A constrained mixture model for developing mouse aorta |
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Authors: | Wagenseil Jessica E |
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Institution: | (1) Department of Biomedical Engineering, 337 Zachry Engineering Center, Texas A&M University, College Station, TX 77843-3120, USA;; |
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Abstract: | Mechanical stresses influence the structure and function of adult and developing blood vessels. When these stresses are perturbed,
the vessel wall remodels to return the stresses to homeostatic levels. Constrained mixture models have been used to predict
remodeling of adult vessels in response to step changes in blood pressure, axial length and blood flow, but have not yet been
applied to developing vessels. Models of developing blood vessels are complicated by continuous and simultaneous changes in
the mechanical forces. Understanding developmental growth and remodeling is important for treating human diseases and designing
tissue-engineered blood vessels. This study presents a constrained mixture model for postnatal development of mouse aorta
with multiple step increases in pressure, length and flow. The baseline model assumes that smooth muscle cells (SMCs) in the
vessel wall immediately constrict or dilate the inner radius after a perturbation to maintain the shear stress and then remodel
the wall thickness to maintain the circumferential stress. The elastin, collagen and SMCs have homeostatic stretch ratios
and passive material constants that do not change with developmental age. The baseline model does not predict previously published
experimental data. To approximate the experimental data, it must be assumed that the SMCs dilate a constant amount, regardless
of the step change in mechanical forces. It must also be assumed that the homeostatic stretch ratios and passive material
constants change with age. With these alterations, the model approximates experimental data on the mechanical properties and
dimensions of aorta from 3- to 30-day-old mice. |
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