Stochastic and Optimization Models for Two Stage Cancer Studies with Homogeneous Processes

Abstract

In this paper, stochastic model for carcinogenesis under the assumption of homogeneous birth-and-death processes using ordinary linear differential equations has been considered [1]. The statistical measures based on moments are derived from the developed model. Further, stochastic optimization programming problem is formulated to find the decision parameter involved in cancer growth/ loss. This study can evaluate the status of cancer levels over a specified period. Medical practitioners can make use of this study for assessing the status levels of disease controlling parameters and for optimal drug administration to cancer patients.

Authors and Affiliations

Jayabharathiraj Jayabalan

Keywords

Related Articles

Coaching Approach for Teaching and Learning - A Book Review

Costa and Garmston (2002) opined that cognitive coaching is defined as a non-judgmental, developmental, reflective model derived from a blend of the psychological orientations of cognitive theorists and the interpersonal...

Additive Weibull Log Logistic Distribution: Properties & Application

We introduce a new lifetime distribution with six parameters. This distribution is called the additive Weibull log logistic (AWLL) distribution based on the additive Weibull-generated family of distributions and the log...

A Study on Change and Instability of Groundnut Crop in India

Groundnut is the most popular oilseed crop and one of the major sources of edible oil in India. Around one-fourth of country’s total edible oil is produced from groundnut. In this paper the researcher is mainly focused o...

New Log-Half-Cauchy distribution with Properties & Application to Lifetime Data

In this paper a new distribution based on Cauchy distribution called new log half-Cauchy distribution is proposed. This model is flexible enough to model different types of lifetime data having different forms of failure...

Almost Unbiased Ratio Cum Product Estimator for Finite Population Mean with Known Coefficient of Skewness

In sample survey, the auxiliary information is used for both selections as well as estimation stages to improve the efficiency of estimators. Several estimators like linear regression estimator,ratio estimator, product e...

Download PDF file
  • EP ID EP272986
  • DOI -
  • Views 113
  • Downloads 0

How To Cite

Jayabharathiraj Jayabalan (2017). Stochastic and Optimization Models for Two Stage Cancer Studies with Homogeneous Processes. Journal of Advanced Research in Applied Mathematics and Statistics, 2(3), 1-13. https://europub.co.uk/articles/-A-272986