Cancer biology
is dominated by processes that exhibit highly non-linear dynamics.
Such systems cannot be understood intuitively – the dynamics
must be understood using biologically realistic mathematical models
with appropriate numerical simulations
“In the absence
of consistent application of rigorous mathematical models, theoretical
medicine will largely remain empirical, phenomenological and
anecdotal, successful only in linear systems that can be defined
by a single experiment or a few experiments.”
Gatenby and Maini
in Nature, 2002