ELIZA

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663834 occurrences (No.9 in the rank) during 5 years in the PubMed. [no cache] 500 found

328) Furthermore, the finite element simulations of a heart cycle carried out with the proposed model show significant deviations in the strain field relative to the elastic solution.

--- ABSTRACT ---

PMID:24533658 DOI:10.1111/ppe.12110

2015 Computer methods in biomechanics and biomedical engineering

* An orthotropic viscoelastic material model for passive myocardium: theory and algorithmic treatment.

- This contribution presents a novel constitutive model in order to simulate an orthotropic rate-dependent behaviour of the passive myocardium at finite strains. The motivation for the consideration of orthotropic viscous effects in a constitutive level lies in the disagreement between theoretical predictions and experimentally observed results. In view of experimental observations, the material is deemed as nearly incompressible, hyperelastic, orthotropic and viscous. The viscoelastic response is formulated by means of a rheological model consisting of a spring coupled with a Maxwell element in parallel. In this context, the isochoric free energy function is decomposed into elastic equilibrium and viscous non-equilibrium parts. The baseline elastic response is modelled by the orthotropic model of Holzapfel and Ogden [Holzapfel GA, Ogden RW. 2009. Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Philos Trans Roy Soc A Math Phys Eng Sci. 367:3445-3475]. The essential aspect of the proposed model is the account of distinct relaxation mechanisms for each orientation direction. To this end, the non-equilibrium response of the free energy function is constructed in the logarithmic strain space and additively decomposed into three anisotropic parts, denoting fibre, sheet and normal directions each accompanied by a distinct dissipation potential governing the evolution of viscous strains associated with each orientation direction. The evolution equations governing the viscous flow have an energy-activated nonlinear form. The energy storage in the Maxwell branches has a quadratic form leading to a linear stress-strain response in the logarithmic strain space. On the numerical side, the algorithmic aspects suitable for the implicit finite element method are discussed in a Lagrangian setting. The model shows excellent agreement compared to experimental data obtained from the literature. Furthermore, the finite element simulations of a heart cycle carried out with the proposed model show significant deviations in the strain field relative to the elastic solution.

--- ABSTRACT END ---

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(1)255 that	(9)5 here	(17)3 different	(25)2 differences
(2)30 a	(10)5 promise	(18)3 risk	(26)2 differential
(3)24 the	(11)4 by	(19)3 statistically	(27)2 for
(4)13 how	(12)4 greater	(20)3 such	(28)2 great
(5)13 significant	(13)4 higher	(21)2 null	(29)2 important
(6)8 any	(14)4 increased	(22)2 beneficial	(30)2 lower
(7)8 that,	(15)4 more	(23)2 changes
(8)7 an	(16)4 similar	(24)2 clinical

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--- WordNet output for show --- =>教える, 見せること, 展覧会, 見世物, 外観, を見せる, を案内する, を明らかにする, 見える Overview of noun show The noun show has 4 senses (first 2 from tagged texts) 1. (18) show -- (the act of publicly exhibiting or entertaining; "a remarkable show of skill") 2. (9) display, show -- (something intended to communicate a particular impression; "made a display of strength"; "a show of impatience"; "a good show of looking interested") 3. show -- (a social event involving a public performance or entertainment; "they wanted to see some of the shows on Broadway") 4. appearance, show -- (pretending that something is the case in order to make a good impression; "they try to keep up appearances"; "that ceremony is just for show") Overview of verb show The verb show has 12 senses (first 11 from tagged texts) 1. (136) show, demo, exhibit, present, demonstrate -- (give an exhibition of to an interested audience; "She shows her dogs frequently"; "We will demo the new software in Washington") 2. (63) prove, demonstrate, establish, show, shew -- (establish the validity of something, as by an example, explanation or experiment; "The experiment demonstrated the instability of the compound"; "The mathematician showed the validity of the conjecture") 3. (57) testify, bear witness, prove, evidence, show -- (provide evidence for; "The blood test showed that he was the father"; "Her behavior testified to her incompetence") 4. (43) show -- (make visible or noticeable; "She showed her talent for cooking"; "Show me your etchings, please") 5. (32) picture, depict, render, show -- (show in, or as in, a picture; "This scene depicts country life"; "the face of the child is rendered with much tenderness in this painting") 6. (24) express, show, evince -- (give expression to; "She showed her disappointment") 7. (24) indicate, point, designate, show -- (indicate a place, direction, person, or thing; either spatially or figuratively; "I showed the customer the glove section"; "He pointed to the empty parking space"; "he indicated his opponents") 8. (11) show, show up -- (be or become visible or noticeable; "His good upbringing really shows"; "The dirty side will show") 9. (7) read, register, show, record -- (indicate a certain reading; of gauges and instruments; "The thermometer showed thirteen degrees below zero"; "The gauge read `empty'") 10. (6) show -- (give evidence of, as of records; "The diary shows his distress that evening") 11. (2) usher, show -- (take (someone) to their seats, as in theaters or auditoriums; "The usher showed us to our seats") 12. show -- (finish third or better in a horse or dog race; "he bet $2 on number six to show") --- WordNet end ---