Analysis of Chronic Diseases Progression Using Stochastic Modeling

Released on by Iman Mohammed Attia Abd-Elkhalik
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  • Analysis of Chronic Diseases Progression Using Stochastic Modeling Book Detail

  • Author : Iman Mohammed Attia Abd-Elkhalik
  • Release Date : 2021-09-30
  • Publisher : Iman Mohammed Attia Abd-Elkhalik
  • Genre : Biography & Autobiography
  • Pages : 219
  • ISBN 13 : 9779098070
  • File Size : 86,86 MB
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Analysis of Chronic Diseases Progression Using Stochastic Modeling by Iman Mohammed Attia Abd-Elkhalik PDF Summary

Book Description: This is a book that handles the non-alcoholic fatty liver disease from the bio-statistical point of view . The statistical method used is Continuous Time Markov Chains ( CTMCs) utilizing the MLE and quasi-Newton method to estimates the transition rate matrix , once obtained , the transition probability matrix can be estimated by exponentiation of this rate matrix. The transition probability matrix can also be obtained by solving forward Kolmogorov differential equations which yields more stable solution than the matrix exponentiation. The rate probability matrix can then be used to estimate the number of patients in each stage of the disease process as well as the life expectancy in each stage. These statistical indices are of great importance for the health policy makers and medical insurance to allocate the resources for investigating and treating patients in each stage. These statistical indexes can also be used in longitudinal studies to follow up the rate of progression of each stage in response to medical treatment conducted by pharmaceutical companies. The (CTMCs) handle the disease in the general simplest form which is health-disease-death Multi-states model , in addition to the expanded model form with 9 states that represent the evolution of the disease over time. There is also a chapter that relates the high risk covariates such as type 2 diabetes, obesity, hypercholesterolemia, and hypertension, to the rate of transition among states .

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