Abstract
Angiogenesis is a multistep process in which endothelial cells (ECs) are affected by several extracellular stimuli, including growth factors, extracellular matrix (ECM), and parenchymal and stromal cells. In this process, growth factor receptors as well as adhesion receptors convey the extracellular signaling in a coordinate intracellular pathway. The Vascular Endothelial Growth Factor (VEGF), by binding the Vascular endothelial growth factor receptor 2 (VEGFR-2), promotes EC proliferation, migration, and their reorganization in active vessels. Once engaged, the activation of VEGFR-2 is modulated by its interaction with β3 integrin. Although the ability of VEGFR-2 to participate in a complex with β3 integrin is well known, the close correlation between their activation and the multiphysical phenomena regulating EC dynamics remains still very restricted. Here we computationally model the VEGFR-2 and β3 integrin membrane dynamics by a multi-physics model, to identify how ligands stimulation induces the polarization of receptors in cell protrusions and in the basal aspect of ECs plated on a ligand-enriched ECM. The research for new anti-angiogenic solutions through the controlled activation of the ECs could arise from the determination of the laws that govern the polarization of the receptors.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Agrawal A, Steigmann DJ (2009) Boundary-value problems in the theory of lipid membranes. Continuum Mechanics and Thermodynamics 21(1):57–82
Agrawal A, Steigmann DJ (2011) A model for surface diffusion of trans-membrane proteins on lipid bilayers. Zeitschrift für angewandte Mathematik und Physik 62(3):549–563
Calderwood DA (2004) Integrin activation. Journal of cell science 117(5):657–666
Carmeliet P, Ng YS, Nuyens D, et al (1999) Impaired myocardial angiogenesis and ischemic cardiomyopathy in mice lacking the vascular endothelial growth factor isoforms VEGF 164 and VEGF 188. Nature medicine 5(5):495–502
Damioli V, Salvadori A, Beretta GP, Ravelli C, Mitola S (2017) Multi-physics interactions drive VEGFR2 relocation on endothelial cells. Scientific reports 7(1):1–11
De Groot SR, Mazur P (1984) Non-equilibrium thermodynamics. Dover
Deshpande R, Cheng YT, Verbrugge MW, Timmons A (2011) Diffusion induced stresses and strain energy in a phase-transforming spherical electrode particle. Journal of the Electrochemical Society 158(6):A718–A724
Deshpande VS, McMeeking RM, Evans AG (2006) A bio-chemo-mechanical model for cell contractility. Proceedings of the National Academy of Sciences 103(38):14,015–14,020
Deshpande VS, McMeeking RM, Evans AG (2007) A model for the contractility of the cytoskeleton including the effects of stress-fibre formation and dissociation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463(2079):787–815
Deshpande VS, Mrksich M, McMeeking RM, Evans AG (2008) A bio-mechanical model for coupling cell contractility with focal adhesion formation. Journal of the Mechanics and Physics of Solids 56(4):1484–1510
Eliceiri BP (2001) Integrin and growth factor receptor crosstalk. Circulation research 89(12):1104–1110
Esser S, Lampugnani MG, Corada M, Dejana E, Risau W (1998) Vascular endothelial growth factor induces VE-cadherin tyrosine phosphorylation in endothelial cells. Journal of cell science 111(13):1853–1865
Gurtin ME, Fried E, Anand L (2010) The mechanics and thermodynamics of continua. Cambridge University Press
Helfrich W (1973) Elastic properties of lipid bilayers: theory and possible experiments. Zeitschrift für Naturforschung C 28(11-12):693–703
Hynes RO (2002) Integrins: bidirectional, allosteric signaling machines. cell 110(6):673–687
Joanny JF, Kruse K, Prost J, Ramaswamy S (2013) The actin cortex as an active wetting layer. The European Physical Journal E 36(5):1–6
Kruse K, Joanny JF, Jülicher F, Prost J, Sekimoto K (2005) Generic theory of active polar gels: a paradigm for cytoskeletal dynamics. The European Physical Journal E 16(1):5–16
Marchetti MC, Joanny JF, Ramaswamy S, Liverpool TB, Prost J, Rao M, Simha RA (2013) Hydrodynamics of soft active matter. Reviews of Modern Physics 85(3):1143–1189
McEvoy E, Deshpande VS, McGarry P (2017) Free energy analysis of cell spreading. Journal of the mechanical behavior of biomedical materials 74:283–295
McMeeking RM, Deshpande VS (2017) A bio-chemo-mechanical model for cell contractility, adhesion, signaling, and stress-fiber remodeling. In: Holzapfel G, Ogden R (eds) Biomechanics: Trends in Modeling and Simulation, vol 20, Springer, pp 53–81
Neufeld G, Cohen T, Gengrinovitch S, Poltorak Z (1999)Vascular endothelial growth factor (VEGF) and its receptors. The FASEB journal 13(1):9–22
Obbink-Huizer C, Oomens CW, Loerakker S, Foolen J, Bouten CV, Baaijens FP (2014) Computational model predicts cell orientation in response to a range of mechanical stimuli. Biomechanics and modeling in mechanobiology 13(1):227–236
Peach CJ, Kilpatrick LE, Friedman-Ohana R, Zimmerman K, Robers MB, Wood KV, Woolard J, Hill SJ (2018) Real-time ligand binding of fluorescent VEGF-A isoforms that discriminate between VEGFR2 and NRP1 in living cells. Cell chemical biology 25(10):1208–1218
Prost J, Jülicher F, Joanny JF (2015) Active gel physics. Nature Physics 11(2):111–117
Quarteroni A, Valli A (2008) Numerical approximation of partial differential equations, vol 23. Springer Science & Business Media
Ravelli C, Mitola S, Corsini M, Presta M (2013) Involvement of αvβ3 integrin in gremlin-induced angiogenesis. Angiogenesis 16(1):235–243
Ravelli C, Grillo E, Corsini M, Coltrini D, Presta M, Mitola S (2015) β3 integrin promotes long-lasting activation and polarization of vascular endothelial growth factor receptor 2 by immobilized ligand. Arteriosclerosis, thrombosis, and vascular biology 35(10):2161–2171
Reinhart-King CA, Dembo M, Hammer DA (2005) The dynamics and mechanics of endothelial cell spreading. Biophysical journal 89(1):676–689
Ronan W, Deshpande VS, McMeeking RM, McGarry JP (2012) Numerical investigation of the active role of the actin cytoskeleton in the compression resistance of cells. Journal of the Mechanical Behavior of Biomedical Materials 14:143–157
RonanW, Deshpande VS, McMeeking RM, McGarry JP (2014) Cellular contractility and substrate elasticity: a numerical investigation of the actin cytoskeleton and cell adhesion. Biomechanics and modeling in mechanobiology 13(2):417–435
Salvadori A, Damioli V, Ravelli C, Mitola S (2018a) Modeling and simulation of VEGF receptors recruitment in angiogenesis. Mathematical Problems in Engineering 2018:1–10
Salvadori A, McMeeking R, Grazioli D, Magri M (2018b) A coupled model of transport-reactionmechanics with trapping. Part I–Small strain analysis. Journal of the Mechanics and Physics of Solids 114:1–30
Soldi R, Mitola S, Strasly M, Defilippi P, Tarone G, Bussolino F (1999) Role of αvβ3 integrin in the activation of vascular endothelial growth factor receptor-2. EMBO J 18(4):882–892
Steigmann D, Agrawal A (2016) Electromechanics of polarized lipid bilayers. Mathematics and Mechanics of Complex Systems 4(1):31–54
Valdembri D, Serini G (2012) Regulation of adhesion site dynamics by integrin traffic. Current opinion in cell biology 24(5):582–591
Vernerey FJ, Farsad M (2011) A constrained mixture approach to mechano-sensing and force generation in contractile cells. Journal of the mechanical behavior of biomedical materials 4(8):1683–1699
Vigliotti A, Ronan W, Baaijens FPT, Deshpande VS (2016) A thermodynamically motivated model for stress-fiber reorganization. Biomechanics and modeling in mechanobiology 15(4):761–789
Acknowledgements
Authors are gratefully indebted with the company Ferriera Valsabbia for the support to their research through a devoted fellowship. MS acknowledges the support of Guido Berlucchi Foundation Young Researchers Mobility Programme.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Serpelloni, M. et al. (2020). A Model of Integrin and VEGF Receptors Recruitment on Endothelial Cells. In: Abali, B., Giorgio, I. (eds) Developments and Novel Approaches in Biomechanics and Metamaterials. Advanced Structured Materials, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-030-50464-9_11
Download citation
DOI: https://doi.org/10.1007/978-3-030-50464-9_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-50463-2
Online ISBN: 978-3-030-50464-9
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)