To assess the ability of iMDA to achieve balanced genomic coverage, a non-stochastic amount of bacterial genomic DNA (1 pg) was amplified and sequenced, and data obtained were compared to sequencing data obtained directly from genomic DNA.
To assess whether the iMDA method achieves relatively complete coverage of the input genome, a non-stochastic amount of B. cereus template DNA (1 pg) was amplified (11,638,000 fold) in a 2-h iMDA reaction.
In this case, stochastic shielding amounts to setting the fluctuating component to zero while preserving the mean for those transitions connecting observationally equivalent states.
Existing works that deal with the problem of distributed average consensus with quantized information communication assume that the update matrices are doubly stochastic, which amounts to agents evolving on balanced directed networks with digital channels.
If A becomes abundant the production of B is inhibited and the system is in a stable state of high A and low B. If due to stochastic fluctuations the amount of A decreases or the amount of B is sufficiently high, the switch might flip and B becomes abundant and A repressed.
They do badly in a crisis, however, because their "dynamic stochastic" element only amounts to minor fluctuations around a state of equilibrium, and there is no equilibrium during crashes.ABMs, in contrast, make no assumptions about the existence of efficient markets or general equilibrium.
The stochastic shielding approximation amounts to setting δ N i j ( t ) to zero for selected i → j transitions, namely for those transitions between "unobservable states", or (equivalently) between any two states with the same value of the measurement observable, i.e. the conductance.
In the stochastic context, this amounts to the use of the Chapman-Kolmogorov equation on many time-slices.
In a stochastic setting, the amounts of molecular species may only take discrete values from the set Ω ¯ = { (X, Y ) T | X ∈ ℕ 0, Y ∈ ℕ 0 }.
Since the protein synthesis and degradation is also inherently stochastic, the relative amounts of p53, Mdm2, and p14ARF also vary with time and we hypothesise that this accounts for the intracellular variability in the oscillation amplitude.
