Project Info
*Computational modeling of mobile cells with biochemically-active surfaces
Karin Leiderman
kleiderman@mines.edu
The main goal of this project is to implement computational models of a biological cells that move and biochemically interact with solutes in their external surroundings. The models will begin with single, immobile cells, but will slowly increase in complexity throughout the course of project. The computational models will employ single-point like objects, called a blobs, to represent the cells. The cells will be immersed in an environment filled with solutes that diffuse and biochemically react with the cells. The surfaces of the cells will be ‘active’ and support biochemical reactions that generate and release products into the external environment. The mathematical representations of the solutes will be continuous partial differential equations that incorporate advection, diffusion, and reaction. This project is interesting as it will serve as an initial exploration into mathematical modeling of blood platelets during clotting.
More Information:
Grand Challenge: Not applicable
Primary Contacts:
Karin Leiderman
Student Preparation
Qualifications
For this project, students should have taken MATH 307, 331, 455, and must have a good working knowledge of MATLAB. MATH 408 is also desired, but not necessary.
TIME COMMITMENT (HRS/WK)
4
SKILLS/TECHNIQUES GAINED
Students working on this project will gain experience building, implementing, and testing computational models. Students will also be expected to participate in group meetings where they will gain experience discussing and presenting their work to other students and faculty.
MENTORING PLAN
I will meet with the student one-on-one, once a week, to discuss the project. Additionally, the student will be integrated into my weekly research group meetings where they will meet other undergraduate and graduate students working in mathematical biology. I will also work closely with the student on professional development topics, including scientific presentations and writing.
PREFERRED STUDENT STATUS
Junior
Senior