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Single cell electrophysiological alterations under dynamic loading at ultrasonic frequencies 超声频率动态加载下单细胞电生理变化
Q3 Engineering Pub Date : 2021-01-01 DOI: 10.1016/j.brain.2021.100031
M. Tamayo-Elizalde, C. Kayal, H. Ye, A. Jérusalem

The use of ultrasound as a non-invasive means to modulate neuronal electrophysiological signals in experimental in vivo and in vitro models has recently been gaining momentum. Paradoxically, the intrinsic mechanisms linking high-frequency minute mechanical vibrations to electrophysiological alterations at the cellular scale are yet to be identified in this context. To this end, this work combines patch clamp and nanoindentation to study the action potential alterations induced by direct mechanical vibrations at ultrasonic frequencies of dorsal root ganglion-derived neuronal single cells. The characteristics of the action potentials are studied under oscillatory shear loadings of 25 and 50 nm displacement amplitudes at frequencies ranging from 250 kHz to 1 MHz. Results show significantly narrower action potentials, with faster depolarisations and shorter rising and falling phases when induced after 1 MHz. The faster action potential dynamics appearing once the oscillation is removed points towards a cumulative or lagged effect of mechanical stimulation at ultrasonic frequencies, also observed in ultrasound neuromodulation studies. It is hypothesised here that this action potential modulation arises as a consequence of remarkable membrane properties changes induced above a threshold frequency, situated between 370 kHz and 960 kHz, and possibly related to membrane stiffening and membrane phase state alterations. These observations demonstrate the ability of mechanical cues at the cellular level to modify the neuronal signal and assert the importance of the direct mechanical vibrations induced by ultrasound stimulation protocols in assisting the observed neuromodulatory effects.

Statement of Significance

In the last few decades, transcranial ultrasound stimulation (TUS) has established itself as one of the most promising non-invasive neuromodulating techniques. In particular, by avoiding both the lack of spatial specificity and surgical needs plaguing other established techniques, TUS offers new avenues for the treatment of neurological diseases. In order to enhance its specificity and efficacy, and, ultimately, optimise the sonication parameters for a given application, a better understanding of the underlying mechanisms linking mechanical vibrations to electrophysiological alterations is needed. By focusing on this coupling down to the cellular scale, this work demonstrates at the cellular scale that a transition between 400 kHz and 1 MHz exists above which mechanical vibrations are able to modulate the neuronal action potential by accelerating its dynamics.

近年来,超声作为一种非侵入性手段在体内和体外实验模型中调节神经元电生理信号的研究势头日益增强。矛盾的是,在这种情况下,将高频微小机械振动与细胞尺度上的电生理改变联系起来的内在机制尚未被确定。为此,本研究结合膜片钳和纳米压痕技术,研究了超声频率下直接机械振动对背根神经节源性神经元单细胞动作电位的影响。在250 kHz至1 MHz频率范围内,研究了位移幅度为25和50 nm的振荡剪切载荷下的动作电位特性。结果表明,在1 MHz后诱导时,动作电位明显变窄,去极化更快,上升和下降相更短。在超声神经调节研究中也观察到,一旦振荡消除,出现的更快的动作电位动力学指向超声频率下机械刺激的累积效应或滞后效应。这里假设,这种动作电位调制是由于高于阈值频率(位于370 kHz和960 kHz之间)引起的显著膜特性变化而引起的,并且可能与膜硬化和膜相态改变有关。这些观察结果证明了机械信号在细胞水平上改变神经元信号的能力,并断言超声刺激方案诱导的直接机械振动在协助观察到的神经调节作用中的重要性。在过去的几十年里,经颅超声刺激(TUS)已经成为最有前途的非侵入性神经调节技术之一。特别是,通过避免空间特异性的缺乏和困扰其他成熟技术的手术需求,TUS为神经系统疾病的治疗提供了新的途径。为了提高其特异性和有效性,并最终优化给定应用的超声参数,需要更好地理解将机械振动与电生理改变联系起来的潜在机制。通过关注这种耦合到细胞尺度,这项工作表明,在细胞尺度上,存在一个介于~ 400 kHz和~ 1 MHz之间的过渡,在此过渡之上,机械振动能够通过加速其动力学来调节神经元动作电位。
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引用次数: 3
Awareness and confidence in perceptual decision-making 感性决策的意识和信心
Q3 Engineering Pub Date : 2021-01-01 DOI: 10.1016/j.brain.2021.100030
Joshua Skewes , Chris Frith , Morten Overgaard

Perceptual decision-making employs a range of higher order metacognitive processes. Two of the most important of these are perceptual awareness; or the clarity with which one reports seeing a perceptual stimulus, and response confidence; or the certainty one has about the correctness of one's own perceptual categorizations. We used a novel false feedback paradigm to investigate the relationships between these two processes. We asked people to perform a standard psychophysical detection task. We used feedback to selectively intervene either on our participants’ trust in their own perceptual awareness of the stimulus, or on their confidence in their own responses. We measured the effects of these interventions on response accuracy; on reports of perceptual awareness; and on response confidence. We found that by undermining people's trust in their awareness of the sensory stimulus, we could reliably reduce their accuracy on the task. We suggest that the reason this occurred is that people came to rely less on evidence from their senses when making perceptual decisions. We conclude by suggesting that there is a not a one-to-one mapping between content in conscious experience and how that content is used in perceptual decision making, and that one's perception of the reliability of content also plays a role.

Statement of Significance

This paper explores how different kinds of metacognitive state are related to one another and to perceptual decision making. Our focus is on the states of metacognitive confidence and perceptual awareness. We examine how an intervention on the reliability of these states influences performance in a perceptual detection task. We also examine how the intervention influences reports of the states themselves. The intervention we use is false feedback. For one group of participants, we tell them their perceptual judgement is wrong whenever they report they are uncertain in their choice (confidence intervention). For another group, we tell them their judgement is wrong whenever they report that their experience of the stimulus is unclear (awareness intervention). We find that both interventions reduce the accuracy of people's judgements, but that the awareness intervention is more effective. Also, we find that only the awareness intervention reduces reports of both metacognitive confidence in the response, and awareness of the stimuli. The confidence intervention does not influence either metacognitive state. These results suggest that we should understand confidence and awareness as separate higher level cognitive states, and that we should understand awareness as having a stronger causal role than confidence in perception and performance.

知觉决策采用一系列高阶元认知过程。其中最重要的两个是感知意识;或者一个人报告看到知觉刺激时的清晰度,以及反应信心;或者一个人对自己的知觉分类的正确性的确定性。我们使用了一种新的错误反馈范式来研究这两个过程之间的关系。我们要求人们执行一个标准的心理物理检测任务。我们使用反馈来选择性地干预我们的参与者对他们自己对刺激的感知意识的信任,或者他们对自己反应的信心。我们测量了这些干预措施对反应准确性的影响;关于知觉知觉的报告;在回应信心方面。我们发现,通过削弱人们对感官刺激意识的信任,我们可以可靠地降低他们在任务中的准确性。我们认为,发生这种情况的原因是,人们在做出感性决定时,越来越少地依赖于来自感官的证据。我们的结论是,在意识体验中的内容与如何在感知决策中使用内容之间并不是一对一的映射,而且一个人对内容可靠性的感知也起着作用。本文探讨了不同类型的元认知状态之间的相互关系以及与知觉决策的关系。我们的重点是元认知自信和知觉意识的状态。我们研究了对这些状态的可靠性的干预如何影响感知检测任务中的性能。我们还研究了干预如何影响国家本身的报告。我们使用的干预是虚假反馈。对于一组参与者,我们告诉他们,他们的感知判断是错误的,每当他们报告他们不确定自己的选择(信心干预)。对于另一组,当他们报告他们对刺激的体验不清楚时,我们告诉他们他们的判断是错误的(意识干预)。我们发现,两种干预都降低了人们判断的准确性,但意识干预更有效。此外,我们发现只有意识干预减少了对反应的元认知信心和对刺激的意识的报告。信心干预对两种元认知状态均无影响。这些结果表明,我们应该将自信和意识理解为独立的更高层次的认知状态,并且我们应该将意识理解为在感知和表现方面比信心具有更强的因果作用。
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引用次数: 5
Fractal and multifractal characterization of in vitro respiratory recordings of the pre-Bötzinger complex pre-Bötzinger复合体体外呼吸记录的分形和多重分形表征
Q3 Engineering Pub Date : 2021-01-01 DOI: 10.1016/j.brain.2021.100026
Ulises Paredes-Hernández , Patricia Pliego-Pastrana , Enrique Vázquez-Mendoza , Consuelo Morgado-Valle , Luis Beltran-Parrazal , Arturo Criollo-Perez , Erika Elizabeth Rodriguez-Torres

The pre-Bötzinger complex is a neural network located in the ventrolateral brainstem that generates the respiratory rhythm. Under normoxic conditions, this area shows two inspiratory burst patterns, sigh and non-sigh. Several studies have shown that in vitro application of peptides, such as bombesin, stimulates the respiratory rate and increases the appearance of sighs. However, it is difficult to distinguish between sighs and non-sighs waveforms, which makes it difficult to study their properties under experimental conditions. The fractal and multifractal analysis have proven to be valuable tools for studying physiological time series, thus in this study, we applied this methodology to characterize sighs and non-sighs. Our results regarding fractality, shown that the sighs and non-sighs have similar Hurst exponents and that the application of bombesin only decreased the Hurst exponent of non-sighs. On the other hand, our results on multifractality parameters scaling exponent (τ(q)) and generalized Hurst exponent (H(q)) shown that both sighs and non-sighs were multifractal and this remained even after the application of bombesin. Further analysis showed that sighs and non-sighs had different H(q) values, which changed after the bombesin application. To quantitatively analyzed the multifractal spectrum, we calculated the area of the spectrum (Iα), which was similar between sighs and non-sighs and the application of bombesin did not change this. Altogether, these results show that the analysis of fractal and multifractal parameters allows to characterize and find statistical differences of sighs and non-sighs within and between different experimental conditions.

Statement of Significance

The characterization of the respiratory recordings is very difficult and time consuming when is done manually by a researcher. An automated software that can aid this can be very useful. Furthermore, this gives some parameters that can help to statistically differentiate between sighs and non sighs. One interesting finding was that multifractality show differences in the same condition between sighs and non sighs. Also, we found that the neuropeptide bombesin increases the number of sighs without changing the intrinsic structure of the respiration system. This is important to avoid the collapse of the lungs that can be incorporated in mechanical ventilators. We hope that you will find our paper suitable for publication in Brain Multiphysics and will look forward to receiving your response.

pre-Bötzinger复合体是位于腹外侧脑干的神经网络,产生呼吸节律。在正常条件下,该区域表现出两种吸气爆发模式,叹气和非叹气。几项研究表明,在体外应用多肽,如bombesin,可以刺激呼吸频率,增加叹息的出现。然而,叹气和非叹气波形很难区分,这给在实验条件下研究它们的特性带来了困难。分形和多重分形分析已被证明是研究生理时间序列的有价值的工具,因此在本研究中,我们应用这种方法来表征叹息和非叹息。我们关于分形的结果表明,叹气和不叹气具有相似的Hurst指数,并且bombesin的应用仅降低了不叹气的Hurst指数。另一方面,我们对多重分形参数标度指数(τ(q))和广义Hurst指数(H(q))的结果表明,叹息和非叹息都是多重分形的,即使在使用bombesin之后,这种情况仍然存在。进一步分析表明,叹气和不叹气的H(q)值不同,在使用bombesin后,H(q)值发生了变化。为了定量分析多重分形谱,我们计算了谱的面积(Iα),在叹息和非叹息之间的面积相似,并且bombesin的使用没有改变这一点。总之,这些结果表明,分形和多重分形参数的分析可以表征和发现不同实验条件下和不同实验条件下的叹息和非叹息的统计差异。研究人员手动完成呼吸记录的表征是非常困难和耗时的。一个自动化的软件,可以帮助这是非常有用的。此外,这提供了一些参数,可以帮助统计区分叹气和不叹气。一个有趣的发现是,在相同的条件下,多重分形在叹气和不叹气之间表现出差异。同时,我们发现神经肽bombesin在不改变呼吸系统固有结构的情况下增加了叹气的数量。这对于避免肺部塌陷是很重要的,可以结合机械呼吸机。我们希望您会发现我们的论文适合发表在Brain Multiphysics上,并期待收到您的回复。
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引用次数: 0
A quantitative relationship between rotational head kinematics and brain tissue strain from a 2-D parametric finite element analysis 基于二维参数有限元分析的旋转头部运动学与脑组织应变之间的定量关系
Q3 Engineering Pub Date : 2021-01-01 DOI: 10.1016/j.brain.2021.100024
Rika Wright Carlsen , Alice Lux Fawzi , Yang Wan , Haneesh Kesari , Christian Franck

Given the complex nature of traumatic brain injury (TBI), assessment of injury risk directly from kinematic measures of head motion remains a challenge. Despite this challenge, kinematic-based measures of injury continue to be widely used to guide the design of protective equipment. In an effort to provide more insight into the relationship between rotational head kinematics and injury risk, we have conducted a large scale parametric finite element analysis (FEA) to investigate the role of angular acceleration, angular velocity, and angular jerk on the brain tissue strains and strain rates. The peak strains and strain rates resulting from rotational head accelerations were obtained for peak angular accelerations ranging from 0.5 - 25 krad/s2 and peak angular velocities ranging from 10 - 100 rad/s. The results of this study show that both angular acceleration and angular velocity have a significant effect on the peak tissue strains and strain rates, reinforcing the importance of accounting for both of these kinematic measures when evaluating injury risk. For a given magnitude of peak angular acceleration and angular velocity, increases in angular jerk are shown to have minimal effect on the peak tissue strains but can lead to an increase in the peak tissue strain rates. This advancement in our understanding of the relationship between angular head kinematics, tissue strain, and tissue strain rate is an important step toward developing improved kinematic-based measures of injury.

Statement of Significance

To reduce the risk of traumatic brain injury, we must first fully understand the relationship between impact-induced head motions and the brain deformation response. Large deformations of the brain have been shown to cause damage to neural cells and can result in long-term neurocognitive deficits. This study investigates the role of angular acceleration, angular velocity, and angular jerk on the tissue strains and strain rates that develop in the brain. By providing further insight into how each of these kinematic parameters affect the brain deformation response, we can begin to identify the types of head motions that are the most injurious and develop new targeted approaches to reduce the risk of injury.

鉴于创伤性脑损伤(TBI)的复杂性,直接从头部运动的运动学测量来评估损伤风险仍然是一个挑战。尽管存在这一挑战,基于运动学的损伤测量继续被广泛用于指导防护设备的设计。为了更深入地了解旋转头部运动学与损伤风险之间的关系,我们进行了大规模参数化有限元分析(FEA),以研究角加速度、角速度和角跳对脑组织应变和应变率的作用。在角加速度峰值范围为0.5 ~ 25 krad/s2,角速度峰值范围为10 ~ 100 rad/s时,得到了旋转头部加速度引起的峰值应变和应变率。本研究结果表明,角加速度和角速度对峰值组织应变和应变速率都有显著影响,这加强了在评估损伤风险时考虑这两种运动学指标的重要性。对于一个给定的峰值角加速度和角速度的大小,角猛的增加对峰值组织应变的影响最小,但可以导致峰值组织应变率的增加。我们对角头部运动学、组织应变和组织应变率之间关系的理解取得了进步,这是朝着开发改进的基于运动学的损伤测量迈出的重要一步。为了降低创伤性脑损伤的风险,我们必须首先充分了解撞击引起的头部运动与大脑变形反应之间的关系。大脑的大变形已被证明会对神经细胞造成损害,并可能导致长期的神经认知缺陷。本研究探讨了角加速度、角速度和角抖动对脑组织应变和应变率的影响。通过进一步了解这些运动学参数如何影响大脑变形反应,我们可以开始识别最具伤害性的头部运动类型,并开发新的有针对性的方法来降低受伤的风险。
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引用次数: 20
Integrating material properties from magnetic resonance elastography into subject-specific computational models for the human brain 将磁共振弹性成像的材料特性整合到特定主题的人脑计算模型中
Q3 Engineering Pub Date : 2021-01-01 DOI: 10.1016/j.brain.2021.100038
Ahmed Alshareef , Andrew K. Knutsen , Curtis L. Johnson , Aaron Carass , Kshitiz Upadhyay , Philip V. Bayly , Dzung L. Pham , Jerry L. Prince , K.T. Ramesh

Advances in brain imaging and computational methods have facilitated the creation of subject-specific computational brain models that aid researchers in investigating brain trauma using simulated impacts. The emergence of magnetic resonance elastography (MRE) as a non-invasive mechanical neuroimaging tool has enabled in vivo estimation of material properties at low-strain, harmonic loading. An open question in the field has been how this data can be integrated into computational models. The goals of this study were to use a novel MRI dataset acquired in human volunteers to generate models with subject-specific anatomy and material properties, and then to compare simulated brain deformations to subject-specific brain deformation data under non-injurious loading. Models of five subjects were simulated with linear viscoelastic (LVE) material properties estimated directly from MRE data. Model predictions were compared to experimental brain deformation acquired in the same subjects using tagged MRI. Outcomes from the models matched the spatial distribution and magnitude of the measured peak strain components as well as the 95th percentile in-plane peak strains within 0.005 mm/mm and maximum principal strain within 0.012 mm/mm. Sensitivity to material heterogeneity was also investigated. Simulated brain deformations from a model with homogenous brain properties and a model with brain properties discretized with up to ten regions were very similar (a mean absolute difference less than 0.0015 mm/mm in peak strains). Incorporating material properties directly from MRE into a biofidelic subject-specific model is an important step toward future investigations of higher-order model features and simulations under more severe loading conditions.

Statement of Significance

The study presents a method to calibrate and evaluate subject-specific finite element brain models using a combination of advanced magnetic resonance imaging (MRI) data. The imaging data is acquired in human volunteers and includes anatomical MRI, magnetic resonance elastography (MRE), and tagged MRI to generate subject-specific geometry, calibrate subject-specific material properties, and evaluate simulation response using subject-specific brain deformation. This dataset of MRE and tagged MRI allows for a unique evaluation of whether material properties from MRE can be used to create biofidelic computational models of the human brain. The study develops a calibration procedure to readily calculate linear viscoelastic material parameters from MRE data and then provides a sensitivity study of the effect of mechanical heterogeneity of the brain on simulation response. The calibrated computational models are used to simulate each subject's tagged MRI experiment; the results show good agreement between the simulated and experimental strain fields. The presented study and results will be informative in guiding the calibration of subject-specific computati

脑成像和计算方法的进步促进了特定学科计算脑模型的创建,帮助研究人员通过模拟冲击来研究脑创伤。磁共振弹性成像(MRE)作为一种非侵入性机械神经成像工具的出现,使得在低应变、谐波载荷下对材料特性的体内估计成为可能。该领域的一个悬而未决的问题是如何将这些数据集成到计算模型中。本研究的目的是使用在人类志愿者中获得的新的MRI数据集来生成具有受试者特定解剖结构和材料特性的模型,然后将模拟的大脑变形与非损伤载荷下的受试者特定大脑变形数据进行比较。用直接从MRE数据估计的线性粘弹性(LVE)材料特性对5个对象的模型进行了模拟。将模型预测与使用标记MRI在同一受试者中获得的实验脑变形进行比较。模型结果与实测峰值应变分量的空间分布和大小相吻合,且第95百分位平面内峰值应变在0.005 mm/mm范围内,最大主应变在0.012 mm/mm范围内。对材料异质性的敏感性也进行了研究。具有均匀脑特性的模型和具有多达十个区域的脑特性的模型模拟的脑变形非常相似(峰值应变的平均绝对差小于0.0015 mm/mm)。将材料特性直接从MRE中纳入生物领域特定模型是未来研究高阶模型特征和在更严重载荷条件下进行模拟的重要一步。该研究提出了一种结合先进的磁共振成像(MRI)数据校准和评估受试者特定的有限元脑模型的方法。成像数据是在人类志愿者中获得的,包括解剖MRI、磁共振弹性成像(MRE)和标记MRI,以生成受试者特定的几何形状,校准受试者特定的材料特性,并使用受试者特定的大脑变形来评估模拟反应。MRE和标记MRI的数据集允许对MRE的材料特性是否可用于创建人类大脑的生物模拟计算模型进行独特的评估。该研究开发了一种校准程序,可以从MRE数据中轻松计算线性粘弹性材料参数,然后提供了大脑机械异质性对模拟反应影响的灵敏度研究。校正后的计算模型用于模拟每个受试者的标记MRI实验;结果表明,模拟应变场与实验应变场吻合较好。本文的研究和结果将指导基于实验MRE数据的特定受试者计算脑模型的校准。经过处理的MRI、MRE和标记的MRI数据可在https://www.nitrc.org/projects/bbir/上公开获取。
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引用次数: 9
Role of axonal fibers in the cortical folding patterns: A tale of variability and regularity 轴突纤维在皮层折叠模式中的作用:一个变异性和规律性的故事
Q3 Engineering Pub Date : 2021-01-01 DOI: 10.1016/j.brain.2021.100029
Poorya Chavoshnejad , Xiao Li , Songyao Zhang , Weiying Dai , Lana Vasung , Tianming Liu , Tuo Zhang , Xianqiao Wang , Mir Jalil Razavi

Cortical folding is one of the most complex processes that occur during the normal development of the human brain. Despite variability in folding patterns of different individuals, there are a few specific types of preserved folding patterns within individuals or across species. The origin and formation mechanism of variable or regular folding patterns in the human brain yet remains to be thoroughly explored. This study aims to delineate how the interplay between the differential tangential growth of cerebral cortex and axonal fiber tension induces and regulates the folding patterns in a developing human brain. To achieve this aim, an image-based multiscale mechanical model on the basis of the embedded nonlinear finite element method is employed to investigate a set of growth and folding scenarios. Our results show that the differential growth between cortical and subcortical layers is the main inducer of cortical folding. In addition, the gyrification of the cortex pulls the areas with a high density of stiff axonal fiber bundles towards gyri rather than sulci; therefore, axonal fiber bundles induce symmetry breaking, and regulate the folding patterns. In particular, spatial distribution of axonal fiber bundles is the determinant factor to control the locations of gyri and sulci. In conclusion, we propose that neural wiring might be the main regulator of folding patterns responsible for the formation of regular cortical folding patterns. This study provides a deeper understanding of cortical folding and its morphogenesis which are the key to interpreting normal brain development and growth.

Statement of Significance

There is a vital need to discover the role of axonal fibers of the brain’s connectivity on the formation and modulation of folding patterns in the developing human brain. The lack of knowledge of the physical interplay between cortical folding and neural wiring is a critical barrier to the fundamental understanding of the relationship between cortical folding, brain connectivity, and brain function in different neurodevelopmental stages. This study by using image-based multiscale mechanical models investigates the role of the differential tangential growth of cerebral cortex and axonal fibers in the formation and regulation of the folding patterns in the developing human brain. This is the first study to explain why despite variation in folding patterns, there are some specific types of regular shapes within individuals or across species and why axonal fibers connected to gyri in the human brain are typically denser than those connected to sulci. The study has a positive impact on the deeper understanding of cortical folding and its morphogenesis that is the key to interpreting the normal development of the human brain during the early stages of growth.

皮层折叠是人类大脑正常发育过程中最复杂的过程之一。尽管不同个体的折叠模式存在差异,但在个体内部或跨物种中保留了一些特定类型的折叠模式。人类大脑中可变或规则折叠模式的起源和形成机制仍有待深入探讨。本研究旨在描述大脑皮层的差异切向生长和轴突纤维张力之间的相互作用如何诱导和调节发育中的人脑折叠模式。为了实现这一目标,采用基于嵌入式非线性有限元方法的基于图像的多尺度力学模型来研究一组生长和折叠场景。我们的研究结果表明,皮层和皮层下层之间的差异生长是皮层折叠的主要诱因。此外,皮层的回转性将具有高密度硬轴突纤维束的区域拉向脑回而不是脑沟;因此,轴突纤维束诱导对称性断裂,并调节折叠模式。特别是轴突纤维束的空间分布是控制脑回和脑沟位置的决定性因素。总之,我们提出神经线路可能是负责形成规则皮层折叠模式的折叠模式的主要调节器。这项研究提供了对皮层折叠及其形态发生的更深入的了解,这是解释正常大脑发育和生长的关键。目前迫切需要发现大脑连接的轴突纤维在发育中的人脑折叠模式的形成和调节中的作用。缺乏对皮层折叠和神经连接之间的物理相互作用的认识是对皮层折叠、大脑连接和不同神经发育阶段大脑功能之间关系的基本理解的关键障碍。本研究利用基于图像的多尺度力学模型,探讨了大脑皮层和轴突纤维的切向差异生长在发育中的大脑折叠模式的形成和调节中的作用。这是第一个解释为什么尽管折叠模式存在差异,但在个体或物种之间存在一些特定类型的规则形状,以及为什么人类大脑中与脑回相连的轴突纤维通常比与脑沟相连的轴突纤维密度更大的研究。该研究对深入理解皮层折叠及其形态发生具有积极意义,是解释人类大脑生长早期正常发育的关键。
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引用次数: 15
A two-field computational model couples cellular brain development with cortical folding 一个双场计算模型将细胞脑发育与皮层折叠结合起来
Q3 Engineering Pub Date : 2021-01-01 DOI: 10.1016/j.brain.2021.100025
M.S. Zarzor , S. Kaessmair , P. Steinmann , I. Blümcke , S. Budday

The convoluted macroscopic shape of the mammalian brain plays an important role for brain function. To date, the link between the cellular processes during brain development and normal or abnormal cortical folding on the macroscopic scale remains insufficiently understood. Disruption of cellular division, migration, or connectivity may lead to malformations of cortical development associated with neurological disorders like schizophrenia, autism, or epilepsy. Here, we use a computational model, which couples an advection-diffusion model with finite growth, to assess the link between cellular division and migration on the cell scale and growth and cortical folding on the tissue or organ scale. It introduces the cell density as independent field controlling volumetric growth. This allows us to numerically study the influence of cell migration velocity, cell diffusivity, and the temporally changing local stiffness of brain tissue on the cortical folding process during normal brain development. We show that the model is capable of capturing the local distribution of cells through the comparison with histologically stained sections of the developing human brain. Our results further demonstrate that it is important to take temporal changes in tissue stiffness into account, which naturally occur during brain development. The present study constitutes an important step towards a computational model that could help to better understand, diagnose, and, eventually, treat neurological disorders arising from abnormal cellular development and cortical malformations.

Statement of Significance

While it is now well established that mechanical instabilities play an important role for cortical folding in the developing human brain, the mechanisms on the cellular scale leading to those macroscopic structural changes remain insufficiently understood. Here, we demonstrate that a two-field mechanical model coupling cell division and migration with volume growth is capable of capturing the spatial and temporal distribution of the cell density and the corresponding cortical folding pattern observed in the human fetal brain. The presented model provides a platform to obtain important insights into the cellular mechanisms underlying normal cortical folding and, even more importantly, malformations of cortical development.

哺乳动物大脑错综复杂的宏观形状对大脑功能起着重要作用。迄今为止,在宏观尺度上,大脑发育过程中细胞过程与正常或异常皮层折叠之间的联系仍未得到充分的了解。细胞分裂、迁移或连通性的破坏可能导致与精神分裂症、自闭症或癫痫等神经系统疾病相关的皮质发育畸形。在这里,我们使用一个计算模型,它结合了平流-扩散模型与有限生长,以评估细胞尺度上的细胞分裂和迁移与组织或器官尺度上的生长和皮层折叠之间的联系。它引入了细胞密度作为控制体积生长的独立场。这使我们能够在数值上研究正常大脑发育过程中细胞迁移速度、细胞扩散率和脑组织局部刚度的暂时变化对皮质折叠过程的影响。我们表明,该模型能够捕获细胞的局部分布,通过与组织学染色的部分发育的人类大脑的比较。我们的研究结果进一步表明,考虑到组织刚度的时间变化是很重要的,这在大脑发育过程中自然发生。目前的研究是迈向计算模型的重要一步,该模型可以帮助更好地理解、诊断并最终治疗由异常细胞发育和皮质畸形引起的神经系统疾病。虽然现在已经确定,机械不稳定性在发育中的人脑皮层折叠中起着重要作用,但在细胞尺度上导致这些宏观结构变化的机制仍然不够清楚。在这里,我们证明了一个耦合细胞分裂和迁移与体积增长的双场力学模型能够捕捉到在人类胎儿大脑中观察到的细胞密度的时空分布和相应的皮层折叠模式。提出的模型提供了一个平台,以获得对正常皮质折叠的细胞机制的重要见解,更重要的是,皮质发育的畸形。
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引用次数: 20
A sensitivity analysis of a mathematical model for the synergistic interplay of amyloid beta and tau on the dynamics of Alzheimer’s disease 淀粉样蛋白β和tau蛋白对阿尔茨海默病动力学的协同相互作用的数学模型的敏感性分析
Q3 Engineering Pub Date : 2021-01-01 DOI: 10.1016/j.brain.2020.100020
Michiel Bertsch , Bruno Franchi , Valentina Meschini , Maria Carla Tesi , Andrea Tosin

We propose a mathematical model for the onset and progression of Alzheimer’s disease based on transport and diffusion equations. We treat brain neurons as a continuous medium and structure them by their degree of malfunctioning. Three different mechanisms are assumed to be relevant for the temporal evolution of the disease: i) diffusion and agglomeration of soluble Amyloid beta, ii) effects of phosphorylated tau protein and iii) neuron-to-neuron prion-like transmission of the disease. We model these processes by a system of Smoluchowski equations for the Amyloid beta concentration, an evolution equation for the dynamics of tau protein and a kinetic-type transport equation for the distribution function of the degree of malfunctioning of neurons. The latter equation contains an integral term describing the random onset of the disease as a jump process localized in particularly sensitive areas of the brain. We are particularly interested in investigating the effects of the synergistic interplay of Amyloid beta and tau on the dynamics of Alzheimer’s disease. The output of our numerical simulations, although in 2D with an over-simplified geometry, is in good qualitative agreement with clinical findings concerning both the disease distribution in the brain, which varies from early to advanced stages, and the effects of tau on the dynamics of the disease.

Statement of Significance

We propose an in silico study of the onset and progression of Alzheimer’s disease (AD) in the brain by means of a mathematical model formulated in terms of kinetic and macroscopic integro-differential equations. From the biological side, our model takes into account the synergistic effect of Amiloid beta and phosphorylated tau protein and investigates the impact of their interplay on AD dynamics. From the mathematical side, unlike several other models present in the literature, our model does not focus on the detailed description of specific intra-cellular biochemical processes. It takes instead an aggregate point of view and, thanks to a multiscale approach inspired by statistical mechanics, describes the spatio-temporal patterns of the degree of neuronal malfunctioning due to AD in macroscopic portions of the brain tissue.

我们提出了一个基于传输和扩散方程的阿尔茨海默病发病和发展的数学模型。我们将大脑神经元视为一个连续的介质,并根据它们的故障程度来构建它们。三种不同的机制被认为与疾病的时间演变有关:1)可溶性淀粉样蛋白的扩散和聚集,2)磷酸化tau蛋白的作用,3)疾病的神经元到神经元的朊病毒样传播。我们通过淀粉样蛋白浓度的Smoluchowski方程系统、tau蛋白动力学的演化方程系统和神经元故障程度分布函数的动力学型运输方程系统来模拟这些过程。后一个方程包含一个积分项,描述了疾病的随机发作,作为一个局限于大脑特别敏感区域的跳跃过程。我们特别感兴趣的是研究β -淀粉样蛋白和tau蛋白的协同相互作用对阿尔茨海默病动力学的影响。我们的数值模拟的输出,虽然是二维的,几何形状过于简化,但在定性上与临床发现很好地一致,这些发现涉及到疾病在大脑中的分布,从早期到晚期的变化,以及tau对疾病动力学的影响。我们提出了一项关于阿尔茨海默病(AD)在大脑中的发病和进展的计算机研究,通过动力学和宏观积分微分方程的数学模型来表述。从生物学角度来看,我们的模型考虑了淀粉样蛋白β和磷酸化tau蛋白的协同效应,并研究了它们的相互作用对AD动力学的影响。从数学方面来看,与文献中的其他几个模型不同,我们的模型并不侧重于特定细胞内生化过程的详细描述。相反,它采用了一个集合的观点,并且由于受统计力学启发的多尺度方法,描述了AD在脑组织宏观部分引起的神经元故障程度的时空模式。
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引用次数: 14
Hyperelastic material properties of axonal fibers in brain white matter 脑白质轴突纤维的超弹性材料特性
Q3 Engineering Pub Date : 2021-01-01 DOI: 10.1016/j.brain.2021.100035
Poorya Chavoshnejad , Guy K. German , Mir Jalil Razavi

Accurate characterization of the mechanical properties of the human brain at both microscopic and macroscopic length scales is a critical requirement for modeling of traumatic brain injury and brain folding. To date, most experimental studies that employ classical tension/compression/shear tests report the mechanical properties of the brain averaged over both the gray and white matter within the macroscopic regions of interest. As a result, there is a missing correlation between the independent mechanical properties of the microscopic constituent elements and the composite bulk macroscopic mechanical properties of the tissue. This microstructural computational study aims to inversely predict the hyperelastic mechanical properties of the axonal fibers and their surrounding extracellular matrix (ECM) from the bulk tissue's mechanical properties. We develop a representative volume element (RVE) model of the bulk tissue consisting of axonal fibers and ECM with the embedded element technique. A multiobjective optimization technique is implemented to calibrate the model and establish the independent mechanical properties of axonal fibers and ECM based on seven previously reported experimental mechanical tests for bulk white matter tissue from the corpus callosum. The result of the study shows that the discrepancy between the reported values for the elastic behavior of white matter in literature stems from the anisotropy of the tissue at the microscale. The shear modulus of the axonal fiber is seven times larger than the ECM, with axonal fibers that also show greater nonlinearity, contrary to the common assumption that both components exhibit identical nonlinear characteristics.

Statement of significance

The reported mechanical properties of white matter microstructure used in traumatic brain injury or brain mechanics studies vary widely, in some cases by up to two orders of magnitude. Currently, the material parameters of the white matter microstructure are identified by a single loading mode or ultimately two modes of the bulk tissue. The presented material models only define the response of the bulk and homogenized white matter at a macroscopic scale and cannot explicitly capture the connection between the material properties of microstructure and bulk structure. To fill this knowledge gap, our study characterizes the hyperelastic material properties of axonal fibers and ECM using microscale computational modeling and multiobjective optimization. The hyperelastic material properties for axonal fibers and ECM presented in this study are more accurate than previously proposed because they have been optimized using seven or six loading modes of the bulk tissue, which were previously limited to only two of the seven possible loading modes. As such, the predicted values with high accuracy could be used in various computational modeling studies. The systematic characterization of the material properties of the human brain t

在微观和宏观尺度上准确表征人脑的力学特性是创伤性脑损伤和脑折叠建模的关键要求。迄今为止,大多数采用经典张力/压缩/剪切测试的实验研究报告了大脑在宏观区域内灰质和白质的平均力学性能。因此,微观组成元素的独立力学性能与组织的复合体宏观力学性能之间缺乏相关性。本微结构计算研究旨在从体组织的力学特性反向预测轴突纤维及其周围细胞外基质(ECM)的超弹性力学特性。我们利用嵌入单元技术建立了具有代表性的由轴突纤维和ECM组成的体积单元(RVE)模型。基于先前报道的7项胼胝体白质组织的力学实验,采用多目标优化技术对模型进行校准,并建立轴突纤维和外膜的独立力学特性。研究结果表明,文献报道的白质弹性行为值之间的差异源于组织在微观尺度上的各向异性。轴突纤维的剪切模量比ECM大7倍,轴突纤维也显示出更大的非线性,这与通常认为两种成分具有相同的非线性特性的假设相反。在创伤性脑损伤或脑力学研究中所报道的白质微观结构的力学性质差别很大,在某些情况下相差可达两个数量级。目前,白质微观结构的材料参数是通过单一加载模式或最终的体组织的两种模式来确定的。现有的材料模型仅在宏观尺度上定义了体和均质白质的响应,不能明确地捕捉材料微观结构与体结构之间的联系。为了填补这一知识空白,我们的研究利用微尺度计算建模和多目标优化来表征轴突纤维和ECM的超弹性材料特性。本研究中提出的轴突纤维和ECM的超弹性材料特性比以前提出的更准确,因为它们已经使用了7或6种体组织的加载模式进行了优化,而以前仅限于7种可能的加载模式中的两种。因此,具有较高精度的预测值可用于各种计算建模研究。在宏观和微观尺度上系统地表征人类脑组织的材料特性将导致更准确的计算预测,这将使人们更好地理解损伤标准,并对智能保护系统的改进发展产生积极影响,更准确地预测大脑发育和疾病进展。
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引用次数: 8
Predicting brain atrophy from tau pathology: a summary of clinical findings and their translation into personalized models 从tau病理学预测脑萎缩:临床发现及其转化为个性化模型的总结
Q3 Engineering Pub Date : 2021-01-01 DOI: 10.1016/j.brain.2021.100039
Amelie Schäfer , Pavanjit Chaggar , Travis B. Thompson , Alain Goriely , Ellen Kuhl , the Alzheimer’s Disease Neuroimaging Initiative

For more than 25 years, the amyloid hypothesis–the paradigm that amyloid is the primary cause of Alzheimer’s disease–has dominated the Alzheimer’s community. Now, increasing evidence suggests that tissue atrophy and cognitive decline in Alzheimer’s disease are more closely linked to the amount and location of misfolded tau protein than to amyloid plaques. However, the precise correlation between tau pathology and tissue atrophy remains unknown. Here we integrate multiphysics modeling and Bayesian inference to create personalized tau-atrophy models using longitudinal clinical images from the Alzheimer’s Disease Neuroimaging Initiative. For each subject, we infer three personalized parameters, the tau misfolding rate, the tau transport coefficient, and the tau-induced atrophy rate from four consecutive annual tau positron emission tomography scans and structural magnetic resonance images. Strikingly, the tau-induced atrophy coefficient of 0.13/year (95% CI: 0.097-0.189) was fairly consistent across all subjects suggesting a strong correlation between tau pathology and tissue atrophy. Our personalized whole brain atrophy rates of 0.68-1.68%/year (95% CI: 0.5-2.0) are elevated compared to healthy subjects and agree well with the atrophy rates of  1-3%/year reported for Alzheimer’s patients in the literature. Once comprehensively calibrated with a larger set of longitudinal images, our model has the potential to serve as a diagnostic and predictive tool to estimate future atrophy progression from clinical tau images on a personalized basis.

Statement of Significance

Developing predictive, patient-specific models of Alzheimer’s disease pathology and progression is of paramount importance for effective patient care and potential treatment. Tissue atrophy, the reduction of brain volume, is an important biomarker for Alzheimer’s disease. Similarly, the pathology associated with tau proteins is thought to play a central role in Alzheimer’s disease progression, local atrophy, and a patient’s cognitive decline. The main question is: how do combine the mechanisms of tau propagation and atrophy in a single model that can make the best use of existing data? Here, we first review the dynamics of atrophy in for Alzheimer’s disease and describe a mathematical model that couples tau propagation and atrophy. We then investigate how to fit the model parameters using the longitudinal structural neuroimaging data of four subjects, from the ADNI database, and a Bayesian Markov Chain Monte Carlo inference method. Our approach shows that network neurodegeneration models may hold promise for the predictive, patient-specific modeling of AD using AV-1451 tau PET and T1 structural MRI data.

在超过25年的时间里,淀粉样蛋白假说——淀粉样蛋白是阿尔茨海默病的主要病因的范式——一直主导着阿尔茨海默病的研究。现在,越来越多的证据表明,阿尔茨海默病的组织萎缩和认知能力下降与错误折叠的tau蛋白的数量和位置的关系比与淀粉样斑块的关系更密切。然而,tau病理与组织萎缩之间的确切相关性尚不清楚。在这里,我们整合了多物理场建模和贝叶斯推理,利用阿尔茨海默病神经影像学倡议的纵向临床图像创建个性化的tau萎缩模型。对于每个受试者,我们从连续四年的tau正电子发射断层扫描和结构磁共振图像中推断出三个个性化参数,tau错误折叠率,tau输运系数和tau诱导萎缩率。引人注目的是,tau诱导的萎缩系数为0.13/年(95% CI: 0.097-0.189)在所有受试者中相当一致,这表明tau病理与组织萎缩之间存在很强的相关性。与健康受试者相比,我们个性化的全脑萎缩率为0.68-1.68%/年(95% CI: 0.5-2.0),与文献中报道的阿尔茨海默病患者的萎缩率为1-3%/年非常吻合。一旦用更大的纵向图像集进行全面校准,我们的模型就有可能作为一种诊断和预测工具,在个性化的基础上从临床tau图像估计未来的萎缩进展。开发可预测的、患者特异性的阿尔茨海默病病理和进展模型对于有效的患者护理和潜在治疗至关重要。组织萎缩,即脑容量减少,是阿尔茨海默病的重要生物标志物。同样,与tau蛋白相关的病理被认为在阿尔茨海默病的进展、局部萎缩和患者的认知能力下降中起着核心作用。主要的问题是:如何将tau的繁殖和萎缩机制结合在一个单一的模型中,从而最大限度地利用现有的数据?在这里,我们首先回顾了阿尔茨海默病中萎缩的动力学,并描述了一个耦合tau繁殖和萎缩的数学模型。然后,我们研究了如何使用来自ADNI数据库的四名受试者的纵向结构神经成像数据和贝叶斯马尔可夫链蒙特卡罗推理方法来拟合模型参数。我们的方法表明,网络神经变性模型可能有望利用AV-1451 tau PET和T1结构MRI数据预测AD的患者特异性建模。
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Brain multiphysics
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