Modelling Tumor-induced Angiogenesis: Combination of Stochastic Sprout Spacing and Sprout Progression

Area of Science:

• Mathematical Biology
• Computational Oncology
• Biophysics

Background:

• Tumor growth relies on angiogenesis, the formation of new blood vessels.
• Cancerous cells initiate angiogenesis to improve oxygen and nutrient supply.

Purpose of the Study:

• To present a novel multiscale mathematical model for tumor angiogenesis.
• To simulate the development of vascular networks within tumors.

Main Methods:

• Coupling a stochastic sprout spacing model with ECM sprout progression model.
• Simulating capillary sprout siting using finite difference methods.
• Modeling endothelial cell motility, TAF consumption, and fibronectin dynamics in the ECM.

Main Results:

• The coupled model offers improved temporal accuracy for angiogenesis.
• The model demonstrates enhanced compatibility with real-world angiogenesis processes.

Conclusions:

• The model provides foundational data for angiogenesis research.
• Simulations can predict sprout characteristics and ECM vascularization during tumor angiogenesis.