Topology of mutual relationships implicit in the Fröhlich model

Šrobár, F.; Pokomý, Jiří

doi:10.1016/0302-4598(96)01923-x

Cited by 12 publications

(6 citation statements)

References 3 publications

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“…Excitation depends on the amount of energy supplied to the system, but not on the manner of its supply [25]. Analysis of the feedback loops in Fröhlich's system can determine excitation as a function of the intensity of pumping which need not be a linear function [26,27]. Electron charge on delocalized orbitals may be important for the Fröhlich's mechanism.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Field of Microtubules: Effects on Transfer of Mass Particles and Electrons

2005

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Abstract. Biological polar molecules and polymer structures with energy supply (such as microtubules in the cytoskeleton) can get excited and generate an endogenous electromagnetic field with strong electrical component in their vicinity. The endogenous electrical fields through action on charges, on dipoles and multipoles, and through polarization (causing dielectrophoretic effect) exert forces and can drive charges and particles in the cell. The transport of mass particles and electrons is analyzed as a Wiener-Lévy process with inclusion of deterministic force (validity of the Bloch theorem is assumed for transport of electrons in molecular chains too). We compare transport driven by deterministic forces (together with an inseparable thermal component) with that driven thermally and evaluate the probability to reach the target. Deterministic forces can transport particles and electrons with higher probability than forces of thermal origin only. The effect of deterministic forces on directed transport is dominant.

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Section: Introductionmentioning

confidence: 99%

Electromagnetic Field of Microtubules: Effects on Transfer of Mass Particles and Electrons

2005

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“…Feedback mechanisms operate also on the level of intracellular generators of electromagnetic radiation [9,10]. This activity is supported by the polar molecular structures within the cell (like microtubule filaments) or the cell membrane and is driven by the cell's energy sources (GTP or ATP hydrolysis).…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Feedback loops in the signal paths controlling gene expression

Šrobár

2004

Bioelectrochemistry

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“…The first 2 loops are new additions with reference to the case of full access of individual modes to the pumping source (s i = s, edges n 1 s 1 and n 2 s 2 are missing) studied earlier [2,3]. Transmission function of the whole diagram between vertices s and n 1 determines the differential equation of the input-output characteristic, n 1 versus s:…”

Section: Modified Kinetic Equations For the Case Of Two Modes And Thementioning

confidence: 99%

“…(Symbols h, k, and T have their usual meanings.) In our previous work [2,3], we studied the causal structure of Eq. (1) and quantitatively described the feedback relationships implicit in these equations using diagrammatic representation described in [4].…”

Section: Introductionmentioning

confidence: 99%

Fröhlich System with Modulated Access to Pumping Source

Šrobár

2005

Electromagnetic Biology and Medicine

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Vibrating polar molecular entities in biological cell's interior can emit electromagnetic radiation. Fröhlich postulated rate equations for occupancy numbers, n i , of the vibration modes which can be written asṅ i = s i − ṅ i − ṅ i n i n j X , where, on the right side, the first term represents the rate of change of the occupancy number due to energy supply, the second due to linear, and the third due to nonlinear interactions with the heat bath. In previous work, we applied a diagrammatic method to bring out the feedback features of this model in the case when all modes have equal access to the pumping source. This approach is generalized by assuming that modal pumping rates are dependent on occupation numbers according to formula s i = sn i / n i + a i (a i being a constant), which expresses the idea that oscillators first must be primed in order to absorb the available energy in full extent. Results suggest marked differences in behavior of oscillators with different frequencies.

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Topology of mutual relationships implicit in the Fröhlich model

Cited by 12 publications

References 3 publications

Electromagnetic Field of Microtubules: Effects on Transfer of Mass Particles and Electrons

Electromagnetic Field of Microtubules: Effects on Transfer of Mass Particles and Electrons

Feedback loops in the signal paths controlling gene expression

Fröhlich System with Modulated Access to Pumping Source

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