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ProblemSet4.pdf - Winter 2015 BME 121 Quantitative...

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Winter 2015BME 121Quantitative Physiology: Organ Transport SystemsProblem Set 4Due Thursday March 12th in lecture11.Textbook Problem Set 5.3, Problem 3, page 54912. Textbook Problem Set 5.3, Problem 4, page 549
Winter 201513.Modeling the hydraulic conductivity of a capillaryIn lecture we discussed Starling’s Law, which related capillary filtration flow rate (Jtot) tothe effective pressure difference (both hydrostatic and osmotic) by means of the factor LpS. Togain a better understanding of what the hydraulic conductivity (Lp) physically represents, let’smodel the intercellular clefts as cylindrical pores (tubes) through which a laminar fluid passes.(A)Derive an equation for Lpassuming that the resistance through a single intercellular cleftis the same as the resistance to laminar flow through a pipe, and that there are N clefts.Hint: remember that Lpis describing the net conductance of all clefts.(B)Before calculating Lp, the equation from part A can be simplified by relating the surfacearea of all clefts (N*surface area of a single pore) to the total surface area of the

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