| dc.creator | Espejo, Elio | |
| dc.creator | Vilches-Ponce, Karina | |
| dc.creator | Conca, Carlos | |
| dc.date | 2019-12-12T15:49:49Z | |
| dc.date | 2019-12-12T15:49:49Z | |
| dc.date | 2019 | |
| dc.date.accessioned | 2022-10-18T12:12:19Z | |
| dc.date.available | 2022-10-18T12:12:19Z | |
| dc.identifier | http://repositorio.ucm.cl/handle/ucm/2533 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4442995 | |
| dc.description | 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. | |
| dc.language | en | |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.source | Journal of Mathematical Biology, 79(4), 1357-1399 | |
| dc.subject | Chemotaxis | |
| dc.subject | Free energy | |
| dc.subject | Tumor | |
| dc.subject | Macrophages | |
| dc.title | A simultaneous blow-up problem arising in tumor modeling | |
| dc.type | Artículos de revistas | |
