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A system far from equilibrium is characterized by unconventional many-body dynamical effects, which can lead to anomalous density fluctuations and mass transport. Interestingly, these structural and dynamic features often emerge…

Statistical Mechanics · Physics 2010-03-09 David A. Head , Hajime Tanaka

Constraints in the dynamics of quantum many-body systems can dramatically alter transport properties and relaxation timescales even in the absence of static disorder. Here, we report on the observation of such constrained dynamics arising…

Complex systems may be subject to various uncertainties. A great effort has been concentrated on predicting the dynamics under uncertainty in initial conditions. In the present work, we consider the well-known Burgers equation with random…

Classical Analysis and ODEs · Mathematics 2007-05-23 Dirk Blömker , Jinqiao Duan

In this paper we study the locomotion of a shape-changing body swimming in a two-dimensional perfect fluid of infinite extent. The shape-changes are prescribed as functions of time satisfying constraints ensuring that they result from the…

Optimization and Control · Mathematics 2009-10-29 Thomas Chambrion , Alexandre Munnier

Metabolic heterogeneity is widely recognised as the next challenge in our understanding of non-genetic variation. A growing body of evidence suggests that metabolic heterogeneity may result from the inherent stochasticity of intracellular…

Molecular Networks · Quantitative Biology 2020-10-08 Mona K Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

A classic problem in metabolism is that fast-proliferating cells use seemingly wasteful fermentation for energy biogenesis in the presence of sufficient oxygen. This counterintuitive phenomenon, known as overflow metabolism or the Warburg…

Biological Physics · Physics 2025-06-18 Xin Wang

OBJECTIVES: Changes in the way dietary fat is metabolized can be considered causative in obesity. The role of sedentary behavior in this defect has not been determined. We hypothesized that physical inactivity partitions dietary fats toward…

Training on class-imbalanced data usually results in biased models that tend to predict samples into the majority classes, which is a common and notorious problem. From the perspective of energy-based model, we demonstrate that the free…

Machine Learning · Computer Science 2021-06-08 Bowen Zhao , Chen Chen , Qi Ju , ShuTao Xia

In large asexual populations, multiple beneficial mutations arise in the population, compete, interfere with each other, and accumulate on the same genome, before any of them fix. The resulting dynamics, although studied by many authors, is…

Populations and Evolution · Quantitative Biology 2015-06-11 Daniel S. Fisher

One of the major research questions regarding human microbiome studies is the feasibility of designing interventions that modulate the composition of the microbiome to promote health and cure disease. This requires extensive understanding…

Methodology · Statistics 2021-11-18 Matthew D. Koslovsky , Kristi L. Hoffman , Carrie R. Daniel , Marina Vannucci

The growth function of populations is central in biomathematics. The main dogma is the existence of density dependence mechanisms, which can be modelled with distinct functional forms that depend on the size of the population. One important…

Populations and Evolution · Quantitative Biology 2010-10-15 Harold P. de Vladar

In the present paper a new concept is introduced that: `mass is a complex quantity'. The concept of complex-mass suggests that the total mass M of a moving body is complex sum of: (i) the real-part (grain or rest) mass $m_{g}$ establishing…

General Physics · Physics 2012-02-28 R. C. Gupta , Anirudh Pradhan , Sushant Gupta

We present a whole-body model of human metabolism that utilizes a system of organs and blood vessels to simulate the enzymatic reactions. The model focuses on key organs, including the brain, heart and lungs, liver, gut, and kidney, as well…

Quantitative Methods · Quantitative Biology 2023-08-01 Jacob Bendsen , Peter Emil Carstensen , Asbjørn Thode Reenberg , Tobias K. S. Ritschel , John Bagterp Jørgensen

We address the problem of controlling a dynamical system governing the motion of a 3D weighted shape changing body swimming in a perfect fluid. The rigid displacement of the swimmer results from the exchange of momentum between prescribed…

Optimization and Control · Mathematics 2011-03-30 Thomas Chambrion , Alexandre Munnier

Two generically different but universal dynamical quantum many-body behaviors are discovered by probing the stability of trapped fragmented bosonic systems with strong repulsive finite/long range inter-particle interactions. We use…

Quantum Gases · Physics 2014-10-21 Oksana I. Streltsova , Ofir E. Alon , Lorenz S. Cederbaum , Alexej I. Streltsov

This paper studies a chemotaxis system where cells move in response to a chemical signal within a confined habitat. The model includes external source terms that combine local and nonlocal growth with dampening effects. The main focus is on…

Analysis of PDEs · Mathematics 2025-11-11 Rafael Diaz Fuentes , Fatma Gamze Duzgun , Silvia Frassu , Giuseppe Viglialoro

Competition between individuals drives the evolution of whole species. Although the fittest individuals survive the longest and produce the most offspring, in some circumstances the resulting species may not be optimally fit. Here, using…

Populations and Evolution · Quantitative Biology 2015-09-24 Tim Rogers , Alan J. McKane

In order to increase the efficiency of the computer simulation of biological molecules, it is very common to impose holonomic constraints on the fastest degrees of freedom; normally bond lengths, but also possibly bond angles. However, as…

Chemical Physics · Physics 2011-12-19 Pablo Echenique , Claudio N. Cavasotto , Pablo García-Risueño

Resource are often not uniformly distributed within a population. Spatial variations of concentration of a resource, change the fitness of competing strategies locally. The notion of fitness varying with respect to both genotype and…

Populations and Evolution · Quantitative Biology 2022-04-08 Hossein Nemati , Mohammad Reza Ejtehadi , Kamran Kaveh

Extended Thermodynamics is a very important theory: for example, it predicts hyperbolicity, finite speeds of propagation waves as well as continuous dependence on initial data. Therefore, it constitutes a significative improvement of…

Mathematical Physics · Physics 2007-05-23 Sebastiano Pennisi , Maria Cristina Carrisi , Antonio Scanu