A multiscale model for heterogeneous tumor spheroid in vitro
In this paper, a novel multiscale method is proposed for the study of heterogeneous tumor spheroid growth in vitro. The entire tumor spheroid is described by an ellipsoid-based model while nutrient and other environmental factors are treated as continua. The ellipsoid-based discrete component is cap...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2018-03-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2018016 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590046680580096 |
|---|---|
| author | Zhan Chen Yuting Zou |
| author_facet | Zhan Chen Yuting Zou |
| author_sort | Zhan Chen |
| collection | DOAJ |
| description | In this paper, a novel multiscale method is proposed for the study of heterogeneous tumor spheroid growth in vitro. The entire tumor spheroid is described by an ellipsoid-based model while nutrient and other environmental factors are treated as continua. The ellipsoid-based discrete component is capable of incorporating mechanical effects and deformability, while keeping a minimum set of free variables to describe complex shape variations. Moreover, our purely cell-based description of tumor avoids the complex mutual conversion between a cell-based model and continuum model within a tumor, such as force and mass transformation. This advantage makes it highly suitable for the study of tumor spheroids in vitro whose size are normally less than 800 $μ m$ in diameter. In addition, our numerical scheme provides two computational options depending on tumor size. For a small or medium tumor spheroid, a three-dimensional (3D) numerical model can be directly applied. For a large spheroid, we suggest the use of a 3D-adapted 2D cross section configuration, which has not yet been explored in the literature, as an alternative for the theoretical investigation to bridge the gap between the 2D and 3D models. Our model and its implementations have been validated and applied to various studies given in the paper. The simulation results fit corresponding in vitro experimental observations very well. |
| format | Article |
| id | doaj-art-58c5e916ff8141c4915647c26c1172ae |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2018-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-58c5e916ff8141c4915647c26c1172ae2025-01-24T02:40:44ZengAIMS PressMathematical Biosciences and Engineering1551-00182018-03-0115236139210.3934/mbe.2018016A multiscale model for heterogeneous tumor spheroid in vitroZhan Chen0Yuting Zou1Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA, 30460, USADepartment of Mathematical Sciences, Georgia Southern University, Statesboro, GA, 30460, USAIn this paper, a novel multiscale method is proposed for the study of heterogeneous tumor spheroid growth in vitro. The entire tumor spheroid is described by an ellipsoid-based model while nutrient and other environmental factors are treated as continua. The ellipsoid-based discrete component is capable of incorporating mechanical effects and deformability, while keeping a minimum set of free variables to describe complex shape variations. Moreover, our purely cell-based description of tumor avoids the complex mutual conversion between a cell-based model and continuum model within a tumor, such as force and mass transformation. This advantage makes it highly suitable for the study of tumor spheroids in vitro whose size are normally less than 800 $μ m$ in diameter. In addition, our numerical scheme provides two computational options depending on tumor size. For a small or medium tumor spheroid, a three-dimensional (3D) numerical model can be directly applied. For a large spheroid, we suggest the use of a 3D-adapted 2D cross section configuration, which has not yet been explored in the literature, as an alternative for the theoretical investigation to bridge the gap between the 2D and 3D models. Our model and its implementations have been validated and applied to various studies given in the paper. The simulation results fit corresponding in vitro experimental observations very well.https://www.aimspress.com/article/doi/10.3934/mbe.2018016multiscale3dheterogeneoustumor growthcell sorting |
| spellingShingle | Zhan Chen Yuting Zou A multiscale model for heterogeneous tumor spheroid in vitro Mathematical Biosciences and Engineering multiscale 3d heterogeneous tumor growth cell sorting |
| title | A multiscale model for heterogeneous tumor spheroid in vitro |
| title_full | A multiscale model for heterogeneous tumor spheroid in vitro |
| title_fullStr | A multiscale model for heterogeneous tumor spheroid in vitro |
| title_full_unstemmed | A multiscale model for heterogeneous tumor spheroid in vitro |
| title_short | A multiscale model for heterogeneous tumor spheroid in vitro |
| title_sort | multiscale model for heterogeneous tumor spheroid in vitro |
| topic | multiscale 3d heterogeneous tumor growth cell sorting |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2018016 |
| work_keys_str_mv | AT zhanchen amultiscalemodelforheterogeneoustumorspheroidinvitro AT yutingzou amultiscalemodelforheterogeneoustumorspheroidinvitro AT zhanchen multiscalemodelforheterogeneoustumorspheroidinvitro AT yutingzou multiscalemodelforheterogeneoustumorspheroidinvitro |