Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy
Oncolytic virotherapy is a therapy for the treatment of malignant tumours. In some undesirable cases, the injection of viral particles can lead to stationary oscillations, thus preventing the full destruction of the tumour mass. We investigate the oscillation thresholds in a model for the dynamics...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2022-06-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/27962 |
| _version_ | 1818241977936773120 |
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| author | Bruno Buonomo Rossella Della Marca Salvatore Rionero |
| author_facet | Bruno Buonomo Rossella Della Marca Salvatore Rionero |
| author_sort | Bruno Buonomo |
| collection | DOAJ |
| description |
Oncolytic virotherapy is a therapy for the treatment of malignant tumours. In some undesirable cases, the injection of viral particles can lead to stationary oscillations, thus preventing the full destruction of the tumour mass. We investigate the oscillation thresholds in a model for the dynamics of a tumour under treatment with an oncolytic virus. To this aim, we employ the minimum bifurcation roots (MBR) method, which is a novel approach to determine the existence and location of Hopf bifurcations. The application to oncolytic virotherapy confirms how this approach may be more manageable than classical methods based on the Routh–Hurwitz criterion. In particular, the MBR method allows to explicitly identify a range of values in which the oscillation thresholds fall.
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| first_indexed | 2024-12-12T13:37:55Z |
| format | Article |
| id | doaj.art-84d266cbfc864e1d8e9b1af3fb34d28b |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-12T13:37:55Z |
| publishDate | 2022-06-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-84d266cbfc864e1d8e9b1af3fb34d28b2022-12-22T00:22:53ZengVilnius University PressNonlinear Analysis1392-51132335-89632022-06-012710.15388/namc.2022.27.27962Oscillation thresholds via the novel MBR method with application to oncolytic virotherapyBruno Buonomo0Rossella Della Marca1Salvatore Rionero2University of Naples Federico IISISSA – International School for Advanced StudiesUniversity of Naples Federico II Oncolytic virotherapy is a therapy for the treatment of malignant tumours. In some undesirable cases, the injection of viral particles can lead to stationary oscillations, thus preventing the full destruction of the tumour mass. We investigate the oscillation thresholds in a model for the dynamics of a tumour under treatment with an oncolytic virus. To this aim, we employ the minimum bifurcation roots (MBR) method, which is a novel approach to determine the existence and location of Hopf bifurcations. The application to oncolytic virotherapy confirms how this approach may be more manageable than classical methods based on the Routh–Hurwitz criterion. In particular, the MBR method allows to explicitly identify a range of values in which the oscillation thresholds fall. https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/27962dynamical systemnonhyperbolic equilibriumHopf bifurcationperiodic solutiontumour |
| spellingShingle | Bruno Buonomo Rossella Della Marca Salvatore Rionero Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy Nonlinear Analysis dynamical system nonhyperbolic equilibrium Hopf bifurcation periodic solution tumour |
| title | Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy |
| title_full | Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy |
| title_fullStr | Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy |
| title_full_unstemmed | Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy |
| title_short | Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy |
| title_sort | oscillation thresholds via the novel mbr method with application to oncolytic virotherapy |
| topic | dynamical system nonhyperbolic equilibrium Hopf bifurcation periodic solution tumour |
| url | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/27962 |
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