Placement and routing optimization in the brain

Chen, Beth L.; Chklovskii, Dmitri B.

doi:10.1145/1123008.1123034

Cited by 2 publications

(4 citation statements)

References 28 publications

(37 reference statements)

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“…Various models have been proposed recently for numeric simulations of axonal conduction delays; see [1], [2], [3], [4], [13] and the literature therein. We intend to employ the connection cost function as proposed in [2], [3], [4] and in [13], since the authors provide a justification of their model that is based on experimental evidence in the context of the Optimal Neuronal Layout Problem.…”

Section: Modelling Conduction Delaysmentioning

confidence: 99%

“…We intend to employ the connection cost function as proposed in [2], [3], [4] and in [13], since the authors provide a justification of their model that is based on experimental evidence in the context of the Optimal Neuronal Layout Problem.…”

Section: Modelling Conduction Delaysmentioning

confidence: 99%

“…The Chklovskii model is motivated by a comparison of results from neuronal layout calculations to the arrangements in the macaque pre-frontal cortex and the Caenorhabditis elegans, in the latter case for 279 neurons [2], [3]. The experimental analysis suggests that wiring costs are indieed proportional to the "wire volume" for a fixed diameter, and the costs grow linearly with the wire length.…”

Section: A the Chklovskii Delay Functionmentioning

confidence: 99%

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On axon delay functions and spiking activity

Allard

Albrecht

2008

2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence)

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Abstract-Over the past few years, the importance of axonal conduction delays has been emphasized by a number of authors. Different models are proposed for the approximation of signal delays, where some of them have been evaluated in the context of the optimal neuronal layout problem. Our paper presents computational experiments on the impact of two wiring cost functions, proposed by D. Chklovskii and O. Shefi et al., when applied to interneuronal connections in small ML neuronal networks.

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Section: Modelling Conduction Delaysmentioning

confidence: 99%

Section: Modelling Conduction Delaysmentioning

confidence: 99%

Section: A the Chklovskii Delay Functionmentioning

confidence: 99%

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On axon delay functions and spiking activity

Allard

Albrecht

2008

2008 IEEE International Joint Conference on Neural Networks (IEEE World Congress on Computational Intelligence)

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“…We will follow the main procedure described in the work by Chen et al [2][3][4]. The results show that the current approach to optimization of neuronal layouts is still not conclusive, and then the "wiring economy principle" remains unproved.…”

mentioning

confidence: 99%

An Optimization Approach to the Structure of the Neuronal Layout of C. elegans

Arenas¹,

Fernández²,

Gómez³

2009

Handbook on Biological Networks

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Between 1899 and 1904, in the masterpiece Textura del sistema nervioso del hombre y de los vertebrados (published in separated folded sheets during these years), S. Ramón y Cajal established the linchpin of modern neuroscience [1]. Among its capital contributions, he stated the law of maximum economy in space, time and inter-connective matter, that explicitly hypothesizes about an optimization of the structure and function of the nervous systems during evolution, reflected in an economical principle for informational driving processes in neuronal circuitries. This fascinating elucidation of the complex structure of nervous systems, has been however very difficult to quantify with real data. The topological mapping of each one of the neurons of a vertebrate's brain is still out of nowadays technical possibilities. However, it exists an invertebrate organism for which the complete neuronal layout is known, the nematode C. elegans, syee Fig. 11.1. The current computational capabilities and the disposal of such a connectivity data set allow us to explore the conjecture of S. Ramón y Cajal about the "wiring economy principle".In this chapter we will review a recent optimization approach to the wiring connectivity in C. elegans, discussing the possible outcomes of the optimization process, its dependence on the optimization parameters, and its validation with the actual neuronal layout data. We will follow the main procedure described in the work by Chen et al. [2][3][4]. The results show that the current approach to optimization of neuronal layouts is still not conclusive, and then the "wiring economy principle" remains unproved. The DatasetThe nematode Caenorhabditis Elegans has become in biology the experimental organism par excellence to understand the mechanisms underlying a whole animal's 243 Handbook on Biological Networks Downloaded from www.worldscientific.com by NANYANG TECHNOLOGICAL UNIVERSITY on 08/28/15. For personal use only.

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Placement and routing optimization in the brain

Cited by 2 publications

References 28 publications

On axon delay functions and spiking activity

On axon delay functions and spiking activity

An Optimization Approach to the Structure of the Neuronal Layout of C. elegans

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