Speaker: Andy Stein (IMA)
Title: Optimization in mathematical biology
Abstract: A common part of many mathematical biology problems involves optimization. Two major areas where it's important is in finding the optimal set of parameters to fit a model and in minimizing the energy of a biophysical system. In this talk, the speaker will present an overview of a few simple optimization algorithms, including the Nelder-Mead Simplex Method, Newton-Raphson, Conjugate Gradient and provide examples of their use in his own research on tumor invasion and collagen micromechanics. If time permits, the speaker will also touch on global optimization methods.
A note to the audience: The author is not an expert on optimization techniques and one purpose of this talk is to improve his own understanding of the field, as well the audience's. Comments and discussion at this seminar will be welcome.