Some of the material in is restricted to members of the community. By logging in, you may be able to gain additional access to certain collections or items. If you have questions about access or logging in, please use the form on the Contact Page.
Like nerve and many other endocrine cells, pancreatic beta-cells are electrically excitable and produce electrical impulses in response to elevations in glucose. These electrical impulses typically come in the form of bursting. One type of bursting model with two or more slow variables has been called 'phantom bursting' since the burst period is a blend of the time constants of the slow variables. In this dissertation, the relative contributions that slow variables make to the bursting produced by two different phantom bursting models are quantified using a measure called the 'dominance factor'. Using this quantification, it is demonstrated that the control of different phases of the burst can be shifted from one slow variable to another by changing a model parameter. It is also demonstrated that the contributions that the slow processes make to bursting can be non-obvious. One application of the dominance factor is in making predictions about the resetting properties of the model cells. This application is demonstrated using a general phantom bursting model.
A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Includes bibliographical references.
Richard Bertram, Professor Directing Dissertation; Oliver Steinbock, University Representative; Jack Quine, Committee Member; Nick Cogan, Committee Member; Joel Tabak, Committee Member.
Florida State University
Use and Reproduction
This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them.