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  • 1
    Electronic Resource
    Electronic Resource
    Fully discrete approximation methods for the estimation of parabolic systems and boundary parameters (1986)
    Springer
    Acta applicandae mathematicae 7 (1986), S. 1-34 
    Details
    ISSN: 1572-9036
    Keywords: 41A15 ; 65N30 ; Parabolic systems ; parameter estimation ; approximation methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A spatially and temporally discrete numerical approximation scheme is developed for the identification of a class of semilinear parabolic systems with unknown boundary parameters. The identification problem is formulated as a least squares fit to data subject to an equivalent representation for the dynamics in the form of an abstract evolution equation. Finite-dimensional difference equation state approximations are constructed using a cubic spline-based, Galerkin method and the Padé rational function approximations to the exponential. A sequence of approximating identification problems result, the solutions of which are shown to exist and, in a certain sense, approximate solutions to the original identification problem. Numerical results for two examples, one involving the modeling of biological mixing in deep sea sediment cores, and the other, the estimation of transport parameters for indoor mixing, are discussed. In both examples, the identification is based upon actual experimental data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00046975
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Peripheral afferent inputs to the forelimb area of the monkey motor cortex: Input-output relations (1972)
    Springer
    Experimental brain research 14 (1972), S. 257-273 
    Details
    ISSN: 1432-1106
    Keywords: Motor cortex ; Monkey ; Somatic input
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary 1. Peripheral inputs to cortical efferent zones projecting to distal forelimb muscles were examined in Cebus monkey by using one microelectrode both for low intensity intracortical stimulation and for recording cellular discharges. 2. Efferent zones within the motor cortex received afferent inputs from skin, joint and muscle receptors. 3. A given efferent zone received afferent inputs from receptors in muscles as well as joints involved in the movement produced by microstimulation within that zone. 4. Cells activated by tactile stimuli had receptive fields almost exclusively on the glabrous volar surface of the hand and lay within cortical efferent zones projecting to finger flexor muscles. 5. The region of low threshold efferent zones which projected to distal forelimb muscles was found to coincide with a region receiving short latency afferent input from group II cutaneous and deep afferents. Group I muscle afferents projected to an adjacent area of the cortex. 6. The organization of motor cortex in cat and monkey was compared with particular reference to input-output relations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00816162
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Topographical organization of cortical efferent zones projecting to distal forelimb muscles in the monkey (1972)
    Springer
    Experimental brain research 14 (1972), S. 243-256 
    Details
    ISSN: 1432-1106
    Keywords: Motor cortex ; Monkey ; Microstimulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The functional organization of a cortical efferent system controlling contralateral distal forelimb muscles was examined in monkeys using the method of intracortical microstimulation (ICMS). The results obtained are: 1. Thresholds of stimulation for producing contraction of contralateral distal forelimb muscles were much lower (less than 1/100) in the depth of the cortex than on the surface. 2. These low threshold spots were confined to a small region of the cortex (hand area) and ICMS with the same strength in the neighboring cortex did not produce contraction from any part of the body. 3. Low threshold spots for a given movement were distributed along the direction of radial fibers within the gray matter constituting a columnar shape. 4. Within a given columnar efferent zone, the thresholds were lower in the deep layer (V) than in the superficial layers. 5. Each efferent zone had a sharp boundary, and frequently overlapped with another efferent zone which produced an opposite movement. 6. Efferent zones controlling various movements of a joint were located close together and zones projecting to proximal muscles were located more rostrally than those projecting to distal muscles. 7. These efferent zones constitute a fine mosaic organization within the depth of the cortex and functional significance of the organization was discussed in relation to the pyramidal tract.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00816161
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    Paper (German National Licenses)
    Fulltext
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