dc.creator | Sun, Wenlong | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Han, Xiaoying | es |
dc.creator | Kloeden, Peter E. | es |
dc.date.accessioned | 2020-02-03T08:32:46Z | |
dc.date.available | 2020-02-03T08:32:46Z | |
dc.date.issued | 2020-06 | |
dc.identifier.citation | Sun, W., Caraballo Garrido, T., Han, X. y Kloeden, P.E. (2020). A free boundary tumor model with time dependent nutritional supply. Nonlinear Analysis: Real World Applications, 53 (103063) | |
dc.identifier.issn | 1468-1218 | es |
dc.identifier.uri | https://hdl.handle.net/11441/92692 | |
dc.description.abstract | A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion equation describing the distribution of vital nutrients in the tumor and a nonlinear integro-differential equation describing the evolution of the tumor size. First the global existence and uniqueness of a transient solution is established under some general conditions. Then with
additional regularity assumptions on the consumption and proliferation rates, the existence and uniqueness of steady-state solutions is obtained. Furthermore the convergence of the transient solutions toward the steady-state solution is verified. Finally the long time behavior of the solutions is investigated by transforming the time-dependent domain to a fixed domain. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.description.sponsorship | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | National Natural Science Foundation of China | es |
dc.description.sponsorship | Simons Foundation | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Nonlinear Analysis: Real World Applications, 53 (103063) | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Free boundary problem | es |
dc.subject | Tumor growth | es |
dc.subject | Long time dynamics | es |
dc.subject | Transient solution | es |
dc.subject | Steady-state solution | es |
dc.title | A free boundary tumor model with time dependent nutritional supply | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | MTM2015-63723-P | es |
dc.relation.projectID | P12-FQM-1492 | es |
dc.relation.projectID | 11571125 | es |
dc.relation.projectID | 429717 | es |
dc.relation.publisherversion | https://reader.elsevier.com/reader/sd/pii/S1468121819309356?token=BC3B0BEBF7A66E7D6072361B2E0BBF45D21104A77B3121C1C25381244B7923474FF54537F80D72B2FCBCF7110F802B9E | es |
dc.identifier.doi | 10.1016/j.nonrwa.2019.103063 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 26 p. | es |
dc.journaltitle | Nonlinear Analysis: Real World Applications | es |
dc.publication.volumen | 53 | es |
dc.publication.issue | 103063 | es |