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100   $a20160427d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aIntroduction to Mathematical Biology $eModeling, Analysis, and Simulations /$fby Ching Shan Chou, Avner Friedman
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (VII, 172 p. 49 illus., 38 illus. in color.) 
225 1 $aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-29636-1 
327   $aIntroduction -- Bacterial Growth in Chemostat -- System of Two Linear Differential Equations -- System of Two Differential Equations -- Predator-Prey Models -- Two Competing Populations -- General Systems of Differential Equations -- The Chemostat Model Revisited -- Spread of Disease -- Enzyme Dynamics -- Bifurcation Theory -- Atherosclerosis: The Risk of High Cholesterol -- Cancer-Immune Interaction. Cancer Therapy -- Tuberculosis -- Solutions.
330   $aThis book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer ? 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.
410  0$aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506
606   $aBiomathematics
606   $aMathematical physics
606   $aSystems biology
606   $aBiological systems
606   $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000
606   $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120
606   $aSystems Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/P27050
615  0$aBiomathematics.
615  0$aMathematical physics.
615  0$aSystems biology.
615  0$aBiological systems.
615 14$aMathematical and Computational Biology.
615 24$aMathematical Applications in the Physical Sciences.
615 24$aSystems Biology.
676   $a570.151
700   $aChou$b Ching Shan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755944
702   $aFriedman$b Avner$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254069503321
996   $aIntroduction to Mathematical Biology$92105560
997   $aUNINA