University of Birmingham > Talks@bham > Applied Mathematics Seminar Series > Mathematical modelling of vibrotaction: From excitation to the sensation

Mathematical modelling of vibrotaction: From excitation to the sensation

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  • UserJames Andrews, UoB
  • ClockThursday 17 October 2019, 13:00-14:00
  • HouseNuffield G13.

If you have a question about this talk, please contact Fabian Spill.

Lunch with the speaker at staff house 12, tea after the seminar

New insights into vibrotaction: vibrations travel through the skin by which animals can differentiate the tactile properties of materials.

Working in layered elastic, as idealisations of the skin, the wavelengths of elastic waves travelling through the skin are sufficiently long to allow an asymptotic reduction to a single layer with sufficient stiffness. Furthermore, provide a detailed model of the Pacinian corpuscles. The key findings include:

• Far from the excitation, the solution is dominated by a Rayleigh wave that travels cooperatively through all layers of skin and the bone in contrast to the other well-known elastic systems exhibiting Rayleigh waves, e.g. earthquakes, where the travel is along the surface. • The depth of the Pacinian corpuscles, one of the mechanoreceptors for vibrotaction, seems to be evolutionarily conserved across all land mammals in terms of their ratio to the wavelength of the excitation Rayleigh waves. It explains how humans and other animals with thicker skin can still experience light touch.

This talk is part of the Applied Mathematics Seminar Series series.

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