A cell cycle model based on the concept of a transition probability first proposed by Smith & Martin has been implemented as a differential equation model. The probabilistic A-state is modeled as a lumped parameter while the deterministic B-phase is modeled as a distributed parameter, and analytical
Transition Probability Cell Cycle Model. Part II—Nonbalanced Growth
✍ Scribed by Scott J. Cain; Pao C. Chau
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 346 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0022-5193
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✦ Synopsis
A cell cycle model based on the transition probability model of Smith & Martin has been extended to non-balanced growth conditions in batch cultures. The model considers transition to a quiescent cell fraction, variable maturity-velocity, exogenous maintenance, and cell death. This extended model is capable of describing a large range of cell culture behavior which may not conform to Monod kinetics. The use of a constant quiescent transition allows the population to enter a stationary phase, but with a very large A-state to B-phase cell ratio. A substrate dependent quiescent transition helps to reduce this ratio while maintaining the general features of the population growth curves. A model with substrate dependent variable maturity-velocity qualitatively is similar to the Monod equation, while providing additional information on population distribution. The combination of quiescent transition and a substrate dependent maturity-velocity is also examined, and the resulting model is shown to capture the essence of both features.
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