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Designing Automated, High-throughput, Continuous Cell Growth Experiments Using eVOLVER
Published on: May 19, 2019
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Tumor growth and calcification in evolving microenvironmental geometries
1Department of Mathematics, Duke University, Durham, USA.
Journal of Theoretical Biology
|December 12, 2018
Summary
A deformable basement membrane (BM) enhances tumor growth and calcification in ductal carcinoma in situ (DCIS). Tumor extents correlate linearly or quadratically with BM properties and duct size, impacting surgical margin assessment and radiotherapy targeting.
Area of Science:
- Mathematical Biology
- Computational Biology
- Biophysics
Background:
- Ductal carcinoma in situ (DCIS) growth is influenced by the tumor microenvironment.
- The basement membrane (BM) plays a crucial role in tumor progression and geometry.
- Understanding BM deformability is key to modeling tumor behavior in confined spaces.
Purpose of the Study:
- To investigate the impact of a deformable basement membrane (BM) on tumor growth within ductal geometries.
- To analyze tumor calcification and extent using a continuum model.
- To develop an efficient computational method for solving the governing equations.
Main Methods:
- Application of the diffuse domain framework.
- Development of a stable nonlinear multigrid finite difference method for efficient computation.
- Two-dimensional simulations varying cell-BM adhesion, duct radius, and membrane stiffness.
Main Results:
- Enhanced BM deformability promotes tumor growth and calcification.
- Linear correlation between mammographic and pathologic tumor extents observed under specific conditions (small duct radius, weak adhesion, slight deformation).
- Quadratic correlation predicted under different conditions (large duct radius, strong adhesion, high deformation).
Conclusions:
- BM deformability significantly influences DCIS growth patterns and calcification.
- The study provides insights into the relationship between tumor extents under varying biophysical conditions.
- Findings can aid in surgical margin assessment and radiotherapy targeting for DCIS treatment.
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