Squeezing flow of collagen solution – Mathematical model of shear and elastic behavior

Author(s):  
Aleš Landfeld ◽  
Rudolf Žitný ◽  
Jan Skočilas ◽  
Jaromír Štancl ◽  
Martin Dostál ◽  
...  
2018 ◽  
Author(s):  
M. A. Caporizzo ◽  
C. Y. Chen ◽  
A. K. Salomon ◽  
K. Bedi ◽  
K. B. Margulies ◽  
...  

ABSTRACTBackgroundMicrotubules (MT) buckle and bear load during myocyte contraction, a behavior enhanced by post-translational detyrosination. This buckling suggests a spring-like resistance against myocyte shortening, which could store energy and aid myocyte relaxation. Despite this visual suggesting of elastic behavior, the precise mechanical contribution of the cardiac MT network remains to be defined.MethodsHere we experimentally and computationally probe the mechanical contribution of stable microtubules and their influence on myocyte function. We use multiple approaches to interrogate viscoelasticity and cell shortening in primary murine myocytes where either MTs are depolymerized or detyrosination is suppressed, and use the results to inform a mathematical model of myocyte viscoelasticity.ResultsMT ablation by colchicine concurrently enhances both the degree of shortening and speed of relaxation, a finding inconsistent with simple spring-like microtubule behavior, and suggestive of a viscoelastic mechanism. Axial stretch and transverse indentation confirm that microtubules increase myocyte viscoelasticity. Specifically, increasing the rate of strain amplifies the MT contribution to myocyte stiffness. Suppressing MT detyrosination with parthenolide or via overexpression of tubulin tyrosine ligase (TTL) has mechanical consequences that closely resemble colchicine, suggesting that the mechanical impact of MTs relies on a detyrosination-dependent linkage with the myocyte cytoskeleton. Mathematical modeling affirms that alterations in cell shortening conferred by either MT destabilization or tyrosination can be attributed to internal changes in myocyte viscoelasticity.ConclusionsThe results suggest that the cardiac MT network regulates contractile amplitudes and kinetics by acting as a cytoskeletal shock-absorber, whereby MTs provide breakable cross-links between the sarcomeric and non-sarcomeric cytoskeleton that resist rapid length changes during both shortening and stretch.


2005 ◽  
Vol 8 (1) ◽  
pp. 99-103 ◽  
Author(s):  
Zoroastro de Miranda Boari ◽  
Waldemar Alfredo Monteiro ◽  
Carlos Alexandre de Jesus Miranda

1971 ◽  
Vol 93 (1) ◽  
pp. 268-272 ◽  
Author(s):  
R. C. Winfrey

An improved mathematical model of a mechanism is described whereby the elastic deformations of its links are determined. A method of solving for these deflections is presented along with examples of the elastic behavior of both plane and space mechanisms. Finally, the dynamic forces in a mechanism are discussed and one example given.


1973 ◽  
Vol 10 (6) ◽  
pp. 961-978 ◽  
Author(s):  
D. S. Matheson ◽  
S. Thomson

An air photo survey along some rivers in Central Alberta revealed the frequent occurrence of a raised valley rim in the ground surface adjacent to valleys where postglacial channels were incised through a region of low topographic relief. Subsequent more detailed studies lead to the conclusion that, in large part, these features are due to elastic rebound of the rock into which the valley has been eroded. Rebound of the valley floor occurs due to vertical stress relief and gives rise to a gentle anticlinal structure. This structure and the upwarping of the beds in the valley walls can be predicted by a mathematical model based on elastic behavior and incorporating modifications to deal with stratified rock masses.Evidence of valley rebound was noted at the sites investigated and typical cases are presented. The amount of rebound varies with the modulus of elasticity of the rock and may be as much as 10% of the valley depth.The upwarping of the beds will locally influence the dip of the beds. The rebound should be accompanied by interbed slip which would give rise to gouge zones. If these gouge zones occur near the base of the valley walls, they will have an important bearing on landslide activity. The raised valley rim has other geomorphological implications.


Author(s):  
A. Lawley ◽  
M. R. Pinnel ◽  
A. Pattnaik

As part of a broad program on composite materials, the role of the interface on the micromechanics of deformation of metal-matrix composites is being studied. The approach is to correlate elastic behavior, micro and macroyielding, flow, and fracture behavior with associated structural detail (dislocation substructure, fracture characteristics) and stress-state. This provides an understanding of the mode of deformation from an atomistic viewpoint; a critical evaluation can then be made of existing models of composite behavior based on continuum mechanics. This paper covers the electron microscopy (transmission, fractography, scanning microscopy) of two distinct forms of composite material: conventional fiber-reinforced (aluminum-stainless steel) and directionally solidified eutectic alloys (aluminum-copper). In the former, the interface is in the form of a compound and/or solid solution whereas in directionally solidified alloys, the interface consists of a precise crystallographic boundary between the two constituents of the eutectic.


2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  

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