lec06 - Harvard-MIT Division of Health Sciences and...

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Lecture 6 February 27, 2007 • number of solute particles << number of solvent particles • motion of solute determined by collisions with solvent (ignore solute-solute interactions) • focus on 1 solute particle, assume motions of others are statistically identical Every τ seconds, solute particle gets hit by solvent particle. In response, solute particle is equally likely to move + l or - l . τ = mean free time ; l = mean free path x 0 l 2l 3l Random Walk Model 0 0.2 0.4 0.6 0.8 1 0 0.2 0.4 0.6 0.8 1 -7 -5 -3 -1 1 3 5 7 0 1 2 3 4 5 6 7 W(m,n) m n Figure from Weiss, T. F. Cellular Biophysics, Vol. I. Cambridge, MA: MIT Press, 1996. Courtesy of MIT Press. Used with permission. Harvard-MIT Division of Health Sciences and Technology HST.410J: Projects in Microscale Engineering for the Life Sciences, Spring 2007 Course Directors: Prof. Dennis Freeman, Prof. Martha Gray, and Prof. Alexander Aranyosi Figure from Weiss, T. F. Cellular Biophysics, Vol. I. Cambridge, MA: MIT Press, 1996. Courtesy of MIT Press. Used with permission.
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lec06 - Harvard-MIT Division of Health Sciences and...

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