Dr. Mufid Abudiab
Associate Professor of Mathematics

 

Research Summary

Given my broad educational background in applied mathematics, I have worked in the area of mathematical biology since my days as a Ph.D. Student. My training has been in mathematical modeling, computational methods, and technology in math education. For my Ph.D. thesis (1987-1993), I worked on a problem titled "On the Dynamics of HIV Infection". This work called for a reasonable understanding of the human immune system, the creation of new mathematical theory and techniques to handle the analysis of the interaction of the AIDS virus and the major human immune cells at the cellular level, and the employment of advanced numerical methods in the simulation process.

I have continued my work in this area and other areas for the past 11 years; in fact, most of my peer-reviewed published papers are based on these endeavors. Furthermore, since 1997, I have been collaborating with a biologist (immunology), a couple of Engineers (Heat transfer and Control theory), and an Economist (Business Mathematics Curricula Reform).

My previous projects include

As highlighted in my vita, I like to mentor graduate and undergraduate researchers and collaborate with other faculty members. A sample of my previous collaborations is listed bellow:

  • 1."Mathematical Modeling of Bio-electromagnetic Information Processing the Extracellula Potentials and Fields of a Traveling Gaussian Wave Approximation of Action Potential for a Neural Volume Conductor", M Abudiab and C. McCauley, 28th Annual Texas Partial Differential Equations Conference, University of Texas-Pan America, Edinburg, Texas. March 19-20, 2005.

  • 2. "A Diffusion Model For The Dynamics of HIV-1 Infection", L. Li, M. Abudiab. I. Ahn, Discrete and Continuous Dynamical Systems-Series B, submitted April 2004.

  • 3. "Accuracy of Surface Current Velocity Measurements Obtained from HF Radar in Corpus Christi Bay, Texas", Mrs. Diseree Trujillo (Blutcher Conrad Institute) and M. Abudiab, Corpus Christi, Texas, May 2004.
  • 4."Statistical Analysis of the Risk Factors Associated with Infection and Transmission of Neisseria Meningitides in South Texas", PI: L. Waldbese, Co-PI: M. Abudiab, $12,200, Texas A&M University-Corpus Christi, University Research Grant, July 1, 1999.
  • 5."A comparison of Manual and Electrical Monitored Heart Rates to Predict VO2 Max Levels in College Age Students (20-30 years of age) on the 1.0-mile Walk Test", R. Pankey, L Seiger, M. Abudiab, and D Bacon, Research Quality for Exercise and Sport Journal, Vol. 68, No. 1, March 1997.