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Results of Approximation and Measure on Mutational Spaces

Obi, Onyeka Emmanuel (2010) Results of Approximation and Measure on Mutational Spaces. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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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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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Obi, Onyeka
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairGartside, Paulgartside@math.pitt.eduPMG20
Committee MemberLennard, Christopherlennard@pitt.eduLENNARD
Committee MemberParker, Robertrparker@engr.pitt.eduRPARKER
Committee MemberLayton, Williamwjl@pitt.eduWJL
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:, etd-03082010-123333
Date Deposited: 10 Nov 2011 19:32
Last Modified: 15 Nov 2016 13:36


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