Optimal Control for a Mathematical Model of Glioma Treatment with Oncolytic Therapy and TNF-alpha Inhibitors
Artykuł w czasopiśmie
MNiSW
35
Lista A
| Status: | |
| Warianty tytułu: |
Optimal Control for a Mathematical Model of Glioma Treatment with Oncolytic Therapy and TNF-α Inhibitors
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| Autorzy: | Ratajczyk Elżbieta, Ledzewicz Urszula, Schättler Heinz |
| Dyscypliny: | |
| Aby zobaczyć szczegóły należy się zalogować. | |
| Rok wydania: | 2018 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 2 |
| Wolumen/Tom: | 176 |
| Strony: | 456 - 477 |
| Impact Factor: | 1,6 |
| Web of Science® Times Cited: | 14 |
| Scopus® Cytowania: | 15 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | NIE |
| Abstrakty: | angielski |
| A mathematical model for combination therapy of glioma with oncolytic therapy and TNF-α inhibitors is analyzed as an optimal control problem. In the objective, a weighted average between the tumor volume and the total amount of viruses given is minimized. It is shown that optimal controls representing the virus administration are generically of the bang-bang type, i.e., the virus should be applied at maximal allowed dose with possible rest periods. On the other hand, optimal controls representing the dosage of TNF-α inhibitors follow a continuous regimen of concatenations between pieces that lie on the boundary and in the interior of the control set. |
