Modelling the subgenual organ of the honeybee, Apis mellifera

In a recent study on the honeybee (Apis mellifera), the subgenual organ was observed moving inside the leg during sinusoidal vibrations of the leg (Kilpinen and Storm 1997). The subgenual organ of the honeybee is suspended in a haemolymph channel in the tibia of each leg. When the leg accelerates, the inertia causes the haemolymph and the subgenual organ to lag behind the movement of the rest of the leg. To elucidate the biophysics of the subgenual organ system of the honeybee, two mathematical models to simulate the experimentally observed mechanical response are considered. The models are a classical mass-spring model and a newly developed tube model consisting of an open-ended, fluid-filled tube occluded by an elastic structure midway. Both models suggest that the subgenual organ included in the haemolymph channel resembles that of an overdamped system. In resembling the biophysics of the subgenual organ system in the honeybee, we consider the tube model to be the better of the two because it simulates a mechanical response which complies best with the experimental data, and the physical parameters in the model can be related to the␣constituent parts of the subgenual organ included in the haemolymph channel. Received: 25 July 1997 / Accepted in revised form: 8 December 1997     

The accessory organ,a scolopidial sensory organ,in the cave cricket Troglophilus neglectus (Orthoptera: Ensifera: Rhaphidophoridae)

Mechanoreceptor organs occur in great diversity in insect legs. This study investigates sensory organs in the leg of atympanate cave crickets (Troglophilus neglectus KRAUSS, 1879) by neuronal tracing. Previously, the subgenual and the intermediate organs were recognised in the subgenual organ complex, lacking the tympanal membranes present for example in the tibial hearing organs of Gryllidae and Tettigoniidae. We document the presence of the accessory organ in T. neglectus. This scolopidial organ is located in the posterior tibia close to the subgenual organ and can be identified by position, innervation and orientation of the dendrites of sensory neurons. The main motor nerve in the leg innervates a part of the subgenual organ and the accessory organ. The dendrites of sensory neurons in the accessory organ are characteristically bent in proximo‐dorsal direction, while the subgenual organ dendrites run distally along the longitudinal axis of the leg. The accessory organ contains 6–10 scolopidial sensilla, and no differences in neuroanatomy occur between the three thoracic leg pairs. Hence, the subgenual organ complex in cave crickets is more complex than previously known. The wider taxonomic distribution of the accessory scolopidial organ among orthopteroid insects is inconsistent, indicating its repeated losses or convergent evolution.     

Functional morphology and development of tibial organs in the legs I,II and III of the bushcricketEphippiger ephippiger (Insecta,Ensifera)

Summary The anatomy of the complex tibial organs in the pro-, meso- and metathoracic legs of adults and larvae of the bushcricketEphippiger ephippiger is described comparatively. The subgenual organ and the intermediate organ are differentiated in the same way in legs I, II and III; the anatomy of the crista acustica and the tracheal morphology are significantly different. The final number of scolopidia in the tibial organ of each leg is present at the time of hatching. In the subgenual organ, the number of scolopidia is the same in all legs; in the intermediate organ, and especially in the crista acustica, the number of scolopidia decreases from leg I to legs II and III. In the first larval instar, the morphology of the tibia, the course of the trachea and the anatomy of accessory structures are developed in the same way in each leg. The specific differentiations forming the auditory receptor organ in leg I, such as the acoustic trachea, the tympana and tympanal cavities, develop step by step in subsequent instars. The auditory threshold recorded from the tympanal nerve in the prothoracic leg of adults is remarkably lower than in the meso- and metathoracic legs. Morphometrical analyses of structures that are suggested to play a role in stimulus transduction on scolopidia of the crista acustica reveal significant differences in the three legs.     

Structure and sensory physiology of the leg scolopidial organs in Mantophasmatodea and their role in vibrational communication

Individuals of the insect order Mantophasmatodea use species-specific substrate vibration signals for mate recognition and location. In insects, substrate vibration is detected by mechanoreceptors in the legs, the scolopidial organs. In this study we give a first detailed overview of the structure, sensory sensitivity, and function of the leg scolopidial organs in two species of Mantophasmatodea and discuss their significance for vibrational communication. The structure and number of the organs are documented using light microscopy, SEM, and x-ray microtomography. Five scolopidial organs were found in each leg of male and female Mantophasmatodea: a femoral chordotonal organ, subgenual organ, tibial distal organ, tibio-tarsal scolopidial organ, and tarso-pretarsal scolopidial organ. The femoral chordotonal organ, consisting of two separate scoloparia, corresponds anatomically to the organ of a stonefly (Nemoura variegata) while the subgenual organ complex resembles the very sensitive organs of the cockroach Periplatena americana (Blattodea). Extracellular recordings from the leg nerve revealed that the leg scolopidial organs of Mantophasmatodea are very sensitive vibration receptors, especially for low-frequency vibrations. The dominant frequencies of the vibratory communication signals of Mantophasmatodea, acquired from an individual drumming on eight different substrates, fall in the frequency range where the scolopidial organs are most sensitive.     

The spring-mass model and the energy cost of treadmill running

During running, the behaviour of the support leg was studied by modelling the runner using an oscillating system composed of a spring (the leg) and of a mass (the body mass). This model was applied to eight middle-distance runners running on a level treadmill at a velocity corresponding to 90% of their maximal aerobic velocity [mean 5.10 (SD 0.33) m · s⁻¹]. Their energy cost of running (C _r ), was determined from the measurement of O₂ consumption. The work, the stiffness and the resonant frequency of both legs were computed from measurements performed with a kinematic arm. The C _r was significantly related to the stiffness (P < 0.05, r = −0.80) and the absolute difference between the resonant frequency and the step frequency (P < 0.05, r = 0.79) computed for the leg producing the highest positive work. Neither of these significant relationships were obtained when analysing data from the other leg probably because of the work asymmetry observed between legs. It was concluded that the spring-mass model is a good approach further to understand mechanisms underlying the interindividual differences in C _r . Accepted: 18 August 1997     

A neural mechanism of hyperaccurate detection of phase advance and delay in the jamming avoidance response of weakly electric fish

 The weakly electric fish Eigenmannia can detect the phase difference between a jamming signal and its own signal down to 1 s. To clarify the neuronal mechanism of this hyperaccurate detection of phase difference, we present a neural network model of the torus of the midbrain which plays an essential role in the detection of phase advances and delays. The small-cell model functions as a coincidence detector and can discriminate a time difference of more than 100 s. The torus model consists of laminae 6 and 8. The model of lamina 6 is made with multiple encoding units, each of which consists of a single linear array of small cells and a single giant cell. The encoding unit encodes the phase difference into its spatio-temporal firing pattern. The spatially random distribution of small cells in each encoding unit improves the encoding ability of phase modulation. The neurons in lamina 8 can discriminate the phase advance and delay of jamming electric organ discharges (EODs) compared with the phase of the fish's own EOD by integrating simultaneously the outputs from multiple encoding units in lamina 6. The discrimination accuracy of the feature-detection neurons is of the order of 1 s. The neuronal mechanism generating this hyperacuity arises from the spatial feature of the system that the innervation sites of small cells in different encoding units are distributed randomly and differently on the dendrites of single feature-detection neurons. The mechanism is similar to that of noise-enhanced information transmission. Received: 10 July 2000 / Accepted in revised form: 19 January 2001     

The fine structure of the cockroach subgenual organ

This paper describes the fine structure of the cockroach subgenual organ, a complex ciliated mechanoreceptor that detects vibrations in the substrate upon which the animal stands. Located beneath the knee in each walking leg, the cockroach subgenual organ is a thin, fan-shaped flap of tissue slung across the dorsal blood space of the tibia at right angles to the leg's long axis. It is innervated by approximately 50 chordotonal sensilla. The fine structure of the chordotonal sensilla is is described in detail ; possible transducer sites are discussed.     

Cryopreservation and plant regeneration from somatic embryos of Pinus patula

 Embryogenic tissue of Pinus patula Scheide et Deppe was cryopreserved for 8 weeks using sorbitol and dimethylsulfoxide (DMSO) as cryoprotectants. Results indicate that 0.3 M sorbitol and 5% DMSO had the best cryoprotecting effect. The recovered tissue initially underwent a lag phase but then continued to proliferate normally on MSG3 maintenance medium. Recovered tissue was placed onto MSG5 maturation medium, and embryos were isolated and germinated. Plantlet regeneration from the recovered tissue was achieved. Received: 16 April 1999 / Revision received: 26 July 1999 / Accepted: 17 August 1999     

Microclimate and variations in haemolymph composition in the freezing-tolerant New Zealand alpine weta Hemideina maori Hutton (Orthoptera: Stenopelmatidae)

The microclimate in the habitat of the New Zealand alpine weta Hemideina maori is very variable with winter temperatures down to −6 °C under the rocks where the insects are found. Subfreezing temperatures may in winter prevail for up to 17 days but diurnal cycles of freezing and thawing are common, as is also the case in summer. Rates of temperature change can be very high and up to −7.20 °C/h. During winter, humidity was high for extended periods ranging from 70% to 100% relative humidity (RH). In the summer, humidity ranged from 30% RH during the day to 100% RH at night. The supercooling point of the haemolymph was approximately −8 °C year round, caused by a heat labile substance. The supercooling point of the haemolymph of an insect of the same genus, Hemideina femorata not regularly exposed to subfreezing temperatures, was ca. −16.5 °C. Thermal hysteresis was not detected in the haemolymph of H. maori. Haemolymph osmolality varied from 380 mOsm (summer) to 700 mOsm (winter). Body water content was ca. 75% all year round. Total concentrations of sodium, potassium and chloride in haemolymph varied from 170 mM (winter) to 250 mM (summer). The total concentration of free amino acids varied from 58 mM (summer) to 263 mM (winter). This variation was mostly due to proline which varied from ca. 15 mM (summer) to ca. 100 mM (winter). The freeze-tolerant weta H. maori is exposed to a highly variable and cold environment all year round and several properties of its haemolymph composition can be attributed to these climatic conditions, e.g. the presence of ice-nucleating agents and an increase in the concentration of proline during cold hardening in the autumn. Accepted: 22 February 1999     

The obligate alkaliphile <Emphasis Type="Italic">Bacillus clarkii</Emphasis> K24-1U retains extruded protons at the beginning of respiration

Alkaliphiles grow under alkaline conditions that might be disadvantageous for the transmembrane pH gradient (ΔpH, outside acidic). In this study, the behaviors of extruded protons by the respiration of obligate alkaliphilic Bacillus clarkii K24-1U were investigated by comparison with those of neutralophilic Bacillus subtilis IAM 1026. Although whole-cell suspensions of both Bacillus species consumed oxygen immediately after the addition of air, there were lag times before the suspensions were acidified. Under alkaline conditions, the lag time for B. clarkii significantly increased, whereas that for B. subtilis decreased. In the presence of valinomycin or ETH-157, which disrupts the membrane electrical potential (Δψ), the cell suspensions of both Bacillus species acidified immediately after the addition of air. Artificial electroneutral antiporters (nigericin and monensin) that eliminate the ΔpH exhibited no significant effect on the lag times of the two Bacillus species except that monensin increased the lag times of B. clarkii. The inhibition of ATPase and the Na⁺ channel also exhibited little effects on the lag times. The increased lag time for B. clarkii may represent the Δψ-dependent proton retention on the outer surface of the cytoplasmic membrane to generate a sufficient ΔpH under alkaline conditions.     

Central projections of sensory cells of the midleg of the locust,Schistocerca gregaria

The central projections of trichoid hairs and of some scolopidial organs of the mesothoracic leg of the locust Schistocerca gregaria were studied by using nickel chloride backfilling and single cell recording. Trichoid hair sensilla on different parts of the legs project somatotopically in the ventral part of the ipsilateral neuropile of the mesothoracic ganglion. Generally, distally located receptors have their terminal arborizations in ventro-lateral areas of the neuropile, and proximally located receptors in ventro-medial areas. The axons of the subgenual organ and tarsal chordotonal organs project into the intermediate neuropile.     

Larva-adult relationships in an ancestral dipteran: A re-examination of sensillar pathways across the antenna and leg anlagen of Chaoborus crystallinus (DeGeer, 1776; Chaoboridae)

 In one of his classical studies on insect metamorphosis, Weismann compared the imaginal anlagen of the ancestral phantom midge, Chaoborus, with those of advanced brachycerans. We have expanded his findings on the relationships between larval and imaginal organs using electron microscopy and cobalt backfilling of the antenna and leg anlagen and the axonal trajectories of corresponding larval sensilla. We show that both primordia are confluent with the larval antennae and ”leg” sensilla (an ancestral Keilin organ), respectively. These fully developed larval organs represent the distal tips of the imaginal anlagen rather than separate cell clusters. The axons of the larval antenna and leg sensilla project across the corresponding anlagen to their target neuromeres within the central nervous system (CNS). Within the discs, nerves composed of these larval axons, developing afferent fibres and efferences ascending from the CNS are found. Both the structure of the primordia and the axonal trajectories thus relate the situation found in advanced brachycerans with that seen in more ancestral insects. In addition, the larval antennae, legs, wings and even the eyes possess very similar afferent pioneer trajectories supporting the idea that the described pattern is generally used in the ontogeny of sensory systems. Received: 30 June 1998 / Accepted: 27 September 1998     

Use of `relative-phase' analysis to assess correlation between neuronal spike trains

 We propose a new method of studying the correlation between neuronal spike trains. This technique is based on the analysis of relative phase between two point processes. Relative phase here is defined as the relative timing difference between two spike trains normalized by the associated interspike interval of one cell. This phase measurement is intended to reveal the relative timing relationship between spike trains atdifferent firing rates. We apply this method to a numerical example and an example from two cerebellar neuronal spike trains of a behaving rat. The results are compared with classical cross-correlation analysis. We show that the technique can avoid some of the limitations of cross-correlation methods, reveal certain statistical dependencies that cannot be shown by cross correlation, and provide information as to the direction of influence between two spike trains. Received: 8 November 2001 / Accepted: 30 September 2002 / Published online: 24 January 2003 Correspondence to: Y. Chen (e-mail: chen@nsi.edu, Fax: + 1-858-626-2099) Acknowledgements. Research for this paper was supported by the Alafi Family Foundation and the Neurosciences Research Foundation.     

Neurophysiology of the vibration sense in locusts and bushcrickets: Response characteristics of single receptor units

The response characteristics of the vibration receptors in the legs of the migratory locust, Locusta migratoria, and the tettigoniid Decticus verrucivorus were investigated electro-physiologically by single cell recordings. The legs were stimulated by sinusoidal vibrations. There are four types of vibration receptor in each leg of Locusta and Decticus, which can be classified physiologically. One type—most probably campaniform sensilla—shows a phase-locked response to vibrations from 30 to 200 Hz, its threshold reflecting the displacement. A second type shows similar responses in the same frequency range, but its reactions depend on the stimulus acceleration. The receptor cells of the subgenual organ are very sensitive to vibration from 30 to at least 5000 Hz, and their responses depend on acceleration. There are two types of subgenual receptors, one of which shows a clear maximum of sensitivity between 200 and 1000 Hz, with a threshold below 0.01 m/sec^?2 acceleration. Subgenual receptors with different thresholds and different characteristic frequencies occur in each leg. The receptors of each leg pair have quite similar mean sensitivities and characteristic frequencies. However, in the front legs of tettigoniids the more sensitive subgenual receptors and an additional receptor type also respond to low-frequency airborne sound up to 10 kHz.     

Variability of the electric organ discharge interval duration in resting Gymnotus carapo

 We recorded the electric organ discharges of resting Gymnotus carapo specimens. We analyzed the time series formed by the sequence of interdischarge intervals. Nonlinear prediction, false nearest neighbor analyses, and comparison between the performance of nonlinear and linear autoregressive models fitted to the data indicated that nonlinear correlations between intervals were absent, or were present to a minor extent only. Following these analyses, we showed that linear autoregressive models with combined Gaussian and shot noise reproduced the variability and correlations of the resting discharge pattern. We discuss the implications of our findings for the mechanisms underlying the timing of electric organ discharge generation. We also argue that autoregressive models can be used to evaluate the changes arising during a wide variety of behaviors, such as the modification in the discharge intervals during interaction between fish pairs. Received: 14 March 2000 / Accepted in revised form: 9 October 2000     

Kinetics and hydrodynamics of Agapanthus umbellatus pollen-tube growth: A structural and stereological study

Summary In vitro pollen germination of Agapanthus umbellatus follows a logistic-type curve. It has a lag phase, which corresponds to pollen grain (PG) hydration, followed by an exponential phase — initial pollentube (PT) growth. The lag phase is characterized by an increase of about 40% in the volume of the PG as a result of the hydration process. During the exponential phase the PT emerges, and 40 min later it possesses an ultrastructural organization with a typical two-layer wall and four well-defined zones: the apical, sub-apical, nuclear and vacuolar zones. In this period the material transported by the Golgi vesicles seems to be mostly incorporated into the pollen-tube wall (PTW). Stereological analysis showed that the increase in tube volume is correlated with the increase in the vacuolar compartment at the PG level. The decrease in the relative volume occupied by the mitochondria, generative cell and vegetative nucleus in the PG suggests that these organelles move to the PT. A correlation between the disappearance of lipid droplets in the lag phase and the metabolic reactions that take place during hydration is suggested.Abbreviations PT Pollen tube - Pg pollen grain - PTW pollen-tube wall     

Extending the HKB model of coordinated movement to oscillators with different eigenfrequencies

 We study the dynamics of a system of coupled nonlinear oscillators that has been used to model coordinated human movement behavior. In contrast to earlier work we examine the case where the two component oscillators have different eigenfrequencies. Problems related to the decomposition of a time series (from an experiment) into amplitude and phase are discussed. We show that oscillations at multiples of the main frequency of the oscillator system may occur in the phase and amplitude due to the choice of a coordinate system and how these oscillations can be eliminated. We derive an explicit equation for the dynamics of the relative phase of the oscillator system in phase space that enables a direct comparison between theory and experiment. Received: 30 December 1994/Accepted in revised form: 27 June 1995     

Complex tibial organs in fore-, mid-, and hindlegs of the bushcricket Gampsocleis gratiosa (Tettigoniidae): Comparison of morphology of the organs

The structure of the complex tibial organs in the fore-, mid-, and hindlegs of the East Asian bushcricket Gampsocleis gratiosa (Tettigoniidae, Decticinae) is described comparatively. In each leg the tibial organs consist of three scolopale organs: the subgenual organ, the intermediate organ, and the crista acoustica. Only in the forelegs are the tibial organs differentiated as tympanal organs, and sound transmitting structures (acoustic trachea, tympana, and tympanal covers) are present. The morphology of the tracheae in the mid- and hindlegs is significantly different from that found in the forelegs. The number of scolopidia in the subgenual organ is highest in the midleg and lowest in the foreleg; in the intermediate organ the number is also highest in the midleg, and the fore- and hindleg contain 40% fewer scolopidia. In the crista acoustica, the number of scolopidia decreases from, the fore- to the mid- and hindlegs. The morphology and the dimensions of the scolopidia and the attachment structures within the crista acoustica of the mid- and hindlegs differ strongly from those in the foreleg. The results indicate that, in addition to the presence of a sound transmitting system, the specific differentiations within the crista acoustica are important for the high auditory sensitivity of the tibial organs in the forelegs. © 1994 Wiley-Liss, Inc.     

A dynamical model for reflex activated head movements in the horizontal plane

 We present a controls systems model of horizontal-plane head movements during perturbations of the trunk, which for the first time interfaces a model of the human head with neural feedback controllers representing the vestibulocollic (VCR) and the cervicocollic (CCR) reflexes. This model is homeomorphic such that model structure and parameters are drawn directly from anthropomorphic, biomechanical and physiological studies. Using control theory we analyzed the system model in the time and frequency domains, simulating neck movement responses to input perturbations of the trunk. Without reflex control, the head and neck system produced a second-order underdamped response with a 5.2 dB resonant peak at 2.1 Hz. Adding the CCR component to the system dampened the response by approximately 7%. Adding the VCR component dampened head oscillations by 75%. The VCR also improved low-frequency compensation by increasing the gain and phase lag, creating a phase minimum at 0.1 Hz and a phase peak at 1.1 Hz. Combining all three components (mechanics, VCR and CCR) linearly in the head and neck system reduced the amplitude of the resonant peak to 1.1 dB and increased the resonant frequency to 2.9 Hz. The closed loop results closely fit human data, and explain quantitatively the characteristic phase peak often observed. Received: 15 April 1996 / Accepted in revised form: 1 July 1996