Chaos and physiology: deterministic chaos in excitable cell assemblies.

@article{Elbert1994ChaosAP,
  title={Chaos and physiology: deterministic chaos in excitable cell assemblies.},
  author={Thomas Elbert and William J. Ray and Zbigniew J. Kowalik and James E. Skinner and Kelly E. Graf and Niels Birbaumer},
  journal={Physiological reviews},
  year={1994},
  volume={74 1},
  pages={
          1-47
        }
}
In this review we examined the emerging science of deterministic chaos (nonlinear systems theory) and its application to selected physiological systems. Although many of the popular images of fractals represent fascination and beauty that by analogy corresponds to nature as we see it, the question remains as to its ultimate meaning for physiological processes. It was our intent to help clarify this somewhat popular, somewhat obscure area of nonlinear dynamics in the context of an ever-changing… 
Chaos in Biochemistry and Physiology
TLDR
Chaos as an emergent phenomenon in complex, self-organizing systems, belongs with fractals, critical phenomena, and network topology and dynamics, to the group of concepts that, when integrated with Systems Biology, constitute the core of the Complex Systems Approach developed in this chapter.
Fractals, chaos, and cancer: do they coincide?
TLDR
This work attempts to interpret carcinogenesis in a chaodynamic manner at the cellular and the tissue level and presents fractal properties of tumor features well known in pathology.
CHAOS: ITS SIGNIFICANCE AND DETECTION IN BIOLOGY
Abstract Chaos is a mechanism which can generate random‐looking time series from simple deterministic systems. We outline the idea of deterministic chaos and discuss some biological examples where
Is there chaos in the brain? II. Experimental evidence and related models.
Low-dimensional Chaos in Biological Systems
TLDR
The importance of biological chaos is that the variables governing the spatial and temporal geometries of the system may be few in number, fractional in dimension, and thus enable low-energy control with complex deterministic consequences.
Controlling dynamics in spatially extended systems.
  • N. Parekh, S. Sinha
  • Biology, Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2002
TLDR
A simple and general method that can be used to target the spatiotemporal dynamics, both globally and in spatially localized regions, in either direction by simply changing the strength and the sign of an externally applied perturbation or pinning is proposed.
■ REVIEW : Chaos Theory and Epilepsy
Recently, interest has turned to the mathematical concept of chaos as an explanation for a variety of complex processes in nature. Chaotic systems, among other characteristics, can produce what
Multiscale modeling of brain dynamics depends upon approximations at each scale
TLDR
New findings that show that macroscopic electrocorticographic simulations can account for synchronous multiunit pulse oscillations at separate, simultaneously activated cortical sites and the associated gamma-band ECoG activity are outlined.
HISTOLOGICAL GLOMERULAR PATTERNS AS CHAOTIC ATTRACTORS
These systems are known for the lineal proportionality they keep between cause and effect. The magnitude of the response depends on the same magnitude of the stimulus so that little causes correspond
Chaos Theory and Epilepsy
Recently, interest has turned to the mathematical concept of chaos as an explanation for a variety of complex processes in nature. Chaotic systems, among other characteristics, can produce what
...
...

References

SHOWING 1-10 OF 24 REFERENCES
Variability and Chaos: Neurointegrative Principles in Self-Organization of Motor Patterns
TLDR
The role of sensory feedback in the production of adaptive behavior of animals as they interact with complex and often unpredictable environments is discussed, and the chaotic neural activity provides a means for the nervous system to create informational space rendering animals more stably adaptable in such changing environments.
Filtered noise can mimic low-dimensional chaotic attractors.
  • Rapp, Albano, Schmah, Farwell
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1993
TLDR
Calculations indicate that Grassberger-Procaccia results must be interpreted with far greater circumspection than has previously been the case, and that the algorithm should be used in combination with additional procedures such as calculations with surrogate data.
Instability of Harmonic Responses of Onchidium Pacemaker Neuron
Three kinds of chaotic responses of Onchidium pacemaker neuron to a sinusoidal current stimulation have been classified by means of stroboscopic mapping. The map, however, failed to show that the
Phase-locked rhythms in periodically stimulated heart cell aggregates.
TLDR
A simple classification scheme is presented that predicts the order of appearance of all the classes of rhythms experimentally observed as one changes the stimulation frequency and it is proposed that this scheme can be used generally to describe the behavior of other biological oscillators.
The EEG is not a simple noise: strange attractors in intracranial structures
TLDR
It is assumed that regular patterns of the EEG reflect coherent states of the brain during which cognitive and sensory inputs are processed and that the EEG should not be considered as a noisy signal.
Simple mathematical models with very complicated dynamics
TLDR
This is an interpretive review of first-order difference equations, which can exhibit a surprising array of dynamical behaviour, from stable points, to a bifurcating hierarchy of stable cycles, to apparently random fluctuations.
Central beta-adrenergic mechanisms may modulate ischemic ventricular fibrillation in pigs.
TLDR
The reduced vulnerability to ischemia-induced VF after intracerebroventricular administration of propranolol is due to alteration of a central beta-adrenergic receptor-mediated phenomenon as opposed to an effect on the heart directly or to nonspecific membrane stabilization.
...
...