title: Impact of bounded noise on the formation and instability of spiral wave in a 2D Lattice of neurons.
abstract: Spiral waves in the neocortex may provide a spatial framework to organize cortical oscillations, thus help signal communication. However, noise influences spiral wave. Many previous theoretical studies about noise mainly focus on unbounded Gaussian noise, which contradicts that a real physical quantity is always bounded. Furthermore, non-Gaussian noise is also important for dynamical behaviors of excitable media. Nevertheless, there are no results concerning the effect of bounded noise on spiral wave till now. Based on Hodgkin-Huxley neuron model subjected to bounded noise with the form of Asin[ωt + σW(t)], the influences of bounded noise on the formation and instability of spiral wave in a two-dimensional (2D) square lattice of neurons are investigated in detail by separately adjusting the intensity σ, amplitude A, and frequency f of bounded noise. It is found that the increased intensity σ can facilitate the formation of spiral wave while the increased amplitude A tends to destroy spiral wave. Furthermore, frequency of bounded noise has the effect of facilitation or inhibition on pattern synchronization. Interestingly, for the appropriate intensity, amplitude and frequency can separately induce resonance-like phenomenon.
authors.affiliation: Department of Physics, College of Science, Huazhong Agricultural University, Wuhan 430070, China.|Institute of Applied Physics, Huazhong Agricultural University, Wuhan 430070, China.
authors.forename: Yuangen
authors.initials: Y
authors.lastname: Yao
authors.affiliation: Department of Physics, College of Science, Huazhong Agricultural University, Wuhan 430070, China.
authors.forename: Haiyou
authors.initials: H
authors.lastname: Deng
authors.affiliation: Department of Physics, College of Science, Huazhong Agricultural University, Wuhan 430070, China.
authors.forename: Ming
authors.initials: M
authors.lastname: Yi
authors.affiliation: Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China.|NAAM-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O.Box 80203, Jeddah 21589, Saudi Arabia.
authors.forename: Jun
authors.initials: J
authors.lastname: Ma
mesh_terms: D008959:Models, Neurological; D019579:Neocortex / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D009622:Noise