_Rsigmap_o3-LK_Tsigmap_o1+K_Tsigmap_o3+K_Rsigmap_o1+K_Rsigmap_o34LK_Tsigma11+K_Tsigmap_o3+4K_Rsigma11+K_Rsigmap_o3L1+K_Tsigmap_o4+1+K_Rsigmap_o42ddtimep_o=D_osigmaV_c1+4T_hsigmadf_satdp-1f_oP_A-P_w-p_oddtimep_c=D_csigma_cV_cp_ac-p_c+1deltal_2sigma_chz-deltar_2p_cddtimez=deltar_2sigma_cp_c1-deltal_2hz