A level-set approach for a multi-scale cancer invasion model
Central to the quest for a deeper understanding of the cancer growth and spread process, the naturally multiscale character of cancer invasion demands appropriate multiscale modelling and analysis approach. The cross-talk between the tissue scale (macro-scale) cancer cell population dynamics and the...
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Main Authors | , , , |
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Format | Journal Article |
Language | English |
Published |
18.05.2018
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Subjects | |
Online Access | Get full text |
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Summary: | Central to the quest for a deeper understanding of the cancer growth and
spread process, the naturally multiscale character of cancer invasion demands
appropriate multiscale modelling and analysis approach. The cross-talk between
the tissue scale (macro-scale) cancer cell population dynamics and the
cell-scale (micro-scale) proteolytic molecular processes along the tumour
boundary plays a particularly important role within the invasion processes,
leading to dramatic changes in tumour morphology and influencing the overall
pattern of cancer spread.
Building on the multiscale moving boundary framework proposed in Trucu et al.
(Multiscale Model. Simul 11(1): 309-335), in this work we propose a new
formulation of this process involving a novel derivation of the macro-scale
boundary movement law based on micro-dynamics, involving a transport equation
combined with the level-set method. This is explored numerically in a novel
finite element macro-micro framework based on cut-cells. |
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DOI: | 10.48550/arxiv.1805.07485 |