An Introduction to Dynamical Systems

Eric A. Sobie*

*Contact information. E-mail, eric.sobie{at}mssm.edu

Slides. This Presentation contains slides for a lecture in a graduate course on computational biology. The lecture discusses concepts related to dynamical systems tools for the analysis of ordinary differential equation (ODE)–based models.

Technical Details

Format: PowerPoint (.ppt)

Size: 2.12 MB

Requirements: Microsoft PowerPoint

[Access Presentation]

MATLAB Code. One MATLAB program that illustrates how to use Euler's method to solve ODEs. The program "euler.m" solves a simple ODE; this file can be used as a template to model yeast glycolytic oscillations in a student assignment.

Technical Details

Format: M file (.m)

Size: 1 KB

Requirements: MATLAB

[Download zip file with Problem Set MATLAB codes]

Answer Key. Biomedical Modeling: Introduction to Dynamical Systems Problem Set Answer Key files. The answer key and the MATLAB files ("bier.m", "bier_varyk1.m", "bier_k1_bifurcation.m") corresponding to the answers for the problem set can be obtained by completing the “Request Resource” form.

Technical Details

Format: M file (.m)

Size: 1 KB, 1 KB, 1 KB

Requirements: MATLAB

Format: PDF (.pdf)

Size: 64 KB

Requirements: Adobe Acrobat Reader

Limits for Use

Cost: Free

Rights: This material may be downloaded for noncommercial, course-teaching purposes only, provided credit to Science Signaling is included by listing the citation for the Teaching Resource.

Citation: E. A. Sobie, An Introduction to Dynamical Systems. Sci. Signal. 4, tr6 (2011).

© 2011 American Association for the Advancement of Science