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Bioprocess- fourth 1 h lecture

Bioprocess- fourth 1 h lecture - Cell Growth Learning...

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Cell Growth
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Learning outcomes of the lecture…. - Demonstrate an understanding of the kinetics of microbial growth ( Monod Kinetics , Product Inhibition and Cell Death ) and apply it to biological processes. - Demonstrate an understanding of the following concepts: Doubling Time and Yield Coefficients and apply them to biological processes.
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Cell Growth While many laws exist for cell growth rate of new cells, that is, Substrate + Cells → More Cells + Product The most commonly used expression is the Monod equation for exponential growth phase : r G = μ C C where μ is called the specific growth rate, s -1 . Cell growth (accumulation of cell mass C C , g/dm 3 ) is a first order autocatalytic (more cells you have, the greater the growth rate, r G , g/dm 3 .s) process. The catalyst is a product of the reaction!
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In unit volume, the rate of change of C C in a batch system is then given by: which, integrated between limits C C = C C0 at t = 0 and C C = C C at t = t, gives ln C/C C0 = μ t or C = C C0 exp ( μ t) Concentration vs Time Relationship dC C ───── = r G = μ C C dt
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Growth becomes limited by exhaustion of a ‘limiting nutrient’ – could be the Carbon source , Nitrogen source, Oxygen, anything! The limitation can be empirically described by a saturation type of expression, described as Monod kinetics : Specific Cell Growth Rate μ max C S μ =
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