000 01856nam a2200169Ia 4500
999 _c295580
_d295580
020 _a9781611972498
082 _a570.1/13 SEG- P
100 _a Lee A Segel
245 _aA Primer on Mathematical Models in Biology
260 _a Philadelphia
_bSociety for Industrial and Applied Mathematics
_c2013
300 _a xxiii, 424 pages : illustrations ; 26 cm.
505 _a 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.
520 _aThis 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.
650 _a Biology -- Mathematical models. Biology. Health & Biological Sciences.
700 _aLeah Edelstein-Keshet
942 _cBK