Document Type

Theses, Ph.D


Available under a Creative Commons Attribution Non-Commercial Share Alike 4.0 International Licence



Publication Details

Successfully submitted for the award of Doctor of Philosophy (Ph.D) to the Technological University Dublin, August, 2011.


A biosensor is defined as a compact analytical device incorporating a biological sensing element integrated within a physico-chemical transducer whose aim is to produce optical or electronic signals proportional to the concentration of an analyte in a sample. Biosensors offer enormous potential to detect a wide range of analytes in health care, the food industry, environmental monitoring, security and defence. The beneficial impact on society as a result of the availability of such systems is immense, therefore investigating any strategy that could reduce development times and costs and reveal alternative designs is of utmost importance. In particular, mathematical modelling and simulation, the so-called \virtual experimentation", is a relatively inexpensive and yet powerful tool for scientific analysis and prediction. Biosensor modelling is a rich source of mathematical challenges. The main components of biosensors are based on well-understood physical processes (such as diffusion, convective flow, energy and mass transfer) as well as chemical and biological reactions, all of which are amenable to mathematical modelling using ordinary and partial differential equations. The objective of this project is to provide a foundation for mathematical and computational modelling of biosensors, through identifying analytical and numerical methods applicable to the study of electrochemical and optical biosensors, with a view to optimising their design process. The models will be relevant to ongoing experimental work in the National Centre for Sensor Research (NCSR) and the Biomedical Diagnostics Institute (BDI) at Dublin City University.