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
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"This textbook 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: 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 ; combines clear and useful mathematical methods with applications that illustrate the power of such tools ; includes many exercises in reasoning, modeling, and simulations."--Publisher's website