{"product_id":"mathematical-modeling-of-virus-infection-william-e-schiesser-9789811236631","title":"Mathematical Modeling of Virus Infection: Ode\/Pde Analysis in R","description":"\u003cp\u003eTwo 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.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe 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).\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003ePrincipal 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.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e William E. Schiesser\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9811236631\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789811236631\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e World Scientific Publishing Company\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/29\/2021\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 180\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.90lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.44d","brand":"William E. Schiesser","offers":[{"title":"Hardcover","offer_id":47244325912831,"sku":"9789811236631","price":78.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_959b6628-37b1-4719-826b-6dddf58340af.jpg?v=1758135469","url":"https:\/\/www.whiterainbookhouse.com\/products\/mathematical-modeling-of-virus-infection-william-e-schiesser-9789811236631","provider":"WR Book House","version":"1.0","type":"link"}