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Towards the continuum‐mechanical modelling of metastatic tumour growth in the brain
Author(s) -
Schröder Patrick,
Wagner Arndt,
Ehlers Wolfgang
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510044
Subject(s) - brain tissue , infiltration (hvac) , growth theory , neuroscience , sprouting , medicine , biomedical engineering , materials science , biology , composite material , botany , neoclassical economics , economics
The growth of metastases in the brain increases the state of stress, create leaky blood vessels and disrupt regular brain cells. Essential steps during the development of metastases are the infiltration of the tissue, the nutrient‐dependent growth and the stimulation of blood‐vessel sprouting. A promising medical treatment can be obtained by the direct infusion of a therapeutic solution into the tissue. Besides experiments, computational models can improve the understanding of brain metastases. In this regard, the liquid‐saturated brain tissue represents a porous material. Therefore, the framework of the Theory of Porous Media (TPM) provides an excellent tool for its description. The continuum‐mechanical theory of a multi‐constituent model and mechanisms of metastases growth are presented in this contribution. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)