Fractional modelling of Pennes' bioheat equation using distributed order differential equations

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this work we provide a new mathematical model for the Pennes' bioheat equation, assuming a fractional time derivative of distributed order. Different versions of the bioheat equation are considered, that take into account the temperature-dependent variability in the tissue perfusion, and that comprise both nite and in nite speed propagation of heat signals. The bioheat proposed model is solved numerically using an implicit difference method. Different weight functions for the order of integration are used and tested, aiming to optimize the numerical approach. The results obtained with the distributed order fractional model, are compared with the original models that use classical (integer order) derivatives and with the fractional bioheat model (without distributed order).
Original languageUnknown
Title of host publicationProceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE
Pages507-518
Publication statusPublished - 1 Jan 2014
Event14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE -
Duration: 1 Jan 2014 → …

Conference

Conference14th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE
Period1/01/14 → …

Cite this