A survey is given of branching process type methods in cell kinetics. Some results are given that allow circadian rhythm and do not require complete independence between cells. Some more classical results on balanced exponential growth are given and some comments are made on flow microfluorometry.
KeywordsCircadian Rhythm Cycle Time Mitotic Index Cell Kinetics Growth Fraction
Unable to display preview. Download preview PDF.
- Hopper, J. L. and P. Brockwell. 1978. “A Stochastic Model for Cell Populations with Circadian Rhythms.”Cell Tissue Kinet. 11, 205–225.Google Scholar
- Jagers, P. 1975.Branching Processes with Biological Applications. London: Wiley.Google Scholar
- Jagers, P. and O. Nerman. 1983. “Limit Theorems for Sums Determined by Branching and other Exponentially Growing Processes.”Stoch. Proc. Appl. In press.Google Scholar
- — and K. Norrby. 1974. “Estimation of the Mean and Variance of Cycle Times in Cinémicrographically Recorded Cell Populations during Balanced Exponential Growth.”Cell Tissue Kinet. 7, 201–211.Google Scholar
- Mode, C. J. 1971.Multitype Branching Processes. New York: Elsevier.Google Scholar
- Puck, T. T. 1962. “Cell Accumulation as a Result of a Specific Inhibitor to a Random Culture.”Anim. Cell Newsletter 3, 1–4.Google Scholar
- Valleron, A.-J. and P. M. D. MacDonald (Eds). 1978.Developments in Cell Biology, 2. Mathematics and Cell Kinetics. Amsterdam: Elsevier/North-Holland.Google Scholar