Thursday, March 2nd, 2017
12:00h., Central Meeting Room at DeustoTech
Applied and Computational Mathematics Division,National Institute of Standards and Technology (U.S.A.)
Many biochemical reactions involve a stream of chemical reactants flowing through a fluid-filled volume, over a surface to which receptors are confined. Such surface-volume reactions occur during blood clotting, drug-protein interactions, and DNA-damage repair.
Scientists measure reaction rate constants associated with these reactions using optical biosensors: an instrument in which reactants are convected through a flow-cell, over a surface to which other reactants are immobilized. Scientists currently study biosensor experiments which involve multiple interacting components on the sensor surface. We discuss a partial differential equation model for multiple-component reactions in optical biosensors. Thanks to high Peclet number flow, this model reduces to a set of nonlinear integrodifferential equations for the reacting species concentrations, which in turn reduces to a set of ordinary differential equations which can be used to measure rate constants using biosensor data. We conclude by discussing recent developments on a related problem concerning instruments involved in creating personalized medicine.