Por favor, use este identificador para citar o enlazar a este item:
http://hdl.handle.net/10261/151336
COMPARTIR / EXPORTAR:
SHARE CORE BASE | |
Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE | |
Título: | Dynamics and bifurcations in a simple quasispecies model of tumorigenesis |
Autor: | Castillo, Vanessa; Lázaro, J. Tomás; Sardanyés, Josep CSIC ORCID | Palabras clave: | Applied mathematics Bifurcations Cancer Complex systems Quasispecies dynamics |
Fecha de publicación: | mar-2017 | Editor: | Springer Nature | Citación: | Computational and Applied Mathematics 36(1): 415–431 (2017) | Resumen: | Cancer is a complex disease and thus is complicated to model. However, simple models that describe the main processes involved in tumoral dynamics, e.g., competition and mutation, can give us clues about cancer behavior, at least qualitatively, also allowing us to make predictions. Here, we analyze a simplified quasispecies mathematical model given by differential equations describing the time behavior of tumor cell populations with different levels of genomic instability. We find the equilibrium points, also characterizing their stability and bifurcations focusing on replication and mutation rates. We identify a transcritical bifurcation at increasing mutation rates of the tumor cells. Such a bifurcation involves a scenario with dominance of healthy cells and impairment of tumor populations. Finally, we characterize the transient times for this scenario, showing that a slight increase beyond the critical mutation rate may be enough to have a fast response towards the desired state (i.e., low tumor populations) by applying directed mutagenic therapies. | Versión del editor: | http://dx.doi.org/10.1007/s40314-015-0234-3 | URI: | http://hdl.handle.net/10261/151336 | DOI: | 10.1007/s40314-015-0234-3 | ISSN: | 0101-8205 | E-ISSN: | 1807-0302 |
Aparece en las colecciones: | (IBE) Artículos |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
---|---|---|---|---|
accesoRestringido.pdf | 15,38 kB | Adobe PDF | Visualizar/Abrir |
CORE Recommender
SCOPUSTM
Citations
4
checked on 13-mar-2024
WEB OF SCIENCETM
Citations
4
checked on 26-feb-2024
Page view(s)
276
checked on 18-mar-2024
Download(s)
69
checked on 18-mar-2024
Google ScholarTM
Check
Altmetric
Altmetric
NOTA: Los ítems de Digital.CSIC están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.