Studying the growth kinetics of untreated clinical tumors by using an advanced discrete simulation model

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dc.contributor.author Kolokotroni, EA en
dc.contributor.author Dionysiou, DD en
dc.contributor.author Uzunoglu, NK en
dc.contributor.author Stamatakos, GS en
dc.date.accessioned 2014-03-01T01:37:10Z
dc.date.available 2014-03-01T01:37:10Z
dc.date.issued 2011 en
dc.identifier.issn 0895-7177 en
dc.identifier.uri http://hdl.handle.net/123456789/21469
dc.subject Cancer modeling en
dc.subject Exponential tumor growth en
dc.subject In silico oncology en
dc.subject Tumor free growth en
dc.subject Tumor kinetics en
dc.subject.classification Computer Science, Interdisciplinary Applications en
dc.subject.classification Computer Science, Software Engineering en
dc.subject.classification Mathematics, Applied en
dc.subject.other Analytical treatment en
dc.subject.other Biological mechanisms en
dc.subject.other Cancer modeling en
dc.subject.other Cell cycle en
dc.subject.other Cell populations en
dc.subject.other Clinical data en
dc.subject.other Discrete models en
dc.subject.other Discrete simulation model en
dc.subject.other Dynamic behaviors en
dc.subject.other Exponential tumor growth en
dc.subject.other Growth behavior en
dc.subject.other Histological data en
dc.subject.other In silico oncology en
dc.subject.other In-depth investigation en
dc.subject.other Malignant tumors en
dc.subject.other Model parameters en
dc.subject.other Parametric analysis en
dc.subject.other Parametric study en
dc.subject.other Possible solutions en
dc.subject.other Transition rates en
dc.subject.other Tumor cells en
dc.subject.other Tumor growth en
dc.subject.other Cell culture en
dc.subject.other Cell proliferation en
dc.subject.other Computer simulation en
dc.subject.other Kinetics en
dc.subject.other Mathematical models en
dc.subject.other Population statistics en
dc.subject.other Tumors en
dc.subject.other Growth kinetics en
dc.title Studying the growth kinetics of untreated clinical tumors by using an advanced discrete simulation model en
heal.type journalArticle en
heal.identifier.primary 10.1016/j.mcm.2011.05.007 en
heal.identifier.secondary http://dx.doi.org/10.1016/j.mcm.2011.05.007 en
heal.language English en
heal.publicationDate 2011 en
heal.abstract Prior to an eventual clinical adaptation and validation of any clinically oriented model, a thorough study of its dynamic behavior is a sine qua non. Such a study can also elucidate aspects of the interplay of the involved biological mechanisms. Toward this goal, the paper focuses on an in-depth investigation of the free growth behavior of a macroscopically homogeneous malignant tumor system, using a discrete model of tumor growth. We demonstrate that when a clinical tumor grows exponentially, the following preconditions must be fulfilled: (a) time- and space-independent tumor dynamics, in terms of the transition rates among the considered cell categories and the duration of the cell cycle phases, and (b) a tumor system in a state of population equilibrium. Moreover, constant tumor dynamics during the simulation are assumed. In order to create a growing tumor, a condition that the model parameters must fulfill has been derived based on an analytical treatment of the model's assumptions. A detailed parametric analysis of the model has been performed, in order to determine the impact and the interdependences of its parameters with focus on the free growth rate and the composition of cell population. Constraining tumor cell kinetics, toward limiting the number of possible solutions (i.e., sets of parameters) to the problem of adaptation to the real macroscopic features of a tumor, is also discussed. After completing all parametric studies and after adapting and validating the model on clinical data, it is envisaged to end up with a reliable tool for supporting clinicians in selecting the most appropriate pattern, extracted from several candidate therapeutic schemes, by exploiting tumor- and patient-specific imaging, molecular and histological data. (C) 2011 Elsevier Ltd. All rights reserved. en
heal.journalName Mathematical and Computer Modelling en
dc.identifier.doi 10.1016/j.mcm.2011.05.007 en
dc.identifier.isi ISI:000293829300011 en
dc.identifier.volume 54 en
dc.identifier.issue 9-10 en
dc.identifier.spage 1989 en
dc.identifier.epage 2006 en

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