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Virginia Tech

1. Torrence, Robert Billington. Bayesian Parameter Estimation on Three Models of Influenza.

Degree: MS, Mathematics, 2017, Virginia Tech

Mathematical models of viral infections have been informing virology research for years. Estimating parameter values for these models can lead to understanding of biological values. This has been successful in HIV modeling for the estimation of values such as the lifetime of infected CD8 T-Cells. However, estimating these values is notoriously difficult, especially for highly complex models. We use Bayesian inference and Monte Carlo Markov Chain methods to estimate the underlying densities of the parameters (assumed to be continuous random variables) for three models of influenza. We discuss the advantages and limitations of parameter estimation using these methods. The data and influenza models used for this project are from the lab of Dr. Amber Smith in Memphis, Tennessee. Advisors/Committee Members: Chung, Matthias (committeechair), Borggaard, Jeffrey T (committee member), Smith, Amber Marie (committee member), Ciupe, Mihaela Stanca (committee member).

Subjects/Keywords: Influenza; Bayesian Inference; Parameter Estimation; Mathematical Biology; MCMC Methods; Metropolis Algorithm

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Torrence, R. B. (2017). Bayesian Parameter Estimation on Three Models of Influenza. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77611

Chicago Manual of Style (16th Edition):

Torrence, Robert Billington. “Bayesian Parameter Estimation on Three Models of Influenza.” 2017. Masters Thesis, Virginia Tech. Accessed August 23, 2017. http://hdl.handle.net/10919/77611.

MLA Handbook (7th Edition):

Torrence, Robert Billington. “Bayesian Parameter Estimation on Three Models of Influenza.” 2017. Web. 23 Aug 2017.

Vancouver:

Torrence RB. Bayesian Parameter Estimation on Three Models of Influenza. [Internet] [Masters thesis]. Virginia Tech; 2017. [cited 2017 Aug 23]. Available from: http://hdl.handle.net/10919/77611.

Council of Science Editors:

Torrence RB. Bayesian Parameter Estimation on Three Models of Influenza. [Masters Thesis]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/77611

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