By Masatoshi Murase
Makes use of nonlinear dynamics as a origin to procedure oscillations in motile structures, providing mechano-chemical oscillary platforms as a prototype of nonlinear technological know-how. deals the idea that extremely simple nonlinear versions may have advanced behaviors and mathematical research of those versions can reduction in figuring out organic tactics. Surveys the most recent experimental and theoretical effects. additionally features a slew of figures and diagrams.
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Extra resources for Dynamics of cellular motility
C): Nyquist plot. 1) such that a point is plotted whose distance is equal to the amplitude, A, and whose angle is equal to the phase angle, 0. At different frequencies, these points are plotted and connected by a continuous curve. characterized by its amplitude and resulting phase shift with respect to the length change. llA shows that there is a phase advance,
The second terms of these equations describe the representation of diffusion where D, and D2 are the diffusion constants for ur and vr, respectively. Interestingly, the initial homogeneous (symmetrical) system, being an ensemble of cells, gives rise to inhomogeneous (asymmetrical) structures as the concentrations of chemical substances change due to diffusion. We sometimes call this effect diffusion instability or Turing instability. Symmetrybreaking phenomena of this kind are very suggestive, not only because they seem to conflict with the general concept that diffusion is likely to cause symmetry, but also because no change appears when we consider the total system instead of the individually divided cell.
Of glycerinated insect muscles. This oscillation requires a From Jewell and Riiegg (1966). 10 Experimental set-up for driven oscillation. The preparation (P) is immersed in a bath (B) of ATP salt solution. The preparation is driven by a sinusoidal wave generator (V), and the tension response is measured. From Riiegg (1968). Reprinted with permission of Birkhauser Verlag AG. the possibility of oscillations. However, it is not suitable for analysing the dynamic characteristics of the muscle, because the experimental set-up contains 'artificial' mass and elasticity.
Dynamics of cellular motility by Masatoshi Murase