Search

10 Apr 2011: PHYSICS OF FLUIDS 17, 083101 2005. Stalactite growth as a free-boundary problemMartin B. ShortDepartment of Physics, University of Arizona, Tucson, Arizona 85721. James C. BaygentsDepartment of Chemical and Environmental Engineering and Program in

10 Apr 2011: Tanalysis involves the merging of two previously independideas from dynamical systems theory: The couplingslaved small spatial scales to low-mode dynamics as inreduction of dissipative PDEs to inertial manifolds,24 and ... 24! Again, for B. 1, this

13 Aug 2011: 24. We need to identify the above two frequencies on the left-hand side.

10 Apr 2011: Therefore, we expect the MSC to describe fronpropagation at smalla if it applies at all [24]. ... 23] H. Lamb, Hydrodynamics(Cambridge University Press,Cambridge, England, 1993), 6th ed. [24] Preliminary numerical studies by D.

10 Apr 2011: J. Fluid Mech. (2010), vol. 647, pp. 287–308. c Cambridge University Press 2010doi:10.1017/S0022112009993910. 287. On the mechanisms of icicle evolution. JEROME A. NEUFELD†, RAYMOND E. GOLDSTEINAND M. GRAE WORSTER. Institute of Theoretical

1 Sep 2011: 2.24) is attained by ω(k)n. It seems to be so if k >. m1m22 (when it looks that. ‖ω(k)n ‖ = ω(k)n (1)). Theorem 2.12 (Shadrin ... 24 Twelve Proofs of the Markov Inequality. The proof we are going now to present is, in fact, not that of Bernstein

22 Nov 2011: The problem is not new, and therehave been many different approaches developed for its solution (see, for example, [2, 11, 12, 17, 18, 22,23, 24, 25, 52] and references therein).

14 Feb 2011: 0.0997679 0.0314839 0 23 0 199.5 15.5 0.155559 -0.167651 0 24 0 207.5 15.5 -0.00544606 -0.227898 0 25 0 215.5 ... 1 199.5 23.5 0.610019 0.125893 0 24 1 207.5 23.5 0.668408 0.386805 0 25 1 215.5 23.5 0.565238 0.810526

10 Apr 2011: This argument is similar in spiritto that posed by Levinthal and Crane [24] in the con-text of DNA transcription. ... Hohenberg, Physica (Amster-dam) 56D, 303 (1992). [24] C. Levinthal and H.

10 Apr 2011: The last term in Eq. 1 describesthe coupling to strain rate tensor E Exy = xvy yvx 21,24.Our further analysis shows that while this term has somequantitative effect, e.g., ... F. Edwards, The Theory of Polymer DynamicsClarendon Press, Oxford, 1988. 24 N.

10 Apr 2011: The electrostatic contribution was first determined by Odijk [24] and independently by Skolnick and Fixman [25] in the Debye- Hiickel approximation. ... 23). (24). H.N.W. Lekkerkerker I Curvature elasticity o f charged monolayers 325.

10 Apr 2011: Lipidmembranes do behave as two-dimensional f luids and can sup-port shear (24). ... Cole L, Orlovich DA, Ashford AE (1998) Fungal Genet Biol 24:86 –100.7.

24 Aug 2011: on August 24, 2011rsif.royalsocietypublishing.orgDownloaded from. J. R. Soc. Interface (2011) 8, 1409–1417. ... 36 h. 12 h6 h 18 h. 24 h48/0 h. 42 h.

10 Apr 2011: 24 (SE = 0.03,P > 0.0001) and confirmed that section Volvox spe-cies have on average a significantly higher Vup thancolonies that do not retain robust cytoplasmaticbridges (estimate = 0.28,

10 Apr 2011: 2Program in Applied Mathematics, University of Arizona, Tucson, Arizona 85721, USA(Received 23 December 2003; published 24 August 2004). ... Rev.Lett. 71, 3975 (1993). [24] P. N. Segre, E. Herbolzheimer, and P.

10 Apr 2011: This progression along the “devel-opmental path” [24] can work on a global scale to breakthe symmetry of circular waves, either by competition witha postulated third wave [19], tuning of the ... 24] A. Goldbeter and L. A. Segel, Differentiation 17,

10 Apr 2011: This and oobservations (e.g., of slow stress relaxation [24]) stronsuggest a dominant dissipative mechanismwithin the fila-ment, characterized by a very much largerzr. ... Chem. Phys.70, 2991. (1979); J. M. Schurr, Chem. Phys.84, 71 (1984).[24] J.

10 Apr 2011: However,the deepest energetic minima occur for axisymmetricwires [24], and axisymmetry, once present, is preservedby the diffusion equation, so that Jahn-Teller distortionsare most likely suppressed dynamically. ... 24] D. F. Urban, J. Bürki, C.-H.

20 Jan 2011: American University ofBeirut, Beirut, Lebanon5 The Mathematical Institute, Oxford University, 24–29 St Giles, Oxford OX1 3LB, UK. ... Substituting (2.24) into (2.23) gives the system (2.18) for the1-forms ei.

10 Apr 2011: xj ij4s 1 Gas 2 1jsss. (10). Numerical solution [24] of (10) yields a critical valueac 8.9G [confirming dimensional analysis of Eq. ... Mod. Phys. 65, 851. (1993).[24] W. H. Press, W. T. Vetterling, S.

10 Apr 2011: 24, 321 (2002). [11] K. C. Leptos, J. S. Guasto, J.

11 Dec 2011: Prolongation II. k (Jk1(S2(TU))) (Jk(Pr(U))) (ker σk) obstructions0 9 4 5 01 18 12 6 02 30 24 6 03 45 40 5 04 63 60 3

10 Apr 2011: This canmodify significantly the rate of transport to an absorbing surface(24) and modify the hang time (25). ... 1976) Nature 259, 200 –201.24. Acrivos, A. & Taylor, T. D.

10 Apr 2011: J Fluid Mech 647:201–219. 24. Călugăreanu G (1959) L’intégral de Gauss et l’analyse des noeuds tridimensionnels. ... Jordan arcs and prescribed surfaces. Proc Natl Acad Sci USA 24:97–101.33.

10 Apr 2011: LabVIEW wasused to trigger the camera and control the LED light intensity time series.The temperature in the sample chamber was 24.5 0.5 C. ... Trends Cell Biol4:305–310. 24. Friedrich BM, Jülicher F (2007) Chemotaxis of sperm cells.

10 Apr 2011: 4 A), representing either depletion or waste, alsoprovide spatially and temporally extended signals for the presenceof a colony, perhaps significant for intercolony communication, asin sexual induction (23) and quorum sensing (24), ... Michod, R. E. (2004

10 Apr 2011: 23). From (22) and (23)PJL. For a given power P and frequency / , equation (24) gives a maximum value ofuwhen ,X. ... the observed value is 24/14.

10 Apr 2011: Onemilliliter of 24-h stock was added to 50 ml of TB and incubated for18 h. ... O. (1992) Annu. Rev. Fluid Mech. 24, 313–358.12. Hillesdon, A. J., Pedley, T.

10 Apr 2011: 2µR(µS. e. cAµ. ) Rµ. (µS. e. cAµ. )= 0 (24). ... ln R (i/η)S = ln to rewrite the pair of equations (24) and (25) as[(.

11 Jun 2011: Protozool. 24:284–8. Smith, G. M. 1944. A comparative study of the species of Volvox.Trans.

10 Apr 2011: The ratio of theseadvective and diffusive terms, or equivalently the ratio of thediffusion time L2D to the advective time LU, then defines thePeclet number (24),. ... 23. Wu, X.-L. & Libchaber, A. (2000) Phys. Rev. Lett. 84, 3017–3020.24.

10 Apr 2011: www.sciencemag.org SCIENCE VOL 325 24 JULY 2009 401. PERSPECTIVES. fl agella beat in synchrony, they. ... 24 JULY 2009 VOL 325 SCIENCE www.sciencemag.org 402. PERSPECTIVES. stein, Science 325, 487 (2009).

10 Apr 2011: O. Kessler, Annu. Rev. Fluid Mech. 24, 313. 1992.5 C. Dombrowski, L. ... R. Soc. London, Ser. A 219, 186 1953;. 223, 446 1954.24 B.

10 Apr 2011: S2B.The temperature was monitored by a thermistor attached to thesample chamber and found to be 24.5 0.5 C. ... During the assay, temperature was measuredwith a thermistor attached to the rectangular Petri dishes andfound to be in the range 24 1 C.

14 Feb 2011: 0.656853 0.108999 0 23 0 199.5 15.5 0.708149 0.112969 0 24 0 207.5 15.5 0.908188 -0.0192405 0 25 0 215.5 ... 1 199.5 23.5 0.808678 -0.164453 0 24 1 207.5 23.5 0.955868 -0.206018 0 25 1 215.5 23.5 0.975417 -0.280142

6 Jul 2011: 1B), where η is the viscosity, and the distance betweenthe forces (24, 25). ... sions. Chem Phys 375:557–567.24. Batchelor GK (1970) The stress system in a suspension of force-free particles.

10 Apr 2011: microscope stage at 24 C. ... See [3]. [16] J. Lighthill, Mathematical Biofluiddynamics (SIAM,Philadelphia, 1975). [17] Fiber density at 24 C in TB is 1.015 gcm3 from thesedimentation velocity y 29R2Drgh of fiber-ballstructures of

10 Apr 2011: but when permanently deflagellated colonies were placed in artificially mixed. medium, they grew as well as normal flagellated colonies [24]. ... USA) 102, 2277–2282 (2005)24. Solari, C.A., Ganguly, S., Kessler, J.O., Michod, R.E., Goldstein, R.E.:

10 Apr 2011: barberi have a deriveddevelopmental programme and perform binary fissionto produce daughter colonies [13,23,24]. ... 36 h. 12 h6 h 18 h. 24 h48/0 h. 42 h.

10 Apr 2011: Yet, existingimplementations of this technique cannot be easily adaptedto track microscopic objects;24,25 they either have a con-trolled but undesirable shear flow,26 have not integrated anycontrol of thermal ... This approach is oftentaken in 3D

10 Apr 2011: 0.947 1.422 0.380 0.589. 291.155 265.827 31.473 24.649 3.488 6.172. 3626.522 116.233 18.702 14.883 2.529

14 Feb 2011: 0.0414629 -0.503075 0 23 0 199.5 15.5 -0.404664 -0.583802 0 24 0 207.5 15.5 -0.422605 -0.814722 0 25 0 215.5 ... 1 199.5 23.5 -0.275451 -0.423726 0 24 1 207.5 23.5 -0.30813 -0.621634 0 25 1 215.5 23.5 -0.724355 -0.488508

14 Feb 2011: 0.290596 -0.24112 0 23 0 199.5 15.5 -0.376025 -0.338739 0 24 0 207.5 15.5 -0.280888 -0.302737 0 25 0 215.5 ... 1 199.5 23.5 -0.436015 -0.559131 0 24 1 207.5 23.5 -0.430479 -0.48414 0 25 1 215.5 23.5 -0.485021 -0.426775

14 Feb 2011: 0.217443 0.418077 0 23 0 199.5 15.5 -0.0635363 0.475901 0 24 0 207.5 15.5 0.0973334 0.396953 0 25 0 215.5 ... 1 199.5 23.5 -0.0343243 0.370608 0 24 1 207.5 23.5 0.261969 0.182826 0 25 1 215.5 23.5 0.784576 0.0539546

14 Feb 2011: 0.181834 1.14719 0 23 0 199.5 15.5 0.138329 1.11891 0 24 0 207.5 15.5 0.0823164 0.423928 0 25 0 215.5 ... 1 199.5 23.5 0.223808 1.05717 0 24 1 207.5 23.5 0.167165 0.605249 0 25 1 215.5 23.5 0.282631 -0.2458

14 Feb 2011: 0.168503 0.897441 0 23 0 199.5 15.5 0.0220308 0.497143 0 24 0 207.5 15.5 0.396443 -0.0767094 0 25 0 215.5 ... 1 199.5 23.5 0.721718 0.398419 0 24 1 207.5 23.5 0.723313 -0.156676 0 25 1 215.5 23.5 0.629251 -0.387883

14 Feb 2011: 0.946551 1.18691 0 23 0 199.5 15.5 1.21661 1.05068 0 24 0 207.5 15.5 0.994448 0.699578 0 25 0 215.5 ... 1 199.5 23.5 1.56346 1.1161 0 24 1 207.5 23.5 1.52493 1.22647 0 25 1 215.5 23.5 1.56992 0.988477

14 Feb 2011: 0.335302 1.0199 0 23 0 199.5 15.5 -0.190587 1.48788 0 24 0 207.5 15.5 -0.244007 1.5309 16 25 0 215.5 ... 1 199.5 23.5 -0.135826 1.47008 0 24 1 207.5 23.5 -0.0869352 1.6035 0 25 1 215.5 23.5 -0.159582 1.31376

14 Feb 2011: 0.690967 0.62399 0 23 0 199.5 15.5 -0.497372 0.456201 0 24 0 207.5 15.5 -0.124393 0.576185 0 25 0 215.5 ... 1 199.5 23.5 -0.418005 0.227604 0 24 1 207.5 23.5 -0.183774 0.27671 0 25 1 215.5 23.5 0.399933 0.47004

14 Feb 2011: 0.218081 0.83382 0 23 0 199.5 15.5 -0.34196 0.732233 0 24 0 207.5 15.5 -0.328345 0.559482 0 25 0 215.5 ... 1 199.5 23.5 -0.131694 0.694284 0 24 1 207.5 23.5 -0.0930521 0.453103 0 25 1 215.5 23.5 -0.115985 0.228419