The network was drawn according to the recently released Systems Biology Graphical Notation process diagram level 1, 31 which facilitates the communication of knowledge about signal transduction networks.
Moreover, the software enables a user to define and control complex processes as he/she understands it without requiring knowledge of business process notation, process algebra definitions or support of computer experts.
To simplify the notation for the limit process δ → 0 and κ → ∞ (recall that ε remains small but fixed), take k ∈ N, assume κ = k and δ = δ k = k − 1 (5.22).
Here, for simplicity, we omit the notation of ω in each process.
Following the notation of the random tree process in [1], we first define the random sequence {I n } such that (I_{N}^{(i)} mapsto I_{n}left ({b_{1}^{n}} right)), where (I_{n}left ({b_{1}^{n}} right)in { I_{n} }) is represented as (I_{{b_{1}^{n}}}).
By basing itself of this notation, the process of the RWP for a user is defined by an infinite sequence of triplets, begin{aligned} {(P_0, P_1, v_1), (P_1, P_2, v_2 ),ldots,(P_{n-1}, P_n, v_n)} end{aligned}We can note that in the process of the RWP model, the consecutive straight segments of movement are independent because they share a point in common.
Following the notation used to describe the agglomerative process, we have δ t (F, T′)=δ t (F, T)− N− e)+ N+ e), where N+ e) represents the number of times the triplets AB|X induced by e appear in F, and N− e) the number of appearances of their alternative resolutions (i.e. AX|B or BX|A).
The experimental group that applied the GO2S process also received a reference guide with a summary of the activities and the notations used by our process.
The term SSF (the abbreviation SSF is often used also for solid state fermentation) was not used by the authors at the time, but became the common notation for this process within just a few years from the original invention.
