{"product_id":"chemotaxis-modeling-of-autoimmune-inflammation-william-schiesser-9781032316062","title":"Chemotaxis Modeling of Autoimmune Inflammation: PDE Computer Analysis in R","description":"\u003cp\u003eIn response to an infection (e.g., from pathogens such as bacteria and viruses), the immune system can deplete macrophages (specialized white blood cells) and produce cytokines that are pro-inflammatory or anti-inflammatory. This counterproductive autoimmune response is represented mathematically as nonlinear chemotaxis diffusion.\u003c\/p\u003e \u003cp\u003eThis book is directed to the computer-based modeling of chemotaxis inflammation. The spatiotemporal analysis is \u003cbr\u003ebased on a model of three partial differential equations (PDEs). \u003c\/p\u003e \u003cp\u003eThe three PDE model is coded (programmed) as a set of routines in R, a quality, open-source, scientific programming system. The numerical integration (solution) of the PDEs is by the method of lines (MOL).\u003c\/p\u003e \u003cp\u003eThe three PDE model can be used for computer-based experimentation, for example, parameter variation and changes in the model equations or alternate models, to enhance a quantitative understanding of a postulated \u003cbr\u003einflammation.\u003c\/p\u003e \u003cp\u003eThis experimentation is illustrated by chapters pertaining to: (1) the computation and display of the PDE time derivatives, (2) the RHS terms of the PDEs with emphasis on the chemotaxis terms, (3) parameter variations to demonstrate parameter effects and sensitivities and (4) additonal terms in the PDEs to include PDE coupling and extensions of the basic PDE model.\u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e William Schiesser\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1032316063\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781032316062\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/21\/2022\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 144\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.86lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.38d","brand":"William Schiesser","offers":[{"title":"Hardcover","offer_id":44070935920895,"sku":"9781032316062","price":110.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_363e0a59-c5f9-4b58-8202-a3b1ac36e24a.jpg?v=1685433198","url":"https:\/\/www.whiterainbookhouse.com\/products\/chemotaxis-modeling-of-autoimmune-inflammation-william-schiesser-9781032316062","provider":"WR Book House","version":"1.0","type":"link"}