L. Matsson, SOLITON GROWTH-SIGNAL TRANSDUCTION IN TOPOLOGICALLY QUANTIZED T-CELLS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(3), 1993, pp. 2217-2231
A model for growth-signal transduction of the T cell and its growth fa
ctor, interleukin-2, is presented. It is obtained as a generalization
of the usual rate equation and is founded on the observation that a de
finite number of receptor occupations must take place in order to prom
ote transition to the S phase and subsequent DNA replication. The gene
ralized rate equation is identified as the equation of motion of a Lag
rangian field theory of Ginzburg-Landau (Goldstone) type. However it i
s not an ad hoc model but is a microscopic theory of the interaction o
f interleukin-2 and its receptor. The topological quantum number of th
e model is related to the observed definite number of receptor occupat
ions required to elicit growth-signal transduction. Individual recepto
r quanta, up to this limit, are subjected to a type of Bose condensati
on. This collective excitation constitutes the growth signal in the fo
rm of a topological kink soliton which is then launched by the next po
tential receptor occupation that makes the interaction repulsive. The
model provides a possible long-absent explanation of the triggering me
chanism for growth-signal transduction by means of the ambivalent inte
raction, which switches sign after a definite number of receptor occup
ations. Moreover, it offers an explanation of how Nature screens out f
ractional signals in the growth-signal-transduction process of T cells
. Although the model is derived for assumed point-like cells and certa
in other restrictions, the obtained dose-response curves are in striki
ng agreement with proliferation data from studies of both the leukemic
T cell line MLA-144 from gibbon ape and normal human T cells in, and
without, the presence of monoclonal anti-Tac antibodies.