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Advancing Gene Selection in Oncology: A Fusion of Deep Learning and Sparsity for Precision Gene Selection 推进肿瘤学中的基因选择:融合深度学习和稀疏性实现精准基因选择
Pub Date : 2024-03-04 DOI: arxiv-2403.01927
Akhila Krishna, Ravi Kant Gupta, Pranav Jeevan, Amit Sethi
Gene selection plays a pivotal role in oncology research for improvingoutcome prediction accuracy and facilitating cost-effective genomic profilingfor cancer patients. This paper introduces two gene selection strategies fordeep learning-based survival prediction models. The first strategy uses asparsity-inducing method while the second one uses importance based geneselection for identifying relevant genes. Our overall approach leverages thepower of deep learning to model complex biological data structures, whilesparsity-inducing methods ensure the selection process focuses on the mostinformative genes, minimizing noise and redundancy. Through comprehensiveexperimentation on diverse genomic and survival datasets, we demonstrate thatour strategy not only identifies gene signatures with high predictive power forsurvival outcomes but can also streamlines the process for low-cost genomicprofiling. The implications of this research are profound as it offers ascalable and effective tool for advancing personalized medicine and targetedcancer therapies. By pushing the boundaries of gene selection methodologies,our work contributes significantly to the ongoing efforts in cancer genomics,promising improved diagnostic and prognostic capabilities in clinical settings.
基因选择在肿瘤学研究中起着举足轻重的作用,它能提高肿瘤患者的预后准确性,并促进具有成本效益的基因组分析。本文介绍了基于深度学习的生存预测模型的两种基因选择策略。第一种策略使用arsity-inducing方法,第二种策略使用基于重要性的基因选择来识别相关基因。我们的整体方法利用深度学习的能力对复杂的生物数据结构进行建模,而解析度诱导方法则确保选择过程专注于信息量最大的基因,最大限度地减少噪音和冗余。通过对不同基因组和生存数据集的全面实验,我们证明了我们的策略不仅能识别对生存结果具有高预测力的基因特征,还能简化低成本基因组建档的过程。这项研究的意义深远,因为它为推进个性化医疗和癌症靶向治疗提供了可推广的有效工具。我们的工作突破了基因选择方法学的界限,极大地推动了癌症基因组学的发展,有望提高临床诊断和预后能力。
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引用次数: 0
A Mathematical Model for Two Solutes Transport in a Poroelastic Material and Its Applications 多孔弹性材料中两种溶质迁移的数学模型及其应用
Pub Date : 2024-03-01 DOI: arxiv-2403.00216
Roman Cherniha, Joanna Stachowska-Pietka, Jacek Waniewski
Using well-known mathematical foundations of the elasticity theory, amathematical model for two solutes transport in a poroelastic material (softtissue is a typical example) is suggested. It is assumed that molecules ofessentially different sizes dissolved in fluid and are transported throughpores of different sizes. The stress tensor, the main force leading to thematerial deformation, is taken not only in the standard linear form but alsowith an additional nonlinear part. The model is constructed in 1D space andconsists of six nonlinear equations. It is shown that the governing equationsare integrable in stationary case, therefore all steady-state solutions areconstructed. The obtained solutions are used in an example for healthy andtumour tissue, in particular, tissue displacements are calculated and comparedfor parameters taken from experimental data in cases of the linear andnonlinear stress tensors. Since the governing equations are non-integrable innon-stationary case, the Lie symmetry analysis is used in order to constructtime-dependent exact solutions. Depending on parameters arising in thegoverning equations, several special cases with non-trivial Lie symmetries areidentified. As a result, multi-parameter families of exact solutions areconstructed including those in terms of special functions(hypergeometric andBessel functions). A possible application of the solutions obtained isdemonstrated.
利用众所周知的弹性理论数学基础,提出了一种在孔弹性材料(软组织是一个典型例子)中传输两种溶质的数学模型。假设大小基本不同的分子溶解在流体中,并通过大小不同的孔隙传输。应力张量是导致材料变形的主要作用力,不仅采用标准线性形式,还增加了非线性部分。该模型在一维空间中构建,由六个非线性方程组成。结果表明,在静态情况下,控制方程是可积分的,因此可以构建所有稳态解。所得到的解被用于健康组织和肿瘤组织的实例中,特别是在线性和非线性应力张量的情况下,组织位移的计算和与实验数据参数的比较。由于控制方程在非稳态情况下是不可解的,因此使用了李对称分析来构建与时间相关的精确解。根据控制方程中出现的参数,确定了几种具有非三维李对称性的特殊情况。因此,构建了精确解的多参数族,包括以特殊函数(超几何函数和贝塞尔函数)表示的解。演示了所获解的可能应用。
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引用次数: 0
The Architecture of Sponge Choanocyte Chambers Maximizes Mechanical Pumping Efficiency 海绵蝶形细胞室的结构最大限度地提高了机械泵的效率
Pub Date : 2024-02-22 DOI: arxiv-2402.14364
Takumi Ogawa, Shuji Koyama, Toshihiro Omori, Kenji Kikuchi, Helene de Maleprade, Raymond E. Goldstein, Takuji Ishikawa
Sponges, the basalmost members of the animal kingdom, exhibit a range ofcomplex architectures in which microfluidic channels connect multitudes ofspherical chambers lined with choanocytes, flagellated filter-feeding cells.Choanocyte chambers can possess scores or even hundreds of such cells, whichdrive complex flows entering through porous walls and exiting into the spongechannels. One of the mysteries of the choanocyte chamber is its sphericalshape, as it seems inappropriate for inducing directional transport since manychoanocyte flagella beat in opposition to such a flow. Here we combine directimaging of choanocyte chambers in living sponges with computational studies ofmany-flagella models to understand the connection between chamber architectureand directional flow. We find that those flagella that beat against the flowplay a key role in raising the pressure inside the choanocyte chamber, with theresult that the mechanical pumping efficiency, calculated from the pressurerise and flow rate, reaches a maximum at a small outlet opening angle.Comparison between experimental observations and the results of numericalsimulations reveal that the chamber diameter, flagellar wave number and theoutlet opening angle of the freshwater sponge $E. muelleri$, as well as severalother species, are related in a manner that maximizes the mechanical pumpingefficiency. These results indicate the subtle balances at play duringmorphogenesis of choanocyte chambers, and give insights into the physiology andbody design of sponges.
海绵是动物界最底层的成员,具有一系列复杂的结构,其中微流体通道连接着许多球形腔室,腔室内衬有绒毛细胞(鞭毛滤食细胞)。绒毛细胞腔室可以拥有几十个甚至上百个这样的细胞,它们驱动复杂的水流通过多孔壁进入海绵腔室,然后流出。藻细胞室的奥秘之一是它的球形,因为它似乎不适合诱导定向运输,因为许多藻细胞鞭毛的跳动与这种流动相反。在这里,我们将活体海绵绒毛细胞腔的直接成像与多鞭毛虫模型的计算研究结合起来,以了解细胞腔结构与定向流动之间的联系。我们发现,那些逆流拍打的鞭毛在提高绒毛细胞腔内压力方面起着关键作用,其结果是,根据压力上升和流速计算出的机械泵效率在较小的出口张开角度时达到最大值。将实验观察结果与数值模拟结果进行比较后发现,淡水海绵 E. muelleri$ 以及其他一些物种的腔直径、鞭毛波数和出口张开角度之间的关系能使机械泵效率达到最大值。这些结果表明了绒毛膜腔在形态发生过程中的微妙平衡,并对海绵的生理学和身体设计提供了启示。
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引用次数: 0
Data Repository of Finite Element Models of Normal and Deformed Thoracolumbar Spine 正常和变形胸腰椎有限元模型数据储存库
Pub Date : 2024-02-20 DOI: arxiv-2402.13041
Morteza Rasouligandomani, Alex del Arco, Francis Kiptengwer Chemorion, Marc-Antonio Bisotti, Fabio Galbusera, Jerome Noailly, Miguel Angel Gonzalez Ballester
Adult spine deformity (ASD) is prevalent and leads to a sagittal misalignmentin the vertebral column. Computational methods, including Finite Element (FE)Models, have emerged as valuable tools for investigating the causes andtreatment of ASD through biomechanical simulations. However, the process ofgenerating personalized FE models is often complex and time-consuming. Toaddress this challenge, we present a repository of FE models with diverse spinemorphologies that statistically represent real geometries from a cohort ofpatients. These models are generated using EOS images, which are utilized toreconstruct 3D surface spine models. Subsequently, a Statistical Shape Model(SSM) is constructed, enabling the adaptation of a FE hexahedral mesh templatefor both the bone and soft tissues of the spine through mesh morphing. The SSMdeformation fields facilitate the personalization of the mean hexahedral FEmodel based on sagittal balance measurements. Ultimately, this new hexahedralSSM tool offers a means to generate a virtual cohort of 16807 thoracolumbar FEspine models, which are openly shared in a public repository.
成人脊柱畸形(ASD)很普遍,会导致椎体矢状位错位。包括有限元(FE)模型在内的计算方法已成为通过生物力学模拟研究 ASD 病因和治疗方法的重要工具。然而,生成个性化 FE 模型的过程通常既复杂又耗时。为了解决这一难题,我们建立了一个具有不同脊柱形态的 FE 模型库,这些模型在统计学上代表了一批患者的真实几何形态。这些模型使用 EOS 图像生成,并利用这些图像重建三维表面脊柱模型。随后,构建统计形状模型(SSM),通过网格变形,使脊柱的骨骼和软组织都能适应 FE 六面体网格模板。SSM 变形域有助于根据矢状面平衡测量结果对平均六面体 FE 模型进行个性化定制。最终,这一新的六面体 SSM 工具提供了一种生成 16807 个胸腰椎 FE 脊柱模型的虚拟队列的方法,这些模型在公共存储库中公开共享。
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引用次数: 0
Annihilation dynamics during spiral defect chaos revealed by particle models 粒子模型揭示的螺旋缺陷混沌过程中的湮灭动力学
Pub Date : 2024-02-15 DOI: arxiv-2402.10308
Timothy J Tyree, Patrick Murphy, Wouter-Jan Rappel
Pair-annihilation events are ubiquitous in a variety of spatially extendedsystems and are often studied using computationally expensive simulations. Herewe develop an approach in which we simulate the pair-annihilation of spiralwave tips in cardiac models using a computationally efficient particle model.Spiral wave tips are represented as particles with dynamics governed bydiffusive behavior and short-ranged attraction. The parameters for diffusionand attraction are obtained by comparing particle motion to the trajectories ofspiral wave tips in cardiac models during spiral defect chaos. The particlemodel reproduces the annihilation rates of the cardiac models and can determinethe statistics of spiral wave dynamics, including its mean termination time. Weshow that increasing the attraction coefficient sharply decreases the meantermination time, making it a possible target for pharmaceutical intervention
成对湮灭事件在各种空间扩展系统中无处不在,通常采用计算昂贵的模拟方法进行研究。在这里,我们开发了一种方法,利用计算效率高的粒子模型模拟心脏模型中螺旋波尖的成对湮灭。螺旋波尖被表示为粒子,其动力学受扩散行为和短程吸引的支配。通过比较心脏模型中螺旋波尖在螺旋缺陷混沌期间的运动轨迹,获得了扩散和吸引的参数。粒子模型再现了心脏模型的湮灭率,并能确定螺旋波动力学的统计量,包括其平均终止时间。研究表明,增加吸引系数会大幅减少平均终止时间,从而使其成为药物干预的可能目标。
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引用次数: 0
Hypolipidemic effect of brown seaweed (Sargassum crassifolium) extract in vivo (Study of histopathology, mRNA expression, and immunohistochemistry (IHC) with VCAM-1, ICAM-1, and MCP-1 parameters) 褐海藻(Sargassum crassifolium)提取物在体内的降血脂作用(组织病理学、mRNA表达以及VCAM-1、ICAM-1和MCP-1参数的免疫组织化学(IHC)研究)
Pub Date : 2024-02-12 DOI: arxiv-2402.07497
Sarah Zaidan, Syamsudin Abdillah, Nur Arfian, Wawaimuli Arozal
The purpose of this study was to obtain natural drugs from brown seaweed(Sargassum crassifolium) as antiatherosclerosis candidates through the study ofhypolipidemic mechanisms of action. Modeling of dyslipidemia rats was carriedout by feeding high-fat (HFF) and doses of crude fucoidan 100. 200. 400mg /KgBB. in both treatments measured blood lipid profile levels taken from theorbital sinuses. HE's histopathology. mRNA expression. immunohistochemistry(IHC) with parameters VCAM-1. ICAM-1. and MCP-1 were performed on adiposetissue. as well as liver. Total cholesterol values 51.07-225.2. triglycerides30.43-115.73. HDL 13.1-24.86 mg/dl and LDL 20.22-189.68 mg/dl. In the treatmentof crude fucoidan obtained the result of p value < {alpha} (0.05.Histopathological features of adipose tissue after administration of HFF for 60days resulted in an increase in adipose cell size. and the liver experiencedstructural damage and inflammation. but after 21 days of treatment themorphological picture of adipose tissue was similar to normal morphology andthe liver also decreased in severity and inflammation. The results ofhistochemical staining after treatment showed a positive staining part onMCP-1. The result of p value < {alpha} (0.05) of mRNA expression foradministration of 3 treatment doses. A dyslipidemic mouse model with HFFadministration for 60 days succeeded in becoming a dyslipidemic rat. and crudefucoidan had hypolipidemic activity. Doses of 100. 200. and 400 mg/KgBB crudefucoidan showed improvement in adipose and liver morphological features ofseverity and inflammation of dyslipidemic rats and decreased mRNA expression.
本研究的目的是从褐藻(Sargassum crassifolium)中获取天然药物,通过研究其降血脂作用机制作为抗动脉粥样硬化的候选药物。通过喂食高脂肪(HFF)和一定剂量的粗褐藻糖胶(100.200.在这两种处理中,都测量了眶窦的血脂水平。HE的组织病理学、mRNA表达、免疫组化(IHC)参数VCAM-1、ICAM-1和MCP-1。对脂肪组织和肝脏进行了免疫组化(IHC),其参数为 VCAM-1、ICAM-1 和 MCP-1。总胆固醇值 51.07-225.2。甘油三酯 30.43-115.73。高密度脂蛋白 13.1-24.86 毫克/分升,低密度脂蛋白 20.22-189.68 毫克/分升。在服用粗褐藻糖胶 60 天后,脂肪组织的组织病理学特征是脂肪细胞体积增大,肝脏出现结构损伤和炎症,但在治疗 21 天后,脂肪组织的形态与正常形态相似,肝脏的严重程度和炎症也有所减轻。治疗后的组织化学染色结果显示,MCP-1 的染色部分呈阳性。3个治疗剂量的mRNA表达的P值均小于{α}(0.05)。血脂异常小鼠模型在服用HFF 60天后成功地变成了血脂异常大鼠,而粗褐藻糖胶具有降血脂活性。剂量为100.200和400毫克/千克BB粗褐藻糖胶对血脂异常大鼠的脂肪和肝脏形态特征以及炎症有改善作用,并降低了mRNA的表达。
{"title":"Hypolipidemic effect of brown seaweed (Sargassum crassifolium) extract in vivo (Study of histopathology, mRNA expression, and immunohistochemistry (IHC) with VCAM-1, ICAM-1, and MCP-1 parameters)","authors":"Sarah Zaidan, Syamsudin Abdillah, Nur Arfian, Wawaimuli Arozal","doi":"arxiv-2402.07497","DOIUrl":"https://doi.org/arxiv-2402.07497","url":null,"abstract":"The purpose of this study was to obtain natural drugs from brown seaweed\u0000(Sargassum crassifolium) as antiatherosclerosis candidates through the study of\u0000hypolipidemic mechanisms of action. Modeling of dyslipidemia rats was carried\u0000out by feeding high-fat (HFF) and doses of crude fucoidan 100. 200. 400mg /\u0000KgBB. in both treatments measured blood lipid profile levels taken from the\u0000orbital sinuses. HE's histopathology. mRNA expression. immunohistochemistry\u0000(IHC) with parameters VCAM-1. ICAM-1. and MCP-1 were performed on adipose\u0000tissue. as well as liver. Total cholesterol values 51.07-225.2. triglycerides\u000030.43-115.73. HDL 13.1-24.86 mg/dl and LDL 20.22-189.68 mg/dl. In the treatment\u0000of crude fucoidan obtained the result of p value < {alpha} (0.05.\u0000Histopathological features of adipose tissue after administration of HFF for 60\u0000days resulted in an increase in adipose cell size. and the liver experienced\u0000structural damage and inflammation. but after 21 days of treatment the\u0000morphological picture of adipose tissue was similar to normal morphology and\u0000the liver also decreased in severity and inflammation. The results of\u0000histochemical staining after treatment showed a positive staining part on\u0000MCP-1. The result of p value < {alpha} (0.05) of mRNA expression for\u0000administration of 3 treatment doses. A dyslipidemic mouse model with HFF\u0000administration for 60 days succeeded in becoming a dyslipidemic rat. and crude\u0000fucoidan had hypolipidemic activity. Doses of 100. 200. and 400 mg/KgBB crude\u0000fucoidan showed improvement in adipose and liver morphological features of\u0000severity and inflammation of dyslipidemic rats and decreased mRNA expression.","PeriodicalId":501572,"journal":{"name":"arXiv - QuanBio - Tissues and Organs","volume":"42 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139773560","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
A mathematical model for fibrous dysplasia: The role of the flow of mutant cells 纤维发育不良的数学模型:突变细胞流的作用
Pub Date : 2024-02-12 DOI: arxiv-2402.07724
Mariia Soloviova, Juan Carlos Beltran Vargas, Luis Fernandez de Castro, Juan Belmonte-Beitia, Víctor M. Pérez-García, Magdalena Caballero
Fibrous dysplasia (FD) is a mosaic non-inheritable genetic disorder of theskeleton in which normal bone is replaced by structurally unsound fibro-osseoustissue. There is no curative treatment for FD, partly because itspathophysiology is not yet fully known. We present a simple mathematical modelof the disease incorporating its basic known biology, to gain insight on thedynamics of the involved bone-cell populations, and shed light on itspathophysiology. Our mathematical models account for the dynamic evolution overtime of several interacting populations of bone cells averaged over a volume ofbone of sufficient size in order to obtain consistent results. We develop ananalytical study of the model and study its basic properties. The existence andstability of steady states are studied, an analysis of sensitivity on the modelparameters is done, and different numerical simulations provide findings inagreement with the analytical results. We discuss the model dynamics match withknown facts on the disease, and how some open questions could be addressedusing the model.
纤维发育不良(FD)是一种镶嵌性非遗传骨骼疾病,正常骨骼被结构不健全的纤维组织所取代。目前还没有治疗 FD 的方法,部分原因是其病理生理学尚未完全清楚。我们提出了一个简单的数学模型,该模型结合了已知的基本生物学原理,以深入了解相关骨细胞群的动力学,并揭示其病理生理学。我们的数学模型考虑了几个相互作用的骨细胞群在足够大的骨体积上的平均动态演化时间,以获得一致的结果。我们对模型进行了分析研究,并研究了其基本特性。研究了稳态的存在性和稳定性,分析了模型参数的敏感性,不同的数值模拟结果与分析结果一致。我们讨论了模型动力学与已知疾病事实的匹配问题,以及如何利用该模型解决一些悬而未决的问题。
{"title":"A mathematical model for fibrous dysplasia: The role of the flow of mutant cells","authors":"Mariia Soloviova, Juan Carlos Beltran Vargas, Luis Fernandez de Castro, Juan Belmonte-Beitia, Víctor M. Pérez-García, Magdalena Caballero","doi":"arxiv-2402.07724","DOIUrl":"https://doi.org/arxiv-2402.07724","url":null,"abstract":"Fibrous dysplasia (FD) is a mosaic non-inheritable genetic disorder of the\u0000skeleton in which normal bone is replaced by structurally unsound fibro-osseous\u0000tissue. There is no curative treatment for FD, partly because its\u0000pathophysiology is not yet fully known. We present a simple mathematical model\u0000of the disease incorporating its basic known biology, to gain insight on the\u0000dynamics of the involved bone-cell populations, and shed light on its\u0000pathophysiology. Our mathematical models account for the dynamic evolution over\u0000time of several interacting populations of bone cells averaged over a volume of\u0000bone of sufficient size in order to obtain consistent results. We develop an\u0000analytical study of the model and study its basic properties. The existence and\u0000stability of steady states are studied, an analysis of sensitivity on the model\u0000parameters is done, and different numerical simulations provide findings in\u0000agreement with the analytical results. We discuss the model dynamics match with\u0000known facts on the disease, and how some open questions could be addressed\u0000using the model.","PeriodicalId":501572,"journal":{"name":"arXiv - QuanBio - Tissues and Organs","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139772442","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
Single-channel and multi-channel electrospinning for the fabrication of PLA/PCL tissue engineering scaffolds: comparative study of the materials physicochemical and biological properties 用单通道和多通道电纺丝法制造聚乳酸/PCL 组织工程支架:材料理化和生物特性的比较研究
Pub Date : 2024-02-09 DOI: arxiv-2403.00767
Semen Goreninskii, Ulyana Chernova, Elisaveta Prosetskaya, Alina Laushkina, Alexander Mishanin, Alexey Golovkin, Evgeny Bolbasov
Fabrication of tissue engineering scaffolds with tailored physicochemical andbiological characteristics is a relevant task in biomedical engineering. Thepresent work was focused at the evaluation of the effect of fabricationapproach (single-channel or multi-channel electrospinning) on the properties ofthe fabricated poly(lactic acid)(PLA)/poly(epsilon-caprolactone)(PCL) scaffoldswith various polymer mass ratios (1/0, 2/1, 1/1, 1/2, and 0/1). The scaffoldswith same morphology (regardless of electrospinning variant) were fabricatedand characterized using SEM, water contact angle measurement, FTIR, XRD,tensile testing and in vitro experiment with multipotent mesenchymal stemcells. It was demonstrated, that multi-channel electrospinning preventsintermolecular interactions between the polymer components of the scaffold,preserving their crystal structure, what affects the mechanical characteristicsof the scaffold (particularly, leads to 2-fold difference in elongation).Better adhesion of multipotent mesenchymal stem cells on the surface of thescaffolds fabricated using multichannel electrospinning was demonstrated.
制造具有定制物理化学和生物学特性的组织工程支架是生物医学工程领域的一项重要任务。本研究主要评估了不同聚合物质量比(1/0、2/1、1/1、1/2 和 0/1)的制造方法(单通道或多通道电纺)对所制造的聚乳酸(PLA)/聚ε-己内酯(PCL)支架性能的影响。利用扫描电镜、水接触角测量、傅立叶变换红外光谱、X 射线衍射、拉伸测试和多能间充质干细胞体外实验,制备了具有相同形态的支架(与电纺丝变体无关),并对其进行了表征。结果表明,多通道电纺丝可防止支架聚合物成分之间的分子间相互作用,保留其晶体结构,从而影响支架的机械特性(特别是导致伸长率相差 2 倍)。
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引用次数: 0
A model for membrane degradation using a gelatin invadopodia assay 使用明胶内陷试验的膜降解模型
Pub Date : 2024-02-08 DOI: arxiv-2404.05730
Giorgia Ciavolella, Nathalie Ferrand, Michèle Sabbah, Benoît Perthame, Roberto Natalini
One of the most crucial and lethal characteristics of solid tumors isrepresented by the increased ability of cancer cells to migrate and invadeother organs during the so-called metastatic spread. This is allowed thanks tothe production of matrix metalloproteinases (MMPs), enzymes capable ofdegrading a type of collagen abundant in the basal membrane separating theepithelial tissue from the connective one. In this work, we employ asynergistic experimental and mathematical modelling approach to explore theinvasion process of tumor cells. A athematical model composed ofreaction-diffusion equations describing the evolution of the tumor cellsdensity on a gelatin substrate, MMPs enzymes concentration and the degradationof the gelatin is proposed. This is completed with a calibration strategy. Weperform a sensitivity analysis and explore a parameter estimation techniqueboth on synthetic and experimental data in order to find the optimal parametersthat describe the in vitro experiments. A comparison between numerical andexperimental solutions ends the work.
实体瘤最关键和最致命的特征之一是癌细胞在所谓的转移扩散过程中迁移和侵入其他器官的能力增强。这要归功于基质金属蛋白酶(MMPs)的产生,这种酶能够降解分隔上皮组织和结缔组织的基底膜上丰富的胶原蛋白。在这项工作中,我们采用非协同实验和数学建模方法来探索肿瘤细胞的入侵过程。我们提出了一个由反应-扩散方程组成的数学模型,描述了明胶基质上肿瘤细胞密度、MMPs 酶浓度和明胶降解的演变过程。最后提出了校准策略。我们对合成数据和实验数据进行了敏感性分析,并探索了参数估计技术,以找到描述体外实验的最佳参数。最后,对数值解和实验解进行了比较。
{"title":"A model for membrane degradation using a gelatin invadopodia assay","authors":"Giorgia Ciavolella, Nathalie Ferrand, Michèle Sabbah, Benoît Perthame, Roberto Natalini","doi":"arxiv-2404.05730","DOIUrl":"https://doi.org/arxiv-2404.05730","url":null,"abstract":"One of the most crucial and lethal characteristics of solid tumors is\u0000represented by the increased ability of cancer cells to migrate and invade\u0000other organs during the so-called metastatic spread. This is allowed thanks to\u0000the production of matrix metalloproteinases (MMPs), enzymes capable of\u0000degrading a type of collagen abundant in the basal membrane separating the\u0000epithelial tissue from the connective one. In this work, we employ a\u0000synergistic experimental and mathematical modelling approach to explore the\u0000invasion process of tumor cells. A athematical model composed of\u0000reaction-diffusion equations describing the evolution of the tumor cells\u0000density on a gelatin substrate, MMPs enzymes concentration and the degradation\u0000of the gelatin is proposed. This is completed with a calibration strategy. We\u0000perform a sensitivity analysis and explore a parameter estimation technique\u0000both on synthetic and experimental data in order to find the optimal parameters\u0000that describe the in vitro experiments. A comparison between numerical and\u0000experimental solutions ends the work.","PeriodicalId":501572,"journal":{"name":"arXiv - QuanBio - Tissues and Organs","volume":"84 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140584832","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
Automated Data-Driven Discovery of Material Models Based on Symbolic Regression: A Case Study on Human Brain Cortex 基于符号回归的材料模型自动数据驱动发现:人类大脑皮层案例研究
Pub Date : 2024-02-07 DOI: arxiv-2402.05238
Jixin Hou, Xianyan Chen, Taotao Wu, Ellen Kuhl, Xianqiao Wang
We introduce a data-driven framework to automatically identify interpretableand physically meaningful hyperelastic constitutive models from sparse data.Leveraging symbolic regression, an algorithm based on genetic programming, ourapproach generates elegant hyperelastic models that achieve accurate datafitting through parsimonious mathematic formulae, while strictly adhering tohyperelasticity constraints such as polyconvexity. Our investigation spansthree distinct hyperelastic models -- invariant-based, principal stretch-based,and normal strain-based -- and highlights the versatility of symbolicregression. We validate our new approach using synthetic data from five classichyperelastic models and experimental data from the human brain to demonstratealgorithmic efficacy. Our results suggest that our symbolic regression robustlydiscovers accurate models with succinct mathematic expressions ininvariant-based, stretch-based, and strain-based scenarios. Strikingly, thestrain-based model exhibits superior accuracy, while both stretch- andstrain-based models effectively capture the nonlinearity andtension-compression asymmetry inherent to human brain tissue. Polyconvexityexaminations affirm the rigor of convexity within the training regime anddemonstrate excellent extrapolation capabilities beyond this regime for allthree models. However, the stretch-based models raise concerns regardingpotential convexity loss under large deformations. Finally, robustness tests onnoise-embedded data underscore the reliability of our symbolic regressionalgorithms. Our study confirms the applicability and accuracy of symbolicregression in the automated discovery of hyperelastic models for the humanbrain and gives rise to a wide variety of applications in other soft mattersystems.
我们介绍了一种数据驱动框架,用于从稀疏数据中自动识别可解释且具有物理意义的超弹性构造模型。利用符号回归(一种基于遗传编程的算法),我们的方法可以生成优雅的超弹性模型,通过简洁的数学公式实现精确的数据拟合,同时严格遵守多凸性等超弹性约束。我们的研究涵盖了三种不同的超弹性模型--基于不变性、基于主拉伸和基于法向应变--并突出了符号回归的多功能性。我们使用五个经典超弹性模型的合成数据和人脑实验数据验证了我们的新方法,以证明算法的有效性。结果表明,我们的符号回归在基于不变式、基于拉伸和基于应变的情况下,都能以简洁的数学表达式稳健地发现准确的模型。引人注目的是,基于应变的模型表现出更高的准确性,而基于拉伸和应变的模型都有效地捕捉到了人类脑组织固有的非线性和拉伸-压缩不对称。多凸性检验肯定了训练机制内凸性的严格性,并证明了所有三种模型在训练机制之外的卓越外推能力。然而,基于拉伸的模型引起了对大变形下潜在凸度损失的担忧。最后,对噪声嵌入数据的鲁棒性测试强调了我们的符号回归算法的可靠性。我们的研究证实了符号回归在自动发现人脑超弹性模型方面的适用性和准确性,并为其他软物质系统提供了广泛的应用前景。
{"title":"Automated Data-Driven Discovery of Material Models Based on Symbolic Regression: A Case Study on Human Brain Cortex","authors":"Jixin Hou, Xianyan Chen, Taotao Wu, Ellen Kuhl, Xianqiao Wang","doi":"arxiv-2402.05238","DOIUrl":"https://doi.org/arxiv-2402.05238","url":null,"abstract":"We introduce a data-driven framework to automatically identify interpretable\u0000and physically meaningful hyperelastic constitutive models from sparse data.\u0000Leveraging symbolic regression, an algorithm based on genetic programming, our\u0000approach generates elegant hyperelastic models that achieve accurate data\u0000fitting through parsimonious mathematic formulae, while strictly adhering to\u0000hyperelasticity constraints such as polyconvexity. Our investigation spans\u0000three distinct hyperelastic models -- invariant-based, principal stretch-based,\u0000and normal strain-based -- and highlights the versatility of symbolic\u0000regression. We validate our new approach using synthetic data from five classic\u0000hyperelastic models and experimental data from the human brain to demonstrate\u0000algorithmic efficacy. Our results suggest that our symbolic regression robustly\u0000discovers accurate models with succinct mathematic expressions in\u0000invariant-based, stretch-based, and strain-based scenarios. Strikingly, the\u0000strain-based model exhibits superior accuracy, while both stretch- and\u0000strain-based models effectively capture the nonlinearity and\u0000tension-compression asymmetry inherent to human brain tissue. Polyconvexity\u0000examinations affirm the rigor of convexity within the training regime and\u0000demonstrate excellent extrapolation capabilities beyond this regime for all\u0000three models. However, the stretch-based models raise concerns regarding\u0000potential convexity loss under large deformations. Finally, robustness tests on\u0000noise-embedded data underscore the reliability of our symbolic regression\u0000algorithms. Our study confirms the applicability and accuracy of symbolic\u0000regression in the automated discovery of hyperelastic models for the human\u0000brain and gives rise to a wide variety of applications in other soft matter\u0000systems.","PeriodicalId":501572,"journal":{"name":"arXiv - QuanBio - Tissues and Organs","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139772437","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
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arXiv - QuanBio - Tissues and Organs
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