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The time-dependent surface flux method developed for the description of electronic spectra [L. Tao and A. Scrinzi, New J. Phys. 14, 013021 (2012); A. Scrinzi, New J. Phys. 14, 085008 (2012)] is extended to treat dissociation and…

Atomic Physics · Physics 2014-10-09 Lun Yue , Lars Bojer Madsen

Heterogeneous nucleation on catalytic surfaces plunged into a fluid is described through a stochastic model. To generate this non-equilibrium process we assume that the turn on of a electrostatic potential triggers a complex dynamics that…

Chemical Physics · Physics 2007-05-23 P. C. T. Dajello , I. Mozolevski , Z. G. S. Kipervaser

The calcium transport in biological systems is modelled as a reaction-diffusion process. Nonlinear calcium waves are then simulated using a stochastic cellular automaton whose rules are derived from the corresponding coupled partial…

Pattern Formation and Solitons · Physics 2010-03-30 Xin-She Yang

In the brain, both neurons and glial cells work in conjunction with each other during information processing. Stimulation of neurons can cause calcium oscillations in astrocytes which in turn can affect neuronal calcium dynamics. The…

Neurons and Cognition · Quantitative Biology 2023-08-16 Bhanu Sharma , Spandan Kumar , Subhendu Ghosh , Vikram Singh

Neuronal cells present periodic trains of localized voltage spikes involving a large amount of different ionic channels. A relevant question is whether this is a cooperative effect or it could also be an intrinsic property of individual…

Biological Physics · Physics 2018-04-17 Laureano Ramírez-Piscina , José M. Sancho

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

The consistent description of kinetic and hydrodynamic processes is applied to the study of ion transport processes in the ionic solution-porous medium system. A system of equations is obtained for the nonequilibrium single-ion distribution…

Statistical Mechanics · Physics 2025-06-26 P. P. Kostrobij , B. M. Markovych , O. V. Viznovych , M. V. Tokarchuk

We propose a stochastic model for intracellular transport processes associated with the activity of molecular motors. This out-of-equilibrium model, based on a generalized Langevin equation, considers a particle immersed in a viscoelastic…

Biological Physics · Physics 2009-04-15 L. Bruno , M. A. Despósito

Action potential propagation along the axons and across the dendrites is the foundation of the electrical activity observed in the brain and the rest of the central nervous system. Theoretical and numerical modeling of this action potential…

Quantitative Methods · Quantitative Biology 2022-12-01 Rahul Gulati , Shiva Rudraraju

We study a phenomenological electropermeabilization model in a periodic medium representing biological tissue. Starting from a cell-level model describing the electric potential and the degree of porosity, we perform dimension analysis to…

Analysis of PDEs · Mathematics 2026-02-03 Tobias Gebäck , Ioanna Motschan-Armen , Irina Pettersson

Electrophoretic separation of a mixture of chemical species is a fundamental technique of great usefulness in biology, health care and forensics. In capillary electrophoresis the sample migrates in a microcapillary in the presence of a…

Quantitative Methods · Quantitative Biology 2012-03-07 Sandip Ghosal , Zhen Chen

The random transitions of ion channels between conducting and non-conducting states generate a source of internal fluctuations in a neuron, known as channel noise. The standard method for modeling fluctuations in the states of ion channels…

Neurons and Cognition · Quantitative Biology 2011-04-27 Joshua H. Goldwyn , Nikita S. Imennov , Michael Famulare , Eric Shea-Brown

Modeling the ion concentration profile in nanochannel plays an important role in understanding the electrical double layer and electroosmotic flow. Due to the non-negligible surface interaction and the effect of discrete solvent molecules,…

Machine Learning · Computer Science 2023-12-19 Zhonglin Cao , Yuyang Wang , Cooper Lorsung , Amir Barati Farimani

The electrical properties of extracellular space around neurons are important to understand the genesis of extracellular potentials, as well as for localizing neuronal activity from extracellular recordings. However, the exact nature of…

Calcium (Ca2+) signalling is one of the most important mechanisms of information propagation in the body. In embryogenesis the interplay between Ca2+ signalling and mechanical forces is critical to the healthy development of an embryo but…

Quantitative Methods · Quantitative Biology 2019-01-23 Katerina Kaouri , Philip K. Maini , Paris Skourides , Neophytos Christodoulou , S. Jonathan Chapman

Traditional elastic wavefield separation methods, while accurate, often demand substantial computational resources, especially for large geological models or 3D scenarios. Purely data-driven neural network approaches can be more efficient,…

Geophysics · Physics 2025-07-01 Shijun Cheng , Xinru Mu , Tariq Alkhalifah

We present an efficient and robust numerical model for simulation of electrokinetic phenomena in porous networks over a wide range of applications including energy conversion, desalination, and lab-on-a-chip systems. Coupling between fluid…

Fluid Dynamics · Physics 2016-10-04 Shima Alizadeh , Ali Mani

Cortical spreading depression and spreading depolarization (CSD) are waves of neuronal depolarization that spread across the cortex, leading to a temporary saturation of brain activity. They are associated to various brain disorders such as…

Dynamical Systems · Mathematics 2023-06-16 David Reyner-Parra , Carles Bonet , Teresa M. Seara , Gemma Huguet

Electrochemical energy systems rely on particulate porous electrodes to store or convert energies. While the three-dimensional porous structures were introduced to maximize the interfacial area for better overall performance of the system,…

Applied Physics · Physics 2021-02-16 Shubham Agrawal , Peng Bai

We present a comprehensive study of exciton wave packet evolution in disordered lossless polaritonic wires. Our simulations reveal signatures of ballistic, diffusive, and subdiffusive exciton dynamics under strong light-matter coupling and…

Quantum Physics · Physics 2023-09-27 Gustavo J. R. Aroeira , Kyle Kairys , Raphael F. Ribeiro