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of 310
pro vyhledávání: '"92C20"'
The first-passage time (FPT) is a fundamental concept in stochastic processes, representing the time it takes for a process to reach a specified threshold for the first time. Often, considering a time-dependent threshold is essential for accurately m
Externí odkaz:
http://arxiv.org/abs/2412.13060
Autor:
Ballús, Andreu
The brain-mesh model introduces a novel three-layered architecture that integrates local and macro-regional connectivity with an underlying, mesh-inspired network layer. This foundational mesh layer, based on metallic mesh structures, spans the entir
Externí odkaz:
http://arxiv.org/abs/2412.12106
Neural field equations with time-periodic external inputs and some applications to visual processing
Autor:
Bolelli, Maria Virginia, Prandi, Dario
The aim of this work is to present a mathematical framework for the study of flickering inputs in visual processing tasks. When combined with geometric patterns, these inputs influence and induce interesting psychophysical phenomena, such as the MacK
Externí odkaz:
http://arxiv.org/abs/2407.17294
Autor:
Nishiyama, Yutaka
Hermann discovered the grid illusion in 1870, but its cause has remained a mystery for more than 150 years. In 1960, Baumgartner proposed a hypothesis for the illusion based on neural receptive fields, but Geier presented a counterexample in 2008. In
Externí odkaz:
http://arxiv.org/abs/2408.00782
In this paper, we are aiming to propose a novel mathematical model that studies the dynamics of synaptic damage in terms of concentrations of toxic neuropeptides/neurotransmitters during neurotransmission processes. Our primary objective is to employ
Externí odkaz:
http://arxiv.org/abs/2406.06726
Understanding how genetically encoded rules drive and guide complex neuronal growth processes is essential to comprehending the brain's architecture, and agent-based models (ABMs) offer a powerful simulation approach to further develop this understan
Externí odkaz:
http://arxiv.org/abs/2405.13905
We introduce an efficient discretization of a novel fractional-order adaptive exponential (FrAdEx) integrate-and-fire model, which is used to study the fractional-order dynamics of neuronal activities. The discretization is based on extension of L1-t
Externí odkaz:
http://arxiv.org/abs/2404.13554
The activity and dynamics of excitable cells are fundamentally regulated and moderated by extracellular and intracellular ion concentrations and their electric potentials. The increasing availability of dense reconstructions of excitable tissue at ex
Externí odkaz:
http://arxiv.org/abs/2403.04491
We consider a heterogeneous, globally coupled population of excitatory quadratic integrate-and-fire neurons with excitability adaptation due to a metabolic feedback associated with ketogenic diet, a form of therapy for epilepsy. Bifurcation analysis
Externí odkaz:
http://arxiv.org/abs/2402.04388
This paper focuses on the modeling of experiments conducted by Billock and Tsou [V. A. Billock and B. H. Tsou, Proc. Natl. Acad. Sci. USA, 104 (2007), pp. 8490--8495] using an Amari-type neural field that models the average membrane potential of neur
Externí odkaz:
http://arxiv.org/abs/2401.09108