05883cam a2200781Ia 4500
ocn162130899
OCoLC
20140426153708.0
m o d
cr cn|
070802s1999 ne a ob 001 0 eng d
OPELS
eng
OPELS
OCLCQ
N$T
YDXCP
MERUC
E7B
IDEBK
OCLCQ
TULIB
OCLCO
OCLCQ
NLGGC
182530552
441804028
647688387
779916231
9780444502735
0444502734
9780080528076 (electronic bk.)
0080528074 (electronic bk.)
NZ1
12432954
AU@
000048130902
DEBBG
BV039829068
NLGGC
306542234
(OCoLC)162130899
(OCoLC)182530552
(OCoLC)441804028
(OCoLC)647688387
(OCoLC)779916231
122645:127431
Elsevier Science & Technology
http://www.sciencedirect.com
QH506
.B553 1999eb
2000 G-033
QH 506
B6158 1999
QH506
.B553 1999
X300
QH
lcco
SCI
049000
bisacsh
572.8/0151
22
NTRA
Biomathematics
[electronic resource] :
mathematics of biostructures and biodynamics /
Sten Andersson ... [et al.].
1st ed.
Amsterdam ;
New York :
Elsevier,
1999.
1 online resource (525 p.) :
ill.
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.
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.
Includes bibliographical references and index.
Description based on print version record.
Molecular biology
Mathematics.
Biomathematics.
Cytoskeleton
Mathematics.
Cells
Morphology
Mathematics.
Biologie mol�eculaire
Math�ematiques.
Biomath�ematiques.
Cytosquelette
Math�ematiques.
Cellules
Morphologie
Math�ematiques.
SCIENCE
Life Sciences
Molecular Biology.
bisacsh
Biomatem�atica.
larpcal
Biologia molecular.
larpcal
Citoesqueleto.
larpcal
Electronic books.
Electronic books.
Molecular Biology.
Cells
cytology.
Cytoskeleton.
Mathematics.
Andersson, Sten.
Print version:
Biomathematics.
1st ed.
Amsterdam ; New York : Elsevier, 1999
0444502734
9780444502735
(DLC) 99048245
(OCoLC)42428786
ScienceDirect
http://www.sciencedirect.com/science/book/9780444502735
YBP Library Services
YANK
2737501
ebrary
EBRY
ebr10203494
Ingram Digital eBook Collection
IDEB
105002
EBSCOhost
EBSC
210421
EB
92
NITR
213
213