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Physics 414: Introduction to Biophysics Professor Henry Greenside November 7, 2017
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Weekly problem solving session
Completely optional, goal is to provide some extra time to solve problems, work on homework, ask questions about course material Either Wed 5:30 – 6:30 pm or Mon 4:30 – 5:30 pm Location to be announced on Piazza Start this Wednesday if possible
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Start discussion of Chapter 13 on diffusion “A Statistical View of Biological Dynamics”
Chapter 8 on random walk descriptions of biomolecules assumed thermodynamic equilibrium, macroscopic details did not change in time. Chapter 13 continues and extends discussion to non-equilibrium, time-dependent spatially varying concentrations. Mathematical description leads to so-called diffusion equation.
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At the blackboard: key equations
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Definition of a flux vector J for some class of moving objects
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Worked example of flux
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Fick’s first law and the flux vector for particles moving with a well-defined velocity
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Mathematical statements of particle conservation for diffusion, mass conservation for a fluid
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Conservation of particle number and Fick’s first law gives a diffusion equation
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Advection-diffusion equation for diffusion in a fluid
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Qualitative question 1 about diffusion
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Qualitative question 2 about diffusion
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One-minute End-of-class Question
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