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Eulerian integration methods, where the velocity field perpendicular to a section is integrated to yield a flux, have to be calibrated so that only the flux by Agulhas leakage is sampled.
The equations of motion are then integrated to yield the particle trajectories.
The left-hand side of (8) can be shown to be the derivative of ln x t), so the equation can be integrated to yield ln x t) + c = −kt for a constant c that is determined by initial conditions.
We then discuss recent progress in designing gene networks that exhibit memory, and how memory and computation have been integrated to yield more complex systems that can both process and record information.
(8) The left-hand side of (8) can be shown to be the derivative of ln x t), so the equation can be integrated to yield ln x t) + c = −kt for a constant c that is determined by initial conditions.
A thermodynamic sorption model and a diffusion model based on electric double layer (EDL) theory are integrated to yield a surface chemical model that treats porewater chemistry, surface reactions, and the influence of charged pore walls on diffusing ions in a consistent fashion.
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This success has created an important challenge in identifying the functional consequences of these risk-associated variants and in elucidating how the repercussions of individual susceptibility loci integrate to yield dysregulation of immune pathways and, ultimately, syndromic clinical phenotypes.
which integrates to yield (26). where D 1 is an arbitrary constant.
With a careful choice of a three-dimensional spatial grid, the small scale features of these equations can be integrated analytically to yield a set of algebraic equations that can be solved by only a few iterations.
The best predictions were considered as overlapping results with above annotation steps and were integrated together to yield a summary of the annotated genes.
The dynamics of Eq. 30 continue until the turning point of the Hill function, which occurs at A ≈ K A. Terming t K as the time when A = K A in this regime, Eq. 30 is integrated implicitly to yield (31) t (A ) = ∫ X A d A [ β X A n ] − 1 = [ β X (n − 1 ) ] − 1 [ X − n + 1 − A − n + 1 ], t K = [ B X (n − 1 ) ] − 1 [ X 1 − n − K A 1 − n ], A (t ) = [ X 1 − n − (n − 1 ) β X t ] 1 / (1 − n ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com