Fractal Dimensions of In Vitro Tumor Cell Proliferation

Biological systems are characterized by their potential for dynamic adaptation. One of the challenges for systems biology approaches is their contribution towards the understanding of the dynamics of a growing cell population. Conceptualizing these dynamics in tumor models could help us understand t...

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Main Authors: George I. Lambrou, Apostolos Zaravinos
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Oncology
Online Access:http://dx.doi.org/10.1155/2015/698760
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spelling doaj-fa03868b70ef4a079bbe120aadf707b82020-11-24T23:30:11ZengHindawi LimitedJournal of Oncology1687-84501687-84692015-01-01201510.1155/2015/698760698760Fractal Dimensions of In Vitro Tumor Cell ProliferationGeorge I. Lambrou0Apostolos Zaravinos11st Department of Pediatrics, University of Athens, Choremeio Research Laboratory, Thivon & Levadeias, 11527 Athens, GreeceDivision of Clinical Immunology and Transfusion Medicine, Department of Laboratory Medicine, Karolinska Institute, 171 77 Stockholm, SwedenBiological systems are characterized by their potential for dynamic adaptation. One of the challenges for systems biology approaches is their contribution towards the understanding of the dynamics of a growing cell population. Conceptualizing these dynamics in tumor models could help us understand the steps leading to the initiation of the disease and its progression. In vitro models are useful in answering this question by providing information over the spatiotemporal nature of such dynamics. In the present work, we used physical quantities such as growth rate, velocity, and acceleration for the cellular proliferation and identified the fractal structures in tumor cell proliferation dynamics. We provide evidence that the rate of cellular proliferation is of nonlinear nature and exhibits oscillatory behavior. We also calculated the fractal dimensions of our cellular system. Our results show that the temporal transitions from one state to the other also follow nonlinear dynamics. Furthermore, we calculated self-similarity in cellular proliferation, providing the basis for further investigation in this topic. Such systems biology approaches are very useful in understanding the nature of cellular proliferation and growth. From a clinical point of view, our results may be applicable not only to primary tumors but also to tumor metastases.http://dx.doi.org/10.1155/2015/698760
collection DOAJ
language English
format Article
sources DOAJ
author George I. Lambrou
Apostolos Zaravinos
spellingShingle George I. Lambrou
Apostolos Zaravinos
Fractal Dimensions of In Vitro Tumor Cell Proliferation
Journal of Oncology
author_facet George I. Lambrou
Apostolos Zaravinos
author_sort George I. Lambrou
title Fractal Dimensions of In Vitro Tumor Cell Proliferation
title_short Fractal Dimensions of In Vitro Tumor Cell Proliferation
title_full Fractal Dimensions of In Vitro Tumor Cell Proliferation
title_fullStr Fractal Dimensions of In Vitro Tumor Cell Proliferation
title_full_unstemmed Fractal Dimensions of In Vitro Tumor Cell Proliferation
title_sort fractal dimensions of in vitro tumor cell proliferation
publisher Hindawi Limited
series Journal of Oncology
issn 1687-8450
1687-8469
publishDate 2015-01-01
description Biological systems are characterized by their potential for dynamic adaptation. One of the challenges for systems biology approaches is their contribution towards the understanding of the dynamics of a growing cell population. Conceptualizing these dynamics in tumor models could help us understand the steps leading to the initiation of the disease and its progression. In vitro models are useful in answering this question by providing information over the spatiotemporal nature of such dynamics. In the present work, we used physical quantities such as growth rate, velocity, and acceleration for the cellular proliferation and identified the fractal structures in tumor cell proliferation dynamics. We provide evidence that the rate of cellular proliferation is of nonlinear nature and exhibits oscillatory behavior. We also calculated the fractal dimensions of our cellular system. Our results show that the temporal transitions from one state to the other also follow nonlinear dynamics. Furthermore, we calculated self-similarity in cellular proliferation, providing the basis for further investigation in this topic. Such systems biology approaches are very useful in understanding the nature of cellular proliferation and growth. From a clinical point of view, our results may be applicable not only to primary tumors but also to tumor metastases.
url http://dx.doi.org/10.1155/2015/698760
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AT apostoloszaravinos fractaldimensionsofinvitrotumorcellproliferation
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