Numerical Analysis Numerical Solution of
Ordinary and Partial Differential Equations/Systems:
Nonstandard Finite Difference Methods
Mathematical Biology Mathematical Modeling and Analysis of Complex Biological Systems:
Microbial Biofilms, Population Interactions, Bone Formation and Growth,
the Human Immune System, and Gut Microbiomes
Dr. Hristo V. Kojouharov is a Professor of Mathematics and the Graduate Advisor for the
Ph.D. and M.S. Programs in Mathematics at the University of Texas at Arlington.
He earned his Ph.D. in Mathematics from the University of Wyoming in 1998,
and then spent two years as a Visiting Assistant Professor of Mathematics at Arizona State University.
He was appointed to the faculty at UT Arlington in 2000.
At present, Dr. Kojouharov is the Faculty Advisor for the student chapter of the Mathematical Association of America
(MAA) at UTA and one of the faculty members in the
NSF S-STEM SURGE program and in the DOE GAANN program at UTA.
He has been the director of the NSF funded UTTER
(Undergraduate Training in Theoretical Ecology Research)
program and has also been heavily involved with the NSF GK-12 program at UTA.
In addition, he is the director of the Annual UTA Calculus Bowl competition
at the high-school level and was also of the
Annual MAA Texas Section Calculus Bowl at the college/university level.
POST-DOCTORAL RESEARCH SUPERVISIONS
Mehtap Lafci, Post-Doc, UTA, 6/2018-6/2019
Research Project: ``Mathematical Modeling of Post-Myocardial Infarction Left Ventricular Remodeling''
Current Position: Assistant Professor of Mathematics,
Usak University, Usak, Turkey
GRADUATE STUDENT SUPERVISIONS
CURRENT PH.D. STUDENTS:
Ana Mendez, Ph.D. Student, UTA
Research Project: ``Mathematical Modeling of Bacteriophage Persistence in Gut Microbiomes''
Fawaz Alalhareth, Ph.D. Student, UTA
Research Project: ``Higher-Order Nonstandard Finite Difference Methods for Differential Equations''
Position Obtained: Postdoctoral Research Scholar, Paul M. Rady School of Computer Science and Engineering,
Western Colorado University, Gunnison, CO
Current Position: Professor of Mathematics and Interim Dean,
School of Science, Engineering and Technology,
St. Mary's University, San Antonio, TX
Position Obtained: Systems Engineer, Network Centric Systems, ITAS,
Raytheon Company, Plano, TX
Current Position: Systems Engineer, Lockheed Martin Missiles and Fire Control,
Lockheed Martin Corporation, Grand Prairie, TX
M.S. SPECIAL PROJECTS / THESES DIRECTED:
Huda Amer Hadi, M.S., UTA, 8/2017
Thesis Title: ``A Mathematical Model of Hepatitis C Virus Infection Incorporating Immune Responses and Cell Proliferation''
Position after M.S.: Lecturer, Mathematics Department, College of Education for Pure Sciences,
University of Babylon, Hilla, Iraq
Robert Childress, M.S., UTA, 11/2015
Thesis Title: ``Comparative Analysis of Various Continuous-Time Deterministic Models of Tumor-Immune Interactions''
Elizabeth Stephenson, UTA, 6/2016-8/2018
Project Title: ``Mathematical Modeling of Skeletal Muscle Regeneration''
Project Title: ``Mathematical Modeling of Dynamics of Calcium Codes for Drugs Evaluation''
Ashley G. Carter, UTA, 5/2013-8/2013
Project Title: ``Opportunistic Co-Infection of Bacterial Pathogens:
Competition for Resource and Host Survival in Neutropenic Patients with
Polymicrobial Nosocomial Infections''
M. DeBellevue, D. Nguyen, Z. Pang, V. Nguyen, M. Nashawi, K.
Masha, A. Chagani, I. Nyangani; C. Nguyen, B. Cox, O. Oyediran, H. Shaikh, A. Carter, J.
Gonzalez, O. Olawoyin, A. Toja; A. Calderon, R. Landrith, N. Le, I. Munoz, A. Dhillon, L.
Grimes, W. Hall, K. Roche; S. Campos, S. Gauntt, M. Jackson, A. Lu, T. Vu, L. Dornberger,
B.Hull, C. Mitchell, H. Shopp; J. Tran, K. Reed, K. Schalla, S. Sosa, T. Truong, T. Randolph,
J. Rodriguez, W. Ventura, UTA, 8/2010-1/2015
HIGH-SCHOOL STUDENT SUPERVISIONS
John Michael Slezak, Grapevine High School, 7/2019-6/2020
Project Title: ``Nonstandard Finite Difference Methods for Differential Equations''
Position after H.S.: Undergraduate Student in Mathematics and Physics,