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Research Experience
- 07/2011-present: Senior research scientist, Center for Research in Scientific Computation,
North Carolina State University, Raleigh, NC.
- 03/2009-06/2011: Research assistant professor, Center for Research in Scientific Computation,
North Carolina State University, Raleigh, NC.
- Using elastic and electromagnetic waves to detect a buried target
- Dynamical differential games with uncertainty in the context of electromagnetics
- Modeling and optimal control of immune response of transplant patients
- 01/2005-02/2009: Postdoctoral research associate, Center for Research in Scientific Computation,
North Carolina State University, Raleigh, NC.
Mentor: Dr. H.T. Banks
- Seek to systematically integrate mathematical and
statistical modeling in the clinical research process to help
design innovative adaptive treatment strategies for HIV Patients.
This involves modeling HIV infection and immune suppression, developing a
computational framework to fit these models to clinical data, using
these models to inform the clinical trial design, and applying nonlinear filtering apporaches (e.g.,
Extended Kalman Filter, Gaussian Quadrature Filter, and Unscented Kalman Filter) to HIV models.
- Developped qualitative models for analyzing the system that
provides the rapid production of large quantities of therapeutic
and/or preventative countermeasures responding to bio-toxic
attacks on populations. Questions pertaining to use of models to
design this system in an efficient manner involve modeling,
sensitivity analysis, parameter estimation, propagation of uncertainty in deterministic dynamical systems, and control theory
including heavy emphasis on computational methods.
- 01/2004-07/2004: Research Assistant, Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA.
Advisor: Dr. Azmy S. Ackleh
Participated in writting two user-friendly software packages using Matlab and compiled them as stand-alone packages:
- A Spatially Explicit Model for Nutria Population Dynamics and Management
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A Numerical Solver for General Size-Structured Population Models
- 06/2003-07/2003: Research Assistant, Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA.
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Presentations
- Invited lecture, Southeastern-Atlantic Regional Conference
on Differential Equations, Virginia Tech, Blacksburg, VA.
A Comparison of Nonlinear Filtering Approaches in the Context of an HIV Model, October, 2010.
- Invited lecture, Atlantic Coast Symposium on the
Mathematical Sciences in Biology and Biomedicine, NC State University, Raleigh, NC.
Comparison of Probabilistic and Stochastic Formulations in Modeling Growth Uncertainty and Variability, April, 2008
- Invited lecture, 7th International Conference on Computational and
Mathematical Methods in Science and Engineering, CMMSE2007,
Illinois Institute of Technology, Chicago, Illinois.
Modeling and Numerical Simulating of Shrimp Biomass and
Vaccine Production System, Industrial Mathematics, June 2007.
- Invited lecture, Atlantic Coast Conference on Mathematics in the Life and
Biological Sciences, Virginia Tech, Blacksburg, VA.
Mathematical Formulation of Shrimp Biomass and Viral
Production System, May 2007.
- Invited lecture, Dynamics of Infectious Diseases: Longitudinal Data
Acquisition and Analysis, Population and In-Host Models, and
Statistical and Mathematical Methodologies, SAMSI, NC.
Akaike Information Criterion, April 2007.
- Invited lecture, MAA PREP Workshop on Mathematics Meets Biology: Competitive
Exclusion, Coexistence and Data Fitting, University of Louisiana
at Lafayette, Markov Chain Monte Carlo and Its Application
in Parameter Estimation for HIV Models, May 2005.
- Invited lecture, 29th Annual SIAM Southeast Atlantic Section Meeting,
Charleston, SC. Parameter Estimation in a Coupled System
of Nonlinear Size-Structured Populations, Inverse Problems in
Electromagnetics and Biology Minisymposium, March 2005.
- Contributed lecture, AMS National Meeting, Atlanta, GA. A Quasilinear
Hierarchical Size Structured Model: Well-Posedness and
Approximation, session on Statistics and Numerical
Analysis II, January 2005.
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