title: An evaluation of mathematical models for stem cell dynamics in neurogenesis
creator: Stickel, Maria Anita
subject: 500
subject: 500 Natural sciences and mathematics
subject: 510
subject: 510 Mathematics
subject: 570
subject: 570 Life sciences
description: The dynamics of adult neurogenesis in the ventricular-subventricular zone are yet to be fully understood. In particular, how the pool of neural stem cells (NSCs), in active and quiescent states, is maintained while undergoing ageing effects. Mathematical modelling of biological systems can help to gain insight into such dynamics, to discover dependencies that may not be obvious purely from the data. This thesis evaluates different models of ordinary differential equations to describe those dynamics. First, a simplified, macroscopic model of neurogenesis based on an existing model of active and quiescent NSCs has been developed via a steady-state for the fraction of active NSCs among all NSCs. It was used to relate the parameters of the two former models via the macroscopic model, that does not inherently distinguish between active and quiescent cell states. Secondly, two neurogenesis model versions with constant and time-dependent self-renewal are compared and parameter estimation is applied to the macroscopic model. Although the NSC dynamics can be observed with all models, the macroscopic lense results in non-identifiable microscopic parameters. Furthermore, the model cannot capture the fraction of active NSCs among NSCs, as expected, due to the single equation it is defined by.
date: 2023
type: Bachelor thesis
type: info:eu-repo/semantics/bachelorThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/32851/1/BachelorThesisMariaStickel.pdf
identifier: DOI:10.11588/heidok.00032851
identifier: urn:nbn:de:bsz:16-heidok-328510
identifier:   Stickel, Maria Anita  (2023) An evaluation of mathematical models for stem cell dynamics in neurogenesis.  [Bachelor thesis]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/32851/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng