Dynamical entropy production in spiking neuron networks in the balanced state.
نویسندگان
چکیده
We demonstrate deterministic extensive chaos in the dynamics of large sparse networks of theta neurons in the balanced state. The analysis is based on numerically exact calculations of the full spectrum of Lyapunov exponents, the entropy production rate, and the attractor dimension. Extensive chaos is found in inhibitory networks and becomes more intense when an excitatory population is included. We find a strikingly high rate of entropy production that would limit information representation in cortical spike patterns to the immediate stimulus response.
منابع مشابه
Predictive Coding of Dynamical Variables in Balanced Spiking Networks
Two observations about the cortex have puzzled neuroscientists for a long time. First, neural responses are highly variable. Second, the level of excitation and inhibition received by each neuron is tightly balanced at all times. Here, we demonstrate that both properties are necessary consequences of neural networks that represent information efficiently in their spikes. We illustrate this insi...
متن کاملEntropy Production in Stationary Social Media Networks
Completing their initial phase of rapid growth social media networks are expected to reach a plateau from where on they are in a statistically stationary state. Such stationary states may have different dynamical properties. For example, if each message in a network is followed by a reply in opposite direction, the dynamics is locally balanced. Otherwise, if messages are ignored or forwarded to...
متن کاملEntropy Rate and Statistical Complexity for Dynamical Neurons
�-machines can be used to study the dynamics of neural spike trains and reveal spiking patterns. By constructing �-machines we quantify the randomness and structure of three dynamical neuron models: The Linear Integrate and Fire neuron, the Quadratic Integrate and Fire neuron and the Izhikevich neuron.
متن کاملHuman Brain Networks: Spiking Neuron Models, Multistability, Synchronization, Thermodynamics, Maximum Entropy Production, and Anesthetic Cascade Mechanisms
Advances in neuroscience have been closely linked to mathematical modeling beginning with the integrate-and-fire model of Lapicque and proceeding through the modeling of the action potential by Hodgkin and Huxley to the current era. The fundamental building block of the central nervous system, the neuron, may be thought of as a dynamic element that is “excitable”, and can generate a pulse or sp...
متن کاملEmergence of a Balanced Core through Dynamical Competition in Heterogeneous Neuronal Networks
The balance between excitation and inhibition is crucial for neuronal computation. It is observed that the balanced state of neuronal networks exists in many experiments, yet its underlying mechanism remains to be fully clarified. Theoretical studies of the balanced state mainly focus on the analysis of the homogeneous Erdös-Rényi network. However, neuronal networks have been found to be inhomo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review letters
دوره 105 26 شماره
صفحات -
تاریخ انتشار 2010