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Diffusion of a solute along a channel is enhanced by hydrodynamic flow, a phenomenon known as Taylor dispersion. In microfluidic applications, the compliance of the channel boundaries modifies the hydrodynamic flow and thus solutal…

Soft Condensed Matter · Physics 2026-04-08 Aditya Jha , Masoodah Gunny , Joshua D Mcgraw , Yacine Amarouchene , Thomas Salez

Filter-exchange imaging (FEXI) has already been utilized in several biomedical studies for evaluating the permeability of cell membranes. The method relies on suppressing the extracellular signal using strong diffusion weighting (the…

Medical Physics · Physics 2022-09-13 Mohammad Khateri , Marco Reisert , Alejandra Sierra , Jussi Tohka , Valerij G. Kiselev

A rigorous microscopic theory for the description of quantum-transport phenomena in systems with open boundaries is proposed. We shall show that the application of the conventional Wigner-function formalism to this problem leads to…

Condensed Matter · Physics 2007-05-23 Remo Proietti Zaccaria , Fausto Rossi

Based on numerical simulation of Hodgkin and Huxley type neuron stimulated from many synaptic inputs, an abstract concept of signal processing in individual neuron is proposed. In the concept proposed, neuron performs binding of synaptic…

Neurons and Cognition · Quantitative Biology 2008-01-03 A. K. Vidybida

It is currently accepted that cortical maps are dynamic constructions that are altered in response to external input. Experience-dependent structural changes in cortical microcurcuts lead to changes of activity, i.e. to changes in…

Neurons and Cognition · Quantitative Biology 2013-02-26 F. Gafarov , N. Khusnutdinov , F. Galimyanov

Periodic neural activity not locked to the stimulus or to motor responses is usually ignored. Here, we present new tools for modeling and quantifying the information transmission based on periodic neural activity that occurs with…

Neurons and Cognition · Quantitative Biology 2008-12-05 Kilian Koepsell , Friedrich T. Sommer

Many studies have shown that a mechanical displacement of the axonal membrane accompanies the electrical pulse defining the Action Potential (AP). Despite a large and diverse body of experimental evidence, there is no theoretical consensus…

Neurons and Cognition · Quantitative Biology 2015-06-22 Ahmed El Hady , Benjamin B. Machta

In the recent years we have shown that cylindrical biological membranes such as nerve axons under physiological conditions are able to support stable electromechanical pulses called solitons. These pulses share many similarities with the…

Biological Physics · Physics 2015-06-04 Lars D. Mosgaard , Andrew D. Jackson , Thomas Heimburg

In the electromechanical theory of nerve stimulation, the nerve impulse consists of a traveling region of solid membrane in a liquid environment. Therefore, the free energy necessary to stimulate a pulse is directly related to the free…

Biological Physics · Physics 2020-08-10 Tian Wang , Tea Music , Andrew D. Jackson , Thomas Heimburg

In this paper, we present an analytic solution for pulse wave propagation in a flexible arterial model with tapering, physiological boundary conditions and variable wall properties (wall elasticity and thickness). The change of wall…

Fluid Dynamics · Physics 2023-12-20 Peishuo Wu , Chi Zhu

Functions correspond to one of the key concepts in mathematics and science, allowing the representation and modeling of several types of signals and systems. The present work develops an approach for characterizing the coverage and…

Discrete Mathematics · Computer Science 2021-02-08 Luciano da F. Costa

As a follow-up tutorial article of [29], in this paper, we will introduce the basic compositional units of the human brain, which will further illustrate the cell-level bio-structure of the brain. On average, the human brain contains about…

Neurons and Cognition · Quantitative Biology 2019-06-06 Jiawei Zhang

This paper proposes a neuronal circuitry layout and synaptic plasticity principles that allow the (pyramidal) neuron to act as a "combinatorial switch". Namely, the neuron learns to be more prone to generate spikes given those combinations…

Biological Physics · Physics 2017-05-09 Marat M. Rvachev

A key question in neuroscience is at which level functional meaning emerges from biophysical phenomena. In most vertebrate systems, precise functions are assigned at the level of neural populations, while single-neurons are deemed…

Neurons and Cognition · Quantitative Biology 2017-03-17 Wieland Brendel , Ralph Bourdoukan , Pietro Vertechi , Christian K. Machens , Sophie Denéve

Channels are fundamental building blocks from biophysics to soft robotics, often used to transport or separate solutes. As solute particles inevitably transverse between streamlines along the channel by molecular diffusion, the effective…

Soft Condensed Matter · Physics 2020-02-10 Sophie Marbach , Karen Alim

This paper proposes a model of interactions between two point processes, ruled by a reproduction function h, which is considered as the intensity of a Poisson process. In particular, we focus on the context of neurosciences to detect…

Statistics Theory · Mathematics 2014-03-07 Laure Sansonnet , Christine Tuleau-Malot

In this paper we analyze continuous-time SIS epidemics subject to arrivals and departures of agents, by using an approximated process based on replacements. In defining the SIS dynamics in an open network, we consider a stochastic setting…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Renato Vizuete , Paolo Frasca , Elena Panteley

A model of a long optical communication line consisting of alternating segments with anomalous and normal dispersion, whose lengths are picked up randomly from a certain interval, is considered. At the first stage of the analysis, we…

Pattern Formation and Solitons · Physics 2007-05-23 Anders Berntson , Boris A. Malomed

Propagation of oscillatory signals through the cortex and coherence is shaped by the connectivity structure of neuronal circuits. This study systematically investigates the network and stimulus properties that shape network responses. The…

Neurons and Cognition · Quantitative Biology 2017-04-28 Hannah Bos , Jannis Schücker , Moritz Helias

How internal forces are transduced into motion through soft, fluid membranes remains a fundamental question in the study of active systems. To investigate this coupling, we develop a minimal system consisting of a single ferromagnetic…

Soft Condensed Matter · Physics 2025-07-11 Paula Magrinya , Arin Escobar Ortiz , Juan L. Aragones , Laura R. Arriaga
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