Radiation and Environmental Biophysics

, Volume 26, Issue 4, pp 313–317 | Cite as

The Monte Carlo simulation of pearl chain formation

  • P. Marszalek
  • A. Godzik
Short Communication


The phenomenon of pearl chain formation (PCF) is investigated by means of a statistical model using the Monte Carlo method. Fifteen particles (cells) interacting with simple dipole-dipole potential are shown to form chains under the influence of an external field with a threshold potential significantly lower than the two particle estimate. A possible overlap between PCF and the thermal effects of an electric field is suggested.


Statistical Model Monte Carlo Method Thermal Effect External Field Chain Formation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    Chizmadzhev YuA, Kuzmin PI, Pastushenko VPh (1985) Theory of the Dielectrophoresis of Vesicles and Cells. Biol Membrany 2 (No. 11): 1147–1161Google Scholar
  2. 2.
    Furedi AA, Valentine RC (1962) Factors Involved in the Orientation of Microscopic Particles in Suspensions Influenced by Radio Frequency Fields. Biochim Biophys Acta 56:33–42Google Scholar
  3. 3.
    Hu JCh, Barnes FS (1975) A Simplified Theory of Pearl Chain Effects. Radiat Environ Biophys 12:71–76Google Scholar
  4. 4.
    McQuarrie DA (1973) Statistical thermodynamics. Harper and Row, New YorkGoogle Scholar
  5. 5.
    Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E (1953) Equation of State Calculations by Fast Computing Machines. J Chem Phys 21:1087–1092Google Scholar
  6. 6.
    Pohl HA (1978) Dielectrophoresis. Cambridge University Press, CambridgeGoogle Scholar
  7. 7.
    Saito M, Schwan HP (1961) The Time Constants of Pearl Chain Formation. In: Peyton ME (ed) Biological effects of Microwave Radiation, Vol 1, Plenum Publishing Corp, New York, pp 85–98Google Scholar
  8. 8.
    Sauer F (1983) Forces on Suspended Particles in the Electromagnetic Field. In: Kremer F, Frohlich H (eds) Coherent Excitation in Biological Systems. Springer-Verlag, Berlin Heidelberg New York, pp 135–144Google Scholar
  9. 9.
    Sauer F (1985) Interaction Forces Between Microscopic Particles in an External Electromagnetic Field. In: Chiabrera A, Nicolini C, Schwan HP (eds) Interactions Between Electromagnetic Field and Cells. Plenum Publishing Corp, New YorkGoogle Scholar
  10. 10.
    Schwan HP (1982) Nonthermal Cellular Effects of Electromagnetic Fields: AC-Field induced Ponderomotoric Forces. Br J Cancer 45 (Suppl. V):220–224Google Scholar
  11. 11.
    Schwan HP (1983) Biophysics of the Interaction of Electromagnetic Energy with Cells and Membranes. In: Grandolfo M, Michaelson SM, Rindi A (eds) Biological Effects and Dosimetry of Nonionising Radiation. Plenum Publishing Corp, New York, pp 213–231Google Scholar
  12. 12.
    Schwan HP, Sher LD (1969) Alternating-Current Field-Induced Forces and their Biological Implications. J Electrochem Soc 116:170–174Google Scholar
  13. 13.
    Sher LD, Kresch E, Schwan HP (1970) On the Possibility of Nonthermal Biological Effects of Pulsed Electromagnetic Radiation. Biophys J 10:970–979Google Scholar
  14. 14.
    Takashima S, Schwan HP (1985) Alignment of Microscopic Particles in Electric Fields and its Biological Implications. Biophys J 47:513–518Google Scholar
  15. 15.
    Teixeira-Pinto AA, Nejelski LL RR, Cutler JL, Heller JH (1960) The Behavior of Unicellular Organisms in an Electromagnetic Field. Exp Cell Res 20:548–564Google Scholar
  16. 16.
    Zimmermann U (1982) Electric Field-Mediated Fusion and Related Electrical Phenomena. Biochim Biophys Acta 694:227–277Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • P. Marszalek
    • 1
  • A. Godzik
    • 2
  1. 1.Department of Fundamental Research in ElectrotechnicsElectrotechnical Research InstituteWarsawPoland
  2. 2.Department of Biophysics, Institute of Experimental PhysicsUniversity of WarsawWarsawPoland

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