Sentence examples for by an analytical approximation from inspiring English sources

A handy and significant model is therefore derived by an analytical approximation approach.

It is based on previous work on the development of an analytical approximation formula by Frank and Wissel [K.

We present analytical results for all three findings: (a) a lower estimation of the critical migration rate in the presence of local adaptation, (b) an analytical approximation for the gene flow reduction caused by unidirectional CI, and (c) a heuristic formula describing the invasion success of mutants at a mate preference locus.

By making the assumptions of constant effectiveness and by neglecting the number of new infection occurring after treatment initiation, an analytical approximation for the multiscale model can be obtained: Eq 10where, and This analytical solution makes the interpretation of parameters easier.

Recently, Bürger and Akerman (2011) derived an analytical approximation for a neutral site that is flanked by two selected loci.

The ST technique is based on an analytical approximation for the transition probability density.

Telschow et al. [27] derived for bidirectional CI an analytical approximation for the effective migration rate.

Therefore, computationally efficient forward modeling of EPs is frequently performed using an analytical approximation to the BTE [ 31] such as the time-dependant diffusion approximation (TDDA) [ 10, 16] or the second order cumulant approximation [ 32].

We also develop an analytical approximation for a mass-spring system, extended to include energy fluctuations of bouncing 'viscera' for a range of gut stiffness (kgut).

In order to obtain a value for the false-positive rate for any generated score S, an analytical approximation of this score distribution was determined (Materials and Methods).

Assuming that the true solution is periodic, our goal is to find an analytical approximation that is valid for all t.