Feedback relationships-a neglected theme in physics

Šrobár, F.

doi:10.1088/0143-0807/13/1/001

Cited by 17 publications

(4 citation statements)

References 7 publications

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“…Following the general procedure described in Sˇroba´r (1992), we choose s, s 1 , s 2 , n 1 , and n 2 as the leading variables of the model to which diagram vertices are allotted, and differentiate (2) and (3) with respect to them. The resulting system of differential equations is represented by diagram in Figure 2, which corresponds to situation in which an increment ds is injected in the input port s and the corresponding change dn 1 is monitored at the output port n 1 .…”

Section: Fro¨hlich Model With Depleted Pumping Of Individual Modesmentioning

confidence: 99%

“…In earlier work (Sˇroba´r and Pokorny´, 1999), we investigated properties of Fro¨hlich systems consisting of two and three coupled oscillating modes. Diagrammatic representation (Sˇroba´r, 1992) of stationary rate equations was employed to bring to light certain qualitative aspects of (1), in particular the presence of feedback loops. (The basic convention associates diagram x !…”

Section: Introductionmentioning

confidence: 99%

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Occupation-Dependent Access to Metabolic Energy in Fröhlich Systems

Šrobár

2009

Electromagnetic Biology and Medicine

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Fröhlich systems model ensembles of electromagnetic-radiation-emitting molecular oscillators residing inside biological cells. The core piece of this theory are rate equations for the quantum-mechanical occupation numbers of the collective oscillation modes that take into account the flow of metabolic energy through the ensemble. In continuation of prior study of feedback patterns implicit in this model, oriented multigraphs representation is used to investigate the case when the pumping source-in analogy with the effect of spectral hole burning in injection lasers-exhibits depletion phenomena dependent on occupation numbers and the eigenfrequencies of the modes. As a result, in comparison with the case when all modes have equal access to pumping source, the onset of energy condensation in the fundamental mode is shifted to higher pumping levels and new feedback loops appear in the representative diagram. The modified theory provides a more realistic description of electromagnetic emission in biological cells.

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Section: Fro¨hlich Model With Depleted Pumping Of Individual Modesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Occupation-Dependent Access to Metabolic Energy in Fröhlich Systems

Šrobár

2009

Electromagnetic Biology and Medicine

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“…After some algebra and diagram building [7], we get the diagram shown in Fig. 1 with the transmission function between vertices k f and c…”

Section: The Model and Its Diagrammatical Analysismentioning

confidence: 99%

“…Both are addressed here in a peculiar way afforded by the use of a specific mathematical tool-the causal diagrams (a version of the signal flow graphs, see Ref. [7]). …”

Section: Introductionmentioning

confidence: 99%