New theoretical treatment of ion resonance phenomena

G. Vincze, A. Szász, A. R. Liboff

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

Despite experimental evidence supporting ICR-like interactions in biological systems, to date there is no reasonable theoretical explanation for this phenomenon. The parametric resonance approach introduced by Lednev has enjoyed limited success in predicting the response as a function of the ratio of AC magnetic intensity to that of the DC field, explaining the results in terms of magnetically induced changes in the transition probability of calcium binding states. In the present work, we derive an expression for the velocity of a damped ion with arbitrary q/m under the influence of the Lorentz force. Series solutions to the differential equations reveal transient responses as well as resonance-like terms. One fascinating result is that the expressions for ionic drift velocity include a somewhat similar Bessel function dependence as was previously obtained for the transition probability in parametric resonance. However, in the present work, not only is there an explicit effect due to damping, but the previous Bessel dependence now occurs as a subset of a more general solution, including not only the magnetic field AC/DC ratio as an independent variable, but also the ratio of the cyclotronic frequency Ω to the applied AC frequency ω. In effect, this removes the necessity to explain the ICR interaction as stemming from ion-protein binding sites. We hypothesize that the selectively enhanced drift velocity predicted in this model can explain ICR-like phenomena as resulting from increased interaction probabilities in the vicinity of ion channel gates.

Original languageEnglish
Pages (from-to)380-386
Number of pages7
JournalBioelectromagnetics
Volume29
Issue number5
DOIs
Publication statusPublished - Jul 2008

Fingerprint

Ions
ions
protein binding
ion channels
Magnetic Fields
magnetic fields
Ion Channels
Protein Binding
binding sites
Binding Sites
Calcium
calcium

Keywords

  • Ion cyclotron resonance
  • Ion mobility
  • Parametric resonance
  • Theoretical ICR models

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Biophysics

Cite this

New theoretical treatment of ion resonance phenomena. / Vincze, G.; Szász, A.; Liboff, A. R.

In: Bioelectromagnetics, Vol. 29, No. 5, 07.2008, p. 380-386.

Research output: Contribution to journalArticle

Vincze, G. ; Szász, A. ; Liboff, A. R. / New theoretical treatment of ion resonance phenomena. In: Bioelectromagnetics. 2008 ; Vol. 29, No. 5. pp. 380-386.
@article{cb50200823574a95a98225817da5d10d,
title = "New theoretical treatment of ion resonance phenomena",
abstract = "Despite experimental evidence supporting ICR-like interactions in biological systems, to date there is no reasonable theoretical explanation for this phenomenon. The parametric resonance approach introduced by Lednev has enjoyed limited success in predicting the response as a function of the ratio of AC magnetic intensity to that of the DC field, explaining the results in terms of magnetically induced changes in the transition probability of calcium binding states. In the present work, we derive an expression for the velocity of a damped ion with arbitrary q/m under the influence of the Lorentz force. Series solutions to the differential equations reveal transient responses as well as resonance-like terms. One fascinating result is that the expressions for ionic drift velocity include a somewhat similar Bessel function dependence as was previously obtained for the transition probability in parametric resonance. However, in the present work, not only is there an explicit effect due to damping, but the previous Bessel dependence now occurs as a subset of a more general solution, including not only the magnetic field AC/DC ratio as an independent variable, but also the ratio of the cyclotronic frequency Ω to the applied AC frequency ω. In effect, this removes the necessity to explain the ICR interaction as stemming from ion-protein binding sites. We hypothesize that the selectively enhanced drift velocity predicted in this model can explain ICR-like phenomena as resulting from increased interaction probabilities in the vicinity of ion channel gates.",
keywords = "Ion cyclotron resonance, Ion mobility, Parametric resonance, Theoretical ICR models",
author = "G. Vincze and A. Sz{\'a}sz and Liboff, {A. R.}",
year = "2008",
month = "7",
doi = "10.1002/bem.20406",
language = "English",
volume = "29",
pages = "380--386",
journal = "Bioelectromagnetics",
issn = "0197-8462",
publisher = "Wiley-Liss Inc.",
number = "5",

}

TY - JOUR

T1 - New theoretical treatment of ion resonance phenomena

AU - Vincze, G.

AU - Szász, A.

AU - Liboff, A. R.

PY - 2008/7

Y1 - 2008/7

N2 - Despite experimental evidence supporting ICR-like interactions in biological systems, to date there is no reasonable theoretical explanation for this phenomenon. The parametric resonance approach introduced by Lednev has enjoyed limited success in predicting the response as a function of the ratio of AC magnetic intensity to that of the DC field, explaining the results in terms of magnetically induced changes in the transition probability of calcium binding states. In the present work, we derive an expression for the velocity of a damped ion with arbitrary q/m under the influence of the Lorentz force. Series solutions to the differential equations reveal transient responses as well as resonance-like terms. One fascinating result is that the expressions for ionic drift velocity include a somewhat similar Bessel function dependence as was previously obtained for the transition probability in parametric resonance. However, in the present work, not only is there an explicit effect due to damping, but the previous Bessel dependence now occurs as a subset of a more general solution, including not only the magnetic field AC/DC ratio as an independent variable, but also the ratio of the cyclotronic frequency Ω to the applied AC frequency ω. In effect, this removes the necessity to explain the ICR interaction as stemming from ion-protein binding sites. We hypothesize that the selectively enhanced drift velocity predicted in this model can explain ICR-like phenomena as resulting from increased interaction probabilities in the vicinity of ion channel gates.

AB - Despite experimental evidence supporting ICR-like interactions in biological systems, to date there is no reasonable theoretical explanation for this phenomenon. The parametric resonance approach introduced by Lednev has enjoyed limited success in predicting the response as a function of the ratio of AC magnetic intensity to that of the DC field, explaining the results in terms of magnetically induced changes in the transition probability of calcium binding states. In the present work, we derive an expression for the velocity of a damped ion with arbitrary q/m under the influence of the Lorentz force. Series solutions to the differential equations reveal transient responses as well as resonance-like terms. One fascinating result is that the expressions for ionic drift velocity include a somewhat similar Bessel function dependence as was previously obtained for the transition probability in parametric resonance. However, in the present work, not only is there an explicit effect due to damping, but the previous Bessel dependence now occurs as a subset of a more general solution, including not only the magnetic field AC/DC ratio as an independent variable, but also the ratio of the cyclotronic frequency Ω to the applied AC frequency ω. In effect, this removes the necessity to explain the ICR interaction as stemming from ion-protein binding sites. We hypothesize that the selectively enhanced drift velocity predicted in this model can explain ICR-like phenomena as resulting from increased interaction probabilities in the vicinity of ion channel gates.

KW - Ion cyclotron resonance

KW - Ion mobility

KW - Parametric resonance

KW - Theoretical ICR models

UR - http://www.scopus.com/inward/record.url?scp=45749131070&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=45749131070&partnerID=8YFLogxK

U2 - 10.1002/bem.20406

DO - 10.1002/bem.20406

M3 - Article

C2 - 18288680

AN - SCOPUS:45749131070

VL - 29

SP - 380

EP - 386

JO - Bioelectromagnetics

JF - Bioelectromagnetics

SN - 0197-8462

IS - 5

ER -