A hybrid PDE-ABM model for viral dynamics with application to SARS-CoV-2 and influenza
| Autor: | Nóra Juhász, Gergely Röst, Sadegh Marzban, Renji Han |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Agent-based model
education.field_of_study Multidisciplinary Computer science SARS-CoV-2 Science Severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) Population Ode viral kinetics hybrid model Replicate spatio-temporal dynamics agent-based model Virus Hybrid system Partial derivative education Biological system influenza Mathematics Research Articles |
| Zdroj: | Royal Society Open Science Royal Society Open Science, Vol 8, Iss 11 (2021) |
| ISSN: | 2054-5703 |
| Popis: | 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 in vitro experiments. Applying the model to influenza as well, we can gain insight into why the outcomes of these two infections are different. |
| Databáze: | OpenAIRE |
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