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Reaction Systems and Enabling Equivalence

Kleijn Jetty, Koutny Maciej, Mikulski Łukasz

Fundamenta Informaticae

2020

Vol. 171, nr 1-4

261--277

Reaction systems were introduced in order to provide an abstract model for the study of the biochemical processes that take place in the living cell. Processes of this kind are the result of the interactions between reactions and may be influenced by the environment. Thus, reaction systems can be considered as a model of (interactive) computation. In previous works, various equivalences defined directly on reaction systems and processes had been proposed and compared. These equivalences were all based on functional equivalence that compares a system’s behaviour at every stage of its execution. In this paper, in contrast, we investigate enabling equivalence which focuses on the system behaviour only in specific stages of its evolution, namely those where all of its reactions are active. We discuss the effect of such an approach and, in particular, its relationship to a transition system representation of the system’s behaviour.

Introducing a failure criteria for a living cell during microinjection

Chizari M., Wang B., Barret M.

Zeszyty Naukowe Politechniki Rzeszowskiej. Mechanika

2008

z. 73 [253]

55-63

This paper presents finite element modelling of the deformation of a detached living cell subjected to microinjection and through the simulation, an investigation of the material properties of the cell components. The model is verified using images of the deformed cell as well as the measured penetration forces in the tests reported in open literature. It is hoped that the modelling in this context will help to quantitatively evaluate the mechanical properties of the cells, and in particular, the failure strain of the cell cortex, when penetration occurs.