Description 
1 online resource (525 pages) : illustrations 
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 
Summary 
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 midsurface 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 lipidprotein 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 
Analysis 
BIOMATHEMATICS 

BIODYNAMICS 

STRUCTURES 
Bibliography 
Includes bibliographical references and index 
Notes 
English 

Print version record 
Subject 
Molecular biology  Mathematics


Biomathematics.


Cytoskeleton  Mathematics


Cells  Morphology  Mathematics


Mathematics.


Molecular Biology


Cells  cytology


Cytoskeleton


Mathematics


SCIENCE  Life Sciences  Molecular Biology.


Mathematics


Biomathematics


Molecular biology  Mathematics


Biomatemática.


Biologia molecular.


Citoesqueleto.

Form 
Electronic book

Author 
Andersson, Sten.

LC no. 
99048245 
ISBN 
9780444502735 

0444502734 

9780080528076 

0080528074 

9786611050023 

6611050027 

1281050024 

9781281050021 
