Spatiotemporal dynamics of the biological interface between cancer and the microenvironment: A fractal anomalous diffusion model with microenvironment plasticity

Feng-Chou Tsai, Mei Chuan Wang, Jeng Fan Lo, Chih Ming Chou, Yi Lu Lin

研究成果: 雜誌貢獻文章

3 引文 (Scopus)

摘要

Background: The invasion-metastasis cascade of cancer involves a process of parallel progression. A biological interface (module) in which cells is linked with ECM (extracellular matrix) by CAMs (cell adhesion molecules) has been proposed as a tool for tracing cancer spatiotemporal dynamics. Methods: A mathematical model was established to simulate cancer cell migration. Human uterine leiomyoma specimens, in vitro cell migration assay, quantitative realtime PCR, western blotting, dynamic viscosity, and an in vivo C57BL6 mouse model were used to verify the predictive findings of our model. Results: The return to origin probability (RTOP) and its related CAM expression ratio in tumors, so-called "tumor self-seeding", gradually decreased with increased tumor size, and approached the 3D Pólya random walk constant (0.340537) in a periodic structure. The biphasic pattern of cancer cell migration revealed that cancer cells initially grew together and subsequently began spreading. A higher viscosity of fillers applied to the cancer surface was associated with a significantly greater inhibitory effect on cancer migration, in accordance with the Stokes-Einstein equation. Conclusion: The positional probability and cell-CAM-ECM interface (module) in the fractal framework helped us decipher cancer spatiotemporal dynamics; in addition we modeled the methods of cancer control by manipulating the microenvironment plasticity or inhibiting the CAM expression to the Pólya random walk, Pólya constant.
原文英語
文章編號36
期刊Theoretical Biology and Medical Modelling
9
發行號1
DOIs
出版狀態已發佈 - 2012

指紋

Fractals
Tumor Microenvironment
Anomalous Diffusion
Cell adhesion
Diffusion Model
Plasticity
Fractal
Cancer
Tumors
Adhesion Molecules
Molecules
Cell Adhesion
Cells
Cell Migration
Neoplasms
Cell Adhesion Molecules
Viscosity
Tumor
Periodic structures
Fillers

ASJC Scopus subject areas

  • Health Informatics
  • Modelling and Simulation
  • Medicine(all)

引用此文

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title = "Spatiotemporal dynamics of the biological interface between cancer and the microenvironment: A fractal anomalous diffusion model with microenvironment plasticity",
abstract = "Background: The invasion-metastasis cascade of cancer involves a process of parallel progression. A biological interface (module) in which cells is linked with ECM (extracellular matrix) by CAMs (cell adhesion molecules) has been proposed as a tool for tracing cancer spatiotemporal dynamics. Methods: A mathematical model was established to simulate cancer cell migration. Human uterine leiomyoma specimens, in vitro cell migration assay, quantitative realtime PCR, western blotting, dynamic viscosity, and an in vivo C57BL6 mouse model were used to verify the predictive findings of our model. Results: The return to origin probability (RTOP) and its related CAM expression ratio in tumors, so-called {"}tumor self-seeding{"}, gradually decreased with increased tumor size, and approached the 3D P{\'o}lya random walk constant (0.340537) in a periodic structure. The biphasic pattern of cancer cell migration revealed that cancer cells initially grew together and subsequently began spreading. A higher viscosity of fillers applied to the cancer surface was associated with a significantly greater inhibitory effect on cancer migration, in accordance with the Stokes-Einstein equation. Conclusion: The positional probability and cell-CAM-ECM interface (module) in the fractal framework helped us decipher cancer spatiotemporal dynamics; in addition we modeled the methods of cancer control by manipulating the microenvironment plasticity or inhibiting the CAM expression to the P{\'o}lya random walk, P{\'o}lya constant.",
keywords = "Anomalous diffusion, Cancer, Integrins, Metastasis, P{\'a}lya constant, Probability, Random walk, Tumor self-seeding",
author = "Feng-Chou Tsai and Wang, {Mei Chuan} and Lo, {Jeng Fan} and Chou, {Chih Ming} and Lin, {Yi Lu}",
year = "2012",
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T1 - Spatiotemporal dynamics of the biological interface between cancer and the microenvironment

T2 - A fractal anomalous diffusion model with microenvironment plasticity

AU - Tsai, Feng-Chou

AU - Wang, Mei Chuan

AU - Lo, Jeng Fan

AU - Chou, Chih Ming

AU - Lin, Yi Lu

PY - 2012

Y1 - 2012

N2 - Background: The invasion-metastasis cascade of cancer involves a process of parallel progression. A biological interface (module) in which cells is linked with ECM (extracellular matrix) by CAMs (cell adhesion molecules) has been proposed as a tool for tracing cancer spatiotemporal dynamics. Methods: A mathematical model was established to simulate cancer cell migration. Human uterine leiomyoma specimens, in vitro cell migration assay, quantitative realtime PCR, western blotting, dynamic viscosity, and an in vivo C57BL6 mouse model were used to verify the predictive findings of our model. Results: The return to origin probability (RTOP) and its related CAM expression ratio in tumors, so-called "tumor self-seeding", gradually decreased with increased tumor size, and approached the 3D Pólya random walk constant (0.340537) in a periodic structure. The biphasic pattern of cancer cell migration revealed that cancer cells initially grew together and subsequently began spreading. A higher viscosity of fillers applied to the cancer surface was associated with a significantly greater inhibitory effect on cancer migration, in accordance with the Stokes-Einstein equation. Conclusion: The positional probability and cell-CAM-ECM interface (module) in the fractal framework helped us decipher cancer spatiotemporal dynamics; in addition we modeled the methods of cancer control by manipulating the microenvironment plasticity or inhibiting the CAM expression to the Pólya random walk, Pólya constant.

AB - Background: The invasion-metastasis cascade of cancer involves a process of parallel progression. A biological interface (module) in which cells is linked with ECM (extracellular matrix) by CAMs (cell adhesion molecules) has been proposed as a tool for tracing cancer spatiotemporal dynamics. Methods: A mathematical model was established to simulate cancer cell migration. Human uterine leiomyoma specimens, in vitro cell migration assay, quantitative realtime PCR, western blotting, dynamic viscosity, and an in vivo C57BL6 mouse model were used to verify the predictive findings of our model. Results: The return to origin probability (RTOP) and its related CAM expression ratio in tumors, so-called "tumor self-seeding", gradually decreased with increased tumor size, and approached the 3D Pólya random walk constant (0.340537) in a periodic structure. The biphasic pattern of cancer cell migration revealed that cancer cells initially grew together and subsequently began spreading. A higher viscosity of fillers applied to the cancer surface was associated with a significantly greater inhibitory effect on cancer migration, in accordance with the Stokes-Einstein equation. Conclusion: The positional probability and cell-CAM-ECM interface (module) in the fractal framework helped us decipher cancer spatiotemporal dynamics; in addition we modeled the methods of cancer control by manipulating the microenvironment plasticity or inhibiting the CAM expression to the Pólya random walk, Pólya constant.

KW - Anomalous diffusion

KW - Cancer

KW - Integrins

KW - Metastasis

KW - Pálya constant

KW - Probability

KW - Random walk

KW - Tumor self-seeding

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