Novel strategies for G-CSF support of severe prolonged neutropenia

We develop, in an axiomatic fashion, structurally stable mathematical equations that describe the G-CSF -neutrophil dynamics (the majority of the white blood cells are neutrophils. G- CSF is a factor that may be injected to help patients produce more neutrophils). We then show that a variant of this model adequately describes the neutrophils dynamics after chemotherapy treatments with various support protocols. A grading for neutropenia (the dangerous drop in the neutrophil's level) and corresponding tailored G-CSF treatments are proposed and are shown to be robust to parameter variability. Our results clarify and revise the current American Society of Clinical Oncology recommendations for G-CSF administration in neutropenia following intensive chemotherapy regime ns. As all our recommendations correspond to clinically available protocols, a framework for a prospective randomized clinical trial i s proposed.