On the growth and dissemination laws in a mathematical model of metastatic growth
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Modélisation Mathématique pour l'Oncologie [MONC] | |
| dc.contributor.author | BENZEKRY, Sébastien | |
| hal.structure.identifier | Department of Cancer Genetics [Buffalo] | |
| hal.structure.identifier | Department of Medicine [Buffalo] | |
| dc.contributor.author | EBOS, John | |
| dc.date.accessioned | 2024-04-04T03:17:05Z | |
| dc.date.available | 2024-04-04T03:17:05Z | |
| dc.date.created | 2015 | |
| dc.date.conference | 2015-03-16 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194278 | |
| dc.description.abstractEn | 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 coefficient 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. | |
| dc.description.sponsorship | Initiative d'excellence de l'Université de Bordeaux - ANR-10-IDEX-0003 | |
| dc.language.iso | en | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc/ | |
| dc.subject.mesh | Metastatic dynamics; Cancer modeling; Theoretical biology | |
| dc.title.en | On the growth and dissemination laws in a mathematical model of metastatic growth | |
| dc.type | Communication dans un congrès | |
| dc.identifier.doi | 10.1051/itmconf/20150500007 | |
| dc.subject.hal | Sciences du Vivant [q-bio]/Cancer | |
| dc.subject.hal | Statistiques [stat]/Applications [stat.AP] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.identifier.arxiv | 1511.01810 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.conference.title | Workshop on Multiscale and Hybrid Modelling in Cell and Cell Population Biology | |
| bordeaux.country | FR | |
| bordeaux.conference.city | Paris | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01222088 | |
| hal.version | 1 | |
| hal.invited | non | |
| hal.proceedings | non | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01222088v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BENZEKRY,%20S%C3%A9bastien&EBOS,%20John&rft.genre=unknown |
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