Electron. J. Diff. Equ., Vol. 2010(2010), No. 47, pp. 1-12.

Well-posedness and asynchronous exponential growth of solutions of a two-phase cell division model

Meng Bai, Shangbin Cui

Abstract:
In this article we study a two-phase cell division model. The cells of the two different phases have different growth rates. We mainly consider the model of equal mitosis. By using the semigroup theory, we prove that this model is well-posed in suitable function spaces and its solutions have the property of asynchronous exponential growth as time approaches infinity. The corresponding model of asymmetric mitosis is also studied and similar results are obtained.

Submitted March 3, 2010. Published April 6, 2010.
Math Subject Classifications: 35L02, 35P99.
Key Words: Cell division model; two-phase; well-posedness; asynchronous exponential growth.

Show me the PDF file (225 KB), TEX file, and other files for this article.

Meng Bai
Department of Mathematics, Sun Yat-Sen University
Guangzhou, Guangdong 510275, China
email: baimeng.clare@yahoo.com.cn
  Shangbin Cui
Department of Mathematics, Sun Yat-Sen University
Guangzhou, Guangdong 510275, China
email: cuisb3@yahoo.com.cn

Return to the EJDE web page