You are here: Home / Exposures / Dijkstra, Neal, Beever, France, 1992 / Simulation of nutrient digestion, absorption and outflow in the rumen: model description

Model Mathematics

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Component: environment

Component: Q_Pd

C_Pd = \frac{Q_Pd}{V_Ru}

P_Pd_InPd = Y_Pd_InPd D_Pd

U_Pd_PdPs = \frac{v_PdPs}{1 + \frac{M_Pd_PdPs}{C_Pd}}

U_Pd_PdEx = k_PdEx Q_Pd

\frac{d}{d time} (Q_Pd) = P_Pd_InPd - (U_Pd_PdPs + U_Pd_PdEx)

k_PdEx = k_SoEx

M_Pd_PdPs = M_Pd_PdPs_star \frac{T_Pd}{T_Pd_star}

v_PdPs = v_PdPs_star (Q_Ma + Q_Mc)

Component: Q_Ps

C_Ps = \frac{Q_Ps}{V_Ru}

P_Ps_InPs = Y_Ps_InPs D_Ps

P_Ps_SaPs = Y_Ps_SaPs D_Ps

P_Ps_PdPs = Y_Ps_PdPs U_Pd_PdPs

P_Ps_MaMd = Y_Ps_MaMd U_Ma_MaMd

P_Ps_McPs = Y_Ps_McPs U_Mc_McPs

U_MaPs_PsAm = \frac{v_Ma_PsAm}{1 + \frac{M_Ps_PsAm}{C_Ps} + \frac{C_Ha}{J_Ha_PsAm}}

U_McPs_PsAm = \frac{v_Mc_PsAm}{1 + \frac{M_Ps_PsAm}{C_Ps} + \frac{C_Hc}{J_Hc_PsAm}}

U_Ps_PsMa = \frac{v_PsMa}{1 + \frac{M_Ps_PsMa}{C_Ps} + \frac{M_Ha_PsMa}{C_Ha}}

U_Ps_PsMc = \frac{v_PsMc}{1 + \frac{M_Ps_PsMc}{C_Ps} + \frac{M_Hc_PsMc}{C_Hc}}

U_Ps_PsEx = k_PsEx Q_Ps

\frac{d}{d time} (Q_Ps) = P_Ps_InPs + P_Ps_PdPs + P_Ps_MaMd + P_Ps_SaPs + P_Ps_McPs - (U_MaPs_PsAm + U_McPs_PsAm + U_Ps_PsMa + U_Ps_PsMc + U_Ps_PsEx)

U_Mc_McPs = U_Mc_McEg (1 - (\frac{1}{1 + \frac{C_Ha}{J_Ha_McAm}} + \frac{1}{1 + \frac{M_Ha_McMa}{C_Ha}}))

v_Ma_PsAm = v_PsAm_star Q_Ma

v_Mc_PsAm = v_PsAm_star Q_Mc

v_PsMa = v_PsMa_star Q_Ma

v_PsMc = v_PsMc_star Q_Mc

k_PsEx = k_FlEx

Component: Q_Pu

C_Pu = \frac{Q_Pu}{V_Ru}

P_Pu_InPu = Y_Pu_InPu D_Pu

U_Pu_PuEx = k_PuEx Q_Pu

\frac{d}{d time} (Q_Pu) = P_Pu_InPu - U_Pu_PuEx

k_PuEx = k_SoEx

Component: Q_Am

C_Am = \frac{Q_Am}{V_Ru}

P_Am_InAm = Y_Am_InAm D_Am

P_Am_UeAm = Y_Am_UeAm v_UeAm

P_MaAm_PsAm = Y_Am_PsAm U_MaPs_PsAm

P_McAm_PsAm = Y_Am_PsAm U_McPs_PsAm

P_Am_McAm = Y_Am_McAm U_Mc_McAm

U_Am_AmMa = \frac{v_AmMa}{1 + \frac{M_Am_AmMa}{C_Am} + \frac{M_Ha_AmMa}{C_Ha}}

U_Am_AmMc = \frac{v_AmMc}{1 + \frac{M_Am_AmMc}{C_Am} + \frac{M_Hc_AmMc}{C_Hc}}

U_Am_AmAb = \frac{v_AmAb}{1 + \frac{M_Am_AmAb}{C_Am}}

U_Am_AmEx = k_AmEx Q_Am

\frac{d}{d time} (Q_Am) = P_Am_InAm + P_MaAm_PsAm + P_McAm_PsAm + P_Am_UeAm + P_Am_McAm - (U_Am_AmAb + U_Am_AmMa + U_Am_AmMc + U_Am_AmEx)

v_UeAm = v_UeAm_star V_Ru \frac{f_Ni_Fe}{1 + \frac{C_Am}{J_Am_UeAm}}

v_AmAb = v_AmAb_star {1.0}^{0.25} {V_Ru}^{0.75} (1 + {(\frac{M_pH_AmAb}{pH})}^{phi_pH_AmAb})

v_AmMa = v_AmMa_star Q_Ma (1 - f_Po_Ma)

v_AmMc = v_AmMc_star Q_Mc

U_Mc_McAm = \frac{1 U_Mc_McEg}{1 + \frac{C_Ha}{J_Ha_McAm}}

k_AmEx = k_FlEx

Component: Q_Li

C_Li = \frac{Q_Li}{V_Ru}

P_Li_InLi = Y_Li_InLi D_Li

P_Li_MaMd = Y_Li_MaMd U_Ma_MaMd

U_Li_LiEx = k_LiEx Q_Li

\frac{d}{d time} (Q_Li) = P_Li_InLi + P_Li_MaMd - U_Li_LiEx

k_LiEx = k_FlEx

Component: Q_Sd

C_Sd = \frac{Q_Sd}{V_Ru}

P_Sd_InSd = Y_Sd_InSd D_Sd

U_Sd_SdHa = \frac{v_SdHa}{1 + \frac{M_Sd_SdHa}{C_Sd}}

U_Sd_SdEx = k_SdEx Q_Sd

\frac{d}{d time} (Q_Sd) = P_Sd_InSd - (U_Sd_SdHa + U_Sd_SdEx)

v_SdHa = v_SdHa_star Q_Ma

M_Sd_SdHa = M_Sd_SdHa_star \frac{T_Sd}{T_Sd_star}

k_SdEx = k_SoEx

Component: Q_Fd

C_Fd = \frac{Q_Fd}{V_Ru}

P_Fd_InFd = Y_Fd_InFd D_Fd

U_Fd_FdHc = \frac{v_FdHc}{1 + \frac{M_Fd_FdHc}{C_Fd}}

U_Fd_FdEx = k_FdEx Q_Fd

\frac{d}{d time} (Q_Fd) = P_Fd_InFd - (U_Fd_FdHc + U_Fd_FdEx)

v_FdHc = v_FdHc_star Q_Mc ((1 - (\frac{time f}{1.0})) + \frac{\frac{time f}{1.0}}{1 + {(\frac{M_pH_FdHc}{pm})}^{phi_pH_FdHc}})

M_Fd_FdHc = M_Fd_FdHc_star \frac{T_Fd}{T_Fd_star}

k_FdEx = k_SoEx

Component: Q_Fu

C_Fu = \frac{Q_Fu}{V_Ru}

P_Fu_InFu = Y_Fu_InFu D_Fu

U_Fu_FuEx = k_FuEx Q_Fu

\frac{d}{d time} (Q_Fu) = P_Fu_InFu - U_Fu_FuEx

k_FuEx = k_SoEx

Component: Q_Ha

C_Ha = \frac{Q_Ha}{V_Ru}

P_Ha_WrHa = Y_Ha_WrHa D_Wr

P_Ha_SrHa = Y_Ha_SrHa D_Sr

P_Ha_LaHa = Y_Ha_LaHa D_La

P_Ha_SdHa = Y_Ha_SdHa U_Sd_SdHa

P_Ha_MaMd = Y_Ha_MaMd U_As_MaMd

U_Ha_AmMa = R_Ha_AmMa U_Am_AmMa

U_Ha_PsMa = R_Ha_PsMa U_Ps_PsMa

U_Ha_McMa = R_Ha_McMa U_Mc_McMa

U_Ha_HaAs = \frac{v_HaAs}{1 + \frac{M_Ha_HaAs}{C_Ha}}

U_Ha_HaVa = v_HaVa \frac{1 - f_Po_Ma}{(1 + \frac{M_Ha_HaVa}{C_Ha}) (1 + \frac{C_Am}{J_Am_HaVa}) \frac{C_Ps}{J_Ps_HaVa}} + \frac{v_HaVa f_Po_Ma}{1 + \frac{M_Ha_HaVa}{C_Ha}}

U_Ha_HaEx = k_HaEx Q_Ha

\frac{d}{d time} (Q_Ha) = P_Ha_WrHa + P_Ha_SrHa + P_Ha_SdHa + P_Ha_MaMd + P_Ha_LaHa - (U_Ha_AmMa + U_Ha_PsMa + U_Ha_McMa + U_Ha_HaAs + U_Ha_HaVa + U_Ha_HaEx)

v_HaAs = v_HaAs_star Q_Ma

v_HaVa = v_HaVa_star Q_Ma

k_HaEx = k_FlEx

Component: Q_Hc

C_Hc = \frac{Q_Hc}{V_Ru}

P_Hc_FdHc = Y_Hc_FdHc U_Fd_FdHc

U_Hc_AmMc = R_Hc_AmMc U_Am_AmMc

U_Hc_PsMc = R_Hc_PsMc U_Ps_PsMc

U_Hc_HcVa = \frac{v_HcVa}{(1 + \frac{M_Hc_HcVa}{C_Hc}) (1 + \frac{C_Am}{J_Am_HcVa} + \frac{C_Ps}{J_Ps_HcVa})}

U_Hc_HcEx = k_HcEx Q_Hc

\frac{d}{d time} (Q_Hc) = P_Hc_FdHc - (U_Hc_AmMc + U_Hc_PsMc + U_Hc_HcVa + U_Hc_HcEx)

v_HcVa = v_HcVa_star Q_Mc

k_HcEx = k_FlEx

Component: Q_Ma

C_Ma = \frac{Q_Ma}{V_Ru}

P_Ma_AmMa = Y_Ma_AmMa U_Am_AmMa

P_Ma_PsMa = Y_Ma_PsMa U_Ps_PsMa

P_Ma_McMa = Y_Ma_McMa U_Mc_McMa

U_Ma_MaMd = k_MaMd Q_Ma f_Po_Ma

U_Ma_MaEx = k_MaEx Q_Ma (1 - f_Po_Ma)

U_Ma_PoEx = k_PoEx Q_Ma f_Po_Ma

\frac{d}{d time} (Q_Ma) = P_Ma_AmMa + P_Ma_PsMa + P_Ma_McMa - (U_Ma_MaMd + U_Mc_McMa + U_Ma_PoEx)

U_Mc_McMa = \frac{U_Mc_McEg}{1 + \frac{M_Ha_McMa}{C_Ha}}

k_MaMd = k_MaEx - k_PoEx

Component: Q_As

C_As = \frac{Q_As}{V_Ru}

P_As_HaAs = Y_As_HaAs U_Ha_HaAs

U_As_MaMd = k_AsMd Q_As f_Po_Ma

U_As_AsEx = k_AsEx Q_As (1 - f_Po_Ma)

U_As_PoEx = k_PoEx Q_As f_Po_Ma

\frac{d}{d time} (Q_As) = P_As_HaAs - (U_As_MaMd + U_As_AsEx + U_As_PoEx)

k_AsEx = k_FlEx

k_AsMd = k_MaEx - k_PoEx

Component: Q_Mc

C_Mc = \frac{Q_Mc}{V_Ru}

P_Mc_AmMc = Y_Mc_AmMc U_Am_AmMc

P_Mc_PsMc = Y_Mc_PsMc U_Ps_PsMc

U_Mc_McEg = \frac{v_McEg}{1 + \frac{M_Mc_McEg}{C_Mc + C_Ma (1 - f_Po_Ma)}}

U_Mc_McEx = k_McEx Q_Mc

\frac{d}{d time} (Q_Mc) = P_Mc_AmMc + P_Mc_PsMc - (U_Mc_McEg + U_Mc_McEx)

v_McEg = \frac{v_McEg_star Q_Ma f_Po_Ma C_Mc}{C_Mc + C_Ma (1 - f_Po_Ma)}

k_McEx = k_SoEx

Component: Q_Ac

C_Ac = \frac{Q_Ac}{V_Ru}

P_Ac_InAc = Y_Ac_InAc D_Ac

P_Ac_AmMa = Y_Ac_AmMa U_Hf_AmMa

P_Ac_AmMc = Y_Ac_AmMc U_Hf_AmMc

P_Ac_PsMa = Y_Ac_PsMa U_Hf_PsMa

P_Ac_PsMc = Y_Ac_PsMc U_Hf_PsMc

P_Ac_HaAs = Y_Ac_HaAs U_Hf_HaAs

P_Ac_HaVa = Y_Ac_HaVa U_Ha_HaVa

P_Ac_HcVa = Y_Ac_HcVa U_Hc_HcVa

P_MaAc_PsAm = Y_Ac_PsAm U_MaPs_PsAm

P_McAc_PsAm = Y_Ac_PsAm U_McPs_PsAm

P_Ac_McMa = Y_Ac_McMa U_Hf_McMa

P_Ac_McAm = Y_Ac_McAm U_Mc_McAm

U_Ac_AcAb = \frac{v_AcAb}{1 + \frac{M_Ac_AcAb}{C_Ac}}

U_Ac_AcEx = k_AcEx Q_Ac

\frac{d}{d time} (Q_Ac) = P_Ac_InAc + P_Ac_AmMa + P_Ac_AmMc + P_Ac_PsMa + P_Ac_PsMc + P_Ac_HaAs + P_Ac_HaVa + P_Ac_HcVa + P_MaAc_PsAm + P_McAc_PsAm + P_Ac_McMa + P_Ac_McAm - (U_Ac_AcAb + U_Ac_AcEx)

U_Hf_AmMa = f_Hf_AmMa U_Ha_AmMa

U_Hf_AmMc = f_Hf_AmMc U_Hc_AmMc

U_Hf_PsMa = f_Hf_PsMa U_Ha_PsMa

U_Hf_PsMc = f_Hf_PsMc U_Hc_PsMc

U_Hf_HaAs = f_Hf_HaAs U_Ha_HaAs

U_Hf_McMa = f_Hf_McMa U_Ha_McMa

Y_Ac_LaAc = f_Lc_Le Y_Ac_WrAc

Y_Ac_HaVa = \frac{Y_Ac_WrAc P_Ha_WrHa + Y_Ac_LaAc P_Ha_LaHa + Y_Ac_StAc (P_Ha_SrHa + P_Ha_SdHa + P_Ha_MaMd)}{P_Ha_WrHa + P_Ha_LaHa + P_Ha_SrHa + P_Ha_SdHa + P_Ha_MaMd}

Y_Ac_HcVa = f_Ce_Fd Y_Ac_CeAc + (1 - f_Ce_Fd) Y_Ac_HeAc

Y_Ac_PsVa = Y_Ac_PsAc

Y_Ac_AmMa = Y_Ac_HaVa

Y_Ac_AmMc = Y_Ac_HcVa

Y_Ac_PsMa = Y_Ac_HaVa

Y_Ac_PsMc = Y_Ac_HcVa

Y_Ac_HaAs = Y_Ac_HaVa

Y_Ac_McMa = Y_Ac_HcVa

Y_Ac_PsAm = Y_Ac_PsVa

Y_Ac_McAm = Y_Ac_PsVa

v_AcAb = v_AcAb_star {1.0}^{0.25} \frac{{V_Ru}^{0.75}}{1.0 + {(\frac{pH}{J_pH_AcAb})}^{phi_pH_AcAb}}

k_AcEx = k_FlEx

Component: Q_Pr

C_Pr = \frac{Q_Pr}{V_Ru}

P_Pr_InPr = Y_Pr_InPr D_Pr

P_Pr_AmMa = Y_Pr_AmMa U_Hf_AmMa

P_Pr_AmMc = Y_Pr_AmMc U_Hf_AmMc

P_Pr_PsMa = Y_Pr_PsMa U_Hf_PsMa

P_Pr_PsMc = Y_Pr_PsMc U_Hf_PsMc

P_Pr_HaAs = Y_Pr_HaAs U_Hf_HaAs

P_Pr_HaVa = Y_Pr_HaVa U_Ha_HaVa

P_Pr_HcVa = Y_Pr_HcVa U_Hc_HcVa

P_MaPr_PsAm = Y_Pr_PsAm U_MaPs_PsAm

P_McPr_PsAm = Y_Pr_PsAm U_McPs_PsAm

P_Pr_McMa = Y_Pr_McMa U_Hf_McMa

P_Pr_McAm = Y_Pr_McAm U_Mc_McAm

U_Pr_PrAb = \frac{v_PrAb}{1 + \frac{M_Pr_PrAb}{C_Pr}}

U_Pr_PrEx = k_PrEx Q_Pr

\frac{d}{d time} (Q_Pr) = P_Pr_InPr + P_Pr_AmMa + P_Pr_AmMc + P_Pr_PsMa + P_Pr_PsMc + P_Pr_HaAs + P_Pr_HaVa + P_Pr_HcVa + P_MaPr_PsAm + P_McPr_PsAm + P_Pr_McMa + P_Pr_McAm - (U_Pr_PrAb + U_Pr_PrEx)

U_Hf_AmMa = f_Hf_AmMa U_Ha_AmMa

U_Hf_AmMc = f_Hf_AmMc U_Hc_AmMc

U_Hf_PsMa = f_Hf_PsMa U_Ha_PsMa

U_Hf_PsMc = f_Hf_PsMc U_Hc_PsMc

U_Hf_HaAs = f_Hf_HaAs U_Ha_HaAs

U_Hf_McMa = f_Hf_McMa U_Ha_McMa

Y_Pr_LaPr = f_Lc_Le Y_Pr_WrPr

Y_Pr_HaVa = \frac{Y_Pr_WrPr P_Ha_WrHa + Y_Pr_LaPr P_Ha_LaHa + Y_Pr_StPr (P_Ha_SrHa + P_Ha_SdHa + P_Ha_MaMd)}{P_Ha_WrHa + P_Ha_LaHa + P_Ha_SrHa + P_Ha_SdHa + P_Ha_MaMd}

Y_Pr_HcVa = f_Ce_Fd Y_Pr_CePr + (1 - f_Ce_Fd) Y_Pr_HePr

Y_Pr_PsVa = Y_Pr_PsPr

Y_Pr_AmMa = Y_Pr_HaVa

Y_Pr_AmMc = Y_Pr_HcVa

Y_Pr_PsMa = Y_Pr_HaVa

Y_Pr_PsMc = Y_Pr_HcVa

Y_Pr_HaAs = Y_Pr_HaVa

Y_Pr_McMa = Y_Pr_HcVa

Y_Pr_PsAm = Y_Pr_PsVa

Y_Pr_McAm = Y_Pr_PsVa

v_PrAb = v_PrAb_star {1.0}^{0.25} \frac{{V_Ru}^{0.75}}{1.0 + {(\frac{pH}{J_pH_PrAb})}^{phi_pH_PrAb}}

k_PrEx = k_FlEx

Component: Q_Bu

C_Bu = \frac{Q_Bu}{V_Ru}

P_Bu_InBu = Y_Bu_InBu D_Bu

P_Bu_AmMa = Y_Bu_AmMa U_Hf_AmMa

P_Bu_AmMc = Y_Bu_AmMc U_Hf_AmMc

P_Bu_PsMa = Y_Bu_PsMa U_Hf_PsMa

P_Bu_PsMc = Y_Bu_PsMc U_Hf_PsMc

P_Bu_HaAs = Y_Bu_HaAs U_Hf_HaAs

P_Bu_HaVa = Y_Bu_HaVa U_Ha_HaVa

P_Bu_HcVa = Y_Bu_HcVa U_Hc_HcVa

P_MaBu_PsAm = Y_Bu_PsAm U_MaPs_PsAm

P_McBu_PsAm = Y_Bu_PsAm U_McPs_PsAm

P_Bu_McMa = Y_Bu_McMa U_Hf_McMa

P_Bu_McAm = Y_Bu_McAm U_Mc_McAm

U_Bu_BuAb = \frac{v_BuAb}{1 + \frac{M_Bu_BuAb}{C_Bu}}

U_Bu_BuEx = k_BuEx Q_Bu

\frac{d}{d time} (Q_Bu) = P_Bu_InBu + P_Bu_AmMa + P_Bu_AmMc + P_Bu_PsMa + P_Bu_PsMc + P_Bu_HaAs + P_Bu_HaVa + P_Bu_HcVa + P_MaBu_PsAm + P_McBu_PsAm + P_Bu_McMa + P_Bu_McAm - (U_Bu_BuAb + U_Bu_BuEx)

U_Hf_AmMa = f_Hf_AmMa U_Ha_AmMa

U_Hf_AmMc = f_Hf_AmMc U_Hc_AmMc

U_Hf_PsMa = f_Hf_PsMa U_Ha_PsMa

U_Hf_PsMc = f_Hf_PsMc U_Hc_PsMc

U_Hf_HaAs = f_Hf_HaAs U_Ha_HaAs

U_Hf_McMa = f_Hf_McMa U_Ha_McMa

Y_Bu_LaBu = f_Lc_Le Y_Bu_WrBu

Y_Bu_HaVa = \frac{Y_Bu_WrBu P_Ha_WrHa + Y_Bu_LaBu P_Ha_LaHa + Y_Bu_StBu (P_Ha_SrHa + P_Ha_SdHa + P_Ha_MaMd)}{P_Ha_WrHa + P_Ha_LaHa + P_Ha_SrHa + P_Ha_SdHa + P_Ha_MaMd}

Y_Bu_HcVa = f_Ce_Fd Y_Bu_CeBu + (1 - f_Ce_Fd) Y_Bu_HeBu

Y_Bu_PsVa = Y_Bu_PsBu

Y_Bu_AmMa = Y_Bu_HaVa

Y_Bu_AmMc = Y_Bu_HcVa

Y_Bu_PsMa = Y_Bu_HaVa

Y_Bu_PsMc = Y_Bu_HcVa

Y_Bu_HaAs = Y_Bu_HaVa

Y_Bu_McMa = Y_Bu_HcVa

Y_Bu_PsAm = Y_Bu_PsVa

Y_Bu_McAm = Y_Bu_PsVa

v_BuAb = v_BuAb_star {1.0}^{0.25} \frac{{V_Ru}^{0.75}}{1.0 + {(\frac{pH}{J_pH_BuAb})}^{phi_pH_BuAb}}

k_BuEx = k_FlEx

Component: Q_Vl

C_Vl = \frac{Q_Vl}{V_Ru}

P_Vl_InVl = Y_Vl_InVl D_Vl

P_Vl_AmMa = Y_Vl_AmMa U_Hf_AmMa

P_Vl_AmMc = Y_Vl_AmMc U_Hf_AmMc

P_Vl_PsMa = Y_Vl_PsMa U_Hf_PsMa

P_Vl_PsMc = Y_Vl_PsMc U_Hf_PsMc

P_Vl_HaAs = Y_Vl_HaAs U_Hf_HaAs

P_Vl_HaVa = Y_Vl_HaVa U_Ha_HaVa

P_Vl_HcVa = Y_Vl_HcVa U_Hc_HcVa

P_MaVl_PsAm = Y_Vl_PsAm U_MaPs_PsAm

P_McVl_PsAm = Y_Vl_PsAm U_McPs_PsAm

P_Vl_McMa = Y_Vl_McMa U_Hf_McMa

P_Vl_McAm = Y_Vl_McAm U_Mc_McAm

U_Vl_VlAb = \frac{v_VlAb}{1 + \frac{M_Vl_VlAb}{C_Vl}}

U_Vl_VlEx = k_VlEx Q_Vl

\frac{d}{d time} (Q_Vl) = P_Vl_InVl + P_Vl_AmMa + P_Vl_AmMc + P_Vl_PsMa + P_Vl_PsMc + P_Vl_HaAs + P_Vl_HaVa + P_Vl_HcVa + P_MaVl_PsAm + P_McVl_PsAm + P_Vl_McMa + P_Vl_McAm - (U_Vl_VlAb + U_Vl_VlEx)

U_Hf_AmMa = f_Hf_AmMa U_Ha_AmMa

U_Hf_AmMc = f_Hf_AmMc U_Hc_AmMc

U_Hf_PsMa = f_Hf_PsMa U_Ha_PsMa

U_Hf_PsMc = f_Hf_PsMc U_Hc_PsMc

U_Hf_HaAs = f_Hf_HaAs U_Ha_HaAs

U_Hf_McMa = f_Hf_McMa U_Ha_McMa

Y_Vl_LaVl = f_Lc_Le Y_Vl_WrVl

Y_Vl_HaVa = \frac{Y_Vl_WrVl P_Ha_WrHa + Y_Vl_LaVl P_Ha_LaHa + Y_Vl_StVl (P_Ha_SrHa + P_Ha_SdHa + P_Ha_MaMd)}{P_Ha_WrHa + P_Ha_LaHa + P_Ha_SrHa + P_Ha_SdHa + P_Ha_MaMd}

Y_Vl_HcVa = f_Ce_Fd Y_Vl_CeVl + (1 - f_Ce_Fd) Y_Vl_HeVl

Y_Vl_PsVa = Y_Vl_PsVl

Y_Vl_AmMa = Y_Vl_HaVa

Y_Vl_AmMc = Y_Vl_HcVa

Y_Vl_PsMa = Y_Vl_HaVa

Y_Vl_PsMc = Y_Vl_HcVa

Y_Vl_HaAs = Y_Vl_HaVa

Y_Vl_McMa = Y_Vl_HcVa

Y_Vl_PsAm = Y_Vl_PsVa

Y_Vl_McAm = Y_Vl_PsVa

v_VlAb = v_VlAb_star {1.0}^{0.25} \frac{{V_Ru}^{0.75}}{1.0 + {(\frac{pH}{J_pH_VlAb})}^{phi_pH_VlAb}}

k_VlEx = k_FlEx

Component: model_parameters

k_MaEx = k_FlEx

k_PoEx = \frac{k_SoEx}{2}

Source: Derived from workspace Dijkstra, Neal, Beever and France, 1992 at changeset 76da47f4c532.

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Simulation of nutrient digestion, absorption and outflow in the rumen: model description