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The observation of apparent power-laws in neuronal systems has led to the suggestion that the brain is at, or close to, a critical state and may be a self-organised critical system. Within the framework of self-organised criticality a…

Neurons and Cognition · Quantitative Biology 2014-10-22 Caroline Hartley , Timothy J Taylor , Istvan Z Kiss , Simon F Farmer , Luc Berthouze

Active filaments are a workhorse for propulsion and actuation across biology, soft robotics and mechanical metamaterials. However, artificial active rods suffer from limited robustness and adaptivity because they rely on external control,…

We demonstrate that our recently developed theory of electric field wave propagation in anisotropic and inhomogeneous brain tissues, which has been shown to explain a broad range of observed coherent synchronous brain electrical processes,…

Biological Physics · Physics 2024-03-27 Vitaly L. Galinsky , Lawrence R. Frank

We propose a threshold decision-making framework for controlling the physical dynamics of an agent switching between two spatial tasks. Our framework couples a nonlinear opinion dynamics model that represents the evolution of an agent's…

Robotics · Computer Science 2024-06-10 Giovanna Amorim , María Santos , Shinkyu Park , Alessio Franci , Naomi Ehrich Leonard

A simple model of the driven motion of interacting particles in a two dimensional random medium is analyzed, focusing on the critical behavior near to the threshold that separates a static phase from a flowing phase with a steady-state…

Statistical Mechanics · Physics 2008-02-03 Joe Watson , Daniel S. Fisher

We describe a chain of unidirectionally coupled adaptive excitable elements slowly driven by a stochastic process from one end and open at the other end, as a minimal toy model of unresolved irreducible uncertainty in a system performing…

Neurons and Cognition · Quantitative Biology 2022-09-14 Mario Martinez-Saito

In this paper we develop a probabilistic micro-scale compartmental model and use it to study macro-scale properties of axonal transport, the process by which intracellular cargo is moved in the axons of neurons. By directly modeling the…

Biological Physics · Physics 2011-05-24 Lea Popovic , Scott A. McKinley , Michael C. Reed

In this paper, we are introducing a novel model of artificial intelligence, the functional neural network for modeling of human decision-making processes. This neural network is composed of multiple artificial neurons racing in the network.…

Neural and Evolutionary Computing · Computer Science 2022-12-13 Frederic Jumelle , Kelvin So , Didan Deng

Central neurons initiate action potentials (APs) in the axon initial segment (AIS), a compartment characterized by a high concentration of voltage-dependent ion channels and specialized cytoskeletal anchoring proteins arranged in a regular…

Neurons and Cognition · Quantitative Biology 2018-12-07 Elinor Lazarov , Melanie Dannemeyer , Barbara Feulner , Jörg Enderlein , Michael J. Gutnick , Fred Wolf , Andreas Neef

Spin models of neural networks and genetic networks are considered elegant as they are accessible to statistical mechanics tools for spin glasses and magnetic systems. However, the conventional choice of variables in spin systems may cause…

Disordered Systems and Neural Networks · Physics 2012-12-10 Matthias Rybarsch , Stefan Bornholdt

Problems with artificial neural networks originate from their deterministic nature and inevitable prior learnings, resulting in inadequate adaptability against unpredictable, abrupt environmental change. Here we show that a stochastically…

Disordered Systems and Neural Networks · Physics 2009-11-13 Naoki Asakawa , Yasushi Hotta , Teruo Kanki , Hitoshi Tabata , Tomoji Kawai

We study a probabilistic cellular automaton to describe two population biology problems: the threshold of species coexistence in a predator-prey system and the spreading of an epidemic in a population. By carrying out time-dependent…

Statistical Mechanics · Physics 2015-06-25 Everaldo Arashiro , Tania Tome

We study a discrete non-autonomous system whose autonomous counterpart (with the frozen bifurcation parameter) admits a saddle-node bifurcation, and in which the bifurcation parameter slowly changes in time and is characterized by a sweep…

Numerical Analysis · Mathematics 2023-11-14 Jay Chu , Jun-Jie Lin , Je-Chiang Tsai

We propose a mechanism enabling the appearance of border cells -- neurons firing at the boundaries of the navigated enclosures. The approach is based on the recent discovery of discrete complex analysis on a triangular lattice, which allows…

Neurons and Cognition · Quantitative Biology 2023-05-09 Y. Dabaghian

Consider a large number $n$ of neurons, each being connected to approximately $N$ other ones, chosen at random. When a neuron spikes, which occurs randomly at some rate depending on its electric potential, its potential is set to a minimum…

Probability · Mathematics 2020-03-19 Nicolas Fournier , Etienne Tanré , Romain Veltz

Recent experimental and computational evidence suggests that several dynamical properties may characterize the operating point of functioning neural networks: critical branching, neutral stability, and production of a wide range of firing…

Neurons and Cognition · Quantitative Biology 2012-11-01 Natasha Cayco Gajic , Eric Shea-Brown

A general methodology is proposed to engineer a system of interacting components (particles) which is able to self-regulate their concentrations in order to produce any prescribed output in response to a particular input. The methodology is…

Adaptation and Self-Organizing Systems · Physics 2016-03-01 Filippo Simini

Cellular automata are often used to model systems in physics, social sciences, biology that are inherently asynchronous. Over the past 20 years, studies have demonstrated that the behavior of cellular automata drastically changed under…

Discrete Mathematics · Computer Science 2007-06-19 Damien Regnault , Nicolas Schabanel , Éric Thierry

Dynamical criticality has been shown to enhance information processing in dynamical systems, and there is evidence for self-organized criticality in neural networks. A plausible mechanism for such self-organization is activity dependent…

Adaptation and Self-Organizing Systems · Physics 2012-09-18 Felix Droste , Anne-Ly Do , Thilo Gross

Axons are linear processes of nerve cells that can range from a few tens of micrometers up to meters in length. In addition to external cues, the length of an axon is also regulated by unknown internal mechanisms. Molecular motors have been…

Subcellular Processes · Quantitative Biology 2019-05-15 Frederic Folz , Lukas Wettmann , Giovanna Morigi , Karsten Kruse