ArticleRoyal Society open science2021
A hybrid PDE-ABM model for viral dynamics with application to SARS-CoV-2 and influenza.
Article in Royal Society open science, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers, 1 of them a synthesis that pooled it.
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Who cites it
15 citing papers in PubMed, 1 synthesis or guideline pooled it, 26 citations in OpenAlex.
- A systematic review of spatial epidemiological modeling approaches applied during the COVID-19 pandemic.BMC public health · 2026Pooled it
- Review
- Spatially structured models of viral dynamics: a scoping review.Microbiology and molecular biology reviews : MMBR · 2025Article
- A Systematic Review of Spatial Epidemiological Modeling Approaches Applied During the COVID-19 Pandemic.medRxiv : the preprint server for health sciences · 2025Article
- The role of environmentally mediated drug resistance in facilitating the spatial distribution of residual disease.Communications biology · 2025Article
- A Framework for Quantitative Systems Pharmacology Model Execution.Handbook of experimental pharmacology · 2025Review
- Probability of early infection extinction depends linearly on the virus clearance rate.Royal Society open science · 2024Article
- Mathematical model calibrated toiScience · 2024Article
- Article
- COVID-19 dynamics and immune response: Linking within-host and between-host dynamics.Chaos, solitons, and fractals · 2023Article
- The spatial dynamics of immune response upon virus infection through hybrid dynamical computational model.Frontiers in immunology · 2023Article
- Using simulation modelling and systems science to help contain COVID-19: A systematic review.Systems research and behavioral science · 2022Article
- In Silico Evaluation of Paxlovid's Pharmacometrics for SARS-CoV-2: A Multiscale Approach.Viruses · 2022Article
- PhysiPKPD: A pharmacokinetics and pharmacodynamics module for PhysiCell.GigaByte (Hong Kong, China) · 2022Article
- A hybrid PDE-ABM model for viral dynamics with application to SARS-CoV-2 and influenza.Royal Society open science · 2021Article
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Authors and funding
4 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We propose a hybrid partial differential equation-agent-based (PDE-ABM) model to describe the spatio-temporal viral dynamics in a cell population. The virus concentration is considered as a continuous variable and virus movement is modelled by diffusion, while changes in the states of cells (i.e. healthy, infected, dead) are represented by a stochastic ABM. The two subsystems are intertwined: the probability of an agent getting infected in the ABM depends on the local viral concentration, and the source term of viral production in the PDE is determined by the cells that are infected. We develop a computational tool that allows us to study the hybrid system and the generated spatial patterns in detail. We systematically compare the outputs with a classical ODE system of viral dynamics, and find that the ODE model is a good approximation only if the diffusion coefficient is large. We demonstrate that the model is able to predict SARS-CoV-2 infection dynamics, and replicate the output of
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