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We introduce the following model for the evolution of a population. At every discrete time $j\geq 0$ exactly one individual is introduced in the population and is assigned a death probability $c_j$ sampled from $C$, a fixed probability…

Probability · Mathematics 2023-07-20 Luiz Renato Fontes , Fabio P. Machado , Rinaldo B. Schinazi

Investigation of age-related genes is of great importance for multiple purposes, for instance, improving our understanding of the mechanism of ageing, increasing life expectancy, age prediction, and other healthcare applications. In his…

Genomics · Quantitative Biology 2021-11-05 Salman Mohamadi , Donald Adjeroh

Cardiovascular disease, the leading cause of death globally, is an age-related disease. Understanding the morphological and functional changes of the heart during ageing is a key scientific question, the answer to which will help us define…

Image and Video Processing · Electrical Eng. & Systems 2022-10-11 Mengyun Qiao , Berke Doga Basaran , Huaqi Qiu , Shuo Wang , Yi Guo , Yuanyuan Wang , Paul M. Matthews , Daniel Rueckert , Wenjia Bai

Joint modeling of longitudinal and survival data has become increasingly important in medical research, particularly for understanding disease progression in chronic conditions where both repeated biomarker measurements and time-to-event…

Methodology · Statistics 2025-12-30 Nithisha Suryadevara , Vivek Reddy Srigiri

This work proposes a way to detect the wandering activity of Alzheimer's patients from path data collected from non-intrusive indoor sensors around the house. Due to the lack of adequate data, we've manually generated a dataset of 220 paths…

Computer Vision and Pattern Recognition · Computer Science 2020-12-25 Rafael F. C. Oliveira , Fabio Barreto , Raphael Abreu

A large amount of population models use the concept of a carrying capacity. Simulated populations are bounded by invoking finite resources through a survival probability, commonly referred to as the Verhulst factor. The fact, however, that…

Populations and Evolution · Quantitative Biology 2015-05-19 C. M. N. Pinol , R. S. Banzon

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

Data describing the growth of the world population in the past 12,000 years are analysed. It is shown that, if unchecked, population does not increase exponentially but hyperbolically. This analysis reveals three approximately-determined…

Populations and Evolution · Quantitative Biology 2016-01-21 Ron W. Nielsen

Accurate estimates of subnational populations are important for policy formulation and monitoring population health indicators. For example, estimates of the number of women of reproductive age are important to understand the population at…

Applications · Statistics 2021-02-16 Monica Alexander , Leontine Alkema

As global population aging intensifies, there is growing interest in the study of biological age. Bones have long been used to evaluate biological age, and the decline in bone density with age is a well-recognized phenomenon in adults.…

Many theories have been proposed to answer two questions on aging: "Why do we age?" and "How do we age?" Among them, evolutionary theories are proposed to interpret the evolutionary advantage of aging, and "saving resources for group…

Other Quantitative Biology · Quantitative Biology 2017-01-04 Jicun Wang-Michelitsch , Thomas Michelitsch

We consider a model of asexually reproducing individuals. The birth and death rates of the individuals are affected by a fitness parameter. The rate of mutations that cause the fitnesses to change is proportional to the population size, N.…

Probability · Mathematics 2013-07-24 Michael Kelly

This article presents a comprehensive study of the continuous McKendrick model, which serves as a foundational framework in population dynamics and epidemiology. The model is formulated through partial differential equations that describe…

Populations and Evolution · Quantitative Biology 2026-01-23 Dragos-Patru Covei

The United Nations released official probabilistic population projections (PPP) for all countries for the first time in July 2014. These were obtained by projecting the period total fertility rate (TFR) and life expectancy at birth ($e_0$)…

Applications · Statistics 2016-08-08 Hana Ševčíková , Nan Li , Vladimíra Kantorová , Patrick Gerland , Adrian E. Raftery

We consider a branching model in discrete time where each individual has a trait in some general state space. Both the reproduction law and the trait inherited by the offsprings may depend on the trait of the mother and the environment. We…

Probability · Mathematics 2013-11-26 Vincent Bansaye

Most population projection models require age-specific information on net migration totals as a key demographic component of population change. Existing methods for predicting future patterns of net migration by age have proven inadequate.…

Applications · Statistics 2024-11-18 Hana Ševčíková , James Raymer , Adrian E. Raftery

We present a statistical approach for estimating the age of Globular Clusters by measurement of the likelihood between the observed cluster sequences in the Colour--Magnitude Diagram and the synthetic cluster sequences computed from stellar…

Astrophysics · Physics 2009-11-07 Miriam Rengel , Gustavo Bruzual

Using a temporal version of the Copernican principle, Gott has proposed a statistical predictor of future longevity based on present age [J. R. Gott III, Nature 363, 315 (1993)] and applied the predictor to a variety of examples, including…

Astrophysics · Physics 2009-10-31 Carlton M. Caves

The human brain's white matter (WM) structure is of immense interest to the scientific community. Diffusion MRI gives a powerful tool to describe the brain WM structure noninvasively. To potentially enable monitoring of age-related changes…

Image and Video Processing · Electrical Eng. & Systems 2022-02-09 Hao He , Fan Zhang , Steve Pieper , Nikos Makris , Yogesh Rathi , William Wells , Lauren J. O'Donnell

Darwin's theory of evolution is considered to be one of the greatest scientific gems in modern science. It not only gives us a description of how living things evolve, but also shows how a population evolves through time and also, why only…

Machine Learning · Computer Science 2013-12-18 Arka Bhattacharya
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