Iordanka Panayotova - Christopher Newport University

Directory



Iordanka N Panayotova

Department of Mathematics

Iordanka Panayotova

Associate Professor

Luter Hall 369
(757) 594-8205
iordanka.panayotova@cnu.edu

Education

  • Ph D in Applied Mathematics, University of Wisconsin - Milwaukee
  • Ph D in Computational Mathematics, National Academy of Sciences
  • MS in Mathematics, Sofia University, Bulgaria

Teaching

Calculus; Differential Equations; Perturbation Methods; Finite Difference Methods; Mathematical Modeling; Asymptotic Methods.

Research

Mathematical modeling and simulation, numerical methods, differential equations, finite difference methods, turbulence, and hydrodynamic stability.

Biography

Dr. Panayotova has received a Ph.D. in Applied Mathematics from University of Wisconsin - Milwaukee in 2005 and a Ph.D. in Computational Mathematics from the National Academy of Sciences of Belarus in 2000. She got her M.S. in Mathematics from Sofia University, Bulgaria in 1992. From 2005 to 2007 she has been a Research Scientist at the Institute for Scientific Research at Boston College, MA where her research on clear air turbulence was supported by the Air Force Research Laboratory. From 2007 to 2014 she has been an Assistant Professor at Old Dominion University. From 2014 to 2016 she has been a Visiting Assistant Professor at Virginia Wesleyan College, and since 2016 she is working at Christopher Newport University. Dr. Panayotova has 16 published articles, and 30 presentations at domestic and international professional meetings.
During her carrier, Dr. Panayotova has thought a variety of undergraduate and graduate level classes, including Calculus and Differential Equations, Perturbation Methods, Finite Difference Methods, and special courses as Introduction to Meteorology. Dr. Panayotova has been working with both graduate and undergraduate students, mentoring them on a variety of research topics including mathematical modeling of the climate change in the Arctic, modeling of Ebola outbreak, and of the many species interactions in Chesapeake Bay, as well as evolutionary biology, hydrodynamic stability and turbulence.
Dr. Panayotova's current research is focused on modeling and simulation the aerodynamics of spider ballooning. The goal of this project is to identify the crucial physical phenomena driving this unique dispersal process. For this purpose a 2D and a 3D models are investigated. Mathematically, the model is described as a fully-coupled fluid-structure interaction problem of a flexible dragline moving through a viscous, incompressible fluid. The immersed boundary method is used to solve this complex multi-scale problem. Specifically, an adaptive and di

Selected Accomplishments

  • 2023 Annual Faculty Award for Excellence in Interdisciplinarity, Christopher Nepwort University. (2023)
  • Commonwealth of Virginia 10 years Service Award, Commonwealth of Virginia. (2021)
  • 2020 Class of 2013 Faculty Development Fund Award, Christopher Newport University. (2020)
  • Journal Article, Academic Journal
    Quantifying wellness: Integrating mathematical models in diabetes self-management. SIAM Review.
  • Book, Chapter in Scholarly Book-New
    (2023). Oncolytic virus vs cancer: Modeling and Simulation of Virotherapy with Differential Equations. Springer. Volume, 23. Pages, 1-22.
  • Journal Article, Academic Journal
    (2023). Bioeconomic analysis of harvesting within a predator-prey system: A case study in the Chesapeake Bay fisheries. Ecological Modeling. Volume, 480C. Issue, 6. Pages, 110330.
  • Journal Article, Academic Journal
    (2022). Maintaining Ecosystem and Economic Structure in a Three-Species Dynamical System in Chesapeake Bay. CODEE Journal. Volume, 15. Issue, Article 3.
  • Journal Article, Academic Journal
    (2022). Modelling Fish Dynamics in Chesapeake Bay: Addressing Ecological Issues of Over-fishing and Invasiveness. Ecological Modeling. Volume, 466. Issue, 109885. Pages, 1-10.
  • Journal Article, Academic Journal
    (2021). Analyzing an efficient wireless power transmission system. SIMIODE. Issue, 3-092-T-WirelessPower.
  • Journal Article, Professional Journal
    (2021). Fitting the Lotka-Volterra model to time series data with gauseR package. SIMIODE. Issue, 6-067-T-LotkaVolterra. Pages, 6-067-S-LotkaVolterra.
  • Journal Article, Academic Journal
    (2021). Should cancer therapy start before or after surgery?. SIMIODE. Issue, 1-150-S-CancerTherapy.
  • Journal Article, Professional Journal
    (2021). The good kind of virus: Oncolytic viruses vs cancer cells. SIMIODE. Issue, 6-017-S-OncolyticViruses.
  • Journal Article, Academic Journal
    (2018). Modeling the Impact of Climate Change on a Rare Color Morph in Fish. Ecological Modeling. Volume, 387. Issue, 10. Pages, 10-16.
  • Conference Proceeding
    (2018). Spider Ballooning: Simulating take-off, flight, and settling. Virginia Journal of Science.
  • Journal Article, Academic Journal
    (2017). Flying Spiders: Simulating and Modeling the Dynamics of Ballooning. Women in Mathematical Biology, Association for Women in Mathematics Series. Volume, 8. Pages, 179-210.
  • Journal Article, Academic Journal
    (2017). Revisiting the Physics of Spider Ballooning. Women in Mathematical Biology, Association for Women in Mathematics Series. Volume, 8. Pages, 163-178.
  • Iordanka Panayotova, Joint Mathematical Meeting, "Bioeconomic Analysis of One Prey and Two Predators System: Balancing Economic Gains and Ecological Sustainability," Boston. (2023)
  • Iordanka Panayotova, Joint Mathematical Meeting, "Modeling with Differential Equations: Fostering Student Curiosity and Engagement through Collaborative Modeling Activities," Boston, MA. (2023)
  • Iordanka Panayotova, New Trends in the Applications of Differential Equations in Sciences, "Oncolytic Virus vs Cancer: Modeling and Simulation of Virotherapy with Differential Equations," Sozopol, Bulgaria. (2022)
  • Iordanka Panayotova , Maila Brucal-Hallare, Biology and Medicine through Mathematics, "Bioeconomic Analysis in a Predator-Prey System with Harvesting: A Case Study in the Chesapeake Bay Fisheries," VCU. (2022)
  • Maila Brucal-Hallare, Iordanka Panayotova, Biology and Medicine through Mathematics, "Mathematical modelling of oncolytic virotherapy as a cancer treatment," Richmond, VA. (2022)
  • Iordanka Panayotova , Maila Hallare, Joint Mathematical Meeting, "Fitting a Model to Real Data: Recreating Predator-Prey Dynamics, Estimating Parameters, and Simulating Long-Term Behavior," virtual. (2022)
  • Iordanka Panayotova , Maila Hallare, Joint Mathematical Meeting, "Modeling cancer treatment by oncolytic viruses with differential equations," virtual. (2022)
  • Iordanka Panayotova , Maila Hallare, Joint Mathematical Meeting, "Modeling Three Fish Dynamics in Chesapeake Bay: Addressing the Ecological Issues of Invasiveness and Overfishing," Seattle, WA. (2022)
  • Iordanka Panayotova, SIMIODE EXPO 2022, "Fostering student engagement and collaboration with real-life scenarios in and out of the classroom," virtual. (2022)
  • Iordanka Panayotova , Madison Hoecker, Nicole Rychagov, Virginia Academy of Sciences Annual Meeting, "A study on the efficacy of different treatment regimens on gliomas with mathematical modeling," virtual. (2021)
  • Iordanka Panayotova , Nicole Rychagov, Joint Mathematical Meeting, "Mathematical model of the effects of a novel HIV drug on human immune system," Denver, CO. (2020)
  • Iordanka Panayotova, Department of Mathematics Biomath Seminar, "Flying Spiders: Numerical simulations of spider ballooning," Richmond. (2019)
  • Iordanka Panayotova, Jordan Hines, Tatiana Elizarova, Virginia Academy of Sciences Annual Meeting, "Mathematical Modeling of cancer growth and treatment," Norfolk, VA. (2019)
  • Iordanka Panayotova, SIAM Annual Meeting, "Numerical Simulations of the Aerodynamics of Spider Ballooning," Portland, OR. (2018)
  • Iordanka Panayotova , Jordan Hines, Jessica Masterson, Virginia Academy of Sciences Annual Meeting, "Spider Ballooning: Simulating take-off, flight, and settling," Longwood University. (2018)
  • Iordanka Panayotova, "Data-driven Mathematical Modeling of Climate Change Effects on Chesapeake Bay Fishes," Sponsored by The Innovation Hub at Christopher Newport University
  • Iordanka Panayotova , Viktoria Savatorova, Maila Hallare, "Ecosystem-based Mathematical Modeling of Climate Resilience of Fishes," Sponsored by Mathematical Sciences Research Institute
  • Iordanka Panayotova, "Faculty Development Grant," Sponsored by Christopher Newport University
  • Iordanka Panayotova , Maila Hallare, "CNU and NSU Collaboration for Undergraduate Research in Mathematics," Sponsored by NSF through the Center for Undergraduate Research in Mathematics
  • Iordanka Panayotova, "Faculty Development Grant," Sponsored by CNU
  • Iordanka Panayotova , Tatiana Elizarova, Jordan Hines, "Improving Clinical Outcomes in Cancer Treatment with Mathematical Modeling," Sponsored by Virginia Academy of Sciences
  • Iordanka Panayotova, Jordan Hines, Tatiana Elizarova, "Mathematical models of tumor growth and treatment responses for decision-making in the clinic," Sponsored by OURCA
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