THE NATURE OF THE COUPLING BETWEEN SEGMENTAL OSCILLATORS OF THE LAMPREY SPINAL GENERATOR FOR LOCOMOTION - A MATHEMATICAL-MODEL

THE NATURE OF THE COUPLING BETWEEN SEGMENTAL OSCILLATORS OF THE LAMPREY SPINAL GENERATOR FOR LOCOMOTION - A MATHEMATICAL-MODEL
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DOI:
10.1007/bf00276069
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发表时间:
1982-01-01
影响因子:
1.9
通讯作者:
RAND, RH
RAND, RH
中科院分区:
数学4区
文献类型:
--
作者:
COHEN, AH;HOLMES, PJ;RAND, RH

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本文提出了一个用于解释七鳃鳗离体脊髓运动神经网络节段间协调的理论模型,并给出了一个简化的极限环振荡器的数学模型,该模型只包含一个因变量θ(t).通过将N个这样的振荡器耦合在一起,我们能够产生稳定的锁相运动,其对应于脊髓中的行波,从而模拟“虚拟游泳”。我们还能够产生不规则的“漂移”运动,这是比较的实验数据,从选择性手术损伤的脐带。
We present a theoretical model which is used to explain the intersegmental coordination of the neural networks responsible for generating locomotion in the isolated spinal cord of lamprey.A simplified mathematical model of a limit cycle oscillator is presented which consists of only a single dependent variable, the phaseθ(t). By couplingNsuch oscillators together we are able to generate stable phase locked motions which correspond to traveling waves in the spinal cord, thus simulating “fictive swimming”. We are also able to generate irregular “drifting” motions which are compared to the experimental data obtained from cords with selective surgical lesions.