A new approach to living organisms with irreversibly perturbed homeostatis, based on the integrated moving average IMA (0,1,1) and autoregressive‐integrated moving average ARIMA (1,2,1) linear stochastic models of non‐stationary photon emission processes, is proposed. The approach consists of introducing a stochastic formulation of the transfer function and memory functional into a general description of non‐equilibrium states of perturbed organisms. A memory function‐based quantitative measure of perturbed biohomeostasis has also been proposed and discussed.

Measures of biosystem perturbation using a cybernetic approach based on stochastic models of photon emission processes are presented, and compared with classical measures. Perturbation phenomena reflected in non-stationary emission processes are represented by means of filtering theory.

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If you would like to write for this, or any other Emerald publication, then please use our Emerald for Authors service information about how to choose which publication to write for and submission guidelines are available for all. Please visit www.emeraldinsight.com/authors for more information. About Emerald www.emeraldinsight.comEmerald is a global publisher linking research and practice to the benefit of society. The company manages a portfolio of more than 290 journals and over 2,350 books and book series volumes, as well as providing an extensive range of online products and additional customer resources and services.Emerald is both COUNTER 4 and TRANSFER compliant. The organization is a partner of the Committee on Publication Ethics (COPE) and also works with Portico and the LOCKSS initiative for digital archive preservation.Abstract A control of the first-line human defence system, using mechanisms analogous to specific and non-specific (parametric) triggering of phagocytosis, is proposed on the basis of an autocatalytic model of biphasic modulation of phagocyte luminescence by experimental peptide medicines. Properties of the autocatalytic model are described and its catastrophe and bifurcation sets determined. The mechanism analogous to parametric triggering is shown to result from a fold catastrophe produced by the changes in the autocatalytic interaction parameter characterising a given peptide preparation. Usefulness of the model was shown by its application to two distinct peptide preparations having different immunomodulatory properties.

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