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Mathematical modelling of angiogenesis.

Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a process whereby capillary sprouts are formed in response to externally supplied chemical stimuli. The sprouts then grow and develop, driven initially by endothelial cell migration, and organize themselves into a branched, connected network. Subsequent cell proliferation near the sprout-tips permits further extension of the capillaries and ultimately completes the process. Angiogenesis occurs during embryogenesis, wound healing, arthritis and during the growth of solid tumours. In this article we first of all present a review of a variety of mathematical models which have been used to describe the formation of capillary networks and then focus on a specific recent model which uses novel mathematical modelling techniques to generate both two- and three-dimensional vascular structures. The modelling focusses on key events of angiogenesis such as the migratory response of endothelial cells to exogenous cytokines (tumour angiogenic factors, TAF) secreted by a solid tumour; endothelial cell proliferation; endothelial cell interactions with extracellular matrix macromolecules such as fibronectin; capillary sprout branching and anastomosis. Numerical simulations of the model, using parameter values based on experimental data, are presented and the theoretical structures generated by the model are compared with the morphology of actual capillary networks observed in in vivo experiments. A final conclusions section discusses the use of the mathematical model as a possible angiogenesis assay.

Animals↗

A novel approach for studying angiogenesis: a human skin equivalent with a capillary-like network.

Angiogenesis results from an ordered set of events that can be modulated in vivo by a variety of angiogenesis-enhancing or inhibiting agents. We review in vitro angiogenesis models and the agents that enhance or inhibit angiogenesis. We also discuss a new in vitro angiogenesis model created within a skin equivalent. Briefly, endothelial cells were combined with the cutaneous cells of a standard skin equivalent and cultured in a chitosan cross-linked collagen-glycosaminoglycan scaffold of this endothelialized skin. This model enables the formation of capillary-like structures in a coculture environment containing newly synthesized extracellular matrix by fibroblasts and keratinocytes. Several morphological characteristics associated with the microvasculature in vivo were observed in the endothelialized skin equivalent such as histotypic organization of tubular structures, basement membrane deposition, and intercellular junction formation.

Animals↗

CXC chemokines mechanism of action in regulating tumor angiogenesis.

The CXC chemokines have recently been identified as a family of molecules which can regulate angiogenesis. Members of this family which contain the amino acid motif Glu-Leu-Arg in their amino terminus (ELR(+)) act as angiogenic factors, while ELR(-) members act as angiostatic molecules. The balance of these angiogenic versus angiostatic factors is critical in regulating homeostasis. As we detail in this review, there is increasing evidence from a variety of tumor model systems to suggest that the angiogenic members of this family and their receptors may be playing an important role in the neovascular pathology of solid tumors. In contrast, the angiostatic effects of the ELR- family members may provide novel therapeutic strategies for treating many tumors.

Journal Article↗

Quantitative analysis of angiogenesis using confocal laser scanning microscopy.

Angiogenesis is essential for tumor growth and metastasis. Angiogenesis is commonly quantified by measuring microvessel density (MVD) within tumors. In this report, we compared light microscopy with confocal laser scanning microscopy (CLSM) in the qualitative and quantitative analysis of angiogenesis. MVDs were determined manually in a lung tumor xenograft and a normal skeletal muscle using CD31 immunohistochemical staining and light microscopy. Area of three-dimensional representation of microvessels, detected as CD31 immunofluorescence, was measured automatically using computer-assisted CLSM. By manual counting under light microscopy, the relative level of MVD of the lung tumor vs. skeletal muscle was 0.8. However, the corresponding relative level of microvessels was 3.4 as determined by computer-assisted CLSM. Furthermore, the architecture of microvessels was better delineated with CLSM than with light microscopy. We have applied this CLSM method for analyzing the antiangiogenic effect of an anticancer drug, paclitaxel, in the lung tumor xenograft model. We conclude that CLSM is an appropriate method for quantitative and qualitative analysis of microvasculature in normal and tumor tissues.

Angiogenesis Inhibitors↗

Endostatin inhibits angiogenesis by stabilization of newly formed endothelial tubes.

Endostatin decreased vascular endothelial growth factor (VEGF)-induced formation of endothelial tubes and microvessels sprouting from aortic rings and blocked their network. After cessation of treatment, the survival time of endostatin plus VEGF-treated tubes was approximately doubled in comparison to VEGF alone. Endostatin antibody blocked VEGF-induced endothelial tube formation and disrupted existing tubes. Endostatin immunostaining was localized between endothelium and basement membrane and in inter-endothelial junctions of new, but not of quiescent, blood vessels. In tumors grown in SCID mice, endostatin immunostaining was stronger accompanying blood vessel maturation and was significantly prominent in vessels of tumor marginal zone where angiogenesis is highly active. These data indicate a new antiangiogenic action of endostatin stabilizing and maturating endothelial tubes of newly formed blood vessels. Thus, strategies accelerating vascular stabilization and maturation could be promising in tumor therapy.

Angiogenesis Inhibitors↗

The sponge/Matrigel angiogenesis assay.

It has become increasingly clear that definitive tests for angiogenesis require in vivo assays. Recently, the Matrigel plug assay has become the method of choice for many studies involving in vivo testing for angiogenesis. In this assay, test angiogenesis-inducing compounds such as bFGF or tumor cells are introduced into cold liquid Matrigel which, after subcutaneous injection, solidifies and permits penetration by host cells and the formation of new blood vessels. Assessment of angiogenesis in the Matrigel plug is achieved either by measuring hemoglobin or by scoring selected regions of histological sections for vascular density. We now describe a modification of the Matrigel plug assay which permits a more precise visualization of the angiogenic reaction, provides directional information, requires no histological analysis, and lends itself to photographic documentation and image analysis protocols. We illustrate the assay by describing dose- and time-dependent responses to tumors of murine and human origin, to angiogenesis-inducing factors such as bFGF (FGF-2) and VEGF and to anti-angiogenic agents such as endostatin. The method has been used as well to demonstrate blood vessel recruitment by embryonic chick aortic arch rudiments. Additionally it has been able to detect strain-dependent differences in susceptibility to angiogenic stimulation.

Angiogenesis Inhibitors↗

The thin prep rat aortic ring assay: a modified method for the characterization of angiogenesis in whole mounts.

The rat aortic ring model has gained broad acceptance as an angiogenic assay. This system can be used to study the activity of angiogenic and anti-angiogenic factors, and investigate the molecular mechanisms of the angiogenic process. We describe here a thin prep modification of the aortic ring model, which significantly simplifies the procedure and allows staining of aortic outgrowths as whole mounts. Using this procedure, intact preparations of angiogenic outgrowths are successfully and reproducibly stained with endothelial cell (anti-CD-31 and -Tie2 antibodies, Griffonia Simplicifolia isolectin-B4) and smooth muscle cell (anti-alpha-smooth muscle actin antibody) markers. Combined use of double immunostaining and confocal microscopy allows concurrent visualization of endothelial and mural cells in the same cultures. Whole mount immunostains of rat aorta cultures are an effective way to rapidly characterize the cellular composition of the angiogenic outgrowths, and localize proteins implicated in the regulation of angiogenesis. This method should facilitate the work of the many vascular biologists that have adopted the rat aorta model as a tool to study angiogenesis and its mechanisms.

Animals↗

Effect of human recombinant Endostatin protein on human angiogenesis.

Tumor growth and metastasis are dependent on the development of new blood vessels. Inhibitors of new vessel growth have been widely investigated as anti-tumor agents. Endostatin, a 20 kDa C-terminal fragment of collagen XVIII inhibits endothelial cell proliferation, induces endothelial cell apoptosis, and can both inhibit and reverse tumor growth in mice. However, human recombinant endostatin has had limited testing against human tissue targets. To investigate the effect of human endostatin on a human vessel target over a broad range of concentrations (10(-l2)-10(-4) M), human placental vein disks were grown for a period of 2 weeks in a 0.3% fibrin clot overlayed with growth medium. Disks from five individual placentas were tested. For each placenta utilized, a control (medium and 20% fetal bovine serum [FBS]) group and a group treated with heparin (300 microg/ml) and hydrocortisone 21-phosphate (350 microg/ml) (heparin-steroid) at a dose known to inhibit angiogenesis were included. Endostatin was tested at concentrations of 10(-12)-10(-4) M in medium containing 20% FBS. The rate of initiation and the angiogenic growth index (on a visually graded semi-quantitative scale of 0-16) were determined for all experimental conditions. Endostatin inhibited angiogenesis in our model only in high concentrations. At 10(-5) M, endostatin did not alter the percent of wells that initiated an angiogenic response, but significantly inhibited subsequent vessel growth. At 10(-4) M, endostatin was able to inhibit both initiation and subsequent new vessel growth. Human endostatin can inhibit the initiation of a human angiogenic response and inhibit the subsequent proliferation of human neovessels when used at high doses in a continuous exposure model.

Angiogenesis Inhibitors↗

Regulation of angiogenesis and endothelial cell function by connective tissue growth factor (CTGF) and cysteine-rich 61 (CYR61).

Connective tissue growth factor (CTGF) and cysteine-rich 61 (CYR61) are prototypical members of the CCN family which also contains nephroblastoma overexpressed (NOV) and Wnt-induced secreted proteins-1, -2 and -3 (WISP-1, -2, -3). These proteins function as extracellular matrix (ECM)-associated signaling molecules that contain structural modules allowing them to bind directly with other moieties in the pericellular environment. Although multiple target cell types have been identified for CCN proteins, there is strong evidence supporting a role for CTGF and CYR61 in the regulation of endothelial cell function and angiogenesis. Both CTGF and CYR61 can promote endothelial cell growth, migration, adhesion and survival in vitro and at least some of these effects are mediated through cell surface integrins. Both proteins are transcriptionally activated in endothelial cells in response to basic fibroblast growth factor (bFGF) or vascular endothelial growth factor (VEGF), and endothelial cell proliferation and migration in vitro is reduced by antagonists of CTGF production or action. The expression pattern of CTGF and CYR61 in endothelial cells of vessels in situ supports a role for these molecules in normal endothelial homeostasis, as well as participating in the angiogenic process during embryonic development, placentation, tumor formation, fibrosis, and wound healing. CTGF or CYR61 knockout mice exhibit vascular defects during embryogenesis and fetal development. Both CTGF and CYR61 are intrinsically active in in vivo asssays for angiogenic activity. However, they can also regulate the production and/or activity of other angiogenic molecules (e.g. bFGF, VEGF) as well molecules that affect the integrity or stability of the ECM (e.g. collagen, matrix metalloproteases (MMPs), tissue inhibitors of MMPs (TIMPs)). Therefore, through their paracrine action as products of cells such as fibroblasts or smooth muscle cells or through their autocrine action as products of endothelial cells, CTGF and CYR61 participate in a variety of direct and indirect mechanisms by which angiogenesis is regulated at multiple control points.

Amino Acid Sequence↗

Effects of thalidomide on parameters involved in angiogenesis: an in vitro study.

In an attempt to elucidate the mechanism(s) of action of thalidomide, a reportedly antiangiogenic molecule recently tested in the treatment of relapsing malignant gliomas, we performed an in vitro study on the following parameters: (a) effect of thalidomide on proliferation of endothelial cells; (b) effect of thalidomide on expression of alpha(v)beta3 integrin on the surface of endothelial cells; (c) effect of thalidomide on the release by endothelial cells of MMP-2, IL-8 and TNF-alpha. The results show that thalidomide inhibits endotelial cell proliferation induced by bFGF and VEGF, more so if the cells are grown on vitronectin; moreover, treatment with thalidomide reduces the release of MMP-2 and IL-8 by endothelial cells, suggesting a further pathway for the antiangiogenic activity of drug. On the other hand, thalidomide does not modify expression of alpha(v)beta3 on endothelial cells.

Angiogenesis Inhibitors↗

Angiogenesis in rat aortic rings stimulated by very low concentrations of serum and plasma.

Arterial ring cultures are evaluated for assay of angiogenic activity in physiological fluids. A simplified image analysis algorithm involving public domain software is used to measure microvessels sprouting from rat aortic rings embedded in fibrin. Low concentrations (<1% v/v) of serum and plasma stimulate angiogenesis primarily from the adventitia in a dose-dependent manner. Half-percent serum is more potent than optimal concentrations of some of the important known growth factors, including platelet derived growth factor, vascular endothelial growth factor and basic fibroblast growth factor. Sera and plasmas obtained from rodent, bovine, porcine or human sources have comparable angiogenic activities. The angiogenic activity is found to be heat stable, non-dialyzable and on gel chromatography is co-eluted with albumin. However, purified albumin and the essential fatty acids linoleic and linolenic acids have no effect on angiogenesis. It is concluded that rat aortic rings sprout microvessels, primarily from the adventitia, when cultured with serum or plasma in concentrations below those that support cell culture. Accordingly, the aortic ring assay is a promising system to support isolation of angiogenic factors from blood and other physiological fluids.

Angiogenesis Inducing Agents↗

Shark cartilage extracts as antiangiogenic agents: smart drinks or bitter pills?

The use of crude cartilage for the treatment of human cancers remains a subject of controversy. In this brief commentary, we reviewed the current knowledge on the anticancer properties of cartilage. We then presented the properties of AE-941, a novel standardized water-soluble extract derived from shark cartilage that represents less than 5% of the crude cartilage. It is a multifunctional antiangiogenic product that contains several biologically active molecules. EA-941 is one of the few antiangiogenic drugs that is under phase III clinical investigation. It is currently evaluated in Europe and North America for the treatment of refractory renal cell carcinoma and in North America for metastatic non small cell lung cancer.

Angiogenesis Inhibitors↗

Carbohydrate-recognition and angiogenesis.

Angiogenesis is required for the continual growth of the tumor and provides a gateway for cells to escape the confines of the primary tumor. Angiogenic stimulus triggers a cascade of functional responses leading to local basement membrane dissolution, endothelial cell migration, proliferation and microvessel morphogenesis. In this commentary, we review the significance of carbohydrate-binding proteins involved in angiogenesis. The importance of carbohydrate-recognition processes to angiogenesis stems from the observation that angiogenic factors like fibroblast growth factor family and vascular endothelial growth factors bind initially to the extracellular matrix proteoglycans before binding to their cognate receptors, and some of the adhesion molecules bind to glycoconjugates present on the surface of the endothelial cells. The possible significance of these interactions will be discussed.

Animals↗

2-Methoxyestradiol: an endogenous antiangiogenic and antiproliferative drug candidate.

2-Methoxyestradiol, once considered an inacitve end-metabolite of estradiol, has recently emerged as a very promising agent for cancer treatment. It is orally active in a wide range of tumor models, and inhibits tumor growth at doses showing no clinical signs of toxicity. 2ME2 targets both the tumor cell and endothelial cell compartments by inducing apoptosis in rapidly proliferating cells and inhibiting blood vessel formation at several stages in the angiogenic cascade. Moreover, the ability of 2ME2 to inhibit metastatic spread in several models adds to its therapeutic value for cancer treatment at various stages of the disease. Though the mechanism of action is still undefined, several potential molecular targets and pathways of activation have been suggested.

2-Methoxyestradiol↗

Tek/Tie2 signaling: new and old partners.

A common property amongst angiogenic ligands such as the vascular endothelial growth factors and the angiopoietins is that they can elicit multiple responses depending upon the context of their expression and the presence of other growth factors. Study of the signal transduction pathways initiated by these growth factors provides insight into the molecular and cellular mechanisms that regulate vessel assembly. Key components of signal transduction cascades can then be used as potential targets in angiogenic therapies. This commentary reviews the recent advances into understanding the molecular signaling pathways mediated through the angiopoietin receptor, Tek/Tie2, as well as their effect on the regulation of distinct cellular aspects of angiogenesis.

Animals↗

Endogenous regulators of angiogenesis--emphasis on proteins with thrombospondin--type I motifs.

Angiogenesis has been acknowledged as an important requirement for growth and metastasis of tumors. Complete or partial suppression of vascular growth by a number of different strategies has been consistently associated with suppression of tumor expansion and even reduction of tumor burden. Consequently, identification of the molecular pathways of the angiogenic response has been a major focus of interest in academia and industry. The development of tumor-specific anti-angiogenic therapy was also catalyzed by the finding that inhibitors of angiogenesis appeared immune to the development of drug resistance by the tumor cells, a major restrain in current chemotherapy. Although the full identification of players and their cross-talk is still at its infancy, it appears that partial blockade of one of the steps in the angiogenesis cascade, is sufficient to affect capillary morphogenesis. Thus, suppression of specific integrin pathways or vascular endothelial growth factor signaling have been shown effective in the suppression of tumor-mediated angiogenesis and have led to subsequent initiation of clinical trials. In addition to the generation of antibodies or chemical mimetics to interfere with particular steps during vascular organization, several endogenous (or physiological) molecules have also been identified. The list of endogenous modulators of angiogenesis is growing and can offer additional and important tool for the generation of therapies to restrain tumor vascularization. This review will focus one group of such molecules which include the thrombospondins and metallospondins, two families of proteins linked by the presence of a conserved anti-angiogenic functional domain.

ADAM Proteins↗

Angiogenesis assays: problems and pitfalls.

Many studies of angiogenesis inducers and inhibitors rely on in vitro or in vivo models as indicators of efficacy. However, as valuable as these models are, there are limitations to each one of these. This overview describes some of the principal methods now in use and discusses the advantages and some of the limitations of these methods. It is suggested that multiple assays, involving both in vitro and in vivo assays, are at present the best way to minimize the problems inherent in any specific assay.

Angiogenesis Inhibitors↗

Neuropilin is a mediator of angiogenesis.

Neuropilin is both a receptor for semaphorins, which are mediators of neuronal guidance, and for VEGF, an angiogenesis factor. While the function of neuropilin in the nervous system has been characterized, its role in angiogenesis is only beginning to be elucidated. This article reviews some of the structural and functional features of neuropilin and presents the experimental evidence showing that it is a mediator of angiogenesis. In particular, we show that neuropilin and its soluble isoforms regulate tumor angiogenesis and subsequent tumor growth.

Animals↗