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The effect of intrinsic channel noise is investigated for the dynamic response of a neuronal cell with a delayed feedback loop. The loop is based on the so-called autapse phenomenon in which dendrites establish not only connections to…

Biological Physics · Physics 2014-12-22 Yunyun Li , Gerhard Schmid , Peter Hanggi , Lutz Schimansky-Geier

Understanding the human brain is the biggest challenge for scientists in the twenty-first century. The Hodgkin-Huxley (HH) model is one of the most successful mathematical models for bio-realistic simulations of the brain. However, the…

Emerging Technologies · Computer Science 2020-04-29 Byungik Ahn

This chapter revisits the concept of excitability, a basic system property of neurons. The focus is on excitable systems regarded as behaviors rather than dynamical systems. By this we mean open systems modulated by specific interconnection…

Neurons and Cognition · Quantitative Biology 2017-04-18 Rodolphe Sepulchre , Guillaume Drion , Alessio Franci

Recent evidence suggests that neural information is encoded in packets and may be flexibly routed from region to region. We have hypothesized that neural circuits are split into sub-circuits where one sub-circuit controls information…

Neurons and Cognition · Quantitative Biology 2017-03-17 Yuxiu Shao , Andrew T. Sornborger , Louis Tao

The binding neuron model is inspired by numerical simulation of Hodgkin-Huxley-type point neuron, as well as by the leaky integrate-and-fire model. In the binding neuron, the trace of an input is remembered for a fixed period of time after…

Neurons and Cognition · Quantitative Biology 2011-07-20 Alexander K. Vidybida

An important idea in neural information processing is the communication-through-coherence hypothesis, according to which communication between two brain regions is effective only if they are phase-locked. Also of importance is neuronal…

In the context of neuroscience the elapsed-time model is an age-structured equation that describes the behavior of interconnected spiking neurons through the time since the last discharge, with many interesting dynamics depending on the…

Analysis of PDEs · Mathematics 2025-07-18 María J Cáceres , José A Cañizo , Nicolas Torres

One major function of social networks (e.g., massive online social networks) is the dissemination of information such as scientific knowledge, news, and rumors. Information can be propagated by the users of the network via natural…

Computer Science and Game Theory · Computer Science 2010-06-30 Dmitry Zinoviev , Vy Duong , Honggang Zhang

In considering a social network, there are cases where people is transferred to another place. Then the physical (direct) relations among nodes are lost by the movement. In terms of a network theory, some nodes break the present connections…

Physics and Society · Physics 2007-05-23 Norihito Toyota

Fifty years ago, Fitzugh introduced a phase portrait that became famous for a twofold reason: it captured in a physiological way the qualitative behavior of Hodgkin-Huxley model and it revealed the power of simple dynamical models to unfold…

Dynamical Systems · Mathematics 2011-12-13 Alessio Franci , Guillaume Drion , Vincent Seutin , Rodolphe Sepulchre

In spite of the large amount of existing neural models in the literature, there is a lack of a systematic review of the possible effect of choosing different initial conditions on the dynamic evolution of neural systems. In this short…

Neurons and Cognition · Quantitative Biology 2016-05-24 Pedro A. Valdes-Hernandez , Thomas Knoesche

Interfaces in tissues are ubiquitous, both between tissue and environment as well as between populations of different cell types. The propagation of an interface can be driven mechanically. % e.g. by a difference in the respective…

Tissues and Organs · Quantitative Biology 2024-06-03 Tobias Büscher , Angel L. Diez , Gerhard Gompper , Jens Elgeti

The compartmental model is a basic tool for studying signal propagation in neurons, and, if the model parameters are adequately defined, it can also be of help in the study of electrical or fluid transport. Here we show that the input…

Cell Behavior · Quantitative Biology 2007-05-23 E. Louis C. Degli Esposti Boschi G. J. Ortega E. Fernandez

In this study, the partially entangled neural networks is used to transfer information between two neurons, where the original teleportation protocol is employed this for this purpose. The effect of the network strength on the fidelity of…

General Physics · Physics 2009-12-15 A. Al- Segher , Nasser Metwally

We propose a method, based on persistent homology, to uncover topological properties of a priori unknown covariates of neuron activity. Our input data consist of spike train measurements of a set of neurons of interest, a candidate list of…

Neurons and Cognition · Quantitative Biology 2015-10-23 Gard Spreemann , Benjamin Dunn , Magnus Bakke Botnan , Nils A. Baas

Molecular communication is a biologically-inspired method of communication with attractive properties for microscale and nanoscale devices. In molecular communication, messages are transmitted by releasing a pattern of molecules at a…

Information Theory · Computer Science 2008-12-09 Andrew W. Eckford

The action potential is widely considered a purely electrical phenomenon. However, one also finds mechanical and thermal changes that can be observed experimentally. In particular, nerve membranes become thicker and axons contract. The…

Neurons and Cognition · Quantitative Biology 2025-09-29 T. Heimburg

This article explores the design and experimentation of a neural network architecture capable of dynamically adjusting its internal structure based on the input data. The proposed model introduces a routing mechanism that allows each layer…

Machine Learning · Computer Science 2025-11-18 Dmytro Hospodarchuk

Improvements in technique in conjunction with an evolution of the theoretical and conceptual approach to neuronal networks provide a new perspective on living neurons in culture. Organization and connectivity are being measured…

Disordered Systems and Neural Networks · Physics 2010-08-02 Jean-Pierre Eckmann , Ofer Feinerman , Leor Gruendlinger , Elisha Moses , Jordi Soriano , Tsvi Tlusty

Spreading depression (SD) is a wave phenomenon in gray matter tissue. Locally, it is characterized by massive re-distribution of ions across cell membranes. As a consequence, there is a sustained membrane depolarization and tissue…

Neurons and Cognition · Quantitative Biology 2014-11-18 Bas-Jan Zandt , Bennie ten Haken , Michel J. A. M. van Putten , Markus A. Dahlem