Oxygen is consumed in body tissues or by cells in vitro at a rate that is...
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Oxygen is consumed in body tissues or by cells in vitro at a rate that is nearly independent of the O₂ concentration. As a model for either a small tissue region without blood vessels or a spher- oidal aggregate of isolated cells, consider steady O₂ diffusion in a sphere of radius ro that consists of tightly packed cells. Because cell membranes offer negligible resistance to O₂ diffusion, the sphere may be viewed as a homogeneous region in which O₂ is consumed at a constant volumetric rate ko. The O₂ concentration at the edge of the sphere is Co. (a) Determine the O₂ concentration profile C(r), both when O₂ is present throughout the sphere and when there is an anoxic core of radius re. Show how to predict the value of rc. (b) Oxygen consumption and diffusivity values representative of mammalian cells are ko = 30 μM/s and D = 2 × 10⁹ m² s ¹. What is the maximum radius ro that will be fully oxygenated if Co= 50 μM? What radius will be oxygenated if Co = 200 μM? (The lower value of Co is representative of body tissues and the higher one is approximately that for cells in contact with air.) Oxygen is consumed in body tissues or by cells in vitro at a rate that is nearly independent of the O₂ concentration. As a model for either a small tissue region without blood vessels or a spher- oidal aggregate of isolated cells, consider steady O₂ diffusion in a sphere of radius ro that consists of tightly packed cells. Because cell membranes offer negligible resistance to O₂ diffusion, the sphere may be viewed as a homogeneous region in which O₂ is consumed at a constant volumetric rate ko. The O₂ concentration at the edge of the sphere is Co. (a) Determine the O₂ concentration profile C(r), both when O₂ is present throughout the sphere and when there is an anoxic core of radius re. Show how to predict the value of rc. (b) Oxygen consumption and diffusivity values representative of mammalian cells are ko = 30 μM/s and D = 2 × 10⁹ m² s ¹. What is the maximum radius ro that will be fully oxygenated if Co= 50 μM? What radius will be oxygenated if Co = 200 μM? (The lower value of Co is representative of body tissues and the higher one is approximately that for cells in contact with air.)
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a Deter mine the O 2 concentration profile C r both when O 2 is present throughout the sphere and when there is an an oxic core of radius rc Show how to predict the value of rc ANS WER The O 2 concent... View the full answer
Related Book For
Fundamentals Of Momentum Heat And Mass Transfer
ISBN: 9781118947463
6th Edition
Authors: James Welty, Gregory L. Rorrer, David G. Foster
Posted Date:
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