fitzhugh-nagumo
Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons
... The mean-field description has also deep theoretical implications in neuroscience. Indeed, it points towards the fact that neurons encode their responses to stimuli through probability distributions. This type of coding ...
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Travelling Waves for spatially discrete Systems of FitzHugh-Nagumo Type with periodic Coefficients
... It turns out that electrical signals can only reach feasible speeds when traveling through nerve fibers that are insulated by a myelin coating. Such coatings are known to admit regularly spaced gaps at the nodes of ...
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Resonant activation in single and coupled stochastic FitzHugh Nagumo elements
... stochastic FitzHugh-Nagumo (FHN) model in the presence of weak periodic forcing with the aim of shedding new light on the response of neurons to an external signal in the presence of ...
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Existence and upper semicontinuity of attractors for non autonomous stochastic lattice FitzHugh Nagumo systems in weighted spaces
... lattice FitzHugh-Nagumo system is used to stimulate the propagation of action po- tentials in myelinated nerve axons (see ...lattice FitzHugh- Nagumo system has been investigated in [, , ...
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Synchronization and control of a network of coupled Reaction-Diffusion systems of generalized FitzHugh-Nagumo type*
... where F is a cubic function with positive leading coefficient, z constant, and a, b, c > 0, is a simplification of the well known Hodgkin-Huxley model describing the propagation of action potential in neurons, see for ...
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Clarification and Complement to “Mean-Field Description and Propagation of Chaos in Networks of Hodgkin–Huxley and FitzHugh–Nagumo Neurons”
... This note restricts the neuron model to the much used variants of the FitzHugh– Nagumo and Hodgkin–Huxley models. Our objective is two-fold: first, we discuss a modeling issue on the diffusion coefficients ...
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An Innovative Solutions for the Generalized FitzHugh Nagumo Equation by Using the Generalized (G'/G) Expansion Method
... -expansion method to solve the generalized FitzHugh-Nagumo equation. The performance of this method is reliable, simple and gives many new solutions, its also standard and computerizable method which ...
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FPGA in the loop co simulation of reentrant arrhythmia mechanism in One Dimensional (1D) ring shaped based on FitzHugh Nagumo Model
... Abstract— This paper presents the simulation of reentrant excitation-conduction of cardiac cells realized by coupling 80 active circuits in one dimensional (1D) ring-shaped based on FitzHugh-Nagumo (FHN) ...
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An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations
... the Fitzhugh-Nagumo equation with time-dependent coefficients, Applied Mathematical Modelling, 37(6) (2013), ...the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function ...
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An efficient numerical approach to solve the space fractional FitzHugh–Nagumo model
... An efficient linearized numerical scheme is constructed to solve the space fractional FitzHugh–Nagumo equation. The numerical scheme is proved to be stable. Numerical examples show that the proposed scheme is ...
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Solitonic conduction of electrotonic signals in neuronal branchlets with polarized microstructure
... Oxford University Press, New York (1999). Soliton regimes in the FitzHugh-Nagumo model: reflection of the colliding pulses of excitation. Theory of wave propagation in nervous system-an[r] ...
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Boundary value problems for strongly nonlinear equations under a Wintner-Nagumo growth condition
... The following example shows an equation governed by a differential operator of the type considered in [10] and [8], and with a right-hand side which satisfies condition (11), but not other Nagumo-type growth ...
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Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition
... pending on the derivative, f (t, u). To our knowledge, De Coster [] was the first to obtain multiplicity results for this problem with the Dirichlet boundary condition. Ben-Naoum and De Coster [] considered the case ...
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A communication program for the Comprehensive Regional Development Plan
... Stuart Denslow Executive Director Genesee/Finger Lakes Regional Planning Board 47 South Fitzhugh Street Rochester, New York 14614 Proposal for Communications Program Regional Development[r] ...
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Exploring the Association between Network, Cognitive, Structural Social Capital and the Risk of Clinical Depression in Taiwan
... Fitzhugh Brundage (Chapel Hill: The University of North Carolina Press, 2000) 86; John M Bateman, A Sketch of the History of the Governor’s Guards of Columbia, S.C.. They must have h[r] ...
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Stochastic travelling waves driven by one dimensional Wiener processes
... combined drift term ( ¯ f (u)) rather than each individual component making up the revised drift term (f(u) and g(u)g ′ (u)). As such, this thesis can be considered to be concerned with the Itˆ o form of the equation and ...
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Commencement '87
... Naylor Fitzhugh, project consultant and former vice presi dent for F\?psi-Cola Company, received the honorary doctor of laws degree; Lois Mailou Jones Pierre-Noel, widely ac claimed artist and professor at ...
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Complex Wave Solutions to Mathematical Biology Models II: Two Dimensional Fisher and Nagumo Equations
... We extended the usage of the expansion method based on Sine-Gordon equation to the two dimensional Fisher equation. The relation between the trigonometric and hyperbolic functions are derived from the Sine-Gordon ...
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Nagumo theorems of third-order singular nonlinear boundary value problems
... is investigated in article []. For two-point BVPs, Yao and Feng employed the upper and lower solution method to prove the existence of solutions for a kind of third-order non- linear differential equations []. For a ...
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