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   1 tion seems random and is often attributed to brownian motion.                                        
     2 ng fundamentally different from conventional Brownian motion.                                        
     3  of micrometer-sized COM crystals capable of Brownian motion.                                        
     4 ng or rising effects, rather than stochastic Brownian motion.                                        
     5 nvironment rather than transport by a random Brownian motion.                                        
     6 a simple stochastic model based on geometric Brownian motion.                                        
     7 of the cell from the solid surface caused by Brownian motion.                                        
     8 ics, van der Waals force, hydrodynamics, and Brownian motion.                                        
     9 sis, electrophoresis, ac-electroosmosis, and Brownian motion.                                        
    10 lecules in solution by direct suppression of Brownian motion.                                        
    11  developed within the framework of rectified Brownian motion.                                        
    12 destabilizing effect of scattering force and Brownian motion.                                        
    13 of fluctuations in bead force as a result of Brownian motion.                                        
    14 ble to pass through a mucus layer by passive Brownian motion.                                        
    15 e the competition between viral lability and Brownian motion.                                        
    16  revealed that chromatin undergoes extensive Brownian motion.                                        
    17 rements with single molecules are evident as Brownian motion.                                        
    18  shapes have the largest random dispersal by Brownian motion.                                        
    19 is limited by rotational diffusion caused by Brownian motion.                                        
    20 -scale movements is hindered by superimposed brownian motion.                                        
    21 n whether T cell movement is consistent with Brownian motion.                                        
    22 port of larger nanomaterials is dominated by Brownian motion.                                        
    23  objects are stochastically displaced due to Brownian motion.                                        
    24 ent is enhanced up to 100% compared to their Brownian motion.                                        
    25 n has a profound impact on the near-boundary Brownian motion.                                        
    26 markably consistent with those expected from Brownian motion.                                        
    27  resulting in a gradual decrease in the bead Brownian motion.                                        
    28 erm vanishes and strong chaos again leads to Brownian motion.                                        
    29 se obtained with space-dependent slowed-down Brownian motion.                                        
    30 via a molecular ratchet mechanism powered by Brownian motion.                                        
    31 te to reach active conformations by means of Brownian motions.                                       
    32 /-3%) when R(H) is determined by analysis of Brownian motion; 2) the fragments also have the fluoresc
  
    34 are not restrained, they undergo significant Brownian motion, a characteristic traditionally thought 
  
  
    37 he microtubule-dependent kinesin family show Brownian motion along microtubules led us to hypothesize
    38 listic) behavior of a polypeptide undergoing Brownian motion along the first few principal components
  
  
  
  
  
  
  
  
    47 ffinity of the reaction, locally slowed-down Brownian motion and local hindrance by obstacles both im
    48 istribution of interspecies covariance under Brownian motion and Ornstein-Uhlenbeck models of phenoty
    49 recursor movement results predominantly from Brownian motion and that the SecA ATPase regulates pore 
    50  develop a random walk model to simulate the Brownian motion and the electrochemical response of a si
    51 , we directly visualize in real-time, the 1D Brownian motion and transcription elongation of T7 RNA p
  
    53    MotI-inhibited flagella rotated freely by Brownian motion, and suppressor mutations in MotA that w
    54 sion are considered: obstruction, fractional Brownian motion, and the continuous-time random walk.   
  
    56 he large-distance, long-time asymptotics for Brownian motion are calculated by using a nonlinear stoc
    57 ntire interval (1, 2) and especially include Brownian motion as the overall most efficient search str
    58  myosin, for example, we favor the idea that Brownian motions associated with the flexible converter 
  
  
  
    62 hat chromatin is free to undergo substantial Brownian motion, but that a given chromatin segment is c
  
    64 ion, and the asymmetric barriers rectify the Brownian motion, causing a directional transport of mole
  
  
    67 s of magnitude smaller than the force of the Brownian motion destroying the assemblies even for the m
    68 somewhat counterintuitively, the diffusional Brownian motion determines the fundamental limitations o
    69  to a longitudinal flow exhibit not only the Brownian motion due to diffusion but also the translatio
  
  
  
    73 ntinuous, mostly immobile (i.e., no detected Brownian motion) fibrous network that encloses the DNA-d
    74 se findings statistically prove a fractional Brownian motion for the telomere trajectories, which is 
  
    76 d timescale of 1 mus, unveiling unobstructed Brownian motion from 25 to 100 nm, and partially suppres
    77  of moment-generating function and geometric Brownian motion from stochastic mathematics, our analysi
  
    79 argination and cell interaction, compared to Brownian motion, gravity, and cell membrane deformation 
  
    81 e the hydrodynamic instantaneous velocity of Brownian motion in a liquid, which follows a modified en
    82 were modeled by a gating particle undergoing Brownian motion in a one-dimensional diffusion landscape
    83  They have comparable mobilities and display Brownian motion in extrasynaptic space but are constrain
    84 ined the photoelectric effect, and described Brownian motion in five papers, all published in 1905, 1
    85 sults shed light on the fundamental roles of Brownian motion in microbial motility, nutrient uptake, 
    86 t Levy walks have functional advantages over Brownian motion in random searching and transport kineti
    87 birefringence to measure rates of rotational Brownian motion in solution, is not significantly change
  
  
  
    91 ility (mechanical lasing) and the cooling of Brownian motion in the fundamental mode through excitati
  
    93 ort of particles between two compartments by brownian motion in this way bears similarities to the hy
  
  
  
  
    98 NA molecules are visualized while undergoing Brownian motion inside media patterned with molecular-si
  
  
  
   102 l ratchet" in which a thermal fluctuation in Brownian motion is captured by formation of the actomyos
   103  the size scale of the polymeric mesh, their Brownian motion is minimally hindered by intermittent co
  
  
   106     However, only in the case of slowed-down Brownian motion is the affinity maximal when the slowdow
  
   108 much slower than would be expected from free Brownian motion, is strongly restricted over tens of nan
  
  
  
  
   113 branes are also heterogeneous media in which Brownian motion may be locally slowed down due to variat
  
  
  
   117 odels of character evolution, the classical "Brownian motion" model and another model ("Ornstein-Uhle
   118 sed on magnetic spectroscopy of nanoparticle Brownian motion (MSB) to quantitatively detect molecular
  
  
   121 er, the detection of single photons, and the Brownian motion of a microscopic particle in a fluid are
   122  reaction far from equilibrium, can bias the Brownian motion of a particle in an anisotropic medium w
  
   124 ow a polymerizing filament could rectify the Brownian motion of an object so as to produce unidirecti
   125 ryotes: localized motion consistent with the Brownian motion of an RNA polymer tethered to its templa
  
   127 mber of experiments have since exploited the Brownian motion of colloidal particles for studies of di
  
   129 ian noise of classic circuits imposed by the Brownian motion of electrons, hence it may have to be mi
   130 state to the NPC, and is solely due to rapid Brownian motion of FG-repeats, not FG-repeat hydrophobic
   131 ntally by measuring characteristic times for Brownian motion of fluorescent nanospheres through the v
  
   133 properties of living cells by monitoring the Brownian motion of individual microinjected fluorescent 
   134 orithm is a lattice-based method that tracks Brownian motion of individual molecules and the stochast
  
  
   137 ion of biological processes can be driven by Brownian motion of macromolecular complexes with one-sid
  
  
   140 oise-limited, high-bandwidth measurements of Brownian motion of micrometer-sized beads suspended in w
  
  
   143 s whose asymmetric disposition rectifies the Brownian motion of molecules driven through the device, 
  
   145 e oxide (RGO), we successfully inhibited the Brownian motion of NMO that led to reduced agglomeration
  
   147 coelastic shear moduli are inferred from the Brownian motion of particles embedded in the cytoskeleta
   148  prohibit extraction of useful work from the Brownian motion of particles in equilibrium, these motio
  
   150 the effect of intermolecular interactions on Brownian motion of proteins, we performed (1)H pulsed-fi
   151 thering, we have tracked the nanometer-scale Brownian motion of RNA-tethered fluorescent microspheres
  
  
   154 d relaxed circular molecules by tracking the Brownian motion of single molecules with fluorescence mi
  
   156 ian Electrokinetic (ABEL) trap to counteract Brownian motion of single particles in real time, we dir
  
   158 on a surface is achieved by using the biased brownian motion of stimuli-responsive rotaxanes ('molecu
   159 Measurement of the instantaneous velocity of Brownian motion of suspended particles in liquid probes 
   160 from a generalized Smoluchowski equation for Brownian motion of the actin-bead "dumbbell," and time s
   161 e clamp is not fast enough to compensate the Brownian motion of the bead, interpretation or analysis 
   162  magnetic beads was found to be dependent on Brownian motion of the beads, suggesting a 99% chance of
   163 ngly suggest that the anisotropic rotational Brownian motion of the clusters combined with short-rang
  
   165 gion can be described by a spring model with Brownian motion of the fragments in a harmonic potential
   166  view, the work reported here indicates that Brownian motion of the hair bundle serves to enhance the
   167 tion of the spin is used to sense driven and Brownian motion of the resonator under ambient condition
  
  
  
  
  
   173 ivity of the signal to the thermally-induced Brownian motions of water molecules and in vivo measurem
   174 ents build on combining analyses of confined Brownian-motion of bacteria adhering to glass and their 
  
   176 t is unlikely to be mediated by centromeres, Brownian motion or random drift and must be caused by an
   177  distinct therapeutic-induced changes in the Brownian motion (or diffusion) of water within tumor tis
   178 ng against fluctuating obstacles (fractional brownian motion) or nonergodic with a broad distribution
   179 characterizing both diffusive and fractional Brownian motion overlaid by flow and analytically calcul
   180 oltage-dependent ion channel is treated as a Brownian motion particle undergoing spatial diffusion al
  
   182 t for detailed study by optical methods, but Brownian motion prevents the observation of one single m
  
  
  
   186 ion, cell pairs showed an essentially random Brownian motion, similar to the case for untreated, isol
   187 amics of individual polymer chains driven by brownian motion: since individual chains can only move i
  
   189 positional displacements arising from biased Brownian motion that are kinetically captured and then d
   190 ential growth of cell populations (geometric Brownian motion) that are terminated randomly around a g
  
   192 viruses cannot encounter target cells due to Brownian motion, their short half-lives, and the require
  
   194  diameter-dependent manner and adopt a rapid Brownian motion, thereby forming a porous and highly dyn
   195 e oscillations are larger than expected from Brownian motion, they must result from an active process
   196 ult of rapid interparticle collisions due to Brownian motion; this interpretation is consistent with 
   197 heet domains are highly mobile and driven by Brownian motion to elicit phosphoenzyme formation and ca
  
   199 he ribosome as a molecular machine employing Brownian motion to reach a functionally productive state
   200 n external energy source (light) into biased brownian motion to transport a macroscopic cargo and do 
   201 nd for downstream target positioning regular Brownian motion turns out to be the advantageous search 
   202 During centrifugation, nanoparticles undergo Brownian motion under an external field and move with di
   203 in diffusion in solution can be described as Brownian motion up to physiological concentration and th
   204 les by the laser, we analyzed their measured Brownian motion using, to our knowledge, a newly derived
  
   206     For short times, the ballistic regime of Brownian motion was observed, in contrast to the usual d
   207 ads were injected in jellyfish ECM and their Brownian motion was recorded to determine the mechanical
   208    Shark movements were best approximated by Brownian motion when hunting near abundant, predictable 
   209 , both phases are affected by fluid drag and Brownian motion, which are themselves governed by cell g
   210 ion for various surfaces, we obtain confined Brownian motion, which has direct applications to many b
   211 d individuals can be modeled by resorting to brownian motion, which is applicable when long-range mov
   212 escentus cells attached to a surface undergo Brownian motion while confined effectively in a harmonic
   213 t by noting that the substrate, by virtue of Brownian motion, will make repeated attempts to enter th
   214 hly heterogeneous and cannot be described as Brownian motion with a single diffusion coefficient.    
   215 s, strong chaos leads to diffusive behavior (Brownian motion with drift) and weak chaos leads to supe
   216 lutions of the many-body master equation for Brownian motion with motorized kicking we obtain a close
   217 o enhanced diffusion far beyond the level of Brownian motion with possible influences on the spatial 
   218 sion (subdiffusion) that converges back to a Brownian motion with reduced diffusion coefficient at lo
  
  
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