Mathematical modeling is a pillar of the MOCA center and a cornerstone of research in applied mathematics. The aim of modeling is to provide a mathematical framework from which solutions to difficult problems can be obtained, either analytically or computationally, and solution properties can be optimized.
The fundamental open question in understanding how we hear concerns the role of a nonlinear feedback mechanism known as the cochlear amplifier.
This project concerns developing theoretical models of processing taking place in a number of brain areas, mostly early sensory pathways. One set of problems we have addressed concerns the asynchronous steady state of a sparsely, randomly connected neuronal network. Another set of problems add
This is an interdisciplinary program for undergraduates, graduate students, and postdoctoral associates that integrates modeling, analysis, and computations with contemporary experimental research.