Two models for the spread and control of a virus are detailed in
this book: The Lung/Respiratory System Model (LSM) and the SVIR
(Susceptible-Vaccinated-Infected-Recovered) Model.The LSM gives the
spatiotemporal distribution of four viral-related proteins: virus
population density along the lung air passage, host cell primary
infection protein (viral genetic material (VGM)) concentration,
host cell secondary infection protein (VGM) concentration, and air
stream virion population density.The model is executed for a single
inhalation, and a series of inhalation/exhalation cycles. For the
latter, the progression of the viral infection into the lung is a
principal result.The SVIR is first formulated as a system of
ordinary differential equations (ODEs) in time, then extended to a
system of PDEs to account for spatial effects (spatiotemporal
modeling).Principal outputs from the ODE/PDE models are the levels
of vaccinations and infections. For the latter, the efficacy of the
vaccine is a parameter that can be varied in a computer-based
analysis of a vaccine therapy.The coding of the models is in R, a
quality, open-source scientific computing system, and can be
executed on modest computers. The R routines are available from a
download link so that the example models can be executed without
having to first study numerical methods and computer coding. The
routines can then be applied to variations and extensions of the
ODE/PDE models, such as changes in the parameters and the form of
the model equations.
General
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