A Mathematical Model for Tumor Volume Evaluation using Two-Dimensions

Journal Title: Journal of Applied Quantitative Methods - Year 2009, Vol 4, Issue 4

Abstract

Many recent papers present different ways to show the volume of a tumor from a few two-dimensional images. The three-dimensional fundamental shape of tumors is assumed to be a hemi-ellipsoid as presented in different studies. The three measurements were essential for tumor volume calculations: length, width, and height. Tumor volume measurements task is a very intensive routine is cancer research. Recent papers present how to reconstruct the 3-D tumor from a set of 2-D images, this in order to find the tumor volume. In this paper we report on a new approach to calculating the volumes based on measurements of two dimensions, length and width, after having identified a statistical constant that replaced the need of measuring the tumor height. Results: Our new method was examined on a subcutaneously implanted tumor placed on a mouse's thigh. The width, length, and height of tumors were measured, in four groups of BALB/c mice, using a digital caliper. The tumor dimensions were periodically measured for several weeks. It was shown that this new model can assist in tumor volume measurements using digital images, and in CT scan tumor size assessments.

Authors and Affiliations

John FELDMAN, Ron GOLDWASSER, Shlomo MARK, Jeremy SCHWARTZ, Itzhak ORION

Keywords

Related Articles

Structural Identification and Comparison of Intelligent Mobile Learning Environment

This paper proposes a methodology using graph theory, matrix algebra and permanent function to compare different architecture (structure) design of intelligent mobile learning environment. The current work deals with the...

A Multivariate Strategic Perspective for the Evaluation Of Customer Satisfaction in Great Distribution

The author proposes a strategy for the analysis of data from Customer Satisfaction (CS) in Great Distribution. The aim of this paper is to evaluate CS through a comparison of multivariate statistical methodologies. In t...

ADDENDA TO WEIBULL DISTRIBUTION IN MATLAB (DEFINITIONS, CODE SOURCES FOR FUNCTIONS, APPLICATIONS)

In this paper we make a new presentation of the Weibull distribution. We will make some add-ons for the Statistics Toolbox in MATLAB with our functions for the form with scale and displacement of the distribution. Finall...

A Mathematical Deterministic Approach in Modeling National Economic Evolution

In this work a regression model based on total least squares approach is presented. An application of the theoretical results in estimating the tendency of some countries economic evolution is given.

RATING SCALE OPTIMIZATION IN SURVEY RESEARCH: AN APPLICATION OF THE RASCH RATING SCALE MODEL

Linacre (1997) describes rating scale optimization as "fine-tuning" to try to squeeze the last ounce of performance out of a test [or survey]”. In the survey research arena, rating scale optimization often involves colla...

Download PDF file
  • EP ID EP129606
  • DOI -
  • Views 107
  • Downloads 0

How To Cite

John FELDMAN, Ron GOLDWASSER, Shlomo MARK, Jeremy SCHWARTZ, Itzhak ORION (2009). A Mathematical Model for Tumor Volume Evaluation using Two-Dimensions. Journal of Applied Quantitative Methods, 4(4), 455-462. https://europub.co.uk/articles/-A-129606