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Mathematical model and analysis of the flight maintenance mechanism in the cockroach periplaneta americana



Mathematical model and analysis of the flight maintenance mechanism in the cockroach periplaneta americana



Zhurnal Evolyutsionnoi Biokhimii i Fiziologii 19(1): 46-53



A mathematical model was suggested which describes the displacement of the flagellum with respect to the pedicel during active movements of the antenna in the air current. Using this model, the analysis of flight maintenance mechanism of the cockroach was made on the basis of 5 different variables. The increase in the air current speed from 0 to 5 m/s results in load asymmetry in the pedicel receptors which maintain the flight of the cockroach. Within the speed of the air current between 1.5 and 2 m/s (the threshold interval of speeds which make possible the prolonged flight), the angle constituted by flagellum weight is compensated and the displacement angle of the flagellum with respect to the pedicel is increased 1.5-2 times during active movement of the whole antenna upwards. Afferent impulsation which maintains the flight, consists of the impulse discharges appearing due to active movements of the antennae during flagellum displacement in the air current. This impulsation reaches the pacemaker of wing-beats via interneurons only from those receptors in which the preference directions are located dorsally.

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Accession: 005857488

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Related references

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