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Recently, hybrid models have emerged that combine microscopic and mesoscopic regimes in a single stochastic reaction-diffusion simulation. Microscopic simulations track every individual molecule and are generally more accurate. Mesoscopic…

Emerging Technologies · Computer Science 2015-11-20 Adam Noel , Karen C. Cheung , Robert Schober

The contact process is an emblematic model of a non-equilibrium system, containing a phase transition between inactive and active dynamical regimes. In the epidemiological context, the model is known as the susceptible-infected-susceptible…

Statistical Mechanics · Physics 2023-05-12 Wout Merbis , Clélia de Mulatier , Philippe Corboz

Based on the theory of stochastic chemical kinetics, the inherent randomness and stochasticity of biochemical reaction networks can be accurately described by discrete-state continuous-time Markov chains. The analysis of such processes is,…

Numerical Analysis · Mathematics 2014-10-14 Andreychenko Alexander , Mikeev Linar , Wolf Verena

We consider a spatially extended mesoscopic FitzHugh-Nagumo model with strong local interactions and prove that its asymptotic limit converges towards the classical nonlocal reaction-diffusion FitzHugh-Nagumo system. As the local…

Analysis of PDEs · Mathematics 2022-08-31 Alain Blaustein , Francis Filbet

Synthetic data generation is a promising solution to address privacy issues with the distribution of sensitive health data. Recently, diffusion models have set new standards for generative models for different data modalities. Also very…

Signal Processing · Electrical Eng. & Systems 2023-06-16 Juan Miguel Lopez Alcaraz , Nils Strodthoff

The human neuromuscular system consisting of skeletal muscles and neural circuits is a complex system that is not yet fully understood. Surface electromyography (EMG) can be used to study muscle behavior from the outside. Computer…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-16 Benjamin Maier

Simulation of biomolecular networks is now indispensable for studying biological systems, from small reaction networks to large ensembles of cells. Here we present a novel approach for stochastic simulation of networks embedded in the…

Quantitative Methods · Quantitative Biology 2016-09-28 Margaritis Voliotis , Philipp Thomas , Ramon Grima , Clive G. Bowsher

Emotion recognition is a critical task in human-computer interaction, enabling more intuitive and responsive systems. This study presents a multimodal emotion recognition system that combines low-level information from audio and text,…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-23 Shamin Bin Habib Avro , Taieba Taher , Nursadul Mamun

Excitable media are ubiquitous in nature, and in such systems the local excitation tends to self-organize in traveling waves, or in rotating spiral-shaped patterns in two or three spatial dimensions. Examples include waves during a pandemic…

Dynamical Systems · Mathematics 2023-12-25 Marie Cloet , Louise Arno , Desmond Kabus , Joeri Van der Veken , Alexander V. Panfilov , Hans Dierckx

Neurons are the central biological objects in understanding how the brain works. The famous Hodgkin-Huxley model, which describes how action potentials of a neuron are initiated and propagated, consists of four coupled nonlinear…

Neurons and Cognition · Quantitative Biology 2010-02-01 William Hanan , Dhagash Mehta , Guillaume Moroz , Sepanda Pouryahya

This paper studies an input-driven one-state differential equation model initially developed for an experimentally demonstrated dynamic molecular switch that switches like synapses in the brain do. The linear-in-the-state and…

Machine Learning · Computer Science 2025-08-22 H. I. Nurdin , C. A. Nijhuis

We investigate the influence of indirect connections, interregional distance and collective effects on the large-scale functional networks of the human cortex. We study topologies of empirically derived resting state networks (RSNs),…

Neurons and Cognition · Quantitative Biology 2013-02-18 Vesna Vuksanović , Philipp Hövel

Much of our mechanistic understanding of the functions of biological macromolecules is based on static structural experiments, which can be modelled either as single structures or conformational ensembles. While these provide us with…

Biomolecules · Quantitative Biology 2025-10-02 Daria Gusew , Carl G. Henning Hansen , Kresten Lindorff-Larsen

We propose a probabilistic framework for developing computational models of biological neural systems. In this framework, physiological recordings are viewed as discrete-time partial observations of an underlying continuous-time stochastic…

Neurons and Cognition · Quantitative Biology 2026-02-10 Ahmed ElGazzar , Marcel van Gerven

Neuronal ensemble activity, including coordinated and oscillatory patterns, exhibits hallmarks of nonequilibrium systems with time-asymmetric trajectories to maintain their organization. However, assessing time asymmetry from neuronal…

Neurons and Cognition · Quantitative Biology 2025-12-12 Ken Ishihara , Hideaki Shimazaki

Brownian Dynamics algorithms are widely used for simulating soft-matter and biochemical systems. In recent times, their application has been extended to the simulation of coarse-grained models of cellular networks in simple organisms. In…

Quantitative Methods · Quantitative Biology 2009-11-13 Marco J. Morelli , Pieter Rein ten Wolde

Advances in neuroscience and artificial intelligence have enabled preliminary decoding of brain activity. However, despite the progress, the interpretability of neural representations remains limited. A significant challenge arises from the…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Hasib Aslam , Muhammad Talal Faiz , Muhammad Imran Malik

Electroencephalography (EEG) is a widely used, non-invasive method for capturing brain activity, and is particularly relevant for applications in Brain-Computer Interfaces (BCI). However, collecting high-quality EEG data remains a major…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Henrique de Lima Alexandre , Clodoaldo Aparecido de Moraes Lima

Reaction-diffusion models are used to describe systems in fields as diverse as physics, chemistry, ecology and biology. The fundamental quantities in such models are individual entities such as atoms and molecules, bacteria, cells or…

Computational Physics · Physics 2016-03-02 Fabian Spill , Pilar Guerrero , Tomas Alarcon , Philip K. Maini , Helen Byrne

Stochastic dynamic models have been extensively used for the description of processes with uncertainties arising in the operations research, behavioral sciences, and many other application areas. A large class of the problems from these…

Numerical Analysis · Mathematics 2021-06-01 Thi Kim Thoa Thieu , Roderick Melnik