OSCILLATIONS AND DELAYS IN DRUG

When
Start: 02/06/2008 - 3:15pm
End  : 02/06/2008 - 4:15pm

Category
Colloquium

Speaker
Jacques Belair

Abstract

Temporal fluctuations are naturally observed in a number of physiological measurements.

When drugs are administered to redress abnormal conditions, it is natural to try to reproduce these fluctuations, and thus oscillations in plasma concentration are desired, over periods of variable time durations. We review recent examples where such oscillations were modelled, including a technological application in which the oscillations are generated by the delayed response of the permeability of a membrane at the boundary of a reaction chamber. We perform a complete qualitative analysis of the ensuing system of delay-differential equations (stability of equilibrium, Hopf bifurcation), and provide conditions for multiple mode instabilities (double Hopf bifurcations) to occur.

Where
Beckman B126 (Harvey Mudd College)

Misc. Information

Coffee & cookies at 4:00pm
Wine and cheese after the talk
Olin B161, HMC
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The dinner will be hosted by John Milton
If interested in attending, call Ext. 70024