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WIZAPE
Apprentice Mode
10 Modules / ~100 pages
Wizard Mode
~25 Modules / ~400 pages

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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