Analysis of a two-phase cell division model |
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| Authors: | Meng Bai Shangbin Cui |
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| Institution: | a School of Mathematics and Information Sciences, Zhaoqing University, Zhaoqing, Guangdong 526061, People’s Republic of China
b Department of Mathematics, Sun Yat-Sen University, Guangzhou, Guangdong 510275, People’s Republic of China |
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| Abstract: | In this paper we mainly study an equal mitosis two-phase cell division model. By using the C0-semigroup theory, we prove that this model is the well-posed in L10, 1] × L10, 1], and exhibits asynchronous exponential growth phenomenon as time goes to infinity. We also give a comparison between this two-phase model with the classical one-phase model. Finally, we briefly study the asymmetric two-phase cell division model, and show that similar results hold for it. |
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| Keywords: | Cell division model Equal mitosis Well-posedness Asynchronous exponential growth |
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