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Cells Growth in Continuous Culture Ideal Chemostat. When q p =0 , k d ≈0, X 0 =0, Monod equation is applied, at steady state , the dilution rate that maximizes cell mass Productivity (DX) is obtained by. Intrinsic coefficient. Cells Growth in Continuous Culture Ideal Chemostat.
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Cells Growth in Continuous CultureIdeal Chemostat When qp=0, kd ≈0, X0=0,Monod equation is applied, at steady state, the dilution rate that maximizes cell mass Productivity (DX) is obtained by Intrinsic coefficient
Cells Growth in Continuous CultureIdeal Chemostat When endogenous metabolism (kd > 0) is considered, Cell mass balance yields At steady state,
Cells Growth in Continuous CultureIdeal Chemostat Endogenous metabolism (kd > 0) is considered substrate mass balance yields (qp=0) At steady state, Since then
Cells Growth in Continuous CultureIdeal Chemostat Endogenous metabolism (kd > 0, qp=0) is considered To determine the intrinsic yield through the apparent yield Re-arranging the above equation yields
Cells Growth in Continuous CultureIdeal Chemostat Endogenous metabolism (kd > 0, qp=0) is considered
Cells Growth in Continuous CultureIdeal Chemostat Endogenous metabolism (kd > 0, qp=0) is considered
Cells Growth in Continuous CultureIdeal Chemostat Endogenous metabolism (kd > 0, qp=0) is considered To find out the relationship of D, S and X, Cell mass balance Substrate mass balance
Cells Growth in Continuous CultureIdeal Chemostat Endogenous metabolism (kd > 0, qp=0) is considered Equation summary Productivities: DP, DX
Cells Growth in Continuous CultureIdeal Chemostat Endogenous metabolism (kd > 0, qp > 0) is considered
Cells Growth in Continuous CultureIdeal Chemostat Endogenous metabolism (kd > 0, qp > 0) is considered
Cells Growth in Continuous CultureIdeal Chemostat Endogenous metabolism (kd > 0, qp > 0) is considered Equation summary: Productivities: DP, DX
Summary of Growth Kinetics - Autocatalytic reaction: The rate of growth is directly related to cell concentration Net specific growth rate (1/time): - Cell concentration determination - Growth patterns and kinetics in batch culture - lag phase - logrithmic or exponential growth phase: - deceleration phase - stationary phase: endogenous metabolism - death phase
Summary of Growth Kinetics • Effect of factors: - Dissolved oxygen: - Temperature, pH, ionic strength, substrate concentration. - Heat evolution:
Summary of Growth Kinetics - Monod equation: • Cell growth in continuous culture: • qp=0, kd ≈0, X0=0,Monod equation is applied: Productivity: DX
Summary of Growth Kinetics • Cell growth in continuous culture: • qp=0, kd >0, X0=0,Monod equation is applied: Productivities: DP, DX
Summary of Growth Kinetics • Cell growth in continuous culture: • qp>0, kd >0, X0=0,Monod equation is applied: Productivities: DP, DX