05406cam a2200625Ia 4500001001300000003000600013005001700019006001900036007000700055008004100062040009500103020001800198020001500216020003500231020003200266035009300298037007900391050002400470060001500494060002300509070002200532072000900554072001300563072002500576082001900601245012200620250001200742260004600754300003900800520228900839505076403128504005103892588004703943650003603990650002004026650003104046650003604077650004704113650002504160650003704185650004504222650005604267650003104323650003304354650002804387655002204415650002204437650002304459650002104482650001804503650001704521700002104538776014604559856007504705ocn162130899OCoLC20140426153708.0m o d cr cn|070802s1999 ne a ob 001 0 eng d aOPELSbengcOPELSdOCLCQdN$TdYDXCPdMERUCdE7BdIDEBKdOCLCQdTULIBdOCLCOdOCLCQdNLGGC a9780444502735 a0444502734 a9780080528076 (electronic bk.) a0080528074 (electronic bk.) a(OCoLC)162130899z(OCoLC)182530552z(OCoLC)441804028z(OCoLC)647688387z(OCoLC)779916231 a122645:127431bElsevier Science & Technologynhttp://www.sciencedirect.com 4aQH506b.B553 1999eb 4a2000 G-033 4aQH 506bB6158 1999 aQH506b.B553 1999 0aX300 7aQH2lcco 7aSCIx0490002bisacsh04a572.8/015122200aBiomathematicsh[electronic resource] :bmathematics of biostructures and biodynamics /cSten Andersson ... [et al.]. a1st ed. aAmsterdam ;aNew York :bElsevier,c1999. a1 online resource (525 p.) :bill. aThis 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.0 aChapter 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. aIncludes bibliographical references and index. aDescription based on print version record. 0aMolecular biologyxMathematics. 0aBiomathematics. 0aCytoskeletonxMathematics. 0aCellsxMorphologyxMathematics. 6aBiologie mol�eculairexMath�ematiques. 6aBiomath�ematiques. 6aCytosquelettexMath�ematiques. 6aCellulesxMorphologiexMath�ematiques. 7aSCIENCExLife SciencesxMolecular Biology.2bisacsh 7aBiomatem�atica.2larpcal 7aBiologia molecular.2larpcal 7aCitoesqueleto.2larpcal 4aElectronic books. 4aElectronic books. 2aMolecular Biology. 2aCellsxcytology. 2aCytoskeleton. 2aMathematics.1 aAndersson, Sten.08iPrint version:tBiomathematics.b1st ed.dAmsterdam ; New York : Elsevier, 1999z0444502734z9780444502735w(DLC) 99048245w(OCoLC)42428786403ScienceDirectuhttp://www.sciencedirect.com/science/book/9780444502735