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We investigate the thermodynamics as well as the population dynamics of ecosystems based on a stochastic approach in which the number of individuals of the several species of the ecosystem are treated as stochastic variables. The several…

Statistical Mechanics · Physics 2024-05-31 Tânia Tomè , Mário J. de Oliveira

Living systems evolve one mutation at a time, but a single mutation can alter the effect of subsequent mutations. The underlying mechanistic determinants of such epistasis are unclear. Here, we demonstrate that the physical dynamics of a…

Populations and Evolution · Quantitative Biology 2019-10-22 Kabir Husain , Arvind Murugan

Phenotypically structured equations arise in population biology to describe the interaction of species with their environment that brings the nutrients. This interaction usually leads to selection of the fittest individuals. Models used in…

Analysis of PDEs · Mathematics 2015-06-18 Alexander Lorz , Benoit Perthame

The degrees of freedom of multi-compartment mathematical models for energy metabolism of a neuron-astrocyte complex may offer a key to understand the different ways in which the energetic needs of the brain are met. In this paper we address…

Quantitative Methods · Quantitative Biology 2014-12-19 Daniela Calvetti , Yougan Cheng , Erkki Somersalo

Macromolecules occupy between 34 and 44% of the cell cytoplasm, about half the maximum pack- ing density of spheres in three dimension. Yet, there is no clear understanding of what is special about this value. To address this fundamental…

Molecular Networks · Quantitative Biology 2010-05-11 Alexei Vazquez

Obesity, the leading cause of many non-communicable diseases, occurs mainly for eating more than our body requirements and lack of proper activity. So, being healthy requires heathy diet plans, especially for patients with comorbidities.…

Machine Learning · Computer Science 2023-08-08 Mrinmoy Roy , Srabonti Das , Anica Tasnim Protity

This paper presents a conceptual model describing the medium and long-term co-evolution of natural and socio-economic subsystems of Earth. An economy is viewed as an out-of-equilibrium dissipative structure that can only be maintained with…

General Economics · Economics 2022-05-09 Éric Herbert , and Gael Giraud , Aurélie Louis-Napoléon , Christophe Goupil

We introduce and study a class of active matter models in which we keep track of fuel (stored energy) consumption. They are by construction, thermodynamically consistent. Using these models it is possible for us to observe and follow how…

Soft Condensed Matter · Physics 2025-07-22 Tanniemola B. Liverpool , Kristian K. Müller-Nedebock , Xichen Chao , Chang Yuan

The process of evolution by natural selection leads to phenotypes of increasing fitness. For cellular chemical reaction networks, this means optimising a variety of fitness functions such as robustness, precision, or sensitivity to external…

Soft Condensed Matter · Physics 2026-02-16 Tanja Schilling , Patrick B. Warren , Wilson Poon

Dynamic Hubbard models are extensions of the conventional Hubbard model that take into account the fact that atomic orbitals expand upon double occupancy. It is shown here that systems described by dynamic Hubbard models have a tendency to…

Strongly Correlated Electrons · Physics 2013-07-25 J. E. Hirsch

The exact equations of motion for microscopic density of classical many-body system with account of inter-particle retarded interactions are derived. It is shown that interactions retardation leads to irreversible behaviour of many-body…

Statistical Mechanics · Physics 2015-09-22 A. Yu. Zakharov , M. A. Zakharov

In recent years, machine learning methods have been widely used to study physical systems that are challenging to solve with governing equations. Physicists and engineers are framing the data-driven paradigm as an alternative approach to…

Computational Physics · Physics 2020-07-02 Jong-Hoon Ahn

Extending hyperuniformity from classical to quantum fluctuations in electron systems yields a framework that identifies quantum phase transitions and reveals underlying gap structures through the quantum weight. We study long-wavelength…

Strongly Correlated Electrons · Physics 2026-01-27 Junmo Jeon , Shiro Sakai

The effects of mass imbalance in a three-component Hubbard model are studied by the dynamical mean-field theory combined with exact diagonalization. The model describes a fermion-fermion mixture of two different particle species with a mass…

Strongly Correlated Electrons · Physics 2015-04-01 Duong-Bo Nguyen , Duy-Khuong Phung , Van-Nham Phan , Minh-Tien Tran

A general theory of thermodynamically consistent biomechanical--biochemical growth in a body, considering mass addition in the bulk and at an incoherent interface, is developed. The incoherency arises due to incompatibility of growth and…

Biological Physics · Physics 2018-02-07 Digendranath Swain , Anurag Gupta

Aging is thought to be a consequence of intrinsic breakdowns in how genetic information is processed. But mounting experimental evidence suggests that aging can be slowed. To help resolve this mystery, I derive a mortality equation which…

Populations and Evolution · Quantitative Biology 2022-09-01 Thomas Fink

We analyze mathematical models of the global human population growth and compare them to actual dynamics of the world population and of the world surplus product. We consider a possibility that the so-called world's demographic transition…

Physics and Society · Physics 2009-11-23 Michael Golosovsky

We examine the dynamics of an age-structured population model in which the life expectancy of an offspring may be mutated with respect to that of the parent. While the total population of the system always reaches a steady state, the…

adap-org · Physics 2007-05-23 W. Hwang , P. L. Krapivsky , S. Redner

Representation of cities as organisms with metabolic processes is a useful analogy for urban design, development and sustainability. Urban metabolism can be modeled by representing urban systems as networks. The various networks included in…

Physics and Society · Physics 2026-04-09 Bharat Sharma , Abhilasha J. Saroj , Evan Scherrer , Melissa R. Allen-Dumas

We address a novel approach for stochastic individual-based modelling of a single species population. Individuals are distinguished by their remaining lifetimes, which are regulated by the interplay between the inexorable running of time…

Populations and Evolution · Quantitative Biology 2021-01-08 Luis R. T. Neves , Leonardo Paulo Maia
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