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<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>The department of
Mathematics and Statistics invites you to a seminar by </span></font><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'>Dr. Daniele Avitabile (Bristol Centre for Applied Nonlinear
Mathematics, <st1:place w:st="on"><st1:City w:st="on">University of Bristol</st1:City>,
 <st1:country-region w:st="on">UK</st1:country-region></st1:place>): <o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>---------------------------------------------------------------------------------------<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>Title:&nbsp; </span></font><font
size=2 color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'>Active Hearing Systems in mosquitoes: from mesoscopic to
macroscopic models<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>Abstract:&nbsp; </span></font><span
class=apple-style-span><font size=2 color=navy face=Arial><span
style='font-size:10.0pt;font-family:Arial;color:navy'>Insects have evolved diverse
and delicate morphological structures in</span></font></span><font size=2
color=navy face=Arial><span style='font-size:10.0pt;font-family:Arial;
color:navy'> 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, is assisted by the active mechanical participation of the
scolopidia. We have proposed a simple mesoscopic 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&nbsp;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, gain loss due to hypoxia. The
numerical simulations also generate new hypotheses. In particular, the model
seems to indicate that scolopidia located toward the tip of the <st1:place
w:st="on"><st1:City w:st="on">Johnston</st1:City></st1:place>'s organ are
responsible for the entrainment of the other scolopidia, and that they give the
largest contribution to the mechanical amplification.&nbsp;I will also
introduce an averaging of the mesoscopic model, allowing to describe
quantitatively the neuronal force at a macroscopic scale.<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>---------------------------------------------------------------------------------------<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>The seminar will take
place on <b><span style='font-weight:bold'>Friday 20<sup>th</sup> November, at
4pm</span></b>, in A2-002.<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>If you have any questions
regarding this seminar, please direct them to Sarah Mitchell (061 202259, <a
href="mailto:sarah.mitchell@ul.ie" title="blocked::mailto:sarah.mitchell@ul.ie"><font
color=navy><span style='color:navy'>sarah.mitchell@ul.ie</span></font></a>).&nbsp;
A full list of Seminars for this semester can be found at: <o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><a
href="http://www.staff.ul.ie/mitchells/MACSI_seminars.html"
title="blocked::http://www.staff.ul.ie/mitchells/MACSI_seminars.html"><font
color=navy><span style='color:navy'>http://www.staff.ul.ie/mitchells/MACSI_seminars.html</span></font></a><o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>----------------------------------------------------------------------------<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>Supported by Science
Foundation Ireland Mathematics Initiative funding, MACSI - the Mathematics
Applications Consortium for Science and Industry (<a href="www.macsi.ie"
title="blocked::www.macsi.ie"><font color=navy title="blocked::www.macsi.ie"><span
title="blocked::www.macsi.ie"><span style='color:navy;text-decoration:none'>www.macsi.ie</span></span></font></a>),
centred at the University of Limerick, is dedicated to the mathematical
modelling and solution of problems which arise in science, engineering and
industry in Ireland<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'>----------------------------------------------<o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 color=navy face=Arial><span lang=EN-IE
style='font-size:10.0pt;font-family:Arial;color:navy'><img border=0 width=142
height=142 id="_x0000_i1025" src="cid:image001.jpg@01CA6692.91012470"><o:p></o:p></span></font></p>

<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p>&nbsp;</o:p></span></font></p>

<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p>&nbsp;</o:p></span></font></p>

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