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We discuss these observations in terms of an extended Keller-Segel model for which we derived novel transport parameter expressions accounting for perturbations of the chemotactic response by collisions with the agar.

Our map encompasses approximately 1300 genes for which we derived genetic interaction profiles, the largest genetic interaction map generated for a metazoan cell to date.

In this context, it is worth noting that for many of the lineages for which we derived Ne estimates over time, one or more speciation events are likely to have occurred during this period.

We used the Fisher's Z-transformed Spearman rank correlations as effect sizes, for which we derived confidence intervals based on their variance calculated as 1 / (N − 3), where N is the corresponding sample size (number of individuals).

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To better illustrate the concepts, we focus on stochastic chemical kinetics models for which we derive analytical relations for jump moments of arbitrary order.

Furthermore, we show through analysis and numerical simulations that the data interference terms are well modeled by a Gaussian distribution for which we derive the second order statistics.

Following Olander model for a second order reversible instantaneous reaction model is proposed, for which we derive an analytical solution in terms of bulk solution properties.

On a large scale, the traffic demand is assumed to be static for a sufficiently large period of time for which we derive a feasible network configuration that supports this traffic demand.

The generalized network model, for which we derive formulae for the arc and path multipliers that capture the underlying physics of radioisotope decay, includes total operational cost minimization, and the minimization of cost associated with nuclear waste discarding, coupled with capacity investment costs.

More precisely, we consider a pragmatic approach based on the concatenation of convolutional codes and BPSK/QPSK modulation to obtain cooperative codes for relay networks, for which we derive the pairwise error probability, an asymptotic bound for frame error probability, and a design criterion to optimize both diversity and coding gain.

− We analyze the asymptotic sum-capacity when the signal-to-noise ratio (SNR) goes to infinity, for which we derive the conditions on the signature waveform space so that on every link to the base station, the individual capacities are achieved simultaneously.

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