CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
capítulos de libros
Título:
Sustainable Chemotherapy Schedules
Autor/es:
ANDRES BARREA; MATIAS HERNANDEZ
Libro:
IFMBE Proceedings
Editorial:
Springer
Referencias:
Año: 2015; p. 841 - 845
Resumen:
In this work, we use a discrete
time version of viability theory in order to investigate the existence
of sustainable cancer therapies. We begin by assuming that an
heterogeneous tumor under therapy grows according to a discrete model
and we next present the main points of Viability theory. After this, we
apply the Bellman equation in the context of the viability theory for
calculating the viability kernel in the framework of a particular
example, viability kernels which are not empty. Also we prove that there
is at least a therapy, which goal is to enforce a stable tumor burden
by permitting a significant population of chemosensitive cells to
survive so that they, in turn, suppress proliferation of the less fit
but chemoresistant subpopulations. Both numerical results, conclusions
and future work are presented.