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) - Hardcover

Hardcover

ISBN 10: 0306446618 ISBN 13: 9780306446610

Publisher: Kluwer Academic / Plenum Publishers, 1994

Synopsis

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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About the Author

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.

Synopsis

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 pattern regulation of a cell; sequential and synch

Edition details

• Publisher: Kluwer Academic / Plenum Publishers
• Publication date: 1994
• Language: English
• ISBN 10: 0306446618
• ISBN 13: 9780306446610
• Binding: Hardcover
• Number of pages: 388
• Editor: Othmer Hans G., Etc.