Morphometry and mathematical modelling of the capillary-like patterns formed in vitro by bone marrow macrophages of patients with multiple myeloma

Investigating in vitro angiogenesis by computer-assisted image analysis and computational simulation

In vitro assays that stimulate the formation of capillary-like structures by EC have become increasingly popular, because they allow the study of the EC's intrinsic ability to self-organize to form vascular-like patterns. Here we describe a widely applied protocol involving the use of basement membrane matrix (Matrigel) as a suitable environment to induce an angiogenic phenotype in cultured EC. EC differentiation on basement membrane matrix is a highly specific process, which recapitulates many steps in blood vessel formation and for this reason it is presently considered as a reliable in vitro tool to identify factors with potential antiangiogenic or pro-angiogenic properties. The morphological features of the obtained cell patterns can also be accurately quantified by computer-assisted image analysis and the main steps of such a procedure will be here outlined and discussed. The dynamics of in vitro EC self-organization is a complex biological process, involving a network of interactions between a high number of cells. For this reason, the combined use of in vitro experiments and computational modeling can represent a key approach to unravel how mechanical and chemical signaling by EC coordinates their organization into capillary-like tubes. Thus, a particularly helpful approach to modeling is also briefly described together with examples of its application.

Cell-oriented modeling of angiogenesis

Due to its significant involvement in various physiological and pathological conditions, angiogenesis (the development of new blood vessels from an existing vasculature) represents an important area of the actual biological research and a field in which mathematical modeling proved particularly useful in supporting the experimental work. In this paper, we focus on a specific modeling strategy, known as "cell-centered" approach. This type of mathematical models work at a "mesoscopic scale," assuming the cell as the natural level of abstraction for computational modeling of development. They treat cells phenomenologically, considering their essential behaviors to study how tissue structure and organization emerge from the collective dynamics of multiple cells. The main contributions of the cell-oriented approach to the study of the angiogenic process will be described. From one side, they have generated "basic science understanding" about the process of capillary assembly during development, growth, and pathology. On the other side, models were also developed supporting "applied biomedical research" for the purpose of identifying new therapeutic targets and clinically relevant approaches for either inhibiting or stimulating angiogenesis.

Mathematical modeling of the capillary-like pattern generated by adrenomedullin-treated human vascular endothelial cells in vitro

A recently proposed approach was used to model the self-organization into capillary-like structures of human vascular endothelial cells cultured on Matrigel. The model combines a Cellular Potts Model, considering cell adhesion, cytoskeletal rearrangement and chemotaxis, and a Partial Differential Equation model describing the release and the diffusion of a chemoattractant. The results were compared with the data from real in vitro experiments to establish the capability of the model to accurately reproduce both the spontaneous self-assembly of unstimulated cells and their self-organization in the presence of the pro-angiogenic factor adrenomedullin. The results showed that the model can accurately reproduce the self-assembly of unstimulated cells, but it failed in reproducing the adrenomedullin-induced self-organization of the cells. The extension of the model to include cell proliferation led to a good match between simulated and experimental patterns in both cases with predicted proliferation rates in agreement with the data of cell proliferation experiments.

Pro-angiogenic activity of Urotensin-II on different human vascular endothelial cell populations

Urotensin-II (U-II), along its receptor UT, is widely expressed in the cardiovascular system, where it exerts regulatory actions under both physiological and pathological conditions. In the present study, human vascular endothelial cells (EC) from one arterious and three venous vascular beds were used to investigate in vitro their heterogeneity in terms of expression of U-II and UT and of angiogenic response to the peptide. Real-time PCR and immunocytochemistry demonstrated the expression of UT, as mRNA and protein, in all the EC populations investigated. U-II, on the contrary, was detectable only in EC from aorta and umbilical vein. U-II did not affect the proliferation rate of adult human EC, but induced a moderate proliferative effect on EC from human umbilical vein. When tested in the Matrigel assay, however, all EC exhibited a strong angiogenic response to the peptide, comparable to that of fibroblast growth factor-2 (FGF-2) and it was not associated to an increased expression of vascular endothelial growth factor (VEGF) and/or its receptors. The angiogenic effect of U-II was abolished by the UT antagonist palosuran. Overall, these data suggest that U-II, in addition to the well known role in the regulation of cardiovascular function, also exert a specific angiogenic activity.

Adrenomedullin stimulates angiogenic response in cultured human vascular endothelial cells: involvement of the vascular endothelial growth factor receptor 2

In recent years, evidence has accumulated that many endogenous peptides play an important regulatory role in angiogenesis by modulating endothelial cell behavior. Adrenomedullin (AM), one such factor, was previously shown to exert a clearcut proangiogenic effect in vitro when tested on specialized human endothelial cells, such as HUVECs and immortalized endothelial cell lines. In the present study we used normal adult vascular endothelial cells isolated from human saphenous vein to analyze in vitro the role of AM, related to both early (increased cell proliferation) and late (differentiation and self-organization into capillary-like structures) angiogenic events and their relationship with the vascular endothelial growth factor (VEGF) signaling cascade. The results indicated that also in this endothelial cell phenotype AM promoted cell proliferation and differentiation into cord-like structures. These actions resulted specific and were mediated by the binding of AM to its AM1 (CRLR/RAMP2) receptor. Neither the administration of a VEGF receptor 2 (VEGFR-2) antagonist nor the downregulation of VEGF production by gene silencing were able to suppress the proangiogenic effect of AM. However, when the experiments were performed in the presence of SU5416 (a selective inhibitor of the VEGFR-2 receptor at the level of the intra-cellular tyrosine kinase domain) the proangiogenic effect of AM was abolished. This result suggests that in vascular endothelial cells the binding of AM to its AM1 receptor could trigger a transactivation of the VEGFR-2 receptor, leading to a signaling cascade inducing proangiogenic events in the cells.