You are here: Home / Exposures / Guyton, Pulmonary Oxygen Uptake, 2008 / Description of Guyton pulmonary oxygen uptake module

Model Mathematics

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Component: input_values

Component: state_variables

Component: parameter_values

Component: environment

Component: pulmonary_O2_uptake

Component: total_O2_utilization

O2UTIL = DOB + RMO

Component: alveolar_ventilation

ALVENT = O2UTIL VNTSTM 0.026667 O2VTS2 O2VAD2

Component: alveolar_PO2

PO2ALV = PO2AMB - (\frac{\frac{O2UTIL}{ALVENT}}{0.761})

Component: respiratory_O2_diffusion_into_capillaries

RSPDFC = \frac{PL2}{VPTISS + VPF} O2DFS = (PO2ALV - PO2ART) RSPDFC

Component: O2_volume_of_arterial_blood

DOVA = \frac{O2DFS - O2UTIL}{QRO 1.0} \frac{d}{d time} (OVA) = DOVA

Component: arterial_PO2

OSA = \frac{\frac{OVA}{HM}}{5.25} PO2ART = \{\begin{matrix} 114 + (OSA - 1) 6667 if OSA > 1 \\ 74 + (OSA - 0.936) 625 if OSA > 0.936 \land OSA ≦ 1 \\ 46 + (OSA - 0.8) 205.882 if OSA > 0.8 \land OSA ≦ 0.936 \\ OSA 57.5 otherwise \end{matrix}

Component: chemoreceptor_adaptation_of_alveolar_ventilation

Component: acute_chemoreceptor_adaptation_of_alveolar_ventilation

O2VTST1 = \frac{PO2ART - 67}{30} O2VTST = \{\begin{matrix} 1 if O2VTST1 > 1 \\ 0.6 if O2VTST1 < 0.6 \\ O2VTST1 otherwise \end{matrix} O2VTS2 = \frac{1}{O2VTST}

Component: progressive_chemoreceptor_adaptation_of_alveolar_ventilation

DO2VAD = ((O2VTS2 - 1) 3 - O2VAD1) 0.0005 \frac{d}{d time} (O2VAD1) = DO2VAD O2VAD2 = O2VAD1 + 1

Component: state_variables

Component: parameter_values

Source: Derived from workspace Guyton, Pulmonary, Oxygen, Uptake, 2008 at changeset 90711ce328b4.

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