  Leukaemia accounts for around 3% of all cancer types diagnosed in adults, and
is the most common type of cancer in children of paediatric age. There is
increasing interest in the use of mathematical models in oncology to draw
inferences and make predictions, providing a complementary picture to
experimental biomedical models. In this paper we recapitulate the state of the
art of mathematical modelling of leukaemia growth dynamics, in time and
response to treatment. We intend to describe the mathematical methodologies,
the biological aspects taken into account in the modelling, and the conclusions
of each study. This review is intended to provide researchers in the field with
solid background material, in order to achieve further breakthroughs in the
promising field of mathematical biology.
