Publications (37) MARÍA JOSÉ CÁCERES GRANADOS publications

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2026

  1. On the local stability of the elapsed-time model in terms of the transmission delay and interconnection strength

    Journal of Differential Equations, Vol. 466

2025

  1. Comparison Principles and Asymptotic Behavior of Delayed Age-Structured Neuron Models

    Acta Applicandae Mathematicae, Vol. 199, Núm. 1

  2. Corrigendum to “An elapsed time model for strongly coupled inhibitory and excitatory neural networks” [Physica D: Nonlinear Phenomena, 2021, vol. 425, p. 132977] (Physica D: Nonlinear Phenomena (2021) 425, (S0167278921001342), (10.1016/j.physd.2021.132977))

    Physica D: Nonlinear Phenomena

  3. On the Asymptotic Behavior of the NNLIF Neuron Model for General Connectivity Strength

    Communications in Mathematical Physics, Vol. 406, Núm. 5

2024

  1. Sequence of pseudoequilibria describes the long-time behavior of the nonlinear noisy leaky integrate-and-fire model with large delay

    Physical Review E, Vol. 110, Núm. 6

2023

  1. Design, Development, and Evaluationof an Intervention in Termsof Teaching/Learning Practices of Curricular Units of Differential and Integral Calculusin Engineering Degrees

    Proceedings TEEM 2022: Tenth International Conference on Technological Ecosystems for Enhancing Multiculturality (Springer Nature Singapore), pp. 1320-1328

2021

  1. An elapsed time model for strongly coupled inhibitory and excitatory neural networks

    Physica D: Nonlinear Phenomena, Vol. 425

  2. An understanding of the physical solutions and the blow-up phenomenon for Nonlinear Noisy Leaky Integrate and Fire Neuronal Models

    Communications in Computational Physics, Vol. 30, Núm. 3, pp. 820-850

  3. Stop discriminación: evaluación de la aplicación de la Ley 14/2011 de la ciencia en lo referente a la perspectiva de género con propuestas de mejora

    Desigualdades de xénero en tempos de Covid: VII Xornada Universitaria Galega en Xénero

2019

  1. A review about nonlinear noisy leaky integrate and fire models for neural networks

    Rivista di Matematica della Universita di Parma, Vol. 10, Núm. 2, pp. 269-298

  2. Análisis de la interacción profesor-alumnos cuando resuelven conjuntamente problemas realistas en aulas de secundaria

    Investigación en Educación Matemática XXIII

  3. Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay

    Communications in Partial Differential Equations, Vol. 44, Núm. 12, pp. 1358-1386

2018

  1. Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods

    ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 52, Núm. 5, pp. 1733-1761

2017

  1. Blow-up, steady states and long time behaviour of excitatory-inhibitory nonlinear neuron models

    Kinetic and Related Models, Vol. 10, Núm. 3, pp. 587-612

  2. Close-to-equilibrium behaviour of quadratic reaction–diffusion systems with detailed balance

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 159, pp. 62-84

  3. Cursos cero para las titulaciones de la Facultad de Ciencias de la Universidad de Granada

    Evaluación de la Calidad de la Investigación y de la Educación Superior: libro de resúmenes XIV FECIES

2016

  1. A BGK relaxation model for polyatomic gas mixtures

    Communications in Mathematical Sciences, Vol. 14, Núm. 2, pp. 297-325

2015

  1. Microscopic approach of a time elapsed neural model

    Mathematical Models and Methods in Applied Sciences, Vol. 25, Núm. 14, pp. 2669-2719

  2. Tareas auténticas, ¿un objetivo para la enseñanza obligatoria?

    Educación matemática, un mar de posibilidades: 17 Jornadas para el Aprendizaje y la Enseñanza de las Matemáticas

2014

  1. A parallel deterministic solver for the Schrödinger-Poisson-Boltzmann system in ultra-short DG-MOSFETs: Comparison with Monte-Carlo

    Computers and Mathematics with Applications, Vol. 67, Núm. 9, pp. 1703-1721