FIG. 6.

Evolving in vivo configurations of a bilayered arterial wall from time s = 0 (original homeostatic reference configuration κ(0) ≡ κ_o) to an arbitrary time s > 0 [current configuration κ(s)], showing the different deformation gradients F_M and F_A experienced by the medial and adventitial layers over time, in particular at times 0 ≤ τ ≤ s. Shown, also, are the different natural configurations ${\kappa }_{n(\tau )}^{\alpha }$ for the different structurally significant constituents α (elastin “e,” smooth muscle “m,” and collagen “c”), which are deposited with separate but constant deposition stretches G^α within both layers at the indicated deposition times τ (except for the smooth muscle, present in media only), as well as geometric parameters a (luminal radius), h_M (medial thickness), and h_A (adventitial thickness) and luminal pressure P, which can also change over time.