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1  disturbed blood flow (arches, branches, and bifurcations).
2 the extraordinary entrainment observed under bifurcation.
3 aorta as related to the location and type of bifurcation.
4 ry arterial wall beyond the pulmonary artery bifurcation.
5  regimes occurs as a result of a saddle-node bifurcation.
6 f the NfnAB complex and the site of electron bifurcation.
7 d via the mechanism of flavin-based electron bifurcation.
8  biliary ducts when placed above the biliary bifurcation.
9 map to assess how close the system is to the bifurcation.
10 ctors and assumed tipping points of the fold bifurcation.
11 ld activity to spiking, saddle-node and Hopf bifurcation.
12 e critical transition often corresponds to a bifurcation.
13 nction and noise amplification preceding the bifurcation.
14 oth muscle differentiation prevents terminal bifurcation.
15  and protein components involved in electron bifurcation.
16 an be an indication of capacity for electron bifurcation.
17 ition that has the characteristics of a Hopf bifurcation.
18 acquired in the region of the carotid artery bifurcation.
19 w conditions, the particles do not leave the bifurcation.
20 identified, including side branching and tip bifurcation.
21 motactic drift can push the system through a bifurcation.
22 rstood in terms of an underlying saddle-node bifurcation.
23 he level of the aortic annulus to the aortic bifurcation.
24  flow splits in the daughter branches of the bifurcation.
25 tonyl-CoA by NADH, a process called electron bifurcation.
26  for T15/30 behavioral entrainment following bifurcation.
27 we refine our previous mechanism of electron bifurcation.
28 printed lines is governed by branch width at bifurcations.
29 n inhomogeneities in the ferromagnet, called bifurcations.
30 rochannels prefer to enter wider branches at bifurcations.
31 number, and the angular momentum through the bifurcations.
32 first walks of the graph to identify closing bifurcations.
33  branch and in select sub-sequences of three bifurcations.
34 sease (SCD) red blood cell (RBC) adhesion in bifurcations.
35 d by increased branching, intersections, and bifurcations.
36 ia pathways that feature multiple sequential bifurcations.
37 -forming pathways with post-transition-state bifurcations.
38 changes due to the occurrence of saddle-node bifurcations.
39 west renal artery to the common iliac artery bifurcation (57.1% and 63.5%).
40 t by its operation near a particular type of bifurcation, a qualitative change in behavior.
41 tand the underlying mechanisms, we performed bifurcation analyses and demonstrated that there is a dy
42                                              Bifurcation analyses of these five models demonstrate an
43            We perform rigorous stability and bifurcation analyses, and demonstrate that our model is
44      We present single-cell clustering using bifurcation analysis (SCUBA), a novel computational meth
45                                              Bifurcation analysis and numerical simulations suggest t
46                                              Bifurcation analysis and the number of fixed points pred
47 ator, and demonstrate a general strategy for bifurcation analysis based on observations of any noisy
48                              Simulations and bifurcation analysis in relationship to extrinsic noise
49                   An in silico bidimensional bifurcation analysis of a mathematical model of the circ
50                                              Bifurcation analysis of the calcium oscillatory network
51                                  By means of bifurcation analysis of the deterministic approximation
52                     We perform two-parameter bifurcation analysis of the model that predicts the depe
53                                              Bifurcation analysis revealed that distinct dynamical pa
54                       Crucially however, our bifurcation analysis reveals that stable fixed point and
55                                   Subsequent bifurcation analysis was able to identify and describe a
56 y is complemented by extensive computational bifurcation analysis, performed for a biochemically-deta
57                                       With a bifurcation analysis, we identified the parameter space
58 ible models without awareness decay, through bifurcation analysis.
59 work model is demonstrated through dynamical bifurcation analysis.
60 dynamical equations, carrying out systematic bifurcation analysis.
61  instead resides close to a subcritical Hopf bifurcation and achieves a graded frequency response-a c
62                        Our data revealed the bifurcation and developmental tracks of the two NPC subp
63 ments showed a significant dependence on the bifurcation and rotation angles in several scenarios usi
64 rplay between the (deterministic) homoclinic bifurcation and stochastic effects may give rise to some
65 d on the normal form of a supercritical Hopf bifurcation and studied the dynamical changes when adapt
66 face of the future epithelial cleft prior to bifurcation and then increase in density as they wrap ar
67 e from the lowest renal artery to the aortic bifurcation and to the common iliac artery bifurcation w
68       Disturbed flow (DF) occurs in arterial bifurcations and curvatures, activates endothelial cells
69 dynamical maps demonstrate the subharmonics, bifurcations and stable regimes, along with distinct tra
70  magnetic force microscopy to image magnetic bifurcations and superconducting vortices, while high re
71 te and gray matter astrocytes, and decreased bifurcations and tips on astrocytes in animals with SIB.
72 ng the valley-ridge inflection point (VRI or bifurcation) and direct formation of 23 possible.
73 , which we find to be consistent with a Hopf bifurcation, and analyze the meandering wavelength and a
74 landscapes with fluctuating resilience, fold-bifurcations, and alternate basins of attraction.
75  chronic total occlusions, planned two-stent bifurcations, and in-stent restenosis.
76 geometries, such as aneurysms, stenoses, and bifurcations, and supports endothelial cell culture.
77 flux through the main daughter branch as the bifurcation angle is increased.
78 on in arteriolar bifurcations with different bifurcation angles and same diameter of the daughter bra
79 ipulating the CFM at different orientations, bifurcation angles, and rotation angles.
80          The biological implications of such bifurcations are illustrated using an example concerning
81  algorithm representing axonal and dendritic bifurcations as strings of characters.
82 ic vortex channels which undergo cascades of bifurcations as the current and magnetic field increase.
83 ental evidence for the existence of distinct bifurcations associated with a noisy biological oscillat
84 ogical resilience based on the observed fold bifurcation attributes.
85 uracy achieved by our method suggests that a bifurcation-based semi-local neighborhood provides suffi
86 ives rise to a geometrically driven critical bifurcation between mono- and bistability.
87                                      Various bifurcations between steady and unsteady states can occu
88  carotid artery (CCA-IMT) and carotid artery bifurcation (BIF-IMT) between 2010 and 2013.
89 orm the first branch on time via growth cone bifurcation, but unlike wild-type they form collateral b
90          A mechanism of FAD-coupled electron bifurcation by NfnAB is proposed.
91 h of the field, multi-stable wavy states and bifurcations can occur.
92 ell as pre-bifurcation or as one of two post-bifurcation cell fates.
93                We found that during terminal bifurcation, changes in the geometry of nascent buds coi
94 ary syndrome and in specific lesion subsets (bifurcations, chronic total occlusions, and in-stent res
95 ates can be explained by a passage through a bifurcation combined with stochastic resonance - a mecha
96 ergy intermediates and that no reaction path bifurcations compete.
97              We randomized 704 patients with bifurcation coronary lesions at 58 centers (30 from Euro
98 e Netherlands (MR CLEAN) in whom the carotid bifurcation could be assessed (n = 443) were included.
99 dge of signals controlling embryonic lineage bifurcations could efficiently yield desired cell types
100     The morphological diversity of dendritic bifurcations could thus locally tune neuronal excitabili
101 -T and T-and protrusion resulted in complete bifurcation coverage and in minimal double-strut layers
102        Culotte stenting resulted in complete bifurcation coverage with extensive segments of double-l
103             In the latter case, the backward bifurcation creates a region of bistability in which the
104                                   At lineage bifurcations, cross-repressive signals separated mutuall
105  attractors with associated basins and their bifurcations--define the regulatory and evolutionary pot
106 rd (transcritical) bifurcation or a backward bifurcation depending on colony-specific parameters.
107 ne the identity of and proximity to distinct bifurcations despite the presence of substantial environ
108                   In doing so, it provides a bifurcation diagram that concisely describes various reg
109 alization of the solution's phase spaces and bifurcation diagrams.
110         The results are analyzed by means of bifurcation diagrams.
111 eter but did associate with increased aortic bifurcation diameter and decreased aortic taper, both of
112  associated with age, aortic PWV, and aortic bifurcation diameter with high specificity and sensitivi
113 rtic taper (ascending aortic diameter/aortic bifurcation diameter).
114            In controls, aortic ascending and bifurcation diameters increased with age, with an unchan
115 c PWV)(0.5)] and ascending aortic and aortic bifurcation diameters to assess aortic taper (ascending
116  airway wall and then splits unevenly at the bifurcation due to gravity.
117 g at the cleft site is required for terminal bifurcation during airway branching morphogenesis.
118  cell rearrangements during terminal end bud bifurcation, each MaSC is able to contribute actively to
119 sked whether this cascade also controls axon bifurcation elsewhere in the nervous system.
120                              We identified a bifurcation event early in the trajectory when a primiti
121                        Flavin-based electron bifurcation (FBEB) is an important mechanism for the ene
122 ions suggests that such systems exhibit fold bifurcations featuring folded response curves, tipping p
123 Our results show the existence of a backward bifurcation for the case in which ITN efficacy is consta
124  this region and prove that the existence of bifurcation for this second epidemic threshold crucially
125 t of a nonlinear iterated map near a tangent bifurcation for which the Lyapunov exponent is negligibl
126  no matter how small, and that the resulting bifurcation from the disease-free equilibrium is equival
127 ltered in three possible ways: alteration of bifurcation geometry, alteration of cell trajectories, o
128 n, 2) the scaling laws suggest a saddle-node bifurcation governing slowing down, and 3) these precise
129                                   However, a bifurcation happens by age 6, at which US participants d
130             Recently a flavin-based electron bifurcation has been detected in anaerobes, first in clo
131               A structure-based mechanism of bifurcation has been elucidated recently for the flavin-
132                        Flavin-based electron bifurcation has recently been characterized as an essent
133                                     Electron bifurcation has recently gained acceptance as the third
134                              Period-doubling bifurcations have been linked to the onset of abnormal a
135                   In this study, we report a bifurcation in a signaling cascade of the NIMA-related k
136 , including the recent discovery of electron bifurcation in acetogens, and close with recommendations
137 irical evidence for the occurrence of a fold bifurcation in an exploited fish population and introduc
138 nfirm analytically that the emergence of the bifurcation in control coincides with the formation of t
139  modulating cortical MT nucleation induces a bifurcation in cytoskeletal organisation that accounts f
140  an auxin-signaling mutant reveals signaling bifurcation in the control of petiole elongation versus
141     This report describes the discovery of a bifurcation in the coupled dynamics between the transpor
142 on of airway smooth muscle during epithelial bifurcation in the embryonic mouse lung.
143 aining positive feedback loops, and induce a bifurcation in the underlying dynamics that gives rise t
144 he existence of a subcritical Neimark-Sacker bifurcation in which the limit cycle loses its stability
145 ution of blood flow at successive arteriolar bifurcations in metabolic syndrome creates an environmen
146 or cerebral artery-olfactory artery (ACA/OA) bifurcations in Sprague-Dawley rats with or without ECFC
147 he same parameter values, as well as capture bifurcations in the fixed points of the map that cause s
148  of nonequilibrium behaviour as evidenced by bifurcations in the ion steady-state temperature, parame
149 into magnetic islands that are indicative of bifurcations in the island structure and transport near
150 atical instability, called a period-doubling bifurcation, in a model of the cardiac cells.
151 a bundle functions near a supercritical Hopf bifurcation, in which case it responds best to sinusoida
152 othelial cells to disturbed flow at arterial bifurcations increases permeability for lipoproteins.
153 us incorrect lexical decisions using a phase bifurcation index (BI), which quantifies differences in
154 n the DNA-activated pathways upstream of the bifurcation into the STING and absent in melanoma 2 path
155  recycle Fd(red) via a flavin-based electron bifurcation involving NADH, Fdox and the thiol/disulphid
156                                     Electron bifurcation is a fundamental strategy of energy coupling
157               Flavin-based electron transfer bifurcation is emerging as a fundamental and powerful me
158 ther with higher reducing power, leading to "bifurcation." It is believed that a strongly reducing se
159                                          The bifurcation judgment process not only correctly tracks t
160 nduces erythroid lineage bias at all lineage bifurcations known to exist between hematopoietic stem c
161  acute corner of a triangular pillar or of a bifurcation, leads to the enhanced deposition and aggreg
162      A total of 413 patients with a coronary bifurcation lesion were randomly assigned to a simple st
163     METHODS AND In 40 patients with coronary bifurcation lesion, 120 intravascular ultrasound examina
164 ascular ultrasound in patients with coronary bifurcation lesion, demonstrating that POT symmetrically
165 flow reserve (FFR) in patients with coronary bifurcation lesion.
166 Symptomatic patients with large caliber true bifurcation lesions (SB diameter >/=2.5 mm) and signific
167                                              Bifurcation lesions are frequent among patients with sym
168                     Bench models of coronary bifurcation lesions demonstrated that the proximal optim
169  Stent Used With DES in Treatment of de Novo Bifurcation Lesions in the Main Branch & Side Branch in
170  Stent Used With DES in Treatment of de Novo Bifurcation Lesions in the Main Branch & Side Branch in
171      We randomly assigned patients with true bifurcation lesions to a main vessel stent plus provisio
172  sought to compare treatment of de novo true bifurcation lesions using a dedicated bifurcation stent
173                   The association of TCL and bifurcation lesions was present in 40.1% of the prespeci
174               When treating complex coronary bifurcation lesions with large stenosed SBs, there is no
175                For the treatment of coronary bifurcation lesions, a provisional strategy is superior
176  stents in the treatment of complex coronary bifurcation lesions, there are concerns that the polymer
177 for treatment of non-left main true coronary bifurcation lesions.
178 o systematic 2-stent techniques for the most bifurcation lesions.
179 ent myocardial infarction, total occlusions, bifurcations lesions, and other complex conditions.
180 ts and inappropriately apposed struts at the bifurcation level in 3 of 5 cases.
181 ical threshold, resulting from a saddle-node bifurcation mainly determined by IK1 and INCX.
182                                 Well defined bifurcations mark transitions between amorphous, wave-li
183                                         This bifurcation marks a cell-fate decision point whereby cel
184            Strikingly, NirN uses an electron bifurcation mechanism for the two-electron oxidation rea
185 oscillatory conditions using a supercritical bifurcation model.
186 ral feedback, feedforward, and transcritical bifurcation motifs can generate thresholds.
187                                        These bifurcations necessitate a baseline shift at onset and a
188 al taxonomic units (leaves) and 17 ancestral bifurcations (nodes) that display a wide variety of fluo
189                              Two saddle-node bifurcations occur for increasing N (mono --> bi --> mon
190 , there is little empirical evidence of fold bifurcations occurring in actual complex natural systems
191                             In all models, a bifurcation occurs as the flexibility number increases,
192 RF8 that regulated the initial developmental bifurcation of activated B cells as well as the GC respo
193                      While tipping in a fold bifurcation of an equilibrium is well understood, much l
194 sence of Npr2 activity indeed prohibited the bifurcation of cranial sensory axons in their entrance r
195 the stable limit cycle destroyed in the fold bifurcation of cycles.
196 inase Ialpha (cGKIalpha) that regulates axon bifurcation of dorsal root ganglion (DRG) neurons in the
197        These two states are interpreted as a bifurcation of magnetic island with high and low heat pu
198        This study illustrates the functional bifurcation of PCL proteins, which act in both a chromat
199                Moreover, these data reveal a bifurcation of PKA-dependent clock effects and PKA-indep
200 onstrate that NK cells possess an unexpected bifurcation of proximal ITAM-mediated signaling, each in
201                       Our findings suggest a bifurcation of Smo activity in Hh response, with a Dlg5-
202 ic potential by a domain wall results in the bifurcation of spatially localized "edge states," associ
203 etry is a proven mechanism for creating this bifurcation of stability, for the case of a creased shel
204               Variations of the branches and bifurcation of the abdominal aorta and their relations w
205 s report, authors present a high -positioned bifurcation of the abdominal aorta at the level of the L
206 negative feedback was sufficient to initiate bifurcation of the B cell developmental trajectories.
207 occus aureus, which generates the phenotypic bifurcation of the cells into two genetically identical
208 n transport chain, providing support for the bifurcation of the cycle and the down-regulation of the
209 ted at the ventral extent of the myotome via bifurcation of the growth cone.
210                         We propose that this bifurcation of the Tre1 G protein-coupled receptor signa
211 rovides checkpoint regulation of the lineage bifurcation of these 2 lineages.
212 thereby provides a control mechanism for the bifurcation of these alkaloid pathway branches.
213 uniform calibers and asymmetric branching at bifurcations of the major proximal cerebral arteries.
214 A ratio at the level of the pulmonary artery bifurcation on CT scans.
215 n of red blood cell aggregates in a T-shaped bifurcation on the scale of a large microvessel.
216  model can undergo a forward (transcritical) bifurcation or a backward bifurcation depending on colon
217 urcation points by labeling each cell as pre-bifurcation or as one of two post-bifurcation cell fates
218 rge pulp chambers lacking or showing delayed bifurcation or trifurcation of the roots.
219 s, either at finely tuned parameters (near a bifurcation) or in systems with cross-diffusion.
220 ion (P = .03) and to the common iliac artery bifurcation (P = .01).
221 d from the lowest renal artery to the aortic bifurcation (P = .03) and to the common iliac artery bif
222 volvement of all hepatic veins (V) or portal bifurcation (P), contiguous extrahepatic tumour (E), mul
223 died the dynamical changes when adapting the bifurcation parameter for all brain nodes to best match
224 ding into the cochlear nucleus had disrupted bifurcation patterns.
225 ular metrics, such as the number of vascular bifurcations per unit volume, vascular segment length pe
226 ecrease the GPe discharge rate and lead to a bifurcation phenomenon (pause) in some of the GPe neuron
227 ade degeneration was strongly blocked at the bifurcation point at both the acute and subacute phases.
228                   Of central importance is a bifurcation point at which uracil triphosphate is partit
229 d that pyruvate dehydrogenase (PDH) is a key bifurcation point between T cell glycolytic and oxidativ
230 cise scaling laws can be used to predict the bifurcation point from a limited window of observation.
231 fect of injury location relative to the main bifurcation point on axon degeneration and regeneration
232                 Kinetics studies suggest the bifurcation point to these two products is an unobserved
233 diate CD34(+) progenitor state as a critical bifurcation point, which can be tuned to generate functi
234 velopment in the mouse thymus, including the bifurcation point.
235 butions even when operating near a dynamical bifurcation point.
236  developmental progression, and it pinpoints bifurcation points by labeling each cell as pre-bifurcat
237 ion of patterns in dynamics that emerge near bifurcation points suggests that symptoms of critical sl
238 are necessary for the execution of an axonal bifurcation program.
239 tween isolated cell pairs, and find that the bifurcation properties of a standard mathematical model
240         Recently, it has been shown that the bifurcation properties of second-order non-Hermitian deg
241                   When blood flows through a bifurcation, red blood cells (RBCs) travel into side bra
242 matical events: a saddle-node and homoclinic bifurcation, respectively.
243 s are observed to frequently jam at vascular bifurcations resulting in reductions in hematocrit and f
244  due to delayed negative feedback via a Hopf bifurcation, resulting in a frequency that is a monotoni
245 find that red blood cell jamming at vascular bifurcations results in several orders-of-magnitude incr
246 e or reduced ferredoxin obtained by electron bifurcation, Rnf can be measured in the forward directio
247                                         Both bifurcation routes are operative, but their relative con
248  and computer simulations, here we uncover a bifurcation scenario that explains the transformation to
249                                       In the bifurcation segment, minimum stent area was larger after
250  POT symmetrically expanded the proximal and bifurcation segments of the stent.
251 approach relies on geometric construction of bifurcation sets, numerical continuation, and random sam
252        We find an intervortex spacing at the bifurcation shorter than the one predicted for the same
253 c bud bifurcates, endothelia form across the bifurcation site as the cap mesenchyme splits.
254     Using well-documented, readily available bifurcation software, the local perturbation analysis tr
255 vices that mimic vascular geometries such as bifurcations, stenosis, and complex interconnected netwo
256            At 9 months, TVF was 17.4% in the bifurcation stent group compared with 12.8% in the provi
257 ong the angiographic cohort was lower in the bifurcation stent group compared with the provisional gr
258 o true bifurcation lesions using a dedicated bifurcation stent or SB balloon angioplasty.
259 essel stent plus provisional stenting or the bifurcation stent.
260                                              Bifurcation stenting using bioresorbable vascular scaffo
261  about the feasibility of performing complex bifurcation stenting with Absorb bioresorbable vascular
262  combination of characters (e.g. spo-rophyte bifurcation, stomata, and dyads) unknown in plants today
263 articular, the presence of such a homoclinic bifurcation strongly affects the shape of the trajectori
264                    Our results reveal a rich bifurcation structure marked by nested regions of multis
265            At 5-year follow-up in the Nordic Bifurcation Study, the clinical outcomes after simple op
266  scenarios such as acute coronary syndromes, bifurcations, tapered vessels, overlapping stents, and c
267 , a chemosensory organ at the carotid artery bifurcation that monitors blood oxygen and stimulates br
268 ults identify an early hematopoietic-lineage bifurcation that separates the myeloid lineages before t
269 ribed in mathematical terms as a sequence of bifurcations that the healthy cells undergo while transf
270 its more complex dynamics including backward bifurcations; that is, multiple positive equilibria exis
271     By operating near different varieties of bifurcation, the bundle responds best to disparate class
272              At the megakaryocytic/erythroid bifurcation, the cross-antagonism of krueppel-like facto
273  in the vicinity of the Shilnikov homoclinic bifurcation, the number of population spikes and their p
274                   Because of the saddle-node bifurcation, the system can automatically depolarize eve
275                                      We used bifurcation theory and fast-slow decomposition methods t
276 non-linear modeling of neuronal activity and bifurcation theory to investigate how global and local c
277 ernate fates throughout multiple consecutive bifurcations, thereby efficiently differentiating multip
278 two or more products involving reaction path bifurcations through valley-ridge inflections.
279 signatures of critical slowing down near the bifurcation to spiking, quantitative experimental eviden
280 gnals from the chemoreceptors of the carotid bifurcation to the central nervous system where the stim
281 e abundance of short patterns of up to three bifurcations, together with overall tree size, effective
282  strategy for identifying cell developmental bifurcations, tracking the stochastic transcript kinetic
283 n Branch & Side Branch in Native Coronaries) bifurcation trial sought to compare treatment of de novo
284 crease in the WSS value at a stenosis at the bifurcation was 2.7 Pa.
285 ecursor to these lineages and found that its bifurcation was marked by differential induction of the
286 The presence of a carotid web at the carotid bifurcations was evaluated at computed tomographic (CT)
287 o coerce a hair bundle to traverse different bifurcations, we find that a bundle operates within at l
288 c bifurcation and to the common iliac artery bifurcation were measured.
289 sion Carotid webs at the symptomatic carotid bifurcation were observed in 2.5% of the patients with a
290 me from the lowest renal artery to the iliac bifurcation were the most sensitive criteria for detecti
291 airing this negative regulation will drive a bifurcation which may represent transition into a pathol
292  force these cases into tentative cell track bifurcations, which define natural semi-local neighborho
293 rticles suspended in a fluid that enters the bifurcation will leave it with the fluid.
294 rwent stenting of the nondiseased aortoiliac bifurcation with bioresorbable vascular scaffolds using
295 ft main, >2 lesions/vessel, length >/=30 mm, bifurcation with side branch >/=2.5 mm, vein bypass graf
296 ere was MV and SB scaffold distortion at the bifurcation with single strut fractures in 4 of 5 and do
297 ulated blood-plasma separation in arteriolar bifurcations with different bifurcation angles and same
298 rns), differing most in their proportions of bifurcations with one terminal branch and in select sub-
299 ed to activated human endothelial cells near bifurcations with rolling and adhesion patterns in close
300 al equations that support a subcritical Hopf bifurcation, with a feedback mechanism that tunes an int

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