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Signals recorded from neurons with extracellular planar sensors have a wide range of waveforms and amplitudes. This variety is a result of different physical conditions affecting the ion currents through a cellular membrane. The…

The extracellular space has an ambiguous role in neuroscience. It is present in every physiologically relevant system and often used as a measurement site in experimental recordings, but it has received subordinate attention compared to the…

Neurons and Cognition · Quantitative Biology 2017-05-02 Jurgis Pods

The Fitzhugh-Nagumo neuronal model is used to explore the influence of the electric field on thermosensitive neurons' dynamics. This study investigates how the electric field affects polarization modulation in cell media induced by changes…

Chaotic Dynamics · Physics 2025-02-13 Ediline L. F. Nguessap , Fernando F. Ferreira , Antonio C. Roque

A major challenge in modelling interfacial processes in electrochemical (EC) devices is performing simulations at constant potential. This requires an open-boundary description of the electrons, so that they can enter and leave the…

Chemical Physics · Physics 2023-11-07 Margherita Buraschi , Andrew P. Horsfield , Clotilde S. Cucinotta

The dynamic of thermosensitive neuronal networks under the influence of external electric fields is explored, focusing on hybrid coupling models that incorporate both electrical and chemical synapses. Numerical simulations reveal a variety…

Chaotic Dynamics · Physics 2025-09-19 Ediline L. F. Nguessap , Antonio C. Roque , Fernando F. Ferreira

The resistive or non-resistive nature of the extracellular space in the brain is still debated, and is an important issue for correctly modeling extracellular potentials. Here, we first show theoretically that if the medium is resistive,…

Neurons and Cognition · Quantitative Biology 2015-03-13 Nima Dehghani , Claude Bedard , Sydney S. Cash , Eric Halgren , Alain Destexhe

Biological cells are built up from many different constituents of varying size and stiffness which all contribute to the cell's mechanical properties. Despite this heterogeneity, in the analysis of experimental measurements such as atomic…

Biological Physics · Physics 2023-05-18 Sebastian Wohlrab , Sebastian J. Müller , Stephan Gekle

Neurostimulation using weak electric fields has generated excitement in recent years due to its potential as a medical intervention. However, study of this stimulation modality has been hampered by inconsistent results and large variability…

Neurons and Cognition · Quantitative Biology 2020-01-29 Frances Hutchings , Christopher Thornton , Chencheng Zhang , Yujiang Wang , Marcus Kaiser

A setup for studying the influence of external electric fields on dynamic surface processes is described. Spatially-extended homogeneous electric fields are realized by applying a DC voltage in between a planar electrode and a metallic…

Instrumentation and Detectors · Physics 2013-11-22 W. Steurer , S. Surnev , F. Hanauer , K. Ansperger , F. P. Netzer

How extracellular electric fields, as generated endogenously or through transcranial brain stimulation, affect the dynamics of large neuronal populations is of great interest but not well understood. To study the collective dynamics of…

Neurons and Cognition · Quantitative Biology 2016-11-10 Florian Aspart , Josef Ladenbauer , Klaus Obermayer

A novel finite element method (FEM) is developed to study mechanical response of axons embedded in extra cellular matrix (ECM) when subjected to harmonic uniaxial stretch under purely non-affine kinematic boundary conditions. The proposed…

Biological Physics · Physics 2022-05-06 Mohit Agarwal , Assimina A. Pelegri

Finite Element Modeling (FEM) has been widely used to model the electric field distribution, to study the interaction between stimulation electrodes and neural tissue. However, due to the insufficient computational capability to represent…

Neurons and Cognition · Quantitative Biology 2019-08-22 Jiahui Wang , Hao Wanga , Xin Yuan Thow , Nitish V. Thakor

Mental disorders present challenges in diagnosis and treatment due to their complex and heterogeneous nature. Electroencephalogram (EEG) has shown promise as a potential biomarker for these disorders. However, existing methods for analyzing…

Methodology · Statistics 2024-01-30 Xingche Guo , Bin Yang , Ji Meng Loh , Qinxia Wang , Yuanjia Wang

Extracellular local field potentials (LFP) are usually modeled as arising from a set of current sources embedded in a homogeneous extracellular medium. Although this formalism can successfully model several properties of LFPs, it does not…

Biological Physics · Physics 2016-08-16 Claude Bédard , Helmut Kröger , Alain Destexhe

This work aims at providing a mathematical and numerical framework for the analysis on the effects of pulsed electric fields on biological media. Biological tissues and cell suspensions are described as having a heteregeneous permittivity…

Analysis of PDEs · Mathematics 2015-04-03 Habib Ammari , Dehan Chen , Jun Zou

This study proposes a multi-field asymptotic homogenization for the analysis of thermo-piezoelectric materials with periodic microstructures. The effect of the microstructural heterogeneity is taken into account by means of periodic…

Materials Science · Physics 2017-01-13 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi

Multi-compartment Hodgkin-Huxley models are biophysical models of how electrical signals propagate throughout a neuron, and they form the basis of our knowledge of neural computation at the cellular level. However, these models have many…

Neurons and Cognition · Quantitative Biology 2025-12-04 Ian Christopher Tanoh , Michael Deistler , Jakob H. Macke , Scott W. Linderman

Based upon the membrane currents generated by an action potential in a biologically realistic model of a pyramidal, hippocampal cell within rat CA1, we perform a moment expansion of the extracellular field potential. We decompose the…

Neurons and Cognition · Quantitative Biology 2007-11-06 J. N. Milstein , Christof Koch

The presence of unobserved node specific heterogeneity in Exponential Random Graph Models (ERGM) is a general concern, both with respect to model validity as well as estimation instability. We therefore extend the ERGM by including node…

Computation · Statistics 2021-12-24 Sevag Kevork , Göran Kauermann

Flexoelectricity, a coupling between strain gradients and electric polarization, has attracted significant interest due to its critical role in enhanced effects at small scales and its applicability across a diverse range of materials.…

Computational Physics · Physics 2025-02-28 Arash Kazemi , Kshiteej J Deshmukh , Susan Trolier-McKinstry , Shad Roundy
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