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Books > Science & Mathematics > Biology, life sciences > Biochemistry > Proteins
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Virus Host Cell Genetic Material Transport - Computational ODE/PDE Modeling with R (Hardcover, 1st ed. 2022)
Loot Price: R3,608
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Virus Host Cell Genetic Material Transport - Computational ODE/PDE Modeling with R (Hardcover, 1st ed. 2022)
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The reproduction and spread of a virus during an epidemic proceeds
when the virus attaches to a host cell and viral genetic material
(VGM) (protein, DNA, RNA) enters the cell, then replicates, and
perhaps mutates, in the cell. The movement of the VGM across the
host cell outer membrane and within the host cell is a
spatiotemporal dynamic process that is modeled in this book as a
system of ordinary and partial differential equations (ODE/PDEs).
The movement of the virus proteins through the cell membrane is
modeled as a diffusion process expressed by the diffusion PDE
(Fick's second law). Within the cell, the time variation of the VGM
is modeled as ODEs. The evolution of the dependent variables is
computed by the numerical integration of the ODE/PDEs starting from
zero initial conditions (ICs). The departure of the dependent
variables from zero is in response to the virus protein
concentration at the outer membrane surface (the point at which the
virus binds to the host cell). The numerical integration of the
ODE/PDEs is performed with routines coded (programmed) in R, a
quality, open-source scientific computing system that is readily
available from the Internet. Formal mathematics is minimized, e.g.,
no theorems and proofs. Rather, the presentation is through
detailed examples that the reader/researcher/analyst can execute on
modest computers. The ODE/PDE dependent variables are displayed
graphically with basic R plotting utilities. 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 model, such as changes in the parameters
and the form of the model equations.
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