BIOB2400 Patophysiology and Laboratory Diagnostics Course description

A student who has completed this course should have the following learning outcomes defined in terms of knowledge, skills and general competence:

Knowledge

On successful completion of the course the student:

• knows the relevance of a selection of mathematical models to real-world phenomena
• has a thorough understanding of how mathematical modelling and scientific computing are utilized in various industrialized settings
• has a repertoire of methods to solve and/or analyze ordinary and partial differential equations (ODEs and PDEs)
• knows how to analyze the dynamics of an ODE system

Skills

On successful completion of this course the student can:

• derive mathematical models from facts and first principles
• apply mathematical modelling techniques on scenarios relevant to industry
• can implement mathematical models on a computer
• analyse ODE systems and use bifurcation theory to elucidate the qualitative behavior of the systems
• implement and use a selection of numerical methods for solving ODEs and PDEs

General competence

On successful completion of this course the student:

• is aware of the usefulness and limitations of mathematical modelling as well as of pitfalls frequently encountered in modelling and simulation
• is able to discuss properties of a system using the equations of the mathematical model
• can explain and use numerical methods and interpret results of numerical simulations

The course is organized as a series of lectures and seminars where the subject material is presented and discussed. Between these sessions the students should work with problem solving, implementation of numerical methods and model simulations. The last part of the semester students will work with a compulsory individual project supervised by the course lecturer. The project will involve studies and analyses of a mathematical model and a rather extensive implementation of the numerical solution of the model.

Ikke relevant.

Bestått-Ikke bestått.

All aids are permitted, provided the rules for plagiarism and source referencing are complied with.

For the oral exam, students will only have access to the project report.

Grade scale A-F.

Two internal examiners. External examiner is used periodically.

Associate Professor Leiv Øyehaug

• Approaches to scientific computing and implementation of mathematical models
• Principles of modelling and derivation of mathematical models
• Analysis, numerical solution and bifurcations of ODEs
• Numerical methods for computation of solutions of ODEs and PDEs

4 credits overlap with the course BIO2000 Medical Biochemistry and Laboratory Diagnosis

3 credits overlap with the course BIOPRA1.