Model Mathematics

SHbO2 = \frac{KHbO2 O2}{1.0 + KHbO2 O2}

SHbCO2 = \frac{KHbCO2 CO2}{1.0 + KHbCO2 CO2}

KHbO2 = \frac{K4 (K3 CO2 (1.0 + \frac{K3_}{Hrbc}) + 1.0 + \frac{Hrbc}{K6_})}{K2 CO2 (1.0 + \frac{K2_}{Hrbc}) + 1.0 + \frac{Hrbc}{K5_}}

KHbCO2 = \frac{K2 (1.0 + \frac{K2_}{Hrbc}) + K3 K4 (1.0 + \frac{K3_}{Hrbc}) O2}{1.0 + \frac{Hrbc}{K5_} + K4 (1.0 + \frac{Hrbc}{K6_}) O2}

K4 = K4_{(\frac{O2}{O2_S})}^{n0} {(\frac{Hrbc}{H_S})}^{- n1} {(\frac{CO2}{CO2_S})}^{- n2}

O2 = alpha_O2 PO2

CO2 = alpha_CO2 PCO2

alpha_O2 = ((1.37 - (0.0137 (T - 37.0))) + 0.00058 {(T - 37.0)}^{2.0}) \frac{1E-6}{Wpl}

alpha_CO2 = ((3.07 - (0.057 (T - 37.0))) + 0.002 {(T - 37.0)}^{2.0}) \frac{1E-5}{Wpl}

Hpl = {10.0}^{- pHpl} Hrbc = \frac{Hpl}{Rrbc}