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Avalanches with power-law distributed size parameters have been observed in neuronal networks. This observation might be a manifestation of the self-organized criticality (SOC). Yet, the physiological mechanicsm of this behavior is…

Neurons and Cognition · Quantitative Biology 2017-05-24 Koray Çiftçi

Recently Segev et al. (Phys. Rev. E 64,2001, Phys.Rev.Let. 88, 2002) made long-term observations of spontaneous activity of in-vitro cortical networks, which differ from predictions of current models in many features. In this paper we…

Neurons and Cognition · Quantitative Biology 2009-11-10 Maria Marinaro , Silvia Scarpetta

Stochasticity is a defining feature of the pairwise forces governing interactions in biological systems-from molecular motors to cell-cell adhesion-yet its consequences on large-scale dynamics remain poorly understood. Here, we show that…

Soft Condensed Matter · Physics 2025-08-27 Henry Alston , Raphael Voituriez , Thibault Bertrand

Diffusion Probabilistic Models have demonstrated remarkable performance across a wide range of generative tasks. However, we have observed that these models often suffer from a Signal-to-Noise Ratio-timestep (SNR-t) bias. This bias refers…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Meng Yu , Lei Sun , Jianhao Zeng , Xiangxiang Chu , Kun Zhan

Semantic image synthesis (SIS) is a task to generate realistic images corresponding to semantic maps (labels). However, in real-world applications, SIS often encounters noisy user inputs. To address this, we propose Stochastic Conditional…

Computer Vision and Pattern Recognition · Computer Science 2024-06-04 Juyeon Ko , Inho Kong , Dogyun Park , Hyunwoo J. Kim

This paper is devoted to the study of the performance of the Linear Minimum Mean-Square Error receiver for (receive) correlated Multiple-Input Multiple-Output systems. By the random matrix theory, it is well-known that the Signal-to-Noise…

Information Theory · Computer Science 2008-10-17 Abla Kammoun , Malika Kharouf , Walid Hachem , Jamal Najim

This paper analyses of a stochastic model of a chemical reaction network with three types of chemical species ${\cal R}$, ${\cal M}$ and ${\cal U}$ that interact to transform a flow of external resources, the chemical species ${\cal Q}$, to…

Probability · Mathematics 2025-12-01 Vincent Fromion , Philippe Robert , Jana Zaherddine

In the mammalian nervous system, various synaptic plasticity rules act, either individually or synergistically, and over wide-ranging timescales to dictate the processes that enable learning and memory formation. To mimic biological…

Disordered Systems and Neural Networks · Physics 2021-06-11 Syed Ghazi Sarwat , Benedikt Kersting , Timoleon Moraitis , Vara Prasad Jonnalagadda , Abu Sebastian

We introduce a weight update formula that is expressed only in terms of firing rates and their derivatives and that results in changes consistent with those associated with spike-timing dependent plasticity (STDP) rules and biological…

Neural and Evolutionary Computing · Computer Science 2016-03-22 Yoshua Bengio , Thomas Mesnard , Asja Fischer , Saizheng Zhang , Yuhuai Wu

In this paper, we consider a diffusive mobile molecular communication (MC) system consisting of a pair of mobile transmitter and receiver nano-machines suspended in a fluid medium, where we model the mobility of the nano-machines by…

Information Theory · Computer Science 2017-04-24 Arman Ahmadzadeh , Vahid Jamali , Robert Schober

Serotonergic neurons of the dorsal raphe nuclei, with their extensive innervation of nearly the whole brain have important modulatory effects on many cognitive and physiological processes. They play important roles in clinical depression…

Neurons and Cognition · Quantitative Biology 2012-12-06 Henry C. Tuckwell

An increasing body of evidence suggests that the trial-to-trial variability of spiking activity in the brain is not mere noise, but rather the reflection of a sampling-based encoding scheme for probabilistic computing. Since the precise…

We propose a novel discrete model of central pattern generators (CPG), neuronal ensembles generating rhythmic activity. The model emphasizes the role of nonsynaptic interactions and the diversity of electrical properties in nervous systems.…

Neural and Evolutionary Computing · Computer Science 2017-05-10 Nikolay Bazenkov , Varvara Dyakonova , Oleg Kuznetsov , Dmitri Sakharov , Dmitry Vorontsov , Liudmila Zhilyakova

Epilepsy is a neurological disorder with recurrent seizures of complexity and randomness. Until now, the mechanism of epileptic randomness has not been fully elucidated. Inspired by the recent finding that astrocyte GTPase-activating…

Neurons and Cognition · Quantitative Biology 2024-06-19 JiaJia Li , Peihua Feng , Liang Zhao , Junying Chen , Mengmeng Du , Yangyang Yu , Jian Song , Ying Wu

Neurons in the central nervous system are affected by complex and noisy signals due to fluctuations in their cellular environment and in the inputs they receive from many other cells 1,2. Such noise usually increases the probability that a…

Neurons and Cognition · Quantitative Biology 2008-05-06 Boris S. Gutkin , Juergen Jost , Henry C. Tuckwell

Conventional analysis of neuroscience data involves computing average neural activity over a group of trials and/or a period of time. This approach may be particularly problematic when assessing the response patterns of neurons to more than…

In this paper, we develop a mathematical framework for modeling the time-variant stochastic channels of diffusive mobile MC systems. In particular, we consider a diffusive mobile MC system consisting of a pair of transmitter and receiver…

Information Theory · Computer Science 2018-07-12 Arman Ahmadzadeh , Vahid Jamali , Robert Schober

We consider a sequential cascade of molecular first-reaction events towards a terminal reaction centre in which each reaction step is controlled by diffusive motion of the particles. The model studied here represents a typical reaction…

Biological Physics · Physics 2021-10-13 Denis S. Grebenkov , Ralf Metzler , Gleb Oshanin

Statistical modal Energy distribution Analysis (SmEdA) can be used as an alternative to Statistical Energy Analysis for describing subsystems with low modal overlap. In its original form, SmEdA predicts the power flow exchanged between the…

Classical Physics · Physics 2013-11-04 Laurent Maxit , Kerem Ege , Nicolas Totaro , Jean-Louis Guyader

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
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