3. Effect of Pressure: Oxygen transfer has been increased by augmenting the oxygen partial pressure, Po₂, as may be easi

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3 Effect Of Pressure Oxygen Transfer Has Been Increased By Augmenting The Oxygen Partial Pressure Po As May Be Easi 1 (220.4 KiB) Viewed 21 times

3. Effect of Pressure: Oxygen transfer has been increased by augmenting the oxygen partial pressure, Po₂, as may be easily done by the use of pure oxygen in place of air feeds. Operation at higher pressures has also been proposed. Unfortunately, cell cultures may exhibit oxygen inhibition due, for example, to the formation of excess active forms of oxygen within the cell which may damage functions which require a local reducing atmosphere. a. Assume that growth dependence on oxygen can be represented as: μ Umax C Ko₂ + C₁ + c²/Ki or μ C Mmax 1+c+yc² where y = Ko₂/K₁ and c = c₁/K₁₂. Show that the maximum specific growth rate occurs at c = y 1/2. b. Using the equation in question 2-part c, modified to include the oxygen inhibition term above, derive an equation that will predict what oxygen partial pressure, Po₂, should be used at any x value to maintain maximum cell growth. Since μmax is constant, give also the required time dependence for po₂ (t).