Cart (Loading....) | Create Account
Close category search window
 

Optimal control of drug delivery to brain tumors for a test of PDE driven models using the Galerkin finite element method

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Chakrabarty, S.P. ; Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago 851 S Morgan St.: m/c 249, Chicago IL 60607-7045, USA, E-Mail: pratim@math.uic.edu ; Hanson, F.B.

The Galerkin finite element method is used to examine the a simple polar test case of optimal drug delivery to brain tumors. The PDE driven mathematical model is a system of three coupled reaction diffusion equations involving the tumor cells, the normal tissue and the drugh concentration. An optimal control problem is formualted keeping in mind the primary goals of the treatment, i.e., minimizing the tumor cell density and reducing the side effects of drugs. A distributed parameter method based on application of variational calculus to a pseudo-Hamiltonian, is used to obtain a coupled system of forward state equations and backward co-state equations. The Galerkin form of the finite element method is used due to its greater facility in numerically representing complex structures such as those in the brain. Finally, a two-dimensional circular disk test case is considered and partitioned into a set of rectangular finite elements in polar coordinates with bilinear basis functions on each element, except that triangular elements are used to accommodate the singular origin. Results show significant reduction of the tumor density over time.

Published in:

Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on

Date of Conference:

12-15 Dec. 2005

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.