𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Transition Probability Cell Cycle Model Part I—Balanced Growth

✍ Scribed by Scott J. Cain; Pao C. Chau

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
350 KB
Volume
185
Category
Article
ISSN
0022-5193

No coin nor oath required. For personal study only.

✦ Synopsis

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 solutions for both the population and the fraction of labeled mitosis (FLM) curves are derived under balanced growth conditions. Contributions toward cell cycle variability by single and double random transitions are considered. A double transition model provides a more realistic description of the cell cycle time distribution. For gross cell population behavior, a single transition from the A-state to the B-phase may provide acceptable approximation. In spite of the simplification, the single transition Smith & Martin model is shown to describe the gradual asynchronization of a cell population.

📜 SIMILAR VOLUMES

Transition Probability Cell Cycle Model.
Transition Probability Cell Cycle Model. Part II—Nonbalanced Growth
✍ Scott J. Cain; Pao C. Chau 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 346 KB

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

Transition probability cell cycle model
Transition probability cell cycle model with product formation
✍ Scott J. Cain; Pao C. Chau 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 253 KB

A cell cycle population model based on the transition probability model of Smith and Martin (1973) has been extended to include product synthesis and export. The model handles two probable mechanisms. In the direct production model, the product is the protein. In the transcription model, the product

A transition probability cell cycle mode
A transition probability cell cycle model simulation of bivariate DNA/bromodeoxyuridine distributions
✍ Scott J. Cain; Pao C. Chau 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 164 KB 👁 1 views

The transition probability cell cycle model is extended to describe both cell cycle variability and incorporation of bromodeoxyuridine (BrdUrd). The model can simulate BrdUrd uptake in both pulsechase and continuous-labeling experiments. With the use of a random transition, variability due to cell c

Probability of transition into cell cycl
Probability of transition into cell cycle does not depend on growth factor concentration
✍ Ralph M. Böhmer; Lynette D. Beattie 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 420 KB 👁 1 views

When quiescent cells in monolayer culture are stimulated to proliferate with growth factor, the entry into S-phase or mitosis appears to follow first-order kinetics, with a probability to enter the cell cycle that depends on growth factor concentration (Smith and Martin, 1973). Suboptimal growth fac