In [ 33], Curti et al apply the ideas presented in [ 34] to the π calculus models of biological systems where the causality information on the modeled system is retrieved by labeling the syntax tree of the process expressions.
In this paper, a simplified calculus model for the prediction of the compressive response of RC column footing with a square cross-section is presented.
The translation of the pi-calculus model to a continuous time Markov chain is standard [ 12].
In the implementation of the smaller pi-calculus model, parts of the pathway that are not represented in the diagram were removed through complete inhibition.
The widespread applications of fractional calculus modeling techniques in several disciplines of applied and technical sciences have played a key role in the popularity of the subject.
The recent trend in the mathematical modeling of several phenomena indicates the popularity of fractional calculus modeling tools due to the nonlocal characteristic of fractional-order differential and integral operators, which are capable of tracing the past history of many materials and processes; see, for instance, [1 13] and the references therein.
Simulation of the reduced pi-calculus model showed attenuation of the signal response in the Grb module, specifically, we observed no activation signal at the (EGF- EGFR* 2-GAP-Shc*-Grb2-Sos and (EGFR* 2-GAP-Shc*-Grb2-Sos complEGFR* 2-GAP-Shc*-Grb2-Sos.
In the stochastic pi-calculus model, the dynamics of a component is described by the inputs and outputs of a process acting on communication channels.
Very high consistency between estimated and experimental results fully confirm suitability of the proposed approach and thus applicability of the fractional calculus to modelling of supercapacitor energy storage.
Furthermore, the modular structure of the biological system and the pi-calculus model are in direct correspondence.
