The Experts below are selected from a list of 300 Experts worldwide ranked by ideXlab platform
Alexander Rodig - One of the best experts on this subject based on the ideXlab platform.
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time of death dependent criteria in vitreous humor accuracy of estimating the time since death
Forensic Science International, 2006Co-Authors: Burkhard Madea, Alexander RodigAbstract:Abstract Since more than 40 years reports on the rise of potassium concentration [K + ] in vitreous humor have been published with different statements concerning the accuracy of death time estimation. In the last years several statistical approaches for a more accurate estimation of the time since death have been reported. While in most investigations the PMI has been used as the Independent and [K + ] as the dependent Variable in linear regression analysis between PMI and [K + ], recently it has been suggested to use [K + ] as the Independent Variable for regression analysis. Changing the Variables would lead to a higher accuracy of death time estimation. This has also been recommended for regression analysis between hypoxanthine concentration [Hx] and time since death. This hypothesis has been checked on Independent cases with potassium and hypoxanthine in vitreous humor. Linear regression with [K + ] or [Hx] as Independent Variable has revealed a slightly more accurate death time estimation compared to a linear regression with PMI as Independent Variable. Thus, e.g. the accuracy could have been improved from ±25.96 to ± 23.27 h by using [K + ] as Independent Variable. Another statistical approach has re-evaluated six large studies on the rise of vitreous [K + ] using a local regression analysis (Loess procedure). Based on this re-evaluation an accuracy of death time estimation has been recommended (95% limits of confidence of ±1 h in the early PMI and ±10 h, 110 h postmortem) which has surpassed even optimistic results of earlier investigations. This recommended accuracy of death time estimation has been checked on a random sample of 492 cases. Only 153 cases have been within the predicted postmortem interval, 339 lay outside with a systematic overestimation of the time since death.
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Time of death dependent criteria in vitreous humor—Accuracy of estimating the time since death
Forensic Science International, 2006Co-Authors: Burkhard Madea, Alexander RodigAbstract:Abstract Since more than 40 years reports on the rise of potassium concentration [K + ] in vitreous humor have been published with different statements concerning the accuracy of death time estimation. In the last years several statistical approaches for a more accurate estimation of the time since death have been reported. While in most investigations the PMI has been used as the Independent and [K + ] as the dependent Variable in linear regression analysis between PMI and [K + ], recently it has been suggested to use [K + ] as the Independent Variable for regression analysis. Changing the Variables would lead to a higher accuracy of death time estimation. This has also been recommended for regression analysis between hypoxanthine concentration [Hx] and time since death. This hypothesis has been checked on Independent cases with potassium and hypoxanthine in vitreous humor. Linear regression with [K + ] or [Hx] as Independent Variable has revealed a slightly more accurate death time estimation compared to a linear regression with PMI as Independent Variable. Thus, e.g. the accuracy could have been improved from ±25.96 to ± 23.27 h by using [K + ] as Independent Variable. Another statistical approach has re-evaluated six large studies on the rise of vitreous [K + ] using a local regression analysis (Loess procedure). Based on this re-evaluation an accuracy of death time estimation has been recommended (95% limits of confidence of ±1 h in the early PMI and ±10 h, 110 h postmortem) which has surpassed even optimistic results of earlier investigations. This recommended accuracy of death time estimation has been checked on a random sample of 492 cases. Only 153 cases have been within the predicted postmortem interval, 339 lay outside with a systematic overestimation of the time since death.
Feng Hua Qi - One of the best experts on this subject based on the ideXlab platform.
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analytical study on a two dimensional korteweg de vries model with bilinear representation backlund transformation and soliton solutions
Applied Mathematical Modelling, 2015Co-Authors: Xing Lu, Feng Hua QiAbstract:Abstract With symbolic computation, Bell-polynomial scheme and bilinear method are applied to a two-dimensional Korteweg–de Vries (KdV) model, which is firstly proposed with Lax pair generating technique. Bell-polynomial expression with one auxiliary Independent Variable is derived and transformed into bilinear form. According to the coupled two-field conditions between the primary and replica fields, Bell-polynomial-typed Backlund transformations (BTs) are constructed and converted into the bilinear ones. Finally, soliton solutions of the two-dimensional KdV model are obtained (via solving the bilinear representation and BT, respectively) and compared. Such associated integrable properties as bilinear representation, BT (especially auxiliary-Independent-Variable-involved Bell-polynomial-typed ones constructed in this paper) and soliton solutions (especially the multi-soliton ones) may be useful for further study on other two-dimensional KdV and KdV-typed models.
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bell polynomial construction of backlund transformations with auxiliary Independent Variable for some soliton equations with one tau function
Nonlinear Analysis-real World Applications, 2012Co-Authors: Xing Lu, Bo Tian, Feng Hua QiAbstract:Abstract The Korteweg–de Vries (KdV)-type models are of significance in describing many physical situations in fluid flows (particularly for surface and internal waves), plasma physics, and solid state physics. In fluid dynamics, for example, the shallow water wave equation is utilized as a mathematical description of regular and generalized solitary waves in shallow water. Further, higher-order dispersive (e.g., the Lax fifth-order KdV equation) and higher-dimensional [e.g., the (2+1)- and (3+1)-dimensional breaking soliton equations] generalized nonlinear models are useful in analyzing and obtaining modulation theory, existence and stability of solitary waves, bores, and shocks, as well as other integrable properties. With symbolic computation, Bell-polynomial-typed Backlund transformations (BTs) are constructed for some single-field bilinearizable nonlinear evolution equations including the shallow water wave equation, Lax fifth-order KdV equation, and (2+1)- and (3+1)-dimensional breaking soliton equations. Bell-polynomial expressions are derived, which can be cast into the bilinear equations with one Tau-function. Key point lies in the introduction of certain auxiliary Independent Variable in the Bell-polynomial expression. With one auxiliary Independent Variable, the Bell-polynomial-typed BTs are then constructed according to the coupled two-field conditions between the primary and replica fields with both the fields satisfying the Bell-polynomial-expression equations. Auxiliary-Independent-Variable-involved Bell-polynomial-typed BTs are changed into their bilinear forms. Aforementioned equations turn out to be integrable in the sense of possessing the Bell-polynomial-typed BTs.
Bruce J Rounsaville - One of the best experts on this subject based on the ideXlab platform.
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implementing treatment and protecting the validity of the Independent Variable in treatment matching studies
Journal of Studies on Alcohol and Drugs, 1994Co-Authors: Kathleen M Carroll, Ronald M Kadden, Dennis M Donovan, Allen Zweben, Bruce J RounsavilleAbstract:Treatment matching research is predicated on heterogeneity among subjects and their differential response to treatments. The sine qua non of a treatment matching study is the integrity of the treatment Variable, since detection of client-treatment interactions requires delivery of treatments that are highly specific, consistent and distinct. Matching research thus presents particular challenges in treatment implementation, as greater heterogeneity in subjects may generate a broader array of problems than study treatments are designed to address, leading to several potential threats to treatment integrity. Moreover, as practiced outside of research settings, treatments for alcoholism are marked by ideological heterogeneity and a lack of purity across approaches. In this article we describe the strategies used in Project MATCH to protect treatment integrity while treating a large and heterogeneous sample of alcoholics in a number of geographically distant sites. These include: strategies for treating a vari...
Burkhard Madea - One of the best experts on this subject based on the ideXlab platform.
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time of death dependent criteria in vitreous humor accuracy of estimating the time since death
Forensic Science International, 2006Co-Authors: Burkhard Madea, Alexander RodigAbstract:Abstract Since more than 40 years reports on the rise of potassium concentration [K + ] in vitreous humor have been published with different statements concerning the accuracy of death time estimation. In the last years several statistical approaches for a more accurate estimation of the time since death have been reported. While in most investigations the PMI has been used as the Independent and [K + ] as the dependent Variable in linear regression analysis between PMI and [K + ], recently it has been suggested to use [K + ] as the Independent Variable for regression analysis. Changing the Variables would lead to a higher accuracy of death time estimation. This has also been recommended for regression analysis between hypoxanthine concentration [Hx] and time since death. This hypothesis has been checked on Independent cases with potassium and hypoxanthine in vitreous humor. Linear regression with [K + ] or [Hx] as Independent Variable has revealed a slightly more accurate death time estimation compared to a linear regression with PMI as Independent Variable. Thus, e.g. the accuracy could have been improved from ±25.96 to ± 23.27 h by using [K + ] as Independent Variable. Another statistical approach has re-evaluated six large studies on the rise of vitreous [K + ] using a local regression analysis (Loess procedure). Based on this re-evaluation an accuracy of death time estimation has been recommended (95% limits of confidence of ±1 h in the early PMI and ±10 h, 110 h postmortem) which has surpassed even optimistic results of earlier investigations. This recommended accuracy of death time estimation has been checked on a random sample of 492 cases. Only 153 cases have been within the predicted postmortem interval, 339 lay outside with a systematic overestimation of the time since death.
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Time of death dependent criteria in vitreous humor—Accuracy of estimating the time since death
Forensic Science International, 2006Co-Authors: Burkhard Madea, Alexander RodigAbstract:Abstract Since more than 40 years reports on the rise of potassium concentration [K + ] in vitreous humor have been published with different statements concerning the accuracy of death time estimation. In the last years several statistical approaches for a more accurate estimation of the time since death have been reported. While in most investigations the PMI has been used as the Independent and [K + ] as the dependent Variable in linear regression analysis between PMI and [K + ], recently it has been suggested to use [K + ] as the Independent Variable for regression analysis. Changing the Variables would lead to a higher accuracy of death time estimation. This has also been recommended for regression analysis between hypoxanthine concentration [Hx] and time since death. This hypothesis has been checked on Independent cases with potassium and hypoxanthine in vitreous humor. Linear regression with [K + ] or [Hx] as Independent Variable has revealed a slightly more accurate death time estimation compared to a linear regression with PMI as Independent Variable. Thus, e.g. the accuracy could have been improved from ±25.96 to ± 23.27 h by using [K + ] as Independent Variable. Another statistical approach has re-evaluated six large studies on the rise of vitreous [K + ] using a local regression analysis (Loess procedure). Based on this re-evaluation an accuracy of death time estimation has been recommended (95% limits of confidence of ±1 h in the early PMI and ±10 h, 110 h postmortem) which has surpassed even optimistic results of earlier investigations. This recommended accuracy of death time estimation has been checked on a random sample of 492 cases. Only 153 cases have been within the predicted postmortem interval, 339 lay outside with a systematic overestimation of the time since death.
Xing Lu - One of the best experts on this subject based on the ideXlab platform.
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analytical study on a two dimensional korteweg de vries model with bilinear representation backlund transformation and soliton solutions
Applied Mathematical Modelling, 2015Co-Authors: Xing Lu, Feng Hua QiAbstract:Abstract With symbolic computation, Bell-polynomial scheme and bilinear method are applied to a two-dimensional Korteweg–de Vries (KdV) model, which is firstly proposed with Lax pair generating technique. Bell-polynomial expression with one auxiliary Independent Variable is derived and transformed into bilinear form. According to the coupled two-field conditions between the primary and replica fields, Bell-polynomial-typed Backlund transformations (BTs) are constructed and converted into the bilinear ones. Finally, soliton solutions of the two-dimensional KdV model are obtained (via solving the bilinear representation and BT, respectively) and compared. Such associated integrable properties as bilinear representation, BT (especially auxiliary-Independent-Variable-involved Bell-polynomial-typed ones constructed in this paper) and soliton solutions (especially the multi-soliton ones) may be useful for further study on other two-dimensional KdV and KdV-typed models.
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bell polynomial construction of backlund transformations with auxiliary Independent Variable for some soliton equations with one tau function
Nonlinear Analysis-real World Applications, 2012Co-Authors: Xing Lu, Bo Tian, Feng Hua QiAbstract:Abstract The Korteweg–de Vries (KdV)-type models are of significance in describing many physical situations in fluid flows (particularly for surface and internal waves), plasma physics, and solid state physics. In fluid dynamics, for example, the shallow water wave equation is utilized as a mathematical description of regular and generalized solitary waves in shallow water. Further, higher-order dispersive (e.g., the Lax fifth-order KdV equation) and higher-dimensional [e.g., the (2+1)- and (3+1)-dimensional breaking soliton equations] generalized nonlinear models are useful in analyzing and obtaining modulation theory, existence and stability of solitary waves, bores, and shocks, as well as other integrable properties. With symbolic computation, Bell-polynomial-typed Backlund transformations (BTs) are constructed for some single-field bilinearizable nonlinear evolution equations including the shallow water wave equation, Lax fifth-order KdV equation, and (2+1)- and (3+1)-dimensional breaking soliton equations. Bell-polynomial expressions are derived, which can be cast into the bilinear equations with one Tau-function. Key point lies in the introduction of certain auxiliary Independent Variable in the Bell-polynomial expression. With one auxiliary Independent Variable, the Bell-polynomial-typed BTs are then constructed according to the coupled two-field conditions between the primary and replica fields with both the fields satisfying the Bell-polynomial-expression equations. Auxiliary-Independent-Variable-involved Bell-polynomial-typed BTs are changed into their bilinear forms. Aforementioned equations turn out to be integrable in the sense of possessing the Bell-polynomial-typed BTs.
