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Pathogen dynamics: Modeling and anal...

Young, Glenn.

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Pathogen dynamics: Modeling and analysis of competition, organization, and vaccination.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Pathogen dynamics: Modeling and analysis of competition, organization, and vaccination./
Author:	Young, Glenn.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
Description:	135 p.
Notes:	Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
Contained By:	Dissertation Abstracts International78-05B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10298883
ISBN:	9781369418989

Pathogen dynamics: Modeling and analysis of competition, organization, and vaccination.
Young, Glenn.

Pathogen dynamics: Modeling and analysis of competition, organization, and vaccination. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 135 p.

Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.

Thesis (Ph.D.)--University of Pittsburgh, 2016.

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.

ISBN: 9781369418989Subjects--Topical Terms:

515831
Mathematics.

Pathogen dynamics: Modeling and analysis of competition, organization, and vaccination.
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500 $a Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
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502 $a Thesis (Ph.D.)--University of Pittsburgh, 2016.
520 $a 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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