Abstract
The enormous microscopic complexity of the multicomponent brain-tissue aggregate motivates the application of the well-known Theory of Porous Media (TPM). Basically, a quaternary TPM-model is applied to brain tissue, cf. Ehlers and Wagner, Comput Method Biomech Biomed Eng 18:861–879 (2015), [1]. Besides the model’s broad range of application, such as the simulation of brain-tumour treatment, we focus in this article on a specific anatomical property of the brain-tissue aggregate. Namely, its separated pore space which is concurrently perfused by two pore liquids. These are the blood in the blood-vessel system and the interstitial fluid in the interstitial-fluid space. In this regard, the constitutive formulation of evolving liquid saturations under certain loading conditions needs to be found. In order to microscopically underlay and motivate such a macroscopic constitutive relation within a thermodynamically consistent TPM approach, a microscopic study of the interaction between the pore compartments is performed and discussed in terms of scale-bridging aspects.
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Acknowledgements
The authors would like to thank the German Research Foundation (DFG) for the financial support of the project within the Cluster of Excellence in Simulation Technology (EXC 310/2) at the University of Stuttgart.
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Ehlers, W., Wagner, A. (2018). Multiscale Aspects in the Multiphasic Modelling of Human Brain Tissue. In: Wriggers, P., Lenarz, T. (eds) Biomedical Technology. Lecture Notes in Applied and Computational Mechanics, vol 84. Springer, Cham. https://doi.org/10.1007/978-3-319-59548-1_1
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