Are brain fluids behaving in a fractional manner?

Are brain fluids behaving in a fractional manner?

Recent research has established a close link between multi-compartment models and fractional models. Brain fluid dynamics are multi-compartment by nature. Does it result in fractional behaviour?

The discovery of the glymphatic system in 2012 is a paradigme shift in neuroscience implying that the need for sleep is deeply rooted in the fluid dynamics of cerebrospinal fluid and its interaction with the extra-cellular fluid. A main feature of the new system that it introduces several additional and essential compartments to the brain, namely the peri-arterial, peri-venous and perhaps even the peri-capillary compartments. Multi-compartment diffusion like systems may result in overal fractional diffusion behaviour.

Goal

Simulate the multi-physics process of multi-compartment brain fluid dynamics.

Learning outcome

  • Deep knowledge of modern numerical methods and simulation tools
  • Experience with contemporary neuroscience challenges and models
  • Team work in an active research group

Qualifications

  • A background in applied mathematics and/or computer science
  • Knowledge of partial differential equations and numerical methods
  • Experience with Python programming

Supervisors

  • Kent-Andre Mardal and co-workers

Collaborations

The master thesis is associated with the K. G. Jebsen Centre for Brain Fluids and the ERC project aCleanBrain

Image of a mathematical equation.

Associated contact