FYS-KJM9740 – MR-theory and medical diagnostics

Schedule, syllabus and examination date

Choose semester

Course content

A detailed introduction to the concepts of chemical shift, coupling constant, relaxation times and diffusion. Analysis of AB-spectra, based on quantum mechanical principles. Relaxation times are important in both nuclear magnetic resonance spectroscopy (MRS) and magnetic tomography (MRI) and are discussed with use of the Bloch equations. The principles of MRI and the construction of the MR tomograph, design and optimalisation of pulse sequences, identification of picture artefacts and examples on how to use MRS/MRI. It will also contain an introduction in MR-related pictureanalysis with focus on functional(dynamic) analysis of MR-data.

Learning outcome

After finishing the course the student should be able to:

  • understand the basic concept of how nuclear magnetisation is created or formed.
  • understand the effect of radio frequency-pulses on these magnetisations.
  • formulate the Bloch equation (how magnetisations are affected by relaxation and diffusion) and solve this equation under various conditions.
  • understand the basic principles of NMR spectroscopy (chemical shift, J-coupling, 1-order and 2-order spectra).
  • understand the basic concept of MR image acquisition and reconstruction:
    - spatial localisation of MR signal in 2D and 3D
    - k-space formulation
    - pulse sequence design
    - signal acquisition acceleration techniques
  • understand the contrast mechanisms in MRI based on:
    - relaxation properties of tissues
    - flow and physiology properties of tissues (flow, diffusion etc.)
  • understand the link between MR sequence parameters and image contrast.
  • apply the above theory to simple examples.


PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.

If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.

PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.

Overlapping courses

10 credits overlap against KJ-FY397.

10 credits with FYS-KJM4740 – MR-theory and medical diagnostics


The course extends over 7 weeks. There will also be laboratory assignments and students will have to read and lecture about a scientific article related to the curriculum.


Evaluation of project work and a final oral exam at the end of the 7 weeks of lectures.

Grading scale

Grades are awarded on a pass/fail scale. Read more about the grading system.

Explanations and appeals

Facts about this course






Every spring

If the course is offered, a minimum of four students is required for ordinary lectures to take place. If less than four students participate, an exam will be given, but one should not expect ordinary teaching.


Every spring

Teaching language

Norwegian (English on request)