高级相互作用对分数级神经系统同步的作用
1Clinical Engineering Research and Implementation Center (ERKAM), Erciyes University, 38030 Kayseri, Turkey.
Cognitive neurodynamics
|December 16, 2024
概括
高阶交互增强了分数顺序的Hindmarsh-Rose神经元模型中的同步. 与只有一级网络相比,具有一级加二级合的网络实现了与降低强度和成本的同步.
科学领域:
- 计算神经科学是一种神经科学.
- 复杂的系统复杂的系统.
背景情况:
- 欣德马什-罗斯神经元模型是神经元中爆发电活动的数学模型.
- 神经网络中的同步对于信息处理和认知功能至关重要.
- 了解更高阶相互作用的影响对于开发更准确的神经模型至关重要.
研究的目的:
- 调查高阶相互作用对分数阶神经元模型同步的高阶相互作用的影响.
- 在不同的合场景下比较同步效率:一级,高级和一加二级合.
- 通过粒子群优化来确定最佳的合参数.
主要方法:
- 分数顺序的印度马什-罗斯神经元模型的数值模拟.
- 实施三种合策略:一级,高级和一级加二级.
- 粒子集群优化 (PSO) 算法,以最大限度地降低参数优化的成本函数.
主要成果:
- 一级加二级合同步神经元的合强度和总成本低于单独的第一级合.
- 与一级联网相比,二级联网实现了同步,并降低了联网强度和成本.
- 网络尺寸的增加减少了所需的合强度,但需要考虑总成本.
- 更高的分数顺序参数可以促进更快,更同步的神经网络行为.
结论:
- 高阶相互作用在分数顺序的Hindmarsh-Rose模型中积极影响神经同步.
- 结合高阶合的网络提供了更好的同步效率.
- 分数顺序和网络拓显著影响同步动态,更高的顺序和复杂的合是有益的.
相关概念视频
01:02¹H NMR: Interpreting Distorted and Overlapping Signals
1.0K
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...
1.0K
01:21First Order Systems
83
First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
83
01:18Second Order systems II
88
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
88
01:20Second Order systems I
135
A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
By reinterpreting the system, one can derive the closed-loop transfer function, which...
By reinterpreting the system, one can derive the closed-loop transfer function, which...
135
01:17Second-Order Circuits
1.3K
Integrating two fundamental energy storage elements in electrical circuits results in second-order circuits, encompassing RLC circuits and circuits with dual capacitors or inductors (RC and RL circuits). Second-order circuits are identified by second-order differential equations that link input and output signals.
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...
Input signals typically originate from voltage or current sources, with the output often representing voltage across the capacitor and/or current through the inductor. For example, in...
1.3K
01:25Neural Circuits
1.0K
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...
1.0K