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Hence, to comprehend the outcome of cell biology research in clinical context, it is important that the cell culture based models should incorporate both the three dimensional (3D) organization and multi cellular complexity of an organ while allowing experimental interventions in a desirable manner.
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Now we attack this problem by deriving a specialized optimization algorithm based on two ingredients: first, a recently found necessary condition for the quasiconvexity of fourth-degree polynomials that distinguishes between both classes in the three dimensional case, and secondly, upon a characterization of rank-one convex fourth-degree polynomials in terms of infinitely many constraints.
(b) Graphical representation of the three dimensional GHZ state generation.
See the three dimensional reconstruction in Animation S1.
You could see the actual distance between them and the three dimensional nature of outer space.
The volume of a shape measures the three dimensional (3D) amount of space it takes up.
The three dimensional structures were generated with CORINA version 2.6 [28].
This is a projection of the three dimensional ARc into a two dimensional space of residence time and glucose yield.
Somatization and distress, both measured with the Four Dimensional Symptom Questionnaire (4DSQ), have been validated in Dutch populations in primary care [ 22].
1.6 we consider the two dimensional case.
The area of a shape is a measure of the two dimensional space that it covers.
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