Slow and fast invasion waves in a model of acid-mediated tumour growth
| dc.contributor.author | Fasano, A. | |
| dc.contributor.author | Herrero, Miguel A. | |
| dc.contributor.author | Rodrigo, Marianito R. | |
| dc.date.accessioned | 2023-06-20T00:15:37Z | |
| dc.date.available | 2023-06-20T00:15:37Z | |
| dc.date.issued | 2009-07 | |
| dc.description.abstract | This work is concerned with a reaction-diffusion system that has been proposed as a model to describe acid-mediated cancer invasion. More precisely, we consider the properties of travelling waves that can be supported by such a system, and show that a rich variety of wave propagation dynamics, both fast and slow, is compatible with the model. In particular, asymptotic formulae for admissible wave profiles and bounds on their wave speeds are provided. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | European Contract | |
| dc.description.sponsorship | Junta de Andalucia | |
| dc.description.sponsorship | MICINN Research | |
| dc.description.sponsorship | Universidad Complutense Programme for Distinguished Visitors | |
| dc.description.sponsorship | Italian PRIN | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16223 | |
| dc.identifier.doi | 10.1016/j.mbs.2009.04.001 | |
| dc.identifier.issn | 0025-5564 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0025556409000698 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42287 | |
| dc.issue.number | 1 | |
| dc.journal.title | Mathematical Biosciences | |
| dc.language.iso | eng | |
| dc.page.final | 56 | |
| dc.page.initial | 45 | |
| dc.publisher | Elsevier Science Inc | |
| dc.relation.projectID | MRTN-CT-2004-503361 | |
| dc.relation.projectID | E-1268 | |
| dc.relation.projectID | MTM2008-01867 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 519.87 | |
| dc.subject.cdu | 616-006 | |
| dc.subject.cdu | 51-76 | |
| dc.subject.keyword | Reaction-diffusion systems | |
| dc.subject.keyword | Tumour growth | |
| dc.subject.keyword | Asymptotic methods | |
| dc.subject.keyword | Mathematical biology | |
| dc.subject.keyword | Cancer-cell invasion | |
| dc.subject.keyword | h+-ion mobility | |
| dc.subject.keyword | malignant invasion | |
| dc.subject.keyword | ventricular myocyte | |
| dc.subject.keyword | excitable media | |
| dc.subject.keyword | diffusion | |
| dc.subject.keyword | tissue | |
| dc.subject.ucm | Biomatemáticas | |
| dc.subject.ucm | Oncología | |
| dc.subject.ucm | Investigación operativa (Matemáticas) | |
| dc.subject.unesco | 2404 Biomatemáticas | |
| dc.subject.unesco | 3201.01 Oncología | |
| dc.subject.unesco | 1207 Investigación Operativa | |
| dc.title | Slow and fast invasion waves in a model of acid-mediated tumour growth | |
| dc.type | journal article | |
| dc.volume.number | 220 | |
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