Age Dependent Analysis of Colon Cancer Tumours Using Mathematical and Statistical Modelling

Vidya Bhargavi Machavaram,Sireesha Veeramachaneni

doi:10.33889/ijmems.2021.6.3.056

Vidya Bhargavi Machavaram, Sireesha Veeramachaneni

Open Access

https://doi.org/10.33889/ijmems.2021.6.3.056

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Abstract

Colon cancer is the third most commonly diagnosed cancer and the second leading cause of cancer death in men and women combined in the United States. In this work, we performed mathematical and statistical modelling of Tumour sizes as a function of age for four different races. Mathematically, based on the behaviour of the data for each race, we partitioned ages of subjects into several intervals. The mathematical function that characterizes the size of the Tumour as a function of age was determined for each age interval. Statistically, using quantile regression, we designed models that are more robust at specific quantiles using Tumour size and age as dependent and predictor variables.

Highlights

IntroductionCancer is a sickness characterized through the unchecked division and survival of abnormal cells
Cancer is a sickness characterized through the unchecked division and survival of abnormal cells. When this form of abnormal boom occurs within the colon or rectum, it is known as colorectal cancer (CRC)
We modelled line plots using ordinary least square regression and quantile regression equations for Tumour size as dependent variable with age and race as independent variables

Summary

Introduction

Cancer is a sickness characterized through the unchecked division and survival of abnormal cells. When this form of abnormal boom occurs within the colon or rectum, it is known as colorectal cancer (CRC). Combination of colon and rectum is known as large intestine or large bowel. The transverse colon is so known as because it travels the body from right to left side. The ascending and transverse colon is collectively referred to as the proximal colon. The sigmoid colon, which is known as for its “S” form, is the very last part of the colon and joins the rectum. The descending and sigmoid colon are collectively known as the distal colon (Jacobs et al, 2018)

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