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Importance of modelling and simulation in biophysical applications 建模和仿真在生物物理应用中的重要性
IF 1.5 Q3 Biochemistry, Genetics and Molecular Biology Pub Date : 2023-01-01 DOI: 10.3934/biophy.2023017
Mehmet Yavuz, F. Usta
Mathematical modelling and simulation in biophysics and its applications in terms of both theoretical and biological/physical/ecological point of view arise in a number of research problems ranging from physical and chemical processes to biomathematics and life science. As known, the modeling of a biophysical system requires the analysis of the different interactions occurring among the different components of the system. This editorial article deals with the topic of this special issue, which is devoted to the new developments in the modelling and simulation in biophysical applications with special attention to the interplay between different scholars.
生物物理学中的数学建模和模拟及其在理论和生物/物理/生态观点方面的应用出现在从物理和化学过程到生物数学和生命科学的许多研究问题中。众所周知,生物物理系统的建模需要分析系统的不同组成部分之间发生的不同相互作用。这篇社论文章处理这个特刊的主题,它致力于在生物物理应用的建模和模拟的新发展,特别关注不同学者之间的相互作用。
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引用次数: 0
Twisting and extension: Application of magnetic tweezers to DNA studies 扭曲与延伸:磁镊子在DNA研究中的应用
Q3 Biochemistry, Genetics and Molecular Biology Pub Date : 2023-01-01 DOI: 10.3934/biophy.2023020
Arsha Moorthy, Alireza Sarvestani, Whitney Massock, Chamaree de Silva

Magnetic tweezers have emerged as a vital force spectroscopy tool for characterizing the mechanical properties of nucleic acids and their interactions with proteins. Harnessing the principles of magnetic theory, magnetic tweezers allow for the precise manipulation of biological compounds at the single-molecule level through the imposition of a magnetic field. This review focuses on the application of magnetic tweezers in the context of DNA studies, with a particular emphasis on the mechanical properties of DNA and its dynamic interactions with proteins and enzymes. These interactions are essential to genomic transactions such as DNA replication, repair, and transcription. Over the last few decades, magnetic tweezer technology has experienced significant advancements, leading to the development of different types of magnetic tweezers. These technological breakthroughs have opened up new avenues of scientific research, including studies related to DNA elasticity, supercoiling, replication, and repair.

& lt; abstract>磁镊子已成为一种重要的力谱工具,用于表征核酸的机械特性及其与蛋白质的相互作用。利用磁理论原理,磁镊子可以通过施加磁场在单分子水平上精确地操纵生物化合物。本文综述了磁镊子在DNA研究中的应用,特别强调了DNA的力学特性及其与蛋白质和酶的动态相互作用。这些相互作用对于DNA复制、修复和转录等基因组交易至关重要。在过去的几十年里,磁性镊子技术经历了重大的进步,导致了不同类型的磁性镊子的发展。这些技术突破开辟了新的科学研究途径,包括与DNA弹性、超卷曲、复制和修复有关的研究。& lt; / abstract>
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引用次数: 0
High-resolution phantom of a nephron for radiation nephrotoxicity evaluation in biophysical simulations 生物物理模拟中用于辐射肾毒性评估的高分辨率肾元模型
IF 1.5 Q3 Biochemistry, Genetics and Molecular Biology Pub Date : 2022-01-01 DOI: 10.3934/biophy.2022013
Masoud Jabbary, H. Rajabi
Computer simulation plays an important role in medical physics. The aim of this study was to generate an accurate model to calculate the absorbed dose at the cell level in a voxelized phantom of nephrons. In order to implement a model of kidney microdosimetry, a 3D mesh phantom of a human kidney nephron, representing a cortical nephron, was digitized to create a 3D voxelized phantom of a nephron for use in Monte Carlo simulations. The phantom was fed to GATE Monte Carlo toolkits, and simulations were performed to calculate the absorbed dose/energy from alpha and electron sources over a range of energy levels. The results were compared to the results published in literature that were derived by using a stylized phantom. The dose estimated in subunits of the voxelized and stylized phantoms showed a considerable bias (average of relative differences). The maximum difference for self-absorption was 12.5%, and up to 20% for cross-absorption. The digital phantom showed very significant differences in dose distribution among the cells in different subunits of the nephron. The results demonstrated that a small dissimilarity in the size and shape of subunits can lead to a considerable difference in the microdosimetry results. The model presented in this study offers a phantom that not only presents the realistic geometry of a nephron, which has been neglected in previous stylized models, but also one that has the capability of plotting the spatial distribution of the absorbed dose for any distribution of radiopharmaceuticals in nephron cells.
计算机模拟在医学物理学中起着重要的作用。本研究的目的是建立一个精确的模型来计算肾元体素化幻体在细胞水平上的吸收剂量。为了实现肾脏微剂量学模型,将代表皮质肾元的人体肾元三维网格幻影数字化,以创建用于蒙特卡罗模拟的肾元三维体素幻影。将该模型送入GATE蒙特卡罗工具包,并进行模拟以计算在一定能级范围内α源和电子源的吸收剂量/能量。将结果与文献中发表的使用程式化幻像得出的结果进行比较。体素化和程式化幻影亚单位估计的剂量显示出相当大的偏差(相对差异的平均值)。自吸收差异最大可达12.5%,交叉吸收差异最大可达20%。数字幻影在肾元不同亚单位细胞间的剂量分布有显著差异。结果表明,亚基的大小和形状的微小差异会导致微剂量测定结果的相当大的差异。本研究中提出的模型提供了一个幻影,它不仅呈现了肾元的真实几何形状,这在以前的程式化模型中被忽略了,而且还具有绘制肾元细胞中放射性药物的任何分布的吸收剂量的空间分布的能力。
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引用次数: 0
Effect of Rs5746136 genotypes on SOD activity and biomarkers levels in breast cancer patients Rs5746136基因型对乳腺癌患者SOD活性及生物标志物水平的影响
IF 1.5 Q3 Biochemistry, Genetics and Molecular Biology Pub Date : 2022-01-01 DOI: 10.3934/biophy.2023001
H. Abdulabbas, Y. H. Al-Mawlah
Oxidative stress factors are among the most common carcinogens, Superoxide dismutase enzyme-2 (SOD2) is an endogenous antioxidant involved in the scavenging of superoxide anions. This study aimed to investigate the effect of the SOD2 gene polymorphism (rs5746136) on SOD activity and biomarker levels in breast cancer patients. This study aimed to investigate the effect of SOD2 gene (rs5746136) polymorphisms on SOD activity and biomarkers levels in breast cancer patients. The spectrophotometry methods were used to detect malondialdehyde (MDA) and Catalase (CAT), Superoxide dismutase (SOD), and Glutathione (GSH) levels, which reflect antioxidant capacity, and the genotypes of rs5746136 were detected utilize PCR and RFLP. According to the current findings, the GA genotype of the control group was the most common (70%), followed by GG and AA genotypes (26.7% and 3.3%) respectively. In the patient group, the most common genotype was GG (45.6%), followed by the GA genotype (42.8%) and then the AA genotype (11.4%) The frequency of heterozygous genotype G/A compared to the homozygous genotype (G/G) [OR = 0.3571, 95% CI = 0.1375–0.9277, P = 0.0345]. The AA genotype is significantly associated with an increased risk of developing BC [OR = 2.00, p = 0.5403, CI: 0.2175–18.3883]. No significant differences were found in frequencies of the A allele between patients and control groups [OR = 0.7872, 95% CI = 0.4198–1.4762, P = 0.4558]. In addition, there are modest (P 0.05) relationships between serum biochemical parameters levels and rs5746136 genotype in breast cancer patients, but a substantial association between serum SOD activity and GSH concentration and GA and GG rs5746136 genotype in the control group. In conclusion, the current investigation suggests that the AA genotype of (rs5746136) in the MnSOD gene may be associated with an increased risk of breast cancer. The chosen SOD2 variants (rs5746136) play a crucial role in controlling the activity of the SOD enzyme.
氧化应激因子是最常见的致癌物之一,超氧化物歧化酶-2 (SOD2)是一种内源性抗氧化剂,参与清除超氧阴离子。本研究旨在探讨SOD2基因多态性(rs5746136)对乳腺癌患者SOD活性及生物标志物水平的影响。本研究旨在探讨SOD2基因(rs5746136)多态性对乳腺癌患者SOD活性及生物标志物水平的影响。采用分光光度法检测反映抗氧化能力的丙二醛(MDA)、过氧化氢酶(CAT)、超氧化物歧化酶(SOD)和谷胱甘肽(GSH)水平,并采用PCR和RFLP检测rs5746136基因型。根据目前的研究结果,对照组以GA基因型最常见(70%),其次是GG和AA基因型(26.7%和3.3%)。在患者组中,GG基因型最多(45.6%),其次是GA基因型(42.8%),其次是AA基因型(11.4%)。G/A基因型的杂合子频率与纯合子基因型(G/G)的频率比较[OR = 0.3571, 95% CI = 0.1375 ~ 0.9277, P = 0.0345]。AA基因型与发生BC的风险增加显著相关[OR = 2.00, p = 0.5403, CI: 0.2175-18.3883]。A等位基因频率在患者与对照组间无显著差异[OR = 0.7872, 95% CI = 0.4198 ~ 1.4762, P = 0.4558]。此外,乳腺癌患者血清生化指标水平与rs5746136基因型之间存在适度关系(P < 0.05),而对照组血清SOD活性和GSH浓度与GA和GG rs5746136基因型之间存在显著相关性。综上所述,本研究提示MnSOD基因中(rs5746136)的AA基因型可能与乳腺癌风险增加有关。所选择的SOD2变体(rs5746136)在控制SOD酶的活性方面起着至关重要的作用。
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引用次数: 0
Improvement in growth of plants under the effect of magnetized water 磁化水对植物生长的改善作用
IF 1.5 Q3 Biochemistry, Genetics and Molecular Biology Pub Date : 2022-01-01 DOI: 10.3934/biophy.2022029
Etimad M. Alattar, Eqbal Radwan, K. Elwasife
The magnetic field can change the polarity characteristics and hydrogen-bond structure of water; therefore, magnetized water can affect plant growth and development. Magnetized water is hexagonal water created by passing water through a specific magnet that can activate and ionize water molecules to change its structure. This review highlights the use of magnetized water in the agricultural sector to enhance plant growth and food productivity. We discussed the impact of magnetized water on seed germination, vegetative growth, fruit production, soil and pigments of treated plants. Plant growth and development can be improved both qualitatively and quantitatively via irrigation with magnetized water. It can promote seed germination, seedling early vegetative development, improvement of the mineral content of fruits and seeds, the enzyme activity of the soil, improved water use efficiency, higher nutrient content, and better transformation and consumption efficiency of nutrients; it can also mitigate soil salinity. Furthermore, magnetized water had a substantial good influence on the mobility and uptake of micronutrient concentrations, as well as promoted better growth criteria, all of which increased biomass and total yield. Also, irrigating plants with magnetized water resulted in a considerable increase in chloroplast pigments (carotenoids, chlorophyll a, and b) and photosynthetic activity. Magnetizing low-quality water (brackish water, saline water or water contaminated with metals) can be considered as an alternative tool to overcome the problem of scarcity and shortage of water resources. As a result, magnetic treatment of irrigation water could be a promising technique to boost agricultural production while also being environmentally beneficial in the future. The major challenge in using magnetized water in agriculture is creating pumps that are compatible with the technical and practical needs of magnetic systems while also effectively integrating irrigation components.
磁场可以改变水的极性特征和氢键结构;因此,磁化水会影响植物的生长发育。磁化水是一种六角形的水,它是由水通过一个特定的磁铁产生的,这个磁铁可以激活和电离水分子,改变水的结构。这篇综述强调了磁化水在农业部门的应用,以促进植物生长和粮食生产力。讨论了磁化水处理对植物种子萌发、营养生长、果实生产、土壤和色素的影响。磁化水灌溉可以从质量和数量上改善植物的生长发育。促进种子萌发,幼苗早期营养发育,提高果实和种子的矿物质含量,提高土壤的酶活性,提高水分利用效率,提高养分含量,提高养分的转化和消耗效率;它还可以减轻土壤盐分。此外,磁化水对微量营养素浓度的迁移和吸收有相当好的影响,并促进了更好的生长标准,所有这些都增加了生物量和总产量。此外,用磁化水灌溉植物导致叶绿体色素(类胡萝卜素、叶绿素a和b)和光合活性显著增加。磁化低质量的水(微咸水、咸水或受金属污染的水)可被视为克服水资源稀缺和短缺问题的一种替代工具。因此,对灌溉水进行磁处理可能是一种很有前途的技术,可以促进农业生产,同时在未来也对环境有益。在农业中使用磁化水的主要挑战是制造与磁性系统的技术和实际需要兼容的泵,同时还能有效地整合灌溉组件。
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引用次数: 3
Interplay and multiscale modeling of complex biological systems 复杂生物系统的相互作用和多尺度建模
IF 1.5 Q3 Biochemistry, Genetics and Molecular Biology Pub Date : 2022-01-01 DOI: 10.3934/biophy.2022005
C. Bianca
Recently the understanding of complex biological systems has been increased considering the important interplay among different scholars coming from different applied sciences such as mathematics, physics and information sciences. As known, the modeling of a complex system requires the analysis of the different interactions occurring among the different components of the system. Moreover, the analysis of a complex system can be performed at different scales; usually the microscopic, the mesoscopic and the macroscopic scales are the most representation scales. However, a multiscale approach is required. A unified approach that takes into account the different phenomena occurring at each observation scale is the desire of this century. This editorial article deals with the topic of this special issue, which is devoted to the new developments in the multiscale modeling of complex biological systems with special attention to the interplay between different scholars.
近年来,考虑到来自不同应用科学(如数学、物理和信息科学)的不同学者之间的重要相互作用,对复杂生物系统的理解有所增加。众所周知,复杂系统的建模需要分析系统的不同组成部分之间发生的不同相互作用。此外,复杂系统的分析可以在不同的尺度上进行;通常微观、介观和宏观尺度是最具代表性的尺度。然而,需要一种多尺度的方法。本世纪的愿望是采用一种统一的方法,考虑到在每个观测尺度上发生的不同现象。这篇社论文章讨论了这个特刊的主题,它致力于复杂生物系统的多尺度建模的新发展,特别关注不同学者之间的相互作用。
{"title":"Interplay and multiscale modeling of complex biological systems","authors":"C. Bianca","doi":"10.3934/biophy.2022005","DOIUrl":"https://doi.org/10.3934/biophy.2022005","url":null,"abstract":"Recently the understanding of complex biological systems has been increased considering the important interplay among different scholars coming from different applied sciences such as mathematics, physics and information sciences. As known, the modeling of a complex system requires the analysis of the different interactions occurring among the different components of the system. Moreover, the analysis of a complex system can be performed at different scales; usually the microscopic, the mesoscopic and the macroscopic scales are the most representation scales. However, a multiscale approach is required. A unified approach that takes into account the different phenomena occurring at each observation scale is the desire of this century. This editorial article deals with the topic of this special issue, which is devoted to the new developments in the multiscale modeling of complex biological systems with special attention to the interplay between different scholars.","PeriodicalId":7529,"journal":{"name":"AIMS Biophysics","volume":null,"pages":null},"PeriodicalIF":1.5,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70184829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Screening revealed the strong cytotoxic activity of Alchemilla smirnovii and Hypericum alpestre ethanol extracts on different cancer cell lines 筛选结果表明,金丝桃和金丝桃乙醇提取物对不同的癌细胞具有较强的细胞毒活性
IF 1.5 Q3 Biochemistry, Genetics and Molecular Biology Pub Date : 2022-01-01 DOI: 10.3934/biophy.2023002
M. Ginovyan, S. Hovhannisyan, Hayarpi Javrushyan, Gohar Sevoyan, Z. Karabekian, N. Zakaryan, N. Sahakyan, N. Avtandilyan
Compounds of plant origin are considered promising alternative approaches in the development of medicines for the prevention and treatment of cancer. The large diversity of herbal species still requires careful exploration as a source for new anticancer compounds. The goal of the study was to screen different herbal extracts traditionally used in Armenian folk medicine for their cytotoxic effect against some cancer cell lines, and to find the prospective plant species among them. The cytotoxicity of the plant ethanol extracts was evaluated with MTT test against HeLa (human cervical carcinoma) and A549 (human lung adenocarcinoma) cells. Antioxidant properties were assessed with DPPH free radical scavenging assay. Five of the tested ten herbal extracts exhibited significant growth-inhibiting activity on HeLa cells. Moreover, Alchemilla smirnovii and Hypericum alpestre extracts also showed potent cytotoxicity on human lung adenocarcinoma cells. These two plants possessed high antiradical activity as well. Their DPPH stoichiometric values were 0.4234 and 0.14437 respectively, meaning that 1 µg of plant extract brought the reduction of DPPH equal to the respective stoichiometric values in µg. Thus, A. smirnovii and H. alpestre extracts expressed themselves as potent cytotoxic and antioxidant agents and could have promising anticancer potential. Further evaluation of their in vivo anticancer properties has much interest.
植物源化合物被认为是开发预防和治疗癌症药物的有前途的替代方法。作为新的抗癌化合物的来源,草药物种的多样性仍然需要仔细的探索。该研究的目的是筛选亚美尼亚民间医学中传统使用的不同草药提取物对某些癌细胞系的细胞毒性作用,并在其中寻找有前景的植物物种。采用MTT法评价植物乙醇提取物对人宫颈癌细胞HeLa和人肺腺癌细胞A549的毒性。用DPPH自由基清除法测定其抗氧化性能。10种草药提取物中有5种对HeLa细胞表现出显著的生长抑制活性。此外,炼金草和金丝桃提取物对人肺腺癌细胞也表现出较强的细胞毒性。这两种植物也具有较高的抗自由基活性。它们的DPPH化学计量值分别为0.4234和0.14437,即1µg植物提取物使DPPH的减少量等于各自的化学计量值(µg)。因此,石竹和石竹提取物是一种有效的细胞毒性和抗氧化剂,具有良好的抗癌潜力。进一步评价它们的体内抗癌特性具有重要意义。
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引用次数: 1
Efficiency of GrowDex® nanofibrillar cellulosic hydrogel when generating homotypic and heterotypic 3D tumor spheroids GrowDex®纳米纤维纤维素水凝胶在生成同型和异型三维肿瘤球体时的效率
IF 1.5 Q3 Biochemistry, Genetics and Molecular Biology Pub Date : 2022-01-01 DOI: 10.3934/biophy.2022019
P. Balaji, Anbazhagan Murugadas, Lauri Paasonen, S. Shanmugaapriya, M. A. Akbarsha
In recent times, homotypic and heterotypic 3D tumor spheroid (HTS) models have been receiving increasing attention and come to be widely employed in preclinical studies. The present study is focused on the generation of homotypic (A549 and MDA-MB-231, separately) and heterotypic (A549 + NIH/3T3; MDA-MB-231 + NIH/3T3) 3D tumor spheroids by using GrowDex® nanofibrillar cellulosic (NFC) hydrogel as the scaffold. Light microscopic observations and F-actin staining confirmed the formation of spheroids. The proliferation efficiency indicated an expansion of cell population and an increase in spheroid size over time. The distribution, interaction pattern and influence of fibroblasts on the epithelial cell types were observed in terms of the size and shape of the HTS against homo-spheroids. An interesting observation was that, with an increase in the size of HTSs, many more fibroblast cells were found to occupy the core region, which, perhaps, was due to the faster growth of tumor cells over normal cells. Thus, normal and tumor cells, especially with origins from two different species, can be cultured together in 3D format, and this can potentially enhance our knowledge of tumor microenvironments and cell-cell interaction. These spheroids could be used to improve microphysiological systems for drug discovery and to better understand the tumor microenvironment.
近年来,同型和异型三维肿瘤球体(HTS)模型越来越受到人们的关注,并被广泛应用于临床前研究。本研究的重点是同型(A549和MDA-MB-231,分别)和异型(A549 + NIH/3T3;以GrowDex®纳米纤维纤维(NFC)水凝胶为支架制备MDA-MB-231 + NIH/3T3)三维肿瘤球体。光镜观察和f -肌动蛋白染色证实了球体的形成。增殖效率表明随着时间的推移,细胞数量增加,球体大小增加。观察成纤维细胞的分布、相互作用模式以及对上皮细胞类型的影响。一个有趣的观察结果是,随着hts大小的增加,更多的成纤维细胞被发现占据核心区域,这可能是由于肿瘤细胞比正常细胞生长得更快。因此,正常细胞和肿瘤细胞,特别是来自两个不同物种的细胞,可以在3D格式下一起培养,这可能会增强我们对肿瘤微环境和细胞-细胞相互作用的认识。这些球体可用于改善微生理系统,用于药物发现和更好地了解肿瘤微环境。
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引用次数: 0
VV-hemorphin-5 association to lipid bilayers and alterations of membrane bending rigidity VV-hemorphin-5与脂质双分子层的关联及膜弯曲刚度的改变
IF 1.5 Q3 Biochemistry, Genetics and Molecular Biology Pub Date : 2022-01-01 DOI: 10.3934/biophy.2022025
I. Valkova, P. Todorov, V. Vitkova
The morphinomimetic properties of hemorphins are intensively studied with regard to new peptide drug developments. In this respect, the investigation of mechanical properties and stability of lipid membranes provides a useful background for advancement in pharmacological applications of liposomes. Here we probed the effect of the endogenous heptapeptide VV-hemorphin-5 (valorphin) on the bending elasticity of biomimetic lipid membranes of 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine (POPC) by analysis of thermal shape fluctuations of nearly spherical giant unilamellar vesicles. In a wide concentration range covering valorphin concentrations applied in nociceptive screening in vivo, we report alterations of the bilayer bending rigidity in a concentration-dependent non-monotonic manner. We performed quantitative characterization of VV-hemorphin-5 association to POPC membranes by isothermal titration calorimetry in order to shed light on the partitioning of the amphiphilic hemorphin between the aqueous solution and membranes. The calorimetric results correlate with flicker spectroscopy findings and support the hypothesis about the strength of valorphin-membrane interaction related to the peptide bulk concentration. A higher strength of valorphin interaction with the bilayer corresponds to a more pronounced effect of the peptide on the membrane's mechanical properties. The presented study features the comprehensive analysis of membrane bending elasticity as a biomarker for physicochemical effects of peptides on lipid bilayers. The reported data on thermodynamic parameters of valorphin interactions with phosphatidylcholine bilayers and alterations of their mechanical properties is expected to be useful for applications of lipid membrane systems in pharmacology and biomedicine.
关于新的多肽药物开发,hemorphin的拟吗啡特性被深入研究。在这方面,脂质膜的力学性质和稳定性的研究为脂质体的药理应用提供了有益的背景。本文通过分析近球形巨型单层囊泡的热形态波动,探讨内源性七肽VV-hemorphin-5 (valorphin)对1-棕榈酰-2-油酰- snn -甘油-3-磷脂胆碱(POPC)仿生脂膜弯曲弹性的影响。在广泛的浓度范围内,包括用于体内伤害性筛选的valorphin浓度,我们报告了以浓度依赖的非单调方式改变的双层弯曲刚度。我们通过等温滴定量热法对VV-hemorphin-5与POPC膜的关联进行了定量表征,以阐明两亲性hemorphin在水溶液和膜之间的分配。量热分析结果与闪烁光谱分析结果相一致,并支持了有关肽体积浓度与valorphin-membrane相互作用强度有关的假设。valorphin与双分子层相互作用的强度越高,对应于肽对膜的机械性能的更显著的影响。本研究的特点是全面分析膜弯曲弹性作为多肽对脂质双分子层的物理化学作用的生物标志物。本文所报道的valorphin与磷脂酰胆碱双分子层相互作用的热力学参数及其力学性能的变化,有望为脂质膜系统在药理学和生物医学上的应用提供有用的数据。
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引用次数: 1
Impact of viscosity on creeping viscous fluid flow through a permeable slit: a study for the artificial kidneys 粘度对通过可渗透狭缝蠕动的粘性流体流动的影响:人工肾脏的研究
IF 1.5 Q3 Biochemistry, Genetics and Molecular Biology Pub Date : 2022-01-01 DOI: 10.3934/biophy.2022026
K. Maqbool, H. Mehboob, A. Siddiqui
The idea of this study is to present the mathematical model of two-dimensional biofluid flow having variable viscosity along the height of the channel (proximal renal tube of artificial kidney). This research describes that flow resistance is dependent on the height of the channel (proximal renal tube of artificial kidney) which makes the high flow near the centre and slow near the wall. The goal of this research is to provide the formulas to find the flow speed, average pressure, outflow flux and filtration rate of the viscous fluid having variable viscosity. The complex mathematical problem is solved by the Inverse method and results for axial velocity are plotted at the opening, central and departure region of the conduit. The numerical values for constant reabsorption and mean pressure are calculated against the filtration rate for the constant and variable viscosity. The numerical results of pressure rise show that when the viscosity of biofluid varies from centre to the boundary, then high change in pressure is required as compared with the biofluid having constant viscosity along the height of the slit. These mathematical formulas are very useful for the bioengineers to design the portable artificial kidney which works as a mechanical tool to filter the biofluid.
本研究的思想是提出具有可变粘度的二维生物流体沿通道(人工肾脏近端肾管)高度流动的数学模型。本研究描述了流动阻力取决于通道(人工肾近端肾管)的高度,这使得靠近中心的流量大,靠近壁的流量慢。本研究的目的是提供变粘度粘性流体的流速、平均压力、流出流量和过滤速率的计算公式。用反求法求解了这一复杂的数学问题,并绘制了导管开口、中心和偏离处的轴向速度曲线。恒定重吸收和平均压力的数值是根据恒定和可变粘度的过滤速率计算的。压力上升的数值结果表明,当生物流体的黏度从中心到边界变化时,与黏度沿狭缝高度恒定的生物流体相比,需要较大的压力变化。这些数学公式对生物工程师设计便携式人工肾脏作为过滤生物流体的机械工具具有重要的指导意义。
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引用次数: 0
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