Computerized Medical Imaging and Graphics
Volume 32, Issue 7 , Pages 631-637, October 2008

Modelling of chromatin morphologies in breast cancer cells undergoing apoptosis using generalized Cauchy field

  • S.V. Muniandy

      Affiliations

    • Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia
    • Department of Biomedical Sciences, Faculty of Medicine and Health Sciences, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia
    • Corresponding Author InformationCorresponding author at: Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia.
    • ,
  • J. Stanslas

      Affiliations

    • Department of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia
    • Department of Biomedical Sciences, Faculty of Medicine and Health Sciences, Universiti Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia

Received 14 February 2008; received in revised form 5 July 2008; accepted 14 July 2008.

Abstract 

Chromatin morphologies in human breast cancer cells treated with an anti-cancer agent are analyzed at their early stage of programmed cell death or apoptosis. The gray-level images of nuclear chromatin are modelled as random fields. We used two-dimensional isotropic generalized Cauchy field to characterize local self-similarity and global long-range dependence behaviors in the image spatial data. Generalized Cauchy field allows the description of fractal behavior inferred from fractal dimension and the long-range dependence inferred from correlation exponent to be carried out independently. We demonstrated the usefulness of locally self-similar random fields with long-range dependence for modelling chromatin condensation.

Keywords: Locally self-similar processes, Fractal dimension, Long-range dependence, Apoptosis, Morphology

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PII: S0895-6111(08)00077-3

doi:10.1016/j.compmedimag.2008.07.003

Computerized Medical Imaging and Graphics
Volume 32, Issue 7 , Pages 631-637, October 2008

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