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CATEGORIES:{lang hu}Differenciálegyenletek szeminárium{/lang}{lang en}Differential equations seminar{/lang}
SUMMARY:Sadegh Marzban (University of Szeged): A hybrid PDE-ABM model for infection dynamics: study on stochastic variability, application to SARS-COV-2 and influenza, and exploring some treatment options
LOCATION:Riesz Lecture Hall, 1st Floor, Bolyai Institute, Aradi Vértanúk tere 1., Sz
eged
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Abstract. \nWe propose a hybrid partial differential equation -- agent-base
d (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 o
f cells (i.e. healthy, infected, dead) are represented by a stochastic agen
t-based model. The two subsystems are intertwined: the probability of an ag
ent getting infected in the ABM depends on the local viral concentration, a
nd the source term of viral production in the PDE is determined by the cell
s that are infected.\n\nWe develop a computational tool that allows us to s
tudy the hybrid system and the generated spatial patterns in detail. We sys
tematically compare the outputs with a classical ODE system of viral dynami
cs, and find that the ODE model is a good approximation only if the diffusi
on coefficient is large.\n\nWe demonstrate that the model is able to predic
t SARS--CoV--2 infection dynamics, and replicate the output of in vitro exp
eriments. Applying the model to influenza as well, we can gain insight into
why the outcomes of these two infections are different.
DTSTAMP:20211207T203227Z
DTSTART;TZID=Europe/Budapest:20210923T110000
DTEND;TZID=Europe/Budapest:20210923T123000
SEQUENCE:0
TRANSP:OPAQUE
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