The decay of turbulence in the burgers model
Physica D Nonlinear PhenomenaPublished 1 January 1981
S. S. Moiseev, A. Toor, Vladimir Yanovsky
Citations1,055
SJR quartileQ1
SJR score0.94
SNIP1.39
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
A dynamical model for the immune system is described that is based on the network hypothesis of Jerne, and is simple enough to simulate on a computer, and has a strong similarity to an approach to learning and artificial intelligence introduced by Holland, called the classifier system.
Abstract
Statistical characteristics of the turbulence in the Burgers model are obtained
Keywords
Economics, Econometrics and FinanceEngineering
Advances in applied mechanicsA Mathematical Model Illustrating the Theory of Turbulence
2,479 Citations1948J. M. Burgers
Journal of Theoretical BiologyAutocatalytic sets of proteins
737 Citations1986Stuart Kauffman
The main conclusions appear independent of the idealizations of the initial model, introduce a novel kind of parallel selection for peptides catalyzing connected sequences of reactions, depend upon a new kind of minimal critical complexity whose properties are definable, and suggest that the emergence of self replicating systems may be a self organizing collective property of critically complex protein systems in prebiotic evolution.
Journal of Theoretical BiologyTheoretical studies of clonal selection: Minimal antibody repertoire size and reliability of self-non-self discrimination
652 Citations1979Alan S. Perelson, George Oster
It is argued that multisite recognition is a more reliable method of distinguishing between molecules than single site recognition, which may have been an important evolutionary consideration in the selection of weak non-covalent interactions as the basis of antigen-antibody bonds.
Medical Entomology and ZoologyA learning system based on genetic adaptive algorithms
541 Citations1980Stephen Frederick Smith
This thesis is concerned with investigating the feasibility of constructing a general purpose learning system around a particular class of domain independent methods called genetic algorithms, and a specific learning system organization, LS-1, is proposed.
Genetic Algorithms and Adaptation
331 Citations1984John H. Holland
Genetics provides us with a canonical example of a complex search through a space of ill-defined possibilities to generate useful organization — the functional properties of the organism.
Deep Blue (University of Michigan)Computer-Aided Gas Pipeline Operation Using Genetic Algorithms and Rule Learning.
248 Citations1983David E. Goldberg
European Journal of ImmunologyA theory of regulation and self‐nonself discrimination in an immune network
181 Citations1975Geoffrey W. Hoffmann
A mechanism is suggested for the regulation of the immune response that involves antigen‐binding and anti‐idiotypic lymphocytes and antigen‐specific T cell‐dependent factors, which are assumed to be able to block the receptors of both T cells and cells of the anti-idiotymic specificities.
European Journal of ImmunologyA network theory of the immune system
154 Citations1975Péter Richter
The face that every antibody also had antigenic properties leads to the existence of a functional network of interacting antibodies and lymphocytes in the immune system, and some of the principal features of the immune response such as normal primary and secondary response, low and highzone tolerance induction, and memory can be reproduced.
Proceedings of the National Academy of SciencesHypermutation at the immunoglobulin heavy chain locus in a pre-B-cell line.
148 Citations1985Matthias Wabl, Peter D. Burrows +2 more
Most cells in the well-known pre-B-lymphocyte line 18-81 have correctly assembled genes for both alleles at the immunoglobulin heavy chain locus, but only one allele is "active"; the other, "silent" allele contains an amber termination codon.
Journal of Theoretical BiologyA neural network model based on the analogy with the immune system
106 Citations1986Geoffrey W. Hoffmann
The similarities between the immune system and the central nervous system lead to the formulation of an unorthodox neural network model that leads to prediction that the variance in the rates of firing of the neurons associated with memory should increase during waking hours, and decrease during sleep.
Journal of Fluid MechanicsStatistical mechanics of the Burgers model of turbulence
74 Citations1972Tomomasa Tatsumi, Shigeo Kida
Contemporary topics in immunobiologyOn Network Theory and H-2 Restriction
49 Citations1980Geoffrey W. Hoffmann
A more extensive review of the data relevant to the network hypothesis of Jerne is presented, and a number of phenomena are discussed within the framework of the theory that were not previously treated.
Lecture notes in biomathematicsChemical Automata in Homogeneous and Reaction-Diffusion Kinetics
43 Citations1974Otto E. Rössler
ImmunochemistrySome remarks on the stability of the idiotypic network
37 Citations1977J. Hiernaux
It is shown how each mode of the immune response may be interpreted as a transition from one steady state to another one, following antigenic or any other stimulation.
The Physics of FluidsEnergy decay of Burgers’ model of turbulence
13 Citations1976Kiyoshi Yamamoto, Iwao Hosokawa
Journal of Theoretical BiologyA qualitative study of an idiotypic cyclic network
8 Citations1979M. Seghers
This work studies a network made up of small cycles of idiotypic units, each element activating the subsequent one and repressing the preceding one, and suggests to interpret the response to an antigenic challenge as a transition from one steady state to another.