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Fibrosis and inflammation scores were obtained from liver biopsies. Biomechanical properties were quantified in terms of complex shear modulus <jats:styled-content><jats:italic>G<\/jats:italic><jats:sup>*<\/jats:sup><\/jats:styled-content> as well as shear wave phase velocity <jats:styled-content><jats:italic>c<\/jats:italic><\/jats:styled-content> and shear wave attenuation <jats:styled-content><jats:italic>\u03b1<\/jats:italic><\/jats:styled-content>. A rheological fractional derivative order model was used to investigate the linear dependence of the free model parameters (dispersion slope <jats:styled-content><jats:italic>y<\/jats:italic><\/jats:styled-content>, intrinsic speed <jats:styled-content><jats:italic>c<\/jats:italic><jats:sub>0<\/jats:sub><\/jats:styled-content>, and intrinsic relaxation time <jats:styled-content><jats:italic>\u03c4<\/jats:italic><\/jats:styled-content>) on histopathology. Leave\u2010one\u2010out cross\u2010validation was then utilized to demonstrate the effectiveness of the model.<\/jats:p><jats:p>The intrinsic speed <jats:styled-content><jats:italic>c<\/jats:italic><jats:sub>0<\/jats:sub><\/jats:styled-content> increases with hepatic fibrosis, while an increased relaxation time <jats:styled-content><jats:italic>\u03c4<\/jats:italic><\/jats:styled-content> is reflective of more inflammation of the liver parenchyma. The dispersion slope <jats:styled-content><jats:italic>y<\/jats:italic><\/jats:styled-content> does not depend either on fibrosis or on inflammation. The proposed rheological model, given this specific parameterization, establishes the functional dependences of biomechanical parameters on histological fibrosis and inflammation. The leave\u2010one\u2010out cross\u2010validation demonstrates that the model allows identification, from the MRE measurements, of the histology scores when grouped into low\u2212\/high\u2010grade fibrosis and low\u2212\/high\u2010grade inflammation with significance levels of <jats:italic>P<\/jats:italic>\u00a0=\u00a00.0004 (fibrosis) and <jats:italic>P<\/jats:italic>\u00a0=\u00a00.035 (inflammation).<\/jats:p><jats:p>The functional dependences of intrinsic speed and relaxation time on fibrosis and inflammation, respectively, shed new light onto the impact hepatic pathological changes on liver tissue biomechanics in humans. The dispersion slope <jats:styled-content><jats:italic>y<\/jats:italic><\/jats:styled-content> appears to represent a structural parameter of liver parenchyma not impacted by the severity of fibrosis\/inflammation present in this patient cohort. This specific parametrization of the well\u2010established rheological fractional order model is valuable for the clinical assessment of both fibrosis and inflammation scores, going beyond the capability of the plain shear modulus measurement commonly used for MRE.<\/jats:p>","DOI":"10.1002\/nbm.3956","type":"journal-article","created":{"date-parts":[[2018,7,30]],"date-time":"2018-07-30T10:59:57Z","timestamp":1532948397000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":41,"title":["Rheological determinants for simultaneous staging of hepatic fibrosis and inflammation in patients with chronic liver disease"],"prefix":"10.1002","volume":"31","author":[{"given":"Ralph","family":"Sinkus","sequence":"first","affiliation":[{"name":"Inserm U1148, LVTS, University Paris Diderot University Paris 13  Paris France"},{"name":"King's College London, BHF Centre of Excellence, Division of Imaging Sciences and Biomedical Engineering  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