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Abstract and Applied Analysis
Volume 2014, Article ID 840891, 7 pages
Research Article

The Space-Jump Model of the Movement of Tumor Cells and Healthy Cells

1Department of Mathematical Sciences, National Chengchi University, No. 64, Section 2, ZhipNan Road, Wenshan District, Taipei 11605, Taiwan
2Department of Aerospace and Systems Engineering, Feng Chia University, No. 100 Wenhwa Road, Seatwen, Taichung 40724, Taiwan

Received 24 January 2014; Accepted 23 March 2014; Published 9 April 2014

Academic Editor: Malay Banerjee

Copyright © 2014 Meng-Rong Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We establish the interaction model of two cell populations following the concept of the random-walk, and assume the cell movement is constrained by space limitation primarily. Furthermore, we analyze the model to obtain the behavior of two cell populations as time is closed to initial state and far into the future.