High-gain nonlinear observers occur in the nonlinear automatic control theory and are in standard usage in chemical engineering processes. We apply such a type of analysis in the context of a very simple one-gene regulation circuit. In general, an observer combines an analytical...

We study the problem of finding necessary and sufficient conditions that guarantee global uniqueness of equilibria in a pure exchange economy. We show that for every economy to have a unique equilibrium it is necessary and sufficient that (i) there are no critical economies and (ii) a compact...

Purpose The purpose of this paper is to present a clear path to securitize the longevity risk with two distinct swaps in order to inspire a new Chinese life market. Design/methodology/approach Studies on longevity risk securitization consist of three aspects, respectively, instrument design,...

It is claimed that a set of 62 known (Illert, 2003) ancient Aboriginal words constitute a representative sample of the original proto-Australian lexicon whose maximum likelihood (Fisher, 1912) 'power law signature' is determined and shown to precisely fit genetically related 'modern' lexicons...

Half a century ago Strehler and Mildvan (1960) have published the seminal paper that, based on some assumptions (postulates), theoretically ‘justified’ the Gompertz law of mortality. It also defined the, so called, Srehler-Mildvan correlation between the parameters of the Gompertz...

There are many theories of mortality, but no consensus even on the basic problem: is it genetically determined? In a general case, the problem is mathematically unsolvable. Yet, in the case of mortality, a physical approach yields its universal law. The law predicts, e.g., that mortality and...

A macroscopic approach to the tumor Gompertzian growth is proposed and successfully applied to the multicellular tumor spheroid data. It is based on the energetic balance among the different cell activities, related to the growth inhibitor factors. The main results can also be described by...

The accounts of medical trials provide very detailed information about the patients’ health conditions. On the contrary, almost no vital data such as marital status or age distribution are usually given. Yet, some of these factors can have a notable impact on the overall death rate, thereby...

Mortality deceleration is the observed but yet to be understood phenomenon that the increase in the late-life death rate slows down after a certain species-related advanced age. Various definitions of onsets of mortality deceleration are examined. A new distribution based on the Strehler-Mildvan...