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  • Springer  (19)
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  • 1
    Electronic Resource
    Electronic Resource
    Self-organizing mechanism for the formation of ordered neural mappings (1984)
    Springer
    Biological cybernetics 51 (1984), S. 93-101 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract A model for the formation of ordered neural mappings in general, and of retinotectal connections, in particular is given. The main point came from the theory of “noise induced transitions”, i.e. order may be the result of the interplay between deterministic and random interactions. An activity-dependent self-organizing mechanism is presented in terms of modifiable synapses. Simulation experiments were done not only for the normal ontogenetic development but also for the plastic behaviour of the retinotopic connections.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00357922
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  • 2
    Electronic Resource
    Electronic Resource
    Dynamics of the olfactory bulb: bifurcations, learning, and memory (1993)
    Springer
    Biological cybernetics 69 (1993), S. 57-66 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract A mathematical model for describing dynamic phenomena in the olfactory bulb is presented. The nature of attractors and the bifurcation sequences in terms of the lateral connection strength in the mitral layer are studied numerically. Chaotic activity has only been found in the case of strong excitatory coupling. Synaptic modification-induced transition from oscillation to chaos is demonstrated. A model for a simple associative memory is also presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00201408
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  • 3
    Electronic Resource
    Electronic Resource
    Statistical model of the hippocampal CA3 region (1998)
    Springer
    Biological cybernetics 79 (1998), S. 301-308 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract. A model with intermediate complexity is introduced to reproduce the basic firing modes of the CA3 pyramidal cell. Our model consists of a single compartment, has two variables (membrane potential and internal calcium concentration), and involves two separate stages for interspike mechanisms and firing. Interspike dynamics is governed by voltage- and calcium-dependent ionic channels but no channel kinetics are provided. This model is suitable to be included in our statistical population model (Part II, following paper). Bifurcation analysis reveals that interspike dynamics rather than sodium firing has the dominant role in the control of bursting/nonbursting behavior.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004220050480
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  • 4
    Electronic Resource
    Electronic Resource
    Statistical model of the hippocampal CA3 region (1998)
    Springer
    Biological cybernetics 79 (1998), S. 309-321 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract. A statistical model is given to describe the electrical activity patterns of large neural populations of the hippocampal CA3 region. A continuous model has been formalized to describe the statistical processes governing the interactions within and between neural fields. The system of partial differential equations contains diffusion terms which determine the evolution of second moments of the probability distribution functions. The model is supplemented with a differential description of post-synaptic potentials. The discretization procedure has been designed so as to make the discrete equations scaling invariant. Population activities as well as underlying single-cell voltages are simulated during normal and epileptiform activities in the hippocampal CA3 slice. It is demonstrated that our model can reproduce electrophysiological phenomena characteristic to both single-cell and population activities. Specifically, fully synchronized population bursts, synchronized synaptic potentials, and low amplitude population oscillation were obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004220050481
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  • 5
    Electronic Resource
    Electronic Resource
    On the dynamic organization of memory (1991)
    Springer
    Biological cybernetics 65 (1991), S. 73-79 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract The interaction of memory structures and retrieval dynamics is discussed. A mathematical model for associative free recall is presented to support the view that the organization of simple processing units plays an important role in the retrieval of memory traces. Computer simulations show that “flexibility” and “fidelity” of the dynamics strongly depend on the network structure, the amplification and decay parameters, and the noise term.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00197292
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  • 6
    Electronic Resource
    Electronic Resource
    Investigation of transmitter-receptor interactions by analyzing postsynaptic membrane noise using stochastic kinetics (1979)
    Springer
    Biological cybernetics 32 (1979), S. 41-45 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract The stoichiometric and kinetic details of transmitter-receptor interaction (the number of conformations and the rate constants of conformation changes) in synaptic transmission have been investigated analyzing postsynaptic membrane noises by the aid of the fluctuation-dissipation theorem of stochastic chemical kinetics. The main assumptions are the following: (i) the transmitter-receptor interaction is modelled by a closed compartment system (a special complex chemical reaction) of unknown length,- (ii) the quantity of transmitter is maintained at a constant level,- (iii) the conductance is a linear function of the conformation quantity vector.- The main conclusion is: the conductance spectral density function is determined by three qualitatively different factors: (i) the length of the compartment system,- (ii) the precise form of the conductance-conformation quantity vector,-(iii) the matrix of the reaction rate constants.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00337450
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  • 7
    Electronic Resource
    Electronic Resource
    Stochastic simulation of chemical reaction by digital computer, I. The model (1974)
    Springer
    Reaction kinetics and catalysis letters 1 (1974), S. 113-117 
    Details
    ISSN: 1588-2837
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Abstract Описывается стохастическая модель сложных химических реакций. Дискретный процесс Маркова соответствует модели сложной химической реакции, Т.е. Концентрации компонентов являют ся дискретными величинами. Рассматриваются различия между стохастической и детерминистической моделями.
    Notes: Abstract A stochastic model of complex chemical reactions is outlined. A discrete Markov process corresponds to the complex chemical reaction in the model i.e. the concentrations of the components are discrete quantities. The differences between the stochastic and deterministic models are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02075130
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  • 8
    Electronic Resource
    Electronic Resource
    Stochastic reaction kinetics=“nonequilibrium thermodynamics” of the state space? (1976)
    Springer
    Reaction kinetics and catalysis letters 4 (1976), S. 81-85 
    Details
    ISSN: 1588-2837
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Abstract Приводятся зависимости между детерминистической и стохастической моделями сложных химических реакций. Были сделаны выводы относительно возможного развития квази-термодинамической теории реакционной кинетики на основе стохастических процессов.
    Notes: Abstract Relations between the deterministic and stochastic models of a complex chemical reaction are presented. Indications are given about the possible development of a quasi-thermodynamic theory of reaction kinetics by the aid of stochastic processes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02073974
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  • 9
    Electronic Resource
    Electronic Resource
    Some comments on Prigogine's theories (1979)
    Springer
    Reaction kinetics and catalysis letters 11 (1979), S. 371-375 
    Details
    ISSN: 1588-2837
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Abstract Приводятся некоторые возражения относительно теорий группы Брюсселя, т.к. они слишком пр=yeувеличивают требования к теории, пренебрегают другими сюда относящимися теориями термодинамики и преувеличивают роль распределения Пуассона. Приводятся необходимые и достаточные условия (необязательно линейные) простых процессов рождения-и-смерти, собюдающие стационарное распределение Пуассона.
    Notes: Abstract Objections are raised against the theories of the Brussels group because they greatly exaggerate claims for the theory, neglect other relevant theories of themodynamics and overemphasize the role of the Poisson distribution. A necessary and sufficient condition will be given for (not necessary linear) simple birth-and-death processes to have a Poissonian stationary distribution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02079728
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  • 10
    Electronic Resource
    Electronic Resource
    Stochastic simulation of chemical reactions by digital computer, II. Applications (1974)
    Springer
    Reaction kinetics and catalysis letters 1 (1974), S. 209-213 
    Details
    ISSN: 1588-2837
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Abstract Описывается программа для ЭВМ, составленная с целью реализации стохастической модели комплексных химических реакций. Применение программы иллюстрируется на двух примерах: 1) реакция протекает на адсорбирующей поверхности и 2) реакция протекает в условиях плазмы.
    Notes: Abstract The computer program aimed at the realization of a stochastic model of complex chemical reactions /1/ is described. Two applications of the program are given: (i) a reaction taking place on an adsorbent surface, and (ii) a reaction occurring under plasma conditions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02067542
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