Descripción del título
This 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
Monografía
monografia Rebiun17841214 https://catalogo.rebiun.org/rebiun/record/Rebiun17841214 cr c||||||||| 160427s2016 gw o 001 0 eng d 9783319296388 978-3-319-29638-8 10.1007/978-3-319-29638-8 doi UPNA0467686 UPVA 996878583903706 UAM 991007690122204211 UR0396357 UAL. spa. UAL. rdc 570.285 23 Chou, Ching Shan. author Introduction to Mathematical Biology Modeling, Analysis, and Simulations by Ching Shan Chou, Avner Friedman Cham Springer International Publishing Imprint: Springer 2016 Cham Cham Springer International Publishing Imprint: Springer 1 recurso en línea 1 recurso en línea VII, 172 p. 49 illus., 38 illus. in color VII, 172 p. 49 illus., 38 illus. in color Springer Undergraduate Texts in Mathematics and Technology 1867-5506 Springer eBooks Introduction -- 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 This 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 Modo de acceso: World Wide Web Mathematics Mathematical physics Biomathematics Systems biology Biological systems Mathematics Mathematical and Computational Biology Mathematical Applications in the Physical Sciences Biological Networks, Systems Biology Libros electrónicos Recursos electrónicos Friedman, Avner. author SpringerLink (Online service) Springer Undergraduate Texts in Mathematics and Technology 1867-5506