ArticleJournal of statistical physics
A Hierarchical Kinetic Theory of Birth, Death and Fission in Age-Structured Interacting Populations.
Article in Journal of statistical physics. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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Who cites it
11 citing papers in PubMed.
- Cell Population Dynamics Informed by Cell-Cycle Regulation: A Deterministic Modeling Toolkit.Computational and structural biotechnology journal · 2026Review
- Article
- Forecasting drug-overdose mortality by age in the United States at the national and county levels.PNAS nexus · 2024Article
- Modelling the impact of birth control policies on China's population and age: effects of delayed births and minimum birth age constraints.Royal Society open science · 2022Article
- A Refunding Scheme to Incentivize Narrow-Spectrum Antibiotic Development.Bulletin of mathematical biology · 2022Article
- The Stochastic Nature of Functional Responses.Entropy (Basel, Switzerland) · 2021Article
- Why case fatality ratios can be misleading: individual- and population-based mortality estimates and factors influencing them.Physical biology · 2020Article
- Why estimating population-based case fatality rates during epidemics may be misleading.medRxiv : the preprint server for health sciences · 2020Article
- PDE MODELS OF ADDER MECHANISMS IN CELLULAR PROLIFERATION.SIAM journal on applied mathematics · 2020Article
- Building the space elevator: lessons from biological design.Journal of the Royal Society, Interface · 2018Article
- Modeling large fluctuations of thousands of clones during hematopoiesis: The role of stem cell self-renewal and bursty progenitor dynamics in rhesus macaque.PLoS computational biology · 2018Article
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Authors and funding
2 authors.
Funding
Abstract
We develop mathematical models describing the evolution of stochastic age-structured populations. After reviewing existing approaches, we formulate a complete kinetic framework for age-structured interacting populations undergoing birth, death and fission processes in spatially dependent environments. We define the full probability density for the population-size age chart and find results under specific conditions. Connections with more classical models are also explicitly derived. In particular, we show that factorial moments for non-interacting processes are described by a natural generalization of the McKendrick-von Foerster equation, which describes mean-field deterministic behavior. Our approach utilizes mixed-type, multidimensional probability distributions similar to those employed in the study of gas kinetics and with terms that satisfy BBGKY-like equation hierarchies.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.