This Timeline article charts progress in mathematical modelling of cancer over the past 50
years, highlighting the different theoretical approaches that have been used to dissect the …

Cancer is a collection of diseases with the common feature of uncontrolled cellular growth.
Most tissues in the body can give rise to cancer, some even yield several types, and each …

Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a process
whereby capillary sprouts are formed in response to externally supplied chemical stimuli …

Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …

Chemotaxis is one of many mechanisms used by cells and organisms to navigate through
the environment, and has been found on scales varying from the microscopic to the …

This paper provides a survey of mathematical models and methods dealing with the analysis
and simulation of tumor dynamics in competition with the immune system. The characteristic …

Angiogenesis, the growth of a network of blood vessels, is a crucial component of solid
tumor growth, linking the relatively harmless avascular and the potentially fatal vascular …

Cancer is a complex disease in which a variety of factors interact over a wide range of
spatial and temporal scales with huge datasets relating to the different scales available …

Two major mechanisms are involved in the formation of blood vasculature: vasculogenesis
and angiogenesis. The former term describes the formation of a capillary-like network from …

Cancer is still one of the major causes of death worldwide. Even if its comprehension is
improving continuously, the complexity and heterogeneity of this group of diseases …