FRACTAL DIMENSION OF THE RESISTANT AND SENSITIVE TO DOXORUBICIN BREAST CANCER CELLS, EXPOSED IN THE MAGNETIC FIELD

Authors

  • Oksana Gorobets National Technical University of Ukraine “Kyiv Polytechnic Institute”
  • Svitlana Gorobets National Technical University of Ukraine “Kyiv Polytechnic Institute”
  • Vasyl Chekhun R. E. Kavetsky Institute of Experimental Pathology, Oncology and Radiobiology, Kyiv, Ukraine
  • Oleksandr Medviediev National Technical University of Ukraine “Kyiv Polytechnic Institute”
  • Oleksandr Berezin National Technical University of Ukraine “Kyiv Polytechnic Institute”
  • Oleksandr Garkavenko National Technical University of Ukraine “Kyiv Polytechnic Institute”

DOI:

https://doi.org/10.18372/2306-1472.65.9857

Keywords:

atomic force microscopy, fractal dimension, doxorubicin, magnetic force microscopy, magnetic field, resistant and sensitive MCF-line breast cancer cells

Abstract

In this paper the fractal dimension of the resistant and sensitive to doxorubicin MCF-line breast cancer cells, exposed in the magnetic field, is examined. It is revealed, that the resistant and sensitive to doxorubicin MCF-line breast cancer cells have different value ranges of the fractal dimension. Thereby, the main purpose of the present research is to check the possibility of using the fractal dimension as a marker for sensitivity determining of MCF-line breast cancer cells, exposed in the magnetic field.

Author Biographies

Oksana Gorobets, National Technical University of Ukraine “Kyiv Polytechnic Institute”

Gorobets Oksana. Doctor of Physical and Mathematical Sciences. Professor.
Faculty of Physics and Mathematics, National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kyiv,
Ukraine.
Research area: bioinformatics.

Svitlana Gorobets, National Technical University of Ukraine “Kyiv Polytechnic Institute”

Gorobets Svitlana. Doctor of Technical Sciences. Professor.
Faculty of Biotechnology and Biotechnics, National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kyiv, Ukraine.
Research area: bioinformatics.

Vasyl Chekhun, R. E. Kavetsky Institute of Experimental Pathology, Oncology and Radiobiology, Kyiv, Ukraine

Chekhun Vasyl. Academician of NAS of Ukraine. Doctor of Medical Sciences. Professor.
Director of the R.E. Kavetsky Institute of Experimental Pathology, Oncology and Radiobiology, NAS of Ukraine, Kyiv, Ukraine.
Research area: study of molecular mechanisms of natural and acquired resistance of tumor cells in vitro and in vivo.

Oleksandr Medviediev, National Technical University of Ukraine “Kyiv Polytechnic Institute”

Medviediev Oleksandr. Graduate student.
Faculty of Biotechnology and Biotechnics, National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kyiv, Ukraine.
Research area: bioinformatics.

Oleksandr Berezin, National Technical University of Ukraine “Kyiv Polytechnic Institute”

Berezin Oleksandr. Student.
Faculty of Biotechnology and Biotechnics, National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kyiv, Ukraine.
Research area: molecular biotechnology.

Oleksandr Garkavenko, National Technical University of Ukraine “Kyiv Polytechnic Institute”

Garkavenko Oleksandr. Student.
Faculty of Biotechnology and Biotechnics, National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kyiv, Ukraine.
Research area: molecular biotechnology.

References

Mandelbrot, B. The Fractal Geometry of Nature // San Francisco: Freeman, - 1992.

Feder E. Fractals // Moscow: Mir, – 1991. (In Russian)

Weibel E.R. Fractal geometry – a design principle for living organisms // Amer. J. Physiol. 1991. V. 261. N 6. P. 361-369.

Weibel E.R. Design of biological organisms and fractal geometry // Fractal in biology and medicine / Eds Nonnenmacher T.F., Losa G.A., Weibel E.R. Basel e a.: Birkhäuser. 1994. 68-85.

Smith T.G., Lange G.D., Marks W.B. Fractal methods and results in cellular biology – dimensions, lacunarity and multifractals // J. Neurosci. Meth. 1996. P. 123–136.

Naeim F., Moatamed F., Sahimi M. Morphogenesis o the bone marrow: fractal structures and diffusion-limited growth // Blood. 1996. V. 87. N 12. P. 5027-5031.

Dokukin M.E., Guz N.V., Gaikwad R.M., Woodworth C.D. Cell surface as a fractal: normal and cancerous cervical cells demonstrate different fractal behaviour of surface adhesion maps at the nanoscale // Phys. Rev. Lett. – 2011. – P. 107.

Klein K., Maier T., Hirschfeld-Warneken V. Marker-Free Phenotyping of Tumor Cells by Fractal Analysis of Reflection Interference Contrast Microscopy Images // Nano Lett. – Electronic data. – 2013. – V. 13 (11). – P. 5474–5479.

Brayfield, A, ed. (19 December 2013). "Doxorubicin". Martindale: The Complete Drug Reference. Pharmaceutical Press. Retrieved 15 April 2014.

Tacar O., Sriamornsak P., Dass C. Doxorubicin: an update on anticancer molecular action, toxicity and novel drug delivery systems // The Journal of Pharmacy and Pharmacology, – 2013, – V. 65 (2), – P. 157–70.

Baumann G., Barth A. Nonnenmacher T. Measuring Fractal Dimensions of Cell Contours: Practical Approaches and their Limitations // Fractals in biology and medicine, – 1994. – P. 182–189.

Losa G. A. Fractal Properties of Pericellular Membrane from Lymphocytes and Leukemic Cells // Fractals in biology and medicine, – 1994. – P. 190–200.

Multi-fractal nature of human left ventricular trabeculae: Possible biomechanical role? / B. Moore, Lakshmi Prasad Dasi // Chaos, Solitons & Fractals. – 2013. – V.57, P. 19–23.

Fractal dimension as a new tool to analyze optic nerve head vasculature in primary open angle glaucoma / Ciancaglini M., Guerra G., Agnifili L. // In Vivo. – 2015. – V. 29 (2), – P. 27-39.

Geometric complexity identifies platelet activation in familial hypercholesterolemic patients / Bianciardi G., Aglianò M., Volpi N. // Microsc. Res. Tech. – 2015. – V.78 (6):519–22.

Gorobets Yu. I., Kuchko A.M., Vavilova I.B. Fractal geometry in natural science. – Kyiv: Naukova Dumka, 2008. – P. 232. (In Ukrainian).

Published

01-02-2016

How to Cite

Gorobets, O., Gorobets, S., Chekhun, V., Medviediev, O., Berezin, O., & Garkavenko, O. (2016). FRACTAL DIMENSION OF THE RESISTANT AND SENSITIVE TO DOXORUBICIN BREAST CANCER CELLS, EXPOSED IN THE MAGNETIC FIELD. Proceedings of National Aviation University, 65(4), 67–71. https://doi.org/10.18372/2306-1472.65.9857

Issue

Section

BIOTECHNOLOGY