Wyniki wyszukiwania dla: Neuron Model

• Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations

  Publikacja

  • J. Rubin
  • J. Signerska-Rynkowska
  • J. Touboul
  • A. Vidal

  - DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B - Rok 2017

  This work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation and spike emission. We show that these models can generically display a form of mixed-mode oscillations (MMOs), which are trajectories featuring an alternation of small oscillations with spikes or bursts (multiple consecutive spikes). The mechanism by...

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• NEURON

  Czasopisma

  ISSN: 0896-6273 , eISSN: 1097-4199

• Spike patterns and chaos in a map-based neuron model

  Publikacja

  • P. Bartłomiejczyk
  • F. Llovera Trujillo
  • J. Signerska-Rynkowska

  - International Journal of Applied Mathematics and Computer Science - Rok 2023

  The work studies the well-known map-based model of neuronal dynamics introduced in 2007 by Courbage, Nekorkin and Vdovin, important due to various medical applications. We also review and extend some of the existing results concerning β-transformations and (expanding) Lorenz mappings. Then we apply them for deducing important properties of spike-trains generated by the CNV model and explain their implications for neuron behaviour....

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• Periodic and chaotic dynamics in a map‐based neuron model

  Publikacja

  • F. Llovera Trujillo
  • J. Signerska-Rynkowska
  • P. Bartłomiejczyk

  - MATHEMATICAL METHODS IN THE APPLIED SCIENCES - Rok 2023

  Map-based neuron models are an important tool in modeling neural dynamics and sometimes can be considered as an alternative to usually computationally costlier models based on continuous or hybrid dynamical systems. However, due to their discrete nature, rigorous mathematical analysis might be challenging. We study a discrete model of neuronal dynamics introduced by Chialvo in 1995. In particular, we show that its reduced one-dimensional...

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• Topological-numerical analysis of a two-dimensional discrete neuron model

  Publikacja

  • P. Pilarczyk
  • J. Signerska-Rynkowska
  • G. Graff

  - CHAOS - Rok 2023

  We conduct computer-assisted analysis of a two-dimensional model of a neuron introduced by Chialvo in 1995 [Chaos, Solitons Fractals 5, 461–479]. We apply the method of rigorous analysis of global dynamics based on a set-oriented topological approach, introduced by Arai et al. in 2009 [SIAM J. Appl. Dyn. Syst. 8, 757–789] and improved and expanded afterward. Additionally, we introduce a new algorithm to analyze the return times...

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• AMO model for neuro-inclusive remote workplace

  Publikacja

  • J. Szulc

  - Personnel Review - Rok 2022

  Purpose The aim of this article is to extend current debates on organizational equality, diversity and inclusion to a consideration of neurodivergence in the remote workplace context. Design/methodology/approach Drawing on the ability, motivation, and opportunity (AMO) model and an emerging strength-based approach to neurodiversity, this conceptual paper integrates research on neurodiversity at work and remote working to provide...

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• Analysis of dynamics of a map-based neuron model via Lorenz maps

  Publikacja

  • P. Bartłomiejczyk
  • F. Llovera Trujillo
  • J. Signerska-Rynkowska

  - CHAOS - Rok 2024

  Modeling nerve cells can facilitate formulating hypotheses about their real behavior and improve understanding of their functioning. In this paper, we study a discrete neuron model introduced by Courbage et al. [Chaos 17, 043109 (2007)], where the originally piecewise linear function defining voltage dynamics is replaced by a cubic polynomial, with an additional parameter responsible for varying the slope. Showing that on a large...

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• Neural reliability model of diesel engines

  Publikacja

  • J. Rudnicki

  - Rok 2005

  W artykule przedstawiono wyniki weryfikacji hipotezy zakładającej celowość zastosowania modelu niezawodnościowego silnika tłokowego z zapłonem samoczynnym w postaci sztucznej sieci neuronowej. Weryfikację przeprowadzono w oparciu o wyniki badań eksploatacyjnych.

• Differential models versus neural models in optimisation

  Publikacja

  • T. Kiczkowiak
  • I. Maciejewski
  • S. Grymek

  - POLISH JOURNAL OF ENVIRONMENTAL STUDIES - Rok 2009

  W pracy porównano zastosowanie modeli różniczkowych i modeli neuronowych dla celów optymalizacji.

• Concept of Neural Model of the Sea Bottom Surface

  Publikacja

  • J. Łubczonek
  • A. Stateczny

  - Rok 2003

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