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Stability of the steady-state size distribution in a model of cell growth and division |
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| Authors: | Kenneth B Hannsgen John J Tyson |
| Institution: | (1) Department of Mathematics, Virginia Polytechnic Institute and State University, 24061 Blacksburg, VA, USA;(2) Department of Biology, Virginia Polytechnic Institute and State University, 24061 Blacksburg, VA, USA |
| Abstract: | The approach to steady-state size distribution is studied for a growing population of cells. The model incorporates cell growth at a linear rate and division into two equal daughters after a random time composed of an exponentially distributed phase and a constant deterministic phase.This work was supported by the National Science Foundation under Grant No. MCS 8300559This work was supported by the National Science Foundation under Grant No. MCS 8301104 |
| Keywords: | Cell growth Cell division Size distribution Stability Balanced growth |
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