Fluctuations in biosystems

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Guest Editor
Prof. Eun-jin Kim
School of Mathematics and Statistics, University of Sheffield, South Yorkshire, UK
Email: E.Kim@sheffield.ac.uk

Manuscript Topics
Fluctuations are ubiquitous and play a crucial role in the evolution in many systems including biosystems. For example, in nonlinear systems, they can change the stability by making a stable equilibrium point unstable (or vice versa) or by inducing a stochastic resonance, while in a linear system, it can also increase the linear growth rate. In fluids, the quadratic interaction of small-scale fluctuations affects the evolution of a large-scale mean field, leading to the formation of large-scale coherent structures. Given the uncertainty due to fluctuations, it is crucial to employ a statistical methodology such as a Probability Density Function (PDF). The change in the stability of a nonlinear system could then be inferred from a stationary PDF such as the transition from a unimodal to bimodal PDF or vice versa.

To understand fast growing biological data on fluctuations, a mathematical modelling has become pivotal. This special issue is devoted to new developments in mathematical modelling of fluctuating phenomena in biosystems. Potential topics include but are not limited to:
• Stochastic noise
• Periodic noise
• Stability
• Nonlinear dynamics
• Attractor/limit cycle
• Statistical mechanics
• Fokker-Planck equation
• Probability density function
• Homeostasis

Paper Submission
All manuscripts will be peer-reviewed before their acceptance for publication.
The deadline for manuscript submission is March 31, 2020.

Instructions for authors
Please submit your manuscript to online submission system

Guilherme Giovanini, Alan U. Sabino, Luciana R. C. Barros, Alexandre F. Ramos
+ Abstract     + HTML     + PDF(939 KB)
Eun-jin Kim, Massimo Capoccia
+ Abstract     + HTML     + PDF(2466 KB)
Thu-Ha Pham-Thi, Quang-Hai luong, Van-Dung Nguyen, Duc-Tan Tran, Huu-Tue Huynh
+ Abstract     + HTML     + PDF(808 KB)
Qian Ding, Jian Liu, Zhiming Guo
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Christophe Minetti, Carlo S. Iorio, Hatim Machrafi
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