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Carcinogenesis: alterations in reciprocal interactions of normal functional
structure of biologic systems
#MMPMID26617634
Davydyan G
EURASIP J Bioinform Syst Biol
2015[Dec]; 2015
(1
): 11
PMID26617634
show ga
The evolution of biologic systems (BS) includes functional mechanisms that in
some conditions may lead to the development of cancer. Using mathematical group
theory and matrix analysis, previously, it was shown that normally functioning BS
are steady functional structures regulated by three basis regulatory components:
reciprocal links (RL), negative feedback (NFB) and positive feedback (PFB).
Together, they form an integrative unit maintaining system's autonomy and
functional stability. It is proposed that phylogenetic development of different
species is implemented by the splitting of "rudimentary" characters into two
relatively independent functional parts that become encoded in chromosomes. The
functional correlate of splitting mechanisms is RL. Inversion of phylogenetic
mechanisms during ontogenetic development leads cell differentiation until cells
reach mature states. Deterioration of reciprocal structure in the genome during
ontogenesis gives rise of pathological conditions characterized by unsteadiness
of the system. Uncontrollable cell proliferation and invasive cell growth are the
leading features of the functional outcomes of malfunctioning systems. The
regulatory element responsible for these changes is RL. In matrix language,
pathological regulation is represented by matrices having positive values of
diagonal elements (TrA?>?0) and also positive values of matrix determinant
(detA?>?0). Regulatory structures of that kind can be obtained if the negative
entry of the matrix corresponding to RL is replaced with the positive one. To
describe not only normal but also pathological states of BS, a unit matrix should
be added to the basis matrices representing RL, NFB and PFB. A mathematical
structure corresponding to the set of these four basis functional patterns
(matrices) is a split quaternion (coquaternion). The structure and specific role
of basis elements comprising four-dimensional linear space of split quaternions
help to understand what changes in mechanism of cell differentiation may lead to
cancer development.
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