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It is well-known that the electrical activities of neurons are induced by a wide variety of external factors. This work considers the effect of electromagnetic induction on improved denatured Morris-Lecar neuron model. The dependence of…

Evidence from experimental studies shows that oscillations due to electro-mechanical coupling can be generated spontaneously in smooth muscle cells. Such cellular dynamics are known as \textit{pacemaker dynamics}. In this article we address…

Dynamical Systems · Mathematics 2022-01-19 Hammed O. Fatoyinbo , Richard G. Brown , David J. W. Simpson , Bruce van Brunt

Noise induced excitability is studied in type I and II Morris-Lecar neurons subject to constant sub threshold input, where fluctuations arise from sodium and potassium ion channels. Ion channels open and close randomly, creating current…

Cell Behavior · Quantitative Biology 2014-09-08 Jay Newby

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

A molecular dynamics (MD) simulation is used to quantitatively analyze the induced membrane potential for an applied external field varied between 0.4 V/nm to 2.0 V/nm. The change in the electrostatic potential in the DPPC is directly…

Biological Physics · Physics 2023-11-02 Shadeeb Hossain

Spatiotemporal patterns are common in biological systems. For electrically-coupled cells previous studies of pattern formation have mainly used external forcing as the main bifurcation parameter. The purpose of this paper is to show that…

Dynamical Systems · Mathematics 2021-11-02 H. O. Fatoyinbo , R. G. Brown , D. J. W. Simpson , B. van Brunt

Morris-Lecar model is arguably the simplest dynamical model that retains both the slow-fast geometry of excitable phase portraits and the physiological interpretation of a conductance-based model. We augment this model with one slow inward…

Dynamical Systems · Mathematics 2020-09-03 Giuseppe Ilario Cirillo , Rodolphe Sepulchre

In these companion papers, we study how the interrelated dynamics of sodium and potassium affect the excitability of neurons, the occurrence of seizures, and the stability of persistent states of activity. In this first paper, we construct…

Neurons and Cognition · Quantitative Biology 2009-09-29 John R. Cressman , Ghanim Ullah , Jokubas Ziburkus , Steven J. Schiff , Ernest Barreto

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 Lars Petter Endresen , Kevin Hall

The classical biophysical Morris-Lecar model of neuronal excitability predicts that upon stimulation of the neuron with a sufficiently large constant depolarizing current there exists a finite interval of the current values where periodic…

Neurons and Cognition · Quantitative Biology 2021-05-14 A. V. Paraskevov , T. S. Zemskova

The transverse and longitudinal current correlation functions are evaluated in liquid and amorphous sodium by computer simulation. The study of the corresponding spectra as a function of the wavevector $k$ allows the evaluation of a…

Soft Condensed Matter · Physics 2015-09-11 Giulia De Lorenzi-Venneri , Renzo Vallauri

Voltage-gated ion channels are key molecules for the generation and propagation of electrical signals in excitable cell membranes. The voltage-dependent switching of these channels between conducting and nonconducting states is a major…

Biological Physics · Physics 2009-09-10 Riza Erdem , Ekrem Aydiner

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

We present a concurrent Monte Carlo (MC) - molecular dynamics (MD) approach to modeling of matter response to excitation of its electronic system. The two methods are combined on-the-fly at each time step in one code, TREKIS-4. The MC model…

Other Condensed Matter · Physics 2023-02-17 N. Medvedev , F. Akhmetov , R. A. Rymzhanov , R. Voronkov , A. E. Volkov

The effects of an externally applied one-dimensional periodic potential on the freezing/melting behaviour of two-dimensional systems of colloidal particles with a short-range attractive interaction are studied using Monte Carlo simulations.…

Soft Condensed Matter · Physics 2010-05-07 Pinaki Chaudhuri , Chinmay Das , Chandan Dasgupta , H. R. Krishnamurthy , A. K. Sood

A two-dimensional small bias model has been developed for a patterned metal current collector $|$ mixed oxygen ion and electronic conductor (MIEC) $|$ patterned metal current collector electrochemical cell in a symmetric gas environment.…

Chemical Physics · Physics 2009-03-20 Francesco Ciucci , William C. Chueh , Sossina M. Haile , David G. Goodwin

Solvent-free coarse grained models represent one of the most promising approaches for molecular simulations of mesoscopically large membranes. In these models, the size of the simulated membrane is limited by the slow relaxation time of…

Soft Condensed Matter · Physics 2009-11-13 Oded Farago

While the dynamics of dimers and polymer chains in a viscous solvent is well understood within the celebrated Rouse model, the effect of an external magnetic field on the dynamics of a charged chain is much less understood. Here we…

Statistical Mechanics · Physics 2022-07-01 Rushikesh Shinde , Jens Uwe Sommer , Hartmut Löwen , Abhinav Sharma

Nonlinear modal interactions and associated internal resonance phenomena have recently been used to demonstrate improved oscillator performance and enhanced sensing capabilities. Here, we show tunable modal interaction in a MoS2 resonator.…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Nishta Arora , A. K. Naik

The behavior of saturated aqueous sodium chloride solutions under a constant external electric field (E) was studied by molecular dynamics (MD) simulation. Our dynamic MD simulations have indicated that the irreversible nucleation process…

Soft Condensed Matter · Physics 2016-01-20 Gan Ren , Yanting Wang
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