Title :
Pattern formation in reaction-diffusion model with long-range interaction
Author :
Ogawa, Ken-ichiro ; Miyake, Yoshihiro
Author_Institution :
Dept. of Comput. Intelligence & Syst. Sci., Tokyo Inst. of Technol., Yokohama, Japan
Abstract :
To describe the re-differentiation phenomenon of cancer cells a mathematical model is proposed to study mechanisms of self-organization phenomena of a multicellular system. The model is written by a reaction-diffusion equation with a long-range interaction. Further, we investigate spatial and temporal pattern formation through the mathematical analysis of our model.
Keywords :
cancer; cellular biophysics; multivariable systems; pattern formation; reaction-diffusion systems; autonomous decentralized system; cancer cells; long-range interaction; multicellular system; pattern formation; reaction-diffusion model; self-organization phenomena;
Conference_Titel :
SICE 2003 Annual Conference
Conference_Location :
Fukui, Japan
Print_ISBN :
0-7803-8352-4
