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Noise-induced destruction of equilibrium regimes and spiking patterns formation in calcium dynamics 噪声诱导的钙动力学平衡状态破坏和尖峰模式形成
Pub Date : 2024-09-12 DOI: 10.1140/epjs/s11734-024-01310-3
Irina Bashkirtseva, Stepan Kachusov, Lev Ryashko

The problem of identifying the conditions that cause the formation of oscillatory patterns in the calcium dynamics of cells is considered. This problem is studied in this article on the basis of a stochastic version of the Li-Rinzel model of calcium dynamics. The study is carried out for mono- and bi-stability zones, where the initial deterministic version of the model has only stable equilibria as attractors. For the monostability parameter zone, conditions have been found under which even small noise destructs the equilibrium mode and forms the spiking oscillatory patterns. In the bistability zone with two coexisting stable equilibria, mechanisms of two-stage transformations from stochastic preference to noise-induced excitement are revealed. To study these stochastic phenomena, we apply the method of confidence ellipses.

本文探讨了确定导致细胞钙动力学振荡模式形成的条件的问题。本文以随机版本的钙动力学 Li-Rinzel 模型为基础研究了这一问题。研究针对单稳态区和双稳态区进行,其中初始确定性版本的模型只有稳定平衡作为吸引子。在单稳态参数区,即使很小的噪声也能破坏平衡模式并形成尖峰振荡模式。在有两个稳定平衡共存的双稳态区,揭示了从随机偏好到噪声诱发兴奋的两阶段转化机制。为了研究这些随机现象,我们采用了置信椭圆法。
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引用次数: 0
An investigation of the Nernst–Planck model of an electro-viscous fluid flow between squeezing plates with homogeneous–heterogeneous reactions 对挤压板间具有同质异相反应的电粘性流体流动的 Nernst-Planck 模型的研究
Pub Date : 2024-09-11 DOI: 10.1140/epjs/s11734-024-01314-z
Wajid Ullah Jan, Muhammad Farooq, Rehan Ali Shah, Aamir Khan, Rashid Jan, Yasser Alrashedi

The significant influence of convective transport flow between compressing plates involving both homogeneous and heterogeneous reactions, with uniform ionic distribution across the plates’ surfaces, is examined. The physical situation is elucidated through the utilization of fundamental equations governing fluid flow, including the Poisson–Boltzmann equation, the energy equation, and the Nernst–Planck equation, as well as equations pertaining to heterogeneous and homogeneous reactions. The governing equations undergo a transformation into systems of ODEs through a similarity transformation. These equations are then solved numerically utilizing the BVP4c technique for different controlling parameter values, and the outcomes are tabulated and visually represented. In addition, a homotopy analysis method (HAM) is employed to solve the resulting equations. The accuracy and validity of the HAM findings are confirmed by comparing them to solutions obtained from BVP4c numerical solver packages. Based on both homogeneous and heterogeneous chemical reactions, it is concluded that compressing plates increases the distribution of anions and cations. Physical restrictions impact vertical and horizontal velocities, as well as positive and negative charge profiles, are drawn and briefly described. Furthermore, the rate of vertical velocity near the parallel plates increases with an increase in the squeezing Reynolds number.

本研究探讨了压缩板之间的对流传输流的重要影响,其中涉及板表面均匀离子分布的均相反应和异相反应。通过利用流体流动的基本方程,包括泊松-波尔兹曼方程、能量方程、奈恩斯特-普朗克方程,以及与异质反应和均质反应有关的方程,阐明了物理现象。通过相似性变换,这些控制方程被转化为 ODE 系统。然后,利用 BVP4c 技术对不同控制参数值对这些方程进行数值求解,并将结果列表和直观地表示出来。此外,还采用了同调分析方法(HAM)来求解所得到的方程。通过与 BVP4c 数值求解软件包获得的解进行比较,确认了 HAM 结果的准确性和有效性。根据均相和异相化学反应得出的结论是,压缩板会增加阴阳离子的分布。绘制并简要描述了影响垂直和水平速度以及正负电荷剖面的物理限制。此外,平行板附近的垂直速度随着挤压雷诺数的增加而增加。
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引用次数: 0
Foundations of automatic feature extraction at LHC–point clouds and graphs 大型强子对撞机自动特征提取的基础--点云和图形
Pub Date : 2024-09-11 DOI: 10.1140/epjs/s11734-024-01306-z
Akanksha Bhardwaj, Partha Konar, Vishal Ngairangbam

Deep learning algorithms will play a key role in the upcoming runs of the Large Hadron Collider (LHC), helping bolster various fronts ranging from fast and accurate detector simulations to physics analysis probing possible deviations from the Standard Model. The game-changing feature of these new algorithms is the ability to extract relevant information from high-dimensional input spaces, often regarded as “replacing the expert” in designing physics-intuitive variables. While this may seem true at first glance, it is far from reality. Existing research shows that physics-inspired feature extractors have many advantages beyond improving the qualitative understanding of the extracted features. In this review, we systematically explore automatic feature extraction from a phenomenological viewpoint and the motivation for physics-inspired architectures. We also discuss how prior knowledge from physics results in the naturalness of the point cloud representation and discuss graph-based applications to LHC phenomenology.

深度学习算法将在即将运行的大型强子对撞机(LHC)中发挥关键作用,帮助加强从快速准确的探测器模拟到探测标准模型可能偏差的物理分析等各方面的工作。这些新算法改变游戏规则的特点是从高维输入空间中提取相关信息的能力,通常被视为 "取代专家 "设计物理直观变量的能力。乍一看,这似乎没错,但实际情况却与此相去甚远。现有研究表明,物理启发特征提取器除了能提高对所提取特征的定性理解外,还有很多优势。在这篇综述中,我们将从现象学的角度系统地探讨自动特征提取以及物理启发架构的动机。我们还讨论了来自物理学的先验知识如何导致点云表示的自然性,并讨论了基于图的大型强子对撞机现象学应用。
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引用次数: 0
Directional crystallization of a two-phase region with a mixed conductive–convective heat and mass transport 双相区的定向结晶与传导-对流混合热量和质量传输
Pub Date : 2024-09-11 DOI: 10.1140/epjs/s11734-024-01309-w
Eugenya V. Makoveeva, Dmitri V. Alexandrov

Here we consider the influence of simultaneous operation of convective and conductive heat and mass fluxes in a binary liquid on directional crystallization processes with a two-phase region. We consider two possible crystallization scenarios with constant and unsteady growth velocities and construct the corresponding analytical solutions in a parametric form. These solutions enable us to find such process characteristics as temperature, impurity concentration, solid-phase fraction, the laws of motion for the two-phase region boundaries dependent on material parameters and crystallization driving force, i.e. the specified system cooling conditions. The solutions obtained enable us to describe the material microstructure by means of two-phase region permeability and primary interdendritic spacing dependent on the solid-phase fraction of a solidified material. The theory under consideration also enables us to find the unfrozen liquid phase fraction of a two-phase material released in ice and permafrost melting processes, which defines the biophysical significance of the issue under study.

在此,我们考虑了二元液体中对流和传导热量与质量通量的同时作用对具有两相区域的定向结晶过程的影响。我们考虑了恒定和非恒定生长速度下两种可能的结晶情况,并以参数形式构建了相应的解析解。这些解使我们能够找到温度、杂质浓度、固相分数等过程特征,以及取决于材料参数和结晶驱动力(即指定的系统冷却条件)的两相区边界运动规律。所得到的解使我们能够通过两相区渗透率和主要树枝间距来描述材料的微观结构,而这取决于凝固材料的固相分数。所考虑的理论还使我们能够找到在冰和永久冻土融化过程中释放的两相材料的未冻结液相部分,这就确定了所研究问题的生物物理意义。
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引用次数: 0
Network analysis of the relationship between different heart rate variability metrics during sleep 睡眠期间不同心率变异性指标之间关系的网络分析
Pub Date : 2024-09-10 DOI: 10.1140/epjs/s11734-024-01318-9
Erik Leonardo Mateos-Salgado, José Esael Pineda-Sánchez, Fructuoso Ayala-Guerrero, Carlos Alberto Gutiérrez-Chávez

Heart rate variability (HRV) refers to the physiological phenomenon of variation in heartbeat duration, which can be characterized using various metrics. Considering a complex systems approach, in this study we used network modeling to quantitatively evaluate the relationship between different HRV metrics during sleep. Polysomnography recordings were performed on 24 healthy participants and their cardiac activity was sampled from the N2, N3, and REM sleep stages. Fifty-eight HRV metrics were calculated, and the relationship between each was assessed using mutual information (MI). One network was created for each sleep stage; HRV metrics constituted its nodes, and MI values were used to establish its edges. Repeated measures ANOVA was applied to each metric to assess variation between sleep stages. It was found that all three networks had characteristics of complex networks. Several communities of shared similar metrics were found across the three sleep stages. Of these, one community had the same metrics in stages N2 and N3, but in REM sleep was divided into three communities. REM sleep exhibited significant differences compared to the other sleep stages in several metrics. These preliminary findings allow us to suggest the application of this method in other HRV research contexts, which will determine its scope and limitations.

心率变异性(HRV)是指心跳持续时间变化的生理现象,可以用各种指标来描述。考虑到复杂的系统方法,我们在本研究中使用网络建模来定量评估睡眠期间不同心率变异指标之间的关系。我们对 24 名健康参与者进行了多导睡眠图记录,并从 N2、N3 和 REM 睡眠阶段对他们的心脏活动进行了采样。计算了 58 个心率变异指标,并使用互信息(MI)评估了每个指标之间的关系。每个睡眠阶段创建一个网络;心率变异指标构成其节点,MI 值用于建立其边缘。对每个指标进行重复测量方差分析,以评估不同睡眠阶段之间的差异。结果发现,这三个网络都具有复杂网络的特征。在这三个睡眠阶段中,发现了几个具有共同相似指标的群落。其中,一个群落在 N2 和 N3 阶段具有相同的指标,但在快速动眼期睡眠阶段则分为三个群落。与其他睡眠阶段相比,快速动眼期睡眠在多个指标上表现出明显差异。这些初步研究结果使我们能够建议在其他心率变异研究中应用这种方法,从而确定其应用范围和局限性。
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引用次数: 0
Investigating the quality measures of image enhancement by convoluting the coefficients of analytic functions 通过卷积解析函数系数研究图像增强的质量测量方法
Pub Date : 2024-09-09 DOI: 10.1140/epjs/s11734-024-01317-w
B. Nandhini, B. Sruthakeerthi

The aim of this research is to enhance image quality by applying convolution methods to a newly generalized subclass of an analytic function, (k-Omega S^*(rho ,beta )), which incorporates the concept of the Mittag-Leffer type Poisson distribution associated with starlike functions. Image enhancement processes, such as noise reduction, sharpening, and brightening, improve the image’s suitability for display or further analysis. The proposed method demonstrates superior results based on performance metrics including PSNR (Peak Signal-to-Noise Ratio), SSIM (Structural Similarity Index), MSQE (Mean Squared Error), RMSE (Root Mean Squared Error), PCC (Pearson Correlation Coefficient), and CIR (Contrast Improvement Ratio). For the flower dataset, the technique achieves values of 20.425 for PSNR, 0.8866 for SSIM, 765.044 for MSQE, 27.143 for RMSE, 0.1310 for PCC, and 0.9794 for CIR. Similarly, for the brain dataset, the quality metrics are 24.2981 for PSNR, 0.9773 for SSIM, 268.288 for MSQE, 16.0041 for RMSE, 0.9888 for PCC, and 0.2918 for CIR.

这项研究的目的是通过将卷积方法应用于解析函数的一个新的广义子类--(k-Omega S^*(rho ,beta ))--来提高图像质量,这个子类包含了与星状函数相关的 Mittag-Leffer 型泊松分布的概念。图像增强处理,如降噪、锐化和增亮,可提高图像的显示或进一步分析的适用性。根据 PSNR(峰值信噪比)、SSIM(结构相似性指数)、MSQE(均方误差)、RMSE(均方根误差)、PCC(皮尔逊相关系数)和 CIR(对比度改进率)等性能指标,所提出的方法显示出卓越的效果。对于花朵数据集,该技术的 PSNR 值为 20.425,SSIM 为 0.8866,MSQE 为 765.044,RMSE 为 27.143,PCC 为 0.1310,CIR 为 0.9794。同样,大脑数据集的质量指标为:PSNR 为 24.2981、SSIM 为 0.9773、MSQE 为 268.288、RMSE 为 16.0041、PCC 为 0.9888、CIR 为 0.2918。
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引用次数: 0
Acute lymphoblastic leukemia classification using persistent homology 利用持续同源性对急性淋巴细胞白血病进行分类
Pub Date : 2024-09-06 DOI: 10.1140/epjs/s11734-024-01301-4
Waqar Hussain Shah, Abdullah Baloch, Rider Jaimes-Reátegui, Sohail Iqbal, Syeda Rafia Fatima, Alexander N. Pisarchik

Acute Lymphoblastic Leukemia (ALL) is a prevalent form of childhood blood cancer characterized by the proliferation of immature white blood cells that rapidly replace normal cells in the bone marrow. The exponential growth of these leukemic cells can be fatal if not treated promptly. Classifying lymphoblasts and healthy cells poses a significant challenge, even for domain experts, due to their morphological similarities. Automated computer analysis of ALL can provide substantial support in this domain and potentially save numerous lives. In this paper, we propose a novel classification approach that involves analyzing shapes and extracting topological features of ALL cells. We employ persistent homology to capture these topological features. Our technique accurately and efficiently detects and classifies leukemia blast cells, achieving a recall of 98.2% and an F1-score of 94.6%. This approach has the potential to significantly enhance leukemia diagnosis and therapy.

急性淋巴细胞白血病(ALL)是一种常见的儿童血癌,其特点是未成熟白细胞增殖,迅速取代骨髓中的正常细胞。如果不及时治疗,这些白血病细胞的指数式增长可能会致命。由于淋巴母细胞和健康细胞形态相似,即使是领域专家也很难对它们进行分类。对 ALL 进行自动计算机分析可为这一领域提供大量支持,并有可能挽救无数生命。在本文中,我们提出了一种新颖的分类方法,包括分析 ALL 细胞的形状并提取拓扑特征。我们采用持久同源性来捕捉这些拓扑特征。我们的技术能准确、高效地检测白血病爆炸细胞并对其进行分类,召回率达到 98.2%,F1 分数达到 94.6%。这种方法有望大大提高白血病的诊断和治疗水平。
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引用次数: 0
Variation theory of interconnected chemical reactions 相互关联化学反应的变异理论
Pub Date : 2024-09-05 DOI: 10.1140/epjs/s11734-024-01313-0
Maxim V. Dudorov

The study of biological systems by methods of physical kinetics and non-equilibrium thermodynamics often faces the difficulty of studying nonlinear processes due to the significant deviation from equilibrium. In this paper, the new variation approach is proposed that allows us to generalize the patterns of chemical processes taking into account the influence of non-equilibrium effects.The study of interrelated chemical reactions is considered as one of the applications of this theory. The new method has been developed for the general description of the kinetics of several reactions, taking into account their mutual influence on each other. Practical examples and model calculations for several reactions with varying the degrees of influence on each other are considered. The calculations performed for the several reactions allowed us to evaluate their mutual influence on the change in the reaction rate, as well as on the change in the reaction reagents concentration over time. The results obtained can be used to describe complex chemical reactions in various systems.

用物理动力学和非平衡热力学的方法研究生物系统时,经常会遇到研究非线性过程的困难,因为这些过程严重偏离平衡状态。本文提出了一种新的变异方法,使我们能够在考虑非平衡态效应影响的情况下概括化学过程的模式。考虑到几个反应之间的相互影响,我们开发了一种新方法,用于对几个反应的动 力学进行一般描述。我们考虑了几个相互影响程度不同的反应的实际例子和模型计算。通过对几个反应的计算,我们可以评估它们对反应速率变化以及反应试剂浓度随时间变化的相互影响。所得结果可用于描述各种系统中的复杂化学反应。
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引用次数: 0
Complex dynamical analysis of a discrete memristive neural network and its DSP implementation 离散记忆神经网络的复杂动力学分析及其 DSP 实现
Pub Date : 2024-09-05 DOI: 10.1140/epjs/s11734-024-01320-1
Zhitang Han, Yinghong Cao, Bo Sun, Jun Mou

This paper introduces a discrete memristor model and verifies the correctness of the model through circuit simulation. A six-dimensional discrete neural network was built by coupling the Rulkov neuron and the KTZ neuron. Dynamical analyses show that this neural network has multiple firing patterns when the memristor parameters and coupling coefficient are varied in the appropriate ranges, such as periodic firing, quasi-periodic firing, chaotic firing, and hyperchaotic firing. In addition, the coexisting multiple firing patterns and state transition phenomena of this neural network are revealed. Finally, the complexity analysis shows that the generated chaotic sequences have high pseudo-randomness, and the hardware implementation is completed in the Digital Signal Processor (DSP). This paper provides a reference for the study of memristive neural networks and communication encryption.

本文介绍了一种离散忆阻器模型,并通过电路仿真验证了该模型的正确性。通过 Rulkov 神经元和 KTZ 神经元的耦合,建立了一个六维离散神经网络。动力学分析表明,当记忆器参数和耦合系数在适当范围内变化时,该神经网络具有多种发射模式,如周期性发射、准周期性发射、混沌发射和超混沌发射。此外,还揭示了该神经网络并存的多重发射模式和状态转换现象。最后,复杂性分析表明生成的混沌序列具有很高的伪随机性,并在数字信号处理器(DSP)中完成了硬件实现。本文为研究记忆神经网络和通信加密提供了参考。
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引用次数: 0
How random immigration impacts order–chaos transformations and extinction in population dynamics 随机移民如何影响种群动态中的有序-混乱转换和灭绝
Pub Date : 2024-09-03 DOI: 10.1140/epjs/s11734-024-01311-2
Lev Ryashko, Ivan Tsvetkov

Motivated by important ecological applications, we study how immigration and noise can drastically change patterns of behavior of population systems. We explore this problem on the base of the Ricker conceptual population model and focus on two questions: (i) how random immigration can change regular and chaotic dynamic regimes of survival; (ii) how random disturbances cause extinction of population. For the initial deterministic model, we overview the variety of dynamic regimes and their transformations depending on the growth rate and intensity of immigration. For the stochastic model that takes into account random fluctuations in immigration intensity, probabilistic mechanisms for transforming order into chaos are identified and the key role of chaotic transients is revealed. A parametric study of the important population phenomenon of noise-induced extinction is given. For mathematical study of the considered stochastic deformations, a new approach based on confidence domains for regular and chaotic attractors was proposed and successfully applied.

在重要生态应用的激励下,我们研究了移民和噪声如何极大地改变种群系统的行为模式。我们以里克概念种群模型为基础探讨这一问题,重点研究两个问题:(i) 随机移民如何改变有规律和混乱的生存动态机制;(ii) 随机干扰如何导致种群灭绝。对于最初的确定性模型,我们概述了各种动态机制及其随增长率和移民强度而发生的变化。对于考虑到移民强度随机波动的随机模型,我们确定了将有序转化为混乱的概率机制,并揭示了混乱瞬态的关键作用。对噪声诱导灭绝这一重要的种群现象进行了参数研究。为了对所考虑的随机变形进行数学研究,提出并成功应用了一种基于规则和混沌吸引子置信域的新方法。
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引用次数: 0
期刊
The European Physical Journal Special Topics
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