Obi, Onyeka Emmanuel
(2010)
Results of Approximation and Measure on Mutational Spaces.
Doctoral Dissertation, University of Pittsburgh.
(Unpublished)
Abstract
This thesis extends the machinery of Mutational Analysis to accommodate numerical methods that are commonly used today, such as the Midpoint Method, Heun Method, and Runge-Kutta Methods. This is done by developing Taylor expansions in Mutational Spaces of Higher Order. Another extension of Mutational Analysis to Stochastic Mutational Analysis is considered. This extension is used to accommodate more realistic and robust models than the deterministic counterpart. A biologically relevant model is used as an illustration of this extension.
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Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
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| Date: |
23 June 2010 |
| Date Type: |
Completion |
| Defense Date: |
12 February 2010 |
| Approval Date: |
23 June 2010 |
| Submission Date: |
8 March 2010 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
| Degree: |
PhD - Doctor of Philosophy |
| Thesis Type: |
Doctoral Dissertation |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
Cancer Modelling; Mutational Analysis; Probability on Metric Spaces |
| Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-03082010-123333/, etd-03082010-123333 |
| Date Deposited: |
10 Nov 2011 19:32 |
| Last Modified: |
15 Nov 2016 13:36 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/6459 |
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