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pro vyhledávání: '"Torres, Nicolas A"'
Autor:
Torres, Nicolas Jaramillo
There is an action of $\mathbb{Z}/2$ on the category of Soergel Bimodules of type $A_1 \times A_1$ induced by the nontrivial automorphism of its Dynkin diagram. We give an isotopy presentation by local generators and relations of the equivariantizati
Externí odkaz:
http://arxiv.org/abs/2405.13982
Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks
The elapsed time equation is an age-structured model that describes dynamics of interconnected spiking neurons through the elapsed time since the last discharge, leading to many interesting questions on the evolution of the system from a mathematical
Externí odkaz:
http://arxiv.org/abs/2310.02068
We introduce and study a new model for the progression of Alzheimer's disease incorporating the interactions of A$\beta$-monomers, oligomers, microglial cells and interleukins with neurons through different mechanisms such as protein polymerization,
Externí odkaz:
http://arxiv.org/abs/2212.06114
We introduce and study an extension of the classical elapsed time equation in the context of neuron populations that are described by the elapsed time since the last discharge, i.e., the refractory period. In this extension we incorporate the elapsed
Externí odkaz:
http://arxiv.org/abs/2108.10577
The elapsed time model has been widely studied in the context of mathematical neuroscience with many open questions left. The model consists of an age-structured equation that describes the dynamics of interacting neurons structured by the elapsed ti
Externí odkaz:
http://arxiv.org/abs/2103.10737
Autor:
Salort, Delphine, Torres, Nicolas
We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described via the elapsed time mode
Externí odkaz:
http://arxiv.org/abs/2003.13247
Akademický článek
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Publikováno v:
In Journal of Development Economics September 2023 164
Akademický článek
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