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In this work we investigate some asymptotic properties of an age-structured Lotka-Volterra model, where a specific choice of the functional parameters allows us to formulate it as a delayed problem, for which we prove the existence of a…

Analysis of PDEs · Mathematics 2020-02-25 Antoine Perasso , Quentin Richard

The mortality rate of many complex multicellular organisms increase with age, which suggests that net aging damage is accumulative, despite remodeling processes. But how exactly do little mishaps in the cellular level accumulate and spread…

Tissues and Organs · Quantitative Biology 2017-12-12 Daniel Suma , Aylin Acun , Pinar Zorlutuna , Dervis Can Vural

Diverse analysis approaches have been proposed to distinguish data missing due to death from nonresponse, and to summarize trajectories of longitudinal data truncated by death. We demonstrate how these analysis approaches arise from…

Methodology · Statistics 2010-01-18 Brenda F. Kurland , Laura L. Johnson , Brian L. Egleston , Paula H. Diehr

Demographic data and recent experiments verify earlier predictions that mortality has short (few percent of the life span) memory of the previous life history, may be significantly decreased, reset to its value at a much younger age, and…

Quantitative Methods · Quantitative Biology 2007-05-23 Mark Ya. Azbel'

Recently we developed a new framework in Hirz et al (2015) to model stochastic mortality using extended CreditRisk$^+$ methodology which is very different from traditional time series methods used for mortality modelling previously. In this…

Computational Finance · Quantitative Finance 2015-07-28 Pavel V. Shevchenko , Jonas Hirz , Uwe Schmock

The mean-field dynamics of a particle in a random, but short range correlated potential, offers the opportunity of observing both aging and driven stationary regimes. Using a geometrical approach previously introduced by the author, we…

Condensed Matter · Physics 2009-10-31 Fabrice Thalmann

This work introduces a new problem, named as, affinity classification problem which is a generalization of the density classification problem. To solve this problem, we introduce temporally stochastic cellular automata where two rules are…

Formal Languages and Automata Theory · Computer Science 2022-07-13 Kamalika Bhattacharjee , Subrata Paul , Sukanta Das

Two ageing models were analysed whether they can confirm that the dauer mutation of the nematode helps to preserve the species. As a result the Penna model shows that populations with dauer larvae survive bad environmental conditions,…

Populations and Evolution · Quantitative Biology 2009-11-10 Kerstin Colonius

For many applications of agent-based models (ABMs), an agent's age influences important decisions (e.g. their contribution to/withdrawal from pension funds, their level of risk aversion in decision-making, etc.) and outcomes in their life…

Multiagent Systems · Computer Science 2023-03-31 Kathyrn R. Fair , Omar A. Guerrero

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

We investigate the aging properties of the one-dimensional voter model with long-range interactions in its ordering kinetics. In this system, an agent $S_i=\pm 1$ positioned at a lattice vertex $i$, copies the state of another one located…

Statistical Mechanics · Physics 2024-06-05 Federico Corberi , Luca Smaldone

Alzheimer's Disease and normal aging are both characterized by brain atrophy. The question of whether AD-related brain atrophy represents accelerated aging or a neurodegeneration process distinct from that in normal aging remains…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Jingru Fu , Daniel Ferreira , Örjan Smedby , Rodrigo Moreno

Age-specific life-table death counts observed over time are examples of densities. Non-negativity and summability are constraints that sometimes require modifications of standard linear statistical methods. The centered log-ratio…

Methodology · Statistics 2025-10-28 Han Lin Shang , Steven Haberman

We consider the dynamics of a simple one dimensional model and we discuss the phenomenon of aging (i.e., the strong dependence of the dynamical correlation functions over the waiting time). Our model is the so-called random random walk, the…

Condensed Matter · Physics 2009-10-22 Enzo Marinari , Giorgio Parisi

A task-specific model trained on 212,231 UK Biobank subjects to predict vascular age from PPG (AI-PPG Age) fails on a different clinical population: predictions collapse to a narrow 38-67 year range regardless of true age. Meanwhile, a…

Machine Learning · Computer Science 2026-03-17 N. Brag

We prove the well-posedness of a differential equation that describes the evolution of the large-system limit of the empirical age measure in the mean field forest fire model of R\'ath and T\'oth (arXiv:0808.2116). This forest fire model is…

Analysis of PDEs · Mathematics 2020-07-14 Edward Crane

This research explores how total mortality figures relate to age-standardized death rates within the United States, using the complete historical record of national mortality statistics. Through a detailed investigation of both all-cause…

Other Quantitative Biology · Quantitative Biology 2026-01-21 Brandon Dunbar , Paramahansa Pramanik , Haley Kate Robinson

Aging remains a fundamental open problem in modern biology. Although there exist a number of theories on aging on the cellular scale, nearly nothing is known about how microscopic failures cascade to macroscopic failures of tissues, organs…

Tissues and Organs · Quantitative Biology 2017-07-10 Aylin Acun , Dervis Can Vural , Pinar Zorlutuna

We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition…

Statistical Mechanics · Physics 2009-10-30 M. E. J. Newman , Cristopher Moore

In this paper we investigate the flexibility of matrix distributions for the modeling of mortality. Starting from a simple Gompertz law, we show how the introduction of matrix-valued parameters via inhomogeneous phase-type distributions can…

Methodology · Statistics 2022-08-03 Hansjoerg Albrecher , Martin Bladt , Mogens Bladt , Jorge Yslas