| Nonlinear Dynamics, Psychology, and Life Sciences, Vol. 11, Iss. 3, Jul, 2007, pp. 309-331 @2007 Society for Chaos Theory in Psychology & Life Sciences Nonlinear Analysis of Digital Images and Doppler Measurements for Trophoblastic Tumor Abstract: Cancer can be viewed as a complex adaptive system.
Complex adaptive systems can be described mathematically by
nonlinear (chaos) theory including asymmetry, fractal structure
and autocorrelation factor. Taking into consideration spatial
irregularity and heterogeneity of internal structures of tumor
cells, we examined deterministic chaos of trophoblastic tumor for
organ, cellular, molecular levels on digital images and their Doppler
measurements of blood flow. The digital images were tested by evaluation
of contours deformation level and quantitative heterogeneous pattern.
The suggested algorithm for estimation of spatial chaos in digital
medical image is based on calculation of the skew and the spread
parameters, fractal dimension and autocorrelation function. Ultrasound
images demonstrated higher values of the skew parameter for the uterus
of choriocarcinoma patients than hydatidiform mole and healthy
individuals. The registered changes in nonlinear dynamics of uterine
artery blood flow are tending to diminish deterministic chaotic process
in choriocarcinoma. Nonlinear analysis of cell images for chorionic
villi and tumor supressor gene p16 evidenced the tendency of increase
in spatial chaos for patients with choriocarcinoma. The concept of
deterministic chaos is hierarchical for the host during trophoblastic
disease. Keywords: trophoblastic tumor, deterministic chaos, digital image |