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These sequences can be modeled numerically, using the Bloch equations (10,11).

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A high-speed droplet-laden reacting shear layer is modeled numerically to analyze the dynamics of flame kernel for better understanding ignition and extinction processes in spray combustion.

The displacement and stress fields for the earthquakes were modeled numerically, and anomalously high pressure and/or weakening of the surficial materials was expected for the formation of fractures in the local domain.

Thus we begin by observing that the Notch signalling model can be solved numerically using COMSOL.

However, they can be computed numerically using existing subroutines [14].

The resulting expressions, both master equations and rate equations, were integrated numerically using a numerical integrator.

Time-dependent changes in plasma concentration were modeled individually, using WinNonlin (Pharsight, St .Louis, Missouri, USA).

The measured fields at each receiver are obtained numerically, using the forward model described in [ 35].

However, the values can be quickly calculated numerically, using equation (5).

Scanned images of microarray slides were analyzed numerically using the Agilent Feature Extraction Software.

The matrix inversion was performed numerically using Mathematica and all the Pi values were obtained.

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