scholarly journals Simultaneous elastic shape optimization for a domain splitting in bone tissue engineering

Author(s):  
Patrick Dondl ◽  
Patrina S. P. Poh ◽  
Martin Rumpf ◽  
Stefan Simon

This paper deals with the simultaneous optimization of a subset O 0 of some domain Ω and its complement O 1 = Ω ∖ O 0 ¯ both considered as separate elastic objects subject to a set of loading scenarios. If one asks for a configuration which minimizes the maximal elastic cost functional both phases compete for space since elastic shapes usually get mechanically more stable when being enlarged. Such a problem arises in biomechanics where a bioresorbable polymer scaffold is implanted in place of lost bone tissue and in a regeneration phase, new bone tissue grows in the scaffold complement via osteogenesis. In fact, the polymer scaffold should be mechanically stable to bear loading in the early stage regeneration phase and at the same time, the new bone tissue grown in the complement of this scaffold should as well bear the loading. Here, this optimal subdomain splitting problem with appropriate elastic cost functionals is introduced and the existence of optimal two-phase configurations is established for a regularized formulation. Furthermore, based on a phase-field approximation, a finite-element discretization is derived. Numerical experiments are presented for the design of optimal periodic scaffold microstructure.

2021 ◽  
Vol 16 (1) ◽  
Author(s):  
Guanying Gao ◽  
Ruiqi Wu ◽  
Rongge Liu ◽  
Jianquan Wang ◽  
Yingfang Ao ◽  
...  

Abstract Background Recent studies have shown high expression levels of certain inflammatory, anabolic, and catabolic genes in the articular cartilage from the impingement zone of the hips with femoroacetabular impingement (FAI), representing an increased metabolic state. Nevertheless, little is known about the molecular properties of bone tissue from the impingement zone of hips with FAI. Methods Bone tissue samples from patients with early-stage cam-type FAI were collected during hip arthroscopy for treatment of cam-type FAI. Control bone tissue samples were collected from six patients who underwent total hip replacement because of a femoral neck fracture. Quantitative real-time polymerase chain reaction (PCR) was performed to determine the gene expression associated with inflammation and bone remodeling. The differences in the gene expression in bone tissues from the patients with early-stage cam-type FAI were also evaluated based on clinical parameters. Results In all, 12 patients with early-stage cam-type FAI and six patients in the control group were included in this study. Compared to the control samples, the bone tissue samples from patients with FAI showed higher expression levels of interleukin-6 (IL-6), alkaline phosphatase (ALP), receptor activator of nuclear factor-kB ligand (RANKL), and osteoprotegerin (OPG) (P < 0.05). IL-1 expression was detected only in the control group. On the other hand, there was no significant difference in IL-8 expression between the patients with FAI and the control group. The patients with FAI having a body mass index (BMI) of >24 kg/m2 showed higher ALP expression (P < 0.05). Further, the expression of IL-6 and ALP was higher in the patients with FAI in whom the lateral center-edge angle was >30° (P < 0.05). Conclusions Our results indicated the metabolic condition of bone tissues in patients with early-stage cam-type FAI differed from that of normal bone in the femoral head-neck junction. The expression levels of the genes associated with inflammation and bone remodeling were higher in the bone tissue of patients with early-stage cam-type FAI than in the patients with normal bone tissue.


2007 ◽  
Vol 551-552 ◽  
pp. 357-364 ◽  
Author(s):  
Roger Grimes ◽  
R.J. Dashwood ◽  
A. Dorban ◽  
M. Jackson ◽  
S. Katsas ◽  
...  

The early view of superplasticity was that it was a phenomenon that could only be exhibited by fine grained, two phase alloys. This effectively ruled out most alloys that possessed attractive service properties. The first material to demonstrate good superplastic properties from a virtually single phase microstructure was the Al-6%Cu-0.5%Zr, AA 2004 but this was followed by superplastic versions of AA7475, AA8090 and AA5083. Superplasticity was also demonstrated in magnesium based alloys at an early stage. More recently different grain control additions, such as scandium or erbium have been investigated and it has also been demonstrated that, in certain circumstances, aluminium simply with the addition of a grain controlling element can exhibit good superplastic behaviour. While conventional wisdom teaches that large fabricating strains are required to confer good superplastic properties in the sheet product, recent results with both aluminium and magnesium alloys cast doubt on this belief. Although, for many years, strip casting has appeared to provide an attractive semi-fabricating route for superplastic sheet problems with centre line segregation in alloys with a wide freezing range have precluded its use. It has been demonstrated that recent developments in strip casting enable production of alloys with as wide a freezing range as AA5182 to be cast with a fine, equiaxed grain structure across the strip thickness. The paper will review the state of these various developments and their implications for the manufacture of superplastic sheet materials.


Fuel ◽  
2018 ◽  
Vol 222 ◽  
pp. 193-206 ◽  
Author(s):  
Fansheng Huang ◽  
Yili Kang ◽  
Lijun You ◽  
Xiangchen Li ◽  
Zhenjiang You

2016 ◽  
Vol 258 ◽  
pp. 452-455 ◽  
Author(s):  
Victor V. Mykhas'kiv ◽  
Bohdan M. Stasyuk

Theoretical and experimental estimation of elastic properties of two-phase composites containing matrix material and arc-shaped cylindrical fibers is given. Theoretical aspect consists in hybrid micro-macro formulation of problem with consideration of two associated subproblems –nume­rical simulation of fiber influence on the representative volume element and effective strain-stress field approximation by the averaging procedures. Boundary element method is applied for the solution of micro-level subproblem as well as Mori-Tanaka model is adopted for the overall description of composite properties at the macro-level. Then interfacial displacements are involved into solution scheme only. The effective elastic moduli of arc-fiber-reinforced composites are analyzed for the different materials combinations and fiber fractions. For the validation of numerical results, the prismatic concrete specimen filled by the curvilinear shaped cylindrical steel fibers under compression is investigated experimentally. Comparison of theoretical and experimental data is made.


2020 ◽  
Vol 23 ◽  
pp. 111-118 ◽  
Author(s):  
Sreepadmini Ragunathan ◽  
Gopu Govindasamy ◽  
D.R. Raghul ◽  
M. Karuppaswamy ◽  
R.K. VijayachandraTogo

2014 ◽  
Vol 783-786 ◽  
pp. 72-77 ◽  
Author(s):  
Takayoshi Nakano ◽  
Aira Matsugaki ◽  
Takuya Ishimoto ◽  
Mitsuharu Todai ◽  
Ai Serizawa ◽  
...  

Bone microstructure is dominantly composed of anisotropic extracellular matrix (ECM) in which collagen fibers and epitaxially-oriented biological apatite (BAp) crystals are preferentially aligned depending on the bone anatomical position, resulting in exerting appropriate mechanical function. The regenerative bone in bony defects is however produced without the preferential alignment of collagen fibers and the c-axis of BAp crystals, and subsequently reproduced to recover toward intact alignment. Thus, it is necessary to produce the anisotropic bone-mimetic tissue for the quick recovery of original bone tissue and the related mechanical ability in the early stage of bone regeneration. Our group is focusing on the methodology for regulating the arrangement of bone cells, the following secretion of collagen and the self-assembled mineralization by oriented BAp crystallites. Cyclic stretching in vitro to bone cells, principal-stress loading in vivo on scaffolds, step formation by slip traces on Ti single crystal, surface modification by laser induced periodic surface structure (LIPSS), anisotropic collagen substrate with the different degree of orientation, etc. can dominate bone cell arrangement and lead to the construction of the oriented ECM similar to the bone tissue architecture. This suggests that stress/strain loading, surface topography and chemical anisotropy are useful to produce bone-like microstructure in order to promote the regeneration of anisotropic bone tissue and to understand the controlling parameters for anisotropic osteogenesis induction.


2015 ◽  
Vol 3 (43) ◽  
pp. 8558-8566 ◽  
Author(s):  
Nan Li ◽  
Chuan Jiang ◽  
Xingdi Zhang ◽  
Xinfeng Gu ◽  
Jingwei Zhang ◽  
...  

An rhBMP-2/MBG/CPC scaffold is beneficial for rapid bone tissue regeneration in the early stage.


Blood ◽  
2008 ◽  
Vol 112 (11) ◽  
pp. 2037-2037
Author(s):  
Eitan Fibach ◽  
Memet Aker

Abstract DBA is a congenital form of pure red cell anemia characterized by a macrocytic anemia, reticulocytopenia, and a block in erythroid differentiation at the proerythroblast stage, often in association with physical anomalies and growth retardation. About 25% of the patients carry mutations in genes that encode for proteins (RPS19, RPS24 and RPS17) that bind to the 40S subunit of the ribosome. The resultant defect in ribosomal biogenesis has been proposed to impair the initiation of globin translation, leading to mismatch between intracellular levels of heme and globin chains. It has been hypothesized that the transient excess of intracellular free heme resulting from the delay in globin synthesis exerts direct toxicity to erythroid precursors and plays a major role in pathogenesis of DBA through apoptosis of proerythroblasts (Keel et al., Science319;825,2008). Free hemin, however, is not necessarily toxic to developing erythroid precursors. Exogenously supplied hemin is readily taken up by erythroid cells in culture and its iron is incorporated into hemoglobin or stored in ferritin (Fibach et al., J Cell Physiol130;460,1987). Following addition of succinylacetone, a potent inhibitor of heme synthesis, exogenously supplied hemin can replace intracellularly synthesized heme and be incorporated into de novo formed hemoglobin (Fibach et al., Blood85;2967,1995). Hemin supplementation to semi-solid cultures promotes the growth of normal erythroid precursors (e.g., Lu and Broxmeyer, Exp Hematol11;721,1983). We showed in a two-phase liquid culture that exogenous hemin promotes normal erythropoiesis by accelerating the proliferation and hemoglobinization of erythroid precursors in the presence or absence of transferrin (Fibach et al., Blood85;2967,1995). This effect was particularly prominent during the early stages of hemoglobinization, when iron-uptake and heme synthesis are rate-limiting. In the present study we show that surplus hemin (10 - 50 mM) supplemented to cultures at early stage of erythroid development is well tolerated. Although the generation of reactive oxygen species (measured by staining with dichlorofluorescein diacetate) was modestly (50 ± 15%, N=4) increased, it was not associated with increased apoptosis, as measured by binding of annexin V, nor necrosis as measured by propidium iodide staining. Having demonstrated the growth and differentiation promoting potential of exogenous hemin on normal erythroid precursors and lack of overt toxicity, we studied the effect of exogenous heme in cultures of erythroid cells derived from six patients with DBA. We show that hemin, added as heme chloride or heme arginate, circumvented the primary defect and significantly stimulated (4 - 20-fold, p&lt;0.001) ) the growth of DBA erythroid cells and their hemoglobinization. In conclusion, our results show that exogenous hemin is taken up by developing erythroid cells and can supplement or substitute endogenously synthesized heme; excess heme stimulates free radical generation moderately but does not cause apoptosis or necrosis; addition of hemin to cultured erythroid precursors derived from normal donors stimulates their growth and hemoglobinization, and in DBA, in contrast to the recently proposed scheme, heme can actually restore the growth and differentiation potential of the DBA-erythroid precursors. The beneficial effect of hemin on DBA erythroid precursors may be related to its effect on translation initiation factors, such as eIF-2 , and suggests a therapeutic potential.


2014 ◽  
Vol 35 (2) ◽  
pp. 93-101
Author(s):  
Monika Wengel ◽  
Barbara Miłaszewicz ◽  
Roman Ulbrich

Abstract Gas-liquid two-phase flow in minichannels has been the subject of increased research interest in the past few years. Evaluation, however, of today’s state of the art regarding hydrodynamics of flow in minichannels shows significant differences between existing test results. In the literature there is no clear information regarding: defining the boundary between minichannels and conventional channels, labelling of flow patterns. The review of literature on the hydrodynamics of gas-liquid flow in minichannels shows that, despite the fact that many research works have been published, the problem of determining the effect of diameter of the minichannel on the hydrodynamics of the flow is still at an early stage. Therefore, the paperpresents the results of research concerning determination of flow regime map for the vertical upward flow in minichannels. The research is based on a comprehensive analysis of the literature data and on the research that has been carried out. Such approach to the mentioned above problems concerning key issues of the two-phase flow in minichannels allowed to determine ranges of occurrence of flow structures with a relatively high accuracy.


Author(s):  
Gilyana Kazakova ◽  
Tatiana Safronova ◽  
Daniil Golubchikov ◽  
Olga Shevtsova ◽  
Julietta Rau

Materials based on Mg2+-containing phosphates are gaining great relevance in the field of bone tissue repair via regenerative medicine methods. Magnesium ions, together with condensed phosphate ions, play a significant role in the process of bone remodeling, affecting the early stage of bone regeneration through active participation in the process of osteosynthesis. Here we pro-vide a comprehensive overview of the usage of biomaterials based on magnesium phosphate and magnesium calcium phosphate in bone reconstruction. The role of magnesium ions in angiogene-sis, an important process associated with osteogenesis, is considered. Finally, the biological properties of magnesium phosphates for bone regeneration are summarized. They show promis-ing results in terms of use as bone replacement material.


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