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  • 1
    Electronic Resource
    Electronic Resource
    Coarse coding: applications to the visual system of salamanders (1997)
    Springer
    Biological cybernetics 77 (1997), S. 41-47 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract. In a previous study, we calculated the resolution obtained by a population of overlapping receptive fields, assuming a coarse coding mechanism. The results, which favor large receptive fields, are applied to the visual system of tongue-projecting salamanders. An analytical calculation gives the number of neurons necessary to determine the direction of their prey. Direction localization and distance determination are studied in neural network simulations of the orienting movement an d the tongue projection, respectively. In all cases, large receptive fields are found to be essential to yield a high sensory resolution. The results are in good agreement with anatomical, electrophysiological and behavioral data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004220050365
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  • 2
    Electronic Resource
    Electronic Resource
    A nonlinear treatment of the protocell model by a boundary layer approximation (1987)
    Springer
    Bulletin of mathematical biology 49 (1987), S. 307-320 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The “protocell” is a mathematical model of a self-maintaining unity based on the dynamics of simple reaction-diffusion processes and a self-controlled dynamics of the surface. In this paper its spatio-temporal behaviour far from the stationary structure is investigated by means of a boundary layer approximation. It is shown in detail how a simplified and mathematically feasible equation can be derived from the original parabolic problem. It turns out that the known instability which is initiated in the linear region around the stationary structure is continued further in the direction to a division by nonlinear dynamics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460122
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  • 3
    Electronic Resource
    Electronic Resource
    Modeling stochastic spike train responses of neurons: an extended Wiener series analysis of pigeon auditory nerve fibers (1997)
    Springer
    Biological cybernetics 76 (1997), S. 153-162 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract. A general method for developing data-based, stochastic nonlinear models of neurons by means of extended functional series expansions was applied to neural activities of pigeon auditory nerve fibers responding to Gaussian white noise stimuli. To determine Wiener series representations of the investigated neurons the fast orthogonal search algorithm was used. The results suggest that nonlinearities are only instantaneous and that the signal transduction of the investigated sensory system can be described by cascades of dynamic linear and static nonlinear devices. However, only slight improvements result from the nonlinear terms. Considerable improvements are, nevertheless, possible by generalizing the ordinary Wiener series, so that prior neural activity can be taken into account. These extended series were used to develop stochastic models of spiking neurons. The models are able to generate realistic interspike interval distributions and rate-intensity functions. Finally, it will be shown that the irregularity in real and modeled action potential trains has advantages concerning the decoding of neural responses.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004220050328
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  • 4
    Electronic Resource
    Electronic Resource
    Coarse coding: calculation of the resolution achieved by a population of large receptive field neurons (1997)
    Springer
    Biological cybernetics 76 (1997), S. 357-363 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract. Electrophysiological studies in various sensory systems of different species show that many neurons involved in object localization have large receptive fields. This seems to contradict the high sensory resolution and the behavioral precision observed in localization experiments. Assuming a coarse coding mechanism, the resolution obtained by an ensemble of neurons is analytically calculated as a function of receptive field size. It is shown that particularly large receptive fields yield a high resolution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004220050349
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  • 5
    Electronic Resource
    Electronic Resource
    Path integration — a network model (1995)
    Springer
    Biological cybernetics 73 (1995), S. 569-575 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract Path integration is a primary means of navigation for a number of animals. We present a model which performs path integration with a neural network. This model is based on a neural structure called a sinusoidal array, which allows an efficient representation of vector information with neurons. We show that exact path integration can easily be achieved by a neural network. Thus deviations from the direct home trajectory, found previously in experiments with ants, can not be explained by computational limitations of the nervous system. Instead we suggest that the observed deviations are caused by a strategy to simplify landmark navigation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00199549
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  • 6
    Electronic Resource
    Electronic Resource
    Path integration - a network model (1995)
    Springer
    Biological cybernetics 73 (1995), S. 569-575 
    Details
    ISSN: 1432-0770
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Computer Science , Physics
    Notes: Abstract. Path integration is a primary means of navigation for a number of animals. We present a model which performs path integration with a neural network. This model is based on a neural structure called a sinusoidal array, which allows an efficient representation of vector information with neurons. We show that exact path integration can easily be achieved by a neural network. Thus deviations from the direct home trajectory, found previously in experiments with ants, can not be explained by computational limitations of the nervous system. Instead we suggest that the observed deviations are caused by a strategy to simplify landmark navigation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004220050212
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  • 7
    Electronic Resource
    Electronic Resource
    Proceedings against professor (1976)
    [s.l.] : Nature Publishing Group
    Nature 259 (1976), S. 360-360 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] SIR,- In Nature recently under the heading 'Anti-nuclear critic faces dismissal' (October 23, 1975, page 636) it was maintained that Professor Jens Scheer is '"head of a university department" and is threatened with dismissal apparently because he criticises the construction of nuclear power ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/259360a0
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  • 8
    Electronic Resource
    Electronic Resource
    Fluctuations in circulating cell numbers following chemotherapy or bone marrow transplant (1994)
    Springer
    Journal of mathematical biology 32 (1994), S. 761-770 
    Details
    ISSN: 1432-1416
    Keywords: Fluctuations ; Stochastic PDEs ; Blood cell maturation ; Chemotherapy ; Bone marrow transplant
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract We study the effect of noise on the behaviour of a dynamic cell population model in which cell replication and maturation take place simultaneously. We assume that the maximum proliferative potential ν fluctuates uniformly about a mean value of v, and show that a decrease in v and/or the input flux u in into the population can lead to an increase in the variance in the cellular efflux u f. We draw a qualitative correspondence between this behaviour and the commonly observed increase in the variance of circulating blood cell numbers following chemotherapy and radiotherapy, both of which lead to a decrease in v and u in , and bone marrow transplant which probably corresponds to a decrease in u in .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00168796
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  • 9
    Electronic Resource
    Electronic Resource
    Ensemble and trajectory statistics in a nonlinear partial differential equation (1993)
    Springer
    Journal of statistical physics 70 (1993), S. 281-295 
    Details
    ISSN: 1572-9613
    Keywords: Parametric noise ; nonlinear partial differential equations ; ensemble statistics ; trajectory statistics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We have examined the influence of parametric noise on the solution behavioru(t, x) of a nonlinear initial value(ϕ) problem arising in cell kinetics. In terms of ensemble statistics, the eventual limiting solution mean $$\mathop \xi \limits^ - _u$$ and variance $$\mathop {\sigma _u^2 }\limits^ -$$ are well-characterized functions of the noise statistics, and $$\mathop \xi \limits^ - _u$$ and $$\mathop {\sigma _u^2 }\limits^ -$$ depend on ϕ. When noise is continuously present along the trajectory, $$\mathop \xi \limits^ - _u$$ and $$\mathop {\sigma _u^2 }\limits^ -$$ are independent of the noise statistics and ϕ. However, in their evolution toward $$\mathop \xi \limits^ - _u$$ and $$\mathop {\sigma _u^2 }\limits^ -$$ , bothξ u (t, x) andσ u 2 (t, x) depend on the noise andϕ.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01053968
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  • 10
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    Coarse coding: applications to the visual system of salamanders (1997)
    Springer
    Details
    Publication Date: 1997-08-21
    Print ISSN: 0340-1200
    Electronic ISSN: 1432-0770
    Topics: Biology , Computer Science , Physics
    Published by Springer
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