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Inside TADs separated by relatively constitutive boundaries, distal elements regulate their gene targets through specific chromatin-looping contacts such as long-distance enhancer-promoter interactions.
Constitutive boundaries occur only in CSE CSE exon pairs.
PUs are significantly enriched at constitutive boundaries (P value < 2.2 E-16, by χ test).
The exon exon boundaries that remain unchanged in all the transcript isoforms of a gene are termed "constitutive boundaries," whereas those that differ between isoforms are designated as "non-constitutive boundaries".
By contrast, for the current analysis, we examine whether PUs tend to be located at constitutive boundaries.
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Recent improvements have however revealed that equivalence requires also the fulfilment of constitutive boundary conditions.
Equivalence between integral and differential constitutive relations is proven to hold for nonlocal laws with a special kernel, under constitutive boundary conditions stemming naturally from the integral relation.
With this choice, the stress-driven two-phase model is shown to be equivalent to a differential problem equipped with higher-order constitutive boundary conditions.
The proposed stress-driven nonlocal integral constitutive law is proven to be equivalent to a fourth-order linear differential equation in the elastic curvature, fulfilling suitable homogeneous constitutive boundary conditions.
The stress-driven integral relation is equivalent to a differential problem with higher-order homogeneous constitutive boundary conditions, when the special bi-exponential kernel introduced by Helmholtz is considered.
Corresponding higher-order constitutive boundary conditions are established for the first time, showing inapplicability of strain-driven nonlocal integral law of bi-Helmholtz type to continuous nano-structures defined on bounded domains.
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