Volume 8 Supplement 2
Extracting the dynamics of the Hodgkin-Huxley model using recurrent neural networks
© Andoni et al; licensee BioMed Central Ltd. 2007
Published: 6 July 2007
A single biological neuron is able to perform complex computations that are highly nonlinear in nature, adaptive, and superior to the perceptron model. A neuron is essentially a nonlinear dynamical system. Its state depends on the interactions among its previous states, its intrinsic properties, and the synaptic input it receives. Some of these factors are included in Hodgkin-Huxley (HH) model, which describes the ionic mechanisms involved in the generation of an action potential. This paper proposes training of an artificial neural network to identify and model the physiological properties of a biological neuron, and mimic its input-output mapping. An HH simulator was implemented to generate the training data. The proposed model was able to mimic and predict the dynamic behavior of the HH simulator under novel stimulation conditions; hence, it can be used to extract the dynamics (in vivo or in vitro) of a neuron without any prior knowledge of its physiology. Such a model can in turn be used as a tool for controlling a neuron in order to study its dynamics for further analysis.
Methods and results
This paper shows that ANNs can learn to behave like the Hodgkin-Huxley model of a biological membrane. In the future it should be possible to apply this approach to modeling biological neurons in vitro. The main advantage of this approach is that it does not require any prior knowledge of the physiological properties of the neuron. After training is completed, the neural process is encoded within the weights of the ANN used to model the neuron. Several ANN architectures were tested in this task, with the recurrency in the LRN architecture proving to be the best. Online modeling using ANNs can provide the necessary tools for capturing the dynamical state of a biological neuron, simulate its output for further analysis, and may provide a more powerful dynamic clamp and online control. Such mechanisms should prove valuable in understanding the behavior of biological neurons in the future.
- Narendra KS, Parthasarathy K: Identification and control of dynamical systems using neural networks. IEEE Trans Neural Networks. 1990, 1: 4-27. 10.1109/72.80202.PubMedView ArticleGoogle Scholar
- Chen S, Billings SA, Grant PM: Nonlinear system identification using neural networks. Int J Contr. 1990, 51: 1191-1214. 10.1080/00207179008934126.View ArticleGoogle Scholar
- Elman JL: Finding structure in time. Cognitive Science. 14: 179-211. 10.1016/0364-0213(90)90002-E.
This article is published under license to BioMed Central Ltd.