A Current Perspective on Wound Healing and Tumour-Induced Angiogenesis

Area of Science:

• Physiology
• Biomedical Engineering
• Mathematical Biology

Background:

• Angiogenesis, or capillary growth, is vital in wound healing and pathological in tumor growth, posing global health challenges.
• Mathematical modeling is crucial for understanding the complex interactions in angiogenesis.
• Similarities exist between tumor-induced and wound healing angiogenesis.

Purpose of the Study:

• To review the contributions of mathematical models to understanding angiogenesis in wound healing and tumor growth.
• To highlight how insights from one field have advanced the other.
• To identify open problems addressable by combined theoretical and experimental approaches.

Main Methods:

• Review of mathematical modeling studies on angiogenesis.
• Comparative analysis of models for wound healing and tumor growth.
• Identification of interdisciplinary research opportunities.

Main Results:

• Mathematical models have significantly elucidated the mechanisms of angiogenesis in both physiological and pathological contexts.
• Cross-pollination of ideas between wound healing and tumor growth modeling has spurred advancements.
• Identified common principles governing angiogenesis in distinct biological processes.

Conclusions:

• Mathematical modeling is a powerful tool for dissecting complex biological processes like angiogenesis.
• Further integration of theoretical and experimental approaches is needed to address remaining challenges in angiogenesis research.
• Understanding angiogenesis through modeling can lead to novel therapeutic strategies for wound healing and cancer.