Multiscale Modeling of Arterial Adaptations: Incorporating Molecular Mechanisms Within Continuum Biomechanical Models

Abstract

Continuum level biomechanical models of arterial adaptations are proving themselves vital both for understanding better the progression of disease and for improving the design of clinical interventions. Although these models are most appropriate to the clinical scale of observation, the underlying mechanisms responsible for such remodeling occur at the molecular scale. The goal of this chapter is to review a validated continuum level model of arterial adaptations and to suggest a straightforward approach to incorporate molecular level information within such models. In particular, it is shown that continuum mixture models reveal naturally a means to incorporate molecular information within fundamental constitutive relations within the continuum theory. There is, therefore, significant motivation to continue to formulate molecular level models that are necessary to inform models at scales that address the Physiome.

Keywords

Wall Shear Stress Constitutive Relation Soluble Constituent Linear Momentum Balance Arterial Adaptation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This work was supported, in part, via NIH grants HL-086418 and HL-105297.

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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of Biomedical EngineeringYale UniversityNew HavenUSA

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