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They obtain a reduced planar model (of the full Hodgkin–Huxley model) in ((V,U)) co-ordinates under the replacement (m rightarrow m_{infty}(V)) and (X = X_{infty}(U)) for (X in{ n, h }) with a prescribed choice of dynamics for U (such that (mathrm{d}^{2} V/ mathrm{d} t^{2}) is similar in the two models for a fixed V).
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Our results show that Jarid2-null ESCs express constitutively high levels of Nanog proteins, indicative of a "naive pluripotent state," together with dramatically reduced planar cell polarity (PCP) and Wnt signaling components.
Finally there is a parallel to Haiman and Schmitt's reduced tree formula for the antipode, in which one uses reduced planar trees and the depth first ordering on the vertices.
With regard to the shape of individual cells, epiblast cells in the PGE of control embryos showed planar elongation (Fig. 1O) oriented specifically along the ML axis (Fig. 1Q), whereas epiblast cells from the same region in treated embryos showed reduced planar elongation (Fig. 1P) and no preferred orientation of the long cell axis (Fig. 1R; P<0.0001 by independent t-test with unequal variances).
It is shown that for a plain pipe (with no end-mass), non-planar post-instability oscillations can be reduced to planar periodic oscillations for a range of base excitation frequencies and amplitudes.
For a pipe with an end-mass, similarly to a plain pipe, three-dimensional period oscillations can be reduced to planar ones.
S′ phase was a kind of semi-coherent unshearable precipitate and hence reduced the planar-reversible slip.
Finally, the 3D characteristic curves PlR(P/T) and Plk(P/T) reduced to the planar characteristic curves AnR(P/T) and Ank P/T), i.e., to the so-called AnR(P/T)- and Ank(P/T)-relatindicatricesindicatrices
Thus the system must be described by three coupled equations of the form (5)–(7) which, even in the limit (Nrightarrowinfty), will not reduce to a planar system due to the non-uniformity of the distribution of (psi_{k}).
This device, the design of which we have previously reported on, features a planar HPGe crystal with a reduced-capacitance strip electrode geometry.
Furthermore, the reduced molecule gets a complete planar structure (Fig. 2) according to the optimized geometry.
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