About this paper

Appears in:
Pages: 3594-3600
Publication year: 2017
ISBN: 978-84-697-6957-7
ISSN: 2340-1095
doi: 10.21125/iceri.2017.0977

Conference name: 10th annual International Conference of Education, Research and Innovation
Dates: 16-18 November, 2017
Location: Seville, Spain

MODELLING GLIOMAS USING THE REACTION-DIFFUSION EQUATION

E. Alberdi Celaya, J. Muñoz Matute

The University of the Basque Country (SPAIN)
One of the subjects taught in many engineering degrees is the subject called Modelling, in which students learn how to model a problem mathematically and how to solve it using mathematical software. Some problems are modelled using Partial Differential Equations (PDEs), which is a relation that involves an unknown function of several independent variables and its partial derivatives with respect to those variables. Problems such as the heat transfer or the vibrating string are two typical problems modelled in engineering courses using PDEs. Different problems may have similar mathematical formulations. In this work we will see how the diffusion-reaction model can be used not only to calculate the temperature distribution in materials but also to simulate the glioma expansion. Gliomas are tumours that constitute more than 50% of all brain cancers. According to the latest advances, the diffusion-reaction equation can be used to simulate their expansion.
@InProceedings{ALBERDICELAYA2017MOD2,
author = {Alberdi Celaya, E. and Mu{\~n}oz Matute, J.},
title = {MODELLING GLIOMAS USING THE REACTION-DIFFUSION EQUATION},
series = {10th annual International Conference of Education, Research and Innovation},
booktitle = {ICERI2017 Proceedings},
isbn = {978-84-697-6957-7},
issn = {2340-1095},
doi = {10.21125/iceri.2017.0977},
url = {http://dx.doi.org/10.21125/iceri.2017.0977},
publisher = {IATED},
location = {Seville, Spain},
month = {16-18 November, 2017},
year = {2017},
pages = {3594-3600}}
TY - CONF
AU - E. Alberdi Celaya AU - J. Muñoz Matute
TI - MODELLING GLIOMAS USING THE REACTION-DIFFUSION EQUATION
SN - 978-84-697-6957-7/2340-1095
DO - 10.21125/iceri.2017.0977
PY - 2017
Y1 - 16-18 November, 2017
CI - Seville, Spain
JO - 10th annual International Conference of Education, Research and Innovation
JA - ICERI2017 Proceedings
SP - 3594
EP - 3600
ER -
E. Alberdi Celaya, J. Muñoz Matute (2017) MODELLING GLIOMAS USING THE REACTION-DIFFUSION EQUATION, ICERI2017 Proceedings, pp. 3594-3600.
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