top
Six models of antiangiogenic therapy are compared and analyzed from control-theoretic point of view. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network, and are based on the idea proposed by Hahnfeldt et al. Moreover, we analyse optimal control problems resulting from their use in treatment protocol design.
Andrzej Świerniak. "Comparison of six models of antiangiogenic therapy." Applicationes Mathematicae 36.3 (2009): 333-348. <http://eudml.org/doc/279856>.
@article{AndrzejŚwierniak2009, abstract = {Six models of antiangiogenic therapy are compared and analyzed from control-theoretic point of view. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network, and are based on the idea proposed by Hahnfeldt et al. Moreover, we analyse optimal control problems resulting from their use in treatment protocol design.}, author = {Andrzej Świerniak}, journal = {Applicationes Mathematicae}, keywords = {antiangiogenic therapy; tumor growth; vascular network; models of dynamics of networks; optimal control problems}, language = {eng}, number = {3}, pages = {333-348}, title = {Comparison of six models of antiangiogenic therapy}, url = {http://eudml.org/doc/279856}, volume = {36}, year = {2009}, }
TY - JOUR AU - Andrzej Świerniak TI - Comparison of six models of antiangiogenic therapy JO - Applicationes Mathematicae PY - 2009 VL - 36 IS - 3 SP - 333 EP - 348 AB - Six models of antiangiogenic therapy are compared and analyzed from control-theoretic point of view. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network, and are based on the idea proposed by Hahnfeldt et al. Moreover, we analyse optimal control problems resulting from their use in treatment protocol design. LA - eng KW - antiangiogenic therapy; tumor growth; vascular network; models of dynamics of networks; optimal control problems UR - http://eudml.org/doc/279856 ER -