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Biophysic s An Introductio n Rodney M . J . Cotterill

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Page 1: Biophysics - GBV · 2.5 Secondary Bonds 21 Exercises 22 Further reading 22 3 Energies, Forces and Bonds 23 3 .1 Interatomic Potentials for Strong Bonds 23 3 .2 Interatomic Potentials

BiophysicsAn Introduction

Rodney M. J. Cotterill

Page 2: Biophysics - GBV · 2.5 Secondary Bonds 21 Exercises 22 Further reading 22 3 Energies, Forces and Bonds 23 3 .1 Interatomic Potentials for Strong Bonds 23 3 .2 Interatomic Potentials
Page 3: Biophysics - GBV · 2.5 Secondary Bonds 21 Exercises 22 Further reading 22 3 Energies, Forces and Bonds 23 3 .1 Interatomic Potentials for Strong Bonds 23 3 .2 Interatomic Potentials

Preface

x i

1 Introduction

1Exercises

6Further reading

6

2 Chemical Binding

72 .1 Quantum Mechanics

72 .2 Pauli Exclusion Principle

92 .3 Ionization Energy, Electron Affinity and Chemical Binding

1 02 .4 Electronegativity and Strong Bonds

1 52 .5 Secondary Bonds

2 1Exercises

22Further reading

22

3 Energies, Forces and Bonds

233 .1 Interatomic Potentials for Strong Bonds

2 33 .2 Interatomic Potentials for Weak Bonds

2 93 .3 Non-central Forces

3 23 .4 Bond Energies

3 33 .5 Spring Constants

3 9Exercises

4 0Further reading

4 1

4 Rates of Reaction

434.1 Free Energy

4 34.2 Internal Energy

4 54 .3 Thermodynamics and Statistical Mechanics

4 64 .4 Reaction Kinetics

5 54 .5 Water, Acids, Bases and Aqueous Reactions

5 94 .6 Radiation Energy

6 5Exercises

6 7Further reading

68

Page 4: Biophysics - GBV · 2.5 Secondary Bonds 21 Exercises 22 Further reading 22 3 Energies, Forces and Bonds 23 3 .1 Interatomic Potentials for Strong Bonds 23 3 .2 Interatomic Potentials

5 Transport Processes

695 .1 Diffusion

6 9

5 .2 Viscosity

7 6

5 .3 Thermal Conduction

8 0

Exercises

8 1

Further reading

8 1

6 Some Techniques and Methods

836 .1 X-Ray Diffraction and Molecular Structure

8 3

6 .2 Nuclear Magnetic Resonance

9 3

6.3 Scanning Tunnelling Microscopy

9 8

6.4 Atomic Force Microscopy

102

6 .5 Optical Tweezers

10 3

6 .6 Patch Clamping

108

6 .7 Molecular Dynamics

11 2

6 .8 Potential Energy Contour Tracing

11 5

Exercises

11 8

Further reading

11 9

7 Biological Polymers

1237 .1 Nucleic Acids

124

7 .2 Nucleic Acid Conformation : DNA

129

7 .3 Nucleic Acid Conformation : RNA

132

7 .4 Proteins

134

7 .5 Protein Folding

15 1

Exercises

15 7

Further reading

15 8

8 Biological Membranes

1618 .1 Historical Background

16 1

8 .2 Membrane Chemistry and Structure

16 6

8 .3 Membrane Physics

17 4

Exercises

18 4

Further reading

18 5

9 Biological Energy

1879 .1 Energy Consumption

18 7

9 .2 Respiration

18 8

9 .3 Photosynthesis

19 0

9 .4 ATP Synthesis

19 9

Exercises

20 6

Further reading

20 7

10 Movement of Organisms

20910 .1 Bacterial Motion

209

10 .2 Chemical Memory in Primitive Organisms

218

Page 5: Biophysics - GBV · 2.5 Secondary Bonds 21 Exercises 22 Further reading 22 3 Energies, Forces and Bonds 23 3 .1 Interatomic Potentials for Strong Bonds 23 3 .2 Interatomic Potentials

10 .3 Muscular Movement

220

10 .4 Human Performance

23 3Exercises

23 5Further reading

235

11 Excitable Membranes

23711 .1 Diffusion and Mobility of Ions

23711 .2 Resting Potential

240

Exercises

246

Further reading

246

12 Nerve Signals

24912 .1 Passive Response

249

12 .2 Nerve Impulses (Action Potentials)

25 6

12 .3 The Nervous System

26 8

Exercises

27 5

Further reading

27 5

13 Memory

27713 .1 Hebbian Learning

27 7

13 .2 Neural Networks

28 1

13 .3 Auto-association

28 8

Exercises

29 3

Further reading

29 4

14 Control of Movement

29714 .1 The Primacy of Movement

29 7

14 .2 Ballistic Control in a Simplified Visual System

29 9

14 .3 More Sophisticated Modes of Control

30 4

14 .4 The Heterogeneous Structure of Muscle Fibres

30 5

14 .5 Central Pattern Generators

30 7

14 .6 Conditioned Reflexes

31 1

14 .7 Volition and Free Will

31 4

14 .8 What Purpose Does Consciousness Serve?

32 0

14 .9 Passive versus Active in Mental Processing

32 5

14 .10 The Relevant Anatomy and Physiology

32 8

14 .11 Intelligence and Creativity

33 5

14 .12 A Final Word

33 8Exercises

33 9Further reading

33 9

Appendix A: Elements of Quantum Mechanics

343A.1 Quantization of Energy

343A.2 Atomic Structure

345A.3 The Wave Equation

347A.4 Quantum Mechanical Tunnelling

350

Page 6: Biophysics - GBV · 2.5 Secondary Bonds 21 Exercises 22 Further reading 22 3 Energies, Forces and Bonds 23 3 .1 Interatomic Potentials for Strong Bonds 23 3 .2 Interatomic Potentials

Exercises

35 2Further reading

35 2

Appendix B: The Hydrogen Atom

353B.1 The Hamiltonian

35 3B.2 The Hydrogen Atom

35 3B.3 Solution of the di Equation

35 6B.4 Solution of the O Equation

35 7B.5 Solution of the R Equation

35 8B.6 Quantum Numbers and Energy Levels

360B.7 Wave Functions

360Exercises

364Further reading

364

Appendix C: Thermal Motion

365C.1 Ideal Gases

365C.2 Liquids

369Exercises

37 1Further reading

37 1

Appendix D : Probability Distributions

373D.1 Bernoulli Trials and the Binomial Distribution

37 3D.2 The Poisson Approximation

37 3D.3 The Normal, or Gaussian, Distribution

37 5Further reading

37 6

Appendix E : Differential Equations

377Further reading

37 9

Name Index

38 1Subject Index

385