I am interested in using mathematical models to understand the formation of a fibrin clot within the process of blood clotting. Using a kinetic polymerization framework, I am currently working on how fibrin-fibrinogen interactions affect both clot time and clot structure. In general, I am passionate about using mathematical and computational tools to understand the complex biological and biophysical components in physiological processes.
During blood coagulation, fibrinogen is converted to fibrin monomers that polymerize to form a fibrin mesh. The gel or clot is formed at clot time. Fibrin-fibrinogen interactions are thought to affect clot time and clot structure early on in the clotting process. Fibrin-fibrinogen complexes (also known as soluble fibrin complexes) are also an indicator for many clotting disorders, making it an important complex to study.
A. C. Nelson and A. L. Fogelson. "Modeling fibrin polymerization with fibrinogen interactions." In preparation.
A. C. Nelson, J. P. Keener, and A. L. Fogelson. "Kinetic model of two-monomer polymerization". Physical Review E, 101, 022501 (2020).
J. L. Herlin, A. C. Nelson, and M. Scheepers. "Using ciliate operations to construct chromosome phylogenies". Involve, Vol. 9, No. 1 (2016).
At University of Utah, I have had the opportunity to teach a wide variety of courses, including several online courses. As instructor, my responsibilites include lecture, writing quizzes and exams, and grading. Links to the course syllabi are below. During 2018-2019, I was a recipient University Teaching Assistantship recipient from the Graduate School with another graduate student, under the project, Graduate Teaching Mentor Program.
I am passionate about teaching pedagogy and training graduate student instructors in teaching best practices. I have been involved with the incoming Math Instructor Training Workshop for 3 years, and have been the lead graduate student facilitator for two years. Aimed at incoming graduate students and postdocs, the eight day long workshop includes practice lectures, workshops on campus-wide resources, and teaching pedagogy workshops.
In Fall 2020, I am teaching Math 2250-010, Differential Equations and Linear Algebra for Engineers. I also attend the Math Education/Teaching Seminar.
LeRoy E. Cowles Building (LCB)
anelson "at" math "dot" utah "dot" edu