Project Info

*Multiscale modeling and simulation of the in-host dynamics of HIV infection

Stephen Pankavich
pankavic@mines.edu
In 2007, a mathematical model of HIV, consisting of a set of 7 nonlinear differential equations, was introduced. This model was the first to simulate the entire life span of HIV, and once the model's parameters were fit, it accurately matched clinical data from infected subjects. However, in order to achieve this feat, a nonbiological term (a term which has no clear biological cause) was added to the differential equations. The general purpose of this project is to investigate this anomalous term: specifically, by considering other common biological factors within the model and using multiscale analysis to elucidate their impact . We are interested in whether the model responds realistically (i.e. the equations act "biologically") to small alterations, which would add credence to the nonbiological term's credibility; or whether the model "breaks" when subjected to the addition of these new common biological factors, which would imply that the addition of the new term is inconsistent with the biological nature of the model.

More Information:

Grand Challenge: Not applicable
Publications on my research website: https://sites.google.com/view/spcsmsite/publications

Primary Contacts:

I am the primary contact.

Student Preparation

Qualifications

The student should have familiarity with differential equations, linear algebra, and scientific computing. Additionally, the student should be open to learning more about the background biology or biophysics inherent within the problems of interest.

TIME COMMITMENT (HRS/WK)

4-5

SKILLS/TECHNIQUES GAINED

The student will gain modeling skills by creating and modifying existing mathematical models and hone their computational skills by coding in MATLAB and/or Python.

MENTORING PLAN

The student will meet weekly with myself and my team of graduate students and collaborators.

PREFERRED STUDENT STATUS

Sophomore
Junior
Senior
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