Fractal Analysis on Human Colonic Pressure Activities based on the Box-counting Method
The colonic tissue is a complicated dynamic system
and the colonic activities it generates are composed of irregular
segmental waves, which are referred to as erratic fluctuations or spikes.
They are also highly irregular with subunit fractal structure. The
traditional time-frequency domain statistics like the averaged
amplitude, the motility index and the power spectrum, etc. are
insufficient to describe such fluctuations. Thus the fractal
box-counting dimension is proposed and the fractal scaling behaviors
of the human colonic pressure activities under the physiological
conditions are studied. It is shown that the dimension of the resting
activity is smaller than that of the normal one, whereas the clipped
version, which corresponds to the activity of the constipation patient,
shows with higher fractal dimension. It may indicate a practical
application to assess the colonic motility, which is often indicated by
the colonic pressure activity.
[1] W.X Wang, G.Z. Yan, et al., "A non-invasive method for gastrointestinal
parameter monitoring," World Journal of Gastroenterology, vol.11, no.4,
pp.521-524, 2005.
[2] P.P. Jiang, G.Z Yang, et al., "Researches on a telemetry system for
gastrointestinal motility monitoring," in The International Symposium on
Micromechatronics and Human Science, 2003.
[3] R.G Yan, G.Z Yan, W.Q Zhang, L. Wang, "Long-range correlations in
human colonic pressure activity," in The 5th International Workshop on
Biosignal Interpretation, Tokyo, Japan, 2005.
[4] R.G. Yan, G.Z. Yan, L. Wang, "Nonlinear Chaotic Behaviours of Human
Colonic Pressure Activity Based on Chaotic Theory," WSEAS
Transactions on biology and biomedicine, vol.2, no.4, pp.343-350, 2005.
[5] R.G. Yan, G.Z. Yan, L. Wang, "Nonlinear chaotic analysis of human
colonic pressure activity," in The 2005 WSEAS international conference
on biophysics and bioengineering, Athens, Greece, 2005.
[6] A.L. Goldberger, L.A.N. Amaral, J.M. Hausdorff, P.C. Ivanov, C.K. Peng
and H.E. Stanley, "Fractal dynamics in physiology: alterations with
disease and aging," in Proceedings of the National Academy of Sciences
of the United States of America, vol.99, suppl.1, pp.2466-2472, 2002.
[7] http://www.dchaos.com/portfolio/dchaos1/new_nonlinear_man_article.h
tml.
[8] http://www.ortho.lsuhsc.edu/Faculty/Marino/Temple/Temple.html.
[9] http://www.math.sunysb.edu/~scott/Book331/Fractal_Dimension.html
[10] Rasband, S. N. "Fractal Dimension." Ch. 4 in Chaotic Dynamics of
Nonlinear Systems. New York: Wiley, pp. 71-83, 1990.
[11] B.B. Mandelbrot, The Fractal Geometry of Nature, San Francisco:
Freeman, 1982.
[12] A. Bunde, S. Havlin, Fractals and Disordered Systems, Springer Verlag,
Berlin, Heidelberg, 1991.
[13] http://astronomy.swin.edu.au/~pbourke/fractals/fracdim/
[14] C. Liu, L.D. Blumhardt, "Disability outcome measures in therapeutic
trials of relapsing-remitting multiple sclerosis: effects of heterogeneity of
disease course in placebo cohorts," J Neurol Neurosurg Psychiatry,
vol.68, no.4, pp.450-457, 2000.
[1] W.X Wang, G.Z. Yan, et al., "A non-invasive method for gastrointestinal
parameter monitoring," World Journal of Gastroenterology, vol.11, no.4,
pp.521-524, 2005.
[2] P.P. Jiang, G.Z Yang, et al., "Researches on a telemetry system for
gastrointestinal motility monitoring," in The International Symposium on
Micromechatronics and Human Science, 2003.
[3] R.G Yan, G.Z Yan, W.Q Zhang, L. Wang, "Long-range correlations in
human colonic pressure activity," in The 5th International Workshop on
Biosignal Interpretation, Tokyo, Japan, 2005.
[4] R.G. Yan, G.Z. Yan, L. Wang, "Nonlinear Chaotic Behaviours of Human
Colonic Pressure Activity Based on Chaotic Theory," WSEAS
Transactions on biology and biomedicine, vol.2, no.4, pp.343-350, 2005.
[5] R.G. Yan, G.Z. Yan, L. Wang, "Nonlinear chaotic analysis of human
colonic pressure activity," in The 2005 WSEAS international conference
on biophysics and bioengineering, Athens, Greece, 2005.
[6] A.L. Goldberger, L.A.N. Amaral, J.M. Hausdorff, P.C. Ivanov, C.K. Peng
and H.E. Stanley, "Fractal dynamics in physiology: alterations with
disease and aging," in Proceedings of the National Academy of Sciences
of the United States of America, vol.99, suppl.1, pp.2466-2472, 2002.
[7] http://www.dchaos.com/portfolio/dchaos1/new_nonlinear_man_article.h
tml.
[8] http://www.ortho.lsuhsc.edu/Faculty/Marino/Temple/Temple.html.
[9] http://www.math.sunysb.edu/~scott/Book331/Fractal_Dimension.html
[10] Rasband, S. N. "Fractal Dimension." Ch. 4 in Chaotic Dynamics of
Nonlinear Systems. New York: Wiley, pp. 71-83, 1990.
[11] B.B. Mandelbrot, The Fractal Geometry of Nature, San Francisco:
Freeman, 1982.
[12] A. Bunde, S. Havlin, Fractals and Disordered Systems, Springer Verlag,
Berlin, Heidelberg, 1991.
[13] http://astronomy.swin.edu.au/~pbourke/fractals/fracdim/
[14] C. Liu, L.D. Blumhardt, "Disability outcome measures in therapeutic
trials of relapsing-remitting multiple sclerosis: effects of heterogeneity of
disease course in placebo cohorts," J Neurol Neurosurg Psychiatry,
vol.68, no.4, pp.450-457, 2000.
@article{"International Journal of Medical, Medicine and Health Sciences:57969", author = "Rongguo Yan and Guozheng Yan and Banghua Yang", title = "Fractal Analysis on Human Colonic Pressure Activities based on the Box-counting Method", abstract = "The colonic tissue is a complicated dynamic system
and the colonic activities it generates are composed of irregular
segmental waves, which are referred to as erratic fluctuations or spikes.
They are also highly irregular with subunit fractal structure. The
traditional time-frequency domain statistics like the averaged
amplitude, the motility index and the power spectrum, etc. are
insufficient to describe such fluctuations. Thus the fractal
box-counting dimension is proposed and the fractal scaling behaviors
of the human colonic pressure activities under the physiological
conditions are studied. It is shown that the dimension of the resting
activity is smaller than that of the normal one, whereas the clipped
version, which corresponds to the activity of the constipation patient,
shows with higher fractal dimension. It may indicate a practical
application to assess the colonic motility, which is often indicated by
the colonic pressure activity.", keywords = "Colonic pressure activity, erratic fluctuations, fractal
dimension and spikes.", volume = "1", number = "11", pages = "589-4", }