Entrained Collective Rhythms of Multicellular Systems: Partial Impulsive Control Strategy. (9th December 2013)

• Record Type: Journal Article
• Authors: Chen, Lifei; Sun, Yonghui; Yang, Qingli
• Other Names: Cao Jinde Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-12-09
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/175068
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : This paper is concerned with the study of entrained collective rhythms of multicellular systems by using partial impulsive control strategy. The objective is to design an impulsive controller based on only those partially available cell states, so that the entrained collective rhythms are guaranteed for the multicellular systems with cell-to-cell communication mechanism. By using the newly developed impulsive integrodifferential inequality, the sufficient conditions are derived to achieve the entrained collective rhythms of multicellular systems. A synthetic multicellular system with simulation results is finally given to illustrate the usefulness of the developed results.