ArticleScientific reports2018
First passage events in biological systems with non-exponential inter-event times.
Article in Scientific reports, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Decoding cellular population dynamics through mechanistic modelling and statistical data analysis.NPJ systems biology and applications · 2026Review
- A multi-step completion process model of cell plasticity.Briefings in bioinformatics · 2025Article
- An accurate probabilistic step finder for time-series analysis.Biophysical journal · 2024Article
- Stochastic journeys of cell progenies through compartments and the role of self-renewal, symmetric and asymmetric division.Scientific reports · 2024Article
- Distribution modeling quantifies collective TScience advances · 2023Article
- Dissecting the dynamic transcriptional landscape of early T helper cell differentiation into Th1, Th2, and Th1/2 hybrid cells.Frontiers in immunology · 2022Article
- Modeling the Waves of Covid-19.Acta biotheoretica · 2021Article
- Stochastic nonlinear model for somatic cell population dynamics during ovarian follicle activation.Journal of mathematical biology · 2021Article
- Momentum managing epidemic spread and Bessel functions.Chaos, solitons, and fractals · 2020Article
- Stochastic dynamics of Francisella tularensis infection and replication.PLoS computational biology · 2020Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
It is often possible to model the dynamics of biological systems as a series of discrete transitions between a finite set of observable states (or compartments). When the residence times in each state, or inter-event times more generally, are exponentially distributed, then one can write a set of ordinary differential equations, which accurately describe the evolution of mean quantities. Non-exponential inter-event times can also be experimentally observed, but are more difficult to analyse mathematically. In this paper, we focus on the computation of first passage events and their probabilities in biological systems with non-exponential inter-event times. We show, with three case studies from Molecular Immunology, Virology and Epidemiology, that significant errors are introduced when drawing conclusions based on the assumption that inter-event times are exponentially distributed. Our approach allows these errors to be avoided with the use of phase-type distributions that approximate arbitrarily distributed inter-event times.
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Registered trials
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