The Mathematical Modeling of Electrochemical Blood Glucose SensorsPresented with Stephen Mackintosh
Our work involves the modeling of a basic blood glucose sensor, a device whose function is the measurement of a patient's blood sugar levels. We show how the basic behavior of such systems can be modeled analytically with partial differential equations, and how this quickly requires numerical solutions when more complexity is introduced to species interactions and domain geometry, necessitating the use of numerical solvers like COMSOL Multiphysics. We further demonstrate how such models can be powerful tools in the subsequent development of device algorithms that attempt to maximize the glucose signal from the sensor whilst mitigating undesirable error from interferences in the blood sample. In particular we look at Uric acid as a case study, a species present in human blood, which can generate unwanted background noise in an electrochemical sensor.
Steve received his undergraduate degree from the University of Ulster (1979) and PhD from Strathclyde University (1982). He is internationally recognized in the field of mathematical modeling, with 49 peer-reviewed publications and numerous conference presentations. Originally Steve joined LifeScan as a statistician, but later moved to R&D, and since 2006 has built and led the Modeling & Simulation team.
Prior to joining LifeScan in 2001 (then IML), Steve worked in the Statistics & Modeling Science department in Strathclyde University since 1991. Prior to that, he worked in the Physics department at Strathclyde, following post-doctoral work at Imperial College. Throughout this period his research work focused on using mathematical modeling techniques to address epidemiological and ecological questions at the population level. For example, he co-authored part of the 1988 UK Department of Health report on predicting and planning for HIV cases in England and Wales. In 1990-91 he spent fourteen months as a visiting research professor in the Biometrics Unit, Cornell University, and one month at the Los Alamos Laboratories in New Mexico on epidemic modeling (and revelled in his ID badge calling him a "Visiting Alien").