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There, the authors studied an analogous problem but without obtaining a localisation result.
In this paper, we state some existence results for the problem (1), following a previous study contained in [4], and improving the localisation result.
Therefore, if k ≤ K ∗, we have k ≤ 2 ( V d − V c ) ( d 2 − c 2 ) V c + V d ≤ 2 V d − V c d 2 − c 2 | x 2 V d − V c d 2 − c 2 − d 2 V c − c 2 V d d 2 − c 2 | for all x ∈ [ c, d ], which is used in the last step of the proof of assertion 2. Now we state an existence and localisation result for the auxiliary problem (2).
Mutations that prevent this localisation result in G2/M delay and in cells with an elongated morphology.
Proper assembly, trafficking and targeting of the sarcoglycan complex is of vital importance, and mutations that severely perturb tetramer formation and localisation result in sarcoglycanopathy.
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Fig. 4 Detection and localisation results.
We state existence and localisation results for a fully nonlinear boundary value problem using the upper and lower solutions method.
Those figures show that on these experiments our SLAM solution gives localisation results accurate to a 5 cm.
Detection and localisation results: percentage correct on the localisation task for individual radiologists on trials when detection was correct for (a) low-density and (b) high-density mammograms.
Non-local formulations have been intensively applied for the past 20 years to control the strain localisation resulting from strain-softening constitutive laws.
Detection and localisation results: percentage correct on the localisation task when a region of acceptance (ROA) around the lesion is included for individual radiologists for (a) low-density and (b) high-density mammograms.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com