{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,6]],"date-time":"2026-10-06T16:48:03Z","timestamp":1791305283104,"version":"4.3.1"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2008,12,30]],"date-time":"2008-12-30T00:00:00Z","timestamp":1230595200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Biomech Model Mechanobiol"],"published-print":{"date-parts":[[2009,10]]},"DOI":"10.1007\/s10237-008-0145-y","type":"journal-article","created":{"date-parts":[[2009,1,5]],"date-time":"2009-01-05T18:47:28Z","timestamp":1231181248000},"page":"397-413","source":"Crossref","is-referenced-by-count":123,"title":["Cell adhesion mechanisms and stress relaxation in the mechanics of tumours"],"prefix":"10.1007","volume":"8","author":[{"given":"Davide","family":"Ambrosi","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Luigi","family":"Preziosi","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2008,12,30]]},"reference":[{"key":"145_CR1","doi-asserted-by":"crossref","first-page":"1297","DOI":"10.1016\/S0020-7225(02)00014-9","volume":"40","author":"D Ambrosi","year":"2002","unstructured":"Ambrosi D, Mollica F (2002) On the mechanics of a growing tumour. Int J Eng Sci 40: 1297\u20131316","journal-title":"Int J Eng Sci"},{"key":"145_CR2","doi-asserted-by":"crossref","first-page":"477","DOI":"10.1007\/s00285-003-0238-2","volume":"48","author":"D Ambrosi","year":"2004","unstructured":"Ambrosi D, Mollica F (2004) The role of stress in the growth of a multicell spheroid. J Math Biol 48: 477\u2013499","journal-title":"J Math Biol"},{"key":"145_CR3","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1142\/S0218202502001878","volume":"12","author":"D Ambrosi","year":"2002","unstructured":"Ambrosi D, Preziosi L (2002) On the closure of mass balance models for tumour growth. Math Mod Methods Appl Sci 12: 737\u2013754","journal-title":"Math Mod Methods Appl Sci"},{"key":"145_CR4","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1017\/S0956792504005406","volume":"15","author":"RP Araujo","year":"2004","unstructured":"Araujo RP, McElwain DLS (2004) A linear-elastic model of anisotropic tumour growth. Eur J Appl Math 15: 365\u2013384","journal-title":"Eur J Appl Math"},{"key":"145_CR5","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1137\/040607113","volume":"65","author":"RP Araujo","year":"2005","unstructured":"Araujo RP, McElwain DLS (2005a) A mixture theory for the genesis of residual stresses in growing tissues. I. A general formulation. SIAM J Appl Math 65: 1261\u20131284","journal-title":"SIAM J Appl Math"},{"key":"145_CR6","doi-asserted-by":"crossref","first-page":"1285","DOI":"10.1137\/040607113","volume":"65","author":"RP Araujo","year":"2005","unstructured":"Araujo RP, McElwain DLS (2005b) A mixture theory for the genesis of residual stresses in growing tissues, II: Solutions to the biphasic equations for a multicell spheroid. SIAM J Appl Math 65: 1285\u20131299","journal-title":"SIAM J Appl Math"},{"key":"145_CR7","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1002\/(SICI)1521-4001(199903)79:3<185::AID-ZAMM185>3.0.CO;2-N","volume":"49","author":"IV Basov","year":"1999","unstructured":"Basov IV, Shelukhin VV (1999) Generalized solutions to the equations of compressible Bingham flows. ZAMM 49: 185\u2013192","journal-title":"ZAMM"},{"key":"145_CR8","doi-asserted-by":"crossref","first-page":"4005","DOI":"10.1073\/pnas.070052697","volume":"97","author":"W Baumgartner","year":"2000","unstructured":"Baumgartner W, Hinterdorfer P, Ness W, Raab A, Vestweber D, Schindler H, Drenckhahn D (2000) Cadherin interaction probed by atomic force microscopy. Proc Natl Acad Sci USA 97: 4005\u20134010","journal-title":"Proc Natl Acad Sci USA"},{"key":"145_CR9","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1007\/s002850200149","volume":"45","author":"CJW Breward","year":"2002","unstructured":"Breward CJW, Byrne HM, Lewis CE (2002) The role of cell\u2013cell interactions in a two-phase model for avascular tumour growth. J Math Biol 45: 125\u2013152","journal-title":"J Math Biol"},{"key":"145_CR10","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1016\/S0092-8240(03)00027-2","volume":"65","author":"CJW Breward","year":"2003","unstructured":"Breward CJW, Byrne HM, Lewis CE (2003) A multiphase model describing vascular tumour growth. Bull Math Biol 65: 609\u2013640","journal-title":"Bull Math Biol"},{"key":"145_CR11","doi-asserted-by":"crossref","first-page":"4249","DOI":"10.1039\/f19888404249","volume":"84","author":"R Buscall","year":"1988","unstructured":"Buscall R, Mills PDA, Goodwin JW, Lawson DW (1988) Scaling behaviour of the rheology of aggregate networks formed from colloidal particles. J Chem Soc Faraday Trans 84: 4249\u20134260","journal-title":"J Chem Soc Faraday Trans"},{"key":"145_CR12","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1016\/S0893-9659(03)00038-7","volume":"16","author":"HM Byrne","year":"2003","unstructured":"Byrne HM, King JR, McElwain DLS, Preziosi L (2003) A two-phase model of solid tumour growth. Appl Math Lett 16: 567\u2013573","journal-title":"Appl Math Lett"},{"key":"145_CR13","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1093\/imammb\/20.4.341","volume":"20","author":"HM Byrne","year":"2004","unstructured":"Byrne HM, Preziosi L (2004) Modeling solid tumour growth using the theory of mixtures. Math Med Biol 20: 341\u2013366","journal-title":"Math Med Biol"},{"key":"145_CR14","first-page":"298","volume":"42","author":"E Canetta","year":"2005","unstructured":"Canetta E, Duperray A, Leyrat A, Verdier C (2005) Measuring cell viscoelastic properties using a force-spectrometer: Influence of the protein\u2013cytoplasm interactions. Biorheology 42: 298\u2013303","journal-title":"Biorheology"},{"key":"145_CR15","doi-asserted-by":"crossref","first-page":"886","DOI":"10.1172\/JCI118870","volume":"98","author":"L Caveda","year":"1996","unstructured":"Caveda L, Martin-Padura I, Navarro P, Breviario F, Corada M, Gulino D, Lampugnani MG, Dejana E (1996) Inhibition of cultured cell growth by vascular endothelial cadherin (cadherin-5\/VE-cadherin). J Clin Invest 98: 886\u2013893","journal-title":"J Clin Invest"},{"key":"145_CR16","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1093\/imammb\/dql009","volume":"23","author":"MAJ Chaplain","year":"2006","unstructured":"Chaplain MAJ, Graziano L, Preziosi L (2006) Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development. Math Med Biol 23: 197\u2013229","journal-title":"Math Med Biol"},{"key":"145_CR17","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1007\/s002850100091","volume":"43","author":"CY Chen","year":"2001","unstructured":"Chen CY, Byrne HM, King JR (2001) The influence of growth-induced stress from the surrounding medium on the development of multicell spheroids. J Math Biol 43: 191\u2013220","journal-title":"J Math Biol"},{"key":"145_CR18","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1007\/s00285-002-0174-6","volume":"46","author":"V Cristini","year":"2003","unstructured":"Cristini V, Lowengrub J, Nie Q (2003) Nonlinear simulation of tumour growth. J Math Biol 46: 191\u2013224","journal-title":"J Math Biol"},{"key":"145_CR19","doi-asserted-by":"crossref","first-page":"2227","DOI":"10.1016\/S0006-3495(98)77932-9","volume":"74","author":"G Forgacs","year":"1998","unstructured":"Forgacs G, Foty RA, Shafrir Y, Steinberg MS (1998) Viscoelastic properties of living embryonic tissues: a quantitative study. Biophys J 74: 2227\u20132234","journal-title":"Biophys J"},{"key":"145_CR20","doi-asserted-by":"crossref","first-page":"424","DOI":"10.1007\/s00285-003-0214-x","volume":"47","author":"SJ Franks","year":"2003","unstructured":"Franks SJ, Byrne HM, King JR, Underwood JCE, Lewis CE (2003a) Modelling the early growth of ductal carcinoma in situ of the breast. J Math Biol 47: 424\u2013452","journal-title":"J Math Biol"},{"key":"145_CR21","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1093\/imammb\/20.3.277","volume":"20","author":"SJ Franks","year":"2003","unstructured":"Franks SJ, Byrne HM, Mudhar HS, Underwood JCE, Lewis CE (2003b) Mathematical modelling of comedo ductal carcinoma in situ of the breast. Math Med Biol 20: 277\u2013308","journal-title":"Math Med Biol"},{"key":"145_CR22","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1093\/imammb\/20.1.47","volume":"20","author":"SJ Franks","year":"2003","unstructured":"Franks SJ, King JR (2003) Interactions between a uniformly proliferating tumour and its surrounding: uniform material properties. Math Med Biol 20: 47\u201389","journal-title":"Math Med Biol"},{"key":"145_CR23","doi-asserted-by":"crossref","first-page":"1597","DOI":"10.1158\/0008-5472.CAN-05-3166","volume":"66","author":"H Frieboes","year":"2006","unstructured":"Frieboes H, Zheng X, Sun C-H, Tromberg B, Gatenby R, Cristini V (2006) An integrated computational\/experimental model of tumour invasion. Cancer Res 66: 1597\u20131604","journal-title":"Cancer Res"},{"key":"145_CR24","volume-title":"Principles of Composite Material Mechanics","author":"RF Gibson","year":"1994","unstructured":"Gibson RF (1994) Principles of Composite Material Mechanics. McGraw-Hill, NY, USA"},{"key":"145_CR25","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1093\/qjmam\/22.4.427","volume":"22","author":"AE Green","year":"1969","unstructured":"Green AE, Naghdi PM (1969) On basic equations for mixtures. Quart J Mech Appl Math 22: 427\u2013438","journal-title":"Quart J Mech Appl Math"},{"key":"145_CR26","doi-asserted-by":"crossref","first-page":"778","DOI":"10.1038\/nbt0897-778","volume":"15","author":"G Helmlinger","year":"1997","unstructured":"Helmlinger G, Netti PA, Lichtenbeld HC, Melder RJ, Jain RK (1997) Solid stress inhibits the growth of multicellular tumour spheroids. Nature Biotechnol 15: 778\u2013783","journal-title":"Nature Biotechnol"},{"key":"145_CR27","doi-asserted-by":"crossref","first-page":"216","DOI":"10.1002\/zamm.19320120403","volume":"12","author":"K Hohenemser","year":"1932","unstructured":"Hohenemser K, Prager W (1932) \u00dcber die ans\u00e4tze der mechanik isotroper kontinua. ZAMM 12: 216\u2013226","journal-title":"ZAMM"},{"key":"145_CR28","doi-asserted-by":"crossref","first-page":"372","DOI":"10.1115\/1.3138633","volume":"108","author":"NH Holmes","year":"1986","unstructured":"Holmes NH (1986) Finite deformation of soft tissue: analysis of a mixture model in uni-axial compression. J Biomech Eng 108: 372\u2013381","journal-title":"J Biomech Eng"},{"key":"145_CR29","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-4462-2","volume-title":"Fluid dynamics of viscoelastic liquids","author":"DD Joseph","year":"1990","unstructured":"Joseph DD (1990) Fluid dynamics of viscoelastic liquids. Springer, Berlin"},{"key":"145_CR30","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1007\/s002850000033","volume":"40","author":"AF Jones","year":"2000","unstructured":"Jones AF, Byrne HM, Gibson JS, Dold JW (2000) A mathematical model of the stress induced during solid tumour growth. J Math Biol 40: 473\u2013499","journal-title":"J Math Biol"},{"key":"145_CR31","doi-asserted-by":"crossref","first-page":"869","DOI":"10.1038\/sj.onc.1202396","volume":"18","author":"S Levenberg","year":"1999","unstructured":"Levenberg S, Yarden A, Kam Z, Geiger B (1999) p27 is involved in N-cadherin-mediated contact inhibition of cell growth and S-phase entry. Oncogene 18: 869\u2013876","journal-title":"Oncogene"},{"key":"145_CR32","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1177\/1081286507074096","volume":"13","author":"WA Malik","year":"2008","unstructured":"Malik WA, Prasad SC, Rajagopal KR, Preziosi L (2008) On the modelling of the viscoelastic response of embryonic tissues. Math Mech Solids 13: 81\u201391","journal-title":"Math Mech Solids"},{"key":"145_CR33","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1016\/j.jtbi.2006.12.004","volume":"245","author":"P Macklin","year":"2007","unstructured":"Macklin P, Lowengrub J (2007) Nonlinear simulation of the effect of the microenvironment on tumour growth. J Theor Biol 245: 677\u2013704","journal-title":"J Theor Biol"},{"key":"145_CR34","volume-title":"Introduction of the Mechanics of a Continuous Medium","author":"LE Malvern","year":"1969","unstructured":"Malvern LE (1969) Introduction of the Mechanics of a Continuous Medium. Prentice Hall Inc., Englewood Cliffs"},{"key":"145_CR35","volume-title":"Cancer Modelling and Simulation","author":"PA Netti","year":"2003","unstructured":"Netti PA, Jain RK (2003) Interstitial transport in solid tumours. In: Preziosi L (eds) Cancer Modelling and Simulation. CRC Press, Chapman Hall, Boca Raton"},{"key":"145_CR36","doi-asserted-by":"crossref","first-page":"66","DOI":"10.1242\/jcs.02719","volume":"119","author":"P Panorchan","year":"2006","unstructured":"Panorchan P, Thompson MS, Davis KJ, Tseng Y, Konstantopoulos K, Wirtz D (2006) Single-molecule analysis of cadherin-mediated cell\u2013cell adhesion. J Cell Sci 119: 66\u201374","journal-title":"J Cell Sci"},{"key":"145_CR37","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/j.ccr.2005.08.010","volume":"8","author":"MJ Paszek","year":"2005","unstructured":"Paszek MJ, Zahir N, Johnson KR, Lakins JN, Rozenberg GI, Gefen A, Reinhart-King CA, Margulies SS, Dembo M, Boettiger D, Hammer DA, Weaver VM (2005) Tensional homeostasis and the malignant phenotype. Cancer Cell 8: 241\u2013254","journal-title":"Cancer Cell"},{"key":"145_CR38","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1016\/0377-0257(89)85029-3","volume":"33","author":"L Preziosi","year":"1989","unstructured":"Preziosi L (1989) On an invariance property of the solution to Stokes\u2019 first problem for viscoelastic fluids. J Non-Newtonian Fluid Mech 33: 225\u2013228","journal-title":"J Non-Newtonian Fluid Mech"},{"key":"145_CR39","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/0377-0257(87)85028-0","volume":"25","author":"L Preziosi","year":"1987","unstructured":"Preziosi L, Joseph DD (1987) Stokes\u2019 first problem for viscoelastic fluids. J Non-Newtonian Fluid Mech 25: 239\u2013259","journal-title":"J Non-Newtonian Fluid Mech"},{"key":"145_CR40","author":"L Preziosi","year":"2009","unstructured":"Preziosi L, Tosin A (2009) Multiphase modeling of tumour growth and extracellular matrix interaction: mathematical tools and applications. J Math Biol.. doi: 10.1007\/s00285-008-0218-7","journal-title":"J Math Biol"},{"key":"145_CR41","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1016\/S0026-2862(03)00057-8","volume":"66","author":"T Roose","year":"2003","unstructured":"Roose T, Netti PA, Munn LL, Boucher Y, Jain RK (2003) Solid stress generated by spheroid growth estimated using a linear poroelasticity model. Microvasc Res 66: 204\u2013212","journal-title":"Microvasc Res"},{"key":"145_CR42","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1016\/0021-9290(94)90021-3","volume":"27","author":"EK Rodriguez","year":"1994","unstructured":"Rodriguez EK, Hoger A, McCulloch A (1994) Stress dependent finite growth in soft elastic tissues. J Biomech 27: 455\u2013467","journal-title":"J Biomech"},{"key":"145_CR43","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1115\/1.3121397","volume":"45","author":"BR Simon","year":"1992","unstructured":"Simon BR (1992) Multiphase poroelastic finite element models for soft tissue structures. Appl Mech Rev 45: 191\u2013218","journal-title":"Appl Mech Rev"},{"key":"145_CR44","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/s00021-002-8538-7","volume":"4","author":"VV Shelukhin","year":"2002","unstructured":"Shelukhin VV (2002) Bingham viscoplastic as a limit of non-Newtonian fluids. J Math Fluid Mech 4: 109\u2013127","journal-title":"J Math Fluid Mech"},{"key":"145_CR45","doi-asserted-by":"crossref","first-page":"1811","DOI":"10.1051\/jp3:1996215","volume":"6","author":"P Snabre","year":"1996","unstructured":"Snabre P, Mills P (1996) Rheology of weakly flocculated suspensions of rigid particles. J Phys III France 6: 1811\u20131834","journal-title":"J Phys III France"},{"key":"145_CR46","doi-asserted-by":"crossref","first-page":"4320","DOI":"10.1529\/biophysj.104.058180","volume":"89","author":"M Sun","year":"2005","unstructured":"Sun M, Graham JS, Hegedus B, Marga F, Zhang Y, Forgacs G, Grandbois M (2005) Multiple membrane tethers probed by atomic force microscopy. Biophys J 89: 4320\u20134329","journal-title":"Biophys J"},{"key":"145_CR47","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1016\/j.actbio.2006.04.002","volume":"2","author":"KY Volokh","year":"2006","unstructured":"Volokh KY (2006) Stresses in growing soft tissues. Acta Biomater 2: 493\u2013504","journal-title":"Acta Biomater"}],"container-title":["Biomechanics and Modeling in Mechanobiology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10237-008-0145-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10237-008-0145-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10237-008-0145-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T11:29:17Z","timestamp":1559129357000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10237-008-0145-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,12,30]]},"references-count":47,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2009,10]]}},"alternative-id":["145"],"URL":"https:\/\/doi.org\/10.1007\/s10237-008-0145-y","relation":{},"ISSN":["1617-7959","1617-7940"],"issn-type":[{"value":"1617-7959","type":"print"},{"value":"1617-7940","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,12,30]]}}}