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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.                                           
  
  
    41 tand the underlying mechanisms, we performed bifurcation analyses and demonstrated that there is a dy
  
  
  
  
  
    47 ator, and demonstrate a general strategy for bifurcation analysis based on observations of any noisy 
  
  
  
  
  
  
  
  
    56 y is complemented by extensive computational bifurcation analysis, performed for a biochemically-deta
  
  
  
  
    61  instead resides close to a subcritical Hopf bifurcation and achieves a graded frequency response-a c
  
    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
  
    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.
  
    73 , which we find to be consistent with a Hopf bifurcation, and analyze the meandering wavelength and a
  
  
    76 geometries, such as aneurysms, stenoses, and bifurcations, and supports endothelial cell culture.    
  
    78 on in arteriolar bifurcations with different bifurcation angles and same diameter of the daughter bra
  
  
  
    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
  
    85 uracy achieved by our method suggests that a bifurcation-based semi-local neighborhood provides suffi
  
  
  
    89 orm the first branch on time via growth cone bifurcation, but unlike wild-type they form collateral b
  
  
  
  
    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
  
  
    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 
  
  
  
   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
  
  
  
   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
  
  
   115 c PWV)(0.5)] and ascending aortic and aortic bifurcation diameters to assess aortic taper (ascending 
  
  
   118  cell rearrangements during terminal end bud bifurcation, each MaSC is able to contribute actively to
  
  
  
   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
  
  
  
  
  
  
  
   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
  
   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 
  
   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
  
  
   158 ther with higher reducing power, leading to "bifurcation." It is believed that a strongly reducing se
  
   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
  
   166 Symptomatic patients with large caliber true bifurcation lesions (SB diameter >/=2.5 mm) and signific
  
  
   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 
  
  
  
   176  stents in the treatment of complex coronary bifurcation lesions, there are concerns that the polymer
  
  
   179 ent myocardial infarction, total occlusions, bifurcations lesions, and other complex conditions.     
  
  
  
  
  
  
  
  
   188 al taxonomic units (leaves) and 17 ancestral bifurcations (nodes) that display a wide variety of fluo
  
   190 , there is little empirical evidence of fold bifurcations occurring in actual complex natural systems
  
   192 RF8 that regulated the initial developmental bifurcation of activated B cells as well as the GC respo
  
   194 sence of Npr2 activity indeed prohibited the bifurcation of cranial sensory axons in their entrance r
  
   196 inase Ialpha (cGKIalpha) that regulates axon bifurcation of dorsal root ganglion (DRG) neurons in the
  
  
  
   200 onstrate that NK cells possess an unexpected bifurcation of proximal ITAM-mediated signaling, each in
  
   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
  
   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 
  
  
  
  
   213 uniform calibers and asymmetric branching at bifurcations of the major proximal cerebral arteries.   
  
  
   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
  
  
  
   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 
  
   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.
  
   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 
  
   233 diate CD34(+) progenitor state as a critical bifurcation point, which can be tuned to generate functi
  
  
   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
  
   239 tween isolated cell pairs, and find that the bifurcation properties of a standard mathematical model 
  
  
  
   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
  
   248  and computer simulations, here we uncover a bifurcation scenario that explains the transformation to
  
  
   251 approach relies on geometric construction of bifurcation sets, numerical continuation, and random sam
  
  
   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
  
   257 ong the angiographic cohort was lower in the bifurcation stent group compared with the provisional gr
  
  
  
   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
  
  
   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
  
   273  in the vicinity of the Shilnikov homoclinic bifurcation, the number of population spikes and their p
  
  
   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
  
   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
  
   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
  
   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
  
   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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