Copyright ©1998-2010 Glenn Fleishman. Send in your comments. Bibliographic information on isbn.nu licensed from Baker & Taylor. Contact them for corrections and licensing, or read more about our data.
Tables of Contents for Chemical Topology
Chapter/Section Title
Page #
Page Count
Introduction to the Series
vii
Preface
xi
The Topological Chirality of Knots and Links
1
34
C. Cerf
Introduction
1
1
Chemical Chirality, Geometrical Chirality, Topological Chirality
2
3
A Note About Rigid Achirality
5
1
Topologically Chiral Molecules
6
3
Detection of the Topological Chirality of Links
9
13
Specification of the Topological Chirality of Links
22
7
Quantification of the Topological Chirality of Links
29
1
Conclusions and Perspectives
30
1
References
31
4
Crystals: Two-Dimensional Non-Euclidean Geometry and Topology
35
140
S.T. Hyde
S. Ramsden
Introduction
36
12
Hyperbolic Geometry and Sponges
48
22
Periodic Minimal Surfaces
70
7
Topology of Periodic Minimal Surfaces and Homogeneity
77
6
Sponges and their Labyrinth Graphs
83
5
Intersecting Minimal Surfaces
88
3
Generic Sponges
91
1
Polyhedral Surfaces
92
7
Crystallography in the Hyperbolic Plane
99
4
Generalized Infinite Polyhedra
103
14
From Dense Sphere Packings to Sponges: Examples Among Atomic Crystals
117
30
Net Density and Ring-Sizes
147
3
Non-Planar Graphs and Intersecting Hyperbolic Surfaces
150
6
Coordination Sequences (and Net Rigidity)
156
10
Closing Words
166
1
References
167
8
Knot Theory, DNA Topology, and Molecular Symmetry Breaking
175
64
W.-Y. Qiu
Introduction
175
6
Chirality and Achirality
181
3
Genus, Point Group, and Siefert Construction
184
3
Closed Duplex DNA
187
14
Single-Stranded DNA Knots
201
6
Duplex DNA Knots
207
11
Duplex DNA Catenanes
218
6
Summary
224
2
References
226
13
The Topology of Protein Folding
239
56
H. Bohr
J. Bohr
Introduction
240
1
The Topology of Closed Strings
241
6
Protein and Open Strings
247
1
Molecular Dynamics
248
1
Line Topology and Protein Folding
249
6
Topological Aspects of Protein Folding
255
1
The Intrinsic Dynamics of Proteins
256
12
Experimental Verification of Microwave Enhanced Folding
268
4
Topological Classifications of Proteins
272
10
Construction of Surfaces for Proteins from their Coordinates
282
3
Differential Geometry of the Protein Surface
285
3
The Surface Geometry of Protein Reaction Kinetics
288
2
Conclusion and Future Outlook
290
1
References
290
5
The Topological Coding of Polymers and Protein Structure Prediction
295
52
V.A. Karasev
E.L. Demchenko
V.E. Stefanov
Introduction
295
1
General Model for Topological Coding of Linear Chain Polymers
296
21
Biochemical Applications of the Model
317
23
Concluding Remarks
340
2
References
342
5
Index
347