Introduction to mathematical biology : modeling, analysis, and simulations
By: Chou, Ching-Shan.
Contributor(s): Friedman, Avner.
Series: Springer undergraduate texts in mathematics and technology ; / edited by J. M. Borwein. Publisher: Switzerland Springer 2016Description: vii, 172p.ISBN: 9783319296364.Subject(s): Mathematical -- Biology | SimulationsDDC classification: 570.15118 | C457i Summary: 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.| Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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Books
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PK Kelkar Library, IIT Kanpur | General Stacks | 570.15118 C457i (Browse shelf) | Available | A183710 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: General Stacks Close shelf browser
| 570.15118 AL56M MATHEMATICAL MODELS IN BIOLOGY | 570.15118 B417M MATHEMATICAL MODELING OF COMPLEX BIOLOGICAL SYSTEMS | 570.15118 B737d Dynamical systems for biological modeling | 570.15118 C457i Introduction to mathematical biology | 570.15118 C834 COURSE IN MATHEMATICAL BIOLOGY | 570.15118 El59d Dynamic models in biology | 570.15118 L498m Mathematics for the life sciences |
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.
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