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Chung, S.J. (1989) Computer-assisted mathematical relationship among electroshock voltage and duration and occurrence of convulsion in mice. Computer Methods and Programs in Biomedicine, 28, 23-30. doi:org/10.1016/0169-2607(89)90177-6

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• TITLE: Computer program of nonlinear, curved regression for ‘probacent’-probability equation in biomedicine

  AUTHORS: Sung Jang Chung

  KEYWORDS: Linear Regression; Curved Regression; Least Sum of Squares; Least Maximum-Difference; ‘Probacent’-Probability Equation; Computer Program of Curved Regression; Survival Probability Equation; Death Rate Equation; Mortality Probability; Human Tolerance to Radiation

  JOURNAL NAME: Journal of Biomedical Science and Engineering, Vol.4 No.9, September 30, 2011

  ABSTRACT: On the basis of experimental observations on animals, applications to clinical data on patients and theoretical statistical reasoning, the author developed a com-puter-assisted general mathematical model of the ‘probacent’-probability equation, Equation (1) and death rate (mortality probability) equation, Equation (2) derivable from Equation (1) that may be applica-ble as a general approximation method to make use-ful predictions of probable outcomes in a variety of biomedical phenomena [1-4]. Equations (1) and (2) contain a constant, γ and c, respectively. In the pre-vious studies, the author used the least maximum- difference principle to determine these constants that were expected to best fit reported data, minimizing the deviation. In this study, the author uses the method of computer-assisted least sum of squares to determine the constants, γ and c in constructing the ‘probacent’-related formulas best fitting the NCHS- reported data on survival probabilities and death rates in the US total adult population for 2001. The results of this study reveal that the method of com-puter-assisted mathematical analysis with the least sum of squares seems to be simple, more accurate, convenient and preferable than the previously used least maximum-difference principle, and better fit-ting the NCHS-reported data on survival probabili-ties and death rates in the US total adult population. The computer program of curved regression for the ‘probacent’-probability and death rate equations may be helpful in research in biomedicine.