Experimental and Theoretical Advances in Biological Pattern Formation: Proceedings of a NATO ARW Held in Oxford, United Kingdom, August 27-September ... v. 259 (NATO Science Series A: Life Sciences) - Tapa dura

 
9780306446610: Experimental and Theoretical Advances in Biological Pattern Formation: Proceedings of a NATO ARW Held in Oxford, United Kingdom, August 27-September ... v. 259 (NATO Science Series A: Life Sciences)

Sinopsis

General Modes of Pattern Formation; J.D. Murray. Process and Outcome; P. Alberch, M.J. Blanco. Retinoic Acid Cannot be the Morphogen in Reaction Diffusion Models for the Formation of the Chick Wing Bud; Y. Almirantis, S. Papageorgiou. Pattern Formation in Heterogeneous Domains; D.L. Benson, et al. A Field Model of Symmetry Reversals in the Pattern Regulation of a Cell; W.A.M. Brandts. Patterning in Limbs; S.V. Bryant, et al. The Development of a Spatial Pattern in a Model for Cancer Growth; M.A.J. Chaplain. Sequential and Synchronous Skin Pattern Formation; G.C. Cruywagen, et al. Control of Gap Junction Permeability Can Control Pattern Formation in Limb Development; R. Dillon, H.G. Othmer. Mapping Gene Activities into Morphological Patterns in Drosophila; B. Goodwin, S. Kauffman. Trajectories of Swimming Microorganisms and Continuum Models of Bioconvection; N.A. Hill. The Chicken and the Egg; T.J. Horder. 20 additional articles. Index.

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Reseña del editor

The proceedings of the August 1992 workshop comprise 32 contributions in five main areas: limb development, Dictyostelium discoideum, Drosophila, cell movement, and general pattern formation. Topics include: evolutionary analysis of morphological patterns; a field model of symmetry reversals in the

Biografía del autor

Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries.- Geometric algebra Projective Geometries; Affine and other geometries; Affine Geometry of pseudo-euclidean space; Conformal Geometry and the Horosphere; References. Content-Based Information Retrieval by Group Theoretical Methods.- Introduction; Motivating Examples; General Concept; Fault Tolerance.- Applications, Prototypes, and Test Results; Related Work and Future Research; References.- Four Problems in Radar.-Introduction; Radar Fundamentals; Radar Waveforms; Signal Processing; Space-Time Adaptive Processing; Four Problems in Radar; Conclusions. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups.-Generalized classical signal/system theory on hypergroups; Generalized quantum signal/system theory on hypergroups; Conclusion; References. Lie Groups and Lie Algebras in Robotics.- Introduction -- Rigid Body Motions; Lie Groups; Finite Screw Motions; Mechanical Joints; Invisible Motion and Gripping; Forward Kinematics; Lie Algebra; The Adjoint Representation; The Exponential Map Derivatives of Exponentials; Jacobians; Concluding Remarks; References. Quantum/Classical Interface: a Geometric Approach from the Classical Side.- Introduction Paravector Space as Spacetime; Eigenspinors; Spin; Dirac Equation; Bell's Theorem; Qubits and Entanglement; Conclusions; References. PONS, Reed-Muller Codes, and Group Algebras.- Introduction; Analytic Theory of One-Dimensional PONS (Welti); Shapiro Sequences, Reed-Muller Codes, and Functional Equations; Group Algebras; Reformulation of Classical PONS; Group Algebra of Classical PONS; GroupAlgebra Convolution; Splitting Sequences; Historical Appendix on PONS; References. Clifford Algebras as a Unified Language.- Introduction; Clifford algebras as models of physical spaces; Clifford Algebras as Models of Perceptual Multicolor Spaces; Hypercomplex-Valued invariants of nD multicolor images; Conclusions; Acknowledgments; References. Recent Progress and Applications in Group FFTs.-Introduction; Finite group FFTs; FFTs for compact groups; Noncompact groups; References. Group Filters and Image Processing.- Introduction: Classical Digital Signal Processing; Abelian Group DSP; Nonabelian Groups; Examples; Group Transforms; Group Filters; Line-like Images; Acknowledgments; References. A Geometric Algebra Approach to Some Problems of Robot Vision.- Introduction; Local Analysis of Multi-dimensional Signals; Knowledge Based Neural Computing; Acknowledgments; References. Group Theory in Radar and Signal Processing.- Introduction; How a Radar Works; Representations; Representations and Radar; Ambiguity Functions; The Wide Band Case; References. Geometry of Paravector Space with Applications to Relativistic Physics.- Clifford Algebras in Physics; Paravector Space as Spacetime; Interpretation; Eigenspinors; Maxwell's Equation; Conclusions; References. A Unified Approach to Fourier-Clifford-Prometheus Transforms- Introduction; New construction of classical and multiparametric Prometheus transforms; PONS associated with Abelian groups; Fast Fourier-Prometheus Transforms; Conclusions; Acknowledgments; References. Fast Color Wavelet Transforms.- Introduction; Color images; Color Wavelet-Haar-Prometheus transforms; Edge detection and compression of color images; Conclusion; Acknowledgments; References. Selected Problems; Various Authors.- Transformations of Euclidean Space and Clifford Geometric; Algebra; References; On the Distribution of Kloosterman Sums on Polynomials over Quaternions; References; Harmonic Sliding Analysis Problems; References; Spectral Analysis under Conditions of Uncertainty; A Canonical Basis for Maximal Tori of the Reductive Centrizer of a Nilpotent Element; References; 6 The Quantum Chaos Conjecture References; Four Problems in Radar; Topic Index; Author Index

James D. Murray is Professor Emeritus of Applied Mathematics at the University of Washington.

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9781461360339: Experimental and Theoretical Advances in Biological Pattern Formation: 259 (NATO Science Series A:)

Edición Destacada

ISBN 10:  1461360331 ISBN 13:  9781461360339
Editorial: Springer, 2012
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