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20202026
most citedWell-posedness and regularity of solutions to neural field problems with dendritic processing

2 citations · 2 across the 9 of their papers we have counts for

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math.PR2024

Neural Fields and Noise-Induced Patterns in Neurons on Large Disordered Networks

Daniele Avitabile, James MacLaurin

We study pattern formation in class of a large-dimensional neural networks posed on random graphs and subject to spatio-temporal stochastic forcing. Under generic conditions on cou…

math.AP2024★ 2 cited

Well-posedness and regularity of solutions to neural field problems with dendritic processing

Daniele Avitabile, Nikolai V. Chemetov, Pedro M. Lima

We study solutions to a recently proposed neural field model in which dendrites are modelled as a continuum of vertical fibres stemming from a somatic layer. Since voltage propagat…