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Oscillations and variability in neuronal systems: interplay of autonomous transient dynamics and fast deterministic fluctuations 神经元系统的振荡和可变性:自主瞬态动力学和快速确定性波动的相互作用
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2021-06-15 DOI: 10.1007/s10827-022-00819-7
R. F. Pena, H. Rotstein
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引用次数: 2
Energetics of stochastic BCM type synaptic plasticity and storing of accurate information. 随机BCM型突触可塑性的能量学与准确信息的存储。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2021-05-01 Epub Date: 2021-02-02 DOI: 10.1007/s10827-020-00775-0
Jan Karbowski

Excitatory synaptic signaling in cortical circuits is thought to be metabolically expensive. Two fundamental brain functions, learning and memory, are associated with long-term synaptic plasticity, but we know very little about energetics of these slow biophysical processes. This study investigates the energy requirement of information storing in plastic synapses for an extended version of BCM plasticity with a decay term, stochastic noise, and nonlinear dependence of neuron's firing rate on synaptic current (adaptation). It is shown that synaptic weights in this model exhibit bistability. In order to analyze the system analytically, it is reduced to a simple dynamic mean-field for a population averaged plastic synaptic current. Next, using the concepts of nonequilibrium thermodynamics, we derive the energy rate (entropy production rate) for plastic synapses and a corresponding Fisher information for coding presynaptic input. That energy, which is of chemical origin, is primarily used for battling fluctuations in the synaptic weights and presynaptic firing rates, and it increases steeply with synaptic weights, and more uniformly though nonlinearly with presynaptic firing. At the onset of synaptic bistability, Fisher information and memory lifetime both increase sharply, by a few orders of magnitude, but the plasticity energy rate changes only mildly. This implies that a huge gain in the precision of stored information does not have to cost large amounts of metabolic energy, which suggests that synaptic information is not directly limited by energy consumption. Interestingly, for very weak synaptic noise, such a limit on synaptic coding accuracy is imposed instead by a derivative of the plasticity energy rate with respect to the mean presynaptic firing, and this relationship has a general character that is independent of the plasticity type. An estimate for primate neocortex reveals that a relative metabolic cost of BCM type synaptic plasticity, as a fraction of neuronal cost related to fast synaptic transmission and spiking, can vary from negligible to substantial, depending on the synaptic noise level and presynaptic firing.

皮层回路中的兴奋性突触信号被认为是代谢昂贵的。两个基本的大脑功能,学习和记忆,与长期的突触可塑性有关,但我们对这些缓慢的生物物理过程的能量学知之甚少。本研究探讨了具有衰减项、随机噪声和神经元放电速率对突触电流的非线性依赖(适应)的扩展版BCM可塑性中信息存储的能量需求。结果表明,该模型的突触权重具有双稳定性。为了对系统进行解析分析,将其简化为种群平均塑性突触电流的简单动态平均场。接下来,利用非平衡热力学的概念,我们推导出塑性突触的能量率(熵产率)和相应的用于编码突触前输入的Fisher信息。这种能量来源于化学,主要用于对抗突触权重和突触前放电率的波动,它随着突触权重的增加而急剧增加,随着突触前放电率的增加而更加均匀,尽管这是非线性的。在突触双稳定性开始时,Fisher信息和记忆寿命都急剧增加,增加了几个数量级,但可塑性能率仅发生轻微变化。这意味着存储信息精度的巨大提高并不需要消耗大量的代谢能量,这表明突触信息不受能量消耗的直接限制。有趣的是,对于非常弱的突触噪声,这种对突触编码精度的限制是由可塑性能率相对于突触前平均放电的导数施加的,这种关系具有独立于可塑性类型的一般特征。对灵长类动物新皮层的估计表明,BCM型突触可塑性的相对代谢成本,作为与快速突触传递和尖峰相关的神经元成本的一部分,可以从微不足道到很大,这取决于突触噪声水平和突触前放电。
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引用次数: 5
Monosynaptic inference via finely-timed spikes. 通过微调尖峰进行单突触推断
IF 1.5 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2021-05-01 Epub Date: 2021-01-28 DOI: 10.1007/s10827-020-00770-5
Jonathan Platkiewicz, Zachary Saccomano, Sam McKenzie, Daniel English, Asohan Amarasingham

Observations of finely-timed spike relationships in population recordings have been used to support partial reconstruction of neural microcircuit diagrams. In this approach, fine-timescale components of paired spike train interactions are isolated and subsequently attributed to synaptic parameters. Recent perturbation studies strengthen the case for such an inference, yet the complete set of measurements needed to calibrate statistical models is unavailable. To address this gap, we study features of pairwise spiking in a large-scale in vivo dataset where presynaptic neurons were explicitly decoupled from network activity by juxtacellular stimulation. We then construct biophysical models of paired spike trains to reproduce the observed phenomenology of in vivo monosynaptic interactions, including both fine-timescale spike-spike correlations and firing irregularity. A key characteristic of these models is that the paired neurons are coupled by rapidly-fluctuating background inputs. We quantify a monosynapse's causal effect by comparing the postsynaptic train with its counterfactual, when the monosynapse is removed. Subsequently, we develop statistical techniques for estimating this causal effect from the pre- and post-synaptic spike trains. A particular focus is the justification and application of a nonparametric separation of timescale principle to implement synaptic inference. Using simulated data generated from the biophysical models, we characterize the regimes in which the estimators accurately identify the monosynaptic effect. A secondary goal is to initiate a critical exploration of neurostatistical assumptions in terms of biophysical mechanisms, particularly with regards to the challenging but arguably fundamental issue of fast, unobservable nonstationarities in background dynamics.

在群体记录中观察到的精细时间尖峰关系已被用于支持神经微电路图的部分重建。在这种方法中,成对尖峰序列相互作用的精细时间尺度成分被分离出来,随后归因于突触参数。最近的扰动研究加强了这种推断的合理性,但校准统计模型所需的全套测量数据却无法获得。为了填补这一空白,我们研究了大规模体内数据集中成对尖峰突触的特征,在该数据集中,突触前神经元通过并细胞刺激与网络活动明确解耦。然后,我们构建了成对尖峰序列的生物物理模型,以重现观察到的体内单突触相互作用现象,包括细时间尺度的尖峰-尖峰相关性和点燃不规则性。这些模型的一个关键特征是,配对神经元通过快速波动的背景输入耦合。我们通过比较突触后序列和它的反事实(当单突触被移除时)来量化单突触的因果效应。随后,我们开发了统计技术,用于从突触前和突触后的尖峰序列中估计这种因果效应。其中一个重点是证明和应用非参数时标分离原理来实现突触推断。利用生物物理模型产生的模拟数据,我们描述了估计器准确识别单突触效应的情况。我们的第二个目标是根据生物物理机制对神经统计假设进行批判性探索,特别是在背景动态中快速、不可观测的非平稳性这一具有挑战性但可以说是根本性的问题上。
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引用次数: 0
Constraint-induced intervention as an emergent phenomenon from synaptic competition in biological systems. 约束诱导干预是生物系统中突触竞争的一种新兴现象。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2021-05-01 Epub Date: 2021-04-06 DOI: 10.1007/s10827-021-00782-9
Won J Sohn, Terence D Sanger

The principle of constraint-induced therapy is widely practiced in rehabilitation. In hemiplegic cerebral palsy (CP) with impaired contralateral corticospinal projection due to unilateral injury, function improves after imposing a temporary constraint on limbs from the less affected hemisphere. This type of partially-reversible impairment in motor control by early brain injury bears a resemblance to the experience-dependent plastic acquisition and modification of neuronal response selectivity in the visual cortex. Previously, such mechanism was modeled within the framework of BCM (Bienenstock-Cooper-Munro) theory, a rate-based synaptic modification theory. Here, we demonstrate a minimally complex yet sufficient neural network model which provides a fundamental explanation for inter-hemispheric competition using a simplified spike-based model of information transmission and plasticity. We emulate the restoration of function in hemiplegic CP by simulating the competition between cells of the ipsilateral and contralateral corticospinal tracts. We use a high-speed hardware neural simulation to provide realistic numbers of spikes and realistic magnitudes of synaptic modification. We demonstrate that the phenomenon of constraint-induced partial reversal of hemiplegia can be modeled by simplified neural descending tracts with 2 layers of spiking neurons and synapses with spike-timing-dependent plasticity (STDP). We further demonstrate that persistent hemiplegia following unilateral cortical inactivation or deprivation is predicted by the STDP-based model but is inconsistent with BCM model. Although our model is a highly simplified and limited representation of the corticospinal system, it offers an explanation of how constraint as an intervention can help the system to escape from a suboptimal solution. This is a display of an emergent phenomenon from the synaptic competition.

约束诱导疗法的原理在康复治疗中被广泛应用。在单侧损伤导致对侧皮质脊髓投射受损的偏瘫性脑瘫(CP)中,从受影响较小的半球对肢体施加暂时约束后,功能得到改善。这种由早期脑损伤引起的运动控制的部分可逆损伤与视觉皮层中经验依赖的可塑性获取和神经元反应选择性的修改相似。以前,这种机制是在BCM (Bienenstock-Cooper-Munro)理论框架内建模的,这是一种基于速率的突触修饰理论。在这里,我们展示了一个最小复杂但足够的神经网络模型,该模型使用简化的基于信息传递和可塑性的尖峰模型为半球间竞争提供了基本解释。我们通过模拟同侧和对侧皮质脊髓束细胞之间的竞争来模拟偏瘫CP的功能恢复。我们使用高速硬件神经模拟来提供真实的峰值数量和真实的突触修饰幅度。我们证明约束诱导的偏瘫部分逆转现象可以通过简化的神经降束与2层尖峰神经元和具有尖峰时间依赖可塑性(STDP)的突触来模拟。我们进一步证明,基于stdp的模型可以预测单侧皮质失活或剥夺后的持续性偏瘫,但与BCM模型不一致。虽然我们的模型是皮质脊髓系统的高度简化和有限的表示,但它提供了约束作为干预如何帮助系统摆脱次优解决方案的解释。这是突触竞争中出现的一种现象。
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引用次数: 2
Reconstruction scheme for excitatory and inhibitory dynamics with quenched disorder: application to zebrafish imaging. 猝灭紊乱的兴奋和抑制动力学重建方案:在斑马鱼成像中的应用。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2021-05-01 Epub Date: 2021-04-07 DOI: 10.1007/s10827-020-00774-1
Lorenzo Chicchi, Gloria Cecchini, Ihusan Adam, Giuseppe de Vito, Roberto Livi, Francesco Saverio Pavone, Ludovico Silvestri, Lapo Turrini, Francesco Vanzi, Duccio Fanelli

An inverse procedure is developed and tested to recover functional and structural information from global signals of brains activity. The method assumes a leaky-integrate and fire model with excitatory and inhibitory neurons, coupled via a directed network. Neurons are endowed with a heterogenous current value, which sets their associated dynamical regime. By making use of a heterogenous mean-field approximation, the method seeks to reconstructing from global activity patterns the distribution of in-coming degrees, for both excitatory and inhibitory neurons, as well as the distribution of the assigned currents. The proposed inverse scheme is first validated against synthetic data. Then, time-lapse acquisitions of a zebrafish larva recorded with a two-photon light sheet microscope are used as an input to the reconstruction algorithm. A power law distribution of the in-coming connectivity of the excitatory neurons is found. Local degree distributions are also computed by segmenting the whole brain in sub-regions traced from annotated atlas.

开发并测试了一种反向程序,以从大脑活动的全球信号中恢复功能和结构信息。该方法假设一个具有兴奋性和抑制性神经元的泄漏积分和火模型,通过有向网络耦合。神经元具有异质电流值,这决定了神经元的动态状态。通过使用异质平均场近似,该方法试图从全局活动模式中重建传入度的分布,包括兴奋性和抑制性神经元,以及分配电流的分布。首先利用合成数据对所提出的逆方案进行了验证。然后,利用双光子薄片显微镜记录的斑马鱼幼虫的延时采集作为重建算法的输入。发现兴奋性神经元的传入连通性呈幂律分布。局部度分布也通过从注释图谱中跟踪的子区域分割整个大脑来计算。
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引用次数: 7
Correction to: A modeling study of spinal motoneuron recruitment regulated by ionic channels during fictive locomotion. 修正:在有效运动中离子通道调节的脊髓运动神经元募集的模型研究。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2021-05-01 DOI: 10.1007/s10827-020-00776-z
Qiang Zhang, Yue Dai
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引用次数: 0
Predictive coding models for pain perception. 疼痛感知的预测编码模型。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2021-05-01 Epub Date: 2021-02-17 DOI: 10.1007/s10827-021-00780-x
Yuru Song, Mingchen Yao, Helen Kemprecos, Aine Byrne, Zhengdong Xiao, Qiaosheng Zhang, Amrita Singh, Jing Wang, Zhe S Chen

Pain is a complex, multidimensional experience that involves dynamic interactions between sensory-discriminative and affective-emotional processes. Pain experiences have a high degree of variability depending on their context and prior anticipation. Viewing pain perception as a perceptual inference problem, we propose a predictive coding paradigm to characterize evoked and non-evoked pain. We record the local field potentials (LFPs) from the primary somatosensory cortex (S1) and the anterior cingulate cortex (ACC) of freely behaving rats-two regions known to encode the sensory-discriminative and affective-emotional aspects of pain, respectively. We further use predictive coding to investigate the temporal coordination of oscillatory activity between the S1 and ACC. Specifically, we develop a phenomenological predictive coding model to describe the macroscopic dynamics of bottom-up and top-down activity. Supported by recent experimental data, we also develop a biophysical neural mass model to describe the mesoscopic neural dynamics in the S1 and ACC populations, in both naive and chronic pain-treated animals. Our proposed predictive coding models not only replicate important experimental findings, but also provide new prediction about the impact of the model parameters on the physiological or behavioral read-out-thereby yielding mechanistic insight into the uncertainty of expectation, placebo or nocebo effect, and chronic pain.

疼痛是一种复杂的、多维度的体验,涉及感觉-辨别过程和情感-情绪过程之间的动态相互作用。疼痛体验具有高度的可变性,这取决于它们的背景和先前的预期。将疼痛感知视为一个感知推理问题,我们提出了一种预测编码范式来表征诱发和非诱发疼痛。我们记录了自由行为大鼠的初级体感皮层(S1)和前扣带皮层(ACC)的局部场电位(lfp),这两个区域分别编码疼痛的感觉-辨别和情感-情绪方面。我们进一步使用预测编码来研究S1和ACC之间振荡活动的时间协调性。具体来说,我们开发了一个现象学预测编码模型来描述自下而上和自上而下的宏观动态活动。在最近实验数据的支持下,我们还开发了一个生物物理神经质量模型来描述S1和ACC群体的介观神经动力学,包括初痛和慢性疼痛治疗的动物。我们提出的预测编码模型不仅复制了重要的实验结果,而且还提供了关于模型参数对生理或行为读出的影响的新预测,从而对期望、安慰剂或反安慰剂效应和慢性疼痛的不确定性提供了机制见解。
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引用次数: 14
Editorial: new article type "perspective". 社论:新文章类型“透视”。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2021-05-01 DOI: 10.1007/s10827-021-00781-w
Alain Destexhe, Jonathan D Victor
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引用次数: 0
Correction to: Monosynaptic inference via finely-timed spikes. 修正:单突触推断通过精确的时间尖峰。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2021-05-01 DOI: 10.1007/s10827-021-00783-8
Jonathan Platkiewicz, Zachary Saccomano, Sam McKenzie, Daniel English, Asohan Amarasingham
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引用次数: 0
Malleability of gamma rhythms enhances population-level correlations. 伽马节律的延展性增强了种群水平的相关性。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2021-05-01 Epub Date: 2021-04-05 DOI: 10.1007/s10827-021-00779-4
Sonica Saraf, Lai-Sang Young

An important problem in systems neuroscience is to understand how information is communicated among brain regions, and it has been proposed that communication is mediated by neuronal oscillations, such as rhythms in the gamma band. We sought to investigate this idea by using a network model with two components, a source (sending) and a target (receiving) component, both built to resemble local populations in the cerebral cortex. To measure the effectiveness of communication, we used population-level correlations in spike times between the source and target. We found that after correcting for a response time that is independent of initial conditions, spike-time correlations between the source and target are significant, due in large measure to the alignment of firing events in their gamma rhythms. But, we also found that regular oscillations cannot produce the results observed in our model simulations of cortical neurons. Surprisingly, it is the irregularity of gamma rhythms, the absence of internal clocks, together with the malleability of these rhythms and their tendency to align with external pulses - features that are known to be present in gamma rhythms in the real cortex - that produced the results observed. These findings and the mechanistic explanations we offered are our primary results. Our secondary result is a mathematical relationship between correlations and the sizes of the samples used for their calculation. As improving technology enables recording simultaneously from increasing numbers of neurons, this relationship could be useful for interpreting results from experimental recordings.

系统神经科学的一个重要问题是理解信息是如何在大脑区域之间传递的,并且已经提出了信息是由神经元振荡介导的,例如伽马波段的节奏。我们试图通过使用一个有两个组成部分的网络模型来研究这个想法,一个来源(发送)和一个目标(接收)组成部分,这两个组成部分都类似于大脑皮层中的局部人群。为了衡量通信的有效性,我们使用了源和目标之间高峰时间的人口水平相关性。我们发现,在校正了独立于初始条件的响应时间后,源和目标之间的峰值时间相关性是显著的,这在很大程度上是由于在它们的伽马节律中发射事件的对齐。但是,我们也发现有规律的振荡不能产生我们在皮质神经元模型模拟中观察到的结果。令人惊讶的是,正是伽马节律的不规则性,内部时钟的缺失,以及这些节律的延展性以及它们与外部脉冲一致的趋势——这些特征已知存在于真实皮层的伽马节律中——产生了观察到的结果。这些发现和我们提供的机械解释是我们的主要结果。我们的第二个结果是相关性和用于计算的样本大小之间的数学关系。随着技术的进步,可以同时记录越来越多的神经元,这种关系可能有助于解释实验记录的结果。
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引用次数: 3
期刊
Journal of Computational Neuroscience
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