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We study an energy relaxation process after many degrees of freedom are excited in a Hamiltonian system with a large number of degrees of freedom. Bottlenecks of relaxation, where relaxations of the excited elements are drastically slowed…

Statistical Mechanics · Physics 2009-11-10 Hidetoshi Morita , Kunihiko Kaneko

We consider a finite system of interacting point processes with memory of variable length modeling a finite but large network of spiking neurons with two different leakage mechanisms. Associated to each neuron there are two point processes,…

Probability · Mathematics 2022-12-21 Kádmo de S. Laxa

A ubiquitous building block of signaling pathways is a cycle of covalent modification (e.g., phosphorylation and dephosphorylation in MAPK cascades). Our paper explores the kind of information processing and filtering that can be…

Molecular Networks · Quantitative Biology 2015-05-13 Carlos Gomez-Uribe , George C. Verghese , Leonid A. Mirny

Cortical neurons emit seemingly erratic trains of action potentials or "spikes," and neural network dynamics emerge from the coordinated spiking activity within neural circuits. These rich dynamics manifest themselves in a variety of…

Neurons and Cognition · Quantitative Biology 2022-04-01 Braden A. W. Brinkman , Han Yan , Arianna Maffei , Il Memming Park , Alfredo Fontanini , Jin Wang , Giancarlo La Camera

Molecular dynamics simulations are widely used across chemistry, physics, and biology, providing quantitative insight into complex processes with atomic detail. However, their limited timescale of a few microseconds is a significant…

Chemical Physics · Physics 2025-04-10 Ofir Blumer , Barak Hirshberg

It has long been hypothesized that futile cycles in cellular metabolism are involved in the regulation of biochemical pathways. Following the work of Newsholme and Crabtree, we develop a quantitative theory for this idea based on…

Subcellular Processes · Quantitative Biology 2007-05-23 Hong Qian , Daniel A. Beard

One of simplest examples of navigation found in nature is run-and-tumble chemotaxis. Tumbles reorient cells randomly, and cells can drift toward attractants or away from repellents by biasing the frequency of these events. The post-tumble…

Soft Condensed Matter · Physics 2017-09-14 Julius B. Kirkegaard , Raymond E. Goldstein

The hyperbolic dependence of catalytic rate on substrate concentration is a classical result in enzyme kinetics, quantified by the celebrated Michaelis-Menten equation. The ubiquity of this relation in diverse chemical and biological…

Molecular Networks · Quantitative Biology 2021-02-24 Ashutosh Kumar , R. Adhikari , Arti Dua

Networks of biochemical reactions, like cellular metabolic networks, are kept in non-equilibrium steady states by the exchange fluxes connecting them to the environment. In most cases, feasible flux configurations can be derived from…

Molecular Networks · Quantitative Biology 2014-12-01 Daniele De Martino , Fabrizio Capuani , Andrea De Martino

Chemical processes in closed systems are poorly controllable since they always relax to equilibrium. Living systems avoid this fate and give rise to a much richer diversity of phenomena by operating under nonequilibrium conditions. Recent…

Chemical Physics · Physics 2019-09-11 Emanuele Penocchio , Riccardo Rao , Massimiliano Esposito

A novel approach to moment closure problem is used to derive low dimensional laws for the dynamics of the moments of the membrane potential distribution in a population of spiking neurons. Using spectral expansion of the density equation we…

Statistical Mechanics · Physics 2025-07-08 Gianni Valerio Vinci , Roberto Benzi , Maurizio Mattia

Cellular decision-making under stress involves rapid pathway selection despite energy scarcity. Here we demonstrate that thermodynamic constraints actively drive energy-efficient sporulation, where continuous metabolic sources enable system…

Molecular Networks · Quantitative Biology 2026-01-09 Eugenio Simao

We consider a reaction-diffusion process with retardation. The particles, immersed in traps initially, remain inactive until another particle is annihilated spontaneously with a rate $\lambda$ at a certain point $\vec x$. In that case the…

Statistical Mechanics · Physics 2015-06-25 Michael Schulz , Steffen Trimper , Knud Zabrocki

An important goal of medical research is to develop methods to recover the loss of cellular function due to mutations and other defects. Many approaches based on gene therapy aim to repair the defective gene or to insert genes with…

Molecular Networks · Quantitative Biology 2008-03-15 Adilson E. Motter , Natali Gulbahce , Eivind Almaas , Albert-Laszlo Barabasi

A growing amount of evidence points to the fact that many enzymes exhibit fluctuations in their catalytic activity, which are associated with conformational changes on a broad range of timescales. The experimental study of this phenomenon,…

Quantitative Methods · Quantitative Biology 2017-07-28 Ankit Gupta , Andreas Milias-Argeitis , Mustafa Khammash

The metabolism of cells is the most basic and important part of human function. Neural networks in deep learning stem from neuronal activity. It is self-evident that the significance of metabolize neuronal network(MetaNet) in model…

Neural and Evolutionary Computing · Computer Science 2018-09-05 Dan Dai , Zhiwen Yu , Yang Hu , Wenming Cao , Mingnan Luo

Stimulus from the environment that guides behavior and informs decisions is encoded in the firing rates of neural populations. Each neuron in the populations, however, does not spike independently: spike events are correlated from cell to…

Neurons and Cognition · Quantitative Biology 2012-07-24 Nicholas Cain , Eric Shea-Brown

Flux sampling is an analysis that, based on a distribution, picks randomly an efficient number of points from the solution space of a metabolic model. Unlike most constraint-based analyses, flux sampling does not require an objective…

Molecular Networks · Quantitative Biology 2026-04-01 Haris Zafeiropoulos , Daniel Rios Garza

Many phenomena in biology involve both reactions and chemotaxis. These processes can clearly influence each other, and chemotaxis can play an important role in sustaining and speeding up the reaction. In continuation of our earlier work, we…

Analysis of PDEs · Mathematics 2015-06-04 Alexander Kiselev , Lenya Ryzhik

Living cells use readout molecules to record the state of receptor proteins, similar to measurements or copies in typical computational devices. But is this analogy rigorous? Can cells be optimally efficient, and if not, why? We show that,…

Molecular Networks · Quantitative Biology 2017-04-12 Thomas E. Ouldridge , Christopher C. Govern , Pieter Rein ten Wolde