Mathematical models of developmental vascular remodelling: A review

Area of Science:

• * Mathematical Biology
• * Developmental Biology
• * Systems Biology

Background:

• * Focus on mathematical models of angiogenesis has overshadowed developmental vascular remodeling.
• * Sprouting angiogenesis creates a primitive network; remodeling refines it into a functional vasculature.
• * Defective remodeling is linked to various diseases.

Purpose of the Study:

• * To review existing mathematical models of developmental vascular remodeling.
• * To explore their contributions to understanding vascular development.
• * To identify challenges and future directions in this field.

Main Methods:

• * Review of existing literature on mathematical models of developmental vascular remodeling.
• * Analysis of model contributions to vascular development research.
• * Identification of current modeling paradigms and challenges.

Main Results:

• * Mathematical models effectively investigate and predict vascular development.
• * Models can reproduce experimental results and generate hypotheses.
• * Models explain mechanisms driving structural and functional network development.

Conclusions:

• * Mathematical modeling is a powerful tool for studying developmental vascular remodeling.
• * This field is relatively new, with many unanswered biological questions.
• * Further development of modeling paradigms is needed to address these challenges.