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  • 1
    ISSN: 1432-2323
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract. The factors that can influence the outcome of orthotopic liver transplantation (OLT) are numerous. The purpose of this study was to determine the effects of recipient preoperative factors on patient mortality. Between April 1986 and April 1998 a total of 600 OLTs were performed in our institution. We retrospectively reviewed our first 203 consecutive primary adult OLTs with at least 4 years of follow-up. A case-control comparison was performed between survivors and nonsurvivors, and differences in recipient variables were studied for their correlation with patient mortality. A logistic regression analysis was also performed. Mortality was significantly increased among those with fulminant hepatic failure (FHF) (66.6%, p= 0.003), primary cancer (63.1%, p= 0.018), females (46.1%, p= 0.043), encephalopathy grade IV (72.7%, p= 0.012), recipients under respiratory support (69.2%, p= 0.031), and ABO-incompatible transplants (80%, p= 0.05). FHF, primary cancer, and female gender were the only variables that had a significant association with mortality in the logistic regression analysis. A higher incidence of prolonged respiratory support, bacterial and fungal infections, pneumonia, and chronic rejection contributed to the lower outcome observed in females. These results stress the need for continuous evaluation of the selection criteria of candidates for OLT suffering from primary cancer and FHF. The impact of recipient gender on mortality warrants further analysis but suggests that in the future more attention must be paid to the influence of this factor on the final outcome of OLT.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    BIT 32 (1992), S. 620-633 
    ISSN: 1572-9125
    Keywords: 65L20 (primary) ; 60H10,34F05 ; 65L07 ; 93E15 ; Numerical stability ; Runge-Kutta methods ; implicit methods ; stochastic differential equations ; stochastic stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Numerical stability of both explicit and implicit Runge-Kutta methods for solving ordinary differential equations with an additive noise term is studied. The concept of numerical stability of deterministic schemes is extended to the stochastic case, and a stochastic analogue of Dahlquist'sA-stability is proposed. It is shown that the discretization of the drift term alone controls theA-stability of the whole scheme. The quantitative effect of implicitness uponA-stability is also investigated, and stability regions are given for a family of implicit Runge-Kutta methods with optimal order of convergence.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1572-9125
    Keywords: 65L20 (primary) ; 60H10 ; 34F05 ; 65L07 ; 93E15 ; Numerical stability ; Runge-Kutta methods ; implicit methods ; stochastic differential equations ; stochastic stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A class ofimplicit Runge-Kutta schemes for stochastic differential equations affected bymultiplicative Gaussian white noise is shown to be optimal with respect to global order of convergence in quadratic mean. A test equation is proposed in order to investigate the stability of discretization methods for systems of this kind. Herestability is intended in a truly probabilistic sense, as opposed to the recently introduced extension of A-stability to the stochastic context, given for systems with additive noise. Stability regions for the optimal class are also given.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Acta applicandae mathematicae 14 (1989), S. 239-258 
    ISSN: 1572-9036
    Keywords: 82A30 ; 82A05 ; 93B05 ; 93E15 ; 60J65 ; Statistical physics ; invariant measure ; controllability ; stochastic stability ; Langevin equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract AnN particle system evolving in 3-space under the action of a friction force, an external potential and a fluctuating force is studied, using the Langevin equation. Necessary and sufficient conditions are given for both (a) the existence and (b) the Maxwell-Boltzmann character of an invariant measure. Both probabilistic and system theoretical tools play an important part in this study. In addition, the general results mentioned above are applied to the study of a system ofn oscillators coupled through velocity, with a first-neighbour-only type of interaction.
    Type of Medium: Electronic Resource
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