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The Hodgkin-Huxley model describes the conduction of the nervous impulse through the axon, whose membrane's electric response can be described employing multiple connected electric circuits containing capacitors, voltage sources, and…

Neurons and Cognition · Quantitative Biology 2021-12-13 Tasio Gonzalez-Raya , Enrique Solano , Mikel Sanz

In this paper we study the hydrodynamic limit for a stochastic process describing the time evolution of the membrane potentials of a system of neurons with spatial dependency. We do not impose on the neurons mean-field type interactions.…

Probability · Mathematics 2017-07-14 Aline Duarte , Guilherme Ost , Andrés Rodríguez

Nucleic acids are negatively charged macromolecules and their structure properties are strongly coupled to metal ions in solutions. In this paper, the salt effects on the flexibility of single stranded (ss) nucleic acid chain ranging from…

Biological Physics · Physics 2015-03-13 Feng-Hua Wang , Yuan-Yan Wu , Zhi-Jie Tan

Molecular dynamics simulations of SPC/E water confined in a Silica pore are presented. The simulations have been performed at different hydration levels and temperatures to study the single-particle dynamics. Due to the confinement and to…

Soft Condensed Matter · Physics 2017-08-23 Paola Gallo

We consider a stochastic version of an excitable system based on the Morris-Lecar model of a neuron, in which the noise originates from stochastic Sodium and Potassium ion channels opening and closing. One can analyze neural excitability in…

Neurons and Cognition · Quantitative Biology 2015-06-15 Jay M. Newby , Paul C. Bressloff , James P. Keener

For ion channel gating, the appearance of two distinct conformational states and the discrete transitions between them is essential, and therefore of crucial importance to all living organisms. We show that the physical interplay between…

Soft Condensed Matter · Physics 2015-06-19 Douwe Jan Bonthuis , Ramin Golestanian

We study the occurrence of Rydberg atom-ion molecules (RAIMs) in a hybrid atom-ion system with an ion crystal trapped in a Paul trap coupled to Rydberg atoms on its either ends. To assess the feasibility of such a system, we perform a…

Quantum Physics · Physics 2025-05-13 Ilango Maran , Liam J. Bond , Jeremy T. Young , Arghavan Safavi-Naini , Rene Gerritsma

A discrete rate theory for general multi-ion channels is presented, in which the continuous dynamics of ion diffusion is reduced to transitions between Markovian discrete states. In an open channel, the ion permeation process involves three…

Biological Physics · Physics 2012-06-29 Wan Chen , Radek Erban , S. Jonathan Chapman

The flow-driven transport of interacting micron-sized particles occurs in many soft matter systems spanning from the translocation of proteins to moving emulsions in microfluidic devices. Here we combine experiments and theory to…

Soft Condensed Matter · Physics 2022-11-16 Dominik Lips , Eric Cereceda-López , Antonio Ortiz-Ambriz , Pietro Tierno , Artem Ryabov , Philipp Maass

We consider a charged Brownian particle in an asymmetric bistable electrostatic potential biased by an externally applied or induced time periodic electric field. While the amplitude of the applied field is independent of frequency, that of…

Biomolecules · Quantitative Biology 2009-03-04 Meir Shaked , Zeev Schuss

State-dependent Na+ channel blockers are often prescribed to treat cardiac arrhythmias, but many Na+ channel blockers are known to have pro-arrhythmic side effects. While the anti and proarrhythmic potential of a Na+ channel blocker is…

Quantitative Methods · Quantitative Biology 2021-09-15 Steffen S. Docken , Colleen E. Clancy , Timothy J. Lewis

Modeling and simulating how oxygen supply shapes neuronal excitability is crucial for advancing the understanding of brain function in pathological scenarios, such as ischemia. This condition is caused by a reduced blood supply, leading to…

Numerical Analysis · Mathematics 2026-03-19 Francesco Daniele , Caterina B. Leimer Saglio , Stefano Pagani , Paola F. Antonietti

We propose and study a model of hypothetical magnetosensitive ionic channels which are long thought to be a possible candidate to explain the influence of weak magnetic fields on living organisms ranging from magnetotactic bacteria to…

Biological Physics · Physics 2016-03-07 Igor Goychuk

The large-conductance, calcium-activated potassium (BK) channel lacks the typical intracellular bundle-crossing gate present in most ion channels of the 6TM family. This observation, initially inferred from Ca$^{2+}$-free-pore accessibility…

Biomolecules · Quantitative Biology 2024-05-09 Lucia Coronel , Giovanni Di Muccio , Brad Rothberg , Alberto Giacomello , Vincenzo Carnevale

We give an explicit formula for the membrane potential of cells in terms of the intracellular and extracellular ionic concentrations, and derive equations for the ionic currents that flow through channels, exchangers and electrogenic pumps.…

Biological Physics · Physics 2007-05-23 L. P. Endresen , K. Hall , J. S. Hoye , J. Myrheim

Piezo1 ion channels are voltage-modulated, stretch-activated ion channels involved in a variety of important physiological and pathophysiological processes, as for example cardiovascular development and homeostasis. Since its discovery, it…

Quantitative Methods · Quantitative Biology 2025-05-20 Dennis Ogiermann , Abdulaziz Mohamed , Luigi E. Perotti , Daniel Balzani

The existence of conduction channels in lithium silicate (Li_2O)(SiO_2) is investigated. Regions of the system where many different ions pass by form channels and are thus spatially correlated. For a closer analysis the properties of the…

Materials Science · Physics 2009-11-10 H. Lammert , A. Heuer

Endothelial cells release various vasorelaxing molecules, such as nitric oxide and prostacyclin, along with defined factors that induce hyperpolarization of vascular smooth muscle cells through the opening of calcium-sensitive potassium…

Molecular Networks · Quantitative Biology 2025-08-05 Paolo Madeddu , Styliani Goulopoulou , David Wambeke

The action potential in a neural membrane is generated by Na+ and K+ channel ionic currents that may be calculated from a current equation and the rate equations for activation variables m and n, and the Na+ inactivation variable h.…

Biological Physics · Physics 2017-11-08 S. R. Vaccaro

By use of a stochastic generalization of the Hodgkin-Huxley model we investigate both the phenomena of stochastic resonance (SR) and coherence resonance (CR) in variable size patches of an excitable cell membrane. Our focus is on the…

Biological Physics · Physics 2007-05-23 G. Schmid , I. Goychuk , P. Hänggi