A computational framework for the morpho-elastic development of molluskan shells by surface and volume growth

Mollusk shells are an ideal model system for understanding the morpho-elastic basis of morphological evolution of invertebrates' exoskeletons. During the formation of the shell, the mantle tissue secretes proteins and minerals that calcify to form a new incremental layer of the exoskeleton. Most of the existing literature on the morphology of mollusks is descriptive. The mathematical understanding of the underlying coupling between pre-existing shell morphology, de novo surface deposition and morpho-elastic volume growth is at a nascent stage, primarily limited to reduced geometric representations. Here, we propose a general, three-dimensional computational framework coupling pre-existing morphology, incremental surface growth by accretion, and morpho-elastic volume growth. We exercise this framework by applying it to explain the stepwise morphogenesis of seashells during growth: new material surfaces are laid down by accretive growth on the mantle whose form is determined by its morpho-elastic growth. Calcification of the newest surfaces extends the shell as well as creates a new scaffold that constrains the next growth step. We study the effects of surface and volumetric growth rates, and of previously deposited shell geometries on the resulting modes of mantle deformation, and therefore of the developing shell's morphology. Connections are made to a range of complex shells ornamentations.Comment: Main article is 20 pages long with 15 figures. Supplementary material is 4 pages long with 6 figures and 6 attached movies. To be published in PLOS Computational Biolog

Analysis of slip-weakening frictional laws with static restrengthening and their implications on the scaling, asymmetry and mode of dynamic rupture on homogeneous and bi-material interfaces

Dynamic simulations of homogeneous and heterogeneous fault rupture using the finite element method are presented giving rise to both crack-like and pulse-like rupture. We employ various slip-weakening frictional laws to examine their effect on the resulting earthquake rupture speed, size and mode. More complex rupture characteristics were produced with more strongly slip-weakening frictional laws, and the degree of slip-weakening had to be finely tuned to reproduce realistic earthquake rupture characteristics. Rupture propagation on a fault is controlled by the constitutive properties of the fault. A dynamic elasto-plastic constitutive law for the interface friction at the fault is formulated based on the Coulomb failure criterion and applied in a way analogous to non-associated elasto-plasticity. We provide benchmark tests of our method against other reported solutions in the literature. We demonstrate the applicability of our elasto-plastic fault model for modeling dynamic rupture and wave propagation in fault systems, and the rich array of dynamic properties produced by our elasto-plastic finite element fault model. These are governed by a number of model parameters including: the spatial and material heterogeneity of the fault, the fault strength, and not least of all the frictional law employed. Asymmetric bilateral fault rupture was produced for the heterogeneous case, where the degree of heterogeneity influenced the rupture speed in the different propagation directions

Stepped Care for Smoking Cessation: A Cost-Effectiveness Analysis and Simulation of Future Outcomes

It has been well established that smoking is the leading avoidable cause of premature morbidity and mortality in the United States and abroad. Smoking is attributable to over 400,000 annual deaths, and $193 billion in healthcare costs and lost productivity. Despite the apparent dangers and tremendous costs of tobacco use and dependence, smokers find difficulty quitting. Recently, stepped care has been proposed as a viable intensive approach for achieving long-term cessation. This research sought to evaluate cost-effectiveness of stepped care in a diverse population of smokers and analyze future health outcomes of smoking cessation. Cost-effectiveness analysis was conducted from an institutional perspective alongside an NIH-funded multi-site study, “Long-term Smoking Cessation Using Prescription Step Care” (STEP), which compared stepped care to a repeat care intervention. The outcome of interest was incremental cost per quit achieved by stepped care. Secondly, long-term cost-effectiveness of successful smoking cessation was analyzed using a societal perspective. A microsimulation model was developed to predict changes in morbidity and mortality over the lifetime for four smoking-related diseases (ischemic heart disease, cerebrovascular disease, lung cancer, and emphysema) due to successful cessation. Here, the outcome of interest was incremental cost per quality-adjusted life year due to successful cessation. Lastly, sensitivity analyses were conducted to gauge robustness of estimates. In the STEP study, costs for stepped versus repeat care were$875.09 and $422.26, respectively. Point-prevalence abstinence was validated among 20.5$49,025 and $48,956, respectively; QALYS gained were 8.62 and 8.6, for the aforementioned analyses. Successful cessation yielded incremental cost-effectiveness of$3,450 per QALY. In sensitivity analysis, incremental cost-effectiveness varied from cost-saving to $13,700 per QALY. Stepped care was not cost-effective relative to repeat intervention. Quitting at the UTHSC site and among ethnic minorities was low, despite better rates of participation. Higher depression scores may have attributed to these results. Success of repeat care in STEP affirms findings of two recent studies. However, long-term cessation did prove highly cost-effective. Smoking cessation interventions continue to be extremely cost-effective and provide sizable returns on investment to employers and payers alike; enhanced coverage of smoking cessation treatments and programs will likely increase quit attempts and ultimately, cessation

A Landscape Analysis of Constraint Satisfaction Problems

We discuss an analysis of Constraint Satisfaction problems, such as Sphere Packing, K-SAT and Graph Coloring, in terms of an effective energy landscape. Several intriguing geometrical properties of the solution space become in this light familiar in terms of the well-studied ones of rugged (glassy) energy landscapes. A `benchmark' algorithm naturally suggested by this construction finds solutions in polynomial time up to a point beyond the `clustering' and in some cases even the `thermodynamic' transitions. This point has a simple geometric meaning and can be in principle determined with standard Statistical Mechanical methods, thus pushing the analytic bound up to which problems are guaranteed to be easy. We illustrate this for the graph three and four-coloring problem. For Packing problems the present discussion allows to better characterize the `J-point', proposed as a systematic definition of Random Close Packing, and to place it in the context of other theories of glasses.Comment: 17 pages, 69 citations, 12 figure

Mode Switching Is the Major Mechanism of Ligand Regulation of InsP3 Receptor Calcium Release Channels

The inositol 1,4,5-trisphosphate (InsP3) receptor (InsP3R) plays a critical role in generation of complex Ca2+ signals in many cell types. In patch clamp recordings of isolated nuclei from insect Sf9 cells, InsP3R channels were consistently detected with regulation by cytoplasmic InsP3 and free Ca2+ concentrations ([Ca2+]i) very similar to that observed for vertebrate InsP3R. Long channel activity durations of the Sf9-InsP3R have now enabled identification of a novel aspect of InsP3R gating: modal gating. Using a novel algorithm to analyze channel modal gating kinetics, InsP3R gating can be separated into three distinct modes: a low activity mode, a fast kinetic mode, and a burst mode with channel open probability (Po) within each mode of 0.007 ± 0.002, 0.24 ± 0.03, and 0.85 ± 0.02, respectively. Channels reside in each mode for long periods (tens of opening and closing events), and transitions between modes can be discerned with high resolution (within two channel opening and closing events). Remarkably, regulation of channel gating by [Ca2+]i and [InsP3] does not substantially alter channel Po within a mode. Instead, [Ca2+]i and [InsP3] affect overall channel Po primarily by changing the relative probability of the channel being in each mode, especially the high and low Po modes. This novel observation therefore reveals modal switching as the major mechanism of physiological regulation of InsP3R channel activity, with implications for the kinetics of Ca2+ release events in cells

Visual Tracking: An Experimental Survey

There is a large variety of trackers, which have been proposed in the literature during the last two decades with some mixed success. Object tracking in realistic scenarios is difficult problem, therefore it remains a most active area of research in Computer Vision. A good tracker should perform well in a large number of videos involving illumination changes, occlusion, clutter, camera motion, low contrast, specularities and at least six more aspects. However, the performance of proposed trackers have been evaluated typically on less than ten videos, or on the special purpose datasets. In this paper, we aim to evaluate trackers systematically and experimentally on 315 video fragments covering above aspects. We selected a set of nineteen trackers to include a wide variety of algorithms often cited in literature, supplemented with trackers appearing in 2010 and 2011 for which the code was publicly available. We demonstrate that trackers can be evaluated objectively by survival curves, Kaplan Meier statistics, and Grubs testing. We find that in the evaluation practice the F-score is as effective as the object tracking accuracy (OTA) score. The analysis under a large variety of circumstances provides objective insight into the strengths and weaknesses of trackers