IJTEEE

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International Journal of Technology Enhancements and Emerging Engineering Research (ISSN 2347-4289)
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IJTEEE >> Volume 3 - Issue 1, January 2015 Edition



International Journal of Technology Enhancements and Emerging Engineering Research  
International Journal of Technology Enhancements and Emerging Engineering Research

Website: http://www.ijteee.org

ISSN 2347-4289



Study Of Evolution Of The Incidence And Cancer Mortality Using The Markov Chain

[Full Text]

 

AUTHOR(S)

Lalla Hanae Alaoui, Dr. Aziz Arbai

 

KEYWORDS

Keywords: Markov chains; breast cancer; Epidemiology

 

ABSTRACT

ABSTRACT: Markov chains are a method among methods we can use to describe the dynamics of a disease in its different stages. While the theory and practice of modeling of Markov chains Epidemiology is not new, rather the basic application of this powerful tool can be used by non-mathematicians as well. In this work, we present the above theory by announcing the assumptions and conditions of use of Markov chains in the study of diseases and specifically breast cancer, which could facilitate the formulation of hypotheses, and understanding the evolution of the disease in a population. We focus on absorbing Markov chains in discrete time, and we are going step by step to calculate the probability of infection with breast cancer for an individual, the duration of each state and the life expectancy for infected people. These quantities are useful for characterizing the dynamics of a disease and can help researchers to explore key aspects of the evolution of the disease into a population.

 

REFERENCES

Ma recherche a été limitée aux travaux menés début Janvier 2014, il s’agissait d’identifier des travaux épidémiologiques sur l’évolution du cancer dans une population, et plus précisément sur les thèmes suivants:
 Application des chaines de Markov dans l’étude de l’évolution d’une maladie.
 La différence entre la modélisation déterministe et stochastique.
 Cancer du sein.

La recherche a été limitée aux travaux menés en France, dans le reste de l’Europe et en Amérique du Nord (USA, Canada), publiés en langue anglaise ou française.
Parmi ces travaux:
 Classification TNM de l'UICC, 4ème édition 1988 (UNIONINTERNATIO1988)
 The statistician (2003): Multistate Markov models for disease progression with classification error.
 Methods in ecology & evolution (2010): A primer on the application of Markov chains to the study of wildlife disease dynamics
 Department of internal medicine, Division of Biostatistics, Virginia (2011): The dynamics of disease progression in Sepsis: Markov Modeling describing the natural history and the likely impact of effective Antisepsis Agents
 Université Joseph Fourier de Grenoble (2011-2012) Le sein: de l’embryologie à l’allaitement.