Dr. Hristo V. Kojouharov is a Professor and the Chair of the Department of Mathematics at the University of Texas at Arlington (UTA). 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 before joining UTA in 2000.

At present, Dr. Kojouharov is the director of the NSF-funded RTG: Vertically Integrated Interdisciplinary Training in Mathematics for Human Health program at UTA, which provides advanced research opportunities for students at all levels. He also organizes the Annual UTA Calculus Bowl competition for high school students. Throughout his career, Dr. Kojouharov has led numerous initiatives to promote mathematics education and research, including serving as Faculty Advisor for UTA's Mathematical Association of America (MAA) student chapter and the NSF-funded UTTER (Undergraduate Training in Theoretical Ecology Research) program at UTA. Additionally, he was a faculty member in the NSF-funded S-STEM SURGE and GK-12 programs, and the DOE-funded GAANN program at UTA, as well as the director of the Annual MAA Texas Section Calculus Bowl for college/university students.

• 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
  

• ``Impact of Dormancy on Mycobacterial Infection Persistence: A Modelling and Simulation Approach''
  Collaborators: Dr. Michael Chapwanya (Department of Mathematics and Applied Mathematics, University of Pretoria, South Africa), Dr. Phindile Dumani (Department of Mathematics and Applied Mathematics, University of Pretoria, South Africa)
  
  
• ``A New Mathematical Framework to Study the Dynamics of Calcium Signaling Pathways and Associated Therapies in Esophageal Cancer''
  Collaborators: Dr. Souvik Roy (Department of Mathematics, The University of Texas at Arlington), Dr. David H. Wang (Rogel Cancer Center, University of Michigan)
  
  
• ``Modeling, Analysis, and Simulation of Cardiovascular Aging and the Effects of Malignant CD8+ T-cells on Aortic Wall Stiffness''
  Collaborators: Dr. Daniel Trott (Department of Kinesiology, The University of Texas at Arlington)
  
  
• ``Nonstandard Finite Difference Methods for Partial Differential Equations''
  Collaborators: Dr. Souvik Roy (Department of Mathematics, The University of Texas at Arlington)
  
  
• ``Quantification of Polymerization and Backbone Disruption in Polydiacetylene-based Spray-on Sensors''
  Collaborators: Dr. Justyn Jaworski (Department of Bioengineering, The University of Texas at Arlington)
  
  
• ``Understanding Liver Regeneration and Tumor Cell Proliferation to Guide Liver Cancer Treatment Strategies''
  Collaborators: Dr. Souvik Roy (Department of Mathematics, The University of Texas at Arlington), Dr. Benito M. Chen-Charpentier (Department of Mathematics, The University of Texas at Arlington)
  
  
• ``A Predictive Theoretical Model to Understand the Spatio-Temporal Dynamics of Bacteriophage Persistence in Diverse Gut Microbiomes''
  Collaborators: Dr. Justyn Jaworski (Department of Bioengineering, The University of Texas at Arlington), Dr. Ami Radunskaya (Department of Mathematics, Pomona College), Dr. Maryann Horn (Department of Mathematics, Pomona College), Dr. Ana C Mendez (Department of Mathematics, The University of Texas at Austin), Dr. Fawaz K Alalhareth (Department of Mathematics, Najran University, Kingdom of Saudi Arabia)
  
  
• ``Modeling and Simulation of Left Ventricular Remodeling After Myocardial Infarction''
  Collaborators: Dr. Jun Liao (Department of Bioengineering, The University of Texas at Arlington), Dr. Benito M. Chen-Charpentier (Department of Mathematics, The University of Texas at Arlington), Dr. Mehtap Lafci (Department of Mathematics, Usak University, Turkey)
  

CURRENT SUPERVISED RESEARCH

     POST-DOCTORAL SUPERVISED RESEARCH:

	Amanda Patrick (Mathematics, UTA), 8/25-Present Research Project 1: ``Optimizing Immunotherapeutic Treatment of Esophageal Adenocarcinoma'' Research Project 2: ``Mathematical modeling of blood glucose and cardiovascular activities to predict cardiovascular diseases''
	Jyoti Bhadana (Mathematics, UTA), 1/25-Present Research Project 1: ``A patient-specific ordinary differential equation model of nicotine-driven lesion growth''
	Erika Gallo (Mathematics, UTA), 9/2024-Present Research Project 1: ``Optimizing Immunotherapeutic Treatment of Esophageal Adenocarcinoma'' Research Project 2: ``Nonstandard Finite Difference Methods for Partial Differential Equations'' Research Project 3: ``Mathematical modeling of blood glucose and cardiovascular activities to predict cardiovascular diseases'' Research Project 4: ``Optimizing Multidrug Treatment Strategies for Polymicrobial Coinfections in Cystic Fibrosis''

     PH.D. SUPERVISED RESEARCH:

	Emma Slack (Mathematics, UTA), 9/2024-Present Research Project 1: ``Nonstandard Finite Difference Methods for Partial Differential Equations'' Research Project 2: ``Understanding Liver Regeneration and Tumor Cell Proliferation to Guide Liver Cancer Treatment Strategies'' Research Project 3: ``Mathematical modeling of blood glucose and cardiovascular activities to predict cardiovascular diseases''
	Elizabeth Rubio (Mathematics, UTA), 9/2024-Present Research Project: ``Optimizing Immunotherapeutic Treatment of Esophageal Adenocarcinoma''
	RTG Graduate Scholars: Kyle Earp (Mathematics, UTA), 2/26-Present Cohort 3 Research Project: ``Optimizing Multidrug Treatment Strategies for Polymicrobial Coinfections in Cystic Fibrosis''
	RTG Graduate Scholars: Elizabeth Rubio, Emma Slack, Amira Claxton (Mathematics, UTA), 2/25-Present Cohort 2 Research Project: ``Modeling Viability of M13 Bacteriophage in Starvation Conditions for K-12 Escherichia Coli''
	RTG Graduate Scholars: Aaron Lubkemann, Carli Peterson (Mathematics, UTA), 2/2024-6/2025 Cohort 1 Research Project: ``A SIMPL Model of Phage-Bacteria Interaction Accounting For Mutation and Competition''

     UNDERGRADUATE SUPERVISED RESEARCH:

	Darsh Gandhi (Mathematics, UTA), 8/2023-Present Research Project 1: ``Understanding the Role of The Immune System in Age-Related Vascular Impairments'' Research Project 2: ``Nonstandard Finite Difference Methods for Partial Differential Equations'' Research Project 3: ``Understanding Liver Regeneration and Tumor Cell Proliferation to Guide Liver Cancer Treatment Strategies''
	Carlo Cardenas (Biology, UTA), 9/2025-Present Research Project 1: ``Impact of Dormancy on Mycobacterial Infection Persistence: A Modelling and Simulation Approach'' Research Project 2: ``Optimizing Multidrug Treatment Strategies for Polymicrobial Coinfections in Cystic Fibrosis''
	Austin Carlson (Mathematics, UTA), 5/2024-Present Research Project 1: ``Quantification of Polymerization and Backbone Disruption in Polydiacetylene-based Spray-on Sensors'' Research Project 2: ``Phenological Overlap in Obligate Plant-Pollinator Mutualism''
	RTG Undergraduate Scholars: Darsh Gandhi, Austin Carlson (Mathematics, UTA), 2/2024-Present Research Project: ``Optimizing Immunotherapeutic Treatment of Esophageal Adenocarcinoma''
	RTG Undergraduate Scholars: Darsh Gandhi, Austin Carlson, Emma Richardson (Mathematics, UTA), 8/2024-6/2025 Cohort 1 Research Project: ``A SIMPL Model of Phage-Bacteria Interaction Accounting For Mutation and Competition''

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PAST SUPERVISED RESEARCH

     POST-DOCTORAL SUPERVISED RESEARCH:

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

     PH.D. DISSERTATIONS DIRECTED:

	Ana Clarisa Mendez, Ph.D., UTA, 7/2024 Dissertation Title: ``Batch Culture Models of the Murine Gut Microbiome & The Impact of Simple Dormancy on Dormancy-Capable Microorganisms Models'' Position Obtained: Assistant Professor of Instruction, Department of Mathematics, The University of Texas at Austin, Austin, TX Current Position: Assistant Professor of Instruction, Department of Mathematics, The University of Texas at Austin, Austin, TX
	Fawaz K. Alalhareth, Ph.D., UTA, 7/2022 Dissertation Title: ``Higher-Order Nonstandard Finite Difference Methods for Autonomous Differential Equations with Applications in Mathematical Ecology'' Position Obtained: Assistant Professor, Department of Mathematics, Najran University, Najran, Saudi Arabia Current Position: Assistant Professor, Department of Mathematics, Najran University, Najran, Saudi Arabia
	Imelda Trejo Lorenzo, Ph.D., UTA, 5/2019 Dissertation Title: ``Modeling the Effects of the Immune System on Bone Fracture Healing'' Position Obtained: Post-Doctoral Research Associate, Los Alamos National Laboratory, Los Alamos, NM Current Position: CDC Steven M. Teutsch Prevention Effectiveness Fellow, Centers for Disease Control and Prevention, Atlanta, GA
	Iris Alvarado, Ph.D., UTA, 8/2018 Dissertation Title: ``Mathematical Modeling of the Bone Remodeling Process'' Position Obtained: Senior Lecturer in Mathematical Sciences, The University of Texas at Dallas, Richardson, TX Current Position: Assistant Professor of Instruction - Mathematical Sciences, The University of Texas at Dallas, Richardson, TX
	Daniel Wood, Ph.D., UTA, 7/2015 Dissertation Title: ``Advancements and Applications of Nonstandard Finite Difference Methods'' Position Obtained: Post-Doctoral Research Scholar, Vaccine and Infectious Disease Division, Fred Hutchinson Cancer Research Center, Seattle, WA Current Position: Applied Scientist, Amazon, Seattle, WA
	Xiaoyang Dong, Ph.D., UTA, 7/2013 Dissertation Title: ``Mathematical Models of Nutrient Recycling and Toxin Production in a Gradostat'' Position Obtained: Senior Associate (Analyst), Phoenix Analytics Center, Discover Financial Services, Phoenix, AZ Current Position: Quantitative Analytics Consultant, Wells Fargo, San Francisco, CA
	Alicia Prieto Langarica, Ph.D., UTA, 7/2012 Dissertation Title: ``From Discrete to Continuous Models of Cell Movement: An Application to Medical Implants'' Position Obtained: Assistant Professor, Department of Mathematics and Statistics, Youngstown State University, Youngstown, OH Current Position: Distinguished Professor, Department of Mathematics and Statistics, Youngstown State University, Youngstown, OH
	Ian P. Martines, Ph.D., UTA, 4/2008 Dissertation Title: ``Mathematical Analysis of Allelopathy and Resource Competition Models'' 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
	Dobromir T. Dimitrov, Ph.D., UTA, 4/2005 Dissertation Title: ``Nonstandard Finite-Difference Methods for Dynamical Systems with Applications in Mathematical Biology'' Position Obtained: Postdoctoral Research Scholar, Department of Ecology and Evolutionary Biology, University of Tennessee, Knoxville, TN Current Position: Senior Staff Scientist, Vaccine and Infectious Disease Division, Fred Hutchinson Cancer Research Center, Seattle, WA
	Hilaire M. Kadjo, Ph.D., UTA, 4/2004 Dissertation Title: ``An Age-Structured Population Model: Interactions Between Nutrients and Phytoplankton'' 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:

	Ana Clarisa Mendez, M.S., UTA, 12/2021 Thesis Title: ``Mathematical Modeling of Bacteriophage Persistence in Gut Microbiomes'' Position after M.S.: Ph.D. Student in Mathematics, University of Texas at Arlington, Arlington, TX
	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'' Position after M.S.: Institutional Research Associate, University Analytics, University of Texas at Arlington, Arlington, TX
	Alysmarie Hodges, M.S., UTA, 5/2012 Thesis Title: ``Numerical Methods for Solving an HPV ODE Model'' Position after M.S.: Mathematics Instructor, Dallas College El Centro Campus, Dallas, TX
	Tarik Celik, M.S., UTA, 4/2012 Thesis Title: ``Comparison of Nonstandard Numerical Methods for a Class of Initial Value Problems'' Position after M.S.: Ph.D. Student in Mathematics, University of Texas at Arlington, Arlington, TX
	Irfan Turk, M.S., UTA, 7/2011 Thesis Title: ``A Mathematical Model of Swine Flu 2009 with Vaccination'' Position after M.S.: Ph.D. student in Mathematics, Istanbul University, Istanbul, Turkey
	Darren Sheets, M.S., UTA, 4/2009 Thesis Title: ``Multiple Linear Regression Model of Visceral Leishmaniasis in Bihar, India'' Position after M.S.: Ph.D. Student in Economics, American University, Washington, DC
	Nithin Rahul, M.S., UTA, 11/2005 Thesis Title: ``Interpolation of an Economic Model using the Newton's Method and the Cubic Spline Method'' Position after M.S.: Software Analyst, Protective Insurance Company Inc., Carmel, IN
	Yonael Yohanes, M.S., UTA, 4/2005 Thesis Title: ``Numerical Simulation of Multi-Lane Traffic Flow'' Position after M.S.: Data Scientist, Datalitical Inc., Dallas, TX
	Sompoom Meechowna, M.S., UTA, 11/2004 Thesis Title: ``Numerical Methods for a System of Partial Differential Equations for Traffic Flow'' Position after M.S.: Instructor, Faculty of Academic, Navaminda Kasatriyadhiraj Royal Air Force Academy, Bangkok, Thailand
	Dobromir T. Dimitrov, M.S., UTA, 7/2003 Thesis Title: ``Complete Mathematical Analysis of a Predator-Prey Model with a Beddington-DeAngelis Functional Response'' Position after M.S.: Ph.D. Student in Mathematics, University of Texas at Arlington, Arlington, TX

     UNDERGRADUATE SUPERVISED RESEARCH:

	UROP Scholar: Emma Richardson (Mathematics, UTA), 8/2023-12/2023 Project Title: ``Batch Culture Models of the Gut Microbiome''
	UTA IRP Scholar: Marah Townzen Funk (Mathematics, UTA), 9/2017-6/2019 Project Title: ``Mathematical Modeling of Dynamics of Calcium Codes for Drugs Evaluation''
	Gavin Sabine (Mathematics, UTA), 9/2017-5/2018 Project Title: ``The Mathematics of Healing After Myocardial Infarction'' Position after B.S.: Ph.D. Student in Mathematics, Virginia Polytechnic Institute and State University (Virginia Tech), Blacksburg, Virginia
	UT LSAMP Scholar: Elizabeth Stephenson (Mathematics, 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'' Position after B.S.: Ph.D. Student in Mathematics, The Institute of Science and Technology Austria (IST Austria), Klosterneuburg, Austria
	URA Scholar: Ashley G. Carter (Biology, 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'' Position after B.S.: Medical Student, Alabama College of Osteopathic Medicine, Dothan, AL
	McNair Scholar: Wilber Ventura (Mathematics, UTA), 3/2011-5/2012 Project Title: ``Growth Cycle as a Function of Motility within Algal Mixotroph Prymnesium Parvum'' Position after B.S.: Ph.D. Student in Mathematics, University of Texas at Arlington, Arlington, TX
	UTTER Scholars: Michael DeBellevue, Dianna Nguyen, Zengxing Pang, Van Nguyen (Mathematics and Biology, UTA), 9/2013-1/2015 Research Project: Modeling the Effectiveness of Integrated Pest Management in Discrete Time''
	UTTER Scholars: Mouhamed Nashawi, Kristen Masha, Amsal Chagani, Isheanesu Nyangani (Mathematics and Biology, UTA), 9/2013-1/2015 Research Project: Influence of Nutrient Concentration on EPS Production and Biofilm Growth''
	UTTER Scholars: Christy Nguyen, Brittney Cox, Oladipo Oyediran, Humera Shaikh (Mathematics and Biology, UTA), 9/2013-1/2015 Research Project: Dynamics of Bison and Prairie Grass''
	UTTER Scholars: Ashley Carter, Joana Gonzalez, Omomayowa Olawoyin, Aileen Toja (Mathematics and Biology, UTA), 6/2013-7/2014 Project Title: ``A theoretical model of coinfection dynamics: The competition between the two bacterial species, Borrelia burgdorferi and Anaplasma phagocytophilum, within a human host''
	UTTER Scholars: Andrea Calderon, Ryan Landrith, Nhan Le, Ileana Munoz (Mathematics and Biology, UTA), 6/2012-7/2013 Project Title: ``A mathematical examination of the relationship between Visceral Leishmaniasis incidence and the proportion of Post-Kala-Azar Dermal Leishmaniasis cases treated into remission''
	UTTER Scholars: Amitpal Dhillon, Logan Grimes, Whitney Hall, Kevin Roche (Mathematics and Biology, UTA), 6/2012-7/2013 Project Title: ``Mathematical modeling and simulation of Staphylococcus aureus and its small-colony variant''
	UTTER Scholars: Stephanie Campos, Sarah Gauntt, Mark Jackson, An Lu, and Tina Vu (Mathematics and Biology, UTA), 6/2011-7/2012 Project Title: ``Quorum sensing and the effect of antibiotic on the dynamics of two types of bacteria''
	UTTER Scholars: Lindsey Dornberger, Brian Hull, and Christopher Mitchell (Mathematics and Biology, UTA), 10/2010-7/2012 Project Title 1: ``When zombies attack: Quarantine dynamics in a small urban population'' Research Title 2:
	UTTER Scholars: Jackie Tran, Katie Reed, Kaytee Schalla, Souad Sosa, and Thuy-My Truong (Mathematics and Biology, UTA), 8/2010-5/2011 Project Title: ``A General Model of the Innate Immune Response''
	UTTER Scholars: Tyler Randolf, Jayce Rodriguez and Wilber Ventura (Mathematics, UTA), 8/2010-5/2011 Project Title: ``A Mathematical Model of Bacteria and Nutrients in a Batch and Chemostat Culture''

     HIGH-SCHOOL STUDENT SUPERVISIONS

	Dylan Luong (Mansfield High School, TX), 8/2023-5/2024 Project Title: ``Understanding the Role of The Immune System in Age-Related Vascular Impairments'' Position after H.S.: Undergraduate Student in Premed & Entrepreneurship, The Johns Hopkins University, Baltimore, MD
	John Michael Slezak (Grapevine High School, TX), 7/2019-6/2020 Project Title: ``Nonstandard Finite Difference Methods for Differential Equations'' Position after H.S.: Undergraduate Student in Mathematics and Physics, Brown University, Providence, RI