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Mathematics of Biostructures and Biodynamics
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Edited By
S. Andersson, Sandviks Forskningsinstitut, S-380 74 Löttorp, Sweden
K. Larsson, KL Chem AB, S-237 34 Bjärred and Camurus Lipid Research, S-223 70 Lund, Sweden
M. Larsson, Lund University, Department of Clinical Physiology, S-214 01 Malmö, Sweden
M. Jacob, Department of Inorganic Chemistry, Arrhenius Laboratory, University of Stockholm, S-106 91 Stockholm, Sweden
Description
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 surface layers of cell organelles. Calculated surfaces represent the mid-surface of
the lipid bilayer. Membrane dynamics such as vesicle transport are described in this new language. Periodic membrane assemblies exhibit
conformations based on the standing wave oscillations of the bilayer, considered to reflect the true dynamic nature of periodic membrane
structures. As an illustration the structure of an endoplasmatic reticulum has been calculated. The transformation of such cell membrane
assemblies into cubosomes seems to reflect a transition into vegetative states. The organisation of the lipid bilayer of nerve cells
is analyzed, taking into account an earlier observed lipid bilayer phase transition associated with the depolarisation of the membrane.
Evidence is given for a new structure of the alveolar surface, relating the mathematical surface defining the bilayer organisation to
new experimental data. The surface layer is proposed to consist of a coherent phase, consisting of a lipid-protein bilayer curved according
to a classical surface - the CLP surface. Without employing this new mathematics it would not be possible to give an analytical description
of this structure and its deformation during the respiration cycle. In more general terms this mathematics is applied to the description
of the structure and dynamic properties of motor proteins, cytoskeleton proteins, and RNA/DNA. On a macroscopic scale the motions of
cilia, sperm and flagella are modelled.
This mathematical description of biological structure and dynamics, biomathematics, also
provides significant new information in order to understand the mechanisms governing shape of living organisms.
Contents
Chapter headings:
Introduction. Counting, algebra and periodicity - the roots of mathematics are the roots of life. Nodal
surfaces of tetragonal and hexagonal symmetry, and rods. Nodal surfaces, planes, rods and transformations. Motion in biology. Periodicity
in biology - periodic motion. Finite periodicity and the cubosomes. Cubic cell membrane systems/cell organelles. Cells and their division
- motion in muscles and in DNA. Concentration gradients, filaments, motor proteins and again - flagella. Transportation. Icosahedral
symmetry, chathrin structures, spikes, axons, the tree, and solitary waves. Axon membranes and synapses - a role of lipid bilayer structure
in nerve signals. The lung surface structure and respiration. Epilogue. Appendices.
| Bibliographic details |
Hardbound, 0 pages, publication date: OCT-1999
ISBN-13: 978-0-444-50273-5
ISBN-10: 0-444-50273-4
Imprint: ELSEVIER
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| Price and Ordering |
Price:
GBP 213
USD 345
EUR 250.95
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Last update: 4 Sep 2009
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