Abstract
Many physiological systems appear to present data that is random or without order. The origins of this disorder are often attributed to variability introduced by the multifactorial determinants of the system. This classical view of physiological randomness has also been widely discussed in quantitative pharmacological systems. However, since the early 1990s it has been revealed that highly variable data from physiological, pharmacokinetic, and pharmacodynamic studies, in contrast to errors in measurement, have their origins in nonlinear dynamical systems that can be described by chaos theory (Goldberger 1989, 1996; Goldberger et al. 1990; Tallarida 1990a, b; van Rossum and de Bie 1991; Dokoumetzidis et al. 2001, 2002; Mager and Abernethy 2007).
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References
Callard R, George AJ et al (1999) Cytokines, chaos, and complexity. Immunity 11(5):507–513
Dokoumetzidis A, Iliadis A et al (2001) Nonlinear dynamics and chaos theory: concepts and applications relevant to pharmacodynamics. Pharm Res 18(4):415–426
Dokoumetzidis A, Iliadis A et al (2002) Nonlinear dynamics in clinical pharmacology: the paradigm of cortisol secretion and suppression. Br J Clin Pharmacol 54(1):21–29
Dokoumetzidis A, Karalis V et al (2004) The heterogeneous course of drug transit through the body. Trends Pharmacol Sci 25(3):140–146
Fuite J, Marsh R et al (2002) Fractal pharmacokinetics of the drug mibefradil in the liver. Phys Rev E Stat Nonlin Soft Matter Phys 66(2 pt 1):021904
Goldberger AL (1989) Cardiac chaos. Science 243(4897):1419
Goldberger AL (1996) Non-linear dynamics for clinicians: chaos theory, fractals, and complexity at the bedside. Lancet 347(9011):1312–1314
Goldberger AL, Rigney DR et al (1990) Chaos and fractals in human physiology. Sci Am 262(2):42–49
Higgins JP (2002) Nonlinear systems in medicine. Yale J Biol Med 75(5–6):247–260
Macheras P, Argyrakis P (1997) Gastrointestinal drug absorption: is it time to consider heterogeneity as well as homogeneity? Pharm Res 14(7):842–847
Macheras P, Argyrakis P et al (1996) Fractal geometry, fractal kinetics and chaos en route to biopharmaceutical sciences. Eur J Drug Metab Pharmacokinet 21(2):77–86
Mager DE, Abernethy DR (2007) Use of wavelet and fast Fourier transforms in pharmacodynamics. J Pharmacol Exp Ther 321(2):423–430
Marsh RE, Tuszynski JA (2006) Fractal Michaelis-Menten kinetics under steady state conditions: application to mibefradil. Pharm Res 23(12):2760–2767
Orive G, Gascon AR et al (2004) Techniques: new approaches to the delivery of biopharmaceuticals. Trends Pharmacol Sci 25(7):382–387
Pang KS, Weiss M et al (2007) Advanced pharmacokinetic models based on organ clearance, circulatory, and fractal concepts. AAPS J 9(2):E268–E283
Prank K, Harms H et al (1995) Nonlinear dynamics in pulsatile secretion of parathyroid hormone in normal human subjects. Chaos 5(1):76–81
Schoemaker RC, van Gerven JM et al (1998) Estimating potency for the Emax-model without attaining maximal effects. J Pharmacokinet Biopharm 26(5):581–593
Seely AJ, Christou NV (2000) Multiple organ dysfunction syndrome: exploring the paradigm of complex nonlinear systems. Crit Care Med 28(7):2193–2200
Smith LA (2002) What might we learn from climate forecasts? Proc Natl Acad Sci U S A 99(suppl 1):2487–2492
Tallarida RJ (1990a) Control and oscillation in ligand receptor interactions according to the law of mass action. Life Sci 46(22):1559–1568
Tallarida RJ (1990b) Further characterization of a control model for ligand–receptor interaction: phase plane geometry, stability, and oscillation. Ann Biomed Eng 18(6):671–684
Tallarida RJ, Freeman KA (1994) Chaos and control in mass-action binding of endogenous compounds. Ann Biomed Eng 22(2):153–161
Thomas RS, Bigelow PL et al (1996) Variability in biological exposure indices using physiologically based pharmacokinetic modeling and Monte Carlo simulation. Am Ind Hyg Assoc J 57(1):23–32
van Rossum JM, de Bie JE (1991) Chaos and illusion. Trends Pharmacol Sci 12(10):379–383
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© 2011 American Association of Pharmaceutical Scientists
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Hickey, A.J., Smyth, H.D.C. (2011). Pharmacokinetics and Pharmacodynamics. In: Pharmaco-Complexity. Outlines in Pharmaceutical Sciences, vol 1. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-7856-1_5
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DOI: https://doi.org/10.1007/978-1-4419-7856-1_5
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