We review a large volume of literature concerning mathematical models of cancer therapy,
oriented towards optimization of treatment protocols. The review, although partly …

In metastatic castrate resistant prostate cancer (mCRPC), abiraterone is conventionally
administered continuously at maximal tolerated dose until treatment failure. The majority of …

The biology of cancer is critically reviewed and evidence adduced that its development can
be modelled as a somatic cellular Darwinian evolutionary process. The evidence for …

A mathematical model for the scheduling of angiogenic inhibitors in combination with a
chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication …

We consider a system of two coupled integro-differential equations modelling populations of
healthy and cancer cells under chemotherapy. Both populations are structured by a …

A general SIR-model with vaccination and treatment is considered as a multi-input optimal
control problem over a fixed time horizon. Existence and local optimality of singular controls …

An optimal control problem for cancer chemotherapy is considered that includes
immunological activity. In the objective a weighted average of several quantities that …

Chemotherapy remains a widely used cancer treatment. Acquired drug resistance may
greatly reduce the efficacy of treatment and means to overcome it are a topic of active …

An optimal control algorithm is proposed for impulsive differential systems, ie, systems
evolving according to ordinary differential equations between any two control actions …

Tumor-induced angiogenesis leads to the development of leaky tumor vessels devoid of
structural and morphological integrity. Due to angiogenesis, elevated interstitial fluid …