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Ageing's sensitivity to natural selection has long been discussed because of its apparent negative effect on individual's fitness. Thanks to the recently described (Smurf) 2-phase model of ageing we were allowed to propose a fresh angle for…

Probability · Mathematics 2019-05-17 Sylvie Méléard , Michael Rera , Tristan Roget

If predictions for species extinctions hold, then the `tree of life' today may be quite different to that in (say) 100 years. We describe a technique to quantify how much each species is likely to contribute to future biodiversity, as…

Populations and Evolution · Quantitative Biology 2007-05-23 Mike Steel , Aki Mimoto , Arne O. Mooers

We use a combination of extreme value theory, survival analysis and computer-intensive methods to analyze the mortality of Italian and French semi-supercentenarians for whom there are validated records. After accounting for the effects of…

Applications · Statistics 2021-10-01 Léo R. Belzile , Anthony C. Davison , Holger Rootzén , Dmitrii Zholud

In this paper we investigate a structured population model with distributed delay. Our model incorporates two different types of nonlinearities. Specifically we assume that individual growth and mortality are affected by scramble…

Analysis of PDEs · Mathematics 2023-07-18 Dandan Hu , József Z. Farkas , Gang Huang

In studies involving lifetimes, observed survival times are frequently censored and possibly subject to biased sampling. In this paper, we model survival times under biased sampling (a.k.a., biased survival data) by a semi-parametric model,…

Statistics Theory · Mathematics 2007-06-13 Jiayang Sun , Bin Wang

Theoretical estimates for the lifetimes of several isotopes of heavy elements with Z=102-120 are presented by calculating the quantum mechanical tunneling probability in a WKB framework and using microscopic nucleus-nucleus potential…

Nuclear Theory · Physics 2007-06-13 C. Samanta , P. Roy Chowdhury , D. N. Basu

Density dependence is important in the ecology and evolution of microbial and cancer cells. Typically, we can only measure net growth rates, but the underlying density-dependent mechanisms that give rise to the observed dynamics can…

Populations and Evolution · Quantitative Biology 2025-06-04 Linh Huynh , Jacob G. Scott , Peter J. Thomas

In this paper we present a new modelling framework combining replicator dynamics (which is the standard model of frequency dependent selection) with the model of an age-structured population. The new framework allows for the modelling of…

Populations and Evolution · Quantitative Biology 2021-04-01 Krzysztof Argasinski , Mark Broom

The classical Luria-Delbr\"uck model for fluctuation analysis is extended to the case where cells can either divide or die at the end of their generation time. This leads to a family of probability distributions generalizing the…

Populations and Evolution · Quantitative Biology 2013-05-30 Bernard Ycart

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

Degradation modeling has traditionally relied on historical signals to estimate the behavior of the underlying degradation process. Many models assume that these historical signals are acquired under the same environmental conditions and…

Applications · Statistics 2014-12-04 Rensheng Zhou , Nicoleta Serban , Nagi Gebraeel

The non-parametric bootstrap method is used to evaluate the uncertainties of two $\alpha$ decay formulas, the universal decay law (UDL) and the new Geiger-Nuttall law (NGNL). Such a method can simultaneously obtain the uncertainty of each…

Nuclear Theory · Physics 2020-05-20 Boshuai Cai , Guangshang Chen , Jiongyu Xu , Cenxi Yuan , Chong Qi , Yuan Yao

We propose a new theory for aging based on dynamical systems and provide a data-driven computational method to quantify the changes at the cellular level. We use ergodic theory to decompose the dynamics of changes during aging and show that…

Quantitative Methods · Quantitative Biology 2025-04-18 Farhan Khodaee , Rohola Zandie , Yufan Xia , Elazer R. Edelman

We have simulated demographic changes in the human population using the Penna microscopic model, based on the simple Monte Carlo method. The results of simulations have shown that during a few generations changes in the genetic pool of a…

Statistical Mechanics · Physics 2007-05-23 A. Laszkiewicz , Sz. Szymczak , S. Cebrat

We present results for the aging dynamics of a jammed 2D colloidal system obtained with molecular dynamics simulations. We performed extensive simulations to gather detailed statistics about rare rearrangement events. With a simple…

Soft Condensed Matter · Physics 2019-01-16 Dominic M. Robe , Stefan Boettcher

Understanding how stochastic and non-linear deterministic processes interact is a major challenge in population dynamics theory. After a short review, we introduce a stochastic individual-centered particle model to describe the evolution in…

Probability · Mathematics 2009-06-29 Regis Ferriere , Viet Chi Tran

In many biological systems, chemical reactions or changes in a physical state are assumed to occur instantaneously. For describing the dynamics of those systems, Markov models that require exponentially distributed inter-event times have…

Populations and Evolution · Quantitative Biology 2020-07-06 Wasiur R. KhudaBukhsh , Hye-Won Kang , Eben Kenah , Grzegorz A. Rempala

Recently, authors have studied inequalities involving expectations of selected functions viz. failure rate, mean residual life, aging intensity function and log-odds rate which are defined for left truncated random variables in reliability…

Statistics Theory · Mathematics 2016-04-27 Chanchal Kundu , Amit Ghosh

Multivariate functional data that are cross-sectionally compositional data are attracting increasing interest in the statistical modeling literature, a major example being trajectories over time of compositions derived from cause-specific…

Methodology · Statistics 2023-11-21 Emanuele Giovanni Depaoli , Marco Stefanucci , Stefano Mazzuco

In this paper, we proposed an evolving model via the hypergraph to illustrate the evolution of the citation network. In the evolving model, we consider the mechanism combined with preferential attachment and the aging influence. Simulation…

Physics and Society · Physics 2014-06-05 Feng Hu , Hai-Xing Zhao , Xiu-Xiu Zhan , Chuang Liu , Zi-Ke Zhang