Distinct modes of collagen type I proteolysis by matrix metalloproteinase (MMP) 2 and membrane type I MMP during the migration of a tip endothelial cell: insights from a computational model.

Matrix metalloproteinases (MMPs) are a family of enzymes responsible for the proteolytic processing of extracellular matrix (ECM) structural proteins under physiological and pathological conditions. During sprouting angiogenesis, the MMPs expressed by a single "tip" endothelial cell exhibit proteolytic activity that allows the cells of the sprouting vessel bud to migrate into the ECM. Membrane type I matrix metalloproteinase (MT1-MMP) and the diffusible matrix metalloproteinase MMP2, in the presence of the tissue inhibitor of metalloproteinases TIMP2, constitute a system of proteins that play an important role during the proteolysis of collagen type I matrices. Here, we have formulated a computational model to investigate the proteolytic potential of such a tip endothelial cell. The cell expresses MMP2 in its proenzyme form, pro-MMP2, as well as MT1-MMP and TIMP2. The interactions of the proteins are described by a biochemically detailed reaction network. Assuming that the rate-limiting step of the migration is the ability of the tip cell to carry out proteolysis, we have estimated cell velocities for matrices of different collagen content. The estimated velocities of a few microns per hour are in agreement with experimental data. At high collagen content, proteolysis was carried out primarily by MT1-MMP and localized to the cell leading edge, whereas at lower concentrations, MT1-MMP and MMP2 were found to act in parallel, causing proteolysis in the vicinity of the leading edge. TIMP2 is a regulator of the proteolysis localization because it can shift the activity of MT1-MMP from its enzymatic toward its activatory mode, suggesting a tight mechanosensitive regulation of the enzymes and inhibitor expression. The model described here provides a foundation for quantitative studies of angiogenesis in extracellular matrices of different compositions, both in vitro and in vivo. It also identifies critical parameters whose values are not presently available and which should be determined in future experiments.

[1]  김광호,et al.  대장암조직에서의 Tissue Inhibitor of Matrix Metalloproteinase-2 발현의 임상적 의의 , 1997 .

[2]  N. Caron,et al.  In vivo migration of transplanted myoblasts requires matrix metalloproteinase activity. , 2000, Experimental cell research.

[3]  K. Alitalo,et al.  VEGF guides angiogenic sprouting utilizing endothelial tip cell filopodia , 2003, The Journal of cell biology.

[4]  Juan P. Albar,et al.  Membrane Type 1-Matrix Metalloproteinase Is Activated during Migration of Human Endothelial Cells and Modulates Endothelial Motility and Matrix Remodeling* , 2001, The Journal of Biological Chemistry.

[5]  F. M. Gabhann,et al.  receptors on endothelial cells growth factor and placental growth factor to VEGF Model of competitive binding of vascular endothelial , 2005 .

[6]  B. Sleeman,et al.  Mathematical modeling of capillary formation and development in tumor angiogenesis: Penetration into the stroma , 2001, Bulletin of mathematical biology.

[7]  G Murphy,et al.  Proteolysis and cell migration: creating a path? , 1999, Current opinion in cell biology.

[8]  R K Jain,et al.  Fluorescence photobleaching with spatial Fourier analysis: measurement of diffusion in light-scattering media. , 1993, Biophysical journal.

[9]  H. Berry,et al.  Oscillatory behavior of a simple kinetic model for proteolysis during cell invasion. , 1999, Biophysical journal.

[10]  I. Herman,et al.  Mechanisms of normal and tumor-derived angiogenesis. , 2002, American journal of physiology. Cell physiology.

[11]  R. Prud’homme,et al.  Reaction-Diffusion of Enzyme Molecules in Biopolymer Matrices , 2002 .

[12]  Teruhiko Koike,et al.  MT1‐MMP, but not secreted MMPs, influences the migration of human microvascular endothelial cells in 3‐dimensional collagen gels , 2002, Journal of cellular biochemistry.

[13]  R K Jain,et al.  Hindered diffusion in agarose gels: test of effective medium model. , 1996, Biophysical journal.

[14]  M. Seiki,et al.  Roles of pericellular proteolysis by membrane type‐1 matrix metalloproteinase in cancer invasion and angiogenesis , 2003, Cancer science.

[15]  Stephen J. Weiss,et al.  Regulation of Cell Invasion and Morphogenesis in a Three-Dimensional Type I Collagen Matrix by Membrane-Type Matrix Metalloproteinases 1, 2, and 3 , 2000, The Journal of cell biology.

[16]  B. Sleeman,et al.  Mathematical modeling of capillary formation and development in tumor angiogenesis: Penetration into the stroma , 2001 .

[17]  Carl I. Steefel,et al.  Reactive transport in porous media , 1996 .

[18]  T. L. Drell,et al.  Tumor cell locomotion: differential dynamics of spontaneous and induced migration in a 3D collagen matrix. , 2004, Experimental cell research.

[19]  L. Matrisian,et al.  Matrix metalloproteinases in tumor-host cell communication. , 2002, Differentiation; research in biological diversity.

[20]  M. Chaplain,et al.  Continuous and Discrete Mathematical Models of Tumor‐Induced Angiogenesis , 1999 .

[21]  J. Gamble,et al.  Regulation of in vitro capillary tube formation by anti-integrin antibodies , 1993, The Journal of cell biology.

[22]  Aleksander S. Popel,et al.  A Reaction-Diffusion Model of Basic Fibroblast Growth Factor Interactions with Cell Surface Receptors , 2004, Annals of Biomedical Engineering.

[23]  Emmanouil D Karagiannis,et al.  A Theoretical Model of Type I Collagen Proteolysis by Matrix Metalloproteinase (MMP) 2 and Membrane Type 1 MMP in the Presence of Tissue Inhibitor of Metalloproteinase 2*[boxs] , 2004, Journal of Biological Chemistry.

[24]  J. D. Wells,et al.  On the transport of compact particles through solutions of chain-polymers , 1973, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[25]  P. Bowler Wound pathophysiology, infection and therapeutic options , 2002, Annals of medicine.

[26]  T. Haas,et al.  Three-dimensional Type I Collagen Lattices Induce Coordinate Expression of Matrix Metalloproteinases MT1-MMP and MMP-2 in Microvascular Endothelial Cells* , 1998, The Journal of Biological Chemistry.

[27]  James P. Quigley,et al.  Matrix Metalloproteinase-2 Is an Interstitial Collagenase , 1995, The Journal of Biological Chemistry.

[28]  Constance E. Brinckerhoff,et al.  Matrix metalloproteinases: a tail of a frog that became a prince , 2002, Nature Reviews Molecular Cell Biology.

[29]  Jane Sottile,et al.  Regulation of angiogenesis by extracellular matrix. , 2004, Biochimica et biophysica acta.

[30]  Peter C. Lichtner,et al.  Continuum formulation of multicomponent-multiphase reactive transport , 1996 .

[31]  W. Deen Analysis Of Transport Phenomena , 1998 .

[32]  A L Zhou,et al.  Matrix metalloproteinase activity is required for activity-induced angiogenesis in rat skeletal muscle. , 2000, American journal of physiology. Heart and circulatory physiology.

[33]  J. Levick Flow through interstitium and other fibrous matrices. , 1987, Quarterly journal of experimental physiology.

[34]  C. R. Ethier,et al.  The hydrodynamic resistance of hyaluronic acid: estimates from sedimentation studies. , 1986, Biorheology.

[35]  W. Godwin Article in Press , 2000 .

[36]  P. Carmeliet Angiogenesis in health and disease , 2003, Nature Medicine.

[37]  H. Augustin,et al.  Tensional forces in fibrillar extracellular matrices control directional capillary sprouting. , 1999, Journal of cell science.

[38]  Motoharu Seiki,et al.  The cell surface: the stage for matrix metalloproteinase regulation of migration. , 2002, Current opinion in cell biology.

[39]  H. Scott Fogler,et al.  Chemical Reaction Engineering , 2004 .

[40]  Peter Friedl,et al.  Compensation mechanism in tumor cell migration , 2003, The Journal of cell biology.

[41]  E. Creemers,et al.  The dynamic extracellular matrix: intervention strategies during heart failure and atherosclerosis , 2003, The Journal of pathology.

[42]  K. Brocklehurst,et al.  Kinetic analysis of the mechanism of interaction of full-length TIMP-2 and gelatinase A: evidence for the existence of a low-affinity intermediate. , 1998, Biochemistry.

[43]  R. Visse,et al.  This Review Is Part of a Thematic Series on Matrix Metalloproteinases, Which Includes the following Articles: Matrix Metalloproteinase Inhibition after Myocardial Infarction: a New Approach to Prevent Heart Failure? Matrix Metalloproteinases in Vascular Remodeling and Atherogenesis: the Good, the Ba , 2022 .

[44]  Y. Tominaga,et al.  Recognition and catabolism of synthetic heterotrimeric collagen peptides by matrix metalloproteinases. , 2000, Chemistry & biology.

[45]  Y. Okada,et al.  Membrane Type 1 Matrix Metalloproteinase Digests Interstitial Collagens and Other Extracellular Matrix Macromolecules* , 1997, The Journal of Biological Chemistry.

[46]  Nasim Akhtar,et al.  Angiogenesis assays: a critical overview. , 2003, Clinical chemistry.

[47]  Stanley J. Wiegand,et al.  Vascular-specific growth factors and blood vessel formation , 2000, Nature.

[48]  S Zucker,et al.  The Propeptide Domain of Membrane Type 1 Matrix Metalloproteinase Is Required for Binding of Tissue Inhibitor of Metalloproteinases and for Activation of Pro-gelatinase A* , 1998, The Journal of Biological Chemistry.

[49]  A. Campana,et al.  Matrix metalloproteinases and their specific tissue inhibitors in menstruation. , 2002, Reproduction.

[50]  E. Hill Journal of Theoretical Biology , 1961, Nature.

[51]  L. Kotra,et al.  Complex Pattern of Membrane Type 1 Matrix Metalloproteinase Shedding , 2002, The Journal of Biological Chemistry.

[52]  H. Petty,et al.  Tumor cell invasion of model 3-dimensional matrices: demonstration of migratory pathways, collagen disruption, and intercellular cooperation. , 2001, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[53]  J. Sherratt,et al.  Alterations in proteolytic activity at low pH and its association with invasion: A theoretical model , 1999, Clinical & Experimental Metastasis.

[54]  A. Strongin,et al.  Mechanism Of Cell Surface Activation Of 72-kDa Type IV Collagenase , 1995, The Journal of Biological Chemistry.

[55]  J. Quigley,et al.  Matrix metalloproteinase-2 is an interstitial collagenase. Inhibitor-free enzyme catalyzes the cleavage of collagen fibrils and soluble native type I collagen generating the specific 3/4- and 1/4-length fragments. , 1995, The Journal of biological chemistry.

[56]  D. Lauffenburger,et al.  Parsing ERK Activation Reveals Quantitatively Equivalent Contributions from Epidermal Growth Factor Receptor and HER2 in Human Mammary Epithelial Cells* , 2005, Journal of Biological Chemistry.

[57]  M. d’Ortho,et al.  MT1‐MMP on the cell surface causes focal degradation of gelatin films , 1998, FEBS letters.

[58]  T. Haas,et al.  Extracellular matrix-driven matrix metalloproteinase production in endothelial cells: implications for angiogenesis. , 1999, Trends in cardiovascular medicine.

[59]  Gillian Murphy,et al.  The TIMP2 Membrane Type 1 Metalloproteinase “Receptor” Regulates the Concentration and Efficient Activation of Progelatinase A , 1998, The Journal of Biological Chemistry.

[60]  G. Fadda,et al.  Enzyme-catalyzed gel proteolysis: an anomalous diffusion-controlled mechanism. , 2003, Biophysical journal.

[61]  Stephen J. Weiss,et al.  MT1-MMP–dependent neovessel formation within the confines of the three-dimensional extracellular matrix , 2004, The Journal of cell biology.

[62]  O. Levenspiel Chemical Reaction Engineering , 1972 .

[63]  R. Burgeson,et al.  Structure and function of collagen types , 1987 .

[64]  Hanna Parnas,et al.  Reaction diffusion model of the enzymatic erosion of insoluble fibrillar matrices. , 2002, Biophysical journal.

[65]  D A Lauffenburger,et al.  The role of low-affinity interleukin-2 receptors in autocrine ligand binding: alternative mechanisms for enhanced binding effect. , 1994, Molecular immunology.

[66]  H. Emonard,et al.  Matrix-directed regulation of pericellular proteolysis and tumor progression. , 2002, Seminars in cancer biology.