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Related papers: Simple mathematical model of aging

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The mammalian circadian system comprises a network of cell-autonomous oscillators, spanning from the central clock in the brain to peripheral clocks in other organs. These clocks are tightly coordinated to orchestrate rhythmic physiological…

Adaptation and Self-Organizing Systems · Physics 2022-12-29 Yitong Huang , Yuanzhao Zhang , Rosemary Braun

We use a simple model for biological ageing to study the mortality of the population, obtaining a good agreement with the Gompertz law. We also simulate the same model on a square lattice, considering different strategies of parental care.…

Statistical Mechanics · Physics 2009-11-07 A. O. Sousa , S. Moss de Oliveira , D. Stauffer

Stochastic kinetic models are often used to describe complex biological processes. Typically these models are analytically intractable and have unknown parameters which need to be estimated from observed data. Ideally we would have…

Computation · Statistics 2018-03-13 Richard J. Boys , Holly F. Ainsworth , Colin S. Gillespie

My analysis uses methods developed for data mining microarray experiments, adapted for ageing research. Methods bridge knowledge of statistical mechanics with data mining methods developed in statistical mathematics. Analyses can reveal how…

Quantitative Methods · Quantitative Biology 2012-12-11 Diana David-Rus

The question of why we age is a fundamental one. It is about who we are, and it also might have critical practical aspects as we try to find ways to age slower. Or to not age at all. Different reasons point at distinct strategies for the…

Populations and Evolution · Quantitative Biology 2020-11-10 André C. R. Martins

Ageing of organic glasses to the equilibrium liquid state is studied by measuring the dielectric loss utilizing a microregulator where temperature is controlled by means of a Peltier element. Compared to conventional equipment the new…

Soft Condensed Matter · Physics 2011-07-18 Niels Boye Olsen , Tina Hecksher , Kristine Niss , Jeppe C. Dyre

We demonstrate aging behavior in a simple non-linear system. Our model is a chaotic map which generates deterministically sub-diffusion. Asymptotic behaviors of the diffusion process are described using aging continuous time random walks,…

Statistical Mechanics · Physics 2007-05-23 E. Barkai

Recent biological evidence suggests the presence of a two-phase ageing process in several species. We introduce a system of two age-structured partial differential equations (PDE) representing two phases of ageing of a wild population. The…

Analysis of PDEs · Mathematics 2026-03-24 Luce Breuil

Being able to measure time, whether directly or indirectly, is a significant advantage for an organism. It permits it to predict regular events, and prepare for them on time. Thus, clocks are ubiquitous in biology. In the present paper, we…

Other Quantitative Biology · Quantitative Biology 2017-06-23 Andrei D. Robu , Christoph Salge , Chrystopher L. Nehaniv , Daniel Polani

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

Biological processes involve a variety of spatial and temporal scales. A holistic understanding of many biological processes therefore requires multi-scale models which capture the relevant properties on all these scales. In this manuscript…

Molecular Networks · Quantitative Biology 2015-06-23 Jan Hasenauer , Nick Jagiella , Sabrina Hross , Fabian J. Theis

We show aging of Glauber-type dynamics on the random energy model, in the sense that we obtain the scaling limits of the clock process and of the age process. The latter encodes the Gibbs weight of the configuration occupied by the…

Probability · Mathematics 2013-03-21 Pierre Mathieu , Jean-Christophe Mourrat

We investigate aging in glassy systems based on a simple model, where a point in configuration space performs thermally activated jumps between the minima of a random energy landscape. The model allows us to show explicitly a subaging…

Statistical Mechanics · Physics 2009-10-31 Bernd Rinn , Philipp Maass , Jean-Philippe Bouchaud

The long-time dynamics of the 1D contact process suddenly brought out of an uncorrelated initial state is studied through a light-cone transfer-matrix renormalisation group approach. At criticality, the system undergoes ageing which is…

Statistical Mechanics · Physics 2007-05-23 Tilman Enss , Malte Henkel , Alan Picone , Ulrich Schollwöck

We solve a lifecycle model in which the consumer's chronological age does not move in lockstep with calendar time. Instead, biological age increases at a stochastic non-linear rate in time like a broken clock that might occasionally move…

Mathematical Finance · Quantitative Finance 2018-11-27 Huaxiong Huang , Moshe A. Milevsky , Thomas S. Salisbury

Based on the study of cellular aging using the single-cell model organism of budding yeast and corroborated by other studies, we propose the Emergent Aging Model (EAM). EAM hypothesizes that aging is an emergent property of complex…

Quantitative Methods · Quantitative Biology 2024-07-09 Hong Qin

Ageing in systems without detailed balance is studied in the exactly solvable bosonic contact process and the critical bosonic pair-contact process. The two-time correlation function and the two-time response function are explicitly found.…

Statistical Mechanics · Physics 2011-07-19 Florian Baumann , Malte Henkel , Michel Pleimling , Jean Richert

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

As the global population continues to age, there is an increasing demand for ways to accurately quantify the biological processes underlying aging. Biological age, unlike chronological age, reflects an individual's physiological state,…

Quantitative Methods · Quantitative Biology 2025-08-29 Jared A Kushner , Mohit Pandey , Sandeep , S Kohli

The paper discusses a connection between asymmetric reproduction -- that is reproduction in a parent-child relationship where the parent does not mutate during reproduction --, the fact that all non-viral lifeforms bear genes of their…

Populations and Evolution · Quantitative Biology 2015-08-11 Norbert Michael Mayer