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...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2015-01-01
|
Series: | Journal of Oncology |
Online Access: | http://dx.doi.org/10.1155/2015/698760 |
id |
doaj-fa03868b70ef4a079bbe120aadf707b8 |
---|---|
record_format |
Article |
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 |
work_keys_str_mv |
AT georgeilambrou fractaldimensionsofinvitrotumorcellproliferation AT apostoloszaravinos fractaldimensionsofinvitrotumorcellproliferation |
_version_ |
1725542405372903424 |