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1 | (8) |
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2 Thermodynamics for Living Systems |
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9 | (52) |
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2.1 Macroscopic and Microscopic |
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9 | (5) |
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12 | (1) |
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13 | (1) |
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13 | (1) |
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14 | (3) |
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2.2.1 Counting Microstates |
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15 | (2) |
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17 | (3) |
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2.3.1 Irreversibility and Probability |
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19 | (1) |
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20 | (5) |
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22 | (1) |
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2.4.2 Caloric Definition of the Entropy |
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23 | (2) |
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25 | (2) |
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2.5.1 Exchanges of Energy at Constant Volume |
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26 | (1) |
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2.5.2 Exchanges of Energy at Constant Pressure |
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27 | (1) |
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27 | (3) |
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2.6.1 Entropy of a Mixture |
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29 | (1) |
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2.7 The Biosphere as a Thermal Engine |
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30 | (8) |
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2.7.1 A Synthesis of Photosynthesis |
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35 | (3) |
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38 | (7) |
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2.8.1 The "Greenhouse" Effect |
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39 | (2) |
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2.8.2 The Temperature of the Earth's Surface |
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41 | (4) |
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Appendix A Some Useful Mathematical Tools |
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45 | (9) |
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54 | (4) |
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58 | (3) |
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3 Energy, Information, and The Origins of Life |
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61 | (52) |
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3.1 Thermodynamics, Statistics and the Microscopic |
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61 | (7) |
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3.1.1 A Probability Interlude |
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64 | (4) |
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3.2 Life and the Second Principle |
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68 | (4) |
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3.3 Impossibility of Spontaneous Aggregation |
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72 | (1) |
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3.4 Complexity and Information |
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73 | (7) |
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3.4.1 Free energy for the Synthesis of Biomolecules |
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78 | (2) |
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80 | (3) |
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3.6 Modern Theories About the Origins of Life on Earth |
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83 | (30) |
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3.6.1 Not just a Bag of Molecules |
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86 | (1) |
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87 | (2) |
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89 | (1) |
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3.6.4 Between Quiet and Thunder |
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89 | (7) |
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96 | (1) |
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Appendix B From DNA to Proteins (and Back) |
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97 | (12) |
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109 | (1) |
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110 | (3) |
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4 Energy Production and Storage for Life |
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113 | (46) |
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113 | (2) |
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4.2 Storage of Energy in the Cell |
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115 | (2) |
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4.3 Energy-Converting Membranes |
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117 | (4) |
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4.4 Krebs' Cycle and the Production of ATP |
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121 | (7) |
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4.4.1 The Role of the Enzymes |
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124 | (4) |
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4.5 Electrons and Protons Flowing |
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128 | (6) |
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4.6 Energy Yield in the Cycle |
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134 | (2) |
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4.7 Temperature and Heat in the Animal Body |
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136 | (4) |
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4.7.1 Temperature Monitoring |
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138 | (2) |
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140 | (9) |
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4.8.1 Fever and Hyperthermia |
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144 | (1) |
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4.8.2 Metabolic Rate and Thermogenesis |
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145 | (2) |
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4.8.3 Of Brown Fat, Alternative Respiration, and Thermogenic Plants |
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147 | (2) |
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Appendix C The Molecules of Life |
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149 | (6) |
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155 | (3) |
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158 | (1) |
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5 Entropic Forces in the Cell |
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159 | (46) |
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159 | (2) |
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5.2 The Strange Case of Osmosis |
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161 | (6) |
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163 | (1) |
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5.2.2 Thermodynamic Model |
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164 | (1) |
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5.2.3 Osmolarity and the Healthy Cell |
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165 | (2) |
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5.3 Hydrophobicity, Depletion and Other Entropic Forces |
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167 | (7) |
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5.3.1 The Depletion Force Between Large Objects in Solution |
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169 | (3) |
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5.3.2 Steric Forces and Excluded Volume |
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172 | (2) |
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5.4 Diffusion Across a Membrane |
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174 | (8) |
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5.4.1 Permeability and the Partition Coefficient |
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181 | (1) |
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5.5 Forced Flow in a Channel |
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182 | (6) |
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5.6 Moving Around in a Fluid World |
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188 | (5) |
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191 | (2) |
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5.7 Squeezing Blood Cells in a Capillary |
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193 | (2) |
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Appendix D Membranes, Micelles and Liposomes |
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195 | (5) |
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200 | (2) |
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202 | (3) |
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6 Molecular Motors in the Cell |
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205 | (48) |
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205 | (2) |
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6.2 The Mechanics of Cyclic Motor Proteins |
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207 | (9) |
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6.2.1 Two-State Model of a Machine |
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211 | (2) |
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6.2.2 Continuous Energy Surfaces |
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213 | (3) |
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6.3 The Thermal Ratchet Model |
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216 | (5) |
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6.4 Symmetry-Breaking Transformations |
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221 | (5) |
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224 | (2) |
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6.5 Cell Shape and Cytoskeleton Polymerisation |
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226 | (3) |
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6.5.1 Polymerisation Dynamics and the Treadmill Effect |
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227 | (2) |
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6.6 Variations on a Theme of Polymers |
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229 | (7) |
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6.6.1 Enzymatic Reactions and Kinetics |
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233 | (3) |
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6.7 The Movement of Unicellular Organisms |
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236 | (8) |
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6.7.1 Linear Translation with Drag |
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238 | (2) |
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6.7.2 Rotatory Translation with Drag |
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240 | (2) |
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6.7.3 Swimming Without Paddling |
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242 | (2) |
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Appendix E The Cytoskeleton |
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244 | (5) |
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249 | (2) |
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251 | (2) |
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7 Bioelectricity, Hearts and Brains |
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253 | (64) |
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7.1 Cells Processing Electromagnetic Information |
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253 | (9) |
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7.1.1 The Eyes of a Plant |
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255 | (1) |
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7.1.2 Birds and Flies Can See a Magnetic Field |
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256 | (1) |
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257 | (3) |
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7.1.4 The Neuromuscular Junction |
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260 | (2) |
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7.2 The Electric Potential of the Membrane |
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262 | (9) |
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7.2.1 Passive and Active Diffusion |
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262 | (3) |
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7.2.2 The Nernst Equation |
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265 | (2) |
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7.2.3 Polarisation of the Membrane |
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267 | (4) |
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7.3 The Membrane as a Cable |
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271 | (4) |
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7.4 Excitation of the Neurons |
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275 | (3) |
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278 | (4) |
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7.5.1 The Hodgkin-Huxley Model of the Membrane |
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278 | (4) |
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7.6 Transmission of the Nerve Impulse |
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282 | (6) |
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7.6.1 Wave-Like Propagation of the Impulse |
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283 | (2) |
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7.6.2 The Refractory Period and Orthodromic Conduction |
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285 | (3) |
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7.7 Brain, Synapses, Information |
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288 | (8) |
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7.7.1 Electrical Model of the Synapse |
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290 | (3) |
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7.7.2 Treatment of the Neuronal Information |
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293 | (3) |
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296 | (7) |
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7.8.1 The Rhythm and the Beat |
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300 | (3) |
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7.9 Electricity in Plants? |
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303 | (3) |
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Appendix F The G-H-K equations |
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306 | (1) |
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Appendix G Electric Currents for Dummies |
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307 | (6) |
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313 | (2) |
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315 | (2) |
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8 Molecular Mechanics of the Cell |
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317 | (50) |
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8.1 Elastic Models of Polymers |
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317 | (11) |
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8.1.1 The Freely-Jointed Chain |
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319 | (7) |
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8.1.2 The Worm-Like Chain |
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326 | (2) |
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328 | (9) |
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8.2.1 Bending Fluctuations and the Persistence Length |
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328 | (3) |
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8.2.2 Elasticity From Entropy |
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331 | (3) |
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8.2.3 Pulling Nanometers with Piconewtons |
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334 | (3) |
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8.3 Mechanics of the Cell Membrane |
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337 | (10) |
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8.3.1 The Minimal Free Energy Model |
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340 | (2) |
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8.3.2 A More Refined Curvature Model |
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342 | (3) |
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8.3.3 Temperature and Entropy Fluctuations |
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345 | (2) |
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347 | (7) |
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8.4.1 Membrane Protrusions and Cell Crawling |
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348 | (3) |
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8.4.2 The Shape of a Bacterium |
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351 | (3) |
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8.5 How a Cell Splits in Two |
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354 | (10) |
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8.5.1 Chromosome Condensation |
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356 | (1) |
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8.5.2 Assemby of the Mitotic Spindle |
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357 | (4) |
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8.5.3 Assembly of the Contractile Ring |
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361 | (3) |
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364 | (1) |
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365 | (2) |
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9 The Materials of the Living |
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367 | (56) |
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9.1 Stress and Deformation |
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367 | (9) |
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9.1.1 The Biologist and the Engineer |
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371 | (2) |
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9.1.2 Brittle and Ductile |
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373 | (3) |
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9.2 The Viscoelastic Nature of Biological Materials |
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376 | (5) |
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381 | (5) |
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9.3.1 Where Soft Turns Hard |
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385 | (1) |
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9.4 Tissues That Are Neither Solid nor Liquid |
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386 | (7) |
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387 | (4) |
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391 | (2) |
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393 | (4) |
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397 | (10) |
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9.6.1 Tension and Compression |
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400 | (2) |
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9.6.2 Bending and Twisting |
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402 | (5) |
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Appendix H Materials Elasticity Theory for Dummies |
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407 | (10) |
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417 | (3) |
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420 | (3) |
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10 Of Limbs, Wings and Fins |
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423 | (52) |
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10.1 Force and Movement Produced by a Muscle |
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423 | (6) |
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10.2 Dynamics of Muscle Contraction |
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429 | (1) |
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10.3 Mechanical Efficiency and Cyclic Contraction |
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430 | (3) |
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10.3.1 Cyclic Contraction |
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432 | (1) |
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433 | (5) |
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10.4.1 Aerobic and Anaerobic Muscles |
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435 | (3) |
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10.5 The Flight of an Insect |
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438 | (10) |
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10.5.1 Synchronous and Asynchronous Muscles |
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440 | (2) |
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10.5.2 The Power Output of an Insect's Muscle |
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442 | (2) |
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10.5.3 Simplified Aerodynamics of Flapping Wings |
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444 | (4) |
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10.6 How to Choose Right Variables and Units |
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448 | (5) |
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10.6.1 Observables, Their Dimensions, and Their Measurement |
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451 | (2) |
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10.7 Dimensional Analysis: Animals that Walk and Run |
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453 | (6) |
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10.7.1 More Variables and The Buckingham π-Theorem |
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456 | (3) |
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10.8 Flying Animals and Wingbeat Frequency |
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459 | (7) |
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10.8.1 From Birds to Insects |
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463 | (3) |
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10.9 Dimensional Analysis: Animals Who Live in Water |
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466 | (4) |
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470 | (2) |
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472 | (3) |
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475 | (52) |
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11.1 Surface Forces and Volume Forces |
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475 | (3) |
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11.2 Capillarity, Growing Trees and Water-Walkers |
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478 | (6) |
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11.2.1 Insects Who Can Walk on the Water |
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479 | (2) |
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11.2.2 The Branching of Trees |
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481 | (3) |
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11.3 Curved Surfaces and Minimal Surfaces |
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484 | (9) |
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11.3.1 How the Space Can Be Filled |
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487 | (4) |
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11.3.2 Limiting Shapes, Stability and Instability |
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491 | (2) |
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11.4 Surfaces of Revolution, Seashells and Gastropods |
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493 | (6) |
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11.5 Conformal Mapping and the Evolution of Species |
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499 | (4) |
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11.6 The Emergence of a Body Plan |
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503 | (12) |
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11.6.1 Reaction-Diffusion and Pattern Formation |
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507 | (3) |
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11.6.2 Pattern Formation and Gene Expression |
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510 | (5) |
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11.7 Phyllotaxis, The Spacing of Leaves |
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515 | (8) |
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11.7.1 Getting Away from Fractions |
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518 | (5) |
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523 | (2) |
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525 | (2) |
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12 The Hidden Mathematics of Living Systems |
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527 | (46) |
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12.1 Changing Size Without Changing Shape |
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527 | (4) |
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12.1.1 Allometry and Scaling |
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529 | (2) |
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12.2 Scaling Laws for Animal Locomotion |
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531 | (5) |
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12.2.1 Scaling Law for the Characteristic Frequencies |
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533 | (1) |
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534 | (2) |
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12.3 Paleontology, Or When Animals Were Huge |
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536 | (4) |
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12.4 Scaling Laws for Energy Consumption |
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540 | (3) |
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12.4.1 Choosing a Mode of Transport |
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541 | (2) |
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12.5 Energy Stocks for the Offspring |
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543 | (1) |
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12.6 Analytical Models of Population Growth |
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544 | (10) |
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12.6.1 Preys and Predators |
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549 | (3) |
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12.6.2 Competition and Cooperation Between Species |
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552 | (2) |
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12.7 Dynamical Models in Ecology |
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554 | (6) |
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12.8 The Limits of the Ecosystems |
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560 | (9) |
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12.8.1 Trophic and Non-trophic Interactions |
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563 | (3) |
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12.8.2 Linear Models of Structured Population |
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566 | (3) |
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569 | (2) |
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571 | (2) |
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13 Solutions to the Problems |
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573 | (36) |
Physical Units, Constants and Conversion Factors |
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609 | (4) |
Index |
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613 | |