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A theory of aging based on the principles of the kinetics of chemical reactions and the rules of natural selection of organisms is proposed. The theory is based on a hypothesis that the biochemical processes in the organism can be described…

Populations and Evolution · Quantitative Biology 2024-01-09 Alexey Kondyurin

The gradual accumulation of damage and dysregulation during the aging of living organisms can be quantified. Even so, the aging process is complex and has multiple interacting physiological scales -- from the molecular to cellular to whole…

Quantitative Methods · Quantitative Biology 2021-05-06 Spencer Farrell , Garrett Stubbings , Kenneth Rockwood , Arnold Mitnitski , Andrew Rutenberg

Aging research has produced powerful explanatory frameworks -- evolutionary theories, the Hallmarks of Aging, SENS, geroscience, hyperfunction, and information-loss models -- yet none provides quantitative rules for determining which…

Molecular Networks · Quantitative Biology 2026-05-19 Alex Zhavoronkov

The spread of a particular trait in a cell population often is modelled by an appropriate system of ordinary differential equations describing how the sizes of subpopulations of the cells with the same genome change in time. On the other…

Dynamical Systems · Mathematics 2016-05-26 J. Banasiak , A. Falkiewicz

This chapter reviews some aspects of the theory of age-structured models of populations with finite maximum age. We formulate both the renewal equation for the birth rate and the partial differential equation for the age density, and show…

Populations and Evolution · Quantitative Biology 2025-10-21 Odo Diekmann , Francesca Scarabel

When predicting the fate and consequences of recurring deleterious mutations in self-fertilising populations most models developed make the assumption that populations have discrete non-overlapping generations. This makes them biologically…

Populations and Evolution · Quantitative Biology 2016-04-22 Diala Abu Awad , Viet-Chi Tran , Sylvain Billiard

Lifespan distributions of populations of quite diverse species such as humans and yeast seem to surprisingly well follow the same empirical Gompertz-Makeham law, which basically predicts an exponential increase of mortality rate with age.…

Quantitative Methods · Quantitative Biology 2011-10-18 André Grüning , Aasis Vinayak PG

The analysis of the demographic transition of the past century and a half, using both empirical data and mathematical models, has rendered a wealth of well-established facts, including the dramatic increases in life expectancy. Despite…

Populations and Evolution · Quantitative Biology 2018-07-02 Albert Solé-Ribalta , Javier Borge-Holthoefer

It is now increasingly realized that the underlying mechanism which governs aging (ageing) is a complex interplay of genetic regulation and damage-accumulation. "Aging as a result of accumulation of 'faults' on cellular and molecular…

Tissues and Organs · Quantitative Biology 2011-03-31 Jicun Wang , Thomas Michelitsch , Arne Wunderlin , Ravi Mahadeva

Many life-history traits, like the age at maturity or adult longevity, are important determinants of the generation time. For instance, semelparous species whose adults reproduce once and die have shorter generation times than iteroparous…

Populations and Evolution · Quantitative Biology 2016-04-22 Mélissa Verin , Salomé Bourg , Frédéric Menu , Etienne Rajon

The evolutionary origins of ageing and age-associated diseases continue to pose a fundamental question in biology. This study is concerned with a recently proposed framework, which conceptualises development and ageing as a continuous…

Populations and Evolution · Quantitative Biology 2025-09-11 Alessandro Fontana

Aging is a universal consequence of life, yet researchers have identified no universal theme. This manuscript considers aging from the perspective of entropy, wherein things fall apart. We first examine biological information change as a…

Populations and Evolution · Quantitative Biology 2026-04-13 Stephan Baehr , Hans Baehr

We present an individual based model of evolutionary ecology. The reproduction rate of individuals characterized by their genome depends on the composition of the population in genotype space. Ecological features such as the taxonomy and…

Statistical Mechanics · Physics 2016-08-31 Matt Hall , Kim Christensen , Simone A. di Collobiano , Henrik Jeldtoft Jensen

Many real-world complex networks arise as a result of a competition between growth and rewiring processes. Usually the initial part of the evolution is dominated by growth while the later one rather by rewiring. The initial growth allows…

Statistical Mechanics · Physics 2020-10-07 Zdzislaw Burda , Michalina Kotwica , Krzysztof Malarz

Exact law of mortality dynamics in changing populations and environment is derived. The law is universal for all species, from single cell yeast to humans. It includes no characteristics of animal- environment interactions (metabolism etc)…

Populations and Evolution · Quantitative Biology 2009-11-10 Mark Ya. Azbel'

Aging, the process of growing old or maturing, is one of the most widely seen natural phenomena in the world. For the stochastic processes, sometimes the influence of aging can not be ignored. For example, in this paper, by analyzing the…

Chemical Physics · Physics 2017-11-30 Wanli Wang , Weihua Deng

Aging, as defined in terms of the slope of the probability of death versus time (hazard curve), is a generic phenomenon observed in nearly all complex systems. Theoretical models of aging predict hazard curves that monotonically increase in…

Biological Physics · Physics 2023-12-20 Cagatay Eskin , Dervis C. Vural

An adult human body is made up of some 30 to 40 trillion cells, all of which stem from a single fertilized egg cell. The process by which the right cells appear to arrive in their right numbers at the right time at the right place --…

Subcellular Processes · Quantitative Biology 2024-12-20 Sean T. Vittadello , Léo Diaz , Yujing Liu , Adriana Zanca , Michael P. H. Stumpf

General functions for human survival and mortality may support a possibility of general mechanisms in human ageing. We discovered that the survival and mortality curves could be described very simply and accurately by the Weibull survival…

Populations and Evolution · Quantitative Biology 2007-05-23 Byung Mook Weon

The aim of this study is to compare the growth speed of different cell populations measured by their Malthus parameter. We focus on both the age-structured and size-structured equations. A first population (of reference) is composed of…

Probability · Mathematics 2017-03-02 Adélaïde Olivier