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

Solution of Cubic Equations with Combination of Continued Fractions

Solution of cubic and higher degree equations has always engaged attention of mathematicians from ancient times. Different approaches have been adopted to solve cubic equation; some transformed this equation to depressed...

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...

A New Type of Regular on Semiring

In this paper, a new type of regular semiring is defined by studying Von Neumann’s regular, completely regular on Semi ring. Many procedures have been established during the past few decades yet there is need of procedur...

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...

Vibration of Non-Homogeneous Visco-Elastic Rectangular Plate Having Linearly Varying Thickness in Both Directions with Thermal Gradient Effect

In the modern time, there is extensive use of the plates of variable thickness in the field of engineering such as jet engines designing, space crafts, gas turbines, nuclear power projects etc. The effect of variation of...

Download PDF file
  • EP ID EP272986
  • DOI -
  • Views 135
  • 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://www.europub.co.uk/articles/-A-272986