991 resultados para Critical Pathways
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Neurocritical care is an ever-changing field. The publishers and author of The Flying Publisher Guide to Critical Care in Neurology have made every effort to provide information that is accurate and complete as of the date of publication. However, in view of the rapid changes occurring in medical science, as well as the possibility of human error, this site may contain technical inaccuracies, typographical or other errors. It is the responsibility of the reading physician who must rely on experience and knowledge about the patient to determine the best treatment and care pathway. The information contained herein is provided as is, without warranty of any kind. The contributors to this book, including Flying Publisher & Kamps, disclaim responsibility for any errors or omissions or for results obtained from the use of information contained herein.
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Magdeburg, Univ., Fak. fr Naturwiss., Diss., 2011
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Protease-activated receptor; c-Jun N-terminal kinase (JNK); thrombin; neuroprotection; siRNA
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Weaning, social environment, dendrites, dendritic spines, limbic system
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Magdeburg, Univ., Fak. fr Naturwiss., Diss., 2010
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Magdeburg, Univ., Fak. fr Naturwiss., Diss., 2013
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Magdeburg, Univ., Fak. fr Naturwiss., Diss., 2014
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n.s. no.79(1994)
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We prove that any subanalytic locally Lipschitz function has the Sard property. Such functions are typically nonsmooth and their lack of regularity necessitates the choice of some generalized notion of gradient and of critical point. In our framework these notions are defined in terms of the Clarke and of the convex-stable subdifferentials. The main result of this note asserts that for any subanalytic locally Lipschitz function the set of its Clarke critical values is locally finite. The proof relies on Pawlucki's extension of the Puiseuxlemma. In the last section we give an example of a continuous subanalytic function which is not constant on a segment of "broadly critical" points, that is, points for which we can find arbitrarily short convex combinations of gradients at nearby points.
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"Vegeu el resum a l'inici del document del fitxer adjunt."
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We analyze the two-dimensional parabolic-elliptic Patlak-Keller-Segel model in the whole Euclidean space R2. Under the hypotheses of integrable initial data with finite second moment and entropy, we first show local in time existence for any mass of "free-energy solutions", namely weak solutions with some free energy estimates. We also prove that the solution exists as long as the entropy is controlled from above. The main result of the paper is to show the global existence of free-energy solutions with initial data as before for the critical mass 8 /. Actually, we prove that solutions blow-up as a delta dirac at the center of mass when t keeping constant their second moment at any time. Furthermore, all moments larger than 2 blow-up as t if initially bounded.
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Variational steepest descent approximation schemes for the modified Patlak-Keller-Segel equation with a logarithmic interaction kernel in any dimension are considered. We prove the convergence of the suitably interpolated in time implicit Euler scheme, defined in terms of the Euclidean Wasserstein distance, associated to this equation for sub-critical masses. As a consequence, we recover the recent result about the global in time existence of weak-solutions to the modified Patlak-Keller-Segel equation for the logarithmic interaction kernel in any dimension in the sub-critical case. Moreover, we show how this method performs numerically in one dimension. In this particular case, this numerical scheme corresponds to a standard implicit Euler method for the pseudo-inverse of the cumulative distribution function. We demonstrate its capabilities to reproduce easily without the need of mesh-refinement the blow-up of solutions for super-critical masses.
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"Vegeu el resum a l'inici del document del fitxer adjunt."