A. Dokoumetzidis et al., Nonlinear dynamics and chaos theory: Concepts and applications relevant topharmacodynamics, PHARM RES, 18(4), 2001, pp. 415-426
The theory of nonlinear dynamical systems (chaos theory), which deals with
deterministic systems that exhibit a complicated, apparently random-looking
behavior, has formed an interdisciplinary area of research and has affecte
d almost every field of science in the last 20 years. Life sciences are one
of the most applicable areas for the ideas of chaos because of the complex
ity of biological systems. It is widely appreciated that chaotic behavior d
ominates physiological systems. This is suggested by experimental studies a
nd has also been encouraged by very successful modeling. Pharmacodynamics a
re very tightly associated with complex physiological processes, and the im
plications of this relation demand that the new approach of nonlinear dynam
ics should be adopted in greater extent in pharmacodynamic studies. This is
necessary not only for the sake of more detailed study, but mainly because
nonlinear dynamics suggest a whole new rationale, fundamentally different
from the classic approach. In this work the basic principles of dynamical s
ystems are presented and applications of nonlinear dynamics in topics relev
ant to drug research and especially to pharmacodynamics are reviewed. Speci
al attention is focused on three major fields of physiological systems with
great importance in pharmacotherapy, namely cardiovascular, central nervou
s, and endocrine systems, where tools and concepts from nonlinear dynamics
have been applied.