从混乱到一致性:高阶突触相关联对神经动力学的影响
Nimrod Sherf1,2, Xaq Pitkow2,3,4,5,6, Krešimir Josić1,7
1Department of Mathematics, University of Houston, Houston, Texas, USA.
ArXiv
|September 15, 2025
概括
突触连接中的高阶循环相关性显著影响神经元网络动态. 强烈的相关性抑制混乱活动,促进大脑中稳定,节奏的模式.
科学领域:
- 计算神经科学是一种计算神经科学.
- 网络科学 网络科学
- 系统生物学 系统生物学
背景情况:
- 循环神经网络 (RNN) 模型阐明了生物神经网络的动态,特别是皮质活动模式.
- 现有的研究主要检查随机或简单的网络连接,忽视复杂的结构.
- 实验数据表明,高阶连接会影响时间活动,但缺乏理论框架.
研究的目的:
- 研究突触连接中第三阶和更高阶循环相关性对神经网络动态的影响.
- 发展理论理解,将复杂的网络结构与新兴动态联系起来.
- 探索特定的连接模式如何影响混乱和稳定活动之间的过渡.
主要方法:
- 对RNN模型的分析,在突触连接中具有不同顺序的循环相关性.
- 检查网络结构,连接矩阵的固有值谱和新兴动态之间的关系.
- 研究从混乱到固定或振荡活动的相位过渡.
主要成果:
- 突触连接中的第三阶和更高阶循环相关性显著改变神经元动态.
- 强大的周期性相关性抑制混乱的动态,有利于振荡或固定活动状态.
- 从混沌到稳定动态的相位过渡与自值支中的尖端形成有关.
- 网络活动的维度与底层网络结构有明显的联系.
结论:
- 高阶循环相关性是神经元网络动态的关键决定因素,超越了简单的连接模型.
- 强烈的循环相关性的存在可以稳定神经活动,防止混乱状态.
- 自身价值分析为理解结构动态关系和预测活动转变提供了理论基础.
相关概念视频
01:28Neuronal Communication
3.1K
Neurons, the fundamental units of the brain and nervous system, communicate through complex electrochemical signals that underpin all cognitive and bodily functions. This communication is primarily facilitated by a process involving the generation and propagation of an action potential along the axon of the neuron. When the internal electrical charge of a neuron surpasses a certain threshold, an action potential is triggered. This rapid change in voltage travels swiftly along the axon to the...
3.1K
01:23Propagation of Action Potentials
8.9K
The propagation of an action potential refers to the process by which a nerve impulse, or "action potential," travels along a neuron.
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
8.9K
01:19The Role of Ion Channels in Neuronal Computation
3.7K
A postsynaptic neuron usually receives numerous impulses from several other presynaptic neurons. The axon hillock of the postsynaptic neuron integrates all these signals and determines the likelihood of firing an action potential.
Sometimes a single EPSP is strong enough to induce an action potential in the postsynaptic neuron. However, multiple presynaptic inputs must often create EPSPs around the same time for the postsynaptic neuron to be sufficiently depolarized to fire an action potential....
Sometimes a single EPSP is strong enough to induce an action potential in the postsynaptic neuron. However, multiple presynaptic inputs must often create EPSPs around the same time for the postsynaptic neuron to be sufficiently depolarized to fire an action potential....
3.7K
01:25Neural Circuits
2.7K
Neural circuits and neuronal pools are two of the main structures found in the nervous system. Neural circuits are networks of neurons that work together to carry out a specific task or process. They consist of interconnected neurons and glial cells, which provide structural and metabolic support.
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
Neuronal pools are collections of nerve cells with similar functions and interact through chemical and electrical signals. These pools include both interneurons (the central neural circuit nodes that...
2.7K
01:02¹H NMR: Interpreting Distorted and Overlapping Signals
1.5K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.5K
01:29Excitatory and Inhibitory Effects of Neurotransmitters
12.7K
When an action potential reaches the presynaptic axon terminal, it releases neurotransmitters from the neuron into the synaptic cleft at a chemical synapse. The released neurotransmitter can be excitatory or inhibitory. The critical criteria commonly used to determine whether a molecule is a neurotransmitter at a chemical synapse are the molecule's presence in the presynaptic neuron. Second, its release is in response to strong presynaptic depolarization. And lastly, the presence of...
12.7K