Feedback and Parameter Sensitivity in Oscillating Biological Systems
Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Cell biology is not only about making experiments in a laboratory. By analyzing advanced models of biological processes, behaviors of the corresponding biological systems can be predicted, giving insight into the functioning of the cell, and eventually suggesting new experiments for the validation of the model. In this report a model is studied that represents a part of the cell divvision cycle in frog eggs. The model is given as a set of nonlinear differential equations, showing complex behaviors such as multiple steady states and sustained oscillations. We focus here on the oscillatory behavior of the model and present methods of how to determine the feedback mechanism, being the main source of these oscillations. Furthermore, we discuss how to determine important model parameters, to which these oscillations are sensitive to. Our analysis methods are based on linear systems and feedback control theory. Finally the presented methods are applied to some other oscillating biological systems.
Place, publisher, year, edition, pages
IdentifiersURN: urn:nbn:se:kth:diva-109550OAI: oai:DiVA.org:kth-109550DiVA: diva2:583386
Subject / course
Master of Science in Engineering
Jacobsen, Elling W