TY - GEN
T1 - Global Dynamics of the Angiogenesis in a Tumor-Immune System Model
AU - Cantera, Luis A.
AU - Starkov, Konstantin E.
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015
Y1 - 2015
N2 - In this work we study the global dynamics of the tumorangiogenesis developed by Louise Viger using the Localizationof Compact Invariant Sets. This model describes thebehavior and interactions of the population of host, effector, tumor and endothelial cells. We defined the upper andlower bounds for the cell populations. These bounds containall dynamics of the state variables for any initial conditionalso we defined conditions for the convergence to thetumor free equilibrium point and we present the simulationof the system under these conditions.
AB - In this work we study the global dynamics of the tumorangiogenesis developed by Louise Viger using the Localizationof Compact Invariant Sets. This model describes thebehavior and interactions of the population of host, effector, tumor and endothelial cells. We defined the upper andlower bounds for the cell populations. These bounds containall dynamics of the state variables for any initial conditionalso we defined conditions for the convergence to thetumor free equilibrium point and we present the simulationof the system under these conditions.
KW - Angiogenesis
KW - Compact invariant sets
KW - Numerical simulation
UR - http://www.scopus.com/inward/record.url?scp=84964317882&partnerID=8YFLogxK
U2 - 10.1109/ICMEAE.2015.48
DO - 10.1109/ICMEAE.2015.48
M3 - Contribución a la conferencia
AN - SCOPUS:84964317882
T3 - Proceedings - 2015 International Conference on Mechatronics, Electronics, and Automotive Engineering, ICMEAE 2015
SP - 205
EP - 210
BT - Proceedings - 2015 International Conference on Mechatronics, Electronics, and Automotive Engineering, ICMEAE 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - International Conference on Mechatronics, Electronics, and Automotive Engineering, ICMEAE 2015
Y2 - 24 November 2015 through 27 November 2015
ER -