Linn, Sherry
(2011)
A Model of Bacterial Superinfection in an Influenza-Infected Host.
Master's Thesis, University of Pittsburgh.
(Unpublished)
Abstract
Bacterial pneumonia is a common complication of influenza A infection. We create an ODE model of bacterial infection with state variables representing the respective levels of bacteria, impaired and active neutrophils, and the anti-inflammatory molecule interleukin 10 (IL-10). After fitting the parameters, we obtain a model that demonstrates bistability between states of health and chronic bacterial infection. The fitted model also closely reproduces IL-10 data obtained from a model of mice inoculated with a strain of influenza A virus. Additionally, we develop a different model similar to the first but with stochastic intake of bacteria to represent the inhalation of small amounts of bacteria into the lungs many times daily. We find a set of parameters for which the second model produces a fit to the IAV IL-10 data.
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Details
Item Type: |
University of Pittsburgh ETD
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Status: |
Unpublished |
Creators/Authors: |
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ETD Committee: |
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Date: |
6 June 2011 |
Date Type: |
Completion |
Defense Date: |
18 March 2011 |
Approval Date: |
6 June 2011 |
Submission Date: |
11 April 2011 |
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: |
MS - Master of Science |
Thesis Type: |
Master's Thesis |
Refereed: |
Yes |
Uncontrolled Keywords: |
inflammation; mathematical model |
Other ID: |
http://etd.library.pitt.edu/ETD/available/etd-04112011-115917/, etd-04112011-115917 |
Date Deposited: |
10 Nov 2011 19:35 |
Last Modified: |
15 Nov 2016 13:39 |
URI: |
http://d-scholarship.pitt.edu/id/eprint/7023 |
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