Model Mathematics

Component: gas_exchange

x_m=log10Pin_m-k1_m+k2_mpH_m-7.4k3_m x_m1=10x_m S_m=100x_m11+x_m1 x_f=log10Pin_f-k1_f+k2_fpH_f-7.4k3_f x_f1=10x_f S_f=100x_f11+x_f1 O2_m=1.34Hb_m100k4_mPin_m-1k3_m+1+aPin_m O2_f=1.34Hb_f100k4_fPin_f-1k3_f+1+aPin_f x1_m=-1c2100-96ifS_m>96-1c2100-S_motherwise theta_96_m=c11-x1_m+c3S_m-c41.34100Hb_m0.2ks_mkh theta_m=theta_96_m-theta_96_m96-S_m-4ifS_m>96c11-x1_m+c3S_m-c41.34100Hb_m0.2ks_mkhotherwise x1_f=-1c2100-96ifS_f>96-1c2100-S_fotherwise theta_96_f=c11-x1_f+c3S_f-c41.34100Hb_f0.2ks_fkh theta_f=theta_96_f-theta_96_f96-S_f-4ifS_f>96c11-x1_f+c3S_f-c41.34100Hb_f0.2ks_fkhotherwise R_m=1theta_mV_m R_f=1theta_fV_f R_p=1Dm R_t=R_m+R_f+R_p Dp=1R_t60 dodt_m=B-1DpPin_m-Pin_fV_m dodt_f=-1BV_mV_fdodt_m tt=V_fQ_f60 dt=tt100 O2_mnew=O2_m+dodt_mdt2 O2_fnew=O2_f+dodt_fdt2 f_m=1.34Hb_m100k4_mPin_m-1k3_m+1+aPin_m-O2_mnew f_f=1.34Hb_f100k4_fPin_f-1k3_f+1+aPin_f-O2_fnew upper_m=1.34Hb_mk4_mPin_m-1k3_m-1 lower_m=100k3_mk4_mPin_m-1k3_m+12 dfdP_m=upper_mlower_m+a upper_f=1.34Hb_fk4_fPin_f-1k3_f-1 lower_f=100k3_fk4_fPin_f-1k3_f+12 dfdP_f=upper_flower_f+a Pend1_m=Pin_m-f_mdfdP_m Pend1_f=Pin_f-f_fdfdP_f x_m_sec=log10Pend1_m-k1_m+k2_mpH_m-7.4k3_m x_m1_sec=10x_m_sec S_m_sec=100x_m1_sec1+x_m1_sec x_f_sec=log10Pend1_f-k1_f+k2_fpH_f-7.4k3_f x_f1_sec=10x_f_sec S_f_sec=100x_f1_sec1+x_f1_sec x1_m_sec=-1c2100-96ifS_m_sec>96-1c2100-S_m_secotherwise theta_96_m_sec=c11-x1_m_sec+c3S_m_sec-c41.34100Hb_m0.2ks_mkh theta_m_sec=theta_96_m_sec-theta_96_m_sec96-S_m_sec-4ifS_m_sec>96c11-x1_m_sec+c3S_m_sec-c41.34100Hb_m0.2ks_mkhotherwise x1_f_sec=-1c2100-96ifS_f_sec>96-1c2100-S_f_secotherwise theta_96_f_sec=c11-x1_f_sec+c3S_f_sec-c41.34100Hb_f0.2ks_fkh theta_f_sec=theta_96_f_sec-theta_96_f_sec96-S_f_sec-4ifS_f_sec>96c11-x1_f_sec+c3S_f_sec-c41.34100Hb_f0.2ks_fkhotherwise R_m_sec=1theta_m_secV_m R_f_sec=1theta_f_secV_f R_p_sec=1Dm R_t_sec=R_m_sec+R_f_sec+R_p_sec Dp_sec=1R_t_sec60 dodt_m_sec=B-1Dp_secPend1_m-Pend1_fV_m dodt_f_sec=-1BV_mV_fdodt_m_sec O2_mnew_sec=O2_m+dodt_m_secdt2 O2_fnew_sec=O2_f+dodt_f_secdt2 f_m_sec=1.34Hb_m100k4_mPend1_m-1k3_m+1+aPend1_m-O2_mnew_sec f_f_sec=1.34Hb_f100k4_fPend1_f-1k3_f+1+aPend1_f-O2_fnew_sec upper_m_sec=1.34Hb_mk4_mPend1_m-1k3_m-1 lower_m_sec=100k3_mk4_mPend1_m-1k3_m+12 dfdP_m_sec=upper_m_seclower_m_sec+a upper_f_sec=1.34Hb_fk4_fPend1_f-1k3_f-1 lower_f_sec=100k3_fk4_fPend1_f-1k3_f+12 dfdP_f_sec=upper_f_seclower_f_sec+a Pend2_m=Pend1_m-f_m_secdfdP_m_sec Pend2_f=Pend1_f-f_f_secdfdP_f_sec x_m_trd=log10Pend2_m-k1_m+k2_mpH_m-7.4k3_m x_m1_trd=10x_m_trd S_m_trd=100x_m1_trd1+x_m1_trd x_f_trd=log10Pend2_f-k1_f+k2_fpH_f-7.4k3_f x_f1_trd=10x_f_trd S_f_trd=100x_f1_trd1+x_f1_trd x1_m_trd=-1c2100-96ifS_m_trd>96-1c2100-S_m_trdotherwise theta_96_m_trd=c11-x1_m_trd+c3S_m_trd-c41.34100Hb_m0.2ks_mkh theta_m_trd=theta_96_m_trd-theta_96_m_trd96-S_m_trd-4ifS_m_trd>96c11-x1_m_trd+c3S_m_trd-c41.34100Hb_m0.2ks_mkhotherwise x1_f_trd=-1c2100-96ifS_f_trd>96-1c2100-S_f_trdotherwise theta_96_f_trd=c11-x1_f_trd+c3S_f_trd-c41.34100Hb_f0.2ks_fkh theta_f_trd=theta_96_f_trd-theta_96_f_trd96-S_f_trd-4ifS_f_trd>96c11-x1_f_trd+c3S_f_trd-c41.34100Hb_f0.2ks_fkhotherwise R_m_trd=1theta_m_trdV_m R_f_trd=1theta_f_trdV_f R_p_trd=1Dm R_t_trd=R_m_trd+R_f_trd+R_p_trd Dp_trd=1R_t_trd60 dodt_m_trd=B-1Dp_trdPend2_m-Pend2_fV_m dodt_f_trd=-1BV_mV_fdodt_m_trd O2_mnew_trd=O2_m+dodt_m_trddt O2_fnew_trd=O2_f+dodt_f_trddt f_m_trd=1.34Hb_m100k4_mPend2_m-1k3_m+1+aPend2_m-O2_mnew_trd f_f_trd=1.34Hb_f100k4_fPend2_f-1k3_f+1+aPend2_f-O2_fnew_trd upper_m_trd=1.34Hb_mk4_mPend2_m-1k3_m-1 lower_m_trd=100k3_mk4_mPend2_m-1k3_m+12 dfdP_m_trd=upper_m_trdlower_m_trd+a upper_f_trd=1.34Hb_fk4_fPend2_f-1k3_f-1 lower_f_trd=100k3_fk4_fPend2_f-1k3_f+12 dfdP_f_trd=upper_f_trdlower_f_trd+a Pend3_m=Pend2_m-f_m_trddfdP_m_trd Pend3_f=Pend2_f-f_f_trddfdP_f_trd x_m_for=log10Pend3_m-k1_m+k2_mpH_m-7.4k3_m x_m1_for=10x_m_for S_m_for=100x_m1_for1+x_m1_for x_f_for=log10Pend3_f-k1_f+k2_fpH_f-7.4k3_f x_f1_for=10x_f_for S_f_for=100x_f1_for1+x_f1_for x1_m_for=-1c2100-96ifS_m_for>96-1c2100-S_m_forotherwise theta_96_m_for=c11-x1_m_for+c3S_m_for-c41.34100Hb_m0.2ks_mkh theta_m_for=theta_96_m_for-theta_96_m_for96-S_m_for-4ifS_m_for>96c11-x1_m_for+c3S_m_for-c41.34100Hb_m0.2ks_mkhotherwise x1_f_for=-1c2100-96ifS_f_for>96-1c2100-S_f_forotherwise theta_96_f_for=c11-x1_f_for+c3S_f_for-c41.34100Hb_f0.2ks_fkh theta_f_for=theta_96_f_for-theta_96_f_for96-S_f_for-4ifS_f_for>96c11-x1_f_for+c3S_f_for-c41.34100Hb_f0.2ks_fkhotherwise R_m_for=1theta_m_forV_m R_f_for=1theta_f_forV_f R_p_for=1Dm R_t_for=R_m_for+R_f_for+R_p_for Dp_for=1R_t_for60 dodt_m_for=B-1Dp_forPend3_m-Pend3_fV_m dodt_f_for=-1BV_mV_fdodt_m_for O2_mnew_final=O2_m+16dodt_m+2dodt_m_sec+2dodt_m_trd+dodt_m_fordt O2_fnew_final=O2_f+16dodt_f+2dodt_f_sec+2dodt_f_trd+dodt_f_fordt f_m_final=1.34Hb_m100k4_mPend3_m-1k3_m+1+aPend3_m-O2_mnew_final f_f_final=1.34Hb_f100k4_fPend3_f-1k3_f+1+aPend3_f-O2_fnew_final upper_m_final=1.34Hb_mk4_mPend3_m-1k3_m-1 lower_m_final=100k3_mk4_mPend3_m-1k3_m+12 dfdP_m_final=upper_m_finallower_m_final+a upper_f_final=1.34Hb_fk4_fPend3_f-1k3_f-1 lower_f_final=100k3_fk4_fPend3_f-1k3_f+12 dfdP_f_final=upper_f_finallower_f_final+a Pfinal_m=Pend3_m-f_m_finaldfdP_m_final Pfinal_f=Pend3_f-f_f_finaldfdP_f_final ddtPin_m=Pfinal_m-Pin_mdt ddtPin_f=Pfinal_f-Pin_fdt