Lesson plan / BIOMATHEMATICS

Lesson Information

Course Credit 3.0
Course ECTS Credit 6.0
Teaching Language of Instruction Türkçe
Level of Course Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course Programme Elective
Mode of Delivery Face-to-face
Does the course require compulsory or optional work experience? S
Course Coordinator
Instructor (s)
Course Assistant Prof. Dr. İSMAİL TOK

Purpose and Content

The aim of the course The aim of this course is to give the biological applications of the difference and differential equations.
Course Content This course covers the application of Differential and Difference Equations in Biology, Application of Nonlinear Differential Equations in Biology, Application of Graph Theory in Biology

Weekly Course Subjects

1Functions and mathematical modeling: linear models: mRNA ratio.
2Quadratic models: Epidemics.
3Rational and Allometric models: Enzyme kinetics, drug concentration, Average AIDS cases
4Discrete-time dynamical systems: Equilibrium, and stability, drug concentration.
5Biological applications of difference equations.
6Biological applications of difference equations.
7Discrete exponential and logistic growth: Growth of fungal cells and spreading of the disease.
8Biological applications of differential equations : Patients single population
9Biological applications of differential equations : Patients single populationMidterm Exam.
10Predator prey models,Race models
11Epidemic disease models, genetic epidemic disease models
12Petri nets
13Stochastic Petri Nets.
14Biological applications of Petri nets.

Resources

1- Linda J.S.Allen,Pearson, An Introduction to Mathematical Biology, 2007.
2- Raina Stefanova Robeva, James R. Kirkwood, Robin Lee Davies, Leon Farhy, Boris P. Kovatchev,An Invitation to Biomathematics , Academic Press, 2007.
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