{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T11:22:31Z","timestamp":1778584951609,"version":"3.51.4"},"reference-count":60,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100014055","name":"U.S. Army Medical Research Acquisition Activity","doi-asserted-by":"crossref","award":["W81XWH-15-1-0147"],"award-info":[{"award-number":["W81XWH-15-1-0147"]}],"id":[{"id":"10.13039\/100014055","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/100000006","name":"U.S. Office of Naval Research","doi-asserted-by":"crossref","award":["N00014-13-C-0357"],"award-info":[{"award-number":["N00014-13-C-0357"]}],"id":[{"id":"10.13039\/100000006","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Med Biol Eng Comput"],"published-print":{"date-parts":[[2021,1]]},"DOI":"10.1007\/s11517-020-02283-w","type":"journal-article","created":{"date-parts":[[2021,1,8]],"date-time":"2021-01-08T00:08:14Z","timestamp":1610064494000},"page":"227-242","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Smoothed particle hydrodynamics simulation of biphasic soft tissue and its medical applications"],"prefix":"10.1007","volume":"59","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7750-8767","authenticated-orcid":false,"given":"Yi-Jui","family":"Chang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peyman","family":"Benharash","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Erik P.","family":"Dutson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jeff D.","family":"Eldredge","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,1,8]]},"reference":[{"key":"2283_CR1","doi-asserted-by":"crossref","unstructured":"Cowin S C, Doty S B (2007) Tissue mechanics. Springer Science & Business Media","DOI":"10.1007\/978-0-387-49985-7"},{"issue":"4","key":"2283_CR2","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1007\/s10237-009-0186-x","volume":"9","author":"T Ricken","year":"2010","unstructured":"Ricken T, Dahmen U, Dirsch O (2010) A biphasic model for sinusoidal liver perfusion remodeling after outflow obstruction. Biomech Model Mechanobiol 9(4):435\u2013450","journal-title":"Biomech Model Mechanobiol"},{"issue":"8","key":"2283_CR3","doi-asserted-by":"publisher","first-page":"861","DOI":"10.1080\/10255842.2013.853754","volume":"18","author":"W Ehlers","year":"2015","unstructured":"Ehlers W, Wagner A (2015) Multi-component modelling of human brain tissue: a contribution to the constitutive and computational description of deformation, flow and diffusion processes with application to the invasive drug-delivery problem. Comput Methods Biomech Biomed Engin 18(8):861\u2013879","journal-title":"Comput Methods Biomech Biomed Engin"},{"key":"2283_CR4","doi-asserted-by":"crossref","unstructured":"Chong K, Jiang C, Ram D, Santhanam A, Terzopoulos D, Benharash P, Dutson E, Teran J, Eldredge J D (2017) Visualization of vascular injuries in extremity trauma. Med Biol Eng Comput 1\u201310","DOI":"10.1007\/s11517-017-1619-9"},{"key":"2283_CR5","doi-asserted-by":"publisher","first-page":"214","DOI":"10.1016\/j.jmbbm.2017.11.023","volume":"78","author":"R Behrou","year":"2018","unstructured":"Behrou R, Foroughi H, Haghpanah F (2018) Numerical study of temperature effects on the poro-viscoelastic behavior of articular cartilage. J Mech Behav Biomed Mater 78:214\u2013223","journal-title":"J Mech Behav Biomed Mater"},{"issue":"2","key":"2283_CR6","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1063\/1.1712886","volume":"12","author":"MA Biot","year":"1941","unstructured":"Biot M A (1941) General theory of three-dimensional consolidation. J Appl Phys 12(2):155\u2013164","journal-title":"J Appl Phys"},{"key":"2283_CR7","doi-asserted-by":"crossref","unstructured":"Detournay E, Cheng A H -D (1993) Fundamentals of poroelasticity. In: Analysis and design methods: comprehensive rock engineering: principles, practice and projects. Elsevier, vol 2, p 113","DOI":"10.1016\/B978-0-08-040615-2.50011-3"},{"issue":"9","key":"2283_CR8","doi-asserted-by":"publisher","first-page":"1129","DOI":"10.1016\/0020-7225(80)90114-7","volume":"18","author":"RM Bowen","year":"1980","unstructured":"Bowen R M (1980) Incompressible porous media models by use of the theory of mixtures. Int J Eng Sci 18(9):1129\u20131148","journal-title":"Int J Eng Sci"},{"issue":"1","key":"2283_CR9","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1115\/1.3138202","volume":"102","author":"VC Mow","year":"1980","unstructured":"Mow V C, Kuei S C, Lai W M, Armstrong C G (1980) Biphasic creep and stress relaxation of articular cartilage in compression: theory and experiments. J Biomech Eng 102(1):73\u201384","journal-title":"J Biomech Eng"},{"issue":"11","key":"2283_CR10","doi-asserted-by":"publisher","first-page":"1343","DOI":"10.1016\/0020-7225(83)90132-5","volume":"21","author":"R De Boer","year":"1983","unstructured":"De Boer R, Kowalski S J (1983) A plasticity theory for fluid-saturated porous solids. Int J Eng Sci 21(11):1343\u20131357","journal-title":"Int J Eng Sci"},{"issue":"11","key":"2283_CR11","doi-asserted-by":"publisher","first-page":"1231","DOI":"10.1016\/0020-7683(86)90078-8","volume":"22","author":"R De Boer","year":"1986","unstructured":"De Boer R, Ehlers W (1986) On the problem of fluid-and gas-filled elasto-plastic solids. Int J Solids Struct 22(11):1231\u20131242","journal-title":"Int J Solids Struct"},{"key":"2283_CR12","doi-asserted-by":"crossref","unstructured":"De Boer R (2006) Trends in continuum mechanics of porous media. Springer Science & Business Media, vol 18","DOI":"10.1007\/1-4020-3144-0"},{"issue":"1","key":"2283_CR13","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1016\/j.commatsci.2006.03.025","volume":"39","author":"T Ricken","year":"2007","unstructured":"Ricken T, Schwarz A, Bluhm J (2007) A triphasic model of transversely isotropic biological tissue with applications to stress and biologically induced growth. Comput Mater Sci 39(1):124\u2013136","journal-title":"Comput Mater Sci"},{"issue":"1","key":"2283_CR14","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1007\/s00466-009-0452-x","volume":"46","author":"D Chapelle","year":"2010","unstructured":"Chapelle D, Gerbeau J -F, Sainte-Marie J, Vignon-Clementel I E (2010) A poroelastic model valid in large strains with applications to perfusion in cardiac modeling. Comput Mech 46(1):91\u2013101","journal-title":"Comput Mech"},{"issue":"29-32","key":"2283_CR15","doi-asserted-by":"publisher","first-page":"2024","DOI":"10.1016\/j.cma.2010.03.003","volume":"199","author":"RA Regueiro","year":"2010","unstructured":"Regueiro R A, Ebrahimi D (2010) Implicit dynamic three-dimensional finite element analysis of an inelastic biphasic mixture at finite strain: part 1: application to a simple geomaterial. Comput Methods Appl Mech Eng 199(29-32):2024\u20132049","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"3","key":"2283_CR16","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1093\/mnras\/181.3.375","volume":"181","author":"RA Gingold","year":"1977","unstructured":"Gingold R A, Monaghan J J (1977) Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon Not R Astron Soc 181(3):375\u2013389","journal-title":"Mon Not R Astron Soc"},{"key":"2283_CR17","doi-asserted-by":"crossref","unstructured":"Libersky L D, Petschek A G (1991) Smooth particle hydrodynamics with strength of materials. In: Advances in the free-lagrange method including contributions on adaptive gridding and the smooth particle hydrodynamics method. Springer, pp 248\u2013257","DOI":"10.1007\/3-540-54960-9_58"},{"issue":"2","key":"2283_CR18","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1086\/313100","volume":"116","author":"JM Owen","year":"1998","unstructured":"Owen J M, Villumsen J V, Shapiro P R, Martel H (1998) Adaptive smoothed particle hydrodynamics: methodology. II. Astrophys J Suppl Ser 116(2):155","journal-title":"Astrophys J Suppl Ser"},{"issue":"2","key":"2283_CR19","doi-asserted-by":"publisher","first-page":"290","DOI":"10.1006\/jcph.2000.6439","volume":"159","author":"JJ Monaghan","year":"2000","unstructured":"Monaghan J J (2000) SPH without a tensile instability. J Comput Phys 159(2):290\u2013311","journal-title":"J Comput Phys"},{"issue":"49","key":"2283_CR20","doi-asserted-by":"publisher","first-page":"6641","DOI":"10.1016\/S0045-7825(01)00254-7","volume":"190","author":"JP Gray","year":"2001","unstructured":"Gray J P, Monaghan J J, Swift R P (2001) SPH elastic dynamics. Comput Methods Appl Mech Eng 190(49):6641\u20136662","journal-title":"Comput Methods Appl Mech Eng"},{"key":"2283_CR21","doi-asserted-by":"crossref","unstructured":"Liu G -R, Liu M B (2003) Smoothed particle hydrodynamics: a meshfree particle method. World Scientific","DOI":"10.1142\/9789812564405"},{"key":"2283_CR22","unstructured":"M\u00fcller M, Charypar D, Gross M (2003) Particle-based fluid simulation for interactive applications. In: Proceedings of the 2003 ACM SIGGRAPH\/Eurographics symposium on computer animation. Eurographics association, pp 154\u2013159"},{"key":"2283_CR23","unstructured":"Kelager M (2006) Lagrangian fluid dynamics using smoothed particle hydrodynamics. Master\u2019s thesis, University of Copenhagen"},{"key":"2283_CR24","doi-asserted-by":"publisher","first-page":"21","DOI":"10.2324\/ejsm.3.21","volume":"3","author":"Y Kawashima","year":"2007","unstructured":"Kawashima Y, Sakai Y (2007) Large deformation analysis of hyperelastic materials using SPH method. e-Journal of Soft Materials 3:21\u201328","journal-title":"e-Journal of Soft Materials"},{"issue":"7","key":"2283_CR25","doi-asserted-by":"publisher","first-page":"787","DOI":"10.1016\/S0309-1708(03)00030-7","volume":"26","author":"S Shao","year":"2003","unstructured":"Shao S, Lo E Y M (2003) Incompressible SPH method for simulating Newtonian and non-Newtonian flows with a free surface. Adv Water Resour 26(7):787\u2013800","journal-title":"Adv Water Resour"},{"issue":"3","key":"2283_CR26","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1007\/s11242-007-9199-z","volume":"74","author":"M Vakilha","year":"2008","unstructured":"Vakilha M, Manzari M T (2008) Modelling of power-law fluid flow through porous media using smoothed particle hydrodynamics. Transp Porous Media 74(3):331\u2013346","journal-title":"Transp Porous Media"},{"issue":"1","key":"2283_CR27","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/j.jnnfm.2005.08.012","volume":"132","author":"M Ellero","year":"2005","unstructured":"Ellero M, Tanner R I (2005) SPH Simulations of transient viscoelastic flows at low Reynolds number. J Non-Newtonian Fluid Mech 132(1):61\u201372","journal-title":"J Non-Newtonian Fluid Mech"},{"issue":"10","key":"2283_CR28","doi-asserted-by":"publisher","first-page":"1210","DOI":"10.1016\/j.ijnonlinmec.2007.09.006","volume":"42","author":"A Rafiee","year":"2007","unstructured":"Rafiee A, Manzari M T, Hosseini M (2007) An incompressible SPH method for simulation of unsteady viscoelastic free-surface flows. Int J Non Linear Mech 42(10):1210\u20131223","journal-title":"Int J Non Linear Mech"},{"key":"2283_CR29","doi-asserted-by":"crossref","unstructured":"Behley J, Steinhage V, Cremers A B (2015) Efficient radius neighbor search in three-dimensional point clouds. In: 2015 IEEE International conference on robotics and automation (ICRA). IEEE, pp 3625\u20133630","DOI":"10.1109\/ICRA.2015.7139702"},{"issue":"2","key":"2283_CR30","doi-asserted-by":"publisher","first-page":"566","DOI":"10.1016\/j.jcp.2005.11.017","volume":"215","author":"IF Sbalzarini","year":"2006","unstructured":"Sbalzarini I F, Walther J H, Bergdorf M, Hieber S E, Kotsalis E M, Koumoutsakos P (2006) PPM\u2013a highly efficient parallel particle\u2013mesh library for the simulation of continuum systems. J Comput Phys 215(2):566\u2013588","journal-title":"J Comput Phys"},{"key":"2283_CR31","doi-asserted-by":"crossref","unstructured":"Sbalzarini I F, Walther J H, Polasek B, Chatelain P, Bergdorf M, Hieber S E, Kotsalis E M, Koumoutsakos P (2006) A software framework for the portable parallelization of particle-mesh simulations. In: European conference on parallel processing. Springer, pp 730\u2013739","DOI":"10.1007\/11823285_76"},{"key":"2283_CR32","doi-asserted-by":"crossref","unstructured":"Harada T, Koshizuka S, Kawaguchi Y (2007) Smoothed particle hydrodynamics on GPUs. In: Computer graphics international. SBC petropolis, vol 40, pp 63\u201370","DOI":"10.1145\/2614348.2614375"},{"issue":"6","key":"2283_CR33","doi-asserted-by":"publisher","first-page":"e20685","DOI":"10.1371\/journal.pone.0020685","volume":"6","author":"AC Crespo","year":"2011","unstructured":"Crespo A C, Dominguez J M, Barreiro A, G\u00f3mez-Gesteira M, Rogers B D (2011) GPUS, a new tool of acceleration in CFD: efficiency and reliability on smoothed particle hydrodynamics methods. PLoS One 6(6):e20685","journal-title":"PLoS One"},{"key":"2283_CR34","doi-asserted-by":"crossref","unstructured":"Ihmsen M, Akinci N, Becker M, Teschner M (2011) A parallel SPH implementation on multi-core cpus. In: Computer graphics forum. Wiley Online Library, vol 30, pp 99\u2013112","DOI":"10.1111\/j.1467-8659.2010.01832.x"},{"issue":"8","key":"2283_CR35","doi-asserted-by":"publisher","first-page":"1848","DOI":"10.1016\/j.cpc.2013.03.008","volume":"184","author":"JM Dom\u00ednguez","year":"2013","unstructured":"Dom\u00ednguez J M, Crespo A J C, Valdez-Balderas D, Rogers B D, G\u00f3mez-Gesteira M (2013) New multi-GPU implementation for smoothed particle hydrodynamics on heterogeneous clusters. Comput Phys Commun 184(8):1848\u20131860","journal-title":"Comput Phys Commun"},{"key":"2283_CR36","doi-asserted-by":"publisher","first-page":"204","DOI":"10.1016\/j.cpc.2014.10.004","volume":"187","author":"AJC Crespo","year":"2015","unstructured":"Crespo A J C, Dom\u00ednguez J M, Rogers B D, G\u00f3mez-Gesteira M, Longshaw S, Canelas R, Vacondio R, Barreiro A, Garc\u00eda-Feal O (2015) DualSPHysics: open-source parallel CFD solver based on smoothed particle hydrodynamics (SPH). Comput Phys Commun 187:204\u2013216","journal-title":"Comput Phys Commun"},{"issue":"3","key":"2283_CR37","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1145\/1531326.1531346","volume":"28","author":"B Solenthaler","year":"2009","unstructured":"Solenthaler B, Pajarola R (2009) Predictive-corrective incompressible SPH. ACM Trans Graph 28(3):40","journal-title":"ACM Trans Graph"},{"issue":"1","key":"2283_CR38","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1007\/s13160-011-0028-y","volume":"28","author":"H Takamiya","year":"2011","unstructured":"Takamiya H, Okada H, Sakai Y, Fukui Y (2011) Smoothed particle hydrodynamics analysis on semi-solid metal forming process. Jpn J Ind Appl Math 28(1):183\u2013203","journal-title":"Jpn J Ind Appl Math"},{"issue":"1","key":"2283_CR39","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1002\/cnm.2591","volume":"30","author":"B Gholami","year":"2014","unstructured":"Gholami B, Comerford A, Ellero M (2014) A multiscale SPH particle model of the near-wall dynamics of leukocytes in flow. Int J Numer Methods Biomed Eng 30(1):83\u2013102","journal-title":"Int J Numer Methods Biomed Eng"},{"issue":"2","key":"2283_CR40","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1186\/s12938-016-0256-0","volume":"15","author":"H-N Polwaththe-Gallage","year":"2016","unstructured":"Polwaththe-Gallage H -N, Saha S C, Sauret E, Flower R, Senadeera W, Gu Y (2016) SPH-DEM approach to numerically simulate the deformation of three-dimensional RBCs in non-uniform capillaries. Biomed Eng Online 15(2):161","journal-title":"Biomed Eng Online"},{"issue":"1","key":"2283_CR41","first-page":"1","volume":"1","author":"M Toma","year":"2017","unstructured":"Toma M (2017) The emerging use of SPH in biomedical applications. Significances Bioeng Biosci 1(1):1\u20134","journal-title":"Significances Bioeng Biosci"},{"issue":"4","key":"2283_CR42","doi-asserted-by":"publisher","first-page":"105","DOI":"10.1145\/3072959.3073651","volume":"36","author":"AP Tampubolon","year":"2017","unstructured":"Tampubolon A P, Gast T, Kl\u00e1r G, Fu C, Teran J, Jiang C, Museth K (2017) Multi-species simulation of porous sand and water mixtures. ACM Trans Graph 36(4):105","journal-title":"ACM Trans Graph"},{"issue":"2","key":"2283_CR43","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1080\/13588265.2018.1550910","volume":"25","author":"M Toma","year":"2020","unstructured":"Toma M, Nguyen P D H (2020) Coup-contrecoup brain injury: fluid\u2013structure interaction simulations. International Journal of Crashworthiness 25(2):175\u2013182","journal-title":"International Journal of Crashworthiness"},{"issue":"1","key":"2283_CR44","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1016\/0020-7683(90)90093-B","volume":"26","author":"R De Boer","year":"1990","unstructured":"De Boer R, Ehlers W (1990) Uplift, friction and capillarity: three fundamental effects for liquid-saturated porous solids. Int J Solids Struct 26(1):43\u201357","journal-title":"Int J Solids Struct"},{"issue":"3","key":"2283_CR45","doi-asserted-by":"publisher","first-page":"704","DOI":"10.1016\/j.commatsci.2003.08.032","volume":"28","author":"T Ricken","year":"2003","unstructured":"Ricken T, De Boer R (2003) Multiphase flow in a capillary porous medium. Comput Mater Sci 28(3):704\u2013713","journal-title":"Comput Mater Sci"},{"issue":"2","key":"2283_CR46","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1023\/B:TIPM.0000021731.14083.7f","volume":"56","author":"R de Boer","year":"2004","unstructured":"de Boer R, Didwania A K (2004) Two-phase flow and the capillarity phenomenon in porous solids\u2013a continuum thermomechanical approach. Transp Porous Media 56(2):137\u2013170","journal-title":"Transp Porous Media"},{"issue":"5","key":"2283_CR47","doi-asserted-by":"publisher","first-page":"418","DOI":"10.1115\/1.1388292","volume":"123","author":"W Ehlers","year":"2001","unstructured":"Ehlers W, Markert B (2001) A linear viscoelastic biphasic model for soft tissues based on the theory of porous media. J Biomech Eng 123(5):418\u2013424","journal-title":"J Biomech Eng"},{"issue":"6","key":"2283_CR48","doi-asserted-by":"publisher","first-page":"787","DOI":"10.1007\/BF02345212","volume":"42","author":"C Chui","year":"2004","unstructured":"Chui C, Kobayashi E, Chen X, Hisada T, Sakuma I (2004) Combined compression and elongation experiments and non-linear modelling of liver tissue for surgical simulation. Med Biol Eng Comput 42 (6):787\u2013798","journal-title":"Med Biol Eng Comput"},{"issue":"1","key":"2283_CR49","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1007\/s11517-006-0137-y","volume":"45","author":"C Chui","year":"2007","unstructured":"Chui C, Kobayashi E, Chen X, Hisada T, Sakuma I (2007) Transversely isotropic properties of porcine liver tissue: experiments and constitutive modelling. Med Biol Eng Comput 45(1):99\u2013106","journal-title":"Med Biol Eng Comput"},{"issue":"2","key":"2283_CR50","doi-asserted-by":"publisher","first-page":"192","DOI":"10.1016\/j.jmbbm.2008.08.006","volume":"2","author":"P Jordan","year":"2009","unstructured":"Jordan P, Socrate S, Zickler T E, Howe R D (2009) Constitutive modeling of porcine liver in indentation using 3D ultrasound imaging. J Mech Behav Biomed Mater 2(2):192\u2013201","journal-title":"J Mech Behav Biomed Mater"},{"issue":"2","key":"2283_CR51","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1007\/s10439-009-9812-0","volume":"38","author":"Z Gao","year":"2010","unstructured":"Gao Z, Lister K, Desai J P (2010) Constitutive modeling of liver tissue: experiment and theory. Ann Biomed Eng 38(2):505\u2013516","journal-title":"Ann Biomed Eng"},{"issue":"9","key":"2283_CR52","doi-asserted-by":"publisher","first-page":"1678","DOI":"10.1016\/j.jbiomech.2011.03.029","volume":"44","author":"S Umale","year":"2011","unstructured":"Umale S, Chatelin S, Bourdet N, Deck C, Diana M, Dhumane P, Soler L, Marescaux J, Willinger R (2011) Experimental in vitro mechanical characterization of porcine Glisson\u2019s capsule and hepatic veins. J Biomech 44(9):1678\u20131683","journal-title":"J Biomech"},{"issue":"3","key":"2283_CR53","doi-asserted-by":"publisher","first-page":"1060","DOI":"10.1007\/s10439-010-0227-8","volume":"39","author":"K Lister","year":"2011","unstructured":"Lister K, Gao Z, Desai J P (2011) Development of in vivo constitutive models for liver: application to surgical simulation. Ann Biomed Eng 39(3):1060\u20131073","journal-title":"Ann Biomed Eng"},{"key":"2283_CR54","doi-asserted-by":"publisher","first-page":"22","DOI":"10.1016\/j.jmbbm.2012.07.010","volume":"17","author":"S Umale","year":"2013","unstructured":"Umale S, Deck C, Bourdet N, Dhumane P, Soler L, Marescaux J, Willinger R (2013) Experimental mechanical characterization of abdominal organs: liver, kidney & spleen. J Mech Behav Biomed Mater 17:22\u201333","journal-title":"J Mech Behav Biomed Mater"},{"issue":"9","key":"2283_CR55","doi-asserted-by":"publisher","first-page":"582","DOI":"10.1063\/1.1712836","volume":"11","author":"M Mooney","year":"1940","unstructured":"Mooney M (1940) A theory of large elastic deformation. J Appl Phys 11(9):582\u2013592","journal-title":"J Appl Phys"},{"issue":"835","key":"2283_CR56","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1098\/rsta.1948.0024","volume":"241","author":"RS Rivlin","year":"1948","unstructured":"Rivlin R S (1948) Large elastic deformations of isotropic materials. IV. Further developments of the general theory. Philos Trans R Soc Lond A: Math Phys Eng Sci 241(835):379\u2013397","journal-title":"Philos Trans R Soc Lond A: Math Phys Eng Sci"},{"key":"2283_CR57","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1146\/annurev-astro-081309-130914","volume":"48","author":"V Springel","year":"2010","unstructured":"Springel V (2010) Smoothed particle hydrodynamics in astrophysics. Annu Rev Astron Astrophys 48:391\u2013430","journal-title":"Annu Rev Astron Astrophys"},{"issue":"1","key":"2283_CR58","doi-asserted-by":"publisher","first-page":"6","DOI":"10.1088\/0004-637X\/800\/1\/6","volume":"800","author":"Q Zhu","year":"2015","unstructured":"Zhu Q, Hernquist L, Li Y (2015) Numerical convergence in smoothed particle hydrodynamics. Astrophys J 800(1):6","journal-title":"Astrophys J"},{"key":"2283_CR59","doi-asserted-by":"crossref","unstructured":"Ahrens J, Geveci B, Law C (2005) Paraview: an end-user tool for large data visualization. The Visualization Handbook 717","DOI":"10.1016\/B978-012387582-2\/50038-1"},{"key":"2283_CR60","unstructured":"Ayachit U (2015) The paraview guide: a parallel visualization application. Kitware Inc."}],"container-title":["Medical &amp; Biological Engineering &amp; Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-020-02283-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11517-020-02283-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11517-020-02283-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,28]],"date-time":"2023-01-28T00:07:29Z","timestamp":1674864449000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11517-020-02283-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":60,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["2283"],"URL":"https:\/\/doi.org\/10.1007\/s11517-020-02283-w","relation":{},"ISSN":["0140-0118","1741-0444"],"issn-type":[{"value":"0140-0118","type":"print"},{"value":"1741-0444","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"25 March 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 October 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 January 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}