UID:
almafu_9958062608802883
Umfang:
1 online resource (535 p.)
Ausgabe:
1st ed.
ISBN:
1-281-05002-4
,
9786611050023
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0-08-052807-4
Inhalt:
This book presents new mathematics for the description of structure and dynamics in molecular and cellular biology. On an exponential scale it is possible to combine functions describing inner organisation, including finite periodicity, with functions for outside morphology into a complete definition of structure. This mathematics is particularly fruitful to apply at molecular and atomic distances. The structure descriptions can then be related to atomic and molecular forces and provide information on structural mechanisms. The calculations have been focussed on lipid membranes forming the
Anmerkung:
Description based upon print version of record.
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Front Cover; Biomathematics: Mathematics of Biostructures and Biodynamics; Copyright Page; Contents; Chapter 1. Introduction; References; Chapter 2. Counting, Algebra and Periodicity - the Roots of Mathematics are the Roots of Life; 2.1 Counting and Sine; 2.2 Three Dimensions; Planes and Surfaces, and Surface Growth; 2.3 The Growth of Nodal Surfaces - Molecules and Cubosomes; References 2; Chapter 3. Nodal Surfaces of Tetragonal and Hexagonal Symmetry, and Rods; 3.1 Non Cubic Surfaces; 3.2 Tetragonal Nodal Surfaces and their Rod Structures
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3.3 Hexagonal Nodal Surfaces and their Rod StructuresReferences 3; Chapter 4. Nodal Surfaces, Planes, Rods and Transformations; 4.1 Cubic Nodal Surfaces; 4.2 Nodal Surfaces and Planes; 4.3 Cubic Nodal Surfaces and Parallel Rods; 4.4 Transformations of Nodal Surfaces; References 4; Chapter 5. Motion in Biology; 5.1 Background and Essential Functions; 5.2 The Control of Shape - the Natural Exponential or cosh in 3D; 5.3 The Gauss Distribution (GD) Function and Simple Motion; 5.4 More Motion in 3D; References 5; Chapter 6. Periodicity in Biology - Periodic Motion; 6.1 The Hermite Function
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6.2 Flagella- Snake and Screw Motion6.3 Periodic Motion with Particles in 2D or 3D; 6.4 Periodic Motion with Rotation of Particles in 2D; References 6; Chapter 7. Finite Periodicity and the Cubosomes; 7.1 Periodicity and the Hermite Function; 7.2 Cubosomes and the Circular Functions; 7.3 Cubosomes and the GD-Function - Finite Periodicity and Symmetry P; 7.4 Cubosomes and the GD-Function - Symmetry G; 7.5 Cubosomes and the GD Function - Symmetry D; 7.6 Cubosomes and the Handmade Function; References 7
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Chapter 8. Cubic Cell Membrane Systems/Cell Organelles and Periodically Curved Single Membranes8.0 Introduction; 8.1 Cubic Membranes; 8.2 The Endoplasmatic Reticulum; 8.3 Protein Crystallisation in Cubic Lipid Bilayer Phases and Cubosomes - Colloidal Dispersions of Cubic Phases; 8.4 From a Minimal Surface Description to a Standing Wave Dynamic Model of Cubic Membranes; 8.5 Periodical Curvature in Single Membranes; References 8; Chapter 9. Cells and their Division - Motion in Muscles and in DNA; 9.1 The Roots and Simple Cell Division; 9.2 Cell Division with Double Membranes
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9.3 Motion in Muscle Cells9.4 RNA and DNA Modelling; References 9; Chapter 10. Concentration Gradients, Filaments, Motor Proteins and again- Flagella; 10.1 Background and Essential Functions; 10.2 Filaments; 10.3 Microtubulus and Axonemes; 10.4 Motor Proteins and the Power Stroke; 10.5 Algebraic Roots Give Curvature to Flagella; References 10; Chapter 11. Transportation; 11.1 Background - Examples of Docking and Budding with Single Plane Layers, and Other Simple Examples; 11.2 Docking and Budding with Curved Single Layers; 11.3 Transport Through Double Layers; References 11
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Chapter 12. Icosahedral Symmetry, Clathrin Structures, Spikes, Axons, the Tree, and Solitary Waves
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English
Weitere Ausg.:
ISBN 0-444-50273-4
Sprache:
Englisch
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