Mostrar el registro sencillo de la publicación
A simultaneous blow-up problem arising in tumor modeling
| dc.contributor.author | Espejo, Elio | |
| dc.contributor.author | Vilches-Ponce, Karina | |
| dc.contributor.author | Conca, Carlos | |
| dc.date.accessioned | 2019-12-12T15:49:49Z | |
| dc.date.available | 2019-12-12T15:49:49Z | |
| dc.date.issued | 2019 | |
| dc.identifier.uri | http://repositorio.ucm.cl/handle/ucm/2533 | |
| dc.description.abstract | Although macrophages are part of the human immune system, it has been remarkably observed in laboratory experiments that decreasing its number can slow down the tumor progression. We analyze through a recently mathematical model proposed in the literature, necessary conditions for aggregation of tumor cells and macrophages. In order to do so, we prove the possibility of having blow-up in finite time. Next, we study if the aggregation of macrophages can occur when having a low density of tumor cells, and vice versa. With this purpose, we consider the problem of analyzing the existence or not of a simultaneous blow-up. We achieve this goal thanks to a novel process that allows us to compare the entropy functional associated with the density of each population, which turns out to be also a method to find enough conditions for having a simultaneous blow-up. | es_CL |
| dc.language.iso | en | es_CL |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| dc.source | Journal of Mathematical Biology, 79(4), 1357-1399 | es_CL |
| dc.subject | Chemotaxis | es_CL |
| dc.subject | Free energy | es_CL |
| dc.subject | Tumor | es_CL |
| dc.subject | Macrophages | es_CL |
| dc.title | A simultaneous blow-up problem arising in tumor modeling | es_CL |
| dc.type | Article | es_CL |
| dc.ucm.facultad | Facultad de Ciencias Básicas | es_CL |
| dc.ucm.indexacion | Scopus | es_CL |
| dc.ucm.uri | sibib2.ucm.cl:2048/login?url=https://link.springer.com/article/10.1007/s00285-019-01397-6 | es_CL |
| dc.ucm.doi | doi.org/10.1007/s00285-019-01397-6 | es_CL |
Ficheros en la publicación
| Ficheros | Tamaño | Formato | Ver |
|---|---|---|---|
|
No hay ficheros asociados a esta publicación. |
|||
Esta publicación aparece en la(s) siguiente(s) colección(ones)
Excepto si se señala otra cosa, la licencia de la publicación se describe como Atribución-NoComercial-SinDerivadas 3.0 Chile