AM80564 Mathematical Biology

Mathematical Biology is an interdisciplinary course that applies mathematical methods to model, analyze, and understand Biological Systems. The course introduces students to fundamental techniques in Differential Equations, Difference Equations, and Dynamical Systems, and demonstrates their applications to problems in Biology, Ecology and Epidemiology.

Topics include population dynamics, predator–prey models, epidemic models, enzyme kinetics, genetic modeling, age-structured models, and biological oscillations. Emphasis is placed on formulating mathematical models from biological principles, analyzing model behavior, interpreting results in biological terms, and, where appropriate, comparing with experimental or real-world data.

Through case studies and projects, students will develop both the theoretical and computational skills necessary to investigate complex biological systems, and will appreciate the role of mathematics in advancing biological and medical sciences. For numerical simulations, some programming experience (e.g., MATLAB, Python, or R) is recommended.