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Pathogen dynamics: modeling and analysis of competition, organization, and vaccination

Young, Glenn (2016) Pathogen dynamics: modeling and analysis of competition, organization, and vaccination. Doctoral Dissertation, University of Pittsburgh. (Unpublished)

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The work presented in this thesis is motivated by questions arising about pathogen dynamics. The effects of pathogens can be observed on a variety of spatial scales, from within-host interactions with the immune system on the microscopic level, to the spread of communicable disease on the population level. We present analyses of three common pathogens on three different scales. In Chapter 2, we derive and study a system of ordinary differential equations modeling the competition for space and resources between a mammalian host's native intestinal microbiota and an invasive species of Salmonella Typhimurium. We use our model to discuss optimal invasion strategies that maximize the salmonella's likelihood of successfully displacing the microbiota for a spot on the intestinal wall. In Chapter 3, we analyze an anomalous behavior observed in which two interacting pulses of E. coli in a one-dimensional nutrient gradient will turn around move away from one another rather than combine. To this end, we derive a novel system of ordinary differential equations approximating the dynamics of the classic Keller-Segel partial differential equations model for bacterial chemotaxis, and use this approximation to make testable predictions about mechanisms driving the turn around behavior. Finally, in Chapter 4, we use a two-strain SIR-type model of rotavirus transmission to study the effects of vaccination on a population exposed to multiple endemic strains.


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Item Type: University of Pittsburgh ETD
Status: Unpublished
CreatorsEmailPitt UsernameORCID
Young, Glennglenn49132@gmail.comGSY2
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee CoChairRubin,
Committee CoChairErmentrout,
Committee MemberSwigon,
Committee MemberSalman,
Date: 3 October 2016
Date Type: Publication
Defense Date: 27 June 2016
Approval Date: 3 October 2016
Submission Date: 21 July 2016
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 135
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: Mathematical biology, pathogen dynamics
Date Deposited: 03 Oct 2016 22:00
Last Modified: 15 Nov 2016 14:34


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