Interaction of Mechanoreceptor Systems as a Basis for Acoustic Communication in Insects

Knyazev, A. N.

doi:10.1007/978-3-0348-6410-7_45

Cited by 7 publications

(4 citation statements)

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“…This technique is more computationally efficient but also known to be less reliable than the traditional approach involving QR factorization [85]. Computation of the Cholesky decomposition of matrices that are poorly scaled are often required by the LOBPCG method and so, it is crucial to either use a Cholesky decomposition that is numerically invariant with respect to matrix scaling, or to scale the columns of such matrices 22 before performing the factorization [86]. In addition, our experience has been that numerical noise or round off errors (arising from the transform based matrix-vector product computations, for instance) can sometimes cause the Cholesky factorization or the Raleigh-Ritz procedure to become unstable.…”

Section: Implementation Detailsmentioning

confidence: 99%

“…22 We are grateful to Andrew Knyazev (Mitsubishi Electric Research Laboratories) for his consistent support and suggestions during our implementation of LOBPCG, and in particular, for pointing out the stability issues related to Cholesky factorization. [86]. In addition, our experience has been that numerical noise or round off errors (arising from the transform based matrix-vector product computations, for instance) can sometimes cause the Cholesky factorization or the Raleigh-Ritz procedure to become unstable.…”

Section: Implementation Detailsmentioning

confidence: 99%

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A spectral scheme for Kohn–Sham density functional theory of clusters

Banerjee

Elliott

James

2015

Journal of Computational Physics

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Starting from the observation that one of the most successful methods for solving the KohnSham equations for periodic systems -the plane-wave method -is a spectral method based on eigenfunction expansion, we formulate a spectral method designed towards solving the Kohn-Sham equations for clusters. This allows for efficient calculation of the electronic structure of clusters (and molecules) with high accuracy and systematic convergence properties without the need for any artificial periodicity. The basis functions in this method form a complete orthonormal set and are expressible in terms of spherical harmonics and spherical Bessel functions. Computation of the occupied eigenstates of the discretized KohnSham Hamiltonian is carried out using a combination of preconditioned block eigensolvers and Chebyshev polynomial filter accelerated subspace iterations. Several algorithmic and computational aspects of the method, including computation of the electrostatics terms and parallelization are discussed. We have implemented these methods and algorithms into an efficient and reliable package called ClusterES (Cluster Electronic Structure). A variety of benchmark calculations employing local and non-local pseudopotentials are carried out using our package and the results are compared to the literature. Convergence properties of the basis set are discussed through numerical examples. Computations involving large systems that contain thousands of electrons are demonstrated to highlight the efficacy of our methodology. The use of our method to study clusters with arbitrary point group symmetries is briefly discussed.

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Section: Implementation Detailsmentioning

confidence: 99%

Section: Implementation Detailsmentioning

confidence: 99%

A spectral scheme for Kohn–Sham density functional theory of clusters

Banerjee

Elliott

James

2015

Journal of Computational Physics

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“…Recent calculations carried out by Knyazev confirm the importance of properly accounting for the energy dependence of the energy transfer parameters in thermal reaction systems. 37 …”

Section: Steady-state Unimolecular Reactionmentioning

confidence: 99%

Vibrational energy transfer in shock-heated norbornene

Barker

King

1995

The Journal of Chemical Physics

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Recently, Kiefer et al. ͓J. H. Kiefer, S. S. Kumaran, and S. Sundaram, J. Chem. Phys. 99, 3531 ͑1993͔͒ studied shock-heated norbornene ͑NB͒ in krypton bath gas using the laser-schlieren technique and observed vibrational relaxation, unimolecular dissociation ͑to 1,3-cyclopentadiene and ethylene͒, and dissociation incubation times. Other workers have obtained an extensive body of high-pressure limit unimolecular reaction rate data at lower temperatures using conventional static and flow reactors. In the present work, we have developed a vibrational energy transfer-unimolecular reaction model based on steady-state RRKM calculations and time-dependent master equation calculations to satisfactorily describe all of the NB data ͑incubation times, vibrational relaxation times, and unimolecular rate coefficients͒. The results cover the temperature range from ϳ300 to 1500 K and the excitation energy range from ϳ1 000 to 18 000 cm Ϫ1 . Three different models ͑based on the exponential step-size distribution͒ for the average downward energy transferred per collision, ͗⌬E͘ down were investigated. The experimental data are too limited to enable the identification of a preferred model and it was not possible to determine whether the average ͗⌬E͘ down is temperature dependent. However, all three ͗⌬E͘ down models depend linearly on vibrational energy and it is concluded that standard unimolecular reaction rate codes must be revised to include energy-dependent microcanonical energy transfer parameters. The choice of energy transfer model affects the deduced reaction critical energy by more than 2 kcal mol Ϫ1 , however, which shows the importance of energy transfer in determining thermochemistry from unimolecular reaction fall-off data. It is shown that a single set of Arrhenius parameters gives a good fit of all the low temperature data and the shock-tube data extrapolated to the high pressure limit, obviating the need to invoke a change in reaction mechanism from concerted to diradical for high temperature conditions. Some possible future experiments are suggested.

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“…As a support (imitation of substratum) a light styrofoam ball was used (the "trackball" method [12]). The experimental chamber was preliminarily heated to the temperature of 26°C, as it is at this temperature that crickets were kept in the laboratory.…”

Section: Methodsmentioning

confidence: 99%

Change in the character of directional motor reactions of female crickets Gryllus argetinus Sauss. to intraspecies signals under conditions of sensory pathology at different stages of imaginal ontogenesis

Zhemchuzhnikov

Knyazev

2011

J Evol Biochem Phys

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The character of motor activity of female crickets Gryllus argentinus Sauss. executing reproductive and defense behavior was studied under normal conditions and under conditions of inactivation of the cercal organ at different stages of imaginal ontogeny (on day 2, 7 and 12). Various forms of motor reactions of females placed on a movable spherical support to models of intraspecies calling and aggressive male signals were described and analyzed. Reversible inactivation of cercal receptors was shown to result in disturbance of the mechanisms of realization of normal reproductive behavior at the end of pre-reproductive and in the beginning of reproductive periods of imaginal ontogeny. It is manifested as statistically significant reduction of the proportion of positive phonotactic reactions in response to a model of the male calling song in animals with experimental sensory pathology as compared to control groups of crickets (the norm). No significant differences in proportions of typical directional motor reactions to presentation of the aggressive signal under normal conditions and under conditions of sensory pathology were found. Thus preservation of the tympanic organ was demonstrated to be a necessary but not sufficient condition for realization of adequate acoustic reproductive behavior. Only working together, distant mechanoreceptor systems (the cercal and tympanic ones) are able to provide adequacy of behavior. This conclusion confirmed the proposed earlier hypothesis about interaction of distant mechanoreceptor systems and about existence of an integrated sensory complex necessary for realization of adequate behavior of insects.

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Interaction of Mechanoreceptor Systems as a Basis for Acoustic Communication in Insects

Cited by 7 publications

References 0 publications

A spectral scheme for Kohn–Sham density functional theory of clusters

A spectral scheme for Kohn–Sham density functional theory of clusters

Vibrational energy transfer in shock-heated norbornene

Change in the character of directional motor reactions of female crickets Gryllus argetinus Sauss. to intraspecies signals under conditions of sensory pathology at different stages of imaginal ontogenesis

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