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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
    The lateral reticular nucleus in the cat I. Mossy fibre distribution in cerebellar cortex (1974)
    Springer
    Experimental brain research 21 (1974), S. 473-486 
    Details
    ISSN: 1432-1106
    Keywords: Lateral reticular nucleus ; Reticulocerebellar projection ; Cerebellum ; Cat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary 1. The areas of the cerebellar cortex receiving fibres from the mLRN (major portion of the lateral reticular nucleus comprising its parvi- and magnocellular parts) were determined by identifying the low-threshold spots on the cerebellar surface from which 286 mLRN neurones could be antidromically activated. 2. The mLRN fibres terminate bilaterally in the anterior lobe and pyramis, and ipsilaterally in the paramedian lobule. Some fibres terminate also in the rostral part of lobule VI but hardly any in other parts of the cortex. It follows that the mLRN projects almost exclusively to the classical spinal receiving areas. 3. Neurones in the parvi- and magnocellular parts project to similar cortical areas. 4. Two regions in the mLRN were distinguished on the basis of their different projection areas. Region A, a dorsolateral portion of the magnocellular part, projects to the ipsilateral parts intermedia of the anterior lobe and the ipsilateral paramedian lobule. Region B, a ventral portion of the parvi- and magnocellular parts, projects bilaterally to the pars intermedia and vermis of the anterior lobe and sparsely to the pyramis. 5. Neurones throughout the parvi- and magnocellular parts receive monosynaptic excitation from fibres ascending in the ventral part of the ipsilateral lateral funiculus.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00237166
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Functional organization of the spinoreticulocerebellar path with identification of its spinal component (1966)
    Springer
    Experimental brain research 1 (1966), S. 306-319 
    Details
    ISSN: 1432-1106
    Keywords: Lateral reticular nucleus ; Reticulocerebellar tract ; Spinoreticular tract ; Cerebellum ; Flexor reflex afferents
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Mass discharges were recorded from the dissected left restiform body in unanaesthetized, decerebrate, and decerebellate cats. The spinal cord was severed in the thoracic or cervical region sparing only the left ventral quadrant. In this preparation the discharges were shown to relate largely or exclusively to activity in the reticulocerebellar tract originating from the lateral reticular nucleus. The ascending spinal tract was identified with the bilateral ventral flexor reflex tract (bVFRT) of Lundberg and Oscarsson (1962). The reticulocerebellar tract was activated from the flexor reflex afferents and nerve volleys from each of the four limbs were equally effective. It is concluded that the lateral reticular nucleus is not responsible for the somatotopically organized projection of cutaneous afferents, as assumed before. The bVFRT is strongly influenced from the cerebellar cortex and the organization of the closed loop formed between the cortex and the spinal cord is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00237703
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  • 4
    Electronic Resource
    Electronic Resource
    Response characteristics of retieulocerebellar neurones activated from spinal afferents (1966)
    Springer
    Experimental brain research 1 (1966), S. 320-328 
    Details
    ISSN: 1432-1106
    Keywords: Lateral reticular nucleus ; Reticulocerebellar tract ; Spinoreticular tract ; Cerebellum ; Flexor reflex afferents
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The experiments were done on unanaesthetized, decerebrate, and decerebellate cats. Recording was made from axons originating in the lateral reticular nucleus on stimulation of various nerves, cutaneous receptors, and certain descending tracts. Excitatory and inhibitory effects were evoked from the flexor reflex afferents of receptive fields which included most of the body surface. It is concluded that the lateral reticular nucleus with respect to its afferent inflow is similar to the non-cerebellar nuclei of the reticular formation. The possibility that the reticulocerebellar tract is important in determining the background excitation of cortical neurones is discussed. The effects evoked by stimulation of descending tracts were consistent with the disclosure that the bilateral ventral flexor reflex tract is the afferent path to the lateral reticular nucleus.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00237704
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  • 5
    Electronic Resource
    Electronic Resource
    The lateral reticular nucleus in the cat II. Organization of component activated from bilateral ventral flexor reflex tract (bVFRT) (1974)
    Springer
    Experimental brain research 21 (1974), S. 487-500 
    Details
    ISSN: 1432-1106
    Keywords: Lateral reticular nucleus ; Bilateral ventral flexor reflex tract (bVFRT) ; Spino-reticulo-cerebellar path ; Cerebellum ; Cat
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary 1. Neurones in the lateral reticular nucleus (LRN) activated by the bilateral ventral flexor reflex tract (bVFRT-LRN neurones) were identified by their responses to stimulation of fibres descending in the contralateral ventral quadrant of the spinal cord which activate the bVFRT neurones monosynaptically. 2. Eighty-eight of the 134 bVFRT-LRN neurones encountered could be antidromically activated at a low stimulus strength from small areas of the cerebellar surface assumed to represent cortical termination points. 3. The bVFRT-LRN neurones occurred throughout the parvi- and magnocellular parts of the LRN and terminated bilaterally in the anterior lobe and sparsely in the ipsilateral paramedian lobule and in the pyramis. 4. The responses evoked in the bVFRT-LRN neurones on stimulation of the contralateral ventral quadrant at C5 and L1 made it possible to estimate the approximate spinal level from which the bVFRT fibres originated. On this basis the bVFRT-LRN neurones were divided into cervical, thoracic, and lumbar groups receiving bVFRT afferents from mainly one spinal level and a convergence group receiving bVFRT afferents from several levels. 5. The different bVFRT-LRN groups received excitation from different combinations of nerves in the four limbs. 6. The cervical, thoracic and lumbar groups of the bVFRT-LRN neurones occurred in successively more ventrolateral portions of the LRN. 7. The cervical, thoracic and lumbar groups of the bVFRT-LRN neurones terminated in successively more rostral areas of the anterior lobe. 8. The organization of the bVFRT-LRN path is compared with that of the ventral and rostral spinocerebellar tracts. The possible function of the bVFRT-LRN path is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00237167
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    Paper (German National Licenses)
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