circularity

圆度
  • 文章类型: Journal Article
    在无碳循环能源经济中,铁被认为是有吸引力的能源载体。氧化铁的还原对于其作为金属燃料的应用至关重要,因为它决定了循环的效率。通过互补X射线吸收光谱(XAS)和衍射(XRD)监测α-Fe2O3的程序升温还原,以获得具有高时间分辨率的相组成。由于同步加速器Mössbauer光谱(SMS)对不同铁物种的高灵敏度,因此还采用了该光谱。进行了表面和本体吸附过程的理论计算,以建立潜在的反应途径和相应的能障。然后建立了动力学粒子模型,以桥接实验数据和理论计算,再现了还原的开始和行为。发现还原过程在还原窗口和观察到的中间物种方面强烈依赖于加热速率。我们建议核-壳机制通过形成铁层来决定反应,铁层随后阻碍水从多孔颗粒中扩散出来,从而在高温下产生一些未还原的FeO。这项研究表明需要补充方法来描述复杂的异质系统并克服任何单一方法的化学灵敏度限制。
    Iron is considered as attractive energy carrier in a carbon-free circular energy economy. The reduction of iron oxide is crucial for its applica-tion as a metal fuel as it determines the efficiency of the cycle. Temperature programmed reduction of α-Fe2O3 was monitored by complementary X-ray absorption spectroscopy (XAS) and diffraction (XRD) to obtain the phase composition with high time resolution. Synchrotron Mössbauer spectroscopy (SMS) was additionally employed due to its high sensitivity to the different iron species. Theoretical calculations of surface and bulk adsorption processes were performed to establish the potential reaction pathways and the corresponding energy barriers. A kinetic particle model was then developed to bridge the experimental data and theoretical calculations, which reproduced the reduction onset and behavior. The reduction process was found to be strongly dependent on the heating rate in terms of the reduction window and the observed intermediate species. We propose that a core-shell mechanism determines the reaction by forming an iron layer which subsequently hinders diffusion of water out of the porous particles leading to some unreduced FeO at high temperature. This study demonstrates the need for complementary methods for describing complex heterogeneous systems and overcoming the chemical sensitivity limitations of any single method.
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  • 文章类型: Journal Article
    黑兵苍蝇幼虫(Hermetiaillucens;BSFL)可以将有机废物转化为可用于动物饲养的营养生物质。这项工作的目的是研究五种饮食(肉类,水果,蔬菜基质,它们的混合物和对照)对BSFL的脂肪酸(FA)和固醇的概况。为了更详尽地描述营养特性,甘油三酯sn-2位的酯化FAs的分布,评估了动物消化过程中吸收最多的脂质成分。对两种不同的Hermetiaillucens种群(希腊语-UTH和意大利语-UNIPI)的饮食效果进行了估计。饮食影响所检查的所有脂质部分。无论饮食如何,脂肪的特征主要是月桂酸和其他饱和脂肪酸,被发现是由幼虫合成的,因为它不存在于五种底物中的任何一种中。总的来说,UTH幼虫含有较高水平的脂质(7.38对2.48g/100g幼虫;P<0.001)和饱和FAs(49.71对36.10g/100g总脂质;P<0.001),单不饱和FAs百分比较低(14.74对26.70g/100g总脂质),C18:3n-3(0.67对1.13g/100g总脂质;P<0.001),和C18:2c9t11(2.02对2.80g/100g总脂质;P<0.001)。无论人口如何,在对照和果实基质上饲养的BSFL显示出较高的脂质水平(8.06和5.61g/100g幼虫,分别),和饱和FA(38.99和71.19g/100g总脂质,分别),而肉类的存在增加了C20:4n-6,C20:5n-3和C22:5n-3的水平(0.70、0.13和0.45g/100g总脂质,分别)。结果证实BSFL在其脂质级分中积累植物甾醇。固醇分布受到幼虫饲养的底物的强烈影响,肉组幼虫中胆固醇含量较高(38.55mg/100g总脂),豆甾醇和菜油甾醇(9.04和15.23mg/100g总脂,分别)在蔬菜组中。两个种群之间的甾醇含量存在显著差异,在UTH幼虫中的百分比更高(113.28对34.03mg/100g总脂质;P<0.001)。最后,BSFL显示出脂质分布的高可塑性,这取决于底物和与不同种群相关的代谢。这种可变性允许BSFL的营养特性通过改变底物来成形,使其适应幼虫注定的技术和喂养需求。
    Black soldier fly larvae (Hermetia illucens; BSFL) can transform organic wastes into nutritional biomass useful in animal feeding. The aim of this work was to study the effect of five diets (meat, fruit, vegetable substrates, a mix of them and control) on the profile of fatty acids (FAs) and sterols of BSFL. For a more exhaustive characterization of the nutritional properties, the profile of esterified FAs in the sn-2 position of the triglycerides, the most absorbed lipid component during animal digestion was evaluated. The dietary effect was estimated on two different Hermetia illucens populations (Greek - UTH and Italian - UNIPI). The diet affected all the lipid fractions examined. Regardless of diet, the fat was characterized mainly of lauric acid and other saturated FAs, which were found to be synthesized by the larvae, as it was not present in any of the five substrates. In general, UTH larvae contained a higher level of lipids (7.38 vs 2.48 g/100 g of larvae; P < 0.001) and saturated FAs (49.71 vs 36.10 g/100 g of Total Lipids; P < 0.001) and a lower percentage of monounsaturated FAs (14.74 vs 26.70 g/100 g of Total Lipids), C18:3n-3 (0.67 vs 1.13 g/100 g of Total Lipids; P < 0.001), and C18:2c9t11 (2.02 vs 2.80 g/100 g of Total Lipids; P < 0.001). Irrespective of the populations, BSFL reared on control and fruit substrates showed higher level of lipids (8.06 and 5.61 g/100 g of larvae, respectively), and saturated FA (38.99 and 71.19 g/100 g of Total Lipids, respectively), while the presence of meat increased the level of C20:4n-6, C20:5n-3 and C22:5n-3 (0.70, 0.13 and 0.45 g/100 g of Total Lipids, respectively). The results confirmed that BSFL accumulate phytosterols in their lipid fraction. The sterol profile was strongly influenced by the substrate on which the larvae were reared, with higher levels of cholesterol in the larvae of the meat group (38.55 mg/100 g of Total Lipids) and of stigmasterol and campesterol (9.04 and 15.23 mg/100 g of Total Lipids, respectively) in those of the vegetable group. The sterol content between the two populations was significantly different, with a higher percentage in UTH larvae (113.28 vs 34.03 mg/100 g of Total Lipids; P < 0.001). Finally, BSFLs showed a high plasticity of the lipid profile depending on both the substrate and the metabolism linked to the different populations. This variability allows the nutritional characteristics of the BSFL to be shaped by modifying the substrate, to adapt it to the technological and feeding needs to which the larvae are destined.
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  • 文章类型: Journal Article
    黑色士兵飞幼虫,Hermetiaillucens,可以有效地将有机废物转化为生物物质用于动物饲料。这种循环性伴随着微生物污染幼虫产品下游消费者的风险,重金属,以及初始底物中可能存在的其他危险。这篇综述探讨了管理这些污染物的缓解技术的研究,从底物的预处理到幼虫的后处理。虽然对这种技术已经做了很多研究,很少关注它们对食品安全污染物的影响。廉价和低技术的热处理可以减少基质和幼虫的微生物负荷。通过饥饿清空幼虫肠道的研究不足,但很有希望。黑色士兵苍蝇幼虫积累某些重金属,如镉,他们处理某些危险的能力是未知的,这就是为什么一些政府当局对如何在饲料生产中使用幼虫生物转化持谨慎态度的原因。不同的底物具有不同的风险,一些缓解策略可能会对幼虫的饲养性能和最终产品产生负面影响,因此,不同的生产者需要为他们的系统选择正确的策略,以平衡成本效益与可持续性和安全性。
    The black soldier fly larva, Hermetia illucens, can efficiently convert organic waste into biomatter for use in animal feed. This circularity comes with a risk of contaminating downstream consumers of the larval products with microbes, heavy metals, and other hazards potentially present in the initial substrate. This review examines research on mitigation techniques to manage these contaminants, from pretreatment of the substrate to post-treatment of the larvae. While much research has been done on such techniques, little of it focused on their effects on food safety contaminants. Cheap and low-technology heat treatment can reduce substrate and larval microbial load. Emptying the larval gut through starvation is understudied but promising. Black soldier fly larvae accumulate certain heavy metals like cadmium, and their ability to process certain hazards is unknown, which is why some government authorities are erring on the side of caution regarding how larval bioconversion can be used within feed production. Different substrates have different risks and some mitigation strategies may affect larval rearing performance and the final products negatively, so different producers will need to choose the right strategy for their system to balance cost-effectiveness with sustainability and safety.
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  • 文章类型: Journal Article
    纳米结构材料获得了广泛的市场接受,主要是由于它们的总体耐久性。纳米原纤纤维素(NFC)是由于潜在的工艺复杂性而无法由中小型企业(SME)生产的增强剂的一个实例。本研究旨在表征被称为TRX细胞的NFC替代细胞,它是纤维素和非纤维素成分的混合物,排除了它作为纤维素纳米纤维的地位,CNF\'。通过考虑副产品的可用性来执行将TRX-cells®生产过程测试拟合到圆形模型中的目标。在这样做的时候,纤维油棕榈空果串(EFB)用二羟甲基自由基(DIOR)处理并均质化。在将DIOR处理的EFB精制成微型纤维之前,在70°C下进行快速的EFB-DIOR反应,目标是在10%固体开放系统中进行脱芳构化反应。使微纤维经受17kWh/mtPFI研磨产生85-95%的纳米级纤维质量。相对于坚硬的微纤维,根据与纤维间空间减少相关的网的耐撕裂性曲线判断,纳米级细胞网表现出34-41%的柔软度增强。TRX-cells®\'总醛糖中27%木聚糖的高级色谱证据是非纤维素纳米组分的一种形式。高分辨率透射电子显微镜与X射线能量色散分析(HRTEM-EDX)元素映射相结合,显示纳米生物矿物的原子百分比为0.4,确认邻近保持在半纤维素网中的纤维素的再分布的去芳香化细胞的存在。通过PFI磨机剪切去芳香化的胞间壁层,剥离5nm-100nm厚的薄层。纤维素和非纤维素的杂物导致结晶度与软木NFC相当,约为60%,具有独特的保存和精确打印功能。鉴于DIOR处理的EFB微纤维的不可回收性,将快速的废物转化过程嵌套到圆形模型中,为圆形生物纳米技术提供了零废物的机会,在废物转化为产品的附加值之上,减少排放和净零碳实践。
    Nano-structured materials gain a vast market acceptance mainly due to their overarching endurance. Nanofibrillar cellulose (NFC) is one example of an augmenting agent unviable for production by small and medium enterprises (SMEs) due to the underlying process complexity. This study aims to characterise the NFC-alternative cells denoted as TRX-cellsⓇ, which is a mix of cellulose and non-cellulose components, ruling out its status as \'cellulose nanofibers, CNF\'. The aim to test-fit the TRX-cells® production process into the circularity model was executed by deliberating on the usability of the byproduct. In doing so, fibrous oil palm empty fruit bunch (EFB) was treated with dioxydanyl radicals (DIOR) and homogenised. The rapid EFB-DIOR reaction at 70°C targeting dearomatisation reaction in a 10%-solid open system was performed before refining the DIOR-treated EFB to micro-scale fibres. Subjecting the micro-fibres to 17 kWh/mt PFI-milling yielded 85-95% of nano-scale fibrous mass. Relative to the stiff micro-fibres, the nano-scale cells web exhibit 34-41% softness enhancement judged from the web tear resistance profile associated with inter-fibre space reduction. Advanced chromatographic evidence for 27% xylan amongst TRX-cells®\' total aldo-sugars was one form of the non-cellulose nano-component. High-resolution Transmission Electron Microscopy hyphenated to Energy Dispersive Analysis of X-ray (HRTEM-EDX) elemental mapping showed a 0.4 atomic percentage of nano-biominerals, confirming the presence of the redistributed dearomatised cells adjacent to cellulose held in the web of the hemicellulose. Shearing at the dearomatised inter-cell wall layers by PFI mill peeled 5 nm-100 nm thickness laminae. The smorgasbord of cellulose and non-celluloses resulted in crystallinity comparable to softwood NFC of approximately 60%, with unique preservation and precision-printing enabling properties. Given the non-recyclability of the DIOR-treated EFB microfibres, nestling the rapid waste transformation process into the circularity model shed light on circular bio-nanotechnology to the spectrum of opportunity for zero-waste, reduced emission and net zero carbon practices on top of an added value from waste transformation to a product.
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  • 文章类型: Journal Article
    最近,许多研究都集中在不同的食物废物和农业副产品对昆虫物种HermetiaillucensL.(双翅目:Stratiomyidae)的最终幼虫生物量和化学成分的影响上。然而,关于H.illucens幼虫的取食底物与几丁质之间的可能关系,文献中存在空白。在这种情况下,在本研究中,来自两个种群的H.illucens幼虫(即,UNIPI和UTH),以水果组成的不同饮食饲养,蔬菜,和肉。根据结果,所有测试饮食的幼虫存活率都很高。幼虫生长在体重增加方面,幼虫长度,和饲料转化率(FCR)取决于每种饮食的组成。幼虫的几丁质和壳聚糖组成,在不同的基质上饲养,没有显示显著差异。鉴于饲喂基质在昆虫的工业生产中代表着巨大的成本,其与高价值产品(即壳聚糖)的相关性是重要的。另一方面,由于H.illucens的pu前阶段目前用作动物饲料,当提供幼虫或prepupae作为饲料时,养殖动物对几丁质的代谢可能会产生不利影响。因此,取决于要生产的最终产品,工业可以从建立合适的饮食中受益。
    Recently, much research has been oriented towards the influence of different food wastes and agricultural by-products on the final larval biomass and chemical composition of the insect species Hermetia illucens L. (Diptera: Stratiomyidae). However, there is a gap in the literature regarding the possible relationship between the feeding substrate of H. illucens larvae and chitin. In this context, in the present study, larvae of H. illucens derived from two populations (i.e., UNIPI and UTH), were reared on different diets composed of fruits, vegetables, and meat. Based on the results, the larval survival was high for all diets tested. Larval growth in terms of weight gain, larval length, and feed conversion ratio (FCR) depended on the composition of each diet. The chitin and chitosan composition of larvae, reared on different substrates, did not reveal significant differences. Given the fact that the feeding substrate represent a significant cost in the industrial production of insects, its correlation with a high value product (i.e. chitosan) is important. On the other hand, as the prepupal stage of H. illucens is currently used as animal feed, the metabolization of chitin by farmed animals when the larvae or prepupae were offered as feed could have adverse effects. Thus, depending on the final product that is to be produced, industries could benefit from the establishment of a suitable diet.
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  • 文章类型: Journal Article
    2021年,澳大利亚的一个研究中心与一个区域码头和造船厂合作,在那里有90家企业建造,改装,并保持船只处于优质状态。租户和业主努力解决环境废物管理问题。由于在应用行动研究方面存在差距,但许多呼吁共同产生解决方案并参与将想法转化为实践,在这个案例研究中使用了行动研究,涉及循环的上游和下游创新。混合方法数据是通过访谈收集的,利益相关者研讨会,和废物审计。制定了一项战略行动计划,以关闭废物循环。干预措施包括处理有毒物质,具有天然替代品的可降解产品,交易和再制造材料以延长产品生命周期,测试有问题的材料,追求产品管理。这项研究是新颖的,因为它通过共同创新过程将创新理论的扩散扩展到现实世界的影响。结果强调,持续的成就取决于正确分类废物,进入后处理设施,保持敬业的员工和伙伴关系,特别是持续改进的立法支持。
    In 2021, an Australian research centre partnered with a regional marina and shipyard where 90 businesses build, refit, and maintain boats in premium condition. Tenants and owners grapple with environmental waste management issues. Since there is a gap in applying action research but numerous calls to co-produce solutions and participate in translating ideas into practice, action research was used in this case study involving upstream and downstream innovation for circularity. Mixed methods data was collected through interviews, stakeholder workshops, and waste audits. A strategic action plan was created for closing the loop on waste. Interventions included tackling toxic, degradable products with natural alternatives, trading and remanufacturing materials to extend product life cycles, testing problematic materials, and pursuing product stewardship. This study is novel because it extends diffusion of innovation theory to real-world impact through a co-innovation process. Results underscore that ongoing achievements depend on properly sorting waste, accessing reprocessing facilities, and maintaining dedicated staff and partnerships, especially legislative support for making continuous improvement.
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  • 文章类型: Journal Article
    医疗设备的复杂性增加,迫切需要考虑制造商的设计思维和专业培训,医疗保健和消毒供应商,和监管者。适当解决这一考虑将为端到端供应链和物流提供积极的信息,生产,processing,灭菌,安全,regulation,教育,可持续性和循环性。创新和开发适当的数字工具有重要的机会,以帮助释放这些重要领域的效率。这是第一篇论文,旨在从整体端到端生命周期的角度创建并定义不同的数字技术,以通知和实现医疗设备生产。它描述了使用数字创新来满足许多一次性和可重复使用的医疗设备的新兴机会的附加值。它解决了访问和使用结合学术界的集成多参与者HUB的价值,工业,healthcare,监管机构和社会帮助满足这些机会。例如,以具有成本效益的方式获得融合数字创新的专业试点设施和专业知识,材料科学,生物相容性,不育保证,商业模式和可持续性。它强调了学术研发活动(PRISMA审查2010年1月至2024年1月期间进行的最佳出版物)和美国FDA批准和销售的人工智能/机器学习(AI/ML)的实际列表中的明显差距。和增强现实/虚拟现实(AR/VR)-用于不同医疗保健应用的医疗设备。未来使用数字工具的潜在好处示例包括机器学习的潜在实施,通过有效监控关键过程数据(符合ISO11135:2014)来支持和实现灭菌产品的参数化发布,这将使利益相关者受益。本文还重点介绍了将数字孪生与扩展现实创新相结合的变革潜力,以提高医疗设备设计思维的效率。供应链和培训,以告知患者安全,循环性和可持续性。
    Medical devices have increased in complexity where there is a pressing need to consider design thinking and specialist training for manufacturers, healthcare and sterilization providers, and regulators. Appropriately addressing this consideration will positively inform end-to-end supply chain and logistics, production, processing, sterilization, safety, regulation, education, sustainability and circularity. There are significant opportunities to innovate and to develop appropriate digital tools to help unlock efficiencies in these important areas. This constitutes the first paper to create an awareness of and to define different digital technologies for informing and enabling medical device production from a holistic end-to-end life cycle perspective. It describes the added-value of using digital innovations to meet emerging opportunities for many disposable and reusable medical devices. It addresses the value of accessing and using integrated multi-actor HUBs that combine academia, industry, healthcare, regulators and society to help meet these opportunities. Such as cost-effective access to specialist pilot facilities and expertise that converges digital innovation, material science, biocompatibility, sterility assurance, business model and sustainability. It highlights the marked gap in academic R&D activities (PRISMA review of best publications conducted between January 2010 and January 2024) and the actual list of U.S. FDA\'s approved and marketed artificial intelligence/machine learning (AI/ML), and augmented reality/virtual reality (AR/VR) enabled-medical devices for different healthcare applications. Bespoke examples of benefits underlying future use of digital tools includes potential implementation of machine learning for supporting and enabling parametric release of sterilized products through efficient monitoring of critical process data (complying with ISO 11135:2014) that would benefit stakeholders. This paper also focuses on the transformative potential of combining digital twin with extended reality innovations to inform efficiencies in medical device design thinking, supply chain and training to inform patient safety, circularity and sustainability.
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  • 文章类型: Journal Article
    检查肿瘤异质性对于为个体选择合适的抗癌治疗至关重要。这项研究旨在通过分析球体的形成模式来区分低侵袭性和高侵袭性肿瘤细胞。基于液滴的微流体系统用于从四种不同亚型的乳腺肿瘤细胞形成每个球体。此外,产生了具有T淋巴细胞和癌症相关成纤维细胞(CAF)的异型球体,低侵袭性和高侵袭性肿瘤细胞之间的区别通过使用圆形分析形成模式来探索,凸性,和细胞分布。在具有T淋巴细胞的同型球状体和异型球状体中,由低侵袭性肿瘤细胞形成的球状体表现出高圆形和凸度。另一方面,由高侵袭性肿瘤细胞形成的球状体具有相对较低的圆度和凸度。在具有CAF的异型球体的情况下,圆度和凸度在低侵袭性和高侵袭性肿瘤细胞之间没有明显差异,但是在细胞分布中观察到明显的变化。CAFs和低侵袭性肿瘤细胞均匀分布,而CAF主要位于内层,高侵袭性肿瘤细胞主要位于外层。这一发现可以为预测未知肿瘤细胞的侵袭性提供有价值的见解。
    Examining tumor heterogeneity is essential for selecting an appropriate anticancer treatment for an individual. This study aimed to distinguish low- and high-aggressive tumor cells by analyzing the formation patterns of spheroids. The droplet-based microfluidic system was employed for the formation of each spheroid from four different subtypes of breast tumor cells. Additionally, heterotypic spheroids with T lymphocytes and cancer-associated fibroblasts (CAFs) were produced, and distinctions between low- and high-aggressive tumor cells were explored through the analysis of formation patterns using circularity, convexity, and cell distributions. In both homotypic spheroids and heterotypic spheroids with T lymphocytes, spheroids formed from low-aggressive tumor cells exhibited high circularity and convexity. On the other hand, spheroids formed from high-aggressive tumor cells had relatively low circularity and convexity. In the case of heterotypic spheroids with CAFs, circularity and convexity did not exhibit clear differences between low- and high-aggressive tumor cells, but distinct variations were observed in cell distributions. CAFs and low-aggressive tumor cells were evenly distributed, whereas the CAFs were predominantly located in the inner layer, and high-aggressive tumor cells were primarily located in the outer layer. This finding can offer valuable insights into predicting the aggressiveness of unknown tumor cells.
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  • 文章类型: Journal Article
    循环经济是一种强调资源效率的再生方法,减少废物,以及可持续发展世界的材料再利用。通过采用循环做法,降低传统线性经济模型对环境的负面影响。根据国际可再生能源机构(IRENA)世界上只有26%的能源生产来自循环实践,对环境健康产生积极影响。因此,这项研究旨在评估关于能源对环境的循环实践的经验估计。当前的研究重点是循环经济指标之间的关联,经济增长,贸易,数字化,能源使用,和1990年至2019年29个高收入国家环境金融发展指数。该研究采用第二代计量经济学技术Driscoll-Kraay在确认数据集中的横截面依赖性后,根据经验估计感兴趣变量之间的关联。研究结果表明,循环实践改善了高收入国家的环境条件。此外,这项研究证实了经济增长之间的关联,金融发展指数,能源使用,贸易,和环境的数字化,这导致了更可持续的局面。政策是根据政策制定者对可持续世界的调查结果制定的。
    A circular economy is a regenerative approach that emphasizes resource efficiency, waste reduction, and the reuse of materials for a sustainable world. By adopting circular practices, we can reduce the negative impact of traditional linear economic models on the environment. According to the International Renewable Energy Agency (IRENA), the world is generating only 26% of total energy production from circular practices, which positively impacts environmental health. Therefore, this study aims to evaluate the empirical estimation of circular practices regarding energy on the environment. The current study focuses on the association between the circular economic index, economic growth, trade, digitization, energy use, and the financial development index on the environment in 29 high-income countries from 1990 to 2019. The study employs the second-generation econometric technique Driscoll-Kraay to empirically estimate the association among the variables of interest after confirming cross-sectional dependency within the data set. The study findings reveal that circular practices improve high-income countries\' environmental conditions. Furthermore, the study confirms the association between economic growth, financial development index, energy use, trade, and digitization on the environment, and it leads to a more sustainable situation. Policies are drawn based on findings for policymakers toward a sustainable world.
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  • 文章类型: Journal Article
    在完成分裂/合并时精确测量神经束的空间延伸距离是不可能的,因为对于神经束分裂/合并中的开始和结束位置不存在明确的数学定义。我们手动计算长神经段中神经束分裂/合并的数量,这是劳动密集型的,低效,并且容易出现计数错误。目前,分裂/合并前后的神经束直径的数学尚不清楚。本文探讨了这些问题,并提出了神经束分裂/合并规则。基于定义神经束分裂/合并的开始和结束位置的方法,我们探索了分裂/合并前后神经束等效直径的数学规律。实验结果表明,神经束圆度的移动平均值准确地定义了神经束分裂/合并的开始和结束位置。分裂/合并之前和之后的神经束的直径大致符合达芬奇公式的原理。提出的基于质心偏移匹配的自动计数算法以100%的准确率获得序列扫描图像中分裂/合并神经束的数量。本文提出的神经束分裂/合并起始和终止位置的数学定义是准确而严格的,是后续研究的基础。提出的ACA-COM可以准确有效地计算神经束在顺序图像中分裂和合并的次数。分裂/合并之前和之后的神经束直径所满足的数学定律反映出神经束倾向于具有更好的抵抗断裂的能力。
    Accurately measuring the spatial extension distance of nerve bundles in completing a split/merge is impossible because no clear mathematical definition exists for the starting and ending positions in nerve-bundle splitting/merging. We manually count the number of nerve-bundle splits/merges in long nerve segments, which is labor-intensive, inefficient, and prone to counting errors. Currently, the mathematics are unclear for the nerve-bundle diameter before and after splitting/merging. This paper explores these problems and proposes nerve-bundle splitting/merging rules. Based on the method of defining the beginning and ending positions of nerve-bundle splitting/merging, we explored the mathematical law of equivalent diameter of nerve bundles before and after splitting/merging. The experimental results revealed that the moving average of circularity of nerve bundle accurately defines the beginning and ending positions of nerve-bundle splitting/merging. The diameter of the nerve bundles before and after split/merge approximately conforms to the principles of the Da Vinci formula. The proposed automatic counting algorithm based on centroid offset matching obtains the number of split/merged nerve bundles in the sequence scan images with 100 % accuracy. The mathematical definition of the starting and ending positions of nerve-bundle splitting/merging proposed in this paper is accurate and strict and is the foundation of subsequent research. The proposed automatic counting algorithm based on centroid offset matching (ACA-COM) can accurately and efficiently count the number of times the nerve bundles split and merge in sequential images. The mathematical law satisfied by the diameter of the nerve bundles before and after splitting/merging reflects that the nerve bundles tend to have better capability to resist breaking.
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