Relaxation distribution function of intracellular dielectric zones as an indicator of tumorous transition of living cells.
The response decay data of living cells subject to electric polarization is associated with their relaxation distribution function (RDF) and can be determined using the inverse Laplace transform method. A new polynomial, involving a series of associated Laguerre polynomials, has been used as the approximating function for evaluating the RDF, with the advantage of avoiding the usual arbitrary trial values of a particular parameter in the numerical computations. Some numerical examples are given, followed by an application to cervical tissue. It is found that the average relaxation time and the peak amplitude of the RDF exhibit higher values for tumorous cells than normal cells and might be used as parameters to differentiate them and their associated tissues.
Thornton
B S
BS
University of Technology, Sydney, School of Mathematical Sciences, NSW, Australia.
Hung
W T
WT
Irving
J
J
D000818:Animals; D002460:Cell Line; D002471:Cell Transformation, Neoplastic; D002584:Cervix Uteri / Q000473:pathology / Q000503:physiopathology; D003593:Cytoplasm / Q000502:physiology; D004553:Electric Conductivity; D005260:Female; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D013059:Spectrum Analysis, Raman; D002583:Uterine Cervical Neoplasms / Q000473:pathology / Q000503:physiopathology