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The topology (Figure 1 in [2]) consists of one transcriptional positive feedback loop containing a delayed interaction (with a fixed time delay of 100 minutes) and two negative feedback loops.
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While some genes interact almost instantaneously, other genes could have time delayed interactions (see Figure 1).
This paper presents a minimal-neural-networks-based design approach for the decentralized output-feedback tracking of uncertain interconnected strict-feedback nonlinear systems with unknown time-varying delayed interactions unmatched in control inputs.
Using Lyapunov stability theorem and the performance function technique, it is shown that all signals of the total controlled closed-loop system are bounded and the transient and steady-state performance bounds of local tracking errors can be preselected by adjusting design parameters independent of delayed interactions.
It has also been made clear that ingredients such as disorder (the diversity of neurons and the structure of connections) are very important in determining the asymptotic behaviour, as well as the possible presence of delayed interactions and plasticity [5, 6].
Our method also detects many long-time delayed interactions.
This will effectively enable this model to capture at most d-step time delayed interactions.
The Viterbi shortest path allowed us to choose between time delayed interactions of two genes of same and different time delays.
Time delayed interactions in predicted DBN, HDBN, and skip-chain: (n) denotes overlapping skip-edges and o is order of the model.
Time delayed interactions in predicted skip-chain without prior, with Dirichlet prior, with Gibbs prior and combination of both priors: (n) denotes overlapping skip-edges and o is order of the model.
CaEs may also functionally protect AChE from insecticide toxicity by direct binding and sequestration, thereby preventing or delaying interaction between the insecticide and AChE (Jokanovic 2001; Maxwell 1992a).
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