Optimality in the developing vascular system: branching remodeling by means of intussusception as an efficient...

The theory of bifurcating vascular systems predicts vessel diameters that are related to optimality criteria like minimization of pumping energy or of building material. However, mechanisms for producing the postulated optimality have not been described so far, and quantitative data on bifurcation diameters during development are scarce. We used an embryonic vascular bed that rapidly grows and adapts to changing hemodynamic conditions, the chicken chorioallantoic membrane (CAM), and correlated vascular cast and tissue section morphology with in vivo time-lapse video monitoring. The bifurcation exponent delta and associated parameters were quantitatively assessed in arterial and venous microvessels ranging in diameter from 30 to 100 microm. We observed emergence of optimality by means of intussusception, i.e., formation of transvascular tissue pillars. In addition to intussusceptive microvascular growth (IMG = expansion of capillary networks) and intussusceptive arborization (IAR = formation of feeding vessels from capillaries) the observed intussusception at bifurcations represents a third variant of nonsprouting angiogenesis. We call it intussusceptive branching remodeling (IBR). IBR occurred in vessels of considerable diameter by means of two alternative mechanisms: either through pillars arising close to a bifurcation, which increased in girth until they merged with the connective tissue in the bifurcation angle; or through pillars arising at some distance from the bifurcation point, which then expanded by formation of ingrowing tissue folds until they became connected to the tissue of the bifurcation angle. Morphologic evidence suggests that IBR is a wide-spread phenomenon, taking place also in lung, intestinal, kidney, eye, etc., vasculature. Irrespective of the mode followed, IBR led to a branching pattern close to the predicted optimum, delta = 3.0. Significant differences were observed between delta at arterial bifurcations (2.70 to 2.90) and delta at venous bifurcations (2.93 to 3.75). IBR, by means of eccentric pillar formation and fusion, was also involved in vascular pruning. Experimental changes in CAM hemodynamics (by locally increasing blood flow) induced onset of IBR within less than 1 hr. Our study provides morphologic and quantitative evidence that a similar cellular machinery is used for all three variants of vascular intussusception, IMG, IAR, and IBR. It thus provides a mechanism of efficiently generating complex blood transport systems from limited genetic information. Differential quantitative outcome of IBR in arteries and veins, and the experimental induction of IBR strongly suggest that hemodynamic factors can instruct embryonic vascular remodeling toward optimality.