title: Ordinary differential equations.
abstract: In this chapter we provide an overview of the basic theory of ordinary differential equations (ODE). We give the basics of analytical methods for their solutions and also review numerical methods. The chapter should serve as a primer for the basic application of ODEs and systems of ODEs in practice. As an example, we work out the equations arising in Michaelis-Menten kinetics and give a short introduction to using Matlab for their numerical solution.
authors.affiliation: Department of Mathematics, University of Wisconsin-Madison, Madison, WI, USA. jlebl@math.ucsd.edu
authors.forename: Jiří
authors.initials: J
authors.lastname: Lebl
mesh_terms: D007700:Kinetics; D008433:Mathematics; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted; D012984:Software