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Systems level circuit model of C. elegans undulatory locomotion: mathematical modeling and molecular genetics

机译:C. elegans波动运动的系统级电路模型:   数学建模和分子遗传学

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摘要

To establish the relationship between locomotory behavior and dynamics ofneural circuits in the nematode C. elegans we combined molecular andtheoretical approaches. In particular, we quantitatively analyzed the motion ofC. elegans with defective synaptic GABA and acetylcholine transmission,defective muscle calcium signaling, and defective muscles and cuticlestructures, and compared the data with our systems level circuit model. Themajor experimental findings are: (i) anterior-to-posterior gradients of bodybending flex for almost all strains both for forward and backward motion, andfor neuronal mutants, also analogous weak gradients of undulatory frequency,(ii) existence of some form of neuromuscular (stretch receptor) feedback, (iii)invariance of neuromuscular wavelength, (iv) biphasic dependence of frequencyon synaptic signaling, and (v) decrease of frequency with increase of themuscle time constant. Based on (i) we hypothesize that the Central PatternGenerator (CPG) is located in the head both for forward and backward motion.Points (i) and (ii) are the starting assumptions for our theoretical model,whose dynamical patterns are qualitatively insensitive to the details of theCPG design if stretch receptor feedback is sufficiently strong and slow. Themodel reveals that stretch receptor coupling in the body wall is critical forgeneration of the neuromuscular wave. Our model agrees with our behavioraldata(iii), (iv), and (v), and with other pertinent published data, e.g., thatfrequency is an increasing function of muscle gap-junction coupling.
机译:为了建立线虫线虫的运动行为与神经回路动力学之间的关系,我们结合了分子和理论方法。特别是,我们定量分析了C的运动。线虫的突触GABA和乙酰胆碱传递缺陷,肌肉钙信号缺陷,肌肉和表皮结构缺陷,并将这些数据与我们的系统级电路模型进行比较。主要的实验发现是:(i)几乎所有用于向前和向后运动的菌株,以及对于神经元突变体,几乎所有菌株的弯曲弯曲度的从前到后梯度,以及类似的波动频率的弱梯度,(ii)存在某种形式的神经肌肉(拉伸受体)反馈,(iii)神经肌肉波长的不变性,(iv)频率对突触信号的双相依赖性,(v)频率随着肌肉时间常数的增加而降低。基于(i),我们假设中央模式生成器(CPG)位于头部中,以进行前进和后退运动。(i)和(ii)点是我们理论模型的起始假设,其动力学模式对定性不敏感如果拉伸受体反馈足够强和慢,则CPG设计的细节。该模型表明,体壁中的拉伸受体偶联对于神经肌肉波的产生至关重要。我们的模型与我们的行为数据(iii),(iv)和(v)以及其他相关公开数据一致,例如,频率是肌肉间隙连接耦合的增加函数。

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