By Ary L. Goldberger, Bruce J. West (auth.), H. Degn, A. V. Holden, L. F. Olsen (eds.)
In fresh years experimental and numerical reviews have proven that chaos is a frequent phenomenon in the course of the organic hierarchy starting from easy enzyme reactions to ecosystems. even though a coherent photograph of the basic mechanisms liable for chaotic dynamics has began appearing it isn't but transparent what the consequences of such dynamics are for organic structures mostly. In a few platforms it seems that chaotic dynamics are linked to a pathological condi tion. In different platforms the pathological situation has general periodic dynamics when the traditional non-pathological has chaotic dyna mics. because chaotic behaviour is so ubiquitous in nature and because the phenomenon increases a few basic questions about its implications for biology it appeared well timed to arrange an interdisciplinary assembly at which prime scientists may possibly meet to replace principles, to judge the present kingdom of the sector and to outline the tips alongside which destiny examine can be directed. the current quantity comprises the contributions to the NATO complicated examine Workshop on "Chaos in organic platforms" held at Dyffryn residence, St. Nicholas, Cardiff, U. okay. , December 8-12, 1986. At this assembly 38 researchers with hugely diversified backgrounds met to provide their most recent effects via lectures and posters and to debate the applica tions of non-linear thoughts to difficulties of universal curiosity. . despite their involvement within the learn of chaotic dynamics for numerous years a number of the members met the following for the 1st time.
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The \-dependent stability of the dominant modes across changes in their dispersion is certainly consistent with the harmlessness of the errors that do not alter hydrophobic spiral mode dominance in amino acid sequences as dU/dt ~ Ui seen in the wide range of normal haemoglobin amino acid sequence variations and those of the a andy globulins. 0 might represent a lethal mutation - perhaps not unlike that induced by the hydrophobic mass energy of, say, cigarette tar upon an oncogene (see below). 42 IV.
55(10): 1082-1085 (1985). F. Takens, Lecture Notes in Mathematics 898 (1981). POLYPEPTIDE HORMONES AND RECEPTORS: PARTICIPANTS IN AND PRODUCTS OF A TWO PARAMETER, DISSIPATIVE, MEASURE PRESERVING, SMOOTH DYNAMICAL SYSTEM IN HYDROPHOBIC MASS ENERGY Arnold J. Mandell Laboratory of Biological Dynamics and Theoretical Medicine (M-003) University of California La Jolla CA 92093 ABSTRACT Loss of a complex Fourier spectrum and the emergence of a single periodic mode indicate loss of information transport capacity, desensitisation, in the dynamics of signal-sensitive neurobiological systems.
Local stability analysis and numerical simulations are performed to evaluate the possible behaviours of the solutions as clinically relevant, physiologically realistic parameters are varied. In particular, possible mechanisms for the onset of cyclic thrombocytopenia and idiopathic thrombocytopenic purpura are discussed. I INTRODUCTION Dynamical diseases have been defined [5] as the manifestation, in an intact physiological regulatory system, of the control parameters taking values outside their normal range, the latter being operationally defined as the range of values for which the system can be considered 'healthy'.