Model Mathematics

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Component: environment

Component: capillary_dynamics

Component: capillary_membrane_dynamics

Component: capillary_pressure

PC = RVS 1.7 BFN + PVS

Component: rate_of_fluid_out_of_capillaries

VTC = ((PC - PPC - PGH) + PTC) CFC + VTCPL

Component: plasma_volume_and_protein

Component: plasma_volume

VPD = (VTL - VTC - DFP) + TRPL \frac{d}{d time} (VP) = VPD

Component: plasma_protein_concentration

CPP = \frac{PRP}{VP}

Component: protein_destruction_and_formation

CPPD = \{\begin{matrix} 0 if CPP - CPR < 0 \\ CPP - CPR otherwise \end{matrix} DLP = LPPR - ({CPPD}^{LPDE} LPK)

Component: plasma_leakage

PRCD = \{\begin{matrix} 0 if PC - PCR < 0 \\ PC - PCR otherwise \end{matrix} VTCPL = {(PRCD CPK)}^{PCE}

Component: protein_influx_into_interstitium

DPC = VTCPL CPP + (CPP - CPI) 0.00104

Component: total_plasma_protein

DPP = (DLP + DPL - DPC - PPD) + TRPL 72 \frac{d}{d time} (PRP) = DPP

Component: plasma_colloid_osmotic_pressure

PPC = 0.28 CPP + 0.0019 {CPP}^{2}

Component: systemic_tissue_fluid_volume_and_protein

Component: total_systemic_fluid_volume

VTS = VEC - VP - VPF

Component: interstitial_fluid_volume

\frac{d}{d time} (VTS2) = ((VTS - 12) TSSLML - VTS2) TSSLTC VTS1 = VTS - VTS2

Component: total_interstitial_protein

DPI = DPC - DPL \frac{d}{d time} (TSP) = DPI

Component: interstitial_protein_concentration

CPI = \frac{TSP}{VTS}

Component: interstitial_colloid_osmotic_pressure

PTCPR = 0.28 CPI + 0.0019 {CPI}^{2}

Component: lymph_protein_flow

DPL = CPI VTL

Component: tissue_gel_and_fluid_and_lymph_flow

Component: hydrostatic_pressure_of_tissue_gel

CHY = {(\frac{\frac{HYL}{VTS}}{5})}^{CMPTSS} PGH = CHY PGHF + PTT

Component: total_osmotic_pressure_of_tissue_gel

POSHYL = CHY 2 PTC = POSHYL PTCPR GCOPF

Component: total_tissue_pressure

PTT = {(\frac{VTS1 - VTSF}{VTSF})}^{2} 1

Component: interstial_free_fluid_pressure

PIF = PGH - POSHYL

Component: interstitial_solid_tissue_pressure

PTS = PTT - PIF

Component: lymph_flow

PLD1 = PIF + PLDF - PTT PLD = \{\begin{matrix} 7 if PLD1 > 7 \\ PLD1 otherwise \end{matrix} VTL = \{\begin{matrix} 0 if PLD < 0 \\ PLD 0.02 otherwise \end{matrix}

Component: interstitial_gel_volume

VG = \{\begin{matrix} 0 if VTS ≦ 0 \\ 0 + \frac{(11.4 - 0) (VTS - 0)}{12 - 0} if VTS > 0 \land VTS ≦ 12 \\ 11.4 + \frac{(14 - 11.4) (VTS - 12)}{15 - 12} if VTS > 12 \land VTS ≦ 15 \\ 14 + \frac{(16 - 14) (VTS - 15)}{18 - 15} if VTS > 15 \land VTS ≦ 18 \\ 16 + \frac{(17.3 - 16) (VTS - 18)}{21 - 18} if VTS > 18 \land VTS ≦ 21 \\ 17.3 + \frac{(18 - 17.3) (VTS - 21)}{24 - 21} if VTS > 21 \land VTS ≦ 24 \\ 18 otherwise \end{matrix}

Component: interstitial_free_fluid_volume

VIF = VTS - VG

Model Mathematics

Component: environment

Component: capillary_dynamics

Component: capillary_membrane_dynamics

Component: capillary_pressure

Component: rate_of_fluid_out_of_capillaries

Component: plasma_volume_and_protein

Component: plasma_volume

Component: plasma_protein_concentration

Component: protein_destruction_and_formation

Component: plasma_leakage

Component: protein_influx_into_interstitium

Component: total_plasma_protein

Component: plasma_colloid_osmotic_pressure

Component: systemic_tissue_fluid_volume_and_protein

Component: total_systemic_fluid_volume

Component: interstitial_fluid_volume

Component: total_interstitial_protein

Component: interstitial_protein_concentration

Component: interstitial_colloid_osmotic_pressure

Component: lymph_protein_flow

Component: tissue_gel_and_fluid_and_lymph_flow

Component: hydrostatic_pressure_of_tissue_gel

Component: total_osmotic_pressure_of_tissue_gel

Component: total_tissue_pressure

Component: interstial_free_fluid_pressure

Component: interstitial_solid_tissue_pressure

Component: lymph_flow

Component: interstitial_gel_volume

Component: interstitial_free_fluid_volume

Component: parameter_values