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Unraveling the role of exercise in cancer suppression: insights from a mathematical model. 揭示运动在抑制癌症中的作用:数学模型的启示
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2024-11-07 DOI: 10.1088/1478-3975/ad899d
Jay Taylor, T Bagarti, Niraj Kumar

Recent experimental studies have shown that physical exercise has the potential to suppress tumor progression. Such suppression has been reported to be mediated by the exercise-induced activation of natural killer (NK) cells through the release of IL-6, a cytokine. Aimed at shedding light on how exercise-induced NK cell activation helps in the suppression of cancer, we developed a coarse-grained mathematical model based on a system of ordinary differential equations describing the interaction between IL-6, NK-cells, and tumor cells. The model is then used to study how exercise duration and exercise intensity affect tumor suppression. Our results show that increasing exercise intensity or increasing exercise duration leads to greater and sustained tumor suppression. Furthermore, multi-bout exercise patterns hold promise for improving cancer treatment strategies by adjusting exercise intensity and frequency. Thus, the proposed mathematical model provides insights into the role of exercise in tumor suppression and can be instrumental in guiding future experimental studies, potentially leading to more effective exercise interventions.

最近的实验研究表明,体育锻炼有可能抑制肿瘤的发展。据报道,这种抑制作用是通过释放细胞因子 IL-6 激活自然杀伤(NK)细胞介导的。为了揭示运动诱导的 NK 细胞活化如何帮助抑制癌症,我们开发了一个粗粒度数学模型 ,该模型基于一个常微分方程系统 ,描述了 IL-6、NK 细胞和肿瘤细胞之间的相互作用。然后利用该模型研究运动持续时间和运动强度如何影响肿瘤抑制。我们的研究结果表明,增加运动强度或延长运动时间会导致更强、更持久的肿瘤抑制作用。 此外,多回合运动模式有望通过调整运动强度和频率来改善癌症治疗策略。 因此,所提出的数学模型有助于深入了解运动在抑制肿瘤中的作用,并有助于指导未来的实验研究,从而可能带来更有效的运动干预措施。
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引用次数: 0
An exactly solvable model for RNA polymerase during the elongation stage. 延伸阶段 RNA 聚合酶的精确可解模型
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2024-11-06 DOI: 10.1088/1478-3975/ad899e
Ngo P N Ngoc, Vladimir Belitsky, Gunter M Schütz

We consider a Markovian model for the kinetics of RNA Polymerase (RNAP) which provides a physical explanation for the phenomenon of cooperative pushing during transcription elongation observed in biochemical experiments onEscherichia coliand yeast RNAP. To study how backtracking of RNAP affects cooperative pushing we incorporate into this model backward (upstream) RNAP moves. With a rigorous mathematical treatment of the model we derive conditions on the mutual static and kinetic interactions between RNAP under which backtracking preserves cooperative pushing. This is achieved by exact computation of several key properties in the steady state of this model, including the distribution of headway between two RNAP along the DNA template and the average RNAP velocity and flux.

我们对 RNA 聚合酶(RNAP)动力学的马尔可夫模型进行了研究,该模型为{it Escherichia coli} 和酵母 RNAP 的生化实验中观察到的转录延伸过程中的合作推动现象提供了物理解释。为了研究 RNAP 的回溯如何影响合作推动,我们在该模型中加入了 RNAP 的后向(上游)移动。通过对模型进行严格的数学处理,我们推导出了RNAP之间相互静态和动力学相互作用的条件,在这些条件下,反向追踪可以保持合作推动。这是通过精确计算该模型稳态中的几个关键属性实现的,包括两个 RNAP 沿 DNA 模板的前进方向分布以及 RNAP 的平均速度和 flux. .
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引用次数: 0
A theoretical framework for predicting the heterogeneous stiffness map of brain white matter tissue. 预测大脑白质组织异质硬度图的理论框架
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2024-10-30 DOI: 10.1088/1478-3975/ad88e4
Poorya Chavoshnejad, Guangfa Li, Akbar Solhtalab, Dehao Liu, Mir Jalil Razavi

Finding the stiffness map of biological tissues is of great importance in evaluating their healthy or pathological conditions. However, due to the heterogeneity and anisotropy of biological fibrous tissues, this task presents challenges and significant uncertainty when characterized only by single-mode loading experiments. In this study, we propose a new theoretical framework to map the stiffness landscape of fibrous tissues, specifically focusing on brain white matter tissue. Initially, a finite element (FE) model of the fibrous tissue was subjected to six loading cases, and their corresponding stress-strain curves were characterized. By employing multiobjective optimization, the material constants of an equivalent anisotropic material model were inversely extracted to best fit all six loading modes simultaneously. Subsequently, large-scale FE simulations were conducted, incorporating various fiber volume fractions and orientations, to train a convolutional neural network capable of predicting the equivalent anisotropic material properties solely based on the fibrous architecture of any given tissue. The proposed method, leveraging brain fiber tractography, was applied to a localized volume of white matter, demonstrating its effectiveness in precisely mapping the anisotropic behavior of fibrous tissue. In the long-term, the proposed method may find applications in traumatic brain injury, brain folding studies, and neurodegenerative diseases, where accurately capturing the material behavior of the tissue is crucial for simulations and experiments.

找到生物组织的刚度图对于评估其健康或病理状况非常重要。然而,由于生物纤维组织的异质性和各向异性,如果仅通过单模加载实验来确定其特征,这项任务就会面临挑战和极大的不确定性。在本研究中,我们提出了一个新的理论框架,用于绘制纤维组织的刚度图,尤其侧重于脑白质组织。首先,对纤维组织的有限元模型施加六种加载情况,并对其相应的应力-应变曲线进行表征。通过多目标优化,反向提取了等效各向异性材料模型的材料常数,以同时最佳地拟合所有六种加载模式。随后,结合各种纤维体积分数和方向,进行了大规模有限元模拟,以训练一个卷积神经网络,该网络能够完全根据任何给定组织的纤维结构预测等效各向异性材料特性。该方法利用脑纤维束成像技术,应用于白质的局部体积,证明了其在精确绘制纤维组织各向异性行为方面的有效性。从长远来看,该方法可应用于脑外伤、大脑折叠研究和神经退行性疾病,在这些领域,准确捕捉组织的材料行为对模拟和实验至关重要。
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引用次数: 0
Variability in individual native fibrin fiber mechanics. 单个原生纤维蛋白纤维力学的变异性
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2024-10-30 DOI: 10.1088/1478-3975/ad899f
Christine C Helms

Fibrin fibers are important structural elements in blood coagulation. They form a mesh network that acts as a scaffold and imparts mechanical strength to the clot. A review of published work measuring the mechanics of fibrin fibers reveals a range of values for fiber extensibility. This study investigates fibrinogen concentration as a variable responsible for variability in fibrin mechanics. It expands previous work to describe the modulus, strain hardening, extensibility, and the force required for fiber failure when fibers are formed with different fibrinogen concentrations using lateral force atomic force microscopy. Analysis of the mechanical properties showed fibers formed from 1 mg ml-1and 2 mg ml-1fibrinogen had significantly different mechanical properties. To help clarify our findings we developed two behavior profiles to describe individual fiber mechanics. The first describes a fiber with low initial modulus and high extensible, that undergoes significant strain hardening, and has moderate strength. Most fibers formed with 1 mg ml-1fibrinogen had this behavior profile. The second profile describes a fiber with a high initial modulus, minimal strain hardening, high strength, and low extensibility. Most fibrin fibers formed with 2 mg ml-1fibrinogen were described by this second profile. In conclusion, we see a range of behaviors from fibers formed from native fibrinogen molecules but various fibrinogen concentrations. Potential differences in fiber formation are investigated with SEM. It is likely this range of behaviors also occursin vivo. Understanding the variability in mechanical properties could contribute to a deeper understanding of pathophysiology of coagulative disorders.

纤维蛋白纤维是血液凝固过程中的重要结构元素。它们形成的网状结构起到支架的作用,并赋予血凝块机械强度。对已发表的纤维蛋白纤维力学测量工作进行回顾后发现,纤维延伸性的数值范围不一。本研究将纤维蛋白原浓度作为导致纤维蛋白力学变化的一个变量进行研究。它扩展了之前的工作,利用横向力原子力显微镜描述了不同浓度纤维蛋白原形成纤维时的模量、应变硬化、延伸性和纤维断裂所需的力。机械性能分析表明,1 毫克/毫升和 2 毫克/毫升纤维蛋白原形成的纤维具有明显不同的机械性能。为了帮助澄清我们的发现,我们开发了两种行为曲线来描述单个纤维的力学特性。第一种描述的是初始模量低、可延展性高的纤维,这种纤维会发生明显的应变硬化,并具有中等强度。使用 1 毫克/毫升纤维蛋白原形成的大多数纤维都具有这种行为特征。第二种纤维具有高初始模量、最小应变硬化、高强度和低延伸性。大多数使用 2 毫克/毫升纤维蛋白原形成的纤维蛋白纤维都具有第二种特征。总之,我们可以看到由原生纤维蛋白原分子和不同浓度的纤维蛋白原形成的纤维具有不同的行为。用扫描电镜研究了纤维形成的潜在差异。这一系列行为很可能也发生在体内。了解机械性能的变化有助于深入理解凝血障碍的病理生理学。
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引用次数: 0
Low shear-induced fibrillar fibronectin: comparative analyses of morphologies and cellular effects on bovine aortic endothelial cell adhesion and proliferation. 低剪切力诱导的纤连蛋白:对牛主动脉内皮细胞粘附和增殖的形态和细胞效应的比较分析。
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2024-10-18 DOI: 10.1088/1478-3975/ad838c
Hoang-Nghi Mai-Thi, Dang Phu-Hai Nguyen, Phong Le, Ngoc Quyen Tran, Cam Tu Tran, Volker R Stoldt, Khon Huynh

Wall shear stress (WSS) is a critical factor in vascular biology, and both high and low WSS are implicated in atherosclerosis. Fibronectin (FN) is a key extracellular matrix protein that plays an important role in cell activities. Under high shear stress, plasma FN undergoes fibrillogenesis; however, its behavior under low shear stress remains unclear. This study aimed to investigate the formation ofin vitrocell-free fibrillar FN (FFN) under low shear rate conditions and its effect on bovine aortic endothelial cell behavior. FN (500µg ml-1) was perfused through slide chambers at three flow rates (0.16 ml h-1, 0.25 ml h-1, and 0.48 ml h-1), corresponding to low shear rates of 0.35 s-1, 0.55 s-1, and 1.05 s-1, respectively, for 4 h at room temperature. The formed FN matrices were observed using fluorescence microscopy and scanning electron microscopy. Under low shear rates, distinct FN matrix structures were observed. FFN0.48 formed immense fibrils with smooth surfaces, FFN0.25 formed a matrix with a rough surface, and FFN16 exhibited nodular structures. FFN0.25 supported cell activities to a greater extent than native FN and other FFN surfaces. Our study suggests that abnormally low shear conditions impact FN structure and function and enhance the understanding of FN fibrillogenesis in vascular biology, particularly in atherosclerosis.

壁剪切应力(WSS)是血管生物学中的一个关键因素,高、低WSS均与动脉粥样硬化有关。纤连蛋白(FN)是一种关键的细胞外基质蛋白,在细胞活动中发挥着重要作用。在高剪切应力作用下,血浆 FN(pFN)会发生纤维化;但在低剪切应力作用下,其行为仍不清楚。本研究旨在探讨低剪切率条件下体外无细胞纤溶 FN(FFN)的形成及其对牛主动脉内皮细胞行为的影响。将 FN(500 µg/ml)以三种流速(0.16 ml/h、0.25 ml/h 和 0.48 ml/h)(分别对应 0.35 s-1、0.55 s-1 和 1.05 s-1 的低剪切率)在室温下通过玻片室灌注 4 小时。使用荧光显微镜和扫描电镜观察了形成的 FN 基质。在低剪切率条件下,可观察到明显的 FN 基质结构。FFN0 .48 形成了表面光滑的细小纤维,FFN0.25 形成了表面粗糙的基质,而 FFN16 则呈现出结节状结构。与原生 FN 和其他 FFN 表面相比,FFN0.25 支持细胞活动的程度更高。我们的研究表明,异常低剪切力条件会影响 FN 的结构和功能,并加深了人们对血管生物学中 FN 纤维生成的了解,尤其是在动脉粥样硬化中。
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引用次数: 0
Exploring sperm cell rheotaxis in microfluidic channel: the role of flow and viscosity. 探索微流控通道中精子细胞的流变性:流动和粘度的作用
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2024-09-24 DOI: 10.1088/1478-3975/ad7b1a
Dhiraj B Puri, Paul Jacob, Vadiraj Hemadri, Arnab Banerjee, Siddhartha Tripathi

Rheotaxis is a fundamental mechanism of sperm cells that guides them in navigating towards the oocyte. The present study investigates the phenomenon of sperm rheotaxis in Newtonian and non-Newtonian fluid media, which for the first time explores a viscosity range equivalent to that of the oviductal fluid of the female reproductive tract in rectilinear microfluidic channels. Three parameters, the progressive velocity while performing rheotaxis, the radius of rotation during rheotaxis, and the percentage of rheotactic sperm cells in the bulk and near-wall regions of the microfluidic channel were measured. Numerical simulations of the flow were conducted to estimate the shear rate, flow velocity, and the drag force acting on the sperm head at specific locations where the sperms undergo rheotaxis. Increasing the flow velocity resulted in a change in the position of rheotactic sperm from the bulk center to the near wall region, an increase and subsequent decrease in the sperm's upstream progressive velocity, and a decrease in the radius of rotation. We observed that with an increase in viscosity, rheotactic sperms migrate to the near wall regions at lower flow rates, the upstream progressive velocity of the sperm decreases for Newtonian and increases for non-Newtonian media, and the radius of rotation increases for Newtonian and decreases for non-Newtonian media. These results quantify the effects of fluid properties such as viscosity and flow rate on sperm rheotaxis and navigation, thereby paving the way for manipulating sperm behavior in microfluidic devices, potentially leading to advancements in assisted reproduction techniques.

流变性是精子细胞的一种基本机制,它引导精子向卵母细胞方向航行。本研究探讨了精子在牛顿和非牛顿流体介质中的流变现象,首次探索了直角微流体通道中与女性生殖道输卵管液粘度范围相当的粘度。该研究测量了三个参数,即流变时的渐进速度、流变过程中的旋转半径以及流变精子细胞在微流体通道内壁和近壁区域的百分比。对流动进行了数值模拟,以估算精子发生流变时特定位置的剪切率、流速和作用在精子头部的阻力。提高流速会导致发生流变的精子的位置从体积中心变为近壁区域,精子的上游渐进速度随之增大和减小,旋转半径也随之减小。我们观察到,随着粘度的增加,流变精子会以较低的流速迁移到近壁区域,精子的上游前进速度在牛顿介质中会降低,而在非牛顿介质中会增加,旋转半径在牛顿介质中会增加,而在非牛顿介质中会减小。这些结果量化了粘度和流速等流体特性对精子流变和导航的影响,从而为在微流体设备中操纵精子的行为铺平了道路,有可能推动辅助生殖技术的发展。
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引用次数: 0
Application of coincidence index in the discovery of co-expressed metabolic pathways. 共现指数在发现共表达代谢途径中的应用
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2024-08-29 DOI: 10.1088/1478-3975/ad68b6
João Paulo Cassucci Dos Santos, Odemir Martinez Bruno

Analyzing transcription data requires intensive statistical analysis to obtain useful biological information and knowledge. A significant portion of this data is affected by random noise or even noise intrinsic to the modeling of the experiment. Without robust treatment, the data might not be explored thoroughly, and incorrect conclusions could be drawn. Examining the correlation between gene expression profiles is one way bioinformaticians extract information from transcriptomic experiments. However, the correlation measurements traditionally used have worrisome shortcomings that need to be addressed. This paper compares five already published and experimented-with correlation measurements to the newly developed coincidence index, a similarity measurement that combines Jaccard and interiority indexes and generalizes them to be applied to vectors containing real values. We used microarray and RNA-Seq data from the archaeonHalobacterium salinarumand the bacteriumEscherichia coli, respectively, to evaluate the capacity of each correlation/similarity measurement. The utilized method explores the co-expressed metabolic pathways by measuring the correlations between the expression levels of enzymes that share metabolites, represented in the form of a weighted graph. It then searches for local maxima in this graph using a simulated annealing algorithm. We demonstrate that the coincidence index extracts larger, more comprehensive, and more statistically significant pathways for microarray experiments. In RNA-Seq experiments, the results are more limited, but the coincidence index managed the largest percentage of significant components in the graph.

分析转录数据需要进行深入的统计分析,以获得有用的生物信息和知识。这些数据中有很大一部分受到随机噪声甚至是实验建模固有噪声的影响。如果不进行稳健的处理,可能无法对数据进行透彻的研究,从而得出错误的结论。研究基因表达谱之间的相关性是生物信息学家从转录组实验中提取信息的一种方法。然而,传统使用的相关性测量方法存在令人担忧的缺陷,需要加以解决。本文比较了五种已发表和实验过的相关性测量方法和新开发的巧合指数,巧合指数是一种相似性测量方法,它结合了雅卡德指数和内部性指数,并将它们推广应用于包含实值的向量。我们使用了分别来自古生物 Halobacterium salinarum 和大肠杆菌的微阵列和 RNA-Seq 数据来评估每种相关性/相似性测量方法的能力。所使用的方法通过测量共享代谢物的酶的表达水平之间的相关性来探索共表达的代谢途径,以加权图的形式表示。然后使用模拟退火算法在该图中寻找局部最大值。我们证明,巧合指数能为微阵列实验提取更大、更全面、更具统计意义的路径。在 RNA-Seq 实验中,结果较为有限,但重合指数在图中管理了最大比例的重要成分。
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引用次数: 0
Design principles of multi-map variation in biological systems. 生物系统中多图谱变异的设计原理。
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2024-07-10 DOI: 10.1088/1478-3975/ad5d6c
Juan F Poyatos

Complexity in biology is often described using a multi-map hierarchical architecture, where the genotype, representing the encoded information, is mapped to the functional level, known as the phenotype, which is then connected to a latent phenotype we refer to as fitness. This underlying architecture governs the processes driving evolution. Furthermore, natural selection, along with other neutral forces, can, in turn, modify these maps. At each level, variation is observed. Here, I propose the need to establish principles that can aid in understanding the transformation of variation within this multi-map architecture. Specifically, I will introduce three, related to the presence of modulators, constraints, and the modular channeling of variation. By comprehending these design principles in various biological systems, we can gain better insights into the mechanisms underlying these maps and how they ultimately contribute to evolutionary dynamics.

生物学中的复杂性通常使用多映射分层结构来描述,其中代表编码信息的基因型被映射到功能层面,即所谓的表型,然后再与我们称之为 "适应性 "的潜在表型相连接。这一基本架构支配着驱动进化的过程。此外,自然选择和其他中性力量也会反过来改变这些映射。在每一个层次上,我们都能观察到变异。在此,我提出有必要建立一些原则,以帮助理解这种多图谱结构中的变异转换。具体来说,我将介绍与调制器的存在、制约因素和变异的模块化渠道有关的三项原则。通过理解各种生物系统中的这些设计原则,我们可以更好地了解这些图谱的内在机制,以及它们最终是如何促进进化动态的。
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引用次数: 0
Instabilities and self-organization in spatiotemporal epidemic dynamics driven by nonlinearity and noise. 非线性和噪声驱动的时空流行动力学中的不稳定性和自组织。
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2024-07-10 DOI: 10.1088/1478-3975/ad5d6a
Aman Kumar Singh, Subramanian Ramakrishnan, Manish Kumar

Theoretical analysis of epidemic dynamics has attracted significant attention in the aftermath of the COVID-19 pandemic. In this article, we study dynamic instabilities in a spatiotemporal compartmental epidemic model represented by a stochastic system of coupled partial differential equations (SPDE). Saturation effects in infection spread-anchored in physical considerations-lead to strong nonlinearities in the SPDE. Our goal is to study the onset of dynamic, Turing-type instabilities, and the concomitant emergence of steady-state patterns under the interplay between three critical model parameters-the saturation parameter, the noise intensity, and the transmission rate. Employing a second-order perturbation analysis to investigate stability, we uncover both diffusion-driven and noise-induced instabilities and corresponding self-organized distinct patterns of infection spread in the steady state. We also analyze the effects of the saturation parameter and the transmission rate on the instabilities and the pattern formation. In summary, our results indicate that the nuanced interplay between the three parameters considered has a profound effect on the emergence of dynamical instabilities and therefore on pattern formation in the steady state. Moreover, due to the central role played by the Turing phenomenon in pattern formation in a variety of biological dynamic systems, the results are expected to have broader significance beyond epidemic dynamics.

在 COVID-19 大流行之后,流行病动力学的理论分析引起了人们的极大关注。在本文中,我们研究了由耦合偏微分方程(SPDE)随机系统表示的时空分区流行病模型中的动态不稳定性。感染传播中的饱和效应--基于物理考虑--导致 SPDE 中的强非线性。我们的目标是研究动态图灵型不稳定性的发生,以及在三个关键模型参数--饱和参数、噪声强度和传播率--的相互作用下随之出现的稳态模式。通过二阶扰动分析研究稳定性,我们发现了扩散驱动的不稳定性和噪声诱导的不稳定性,以及稳态下感染传播的相应自组织独特模式 。我们还分析了饱和参数 和传播率对不稳定性和模式形成的影响。总之,我们的结果 表明,所考虑的三个参数之间的微妙相互作用对动态不稳定性的出现以及稳态下的模式形成有着深远的影响 。此外,由于图灵现象在多种生物动态系统的模式形成中发挥着核心作用 ,这些结果有望在流行病 动力学之外产生更广泛的意义。
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引用次数: 0
Tradeoffs in the design of RNA thermometers. RNA 温度计设计中的取舍。
IF 2 4区 生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY Pub Date : 2024-07-10 DOI: 10.1088/1478-3975/ad5d6b
Krishan Kumar Gola, Abhilash Patel, Shaunak Sen

The synthesis of RNA thermometers is aimed at achieving temperature responses with desired thresholds and sensitivities. Although previous works have generated thermometers with a variety of thresholds and sensitivities as well as guidelines for design, possible constraints in the achievable thresholds and sensitivities remain unclear. We addressed this issue using a two-state model and its variants, as well as melt profiles generated from thermodynamic computations. In the two-state model, we found that the threshold was inversely proportional to the sensitivity, in the case of a fixed energy difference between the two states. Notably, this constraint could persist in variations of the two-state model with sequentially unfolding states and branched parallel pathways. Furthermore, the melt profiles generated from a library of thermometers exhibited a similar constraint. These results should inform the design of RNA thermometers as well as other responses that are mediated in a similar fashion.

合成 RNA 温度计的目的是获得具有所需阈值和灵敏度的温度响应。虽然以前的工作已经生成了具有各种阈值和灵敏度的温度计以及设计指南,但在可实现的阈值和灵敏度方面可能存在的限制仍不清楚。我们利用双态模型及其变体,以及热力学计算生成的熔融曲线来解决这一问题。在双态模型中,我们发现在两种状态之间能量差固定的情况下,阈值与灵敏度成反比。值得注意的是,在双态模型的变体中,如果存在顺序展开的状态和分支并行途径,这种约束条件就会持续存在。此外,从温度计库中生成的熔融曲线也表现出类似的约束。这些结果将有助于设计 RNA 温度计以及以类似方式介导的其他反应。
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引用次数: 0
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