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SUMMARY:Biochemical hydrodynamics of protein solutions with high pressure 
 relaxation kinetics - Gregory Vilensky (UCL)
DTSTART:20130315T160000Z
DTEND:20130315T170000Z
UID:TALK43298@talks.cam.ac.uk
CONTACT:Dr Ed Brambley
DESCRIPTION:This work aims to formulate a rational approach to problems of
  biochemical hydrodynamics of protein-solvent systems.  The common feature
  of such problems is the existence of the myriad of simultaneous biochemic
 al reactions with a broadband distribution of reaction rates.  Normally\, 
 the kinetic events can be initiated by the disturbance of the system from 
 the state of thermodynamic equilibrium either via the perturbation of the 
 pressure\, the temperature or the chemical content of the solution.  This 
 work considers the case of pressure induced relaxation kinetics.\n\nTypica
 lly\, biochemical studies do not consider the effects of interaction betwe
 en hydrodynamic motions and kinetics. Being primarily concerned with calcu
 lations of the reaction rates and other important characteristics of the i
 nvolved biochemical processes\, they represent the fluid state by means of
  effective steadystate values.  However\, when the relaxation times of the
  involved microscopic kinetics occupy a broadband interval\, hydrodynamic 
 and kinetic time scales may become comparable.  In this situation the hydr
 odynamic state cannot be treated as passive to the kinetic changes.  Neith
 er can the effects of kinetics on the hydrodynamics be schematically repre
 sented by a small number of relaxation equations\, since this would contra
 dict the broadband nature of the involved kinetics.  Consequently\, one en
 ters into a new area of hydrodynamics in which modelling of the interactio
 n between the broadband protein kinetics and nonequilibrium fluid motion i
 s required.  This work illustrates the distinctive features of this new cl
 ass of problems by considering the practically important example of pressu
 re initiated fast relaxation kinetics in protein solutions.\n\nOwing to th
 e broadband distribution of the reaction rates\, the approach to modelling
  based on a large number of ordinary differential equations of reaction ki
 netics is impractical as it results in a stiff system of governing equatio
 ns.  An alternative method is to use continuous distributions of relaxatio
 n times\, in order to account for the kinetic effects.  This approach resu
 lts in a compact set of equations similar to the conventional Navier-Stoke
 s-Fourier system\, but with additional terms responsible for the productio
 n of entropy owing to the biochemical changes of the medium's structure.\n
 \nThis talk analyzes one such methodology from the point of view of novel 
 hydrodynamic effects caused by pressure induced fast protein kinetics whic
 h would not be observed if conventional equations of fluid mechanics were 
 used.\n
LOCATION:MR2\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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