Modeling Differential Equations in Biology [Paperback]

Aimed at biologists wishing to understand mathematical modelling rather than just learning mathematical methods.Drawing on a very successful one-semester course at Harvard, this text teaches students in the life sciences how to use differential equations. It is enriched with illustrative examples from real papers. Necessary ideas from mathematics are introduced as and when needed, and in the context of applications.Drawing on a very successful one-semester course at Harvard, this text teaches students in the life sciences how to use differential equations. It is enriched with illustrative examples from real papers. Necessary ideas from mathematics are introduced as and when needed, and in the context of applications.Given that a college level life science student will take only one additional calculus course after learning its very basics, what material should such a course cover? This book answers that question. It is based on a very successful one-semester course taught at Harvard and aims to teach students in the life sciences understanding the use of differential equations. It is enriched with illustrative examples from real papers. Necessary notions from linear algebra and partial differential equations are introduced as and when needed, and in the context of applications. Drawing on a very successful one-semester course at Harvard, this text aims to teach students in the life sciences how to use differential equations. It is enriched with illustrative examples from real papers. Necessary notions from mathematics are introduced as and when needed, and in the context of applications. Aimed at biologists wishing to understand mathematical modelling rather than just learning math methods.1. Introduction; 2. Exponential growth with appendix on Taylor's theorem; 3. Introduction to differential equations; 4. Stability in a one component system; 5. Systems of first order differential equations; 6. Phase plane analysis; 7. Introduction to vectors; 8. Equilibrium inl“,