A multiscale model for glioma spread including cell-tissue interactions and proliferation
Glioma is a broad class of brain and spinal cord tumors arising from glia cells, which are the main brain cells that can develop into neoplasms.They are highly invasive and lead to irregular tumor margins which are not precisely identifiable by medical imaging, thus rendering a precise enough resect...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2015-12-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015011 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590103026860032 |
|---|---|
| author | Christian Engwer Markus Knappitsch Christina Surulescu |
| author_facet | Christian Engwer Markus Knappitsch Christina Surulescu |
| author_sort | Christian Engwer |
| collection | DOAJ |
| description | Glioma is a broad class of brain and spinal cord tumors arising from glia cells, which are the main brain cells that can develop into neoplasms.They are highly invasive and lead to irregular tumor margins which are not precisely identifiable by medical imaging, thus rendering a precise enough resection very difficult.The understanding of glioma spread patterns is hence essential for both radiological therapy as well as surgical treatment.In this paper we propose a multiscale model for glioma growth including interactions of the cells with the underlying tissuenetwork, along with proliferative effects. Our current accounting for two subpopulations of cells to accomodate proliferation according to the go-or-grow dichtomotyis an extension of the setting in [16].As in that paper, we assume that cancer cells use neuronal fiber tracts as invasive pathways. Hence, the individualstructure of brain tissue seems to be decisive for the tumor spread. Diffusion tensor imaging (DTI) is able to provide suchinformation, thus opening the way for patient specificmodeling of glioma invasion. Starting from a multiscale model involving subcellular (microscopic) and individual (mesoscale)cell dynamics, we perform a parabolic scaling to obtain an approximating reaction-diffusion-transport equation on themacroscale of the tumor cell population. Numerical simulations based on DTI data are carried out in order to assess theperformance of our modeling approach. |
| format | Article |
| id | doaj-art-24c5d9b81f744df0abd4d112bbc0e350 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2015-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-24c5d9b81f744df0abd4d112bbc0e3502025-01-24T02:35:05ZengAIMS PressMathematical Biosciences and Engineering1551-00182015-12-0113244346010.3934/mbe.2015011A multiscale model for glioma spread including cell-tissue interactions and proliferationChristian Engwer0Markus Knappitsch1Christina Surulescu2WWU Münster, Institute for Computational und Applied Mathematics and Cluster of Excellence EXC 1003, Cells in Motion, Orleans-Ring 10, 48149 MünsterWWU Münster, Institute for Computational und Applied Mathematics and Cluster of Excellence EXC 1003, Cells in Motion, Orleans-Ring 10, 48149 MünsterTechnische Universität Kaiserslautern, Felix-Klein-Zentrum für Mathematik, Paul-Ehrlich-Str. 31, 67663 KaiserslauternGlioma is a broad class of brain and spinal cord tumors arising from glia cells, which are the main brain cells that can develop into neoplasms.They are highly invasive and lead to irregular tumor margins which are not precisely identifiable by medical imaging, thus rendering a precise enough resection very difficult.The understanding of glioma spread patterns is hence essential for both radiological therapy as well as surgical treatment.In this paper we propose a multiscale model for glioma growth including interactions of the cells with the underlying tissuenetwork, along with proliferative effects. Our current accounting for two subpopulations of cells to accomodate proliferation according to the go-or-grow dichtomotyis an extension of the setting in [16].As in that paper, we assume that cancer cells use neuronal fiber tracts as invasive pathways. Hence, the individualstructure of brain tissue seems to be decisive for the tumor spread. Diffusion tensor imaging (DTI) is able to provide suchinformation, thus opening the way for patient specificmodeling of glioma invasion. Starting from a multiscale model involving subcellular (microscopic) and individual (mesoscale)cell dynamics, we perform a parabolic scaling to obtain an approximating reaction-diffusion-transport equation on themacroscale of the tumor cell population. Numerical simulations based on DTI data are carried out in order to assess theperformance of our modeling approach.https://www.aimspress.com/article/doi/10.3934/mbe.2015011diffusiontensor imagingmultiscale modelmacrosccopic scalingreaction-diffusion-transport equations.kinetic transport equationsglioma invasion |
| spellingShingle | Christian Engwer Markus Knappitsch Christina Surulescu A multiscale model for glioma spread including cell-tissue interactions and proliferation Mathematical Biosciences and Engineering diffusiontensor imaging multiscale model macrosccopic scaling reaction-diffusion-transport equations. kinetic transport equations glioma invasion |
| title | A multiscale model for glioma spread including cell-tissue interactions and proliferation |
| title_full | A multiscale model for glioma spread including cell-tissue interactions and proliferation |
| title_fullStr | A multiscale model for glioma spread including cell-tissue interactions and proliferation |
| title_full_unstemmed | A multiscale model for glioma spread including cell-tissue interactions and proliferation |
| title_short | A multiscale model for glioma spread including cell-tissue interactions and proliferation |
| title_sort | multiscale model for glioma spread including cell tissue interactions and proliferation |
| topic | diffusiontensor imaging multiscale model macrosccopic scaling reaction-diffusion-transport equations. kinetic transport equations glioma invasion |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015011 |
| work_keys_str_mv | AT christianengwer amultiscalemodelforgliomaspreadincludingcelltissueinteractionsandproliferation AT markusknappitsch amultiscalemodelforgliomaspreadincludingcelltissueinteractionsandproliferation AT christinasurulescu amultiscalemodelforgliomaspreadincludingcelltissueinteractionsandproliferation AT christianengwer multiscalemodelforgliomaspreadincludingcelltissueinteractionsandproliferation AT markusknappitsch multiscalemodelforgliomaspreadincludingcelltissueinteractionsandproliferation AT christinasurulescu multiscalemodelforgliomaspreadincludingcelltissueinteractionsandproliferation |