Certificate of Achievement
has completed the following course:
Basic Concepts in Mathematical Biology
This online course provided a conceptual introduction to mathematical modeling in biology and neuroscience. It covered differential equations, oscillatory systems, nonlinear dynamics, and synchronization, using simplified models such as dripping tanks, gene expression oscillations, and neural activity. Learners developed an understanding of how dynamic biological systems generate rhythms, maintain stability, and exhibit coordinated behavior.
4 weeks, 2 hours per week
Jihwan Myung
College of Humanities and Social Sciences Taipei Medical University
Taipei Medical University
Transcript
Learning outcomes
- Explore the basic principles of mathematical modeling in biological and neural systems
- Explain the concepts of differential equations as applied to biological oscillations
- Investigate the synchronization and stability of oscillations using tools from nonlinear dynamics
- Describe how simple toy models can represent gene expression oscillations and action potential generation
- Develop foundational skills in mathematical thinking and the quantitative integration of biological data
Syllabus
- Fundamentals of Mathematical Modeling and Differential Equations
- Oscillatory Systems and Phase Space Representation
- Nonlinear Dynamics and Limit Cycles
- Synchronization and Physiological Rhythms
Issued on 11th June 2026
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