Back to Search
Start Over
A multiscale model for heterogeneous tumor spheroid in vitro
- Source :
- Mathematical Biosciences and Engineering. 15:361-392
- Publication Year :
- 2017
- Publisher :
- American Institute of Mathematical Sciences (AIMS), 2017.
-
Abstract
- 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 μm 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.
- Subjects :
- 0301 basic medicine
Time Factors
Cell Survival
Quantitative Biology::Tissues and Organs
Tumor spheroid
Cell Culture Techniques
3d model
Models, Biological
Quantitative Biology::Cell Behavior
03 medical and health sciences
0302 clinical medicine
Cell Line, Tumor
Neoplasms
Spheroids, Cellular
Humans
Computer Simulation
Tumor growth
Cell survival
Cell Proliferation
Physics
Models, Statistical
Tumor size
Viscosity
Chemotaxis
Applied Mathematics
Spheroid
General Medicine
Ellipsoid
Elasticity
Computational Mathematics
030104 developmental biology
030220 oncology & carcinogenesis
Modeling and Simulation
Free variables and bound variables
Stress, Mechanical
General Agricultural and Biological Sciences
Biological system
Algorithms
Subjects
Details
- ISSN :
- 15510018
- Volume :
- 15
- Database :
- OpenAIRE
- Journal :
- Mathematical Biosciences and Engineering
- Accession number :
- edsair.doi.dedup.....353fff0d4e82f7234440ae84edc0e306