Biological Physics: Energy, Information, Life
4.1. Brownian motion[[Student version, December 8, 2002]] 105 250 500 750 1000 1250 1500 200 300 400 500 600 700 100 200 300 400 ...
106 Chapter 4. Random walks, friction, and diffusion[[Student version, December 8, 2002]] Forsimplicity we’ll continue to work i ...
4.1. Brownian motion[[Student version, December 8, 2002]] 107 4.1.4 Friction is quantitatively related to diffusion Diffusion is ...
108 Chapter 4. Random walks, friction, and diffusion[[Student version, December 8, 2002]] Once we measureζexperimentally, Equati ...
4.2. Excursion: What Einstein did and did not do[[Student version, December 8, 2002]] 109 long, then the experiment itself would ...
110 Chapter 4. Random walks, friction, and diffusion[[Student version, December 8, 2002]] 2 L n+1 √ 3 L n Figure 4.6:(Schematic. ...
4.3. Other random walks[[Student version, December 8, 2002]] 111 10 -7 10 -6 105 106 diffusion constant, cm 2 s -1 molar mass, g ...
112 Chapter 4. Random walks, friction, and diffusion[[Student version, December 8, 2002]] include globular protein!seeprotein su ...
4.3. Other random walks[[Student version, December 8, 2002]] 113 0.3 0.4 0.5 0.6 0.8 1 1 2 6000 10^43. 104 5. 104 Rg , μ m N, ba ...
114 Chapter 4. Random walks, friction, and diffusion[[Student version, December 8, 2002]] 10 - 5 0 5 10 10 20 30 40 50 frequen ...
4.4. More about diffusion[[Student version, December 8, 2002]] 115 fluid. Moreover, what works for a pollen grain holds equally ...
116 Chapter 4. Random walks, friction, and diffusion[[Student version, December 8, 2002]] x−^32 Lx−^12 Lx+^12 L L X Y Z x y z L ...
4.4. More about diffusion[[Student version, December 8, 2002]] 117 is (that is, onX,Y,orZ); the important thing is not really th ...
118 Chapter 4. Random walks, friction, and diffusion[[Student version, December 8, 2002]] find:^8 dc dt =D d^2 c dx^2 . diffusio ...
4.5. Functions, derivatives, and snakes under the rug[[Student version, December 8, 2002]] 119 c c c xx x abcdc/dt<^0 dc/dt&g ...
120 Chapter 4. Random walks, friction, and diffusion[[Student version, December 8, 2002]] 2 1 0 1 2 x 0 1 2 3 t 1 2 c 2 1 0 ...
4.6. Biological applications of diffusion[[Student version, December 8, 2002]] 121 Toget the sort of graphs shown in Figure 4.11 ...
122 Chapter 4. Random walks, friction, and diffusion[[Student version, December 8, 2002]] Your Turn 4e a. Show that the units of ...
4.6. Biological applications of diffusion[[Student version, December 8, 2002]] 123 10 -6 10 -5 0.0001 0.001 0.01 0.1 1 10 -12 10 ...
124 Chapter 4. Random walks, friction, and diffusion[[Student version, December 8, 2002]] in the water, with a concentrationc 0 ...
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