Nonlinear competition between asters and stripes in filament-motor-systems

A model for polar filaments interacting via molecular motor complexes is investigated which exhibits bifurcations to spatial patterns. It is shown that the homogeneous distribution of filaments, such as actin or microtubules, may become either unstable with respect to an orientational instability of a finite wave number or with respect to modulations of the filament density, where long wavelength modes are amplified as well. Above threshold nonlinear interactions select either stripe patterns or periodic asters. The existence and stability ranges of each pattern close to threshold are predicted in terms of a weakly nonlinear perturbation analysis, which is confirmed by numerical simulations of the basic model equations. The two relevant parameters determining the bifurcation scenario of the model can be related to the concentrations of the active molecular motors and of the filaments respectively, which both could be easily regulated by the cell.Comment: 13 pages, 7 figure

Transition of Experienced and New Graduate Nurses to a Pediatric Hospital

This study reports on the 3-, 6-, 12-, and 18-month outcomes of 118 newly hired registered nurses (RNs) who completed a 12-month transition-to-practice program at a pediatric hospital. Experienced RNs (n = 42) and new graduate RNs (n = 76) showed improved organization, prioritization, communication, and leadership skills over time. The experienced RNs reported better communication and leadership skills than the new graduate nurses. Results inform transition program development for both new and experienced nurses. The American Association of Colleges of Nursing (2012) predicts that, without a multifaceted approach, a national nursing shortage will occur by 2020. Many nurses leave their first position and sometimes the profession within the first year of employment (Baxter, 2010; Welding, 2011). Retaining nurses is a vital component of any approach to averting a nursing shortage. In an attempt to retain nurses, healthcare institutions often provide a transition-to-practice (TTP) or nurse residency program for new graduate nurses (NGN) entering the profession. The Institute of Medicine (2011) in its Future of Nursing report also recommends a transition program for nurses moving to a new specialty or to advanced practice roles. Completing a NGN transition program is associated with a decrease in nurse attrition by as much as 80% (Halfer, Graf, & Sullivan, 2008; Rush, Adamack, Gordon, Lilly, & Janke, 2013; Spector et al., 2015). This reported decrease has led to organizational interest in transition programs to improve retention. The goals of residency programs for the NGN have ranged from increasing new nurse confidence and competence, to increasing satisfaction and retention (Fink, Krugman, Casey, & Goode, 2008; Goode, Lynn, McElroy, Bednash, & Murray, 2013; Institute of Medicine, 2011; Spector et al., 2015). Although literature supports the effectiveness of transition programs for the NGN (Fink et al., 2008; Goode et al., 2013; Spector et al., 2015), there is little evidence on the experienced nurse’s transition to a new specialty practice. Furthermore, most transition programs do not report outcomes beyond the first 12 months of employment. Thus, the purpose of this study is to evaluate nurse stressors and supports during and after a 12-month transition-to-employment program for both new and experienced nurses transitioning to a pediatric practice

Dewetting of thin polymer films: Influence of interface evolution

The dewetting dynamics of ultrathin polymer films, e.g. in the model system of polystyrene on a polydimethylsiloxane-covered substrate, exhibits interesting behavior like a fast decay of the dewetting velocity and a maximum in the width of the built-up rim in the course of time. These features have been recently ascribed to the relaxation of residual stresses in the film that stem from the nonequilibrium preparation of the samples. Recent experiments by Coppee et al. on PS with low molecular weight, where such stresses could not be evidenced, showed however similar behavior. By scaling arguments and numerical solution of a thin film viscoelastic model we show that the maximum in the width of the rim can be caused by a temporal evolution of the friction coefficient (or equivalently of the slip length), for which we discuss two possible mechanisms. In addition, the maximum in the width is affected by the sample age. As a consequence, knowing the temporal behavior of friction (or slip length) in principle allows to measure the aging dynamics of a polymer-polymer interface by simple dewetting experiments.Comment: 6 pages, 2 figure

Stripe-hexagon competition in forced pattern forming systems with broken up-down symmetry

We investigate the response of two-dimensional pattern forming systems with a broken up-down symmetry, such as chemical reactions, to spatially resonant forcing and propose related experiments. The nonlinear behavior immediately above threshold is analyzed in terms of amplitude equations suggested for a $1:2$ and $1:1$ ratio between the wavelength of the spatial periodic forcing and the wavelength of the pattern of the respective system. Both sets of coupled amplitude equations are derived by a perturbative method from the Lengyel-Epstein model describing a chemical reaction showing Turing patterns, which gives us the opportunity to relate the generic response scenarios to a specific pattern forming system. The nonlinear competition between stripe patterns and distorted hexagons is explored and their range of existence, stability and coexistence is determined. Whereas without modulations hexagonal patterns are always preferred near onset of pattern formation, single mode solutions (stripes) are favored close to threshold for modulation amplitudes beyond some critical value. Hence distorted hexagons only occur in a finite range of the control parameter and their interval of existence shrinks to zero with increasing values of the modulation amplitude. Furthermore depending on the modulation amplitude the transition between stripes and distorted hexagons is either sub- or supercritical.Comment: 10 pages, 12 figures, submitted to Physical Review

Possible origins of macroscopic left-right asymmetry in organisms

I consider the microscopic mechanisms by which a particular left-right (L/R) asymmetry is generated at the organism level from the microscopic handedness of cytoskeletal molecules. In light of a fundamental symmetry principle, the typical pattern-formation mechanisms of diffusion plus regulation cannot implement the "right-hand rule"; at the microscopic level, the cell's cytoskeleton of chiral filaments seems always to be involved, usually in collective states driven by polymerization forces or molecular motors. It seems particularly easy for handedness to emerge in a shear or rotation in the background of an effectively two-dimensional system, such as the cell membrane or a layer of cells, as this requires no pre-existing axis apart from the layer normal. I detail a scenario involving actin/myosin layers in snails and in C. elegans, and also one about the microtubule layer in plant cells. I also survey the other examples that I am aware of, such as the emergence of handedness such as the emergence of handedness in neurons, in eukaryote cell motility, and in non-flagellated bacteria.Comment: 42 pages, 6 figures, resubmitted to J. Stat. Phys. special issue. Major rewrite, rearranged sections/subsections, new Fig 3 + 6, new physics in Sec 2.4 and 3.4.1, added Sec 5 and subsections of Sec

Reply to comment by Baohua Ji

Reply to the comment by B. Ji [1] in this special issue

Modular approach for modeling cell motility

Modeling cell movement is a challenging task since the motility machinery is highly complex. Moreover, there is a rather broad diversity of different cell types. In order to obtain insights into generic features of the motility mechanisms of several distinct cell types, we propose a modular approach that starts with a minimal model, consisting of a phase field description of the moving cell boundary and a simplified internal dynamics. We discuss how this starting point can be extended to increase the level of detail, and how the internal dynamics “module” can be changed/adjusted to properly model various cell types. The former route allows studying specific processes involved in cell motility in the framework of a self-organized moving domain, and the latter might permit to put different cellular motility mechanisms into a unified framework

Comment on Falcke et al., “Polymerization, bending, tension: What happens at the leading edge of motile cells?”

Commentary on the contribution by M. Falcke and J. Zimmermann [1] in this special issue

Electro-hydrodynamic instability of stressed viscoelastic polymer films

We study the stability of a viscoelastic thin polymer film under two destabilization factors: the application of an electric field normal to the surface --as in typical electro-hydrodynamic destabilization experiments- and the presence of a frozen-in internal residual stress, stemming from the preparation process of the film, typically spin-coating. At the film-substrate interface we consider a general boundary condition, containing perfect gliding on slippery substrates, as well as perfect sticking of the film to the substrate as limiting cases. We show that the interplay of the two sources of stress, the viscoelasticity and the boundary condition, leads to a rich behavior, especially as far as the fastest growing wave number (or wavelength) is concerned. The latter determines the initial growth of the instability, and often also the final pattern obtained in small capacitor gaps, and is the main experimental observable

Effects of In-plane Elastic Stress and Normal External Stress on Viscoelastic Thin Film Stability

Motivated by recent experiments on the electro-hydrodynamic instability of spin-cast polymer films, we study the undulation instability of a thin viscoelastic polymer film under in-plane stress and in the presence of either a close by contactor or an electric field, both inducing a normal stress on the film surface. We find that the in-plane stress affects both the typical timescale of the instability and the unstable wavelengths. The film stability is also sensitive to the boundary conditions used at the film-substrate interface. We have considered two conditions, either rigidly attaching the film to the substrate or allowing for slip