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Delayed coupling theory of vertebrate segmentation. 脊椎动物分割的延迟耦合理论。
Pub Date : 2009-01-01 Epub Date: 2008-12-10 DOI: 10.2976/1.3027088
Luis G Morelli, Saúl Ares, Leah Herrgen, Christian Schröter, Frank Jülicher, Andrew C Oates

Rhythmic and sequential subdivision of the elongating vertebrate embryonic body axis into morphological somites is controlled by an oscillating multicellular genetic network termed the segmentation clock. This clock operates in the presomitic mesoderm (PSM), generating dynamic stripe patterns of oscillatory gene-expression across the field of PSM cells. How these spatial patterns, the clock's collective period, and the underlying cellular-level interactions are related is not understood. A theory encompassing temporal and spatial domains of local and collective aspects of the system is essential to tackle these questions. Our delayed coupling theory achieves this by representing the PSM as an array of phase oscillators, combining four key elements: a frequency profile of oscillators slowing across the PSM; coupling between neighboring oscillators; delay in coupling; and a moving boundary describing embryonic axis elongation. This theory predicts that the segmentation clock's collective period depends on delayed coupling. We derive an expression for pattern wavelength across the PSM and show how this can be used to fit dynamic wildtype gene-expression patterns, revealing the quantitative values of parameters controlling spatial and temporal organization of the oscillators in the system. Our theory can be used to analyze experimental perturbations, thereby identifying roles of genes involved in segmentation.

细长的脊椎动物胚胎体轴有节奏和顺序地细分为形态体,是由一个称为分割时钟的振荡多细胞遗传网络控制的。这个时钟在体前中胚层(PSM)中运作,在PSM细胞的范围内产生振荡基因表达的动态条纹模式。这些空间模式、生物钟的集体周期和潜在的细胞水平的相互作用是如何联系在一起的,目前还不清楚。要解决这些问题,一个包含系统的地方和集体方面的时间和空间领域的理论是必不可少的。我们的延迟耦合理论通过将PSM表示为相位振荡器阵列来实现这一点,结合了四个关键要素:振荡器在PSM上减速的频率分布;相邻振子之间的耦合;耦合延迟;以及描述胚胎轴伸长的移动边界。该理论预测分割时钟的集体周期取决于延迟耦合。我们推导了PSM上模式波长的表达式,并展示了如何使用它来拟合动态野生型基因表达模式,揭示了控制系统中振荡器时空组织的参数的定量值。我们的理论可以用来分析实验扰动,从而确定参与分割的基因的作用。
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引用次数: 131
Highly thermosensitive Ca dynamics in a HeLa cell through IP(3) receptors. 通过IP(3)受体在HeLa细胞中的高度热敏钙动力学。
Pub Date : 2009-01-01 Epub Date: 2009-03-04 DOI: 10.2976/1.3073779
Vadim Tseeb, Madoka Suzuki, Kotaro Oyama, Kaoru Iwai, Shin'ichi Ishiwata

Intracellular Ca(2+) distribution and its dynamics are essential for various cellular functions. We show with single HeLa cells that a microscopic heat pulse induces Ca(2+) uptake into intracellular stores during heating and Ca(2+) release from them at the onset of recooling, and the overshoot of Ca(2+) release occurs above the critical value of a temperature change, which decreases from 1.5 to 0.2 degrees C on increasing the experimental temperature from 22 to 37 degrees C. This highly thermosensitive Ca(2+) dynamics is probably attributable to the altered balance between Ca(2+) uptake by endoplasmic reticulum Ca(2+)-ATPases and Ca(2+) release via inositol 1,4,5-trisphosphate receptors. These results suggest that Ca(2+) signaling is extremely sensitive to temperature changes, especially around body temperature, in cells expressing inositol 1,4,5-trisphosphate receptors.

细胞内Ca(2+)的分布及其动力学对各种细胞功能至关重要。我们在单个HeLa细胞中发现,在加热过程中,微小的热脉冲诱导Ca(2+)进入细胞内储存,在再冷却开始时,Ca(2+)从细胞中释放,并且Ca(2+)释放的超调发生在温度变化的临界值以上。这种高度热敏的Ca(2+)动力学可能是由于内质网Ca(2+)- atp酶摄取Ca(2+)和通过肌醇1,4,5-三磷酸受体释放Ca(2+)之间的平衡发生了改变。这些结果表明,在表达肌醇1,4,5-三磷酸受体的细胞中,Ca(2+)信号对温度变化非常敏感,特别是在体温周围。
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引用次数: 52
Fluid dynamics in developmental biology: moving fluids that shape ontogeny. 发育生物学中的流体动力学:塑造个体发育的流动流体。
Pub Date : 2009-01-01 Epub Date: 2008-12-30 DOI: 10.2976/1.3043738
Julyan H E Cartwright, Oreste Piro, Idan Tuval

Human conception, indeed fertilization in general, takes place in a fluid, but what role does fluid dynamics have during the subsequent development of an organism? It is becoming increasingly clear that the number of genes in the genome of a typical organism is not sufficient to specify the minutiae of all features of its ontogeny. Instead, genetics often acts as a choreographer, guiding development but leaving some aspects to be controlled by physical and chemical means. Fluids are ubiquitous in biological systems, so it is not surprising that fluid dynamics should play an important role in the physical and chemical processes shaping ontogeny. However, only in a few cases have the strands been teased apart to see exactly how fluid forces operate to guide development. Here, we review instances in which the hand of fluid dynamics in developmental biology is acknowledged, both in human development and within a wider biological context, together with some in which fluid dynamics is notable but whose workings have yet to be understood, and we provide a fluid dynamicist's perspective on possible avenues for future research.

人类的受孕,实际上是受精,通常是在流体中发生的,但流体动力学在生物体随后的发育过程中起着什么作用?越来越清楚的是,一个典型生物体基因组中的基因数量不足以说明其个体发育的所有特征的细节。相反,遗传学通常起着编舞的作用,指导发展,但留下一些方面由物理和化学手段控制。流体在生物系统中无处不在,因此流体动力学在形成个体发育的物理和化学过程中发挥重要作用也就不足为奇了。然而,只有在少数情况下,才将这些股分开,以确切地了解流体力是如何引导开发的。在这里,我们回顾了在人类发展和更广泛的生物学背景下,流体动力学在发育生物学中的作用得到承认的例子,以及一些流体动力学值得注意但其作用尚待理解的例子,我们为未来的研究提供了流体动力学学家的视角。
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引用次数: 68
How can mathematics help us explore vertebrate segmentation? 数学如何帮助我们探索脊椎动物的分割?
Pub Date : 2009-01-01 Epub Date: 2009-01-27 DOI: 10.2976/1.3072371
Ruth E Baker, Santiago Schnell

Since the discovery of gene products oscillating during the formation of vertebral segments, much attention has been directed toward eluciating the molecular basis of the so-called segmentation clock. What research has told us is, that even in the most simple vertebrates, enormously complicated gene networks act in each cell to give rise to oscillations, and that cell-cell communication synchronizes these oscillations between neighboring cells. A number of theories have been proposed to explain both the initiation and maintenance of oscillations in a single cell and the synchronization of such oscillations between cells. We discuss these theories in this Commentary.

自从发现基因产物在椎节形成过程中振荡以来,许多注意力都集中在阐明所谓的分割时钟的分子基础上。研究告诉我们,即使是在最简单的脊椎动物中,在每个细胞中,极其复杂的基因网络也会产生振荡,细胞间的交流使相邻细胞之间的振荡同步。已经提出了许多理论来解释单个细胞中振荡的开始和维持以及细胞间振荡的同步。我们在这篇评注中讨论这些理论。
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引用次数: 15
Analysis of the fitness effect of compensatory mutations. 补偿突变的适应效应分析。
Pub Date : 2009-01-01 Epub Date: 2008-12-03 DOI: 10.2976/1.2990075
Liqing Zhang, Layne T Watson

This paper extends previous work on the Darwinian evolutionary fitness effect of the fixation of deleterious mutations by incorporating compensatory mutations, which are mutations (deleterious by themselves) that ameliorate other deleterious mutations, thus reducing the genetic load of populations. Since having compensatory mutations essentially changes the distributional shapes of deleterious mutations, the effect of compensatory mutations is studied by comparing distributions of deleterious mutations without compensatory mutations to those with compensatory mutations. The effect of effective population size (N(e)), fitness distributional shape, and mutation rate on population fitness reduction is studied. Results indicate that, first, the smaller a population's N(e), the larger the effect of compensatory mutations on fitness recovery, and the compensatory effect increases sharply with decreasing N(e). Second, the larger the squared coefficient of variation in the fitness effect of deleterious mutations, the larger the effect of compensatory mutations. Third, for fixed N(e), the higher the rate of deleterious mutations, the more effective compensatory mutation is in fitness recovery, and this effect is more pronounced for smaller N(e).

补偿突变是一种能改善其他有害突变的突变(本身是有害的),从而减轻种群的遗传负荷。由于补偿突变从本质上改变了有害突变的分布形状,因此研究补偿突变的影响时,要比较没有补偿突变的有害突变和有补偿突变的有害突变的分布。研究了有效种群大小(N(e))、适合度分布形状和突变率对种群适合度降低的影响。结果表明:首先,种群的 N(e)越小,补偿突变对恢复体能的影响就越大,而且补偿效应随着 N(e)的减小而急剧增加。其次,有害突变对适应性影响的平方变异系数越大,补偿突变的作用就越大。第三,在 N(e)固定的情况下,有害突变率越高,补偿突变对适性恢复的作用就越大,这种效应在 N(e)较小的情况下更为明显。
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引用次数: 0
Spherical topology in cardiac simulations. 心脏模拟中的球面拓扑。
Pub Date : 2009-01-01 Epub Date: 2009-03-04 DOI: 10.2976/1.3074105
Steffan Puwal, Bradley J Roth, David Garfinkle

Computational simulations of the electrodynamics of cardiac fibrillation yield a great deal of useful data and provide a framework for theoretical explanations of heart behavior. Extending the application of these mathematical models to defibrillation studies requires that a simulation should sustain fibrillation without defibrillation intervention. In accordance with the critical mass hypothesis, the simulated tissue should be of a large enough size. The choice of biperiodic boundary conditions sustains fibrillation for a longer duration than no-flux boundary conditions for a given area, and so is commonly invoked. Here, we show how this leads to a boundary condition artifact that may complicate the analysis of defibrillation efficacy; we implement an alternative coordinate scheme that utilizes spherical shell topology and mitigates singularities in the Laplacian found with the usual spherical curvilinear coordinate system.

心脏颤动的电动力学计算模拟产生了大量有用的数据,并为心脏行为的理论解释提供了一个框架。将这些数学模型的应用扩展到除颤研究中,需要在没有除颤干预的情况下进行模拟。根据临界质量假设,模拟组织应该有足够大的尺寸。对于给定区域,选择双周期边界条件比选择无通量边界条件维持颤振的持续时间更长,因此常被调用。在这里,我们展示了这如何导致可能使除颤疗效分析复杂化的边界条件伪影;我们实现了一种替代的坐标方案,利用球壳拓扑和减轻奇异点在拉普拉斯发现与通常的球曲线坐标系。
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引用次数: 0
Active gels as a description of the actin-myosin cytoskeleton. 活性凝胶描述肌动蛋白-肌球蛋白细胞骨架。
Pub Date : 2009-01-01 Epub Date: 2009-01-06 DOI: 10.2976/1.3054712
Jean-François Joanny, Jacques Prost

This short review presents a qualitative introduction to the hydrodynamic theory of active polar gels and its applications to the mechanics of the cytoskeleton. Active polar gels are viscoelastic materials formed by polar filaments maintained in a nonequilibrium state by constant consumption of energy. In the cytoskeleton of eukaryotic cells, actin filaments are treadmilling and form a viscoelastic gel interacting with myosin molecular motors driven by the hydrolysis of adenosine triphosphate; one can thus consider the actomyosin cytoskeleton as an active polar gel. The hydrodynamic description is generic as it only relies on symmetry arguments. We first use the hydrodynamic approach to discuss the spontaneous generation of flow in an active polar film. Then we give two examples of applications to lamellipodium motility and to instabilities of cortical actin.

本文简要介绍了活性极性凝胶的流体力学理论及其在细胞骨架力学中的应用。活性极性凝胶是由极性细丝通过不断消耗能量而保持非平衡状态形成的粘弹性材料。在真核细胞的细胞骨架中,肌动蛋白丝在三磷酸腺苷水解的驱动下与肌球蛋白分子马达相互作用,形成粘弹性凝胶;因此可以把肌动球蛋白细胞骨架看作是一种活性极性凝胶。流体力学描述是通用的,因为它只依赖于对称参数。我们首先用流体力学的方法讨论了活性极性膜中流动的自发产生。然后我们给出了两个应用于板基运动和皮质肌动蛋白不稳定性的例子。
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引用次数: 167
Who moves whom during primitive streak formation in the chick embryo. 在鸡胚的原始条纹形成过程中,谁移动谁。
Pub Date : 2009-01-01 Epub Date: 2009-03-31 DOI: 10.2976/1.3103933
Manli Chuai, Cornelis J Weijer

Gastrulation is a critical stage in the development of all vertebrates. During gastrulation mesendoderm cells move inside the embryo to form the gut, muscles, and skeleton. In amniotes the mesendoderm cells move inside the embryo through a structure known as the primitive streak, extending from the posterior pole anterior through the midline of the embryo. Primitive streak formation involves large scale cell flows of a layer of highly polarized epithelial epiblast cells. The epiblast is separated from a lower layer of hypoblast cells through a well developed basal lamina. Recent experiments in which in vivo extracellular matrix dynamics was followed via labeling with fibronectin specific fluorescent antibodies and time-lapse microscopy have suggested that extracellular matrix dynamics essentially coincides with the observed epiblast cell displacements (Zamir et al., 2008, PLoS Biol 6, e247). These observations raise the important question of who moves whom and where do cells derive traction. We discuss these matters and their implications for our understanding of the mechanisms underlying cell flows during primitive streak formation in the chick embryo.

原肠形成是所有脊椎动物发育的关键阶段。在原肠形成过程中,中胚层细胞在胚胎内移动,形成肠道、肌肉和骨骼。在羊膜动物中,中胚层细胞通过一种称为原始条纹的结构在胚胎内移动,这种结构从胚胎的后极向前延伸,穿过胚胎的中线。原始条纹的形成涉及一层高度极化的上皮外胚层细胞的大规模细胞流动。外胚层通过发育良好的基层从下层的下胚层细胞中分离出来。最近通过纤维连接蛋白特异性荧光抗体标记和延时显微镜跟踪体内细胞外基质动力学的实验表明,细胞外基质动力学基本上与观察到的外胚层细胞位移一致(Zamir et al., 2008, PLoS Biol 6, e247)。这些观察结果提出了一个重要的问题:谁在移动谁,细胞在哪里获得牵引力。我们讨论这些问题和他们的含义,我们的理解在鸡胚原始条纹形成过程中潜在的细胞流动机制。
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引用次数: 25
Nucleocytoplasmic transport: a thermodynamic mechanism. 核细胞质运输:一种热力学机制。
Pub Date : 2009-01-01 Epub Date: 2009-03-18 DOI: 10.2976/1.3080807
Ronen Benjamine Kopito, Michael Elbaum

The nuclear pore supports molecular communication between cytoplasm and nucleus in eukaryotic cells. Selective transport of proteins is mediated by soluble receptors, whose regulation by the small GTPase Ran leads to cargo accumulation in, or depletion from, the nucleus, i.e., nuclear import or nuclear export. We consider the operation of this transport system by a combined analytical and experimental approach. Provocative predictions of a simple model were tested using cell-free nuclei reconstituted in Xenopus egg extract, a system well suited to quantitative studies. We found that accumulation capacity is limited, so that introduction of one import cargo leads to egress of another. Clearly, the pore per se does not determine transport directionality. Moreover, different cargo reach a similar ratio of nuclear to cytoplasmic concentration in steady-state. The model shows that this ratio should in fact be independent of the receptor-cargo affinity, though kinetics may be strongly influenced. Numerical conservation of the system components highlights a conflict between the observations and the popular concept of transport cycles. We suggest that chemical partitioning provides a framework to understand the capacity to generate concentration gradients by equilibration of the receptor-cargo intermediary.

真核细胞的核孔支持细胞质和细胞核之间的分子通讯。蛋白质的选择性运输是由可溶性受体介导的,其由小GTPase Ran调控,导致货物在细胞核中积累或消耗,即核输入或核输出。我们用分析和实验相结合的方法来考虑这个输运系统的运行。对一个简单模型的挑衅性预测进行了测试,使用在爪蟾卵提取物中重建的无细胞核,这是一个非常适合定量研究的系统。我们发现积累能力是有限的,因此一种进口货物的引入导致另一种进口货物的出口。显然,孔隙本身并不能决定输运方向。此外,不同的货物在稳定状态下达到相似的核与细胞质浓度比。该模型表明,该比率实际上应该独立于受体-货物亲和力,尽管动力学可能受到强烈影响。系统成分的数值守恒突出了观测结果与流行的输运周期概念之间的冲突。我们认为,化学分配提供了一个框架,以了解产生浓度梯度的能力,通过平衡的受体-货物中介。
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引用次数: 31
Throwing a glance at the neural code: rapid information transmission in the visual system. 看一眼神经编码:信息在视觉系统中的快速传递。
Pub Date : 2009-01-01 Epub Date: 2008-12-03 DOI: 10.2976/1.3027089
Tim Gollisch

Our visual system can operate at fascinating speeds. Psychophysical experiments teach us that the processing of complex natural images and visual object recognition require a mere split second. Even in everyday life, our gaze seldom rests for long on any particular spot of the visual scene before a sudden movement of the eyes or the head shifts it to a new location. These observations challenge our understanding of how neurons in the visual system of the brain represent, process, and transmit the relevant visual information quickly enough. This article argues that the speed of visual processing provides an adjuvant framework for studying the neural code in the visual system. In the retina, which constitutes the first stage of visual processing, recent experiments have highlighted response features that allow for particularly rapid information transmission. This sets the stage for discussing some of the fundamental questions in the research of neural coding. How do downstream brain regions read out signals from the retina and combine them with intrinsic signals that accompany eye movements? And, how do the neural response features ultimately affect perception and behavior?

我们的视觉系统可以以惊人的速度运作。心理物理学实验告诉我们,处理复杂的自然图像和视觉对象识别只需要一瞬间。即使在日常生活中,我们的目光也很少在视觉场景的某个特定点停留很长时间,然后眼睛或头部会突然移动,将目光转移到一个新的位置。这些观察结果挑战了我们对大脑视觉系统中神经元如何足够快地表征、处理和传递相关视觉信息的理解。本文认为视觉处理速度为研究视觉系统中的神经编码提供了一个辅助框架。视网膜构成了视觉处理的第一阶段,最近的实验强调了反应特征,它允许特别快速的信息传递。这为讨论神经编码研究中的一些基本问题奠定了基础。大脑的下游区域是如何读取来自视网膜的信号,并将它们与伴随眼球运动的内在信号结合起来的?神经反应特征最终是如何影响感知和行为的?
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引用次数: 28
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