TY - JOUR
T1 - On dynamic tumor eradication conditions under combined chemical/anti-angiogenic therapies
AU - Starkov, Konstantin E.
N1 - Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2018/2/13
Y1 - 2018/2/13
N2 - In this paper ultimate dynamics of the five-dimensional cancer tumor growth model at the angiogenesis phase is studied. This model elaborated by Pinho et al. in 2014 describes interactions between normal/cancer/endothelial cells under chemotherapy/anti-angiogenic agents in tumor growth process. The author derives ultimate upper bounds for normal/tumor/endothelial cells concentrations and ultimate upper and lower bounds for chemical/anti-angiogenic concentrations. Global asymptotic tumor clearance conditions are obtained for two versions: the use of only chemotherapy and the combined application of chemotherapy and anti-angiogenic therapy. These conditions are established as the attraction conditions to the maximum invariant set in the tumor free plane, and furthermore, the case is examined when this set consists only of tumor free equilibrium points.
AB - In this paper ultimate dynamics of the five-dimensional cancer tumor growth model at the angiogenesis phase is studied. This model elaborated by Pinho et al. in 2014 describes interactions between normal/cancer/endothelial cells under chemotherapy/anti-angiogenic agents in tumor growth process. The author derives ultimate upper bounds for normal/tumor/endothelial cells concentrations and ultimate upper and lower bounds for chemical/anti-angiogenic concentrations. Global asymptotic tumor clearance conditions are obtained for two versions: the use of only chemotherapy and the combined application of chemotherapy and anti-angiogenic therapy. These conditions are established as the attraction conditions to the maximum invariant set in the tumor free plane, and furthermore, the case is examined when this set consists only of tumor free equilibrium points.
KW - Antiangiogenic therapy
KW - Chemotherapy
KW - Tumor clearance
KW - Ultimate dynamics
UR - http://www.scopus.com/inward/record.url?scp=85038844364&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2017.12.025
DO - 10.1016/j.physleta.2017.12.025
M3 - Artículo
SN - 0375-9601
VL - 382
SP - 387
EP - 393
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 6
ER -