A cell growth model revisited
| dc.contributor.author | Derfel, G | |
| dc.contributor.author | Van Brunt, B | |
| dc.contributor.author | Wake, Graeme C. | |
| dc.date.accessioned | 2012-06-12T04:36:41Z | |
| dc.date.accessioned | 2016-03-06T22:26:45Z | |
| dc.date.accessioned | 2016-09-07T13:58:09Z | |
| dc.date.available | 2012-06-12T04:36:41Z | |
| dc.date.available | 2016-03-06T22:26:45Z | |
| dc.date.available | 2016-09-07T13:58:09Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | In this paper a stochastic model for the simultaneous growth and division of a cell-population cohort structured by size is formulated. This probabilistic approach gives straightforward proof of the existence of the steady-size distribution and a simple derivation of the functional-differential equation for it. The latter one is the celebrated pantograph equation (of advanced type). This firmly establishes the existence of the steady-size distribution and gives a form for it in terms of a sequence of probability distribution functions. Also it shows that the pantograph equation is a key equation for other situations where there is a distinct stochastic framework. | en |
| dc.identifier.citation | Derfel, G., Van Brunt, B. & Wake G. (2012). A cell growth model revisited. Functional Differential Equations 19 (1/2) 71-81 | en |
| dc.identifier.harvested | Massey_Dark | |
| dc.identifier.harvested | Massey_Dark | |
| dc.identifier.issn | 0793-1786 | |
| dc.identifier.uri | http://hdl.handle.net/10179/9757 | |
| dc.language.iso | en | en |
| dc.publisher | Research Institute, College of Judea and Samaria, | en |
| dc.subject | Steady-size distribution | en |
| dc.subject | Asymptotic behaviour | en |
| dc.subject | Poisson process | en |
| dc.subject | Pantograph equation | en |
| dc.title | A cell growth model revisited | en |
| dc.type | Article | en |
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