Computational Modelling of Possible Temporal Growth Curves of Pre-Metastic Primary Tumours by Linear Induction

Kuldeep Kumar, Sukanto Bhattacharya

Research output: Contribution to journalArticleResearchpeer-review

Abstract

In this paper we aim to devise a simple pseudo-bootstrapping
algorithm from which we can form an educated opinion based
on limited clinically observed data, regarding whether a benign
tumour can subsequently become malignant. The strength of
our approach lies in its simplicity—our model does not involve
any physiological variables but is entirely based on time series
observations of growth in tumour volume from the point of first
detection to the onset of metastases. The basic premise under¬
lying our methodology is that a primary tumour which initially
starts off as benign hyperplasia cannot increase in volume
beyond some critical limit without showing metastasis. We
propose a practicable statistical method to extrapolate any such
critical limit to primary tumour volume.
Original languageEnglish
Pages (from-to)15-22
Number of pages8
JournalJournal of Combinatorics, Information and System Sciences
Volume27
Issue number1-4
Publication statusPublished - 2002

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Growth Curve
Computational Modeling
Tumor
Proof by induction
Metastasis
Extrapolate
Statistical method
Methodology
Model

Cite this

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abstract = "In this paper we aim to devise a simple pseudo-bootstrappingalgorithm from which we can form an educated opinion basedon limited clinically observed data, regarding whether a benigntumour can subsequently become malignant. The strength ofour approach lies in its simplicity—our model does not involveany physiological variables but is entirely based on time seriesobservations of growth in tumour volume from the point of firstdetection to the onset of metastases. The basic premise under¬lying our methodology is that a primary tumour which initiallystarts off as benign hyperplasia cannot increase in volumebeyond some critical limit without showing metastasis. Wepropose a practicable statistical method to extrapolate any suchcritical limit to primary tumour volume.",
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Computational Modelling of Possible Temporal Growth Curves of Pre-Metastic Primary Tumours by Linear Induction. / Kumar, Kuldeep; Bhattacharya, Sukanto.

In: Journal of Combinatorics, Information and System Sciences, Vol. 27, No. 1-4, 2002, p. 15-22.

Research output: Contribution to journalArticleResearchpeer-review

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