Self-organized biological dynamics & nonlinear control by Jan Walleczek
By Jan Walleczek
The becoming effect of nonlinear technology on biology and drugs is essentially altering our view of residing organisms and disorder techniques. This ebook introduces the applying to biomedicine of a wide variety of options from nonlinear dynamics, corresponding to self-organization, complexity, coherence, stochastic resonance, fractals, and chaos. Written by way of best figures within the box, insurance info experimental and theoretical learn, in addition to the rising technological probabilities comparable to nonlinear regulate strategies for treating pathological biodynamics, together with middle arrhythmias and epilepsy. Self-Organized organic Dynamics and Nonlinear regulate will allure the curiosity of pros and scholars from quite a lot of disciplines, together with physicists, chemists, biologists, sensory physiologists and clinical researchers corresponding to cardiologists, neurologists and biomedical engineers.
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Extra info for Self-organized biological dynamics & nonlinear control
In this case the response then not only depends on one frequency and the related amplitude as well as the internal state of the system, it also depends on the speciﬁc temporal pattern of the signal. Nevertheless, general trends can be deduced, because in most cases a few frequencies will dominate. New temporal structures and temporal organizations emerge beyond a critical point of instability of a nonlinear steady state. The same holds for spatial structures, occurring beyond a critical point of instability of a homogeneous state.
Once dynamical similarity had been noted, a suggestion was made to look for Ca> waves, since the similarity to chemical systems suggested that spiral waves ought, also, to exist in cellular systems. , 1991). The observation of these waves and their similarity to both chemical waves (Epstein, 1991) and waves of electrical excitation in excitable cardiac tissue (another biological system whose understanding has been greatly facilitated by comparison with chemical systems) lent further support to the notion that the Ca> oscillations observed in diﬀerent cell types were dynamically similar.
And O’Gorman, D. (1994) Stochastic resonance. Int. J. Bifurc. Chaos 4: 1283—1297. Nicolis, G. and Prigogine, I. (1977) Self-organization in Non-equilibrium Systems. New York: Wiley. Pikovsky, A. and Kurths, J. (1997) Coherence resonance in a noise-driven excitable system. Phys. Rev. Lett. 78: 775—778. Poincare´, H. (1892) Les Me´thods Nouvelles de la Me´canique Ce´leste. Paris: Gauthier-Villars. Rashevsky, N. (1938) Mathematical Biophysics. Chicago: Chicago University Press. Ruelle, D. (1989) Chaotic Evolution and Strange Attractors.