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Among other things, we provide a necessary and sufficient condition on the initial data in order that the solution exist for all time and remain non-negative.
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The test problems demonstrate second-order convergence of the algorithm on smooth solution profiles, and the robust treatment of discontinuous initial data in an IFE-relevant vessel geometry.
with the initial data in (1.2).
Thus, software like LiftOver may need to be used if a different reference assembly is the initial starting data, in order to convert loci information from one assembly to another (http://genome.ucsc.edu/cgi-bin/hgLiftOver).
We will conduct an initial exploration of the NSMHWB data in order to ascertain the degree of precision possible in the matching strategy, for example delineating suitable bands for age.
To close the model, we shall match the initial contributions to those coming from experimental data, in order to run the simulations and compare the dynamics across different networks and types of players (see Sect. 4).
Thus, we present an initial set of analyses using un-normalized data in order to fully understand the systematic effects of interest in this study.
In order to integrate more closely with experiments, an interface is implemented to import experimentally-derived vascular network data, in order to specify the initial vasculature and then apply the tumour growth and angiogenesis model.
An initial analysis included the incorporation of global gene expression data in order to investigate the effect of histone modifications on gene activation, silencing and poising.
After the initial coding, we compared the most frequently used codes by going through larger segments of data, in order to develop more focused codes.
The Godunov procedure is second-order accurate for smooth flow and remains stable for discontinuous initial data, even in the zero-viscosity limit.
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