Kathryn G. Link

I am a 5th year graduate student in the mathematical biology research program. Here is a copy of my curriculum vitae.

GENERAL RESEARCH INTERESTS: My research interests include the development and analysis of mathematical models and computational tools for problems at the intersection of fluid dynamics, biology, and transport in porous media. I am currently interested in understanding the phenomenon known as immunothrombosis, defined as the crosstalk between coagulation and innate immunity. To investigate this intersection of biological processes, Aaron L. Fogelson, Ph.D and myself have developed two ordinary differential equation (ODE) models that capture both biochemical and biophysical dynamics of the hemostatic system and a key player in innate immunity, the complement system.

FLOW-MEDIATED HEMOSTASIS IN AN EXTRAVASCULAR INJURY: We are validating our mathematical model of platelet deposition in an extravascular injury that incorporates platelet function and the effects of flow through an extravascular injury. This communication of models is a result of collaboration with both Karin Leiderman, Ph.D and Keith Neeves, PhD at the Colorado School of Mines, where our work is contributing to a systems biology approach to identifying bleeding risk factors for hemophilia and von Willebrand disease.

IDENTIFYING BIOMARKERS OF HEMOPHILIA: To further these efforts, we conducted a local and global sensitivity analysis of a mathematical model of coagulation and platelet deposition under flow.

INITIATION OF THE ALTERNATIVE PATHWAY OF THE COMPLEMENT SYSTEM: We have developed one of the first mathematical models of fluid-phase activation of the alternative pathway of the complement system that has been partially validated by experimental data. We intend to extend this model to include membrane-associated reactions as well

Publications

I have authored 6 journal articles.

  • K.G. Link, M.T. Stobb, J.A. Di Paola, K.B. Neeves, A.L. Fogelson, S.S. Sindi, K. Leiderman, “A local and global sensitivity analysis of a mathematical model of coagulation and platelet deposition under flow”, PLoS One, 13 2018.
  • H.T. Banks, S. Hu, K.G. Link, E.S. Rosenberg, S. Mitsuma, and L. Rosario, “Modeling Immune Response to BK Virus Infection and Donor Kidney in Renal Transplant Recipients”, Inverse Problems in Science & Engineering 24(1) 127-152 2016.
  • H.T. Banks, B.E. Banks, K.G. Link, J.A. Rosenheim, C. Ross, and K.A. Tillman, “Model Comparison Tests to Determine Data Information Content", Applied Mathematical Letters, 3 10-18 2015.
  • H.T. Banks, D.F. Kapraun, K.G. Link, W.C. Thompson, C. Peligero, J. Argilaguet, A. Meyerhans, “Analysis of Variability in Estimates of Cell Proliferation Parameters for Cyton-Based Models Using CFSE-Based Flow Cytometry Data”, Journal of Inverse and Ill-posed Problems, 23(2) 135-171 2014.
  • T. Huffman, K. Link, J. Nardini, L. Poag, K. Flores, H.T. Banks, B. Blasco, J. Jungfleisch, J. Diez, “A Mathematical Model of RNA3 Recruitment in the Replication Cycle of Brome Mosaic Virus”, International Journal of Pure and Applied Mathematics, 89(2) 251-274. 2013
  • H.T. Banks, S. Hu, M. Joyner, A. Broido, B. Canter, K. Gayvert, K. Link, “A comparison of computational efficiencies of stochastic algorithms in terms of two infection models” , CRSC, North Carolina State University, Retrieved from https://repository.lib.ncsu.edu/bitstream/handle/1840.4/8206/crsc- tr11-13.pdf?sequence=1 2011
  • Conferences & Workshops

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    Teaching & Outreach

    While a graduate student at the University of Utah, I have had the privilege to teach multiple undergraduate courses. Click on the links below to see the syllabus for the respective course (additional information can be found on Canvas for enrolled students). To see my teaching evaluations, click here.

    Possibly broke spacetime

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    Terraformed a small moon

    Integer eu ante ornare amet commetus vestibulum blandit integer in curae ac faucibus integer adipiscing ornare amet.

    Snapped dark matter in the wild

    Integer eu ante ornare amet commetus vestibulum blandit integer in curae ac faucibus integer adipiscing ornare amet.

    Contact Me

    My office is LCB 317, and if the door is open, come in and chat! If I am not in the office, email is the best way to reach me.

    Email: link@math.utah.edu

    Phone: (801) 585-1635

    LeRoy Cowles Building (LCB), Building #013, Rm. 317