By H. Fröhlich (auth.), Prof. Dr. Herbert Fröhlich (eds.)
This e-book provides an intensive therapy of the advent of contemporary actual suggestions into biology. specifically, the idea that of coherence reveals broad functions and yields novel ends up in context with a number of difficulties as they come up in biology: those contain lengthy diversity resonant mobile results and resonant interactions of organic tissues with low depth electro-magnetic radiation. huge experimental aid of the theoretical suggestion is gifted.
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Extra resources for Biological Coherence and Response to External Stimuli
Damped,forced, linear: driven harmonic oscillator x+ ax + ax = F(t) . (A8) This is the classical resonance problem (see Fig. 2). The analytic solution is a superposition of the solution of the undriven oscillator (damped sine-wave as a transient) and a particular solution of the whole system, a steady state oscillator with the external frequency. 6. Damped, forced, non-linear: driven anharmonic oscillator driven Duffing oscillator driven Van der Pol oscillator x+ ax + (a + t3x 2)x = F(t) x+ (a + bx2)x + ax = F(t) .
8. The possibility to construct attractors from time signals that look irregular makes it possible to gain information on the internal dynamics. The number of relevant variables can be estimated provided the irregularity has a deterministic basis. Furthermore, the influence of always present noise can be studied separately. It should be emphasized that chaotic states can also be created by internal means. g. ). They are in these cases not a pathological sign (Kaiser 1987). It seems that chaos plays an important role in biological systems, at least in certain stages of development.
In: Chiabrera A, Nicolini C, Schwan HP (eds) Interactions between electromagnetic fields and cells. Plenum, New York, pp 131-155 Kaiser F (1985b) Cooperative behaviour in brain activity: response to external drives. In: Mishra RK (ed) World Scientific, Singapore, pp 467-491 Kaiser F (1987) The role of chaos in biological systems. In: Barett W, Pohl H (eds) Energy transfer dynamics. Springer, Berlin Heidelberg New York, pp 224-236 Layne SP, Mayer-Kress G, Holzfuss J (1986) Problems associated with dimensional analysis of EEG data.