ITM Web of Conferences
Volume 5, 2015Workshop on Multiscale and Hybrid Modelling in Cell and Cell Population Biology
|Number of page(s)||7|
|Published online||11 December 2015|
On the growth and dissemination laws in a mathematical model of metastatic growth
1 inria Bordeaux Sud-Ouest, team MONC and Institut de Mathématiques de Bordeaux, Bordeaux, France
2 Departments of Cancer Genetics and Medicine, Roswell Park Cancer Institute, Buffalo, NY, USA
a e-mail: firstname.lastname@example.org
Metastasis represents one of the main clinical challenge in cancer treatment since it is associated with the majority of deaths. Recent technological advances allow quantification of the dynamics of the process by means of noninvasive techniques such as longitudinal tracking of bioluminescent cells. The metastatic process was simplified here into two essential components – dissemination and colonization – which were mathematically formalized in terms of simple quantitative laws. The resulting mathematical model was confronted to in vivo experimental data of spontaneous metastasis after primary tumor resection. We discuss how much information can be inferred from confrontation of theories to the data with emphasis on identifiability issues. It is shown that two mutually exclusive assumptions for the secondary growth law (namely same or different from the primary tumor growth law) could fit equally well the data. Similarly, the fractal dimension coeffcient in the dissemination law could not be uniquely determined from data on total metastatic burden only. Together, these results delimitate the range of information that can be recovered from fitting data of metastatic growth to already simplified mathematical models.
© Owned by the authors, published by EDP Sciences, 2015
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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