Asymptotically Normal Explicit Estimation of Parameters in the Michaelis–menten Equation

where K and V are some unknowns. For example, in study of chemical reactions, equation (1.1) is known as the Michaelis–Menten equation which describes the theoretical interrelation between the speed of reaction v(s) and the amount of reagent s. In this case the parameter V has the meaning of a maximally possible speed of reaction and the parameter K is the value of s for which the speed of reaction is at twice as less than the maximal. In 1913 Michaelis and Menten published their research [1] on this equation, and now they are considered as founders of modern enzymology. The interest in study of this seemingly particular equation is aroused, first of all, by its various applications in practice of natural sciences. By way of example, we mention the article [2] in which the systems that can be described by equation (1.1) are considered in more detail. In this article we deal with the problem of estimation of the unknown parameters K > 0 and V > 0 for the regressive Michaelis–Menten model