Chapter 3Variation: Analytical Solutions of Ordinary Differential Equations
Learning Objectives
- Draw compartment diagrams that integrate system inputs and outputs
- Write a set of ordinary differential equations (ODEs) based on compartment diagrams
- Solve simple ODEs analytically
- Compare various systems based on key equation parameters, such as steady-state solution, step response, and response time
This chapter and the next two chapters focus on the workhorse of computational systems biology: sets of ODEs based on conservation of mass and mass action kinetics. Most models that are published in systems biology papers consist of a set of ODEs.
Steven Strogatz, an outstanding mathematician and teacher at Cornell University, says that every modeler ...
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