Tell your friends about this item:
Mathematical Modeling Of Virus Infection: Ode / pde Analysis In R Schiesser, William E (Lehigh Univ, Usa)
Ordered from remote warehouse
Our customers say:
Mathematical Modeling Of Virus Infection: Ode / pde Analysis In R
Schiesser, William E (Lehigh Univ, Usa)
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.
| Media | Books Hardcover Book (Book with hard spine and cover) |
| Released | April 8, 2021 |
| ISBN13 | 9789811236631 |
| Publishers | World Scientific Publishing Co Pte Ltd |
| Pages | 178 |
| Dimensions | 152 × 229 × 11 mm · 408 g |
| Language | English |
More by Schiesser, William E (Lehigh Univ, Usa)
Show all
Mere med samme udgiver
See all of Schiesser, William E (Lehigh Univ, Usa) ( e.g. Hardcover Book and Paperback Book )