In other words, for each reaction, the output follows the equilibrium input-output relation with probability 1- p, and with probability p, the output is zero.
Fix ε=δ/2, by the definition of achievable rates, there exists a chunked code with n chunks for all sufficiently large n such that at least m n input packets are recovered with probability at least 1−ε.
In this context, to evaluate the robustness of the results obtained and to deal with uncertainty, all input parameters were associated with probability distributions and Monte Carlo simulation was then undertaken for probabilistic analysis.
The Boolean functions are chosen at random for every node, by assigning to each set of input values the outcome 1 with probability <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0017703.e004.PNG" class= inline-graphic"/>.
To account for unreliability in presynaptic spiking and synaptic release, each input spike crosses the synapse with probability 1/4.
(2) In metagenomics mode, an input reference genome is chosen with probability proportional to the species abundance and genome size.
We next consider the general scenario where a single neuron receives an n-dimensional input selected from m different possibilities with probability (p_{k}), (k=1,ldots,m).
A multiplexer computes a weighted sum of its input probabilities, with the weights given by the selection inputs.
This process is equivalent to an analytical procedure of multiplying the input probabilities with the powers of the state transition matrix.
The analogy with probability provides a connection between input-output functions, measurement and information.
