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Nonlinear dynamics of self-oscillating polymer gels

Science china(Technological Sciences) 2010年第7期53卷 1862-1868页

作者： wang pengfei1, zhou jinxiong1, li meie2, xu feng1,3 & lu tianjian1 1 biomedical engineering and biomechanics center, sv laboratory, xi’an jiaotong university, xi’an 710049, china 2 School of Materials Science and engineering, xi’an jiaotong university, xi’an 710049, china 3 HST center for biomedical engineering, Department of Medicine, Brigham and Women’s Hospital, Harvard Medical School, Boston, 510660, USA 1. biomedical engineering and biomechanics center SV Laboratory Xi’an Jiaotong University Xi’an 710049 China2. School of Materials Science and Engineering Xi’an Jiaotong University Xi’an 710049 China3. HST Center for Biomedical Engineering Department of Medicine Brigham and Women’s Hospital Harvard Medical School Boston 510660 USA

Self-oscillating polymer gels driven by Belousov-Zhabotinsky (BZ) chemical reaction are a new class of functional gels that have a wide range of potential applications (e.g., autonomously functioning membranes, actuate artificial muscles). However, the precise control of these gels has been an issue due to limited investigations of the influences of key system parameters on the characteristics of BZ gels. To address this deficiency, we studied the self-oscillating behavior of BZ gels using the nonline-ar dynamics theory and an Oregonator-like model, with focus placed upon the influences of various system parameters. The analysis of the oscillation phase indicated that the dynamic response of BZ gels represents the classical limit cycle oscillation. We then investigated the characteristics of the limit cycle oscillation and quantified the influences of key parameters (i.e., ini-tial reactant concentration, oxidation and reduction rate of catalyst, and response coefficient) on the self-oscillating behavior of BZ gels. The results demonstrated that sustained limit cycle oscillation of BZ gels can be achieved only when these key pa-rameters meet certain requirements, and that the pattern, period and amplitude of the oscillation are significantly influenced by these parameters. The results obtained in this study could enable the controlled self-oscillation of BZ gels system. This has several potential applications such as controlled drug delivery, miniature peristaltic pumps and microactuators.

关键词： Belousov-Zhabotinsky reaction self-oscillating gels numerical simulation limit cycle parameter analysis

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