Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 47, pp. 1-12.

Title: Well-posedness and asynchronous exponential growth
       of solutions of a two-phase cell division model
       
Authors: Meng Bai  (Sun Yat-Sen Univ., Guangzhou, Guangdong, China)
         Shangbin Cui (Sun Yat-Sen Univ., Guangzhou, Guangdong, China)

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 06, 2010.
Math Subject Classifications: 35L02, 35P99.
Key Words: Cell division model; two-phase; well-posedness;
           asynchronous exponential growth.