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The propagation of an action potential is accompanied by mechanical and thermal effects. Several mathematical models explain the deformation of the unmyelinated axon wall. In this paper, the deformation of the myelinated axon wall is…

Biological Physics · Physics 2022-06-28 Kert Tamm , Tanel Peets , Jüri Engelbrecht

Hydrated interfaces are ubiquitous in biology and appear on all length scales from ions, individual molecules to membranes and cellular networks. In vivo, they comprise a high degree of self-organization and complex entanglement, which…

Biological Physics · Physics 2015-06-12 J. Griesbauer , S. Boessinger , A. Wixforth , M. F. Schneider

One of the most celebrated successes in computational biology is the Hodgkin-Huxley framework for modeling electrically active cells. This framework, expressed through a set of differential equations, synthesizes the impact of ionic…

Neurons and Cognition · Quantitative Biology 2015-05-28 Joshua H. Goldwyn , Eric Shea-Brown

Gap junctions are channels in cell membranes allowing ions to pass directly between cells. They connect cells throughout the body, including heart myocytes, neurons, and astrocytes. Propagation mediated by gap junctions can be passive or…

Dynamical Systems · Mathematics 2022-05-25 Erin Munro Krull , Christoph Börgers

The activation of a $K^+$ channel sensor in two sequential stages during a voltage clamp may be described as the translocation of a Brownian particle in an energy landscape with two large barriers between states. A solution of the…

Biological Physics · Physics 2015-06-22 Samuel R. Vaccaro

In studies of the brain and the nervous system, extracellular signals - as measured by local field potentials (LFPs) or electroencephalography (EEG) - are of capital importance, as they allow to simultaneously obtain data from multiple…

Neurons and Cognition · Quantitative Biology 2019-06-10 Jurgis Pods

A study is made of how active membrane proteins can modify the long wavelength mechanics of fluid membranes. The activity of the proteins is modelled as disturbing the protein surroundings through non-local force distributions of which a…

Soft Condensed Matter · Physics 2009-11-11 Michael A. Lomholt

We numerically investigate the influence of intrinsic channel noise on the dynamical response of delay-coupling in neuronal systems. The stochastic dynamics of the spiking is modeled within a stochastic modification of the standard…

Biological Physics · Physics 2013-09-23 Xue Ao , Peter Hanggi , Gerhard Schmid

We investigate neuronal excitability in the Hodgkin-Huxley model under temporal interference (TI) stimulation in a previously unexplored sub-Hz resonant regime and uncover a striking nonlinear response that we term 'multi-tongue frequency…

Pattern Formation and Solitons · Physics 2026-01-21 Madhurendra Mishra , Zhen Qi , Adarsh Ganesan

Investigations of nerve activity have focused predominantly on electrical phenomena. Nerves, however, are thermodynamic systems, and changes in temperature and in the dimensions of the nerve can also be observed during the action potential.…

Plants exhibit dynamic bioelectric properties that facilitate information transfer across tissues. This study investigates action potentials (APs) in Nicotiana tabacum recorded within a custom-designed growth chamber using a biosignal…

Biological Physics · Physics 2026-05-20 Imen Bekkari , Maurizio Magarini , Hamdan Awan

Coordinated motion of cell monolayers during epithelial wound healing and tissue morphogenesis involves mechanical stress generation. Here we propose a model for the dynamics of epithelial expansion that couples mechanical deformations in…

Soft Condensed Matter · Physics 2015-06-09 Shiladitya Banerjee , Kazage J. C. Utuje , M. Cristina Marchetti

In this work, we propose to catch the complexity of the membrane potential's dynamic of a motoneuron between its spikes, taking into account the spikes from other neurons around. Our approach relies on two types of data: extracellular…

Statistics Theory · Mathematics 2021-08-03 Anna Bonnet , Charlotte Dion , François Gindraud , Sarah Lemler

Biological signaling is imagined as a combination of activation and transport. The former is triggered by local molecular interactions and the latter is the result of molecular diffusion. However, other fundamental physical principles of…

Biological Physics · Physics 2016-12-07 Bernhard Fichtl , Matthias F. Schneider

We derive a charge conserving phase space cable equation for the propagating action potential, expressing ionic, capacitive and axoplasmic currents as functions of membrane potential. The new equation prediction of ionic current crossing…

Other Quantitative Biology · Quantitative Biology 2025-09-17 Nikola K. Jurisic , Fred Cooper

We continue the work of a series of previous studies of a mathematical model that describes the mean-field limit behavior of a homogeneous network of excitatory point spiking neurons. Contrary to other models, here noise is intrinsic to the…

Neurons and Cognition · Quantitative Biology 2017-07-20 Guillem Via

Single neuron models have a long tradition in computational neuroscience. Detailed biophysical models such as the Hodgkin-Huxley model as well as simplified neuron models such as the class of integrate-and-fire models relate the input…

Neurons and Cognition · Quantitative Biology 2016-11-02 Simone Carlo Surace , Jean-Pascal Pfister

Pulsatory activity patterns, driven by mechanochemical feedback, are prevalent in many biological systems. Here we present a theoretical framework to elucidate the mechanical origin and regulation of pulsatile activity patterns within…

Biological Physics · Physics 2023-10-10 Fernanda Pérez-Verdugo , Samuel Banks , Shiladitya Banerjee

Currently, biological signaling is envisaged as a combination of activation and movement, triggered by local molecular interactions and molecular diffusion, respectively. However, we here suggest, that other fundamental physical mechanisms…

Biological Physics · Physics 2018-05-22 B. Fichtl , I. Silman , M. F. Schneider

The excitation of many cells and tissues is associated with cell mechanical changes. The evidence presented herein corroborates that single cells deform during an action potential (AP). It is demonstrated that excitation of plant cells…

Biological Physics · Physics 2018-07-17 Christian Fillafer , Matan Mussel , Julia Muchowski , Matthias F. Schneider
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