Ra. Gatenby, APPLICATION OF COMPETITION THEORY TO TUMOR-GROWTH - IMPLICATIONS FOR TUMOR BIOLOGY AND TREATMENT, European journal of cancer, 32A(4), 1996, pp. 722-726
To assess critical parameters controlling tumour growth and response t
o therapy, competition theory models the tumour-host interface as a ne
twork of interacting normal and malignant cell populations using coupl
ed, non-linear differential equations. When the equations are analysed
under conditions which simulate tumour development, three phases of t
umour growth, each with different critical parameters, can be predicte
d. Transitions between these phases correspond to the initiation, prom
otion and invasion stages demonstrated in experimental models of carci
nogenesis. Critical cellular properties for each transition are predic
ted including phenomena already demonstrated experimentally such as th
e linkage of invasive tumour growth with acquisition of angiogenesis.
The model also predicts the previously unknown phenomenon of ((functio
nal equivalence)) in which disparate tumour traits can play identical
roles in tumour growth and invasion. This approach allows the diverse
but inconsistent properties of transformed cells to be understood acco
rding to their specific contribution to tumorigenesis. The models have
significant implications for treatment strategies. (C) 1996 Elsevier
Science Ltd