Mixed-mode oscillations and interspike interval statistics in the stochastic FitzHugh-Nagumo model [PDF]
We study the stochastic FitzHugh-Nagumo equations, modelling the dynamics of neuronal action potentials, in parameter regimes characterised by mixed-mode oscillations.
Birkhoff G +11 more
core +2 more sources
Asymptotics of conduction velocity restitution in models of electrical excitation in the heart [PDF]
We extend a non-Tikhonov asymptotic embedding, proposed earlier, for calculation of conduction velocity restitution curves in ionic models of cardiac excitability.
Biktashev, V.N., Simitev, R.D.
core +2 more sources
Large population asymptotics for interacting diffusions in a quenched random environment [PDF]
20 pages. Proceedings for the PSPDE-II conference (Braga, dec 2013).International audienceWe review some recent results on large population behavior of interacting diffusions in a random environment.
Luçon, Eric
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Higher order functional boundary value problems without monotone assumptions [PDF]
In this paper, given a L1-Carathéodory function f, it is a considered the functional higher order equation, together with nonlinear functional boundary conditions, for.
Fialho, João, Minhós, Feliz
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Mean field limit for disordered diffusions with singular interactions
Motivated by considerations from neuroscience (macroscopic behavior of large ensembles of interacting neurons), we consider a population of mean field interacting diffusions in $\mathbf {R}^m$ in the presence of a random environment and with spatial ...
Luçon, Eric, Stannat, Wilhelm
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Existence of solution for functional coupled systems with full nonlinear terms and applications to coupled a mass-spring model [PDF]
In this paper we consider some boundary value problems composed by coupled systems of second order differential equations with full nonlinearities and general functional boundary conditions verifying some monotone assumptions.
de Sousa, Robert, Minhós, Feliz
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THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS [PDF]
In this the authors consider a nonlinear fourth order fully equation coupled with the Lidstone boundary conditions, We discuss how di erent de nitions of lower and upper solutions can generalize existence and location results for boundary value problems ...
Fialho, João, Minhós, Feliz
core
ABSTRACT Objectives To evaluate the prevalence of European Association of Urology‐defined combination and platinum eligibility at first‐line treatment initiation, and to assess their impact on conventional treatment sequence and overall survival in a real‐world Japanese cohort. Methods We retrospectively analyzed 148 patients with metastatic urothelial
Takashi Kawahara +10 more
wiley +1 more source
Are physiological oscillations physiological?
Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
wiley +1 more source
Review of Memristors for In‐Memory Computing and Spiking Neural Networks
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari +2 more
wiley +1 more source

