149 pages, 52 colour & 9 b/w illustrations
Enzyme kinetics, binding kinetics and pharmacological dose-response curves are currently analyzed by a few standard methods. Some of these, like Michaelis-Menten enzyme kinetics, use plausible approximations, others, like Hill equations for dose-response curves, are outdated. Calculating realistic reaction schemes requires numerical mathematical routines which usually are not covered in the curricula of life science. This textbook will give a step-by-step introduction to numerical solutions of non-linear and differential equations. It will be accompanied with a set of programs to calculate any reaction scheme on any personal computer. Typical examples from analytical biochemistry and pharmacology can be used as versatile templates. When a reaction scheme is applied for data fitting, the resulting parameters may not be unique. Correlation of parameters will be discussed and simplification strategies will be offered.
2 The Basics
3 Classical Analytical Solutions
4 Getting Started with Octave
5 Equilibrium Binding
6 Binding Kinetics
7 Enzyme Kinetics
8 Fitting the Data
Appendix: Installing GNU Octave for Mac OS and Linux
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