Tumor containment for Norton-Simon models
Alvarez Borges, Frank Ernesto; Viossat, Yannick (2022), Tumor containment for Norton-Simon models. https://basepub.dauphine.psl.eu/handle/123456789/23292
View/ Open
Type
Document de travail / Working paperDate
2022Series title
Cahier de recherche CEREMADE, Université Paris Dauphine-PSLPublished in
Paris
Pages
31
Metadata
Show full item recordAuthor(s)
Alvarez Borges, Frank ErnestoCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Viossat, Yannick
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
Some clinical and pre-clinical data suggests that treating some tumors at a mild, patient-specific dose might delay resistance to treatment and increase survival time. A recent mathematical model with sensitive and resistant tumor cells identified conditions under which a treatment aiming at tumor containment rather than eradication is indeed optimal. This model however neglected mutations from sensitive to resistant cells, and assumed that the growth-rate of sensitive cells is non-increasing in the size of the resistant population. The latter is not true in standard models of chemotherapy. This article shows how to dispense with this assumption and allow for mutations from sensitive to resistant cells. This is achieved by a novel mathematical analysis comparing tumor sizes across treatments not as a function of time, but as a function of the resistant population size.Subjects / Keywords
Adaptive Therapy; tumor containment; Norton-Simon model; mathematical oncologyRelated items
Showing items related by title and author.
-
Alvarez Borges, Frank Ernesto; Carrillo, José; Clairambault, Jean (2022) Article accepté pour publication ou publié
-
Viossat, Yannick; Noble, Robert (2020) Document de travail / Working paper
-
Optimal control to reach eco-evolutionary stability in metastatic castrate-resistant prostate cancer Cunningham, Jessica; Thuijsman, Frank; Peeters, Ralf; Viossat, Yannick; Brown, Joel; Gatenby, Robert; Staňková, K. (2020) Article accepté pour publication ou publié
-
Alvarez, Frank; Guilberteau, Jules (2023) Document de travail / Working paper
-
Bouzeghoub, Mokrane; Grigori, Daniela; Corrales, Juan Carlos; Burbano, Javier Ernesto (2008) Communication / Conférence