A Fully Discrete Open Source Framework for the Simulation of Vascular Remodelling.

Area of Science:

• Computational biology
• Biomedical engineering
• Vascular biology

Background:

• Understanding the interplay between haemodynamics and vascular biology is crucial for addressing cardiovascular diseases.
• Vascular remodelling, a key process in many pathologies, is significantly influenced by hemodynamic forces.

Purpose of the Study:

• To present a novel computational framework for studying haemodynamics and vessel biology interactions.
• To apply this framework to investigate vascular remodelling processes.
• To provide a validated tool for theoretical analysis in vascular research.

Main Methods:

• Development of a novel mathematical formulation for the computational framework.
• Numerical method validation against an analytical solution for a simplified vascular model.
• Application of the framework in a case study simulating tissue remodelling in response to blood flow.

Main Results:

• Successful development and validation of a computational framework for haemodynamics-vessel biology interaction.
• Demonstration of the framework's capability to simulate tissue remodelling.
• Insights into the relationship between hemodynamic stimuli and vascular structural adaptation.

Conclusions:

• The novel computational framework offers a powerful tool for theoretical studies in vascular biology.
• This approach facilitates a deeper understanding of vascular remodelling mechanisms.
• The validated model can be applied to various research questions in cardiovascular science.