Biomechanical Constitutive Models, From The Atomistic Approach, For Blood Vessels

Objective: To present an analysis of the most relevant biomechanical atomistic constitutive models of blood vessels, which will serve as a basis for future proposals for modeling deformation phenomena in veins and arteries. Theoretical Framework: Myocardial ischemia is a disease that alters the mechanical response of blood vessel walls. Predicting the mechanical behavior of blood vessels based on the physiological state using biomechanical models is vital for diagnosis. Therefore, an analysis of biomechanical atomistic constitutive models is performed. Method: The bibliographic review method was used to identify, evaluate and synthesize the existing scientific evidence on the topic of atomistic modeling of blood vessels. Results and Discussion: A bibliographic study is presented, which highlights the benefits, limitations and potential of the following models: atomistic-continuous model of collagen mechanical properties, concurrent atomistic continuum for crystalline materials and multiscale hierarchical model based on atomistic and molecular simulation. Implications of the research: The considerations presented serve as a basis for future research and mathematical modeling of the phenomenon of degradation and deformation of blood vessels, setting the guidelines for the future, suggesting alternative treatment strategies to combat clinical conditions derived from the transformations of the mechanical properties of the same. Originality/Value: This study contributes by giving order to the multiple bibliographic information related to the subject. The relevance of this research is evidenced in the conclusions issued by analyzing the atomistic-continuous, concurrent-continuous and multiscale hierarchical models.