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MIT 6 021J - Study Notes

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1 Changes and Errata to Cellular Biophysics, Volume 1: Transport by Thomas F. Weiss May 3, 1999 • Page xxix, Seventh line, replace “133.3 × 105 N m−2” with “133.3N m−2” · · • Page xxix, Insert as first entry in table [Name]“Acceleration of gravity”[Symbol] “g” [Value] “ 9.807 m · s−2” • Page xxx, Second entry in table (for Dielectric constant), third column, remove “cm2 s−1” · • Page 8, Sixth line from bottom of the page, change “and disassembled” to “(and disassembled)” • Page 84, Line 1, change “To study diffusion” to “For example, to study diffu-sion” • Page 88, replace Figure 3.2 with x Surface area A �( ) x +Γx �(x +Γ )x, t x, t• Page 94, replace Figure 3.4 with Surface area A �− �+ x x + lx − l2 • Page 158, Exercise 3.10, Sentence 33, replace “The volume of bath 2 is V2.” with “Bath 2 has volume V2 and a concentration of solute n that is zero.” • Page 166, replace Figure 3.59 with Membrane P � C1 C2 D1 D2 d1 d2 • Page 167, Line 3, replace “equilibration time of X in the” with “time for X to reach steady state in the” • Page 171, Item ‘c.’, line 2, replace “membrane, i.e., does” with “membrane at each instant in time, i.e., does” Ps(c1 2 • Page 171, In the equation of Item ‘c.’, replace “�n = n − cn)?” with 1 2“�n(t)= Ps(cn(t) − cn(t))?” • Page 171, Item ‘d.’, line 2, replace “membrane, i.e., does” with “membrane at each instant in time, i.e., does” Pl(c1 2 • Page 171, In the equation in Item ‘d.’, replace “�n = n − cn)?” with 1 2“�n(t)= Pl(cn(t) − cn(t))?” • Page 188, replace Figure 4.1 with p(x) Surface area A p(x +Γx)F(x) xx +Γx3 • Page 199, replace Figure 4.6 with Surface area A �V ( ) �V (x +Γ )x, t x, txx +Γx • Page 204, In the first line of the section Water Diffusion, remove “by means of” and replace with “with water that contains” • Page 204, In the second line of the section Water Diffusion, replace “water (e.g., deuterium, tritium, etc.)” with “hydrogen (tritium)” • Page 235, Line 6 of Figure 4.28 caption, replace “(pm · s−1 · Pa)” with “(pm · s−1 Pa−1)”·• Page 255, Fifth line from bottom of page, replace “Vc.” with “Vc, and V�c.”c �V• Page 255, Last line on page, replace “Are” with “Determine if ” and change “volume, dφ(t)/dt at” to “volume (dφ(t)/dt at” • Page 256, Line 1, replace “t = 0+, and φ(�)” with “t = 0+) and the final value (φ(�)) of the normalized volume are” • Page 263, Line 1, replace “a.” with “1.” and replace “was” with “is” • Page 263, Line 2, replace “stood” with “stands” • Page 263, Line 3, replace “had” with “has”, replace “30.7” with “36.5”, and replace “could” with “can” • Page 263, Line 4, replace “had” with “has” and “was” with “is” • Page 263, Line 6, replace “b.” with “2.”4 • Page 265, replace Figure 4.47 with h(t) Water Sucrose Glass tube Membrane solution Area A • Page 268, In first line of item ‘a.’, replace “less” with “fewer” i �(t)”• Page 270, Line 5, replace “C o �(t) <C o �(t)” with “C o �(t) <C• Page 283, Line 9 in Figure 5.2 caption, change “test” to “tests” • Page 288, replace Figure 5.3 with Impermeant solute Permeant solute 0.5 1 1.5 2 0.6 0.7 0.8 0.9 1 2 3 4 5 60 0.5 1 1.5 2 1.2 1.4 1.6 1.8 0.6 0.5 0.5 0.7 0.8 0.9 1 2 3 4 5 60 � =10 � =1.0 � =0.1 � =10 � =1.0 � =0.1 1.0 0.5 φ(t)φ(t) ˜n(t) ˜c(t) n(t) c(t) -1 -1 0123456 −10 123456−1 Normalized time, ��t Normalized time, ��t5 • Page 293, Line 8 of Figure 5.6 caption, replace “(pm · s−1 · Pa)” with “(pm · s−1 Pa−1)”· • Page 297, Line 5 of first paragraph, replace “water molecules, e.g., tritium.” with “water molecules, e.g. with tritium replacing hydrogen.” and replace “solvent and tritium” with “solvent and tritiated water” • Page 318, replace Figure 5.16 with 0.6 0.7 0.8 0.9 1 2 3 4 5 60 0.5 φ(t) -1 2.0 n(t) 1.0˜2.0 c˜i(t) 1.0 0.5 1 1.5 2 ˜c o(t) 0 1 2 3 4 5 6−1 Normalized time, ��t6 • Page 319, replace Figure 5.17 with 0.5 1 1.5 2 1.2 1.4 1.6 1.8 n(t) cA(t) cB(t) 3 4 2 1 0.6 0.5 0.7 0.8 0.9 1 2 3 4 5 60 φ(t) -1 0123456−1 Normalized time, ��t • Page 323, Line 7, replace “are” with “is” • Page 323, Line 8, replace “largest?” with “larger?” • Page 324, Line 18, replace “by radioactive” with “with heavy” • Page 347, Lines 9 and 10. Remove “Since we assume the enzyme is conserved,” • Page 347, Line 20 replace “Michaelis-Menton” with “Michaelis-Menten” • Page 348 Line 1 in Figure 6.8 caption, replace “Michaelis-Menton” with “Michaelis-Menten”7 • Page 353, replace Figure 6.14 with 2.5 2 1.5 1 0.5 r 2 (˚A) 0.5 1 1.5 2 2.5 r1 (˚A) • Page 388, Line 16, replace “the the” with “the” • Page 422, Second Line from bottom of page, replace “�e” with “�eq ” • Page 423, Line 1, replace “�e” with “�eq ” • Page 423, Line 3, replace “�d,” with “�ss,” • Page 423, Line 5, replace “�d” with “�ss ” • Page 424, In the equation in Problem 6.4, replace “ci” with “ci(t)” in both instances • Page 424, In the fourth line of Problem 6.4, replace “ci” with “ci(t)” • Page 426, Line 7, replace “concentration” with “densities” • Page 429, Problem 6.9, Add after “initial concentration is C.” the sentence “Assume that the change in intracellular osmolarity is negligible.” • Page 456, Line 6, replace “Using” with “With”8• Page 457, replace Figure 7.5 withxJ(x, t) J(x +∆x, t)x +∆xSurface area A• Page 463, Last line, replace sinh Ψ(x) with sinh Ψ(X)• Page 464, Equation 7.27, replace withΨ=ψRT/(zF)• Page 473, Line 7 of Figure 7.11 caption, add “The electric field was 0.548 V/cm.”• Page 491, Line 12, replace “−68” with “−60”• Page 501, Fourth line from bottom of page, change “flux ion” to “flux of ion”• Page 510, Third line from bottom of page, replace “low-sodium” with “sodium”• Page 511, Line 7 of Figure 7.42 caption, replace “low-sodium” with “sodium”• Page


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MIT 6 021J - Study Notes

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