Biomathematics [electronic resource] : mathematics of biostructures and biodynamics / Sten Andersson [and others].

Published:: Amsterdam ; New York : Elsevier, 1999.
Edition:: 1st ed.
Physical Description:: 1 online resource (525 pages) : illustrations
Additional Creators:: Andersson, Sten

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Contents:

Cover -- TOC$Contents -- CH$Chapter 1. Introduction -- References -- CH$Chapter 2. Counting, Algebra and Periodicity - the Roots of Mathematics are the Roots of Life -- 2.1 Counting and Sine -- 2.2 Three Dimensions; Planes and Surfaces, and Surface Growth -- 2.3 The Growth of Nodal Surfaces - Molecules and Cubosomes -- References 2 -- CH$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 -- 3.3 Hexagonal Nodal Surfaces and their Rod Structures -- References 3 -- CH$Chapter 4. Nodal Surfaces, Planes, Rods and Transformations -- 4.1 Cubic Nodal Surfaces -- 4.2 Nodal Surfaces and Planes -- 4.3 Cubic Nodal Surfaces and Parallel Rods -- 4.4 Transformations of Nodal Surfaces -- References 4 -- CH$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 -- CH$Chapter 6. Periodicity in Biology - Periodic Motion -- 6.1 The Hermite Function -- 6.2 Flagella- Snake and Screw Motion -- 6.3 Periodic Motion with Particles in 2D or 3D -- 6.4 Periodic Motion with Rotation of Particles in 2D -- References 6 -- CH$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 -- CH$Chapter 8. Cubic Cell Membrane Systems/Cell Organelles and Periodically Curved Single Membranes -- 8.0 Introduction -- 8.1 Cubic Membranes -- 8.2 The Endoplasmatic Reticulum -- 8.3 Protein Crystallisation in Cubic Lipid Bilayer Phases and Cubosomes - Colloidal Dispersions of Cubic Phases -- 8.4 From a Minimal Surface Description to a Standing Wave Dynamic Model of Cubic Membranes -- 8.5 Periodical Curvature in Single Membranes -- References 8 -- CH$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 -- 9.3 Motion in Muscle Cells -- 9.4 RNA and DNA Modelling -- References 9 -- CH$Chapter 10. Concentration Gradients, Filaments, Motor Proteins and again- Flagella -- 10.1 Background and Essential Functions -- 10.2 Filaments -- 10.3 Microtubulus and Axonemes -- 10.4 Motor Proteins and the Power Stroke -- 10.5 Algebraic Roots Give Curvature to Flagella -- References 10 -- CH$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 -- CH$Chapter 12. Icosahedral Symmetry, Clathrin Structures, Spikes, Axons, the Tree, and Solitary Waves -- 12.1 The icosahedral symmetry -- 12&#4.

Subject(s):

ISBN:

9786611050023
6611050027
0444502734 (Cloth)
0080528074 (electronic bk.)

Note:

Title from e-book title screen (viewed Jan. 8, 2008).
Description based on print version record.
AVAILABLE ONLINE TO AUTHORIZED PSU USERS.

Bibliography Note:

Includes bibliographical references and index.

Source of Acquisition:

Online copy: Purchased with funds from the Schatz Library Collection in Tree Genetics; 2009.

Endowment Note:

Louis W. Schatz Libraries Collection in Tree Genetics

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