Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 171406, 12 pages.

The Research of the Fractal Nature between Costs and Efficacy in the Brain Vascular Disease

Shuo Sun and Xiaocui Xing

Full-text: Open access

Abstract

Three hundred patients were randomly selected as the research object, of which 150 were on Chinese medical treatment; rehabilitation of 150 people was recorded for each patient before and after treatment by the three outcome measures (Fugle-Meyer baseline, NHISS baseline, and baseline BI), coupled with the treatment process spent in a variety of costs (mainly medicine costs, medicine,laboratory test, treatment, bed, care, diagnosis and examination fees, inspection fees). By combining the meaning of data with its practicality we get the definition of the efficacy. Via using the softwares of Excel, Matlab, and Eviews for data processing and fitting, it can be found that there exsists the fractal nature between efficacy and cost of treatment during the cerebral diseases. Then combined with the fractal theory, the application of chaotic time series, and two Fractal Indexes, the largest Lyapunov exponent and correlation dimension were extracted under two conditions of Chinese medical treatment and rehabilitation, and in the comparison of significance the brain vascular disease in traditional Chinese medicine treatment and rehabilitation was found. There were significant difference in fractal indicators of the time series of effective unit cost. At the same time, there were similar significant differences in the three outcome measures. This paper studied the fractal nature of cerebrovascular disease between the efficacy and cost and draw some fractal relationships and conclusions, so as to find better medical treatment to provide a theoretical basis for the hope of the treatment of cerebral vascular disease to provide some valuable reference.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 171406, 12 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357180313

Digital Object Identifier
doi:10.1155/2012/171406

Mathematical Reviews number (MathSciNet)
MR2927248

Zentralblatt MATH identifier
1244.92035

Citation

Sun, Shuo; Xing, Xiaocui. The Research of the Fractal Nature between Costs and Efficacy in the Brain Vascular Disease. J. Appl. Math. 2012, Special Issue (2012), Article ID 171406, 12 pages. doi:10.1155/2012/171406. https://projecteuclid.org/euclid.jam/1357180313


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