Analytical solution using computer algebra of a biosensor for detecting toxic substances in water

María Isabel Rúa Taborda

doi:10.1117/12.2061933

22 May 2014 Analytical solution using computer algebra of a biosensor for detecting toxic substances in water

María Isabel Rúa Taborda

Proceedings Volume 9106, Advanced Environmental, Chemical, and Biological Sensing Technologies XI; 91060R (2014) https://doi.org/10.1117/12.2061933
Event: SPIE Sensing Technology + Applications, 2014, Baltimore, MD, United States

Abstract

In a relatively recent paper an electrochemical biosensor for water toxicity detection based on a bio-chip as a whole cell was proposed and numerically solved and analyzed. In such paper the kinetic processes in a miniaturized electrochemical biosensor system was described using the equations for specific enzymatic reaction and the diffusion equation. The numerical solution shown excellent agreement with the measured data but such numerical solution is not enough to design efficiently the corresponding bio-chip. For this reason an analytical solution is demanded. The object of the present work is to provide such analytical solution and then to give algebraic guides to design the bio-sensor. The analytical solution is obtained using computer algebra software, specifically Maple. The method of solution is the Laplace transform, with Bromwich integral and residue theorem. The final solution is given as a series of Bessel functions and the effective time for the bio-sensor is computed. It is claimed that the analytical solutions that were obtained will be very useful to predict further current variations in similar systems with different geometries, materials and biological components. Beside of this the analytical solution that we provide is very useful to investigate the relationship between different chamber parameters such as cell radius and height; and electrode radius.

Citation Download Citation

María Isabel Rúa Taborda "Analytical solution using computer algebra of a biosensor for detecting toxic substances in water", Proc. SPIE 9106, Advanced Environmental, Chemical, and Biological Sensing Technologies XI, 91060R (22 May 2014); https://doi.org/10.1117/12.2061933

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available