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

A Synthesis of Optimal Controls for a Model of Tumor Growth under Angiogenic Inhibitors Page
1 A Synthesis of Optimal Controls for a Model of Tumor Growth under Angiogenic Inhibitors 1 …

There are an increasing number of clinical papers dealing with the continuous delivery of an
anticancer drug to patients. In this paper, two basic theoretical models are presented of …

Cancer chemotherapy with application of one drug is studied. The negative and inhibiting
effect of the tumor on normal cells is taken into account. Under certain assumptions, we …

We consider the problem of minimizing the tumor volume with a priori given amounts of anti-
angiogenic and cytotoxic agents. For one underlying mathematical model, optimal and …

We incorporate a previously validated mathematical model of a vascularized tumor into an
optimal control problem to determine the temporal scheduling of radiotherapy and …

Two mathematical models for tumour anti-angiogenesis, one originally formulated by
Hahnfeldt et al.(1999, Tumor development under angiogenic signaling: a dynamical theory …

Cancer is a highly complex disease with a myriad of different manifestations. The reasons
for this simply lie not only in the many types of different cells that exist in our bodies, but also …

A system of differential equations for the control of tumor cells growth in a cycle nonspecific
chemotherapy is presented. First-order drug kinetics and drug resistance are taken into …

Anti‐angiogenic therapy is a novel treatment approach for cancer that aims at preventing a
tumour from developing its own blood supply system that it needs for growth. In this paper …