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