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Recent Research from University of Arizona Highlight Findings in Information Technology (Dynamical properties of a two-gene network with hysteresis)

July 22, 2014

By a News Reporter-Staff News Editor at Information Technology Newsweekly -- Investigators publish new report on Information Technology. According to news reporting out of Tucson, Arizona, by VerticalNews editors, research stated, "Motivated by the recent development of advanced experimental techniques in molecular biology, this paper focuses on the study of the dynamical properties of a two-gene regulatory network. A mathematical model for a two-gene regulatory network is derived and several of their properties are analyzed."

Our news journalists obtained a quote from the research from the University of Arizona, "Due to the presence of mixed continuous/discrete dynamics and hysteresis, we employ hybrid systems models to capture the dynamics of the system. The proposed model incorporates binary hysteresis with different thresholds capturing the interaction between the genes. We analyze properties of the solutions and asymptotic stability of equilibria in the system as a function of their parameters. As a difference to previous efforts employing piecewise-linear models, the analysis of our hybrid system model reveals the presence of limit cycles for a certain range of parameters, a behavior that is associated with the presence of hysteresis. The set of points defining the limit cycle is characterized and its asymptotic stability properties are studied. Furthermore, we determine conditions under which the stability properties of the limit cycle are robust to changes of parameters."

According to the news editors, the research concluded: "Numerical simulations are presented to illustrate the findings."

For more information on this research see: Dynamical properties of a two-gene network with hysteresis. Information and Computation, 2014;236():102-121. Information and Computation can be contacted at: Academic Press Inc Elsevier Science, 525 B St, Ste 1900, San Diego, CA 92101-4495, USA. (Elsevier -; Information and Computation -

Our news journalists report that additional information may be obtained by contacting Q. Shu, University of Arizona, Dept. of Aerosp & Mech Engn, Tucson, AZ 85721, United States.

Keywords for this news article include: Tucson, Arizona, United States, Information Technology, North and Central America

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Source: Information Technology Newsweekly

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