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State-of-the-art simulations of detailed neural models follow the Bulk Synchronous Parallel execution model. Execution is divided in equidistant communication intervals, equivalent to the shortest synaptic delay in the network. Neurons…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-05 Bruno Magalhães , Michael Hines , Thomas Sterling , Felix Schuermann

By monitoring multiple molecular transitions, force-clamp and trap-position-clamp methods have led to precise determinations of the free energies and free energy landscapes for molecular states populated in equilibrium at the same or…

Biomolecules · Quantitative Biology 2015-06-15 A. H. Mack , D. J. Schlingman , M. Kamenetska , Robert Collins , L. Regan , S. G. J. Mochrie

Cluster synchronization is a fundamental phenomenon in systems of coupled oscillators. Here, we investigate clustering patterns that emerge in a unidirectional ring of four delay-coupled electrochemical oscillators. A voltage parameter in…

Dynamical Systems · Mathematics 2023-06-28 Andrew Keane , Alannah Neff , Karen Blaha , Andreas Amann , Philipp Hövel

The continuous integration of experimental data into coherent models of the brain is an increasing challenge of modern neuroscience. Such models provide a bridge between structure and activity, and identify the mechanisms giving rise to…

Neurons and Cognition · Quantitative Biology 2017-03-03 Jannis Schuecker , Maximilian Schmidt , Sacha J. van Albada , Markus Diesmann , Moritz Helias

Biological circuits such as neural or gene regulation networks use internal states to map sensory input to an adaptive repertoire of behavior. Characterizing this mapping is a major challenge for systems biology, and though experiments that…

Neurons and Cognition · Quantitative Biology 2022-10-12 Edward D. Lee , Xiaowen Chen , Bryan C. Daniels

A new stimulation paradigm is presented for the stimulation of nerve cells by extracellular electric currents. In the new paradigm stimulation is achieved with the current spike induced by a voltage step whenever the voltage step is applied…

Other Quantitative Biology · Quantitative Biology 2016-03-08 Erich W. Schmid

A nonlinear electronic circuit comprising of three nodes with a feedback loop is analyzed. The system has two stable states, a uniform state and a sinusoidal oscillating state, and it transitions from one to another by means of a Hopf…

Adaptation and Self-Organizing Systems · Physics 2023-01-05 Ishan Deo , Krishnacharya Khare

Differential equation-based physiological models of sleep-wake networks describe sleep-wake regulation by simulating the activity of wake- and sleep-promoting neuronal populations and the modulation of these populations by homeostatic and…

Dynamical Systems · Mathematics 2021-11-16 Christina Athanasouli , Sofia H. Piltz , Cecilia Diniz Behn , Victoria Booth

Low temperature scanning tunneling microscope images and spectroscopic data have been obtained on subnanometer size Pb clusters fabricated using the technique of buffer layer assisted growth. Discrete energy levels were resolved in…

Other Condensed Matter · Physics 2009-11-11 L. L. A. Adams , B. W. Lang , A. M. Goldman

Simulating potential cascading failures can be useful for avoiding or mitigating such events. Currently, existing steady-state analysis tools are ill-suited for simulating cascading outages as they do not model frequency dependencies, they…

Signal Processing · Electrical Eng. & Systems 2019-11-25 Amritanshu Pandey , Aayushya Agarwal , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Larry Pileggi

The dynamics of complex-valued fractional-order neuronal networks are investigated, focusing on stability, instability and Hopf bifurcations. Sufficient conditions for the asymptotic stability and instability of a steady state of the…

Dynamical Systems · Mathematics 2017-03-21 Eva Kaslik , Ileana Rodica Radulescu

Biomedical signals carry signature rhythms of complex physiological processes that control our daily bodily activity. The properties of these rhythms indicate the nature of interaction dynamics among physiological processes that maintain a…

Machine Learning · Computer Science 2020-12-14 Yassin Khalifa , Danilo Mandic , Ervin Sejdić

We study the static and dynamic properties of bromine electrosorption onto single-crystal silver (100) electrodes by Monte Carlo simulation. At room temperature the system displays a second-order phase transition between a low-coverage…

Materials Science · Physics 2009-10-31 S. J. Mitchell , G. Brown , P. A. Rikvold

Coherent control and the creation of entangled states are discussed in a system of two superconducting flux qubits interacting with each other through their mutual inductance and identically coupling to a reservoir of harmonic oscillators.…

Superconductivity · Physics 2009-11-13 K. Xia , M. Macovei , J. Evers , C. H. Keitel

We present a general information theoretic approach for identifying functional subgraphs in complex networks where the dynamics of each node are observable. We show that the uncertainty in the state of each node can be expressed as a sum of…

Neurons and Cognition · Quantitative Biology 2008-07-31 Luis M. A. Bettencourt , Vadas Gintautas , Michael I. Ham

Cortical neurons are characterized by irregular firing and a broad distribution of rates. The balanced state model explains these observations with a cancellation of mean excitatory and inhibitory currents, which makes fluctuations drive…

Neurons and Cognition · Quantitative Biology 2020-10-15 Alessandro Sanzeni , Mark H Histed , Nicolas Brunel

We study the dynamics of the structure of a formal neural network wherein the strengths of the synapses are governed by spike-timing-dependent plasticity (STDP). For properly chosen input signals, there exists a steady state with a residual…

Neurons and Cognition · Quantitative Biology 2015-05-18 Quansheng Ren , Kiran M. Kolwankar , Areejit Samal , Jürgen Jost

Using molecular dynamics simulation, we investigate transport properties of a classical two-dimensional electron system confined in a microchannel with a narrow constriction. As a function of the confinement strength of the constriction,…

Mesoscale and Nanoscale Physics · Physics 2012-10-18 Moto Araki , Hisao Hayakawa

Networks of neural mass nodes with delayed interactions are increasingly being used as models for large-scale brain activity. To complement the growing number of computational studies of such networks, it is timely to develop new…

Dynamical Systems · Mathematics 2025-09-29 S Coombes , H G E Meijer

This paper presents a framework to perform bifurcation analysis in laboratory experiments or simulations. We employ control-based continuation to study the dynamics of a macroscopic variable of a microscopically defined model, exploring the…

Dynamical Systems · Mathematics 2022-08-02 Ilias Panagiotopoulos , Jens Starke , Jan Sieber , Wolfram Just