Search results for: NEURON DYNAMICS

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

  Publication

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

  - MATHEMATICAL METHODS IN THE APPLIED SCIENCES - Year 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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• Analysis of dynamics of a map-based neuron model via Lorenz maps

  Publication

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

  - CHAOS - Year 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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• NEURON

  Journals

  ISSN: 0896-6273 , eISSN: 1097-4199

• Lattice dynamics of HgSe: Neutron scattering measurements andab initiostudies

  Publication

  • J. Łażewski
  • K. Parlinski
  • W. Szuszkiewicz
  • B. Hennion

  - Physical Review B - Year 2003

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• Justyna Signerska-Rynkowska dr inż.

  People

  Instytut Matematyki Stosowanej

  I am currently an assistant professor (adjunct) at Gdansk University of Technology (Department of Differential Equations and Mathematics Applications). My scientific interests include dynamical systems theory, chaos theory and their applications to modeling of biological phenomena, especially to neurosciences. In June 2013 I completed PhD in Mathematics at the Institute of Mathematics of Polish Academy of Sciences (IMPAN) (thesis...

• Detection of stress corrosion cracking dynamics by dynamic electrochemical impedance spectroscopy

  Publication

  • K. Darowicki
  • J. Orlikowski
  • A. Arutunow
  • K. Darowicki

  - CORROSION ENGINEERING SCIENCE AND TECHNOLOGY - Year 2004

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• Detection of stress corrosion cracking dynamics by dynamic electrochemical impedance spectroscopy.

  Publication

  • K. Darowicki
  • J. Orlikowski
  • A. Arutunow

  - Year 2004

  Klasyczne badania korozji naprężeniowej nie dają precyzyjnych informacji o dynamice takiego procesu korozyjnego. Nowa technika dynamicznej elektrochemicznej spektroskopii impedanyjnej, która została opracowana w Katedrze Elektrochemii, Korozji i Inżynierii Materiałowej stwarza takie możliwości. Fakt ten związany z zastosowaną metodologią analizy umożliwiającą selektywną analizą czasowo-częstotliwościową danych pomiarowych.Praca...

• Generating optimal paths in dynamic environments using RiverFormation Dynamics algorithm

  Publication

  • G. Redlarski
  • M. A. Dąbkowski
  • A. Pałkowski

  - Journal of Computational Science - Year 2017

  The paper presents a comparison of four optimisation algorithms implemented for the purpose of finding the shortest path in static and dynamic environments with obstacles. Two classical graph algorithms –the Dijkstra complete algorithm and A* heuristic algorithm – were compared with metaheuristic River Formation Dynamics swarm algorithm and its newly introduced modified version. Moreover, another swarm algorithm has been compared...

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• Fractional neutron point kinetics equations for nuclear reactor dynamics – Numerical solution investigations

  Publication

  • T. Nowak
  • K. Duzinkiewicz
  • R. Piotrowski

  - ANNALS OF NUCLEAR ENERGY - Year 2014

  This paper presents results concerning numerical solutions to a fractional neutron point kinetics model for a nuclear reactor. The paper discusses and expands on results presented in (Espinosa-Paredes et al., 2011). The fractional neutron point kinetics model with six groups of delayed neutron precursors was developed and a numerical solution using the Edwards’ method was proposed (Edwards et al., 2002). The mathematical model...

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• Kinetics of spinodal decomposition in the Ising model with dynamic lattice liquid (DLL) dynamics

  Publication

  • K. Halagan
  • P. Polanowski

  - Journal of Non-Crystalline Solids - Year 2009

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