Our aim in this paper is to study a mathematical model for tumor growth and lactate exchanges in a glioma. We prove the existence of nonnegative (i.e. biologically relevant) solutions and, under proper assumptions, the uniqueness of the solution. We also state the permanence of the tumor when necrosis is not taken into account in the model and obtain linear stability results. We end the paper with numerical simulations.

Analysis of a model for tumor growth and lactate exchanges in a glioma / Cherfils, L; Gatti, S; Miranville, A; Guillevin, R. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1179. - 14:8(2021), pp. 2729-2749. [10.3934/dcdss.2020457]

Analysis of a model for tumor growth and lactate exchanges in a glioma

Gatti, S;
2021

Abstract

Our aim in this paper is to study a mathematical model for tumor growth and lactate exchanges in a glioma. We prove the existence of nonnegative (i.e. biologically relevant) solutions and, under proper assumptions, the uniqueness of the solution. We also state the permanence of the tumor when necrosis is not taken into account in the model and obtain linear stability results. We end the paper with numerical simulations.
2021
dic-2020
14
8
2729
2749
Analysis of a model for tumor growth and lactate exchanges in a glioma / Cherfils, L; Gatti, S; Miranville, A; Guillevin, R. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1179. - 14:8(2021), pp. 2729-2749. [10.3934/dcdss.2020457]
Cherfils, L; Gatti, S; Miranville, A; Guillevin, R
File in questo prodotto:
File Dimensione Formato  
1937-1632_2019_0_250.pdf

Accesso riservato

Tipologia: Versione pubblicata dall'editore
Dimensione 6.21 MB
Formato Adobe PDF
6.21 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1239910
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 6
social impact