Model Mathematics

Component: environment

Component: model_parameters

t t=time delta_t= 1.0

Component: R_A

R_A t + delta_t =epsilon t gamma H_A

Component: P_G

P_G t + delta_t =P_V+P_AR_E t R_A t C_A t C_E t 1.0 +R_E t R_A t C_A t C_E t

Component: phi

phi t + delta_t = epsilon_max - psi 1.0 + kappa Na_M t - D_TGF - Na_half

Component: epsilon

epsilon t + delta_t =phi t + epsilon t 2.0 zeta omega delta + 2.0 omega delta 2.0 -epsilon t - delta omega delta 2.0 1.0 + 2.0 zeta omega delta + 1.0 omega delta 2.0

Component: pi_G

pi_G= pi C_A + C_E 2.0

Component: pi

pi C = a C + b C 2.0

Component: SNGFR

SNGFR= Kf P_G - P_BC + pi_G

Component: Na_I

Na_I t =Na_R t 0.67

Component: H2O_I

H2O_I t =H2O_R t 0.67

Component: H2O_D_M

H2O_D_M t =H2O_D_M t + delta_t

Component: Na_D_M

Na_D_M t =Na_D_M t + delta_t

Component: Na_D

Na_D t =Na_M t H2O_M t + delta_t H2O_D t + delta_t

Component: Na_M

Na_M t + delta_t =H2O_M t Na_A t + delta_t H2O_A t + Na_G

Component: H2O_D

H2O_D t + delta_t =Na_D t Na_D_M t H2O_D_M t

Component: H2O_M

H2O_M t + delta_t =Na_M t Na_D_M t H2O_D_M t

Component: Na_A

Na_A t + delta_t =H2O_A t H2O_M_A t + delta_t Na_M_A t -Na_G t H2O_M t

Component: Na_G

Na_G = Na_M - Na_A

Component: H2O_A

Component: H2O_I_IF

Component: Na_I_IF

Component: Na_M_A

Na_M_A = Na_M + Na_A

Component: H2O_M_A

H2O_M_A = H2O_M + H2O_A

Component: R_ADH

R_ADH=log10 ADH_I 1e12 2.0

Component: R_ALD

R_ALD=log10 ALD_I 1e11 3.0

Component: H2O_R

H2O_R=R_ADHH2O_I- Na_I H2O_I_IFNa_I_IF

Component: Na_R

Na_R = R_ALD Na_max Na_I