Open AccessAge Dependent Analysis of Colon Cancer Tumours Using Mathematical and Statistical Modelling
Author(s) -
Vidya Bhargavi Machavaram,
Sireesha Veeramachaneni
Publication year - 2021
Publication title -
international journal of mathematical, engineering and management sciences
Language(s) - English
Resource type - Journals
ISSN - 2455-7749
DOI - 10.33889/ijmems.2021.6.3.056
Subject(s) - quantile , quantile regression , colorectal cancer , statistics , regression analysis , mathematics , cancer , regression , function (biology) , medicine , oncology , biology , evolutionary biology
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.