Alan Lindsay

Assistant Professor of Applied and Computational Mathematics and Statistics

Contact

276B Hurley Hall
a.lindsay@nd.edu
574-631-3511
http://www3.nd.edu/~alindsa1/

Research Cluster

Computational Models

My research seeks to understand how random processes allow social, chemical and biological systems to reliably communicate and function. In the pollination of a flower or the immune system response to infection, the arrival of a single particle can initiate a cascade of events. The motions of these particles are largely random, yet these processes operate in ordered and predictable ways.

To understand these stochastic phenomena, we are building mathematical models in the form of partial and stochastic differential equations. Using a combination of analytical and computational tools, we are using these models to show how randomness is a positive constructive force in biophysical processes. These results give fundamental insight into the feasibility and effectiveness of stochastic transport mechanisms. 

Publications

  1. "Constraining CD45 exclusion at close-contacts provides a mechanism for discriminatory T-cell receptor signalling" Fernandes, R.A.; Ganzinger, K.A.; Tzou, J.; Jonsson, P.; Lee, S.F.; Palayret, M.; Santos, A.M.; Chang, V.T.; Macleod, C.; Lagerholm, B.C.; Lindsay, A.E.; Dushek, O.; Tilevik, A.; Davis, S.J.; Klenerman, D. bioRxiv 2017, 109785.
  2. "Optimization of first passage times by multiple cooperating mobile traps" Lindsay, A.E.; Tzou, J.C.; Kolokolnikiv, T. Multiscale Model. Simul. 2017.
  3. "First Passage Statistics for the Capture of a Brownian Particle by a Structured Spherical Target with Multiple Surface Traps" Lindsay, A.E.; Bernoff, A.J.; Ward, M.J. Multiscale Model. Simul. 2017, 15(1), 74-109.
  4. "Hybrid asymptotic-numerical approach for estimating first passage time densities of the two-dimensional narrow capture problem" Lindsay, A.E.; Spoonmore, R.T.; Tzou, J.C. Phys. Rev. E 2016, 94, 042418.
  5. "Narrow escape problem with a mixed trap and the effect of orientation" Lindsay, A.E.; Kolokolnikov, T.; Tzou, J.C. Phys. Rev. E 2015, 91, 032111.