International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

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

Vidya Bhargavi Machavaram
GITAM Institute of Science, GITAM (deemed to be) University, Visakhapatnam, Andhra Pradesh, India.

Sireesha Veeramachaneni
GITAM Institute of Science, GITAM (deemed to be) University, Visakhapatnam, Andhra Pradesh, India.

DOI https://doi.org/10.33889/IJMEMS.2021.6.3.056

Received on September 18, 2020
  ;
Accepted on March 07, 2021

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.

Keywords- Colon cancer, Line plots, Quantile regression, Statistical modelling, Mathematical modelling.

Citation

Machavaram, V. B., & Veeramachaneni, S. (2021). Age Dependent Analysis of Colon Cancer Tumours Using Mathematical and Statistical Modelling. International Journal of Mathematical, Engineering and Management Sciences, 6(3), 944-960. https://doi.org/10.33889/IJMEMS.2021.6.3.056.

Conflict of Interest

The authors confirm that there is no potential conflict of interest to publish the paper in the journal.

Acknowledgements

We would like to thank Stanley College of Engineering-Hyderabad, GITAM (deemed to be) University-Visakhapatnam, our families and colleagues for their unconditional support in completing this research article.

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