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ProblemSet3.pdf - Winter 2018 BME 121 Quantitative...

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Winter 2018BME 121Quantitative Physiology: Organ Transport SystemsProblem Set 3Due Tuesday March 6th at the beginning of lecture7. Estimating pulmonary blood flow rate from perfusionIn class we derived an expression that described how the partial pressure of a gas inthe pulmonary capillary varies as a function of axial position z, or Pc(z). This expression wasuseful to quantify the efficiency of O2and CO2gas exchange, which we then determined wereboth perfusion-limited. This analysis can also be used to calculate the pulmonary flow rate (Qp)if gas exchange properties are known. Before doing this however, we can first try to asimplified approach by assuming that the capillary is well-mixed (not true, but you will find thisgreatly simplifies calculations). The well-mixed assumption results in a steady state massbalance, and generally is referred to as the Fick method.(A)Derive an equation for Pc,O2using the Fick method. Substitute the lung diffusingcapacity (DL

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