A note on a new class of generalized Pearson distribution arising from Michaelis-Menten function of enzyme kinetics

  • Authors

    • Mohammad Shakil Professor, Department of Mathematics, Miami Dade College, Hialeah Campus, 1800 West 49th Street, Suite 4311-4, Fl. 33012, USA
    • Jai Narain Singh Professor, Department of Mathematics and Computer Science Barry University, Miami Shores, Fl., USA
    2015-01-02
    https://doi.org/10.14419/ijasp.v3i1.4060
  • Enzyme Kinetics, Generalized Pearson Differential Equation, Generalized Pearson System of Probability Distributions, Michaelis-Menten Function.

  • Abstract

    Many problems of enzyme kinetics can be described by a function known as the Michaelis-Menten (M-M) function. In this paper, motivated by the importance of Michaelis-Menten function in biochemistry and other biological phenomena, we have introduced a new class of generalized Pearson distribution arising from Michaelis-Menten function. Various properties of this distribution are derived, for example, its probability density function (pdf), cumulative distribution function (cdf), moment, entropy function, and relationships with some well-known continuous probability distributions. The graphs of the pdf and cdf of our new distribution are provided for some selected values of the parameters. It is observed that our new distribution is positively skewed and unimodal. We hope that the findings of this paper will be useful in many applied research problems.

     2000 Mathematics Subject Classification: 60E05, 62E10, 62E15.

    Author Biography

    • Mohammad Shakil, Professor, Department of Mathematics, Miami Dade College, Hialeah Campus, 1800 West 49th Street, Suite 4311-4, Fl. 33012, USA
      Department of Mathematics (LAS), Professor

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  • Received date: 2014-12-22

    Accepted date: 2014-12-26

    Published date: 2015-01-02