43 research outputs found

    Thoracoschisis: case report and review of the literature

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    Introduction: Thoracoschisis is a rare congenital malformation characterized by herniation of intraabdominal contents through a thoracic wall defect. There have been six previously reported cases. We describe our novel approach incorporating closure of the chest wall defect with temporary abdominal wall expansion utilizing a silastic pouch.Case report: A male child born at 29 weeks’ gestation was transferred to our institution for the management of a right anterior chest wall defect with herniation of intraabdominal contents through this defect. The patient was taken to the operating room for reduction of the herniated viscera from the right chest wall defect into the abdomen utilizing a spring-loaded silastic pouch to cover the abdominal viscera.Discussion: The cause of thoracoschisis is unclear. Multiple mechanisms have been proposed for the development of thoracoschisis, including amnionic rupture, vascular injury, and embryologic maldevelopment. In previously reported cases, a majority of patients had associated limb abnormalities. It has been proposed that this association between extremity agenesis/deformity  and chest wall defects is related to the limb–body wall complex. In addition, most of the cases reported also had an accompanying diaphragmatic defect, allowing the abdominal viscera to enter the chest and then herniate through the thoracic defect.Conclusion: Overall, thoracoschisis is a very rare congenital abnormality characterized by a chest wall defect with herniation of intra-abdominal organs through this defect. Previously, only six cases have been reported, most of which had an associated limb anomaly or diaphragmatic hernia.Keywords: gastroschisis, limb–body wall complex, thoracoabdominal schisis, thoracoschisi

    Simulation-based optimal Bayesian experimental design for nonlinear systems

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    The optimal selection of experimental conditions is essential to maximizing the value of data for inference and prediction, particularly in situations where experiments are time-consuming and expensive to conduct. We propose a general mathematical framework and an algorithmic approach for optimal experimental design with nonlinear simulation-based models; in particular, we focus on finding sets of experiments that provide the most information about targeted sets of parameters. Our framework employs a Bayesian statistical setting, which provides a foundation for inference from noisy, indirect, and incomplete data, and a natural mechanism for incorporating heterogeneous sources of information. An objective function is constructed from information theoretic measures, reflecting expected information gain from proposed combinations of experiments. Polynomial chaos approximations and a two-stage Monte Carlo sampling method are used to evaluate the expected information gain. Stochastic approximation algorithms are then used to make optimization feasible in computationally intensive and high-dimensional settings. These algorithms are demonstrated on model problems and on nonlinear parameter estimation problems arising in detailed combustion kinetics.Comment: Preprint 53 pages, 17 figures (54 small figures). v1 submitted to the Journal of Computational Physics on August 4, 2011; v2 submitted on August 12, 2012. v2 changes: (a) addition of Appendix B and Figure 17 to address the bias in the expected utility estimator; (b) minor language edits; v3 submitted on November 30, 2012. v3 changes: minor edit

    Global random optimization by simultaneous perturbation stochastic approximation

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    Abstract—We examine the theoretical and numerical global convergence properties of a certain “gradient free ” stochastic approximation algorithm called the “simultaneous perturbation stochastic approximation (SPSA)” that has performed well in complex optimization problems. We establish two theorems on the global convergence of SPSA, the first involving the wellknown method of injected noise. The second theorem establishes conditions under which “basic ” SPSA without injected noise can achieve convergence in probability to a global optimum, a result with important practical benefits. Index Terms—Global convergence, simulated annealing, simultaneous perturbation stochastic approximation (SPSA), stochastic approximation (SA), stochastic optimization. I

    Weak convergence and the exponential rate of concentration for posterior density functions

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    Consider a Bayesian analysis of a parameter vector, [theta], based on n i.i.d. multivariate measurements. We establish weak convergence of a sequence of parameter values that arises in applying the mean value theorem for integrals to the marginal densities of the sequence of observed vectors. We apply this weak convergence theorem to obtain a finite-sample result characterizing the rate of change of the shape of the posterior density as the number of observations increases.Bayesian exponential family rate of convergence posterior density

    Conditions for the insensitivity of the Bayesian posterior distribution to the choice of prior distribution

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    We present four theorems that establish conditions under which the Bayesian posterior distribution is insensitive to the choice of prior distribution. Both finite-sample and asymptotic results are included.Bayesian posterior robustness stable estimation weak consistency small-sample large-sample
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