A Primer on Mathematical Models in Biology
Lee A Segel
A Primer on Mathematical Models in Biology - Philadelphia Society for Industrial and Applied Mathematics 2013 - xxiii, 424 pages : illustrations ; 26 cm.
Introduction -- Introduction to biochemical kinetics -- Review of linear differential equations -- Introduction to nondimensionalization and scaling -- Qualitative behavior of simple differential equation models -- Developing a model from the ground up: Case study of the spread of an infection -- Phase plane analysis -- Quasi steady state and enzyme-mediated biochemical kinetics -- Multiple subunit enzymes and proteins: Cooperativity -- Dynamic behavior of neuronal membranes -- Excitable systems and the FitzHugh-Nagumo equations -- Biochemical modules -- Discrete networks of genes and cells -- For further study -- Extended exercises and projects.
This textbook grew out of a course that the popular and highly respected applied mathematician Lee Segel taught at the Weizmann Institute and it represents his unique perspective. It introduces differential equations, biological applications, and simulations and emphasizes molecular events (biochemistry and enzyme kinetics), excitable systems (neural signals), and small protein and genetic circuits.A Primer on Mathematical Models in Biology will appeal to readers because it combines clear and useful mathematical methods with applications that illustrate the power of such tools and includes many exercises in reasoning, modeling, and simulations.
9781611972498
Biology -- Mathematical models. Biology. Health & Biological Sciences.
570.1/13 SEG- P
A Primer on Mathematical Models in Biology - Philadelphia Society for Industrial and Applied Mathematics 2013 - xxiii, 424 pages : illustrations ; 26 cm.
Introduction -- Introduction to biochemical kinetics -- Review of linear differential equations -- Introduction to nondimensionalization and scaling -- Qualitative behavior of simple differential equation models -- Developing a model from the ground up: Case study of the spread of an infection -- Phase plane analysis -- Quasi steady state and enzyme-mediated biochemical kinetics -- Multiple subunit enzymes and proteins: Cooperativity -- Dynamic behavior of neuronal membranes -- Excitable systems and the FitzHugh-Nagumo equations -- Biochemical modules -- Discrete networks of genes and cells -- For further study -- Extended exercises and projects.
This textbook grew out of a course that the popular and highly respected applied mathematician Lee Segel taught at the Weizmann Institute and it represents his unique perspective. It introduces differential equations, biological applications, and simulations and emphasizes molecular events (biochemistry and enzyme kinetics), excitable systems (neural signals), and small protein and genetic circuits.A Primer on Mathematical Models in Biology will appeal to readers because it combines clear and useful mathematical methods with applications that illustrate the power of such tools and includes many exercises in reasoning, modeling, and simulations.
9781611972498
Biology -- Mathematical models. Biology. Health & Biological Sciences.
570.1/13 SEG- P