Mathematical modelling of the active hearing process in mosquitoes

D. Avitabile, M. Homer, A. R. Champneys, J. C. Jackson, D. Robert

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Insects have evolved diverse and delicate morphological structures in order to capture the inherently low energy of a propagating sound wave. In mosquitoes, the capture of acoustic energy and its transduction into neuronal signals are assisted by the active mechanical participation of the scolopidia. We propose a simple microscopic mechanistic model of the active amplification in the mosquito species Toxorhynchites brevipalpis. The model is based on the description of the antenna as a forced-damped oscillator coupled to a set of active threads (ensembles of scolopidia) that provide an impulsive force when they twitch. This twitching is in turn controlled by channels that are opened and closed if the antennal oscillation reaches a critical amplitude. The model matches both qualitatively and quantitatively with recent experiments: spontaneous oscillations, nonlinear amplification, hysteresis, 2 : 1 resonances, frequency response and gain loss owing to hypoxia. The numerical simulations presented here also generate new hypotheses. In particular, the model seems to indicate that scolopidia located towards the tip of Johnston's organ are responsible for the entrainment of the other scolopidia and that they give the largest contribution to the mechanical amplification.

Original languageEnglish
Pages (from-to)105-122
Number of pages18
JournalJournal of the Royal Society Interface
Volume7
Issue number42
DOIs
Publication statusPublished - 6 Jan 2010

Keywords

  • active hearing systems
  • biomechanics
  • synchronization
  • hair cells
  • oscillations
  • sensitivity
  • dynamics
  • axoneme

Fingerprint Dive into the research topics of 'Mathematical modelling of the active hearing process in mosquitoes'. Together they form a unique fingerprint.

  • Cite this