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A deconvolution applied to disturbed data often gives poor results, due to fundamental difficulties associated with ill-posed problems. Many numerical and theoretical methods have been invented to circumvent this phenomenon. Their performance varies, depending on the given problem and data. The main aim of this paper is to provide a decision rule for(More)
The first complete running time analysis of a stochastic divide and conquer algorithm was given for Quicksort, a sorting algorithm invented 1961 by Hoare. We analyse here the variant Random Median Quicksort. The analysis includes the expectation, the asymptotic distribution, the moments and exponential moments. The asymptotic distribution is characterized(More)
A chi(2) test is proposed that provides a means of discriminating between different Markov models used for the description of a measured (patch clamp) time series. It is based on a test statistic constructed from the measured and the predicted number of transitions between the current levels. With a certain probability, this test statistic is below a(More)
Backextrapolation is an empirical method to calculate the central volume of distribution (for example the blood volume). It is based on the compartment model, which says that after an injection the substance is distributed instantaneously in the central volume with no time delay. The occurrence of recirculation is not taken into account. The change of(More)
The measured concentration time curve of an injected substance is often used as a basis for calculating the distribution volume. For the first time, the present paper describes a generally applicable formula for calculating the asymptote of a concentration time curve in medical applications. With a knowledge of this formula, previously unexplained phenomena(More)
This paper describes the investigation of a new mathematical method of calculating blood volume. The new method determines the blood volume by calculating the product of the mean circulation transit time. The mean transit time is calculated from the body transport function. To examine the accuracy of the LOGNORMAL-NLSQ technique, 45 concentration time(More)
This paper describes a dynamic blood volume determination which is faster and more accurate than the classic method. The new method determines blood volume by means of the product of the mean transit time of the circulation and the cardiac output. The mean transit time is calculated from the body transport function. To examine the precision of the dynamic(More)
The aim of this study was to develop a widely applicable model for circulatory indicator dispersion which could describe the pharmacokinetics of early drug distribution. The model assumes that the substance is injected into the right atrium and measured in the aorta. The dilution curve results from the dispersion and recirculation of the indicator in the(More)
Hereby we present a widely applicable computational method for the description of recirculation and distribution phenomena occurring immediately after intravenous injection of a substance. The intravascular concentration-time course, r, is described as r = c0 + g * r, where the asterisk denotes the convolution operation, c0 is the concentration-time course(More)