2021
DOI: 10.1101/2021.05.07.443053
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A hybrid PDE–ABM model for viral dynamics with application to SARS–CoV–2 and influenza

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 modeled by diffusion, while changes in the states of cells (i.e. healthy, infected, dead) are represented by a stochastic agent-based model. The two subsystems are intertwined: the probability of an agent getting infected in the ABM depends on the local viral concentration, and t… Show more

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Cited by 5 publications
(7 citation statements)
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“…There are 72 papers investigating COVID‐19 transmission dynamics, with 4 simulating it through biosocial stochastic dynamics (Tadić & Melnik, 2020) and microscopic dynamics (Castiglione et al, 2021; Marzban et al, 2021; Tadić & Melnik, 2021). Seventeen papers simulated spreading mechanism and transmission dynamics within a particular venue, including the cruise ship Diamond Princess (Hooten et al, 2020), a long‐term care facility (Smith et al, 2020), a typical large dialysis unit (Tofighi et al, 2021), a hospital (Evans et al, 2022), a construction site (Araya, 2021a, 2021b), a sporting facility (Qi et al, 2021), a school (Tupper & Colijn, 2021), a college (Gressman & Peck, 2020; Possik et al, 2021), a hypothetical facility (Cuevas, 2020), a retail store (Pantano et al, 2021; Ying & O'Clery, 2021), a supermarket (Harweg et al, 2021; Hernandez‐Mejia & Hernandez‐Vargas, 2020; Lu, Wang, et al, 2021; Salmenjoki et al, 2021) and a church (Farthing & Lanzas, 2021a).…”
Section: Resultsmentioning
confidence: 99%
“…There are 72 papers investigating COVID‐19 transmission dynamics, with 4 simulating it through biosocial stochastic dynamics (Tadić & Melnik, 2020) and microscopic dynamics (Castiglione et al, 2021; Marzban et al, 2021; Tadić & Melnik, 2021). Seventeen papers simulated spreading mechanism and transmission dynamics within a particular venue, including the cruise ship Diamond Princess (Hooten et al, 2020), a long‐term care facility (Smith et al, 2020), a typical large dialysis unit (Tofighi et al, 2021), a hospital (Evans et al, 2022), a construction site (Araya, 2021a, 2021b), a sporting facility (Qi et al, 2021), a school (Tupper & Colijn, 2021), a college (Gressman & Peck, 2020; Possik et al, 2021), a hypothetical facility (Cuevas, 2020), a retail store (Pantano et al, 2021; Ying & O'Clery, 2021), a supermarket (Harweg et al, 2021; Hernandez‐Mejia & Hernandez‐Vargas, 2020; Lu, Wang, et al, 2021; Salmenjoki et al, 2021) and a church (Farthing & Lanzas, 2021a).…”
Section: Resultsmentioning
confidence: 99%
“…Many agent-based models (ABMs) have been developed to study diseases, including cancer [3, 4, 5, 6, 7, 8], COVID-19 [9], tuberculosis [10, 11], and more, with a core purpose being to determine the best means to treat a patient with the given disease. This involves modeling therapeutics alongside the cells in a given microenvironment.…”
Section: Statement Of Needmentioning
confidence: 99%
“…In the context of the global COVID-19 epidemic, arti cial intelligence (AI) research has been widely used for prediction [11]. Common predictions include cumulative cases,recurrence of infection (waves), and time to peak [12].…”
Section: Introductionmentioning
confidence: 99%