Your English writing platform
Discover LudwigExact(10)
The external factors are levels of branch stability.
Our work easily generalizes and complements many of the branching and multiplicity results available for the one-equation system and is the first to give explicit, analytical results on branch stability.
Following this branch, stability is lost at LPC 4 and it ends in Hopf bifurcation H 3. We mention a branch sprouting from PD 3 of symmetric solutions that is initially stable but then folds over three times before it terminates in PD 4.
Branch stability was calculated using a bootstrap analysis with 1,000 pseudo-replicates.
We did not observe collateral axon branches within layer IV beyond P10, suggesting that cues in layer IV ultimately inhibit branch stability and innervation.
This method is base on the branch stability in the bootstrap trees derived from overlapping input sets of genome-wide miRNA precursor sequences.
Similar(50)
68 Moreover, Notch-1 or Notch-4 mediate cyclic strain-induced angiogenesis and Ang1/Tie2 signalling, 69 Consistent with the dysfunctional vascular morphology observed in inflamed joints, differential interactions of Notch with specific ligands has been shown to result in abnormal vessel branching, stability and morphology.
This branch loses stability at a torus bifurcation TR1.
The branch regains stability in the case of plateau-like bursting.
In Fig. 10C, the fast-slow subsystem spiking/bursting boundary (solid red, (mathrm{SN}_{1})) was calculated by following in the two superslow variables ((c_{mathrm{tot}}, l)) the SN point where the bursting branch loses stability (Fig. 7, red curve).
Specifically, for the SB solution, the sigh-like burst arises as the increase of superslow variables, (c_{mathrm{tot}}) and l, switches the behavior of the fast-slow subsystem from bursting to tonic spiking as the bursting branch loses stability at a SN bifurcation of periodic orbits ((mathrm{SN}_{1}) in Figs. 7 and 10C).
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com