Simulating medical decision trees with random variable parameters

1992 ◽  
Author(s):  
Robert S. Dittus ◽  
Robert W. Klein
Keyword(s):  
Decision Trees ◽  
Random Variable ◽  
Medical Decision ◽  
Variable Parameters

Generation of Correlated Logistic-Normal Random Variates for Medical Decision Trees

1998 ◽  
Vol 37 (03) ◽  
pp. 235-238 ◽  
Author(s):  
M. El-Taha ◽  
D. E. Clark
Keyword(s):  
Monte Carlo ◽  
Decision Trees ◽  
Computer Algebra ◽  
Taylor Series ◽  
Computer Algebra System ◽  
Random Variable ◽  
Monte Carlo Analysis ◽  
Normal Random Variable ◽  
Medical Decision ◽  
Theoretical Results

AbstractA Logistic-Normal random variable (Y) is obtained from a Normal random variable (X) by the relation Y = (ex)/(1 + ex). In Monte-Carlo analysis of decision trees, Logistic-Normal random variates may be used to model the branching probabilities. In some cases, the probabilities to be modeled may not be independent, and a method for generating correlated Logistic-Normal random variates would be useful. A technique for generating correlated Normal random variates has been previously described. Using Taylor Series approximations and the algebraic definitions of variance and covariance, we describe methods for estimating the means, variances, and covariances of Normal random variates which, after translation using the above formula, will result in Logistic-Normal random variates having approximately the desired means, variances, and covariances. Multiple simulations of the method using the Mathematica computer algebra system show satisfactory agreement with the theoretical results.

Combat Surgery: Medical Decision Trees for Treatment of Naval Combat Casualties

1991 ◽  
Author(s):  
Jerry M. Linenger ◽  
William B. Long ◽  
William J. Sacco
Keyword(s):  
Decision Trees ◽  
Medical Decision ◽  
Combat Casualties

scholarly journals Probabilistic Study of the Effect of Anti-Epileptic Drugs Under Uncertainty: Cost-Effectiveness Analysis

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1120
Author(s):  
Isabel Barrachina-Martínez ◽  
Ana Navarro-Quiles ◽  
Marta Ramos ◽  
José-Vicente Romero ◽  
María-Dolores Roselló ◽  
...  
Keyword(s):  
Cost Effectiveness ◽  
Incremental Cost ◽  
Epileptic Seizures ◽  
Random Variable ◽  
Incremental Cost Effectiveness Ratio ◽  
Medical Decision ◽  
Third Generation ◽  
Cost Effectiveness Ratio ◽  
Probabilistic Study

Epilepsy is one of the most ancient diseases. Despite the efforts of scientists and doctors to improve the quality of live of epileptic patients, the disease is still a mystery in many senses. Anti-epileptic drugs are fundamental to reduce epileptic seizures but it have some adverse effects, which influence the quality of life outcomes of the patients. In this paper, we study the effectiveness of anti-epileptic drugs taking into account the inherent uncertainty. We establish a model, which allows to represent the natural history of epilepsy, using Markov chains. After randomizing the mathematical model, we compute the first probability density function of the solution stochastic process applying the random variable transformation technique. We also take advantage of this method to determine the distribution of some key quantities in medical decision, such as the time until a certain proportion of the population remains in each state and the incremental cost-effectiveness ratio. The study is completed computing all these quantities using data available in the literature. In addition, regarding the incremental cost-effectiveness ratio, different third generation anti-epileptic treatments are compared with the Brivaracetam, a new third generation anti-epileptic drug.

The Reliability Sensitivity Analysis of Composite Beam Cable-Stayed Bridge during Construction Stage

2013 ◽  
Vol 438-439 ◽  
pp. 901-907
Author(s):  
Bu Yu Jia ◽  
Xiao Lin Yu ◽  
Quan Sheng Yan ◽  
Zhou Chen
Keyword(s):  
Sensitivity Analysis ◽  
Composite Beam ◽  
Structural Response ◽  
Random Variable ◽  
Variable Parameters ◽  
Performance Function ◽  
Cable Stayed Bridge ◽  
Reliability Sensitivity ◽  
Reliability Sensitivity Analysis ◽  
Interface Slip

A 10DOF composite beam element was developed, which had taken the interface slip effect and geometric nonlinearity into consideration. The method to obtain structural response gradients of composite beam was analyzed, meanwhile the reliability index was achieved by using the FORM method and on this basis, and the sensitivity of random variable parameters could be finished. At last the control of target elevation was took as state performance function, the sensitivity analysis of random variable parameters which might have an effect on the elevation control reliability was effectively completed, and some useful conclusions which were be beneficial to construction control of composite beam cable-stayed bridge obtained.

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