Robust parameter selection for compartmental models of neurons using evolutionary algorithms

Many modeling efforts have met skepticism among experimental neuroscientists largely because of a perception that system parameters are selected arbitrarily. In particular, a lack of high resolution data describing the spatial distribution of voltage-gated and/or calcium-dependent channels has rendered compartmental models suspect of representing singular solutions. On the other hand, a robust manifold of solutions may exist in nature and account for the behavioral repertoire of the biological system. We demonstrate the use of Evolutionary Algorithms (EAs) for the robust fitting of nonlinear channel distributions to experimental observations using the model and kinetics of Traub et al (1991). These results represent a successful method for optimizing parameters in high dimensional (> 100) nonlinear systems.

[1]  I. Spigelman,et al.  N-type Ca2+ channels are located on somata, dendrites, and a subpopulation of dendritic spines on live hippocampal pyramidal neurons , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[2]  S Forrest,et al.  Genetic algorithms , 1996, CSUR.

[3]  R K Wong,et al.  Afterpotential generation in hippocampal pyramidal cells. , 1981, Journal of neurophysiology.

[4]  W. Catterall,et al.  Role of calcium channel subtypes in calcium transients in hippocampal CA3 neurons , 1995, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[5]  D. Tank,et al.  Calcium concentration dynamics produced by synaptic activation of CA1 hippocampal pyramidal cells , 1992, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[6]  N. Spruston,et al.  Activity-dependent action potential invasion and calcium influx into hippocampal CA1 dendrites. , 1995, Science.

[7]  D. Prince,et al.  Intradendritic recordings from hippocampal neurons. , 1979, Proceedings of the National Academy of Sciences of the United States of America.

[8]  J. Trimmer,et al.  Differential spatiotemporal expression of K+ channel polypeptides in rat hippocampal neurons developing in situ and in vitro , 1995, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[9]  D. Prince,et al.  Participation of calcium spikes during intrinsic burst firing in hippocampal neurons , 1978, Brain Research.

[10]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .