A new synaptic plasticity rule for networks of spiking neurons

In this paper, we describe a new Synaptic Plasticity Activity Rule (SAPR) developed for use in networks of spiking neurons. Such networks can be used for simulations of physiological experiments as well as for other computations like image analysis. Most synaptic plasticity rules use artificially defined functions to modify synaptic connection strengths. In contrast, our rule makes use of the existing postsynaptic potential values to compute the value of adjustment. The network of spiking neurons we consider consists of excitatory and inhibitory neurons. Each neuron is implemented as an integrate-and-fire model that accurately mimics the behavior of biological neurons. To test performance of our new plasticity rule we designed a model of a biologically-inspired signal processing system, and used it for object detection in eye images of diabetic retinopathy patients, and lung images of cystic fibrosis patients. The results show that the network detects the edges of objects within an image, essentially segmenting it. Our ultimate goal, however, is not the development of an image segmentation tool that would be more efficient than nonbiological algorithms, but developing a physiologically correct neural network model that could be applied to a wide range of neurological experiments. We decided to validate the SAPR by using it in a network of spiking neurons for image segmentation because it is easy to visually assess the results. An important thing is that image segmentation is done in an entirely unsupervised way.

[1]  Krzysztof J. Cios,et al.  Advances in applications of spiking neuron networks , 2000, SPIE Defense + Commercial Sensing.

[2]  I. Masters,et al.  Application of chest high‐resolution computer tomography in young children with cystic fibrosis , 2001, Pediatric Pulmonology.

[3]  L. Abbott,et al.  Synaptic plasticity: taming the beast , 2000, Nature Neuroscience.

[4]  Eugene M. Izhikevich,et al.  Which model to use for cortical spiking neurons? , 2004, IEEE Transactions on Neural Networks.

[5]  Eric H. Chang,et al.  Long-term depression of synaptic inhibition is expressed postsynaptically in the developing auditory system. , 2003, Journal of neurophysiology.

[6]  Christina J. Herold,et al.  Cystic fibrosis: CT assessment of lung involvement in children and adults. , 1999, Radiology.

[7]  Sander M. Bohte,et al.  Reducing Spike Train Variability: A Computational Theory Of Spike-Timing Dependent Plasticity , 2004, BNAIC.

[8]  Krzysztof J. Cios,et al.  Solving graph algorithms with networks of spiking neurons , 1999, IEEE Trans. Neural Networks.

[9]  L. Abbott,et al.  Competitive Hebbian learning through spike-timing-dependent synaptic plasticity , 2000, Nature Neuroscience.

[10]  Haruko Matsui,et al.  Inhibitory long-term potentiation underlies auditory conditioning of goldfish escape behaviour , 1998, Nature.

[11]  T. Sano,et al.  [Diabetic retinopathy]. , 2001, Nihon rinsho. Japanese journal of clinical medicine.

[12]  Michael A. Arbib,et al.  The handbook of brain theory and neural networks , 1995, A Bradford book.

[13]  Chris J. McBain,et al.  Glutamatergic synapses onto hippocampal interneurons: precision timing without lasting plasticity , 1999, Trends in Neurosciences.

[14]  Zhi-Hong Mao,et al.  Random neural networks with state-dependent firing neurons , 2005, IEEE Transactions on Neural Networks.

[15]  R. Traub,et al.  Neuronal Networks of the Hippocampus , 1991 .

[16]  Krzysztof J. Cios,et al.  NETWORKS OF SPIKING NEURONS IN DATA MINING , 2001 .

[17]  Michael I. Jordan,et al.  The Handbook of Brain Theory and Neural Networks , 2002 .

[18]  Maya Ramagopal,et al.  High-resolution computed tomography of the chest in children with cystic fibrosis: support for use as an outcome surrogate , 1999, Pediatric Radiology.

[19]  Shankar M. Krishnan,et al.  Abnormality detection in automated mass screening system of diabetic retinopathy , 2001, Proceedings 14th IEEE Symposium on Computer-Based Medical Systems. CBMS 2001.

[20]  G. Bi,et al.  Synaptic Modifications in Cultured Hippocampal Neurons: Dependence on Spike Timing, Synaptic Strength, and Postsynaptic Cell Type , 1998, The Journal of Neuroscience.

[21]  Wulfram Gerstner,et al.  Mathematical formulations of Hebbian learning , 2002, Biological Cybernetics.

[22]  Ronald J. MacGregor,et al.  Theoretical Mechanics of Biological Neural Networks , 1993 .

[23]  Krzysztof J. Cios,et al.  Spiking Neurons in Clustering of Diabetic Retinopathy Data , 2002, HIS.

[24]  Melvin Berger,et al.  Current understanding of the inflammatory process in cystic fibrosis: Onset and etiology , 1997, Pediatric pulmonology.

[25]  J. Gustafson,et al.  Cystic Fibrosis , 2009, Journal of the Iowa Medical Society.

[26]  André Carlos Ponce de Leon Ferreira de Carvalho,et al.  Pixel clustering by adaptive pixel moving and chaotic synchronization , 2004, IEEE Trans. Neural Networks.

[27]  Kevin J. Staley,et al.  Reciprocal interactions between CA3 network activity and strength of recurrent collateral synapses , 1999, Nature Neuroscience.

[28]  Krzysztof J. Cios,et al.  Self-Organization in Networks of Spiking Neurons , 2001 .

[29]  Ryszard Tadeusiewicz,et al.  Self-Optimizing Neural Networks , 2004, ISNN.

[30]  H R Taylor Diabetic retinopathy: a public health challenge. , 1997, American journal of ophthalmology.

[31]  Krzysztof J. Cios,et al.  Networks of spiking neurons in modeling and problem solving , 2004, Neurocomputing.

[32]  L. Taussig,et al.  Quantitative aspects of lung pathology in cystic fibrosis. , 2015, The American review of respiratory disease.

[33]  M. Alexander,et al.  Principles of Neural Science , 1981 .

[34]  Kevin J. Staley,et al.  Presynaptic modulation of CA3 network activity , 1998, Nature Neuroscience.

[35]  L. Abbott,et al.  Cortical Development and Remapping through Spike Timing-Dependent Plasticity , 2001, Neuron.

[36]  W. Pedrycz,et al.  Medical Image Understanding Technology , 2005, IEEE Transactions on Neural Networks.