Leiden University Student Repository

Hackmann, T. (4453)

Analysing a model for drug transport and binding in the brain

Bachelor thesis | Wiskunde (BSc)

Drug development for targets in the brain is a difficult research topic. To improve quantitativeunderstanding of drug pharmacokinetics (PK) in the brain, a mathematical model for 3D brain unitswas established by Vendel, Rottsch ?afer and De Lange [1][2][3]. CapSys is a software program thathas translated this mathematical model into a computational model. In this thesis the quality ofthe simulation in CapSys will be investigated by comparing it to exact solutions of the differentialequations it simulates. The focus of this investigation will be on the diffusion equation in differentdomains within the software. CapSys correctly simulates the diffusion equation in a cubic domain.The simulation converges to the exact solution at the expected rate with decreasing time steps andgrid size. Further qualitative analysis does show some issues appearing with rounded shapes in thedomain, such as cells.

Author

Hackmann, T.

Faculty

Faculty of Science

Supervisors

Hof, B. van &apos
Rottschäfer, V.

ECTS Credits

18

Language

en