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We derive an analytically tractable adaptive dynamic network model of collective migration with fast timescale migration dynamics and slow timescale adaptive dynamics of individual leadership investment and social interaction.
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The fundamental assumption allowing us to construct the implicit motility model is that the timescale of migration is much faster than the timescale of tumor cell death in a fully formed tumor.
The sensitivity of the timescales of migration and the distribution of contaminant in the subsurface to the mean permeability, the variance of the permeability, and the degree of fracturing of the domain were examined.
It may be mentioned that the timescale for planetary migration is fairly long (e.g., Hahn and Malhotra, 1999; Armitage, 2007) in comparison with our estimated time scale for segregation.
It is important to note that each movie is much shorter than the characteristic timescale of cell migration.
The strong-migration limit follows from a separation of timescales: going back in time, migration spreads the lineages on a faster timescale, whereas genetic drift causes lineages to coalesce on a slower one.
In that case if the segregation timescale be shorter than the migration timescales, the protoplanets then would have enough time to form cores before they are disrupted by the tidal force of the Sun.
Next we investigated whether rates of evolution within these 24 communities, and in the subset of DNA fragments most frequently shared between them, could provide insight into the relative timescales or mechanisms of genomic migration across YNP/GBS ecosystems.
The cells were considered to move with a persistent random walk [31], [32] as immune cells has been found to walk in consistent directions on the short timescales (min), but exhibit random migration in the long term [33].
However, quantifying migration rates over this timescale was not always possible because all potential source populations could not be sampled and, in some cases, we found no significant genetic differentiation between roach at sites distant from one another.
In general, the hydrogen atoms spend on the order of tens of picoseconds or more trapped in or around the vacancy sites with net migration between sites over timescales of tens of femtoseconds.
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