Mathematical Modeling in Computational Biology
( 24 Modules )

Module #1
Introduction to Mathematical Modeling in Biology
Overview of mathematical modeling in biology, importance, and applications

Module #2
Basic Mathematical Concepts
Review of algebra, calculus, differential equations, and linear algebra

Module #3
Biological Systems and Modeling Goals
Types of biological systems, modeling goals, and model validation

Module #4
Discrete-Time Models
Introduction to discrete-time models, recursive equations, and difference equations

Module #5
Continuous-Time Models
Introduction to continuous-time models, differential equations, and phase space analysis

Module #6
Modeling Population Dynamics
Exponential growth, logistic growth, and predator-prey models

Module #7
Modeling Epidemiology
Compartmental models, SIR models, and disease spread dynamics

Module #8
Modeling Chemical Reactions and Enzyme Kinetics
Law of mass action, Michaelis-Menten kinetics, and enzyme-substrate reactions

Module #9
Modeling Gene Regulation
Gene expression, transcriptional regulation, and feedback loops

Module #10
Modeling Metabolic Networks
Flux balance analysis, metabolic pathways, and network reconstruction

Module #11
Stochastic Modeling
Introduction to stochastic processes, random walks, and Markov chains

Module #12
Stochastic Dynamics in Biology
Stochastic modeling of gene expression, protein-protein interactions, and cellular behavior

Module #13
Spatial Modeling
Introduction to partial differential equations, reaction-diffusion equations, and pattern formation

Module #14
Spatial Modeling in Biology
Modeling spatial patterns in developmental biology, ecology, and epidemiology

Module #15
Modeling Evolutionary Processes
Introduction to evolutionary game theory, adaptive dynamics, and phylogenetics

Module #16
Computational Tools for Mathematical Modeling
Overview of programming languages, software, and tools for mathematical modeling

Module #17
Numerical Methods for Solving Mathematical Models
Introduction to numerical methods, numerical solution of ODEs and PDEs

Module #18
Parameter Estimation and Model Validation
Introduction to parameter estimation, model validation, and sensitivity analysis

Module #19
Case Studies in Mathematical Modeling
Real-world examples of mathematical modeling in biology, medicine, and ecology

Module #20
Modeling Cancer Biology
Mathematical modeling of cancer growth, treatment, and evolution

Module #21
Modeling Infectious Diseases
Mathematical modeling of disease spread, transmission, and control

Module #22
Modeling Systems Biology
Mathematical modeling of cellular networks, systems, and behavior

Module #23
Modeling in Personalized Medicine
Mathematical modeling for personalized medicine, treatment, and patient-specific models

Module #24
Course Wrap-Up & Conclusion
Planning next steps in Mathematical Modeling in Computational Biology career

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