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

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Pathogen dynamics :/
其他題名:	Modeling and analysis of competition, organization, and vaccination.
作者:	Young, Glenn.
面頁冊數:	1 online resource (135 pages)
附註:	Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
Contained By:	Dissertation Abstracts International78-05B(E).
標題:	Mathematics. -
電子資源:	click for full text (PQDT)
ISBN:	9781369418989

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

Pathogen dynamics :Modeling and analysis of competition, organization, and vaccination. - 1 online resource (135 pages)

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

Thesis (Ph.D.)

Includes bibliographical references

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.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369418989Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Pathogen dynamics : = Modeling and analysis of competition, organization, and vaccination.
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500 $a Advisers: Jonathan E. Rubin; G. Bard Ermentrout.
502 $a Thesis (Ph.D.) $c University of Pittsburgh $d 2016.
504 $a Includes bibliographical references
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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
650 4 $a Applied mathematics. $3 1069907
650 4 $a Biophysics. $3 581576
655 7 $a Electronic books. $2 local $3 554714
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