ArticleJournal of mathematical biology2018
Multiscale model within-host and between-host for viral infectious diseases.
Article in Journal of mathematical biology, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 13 papers.
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Who cites it
13 citing papers in PubMed.
- Random time-shift approximation enables hierarchical Bayesian inference of mechanistic within-host viral dynamics models on large datasets.PLoS computational biology · 2025Article
- Linking within-host immune dynamics to between-host transmission and reinfection risk.Journal of theoretical biology · 2025Article
- Modeling and analysis of the effect of optimal virus control on the spread of HFMD.Scientific reports · 2024Article
- Linking within- and between-host scales for understanding the evolutionary dynamics of quantitative antimicrobial resistance.Journal of mathematical biology · 2023Article
- Modulating Immune Response in Viral Infection for Quantitative Forecasts of Drug Efficacy.Pharmaceutics · 2023Review
- Stability analysis in COVID-19 within-host model with immune response.Communications in nonlinear science & numerical simulation · 2021Article
- Data-driven methods for present and future pandemics: Monitoring, modelling and managing.Annual reviews in control · 2021Review
- Optimal Allocation of Vaccine and Antiviral Drugs for Influenza Containment over Delayed Multiscale Epidemic Model considering Time-Dependent Transmission Rate.Computational and mathematical methods in medicine · 2021Article
- Distribution of Transmission Potential During Nonsevere COVID-19 Illness.Clinical infectious diseases : an official publication of the Infectious Diseases Society of America · 2020Article
- Structure and Hierarchy of SARS-CoV-2 Infection Dynamics Models Revealed by Reaction Network Analysis.Viruses · 2020Article
- A theoretical framework for transitioning from patient-level to population-scale epidemiological dynamics: influenza A as a case study.Journal of the Royal Society, Interface · 2020Article
- In-host Mathematical Modelling of COVID-19 in Humans.Annual reviews in control · 2020Article
- High-resolution epidemic simulation using within-host infection and contact data.BMC public health · 2018Article
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Authors and funding
3 authors.
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Abstract
Multiscale models possess the potential to uncover new insights into infectious diseases. Here, a rigorous stability analysis of a multiscale model within-host and between-host is presented. The within-host model describes viral replication and the respective immune response while disease transmission is represented by a susceptible-infected model. The bridging of scales from within- to between-host considered transmission as a function of the viral load. Consequently, stability and bifurcation analyses were developed coupling the two basic reproduction numbers [Formula: see text] and [Formula: see text] for the within- and the between-host subsystems, respectively. Local stability results for each subsystem, including a unique stable equilibrium point, recapitulate classical approaches to infection and epidemic control. Using a Lyapunov function, global stability of the between-host system was obtained. Our main result was the derivation of the [Formula: see text] as an increasing function of [Formula: see text]. Numerical analyses reveal that a Michaelis-Menten form based on the virus is more likely to recapitulate the behavior between the scales than a form directly proportional to the virus. Our work contributes basic understandings of the two models and casts light on the potential effects of the coupling function on linking the two scales.
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