Finite Element Modeling of Shell Shape in the Freshwater Turtle Pseudemys concinna Reveals a Trade-Off between Mechanical Strength and Hydrodynamic Efficiency

Aquatic species can experience different selective pressures on morphology in different flow regimes. Species inhabiting lotic regimes often adapt to these conditions by evolving low-drag (i.e., streamlined) morphologies that reduce the likelihood of dislodgment or displacement. However, hydrodynamic factors are not the only selective pressures influencing organismal morphology and shapes well suited to flow conditions may compromise performance in other roles. We investigated the possibility of morphological trade-offs in the turtle Pseudemys concinna. Individuals living in lotic environments have flatter, more streamlined shells than those living in lentic environments; however, this flatter shape may also make the shells less capable of resisting predator-induced loads. We tested the idea that ‘‘lotic’’ shell shapes are weaker than ‘‘lentic’’ shell shapes, concomitantly examining effects of sex. Geometric morphometric data were used to transform an existing finite element shell model into a series of models corresponding to the shapes of individual turtles. Models were assigned identical material properties and loaded under identical conditions, and the stresses produced by a series of eight loads were extracted to describe the strength of the shells. ‘‘Lotic’’ shell shapes produced significantly higher stresses than ‘‘lentic’’ shell shapes, indicating that the former is weaker than the latter. Females had significantly stronger shell shapes than males, although these differences were less consistent than differences between flow regimes. We conclude that, despite the potential for many-to-one mapping of shell shape onto strength, P. concinna experiences a trade-off in shell shape between hydrodynamic and mechanical performance. This trade-off may be evident in many other turtle species or any other aquatic species that also depend on a shell for defense. However, evolution of body size may provide an avenue of escape from this trade-off in some cases, as changes in size can drastically affect mechanical performance while having little effect on hydrodynamic performance.

Parallel vector processing of multidimensional orthogonal transforms for digital signal processing applications

The performance of the parallel vector implementation of the one- and two-dimensional orthogonal transforms is evaluated. The orthogonal transforms are computed using actual or modified fast Fourier transform (FFT) kernels. The factors considered in comparing the speed-up of these vectorized digital signal processing algorithms are discussed and it is shown that the traditional way of comparing th execution speed of digital signal processing algorithms by the ratios of the number of multiplications and additions is no longer effective for vector implementation; the structure of the algorithm must also be considered as a factor when comparing the execution speed of vectorized digital signal processing algorithms. Simulation results on the Cray X/MP with the following orthogonal transforms are presented: discrete Fourier transform (DFT), discrete cosine transform (DCT), discrete sine transform (DST), discrete Hartley transform (DHT), discrete Walsh transform (DWHT), and discrete Hadamard transform (DHDT). A comparison between the DHT and the fast Hartley transform is also included.(34 refs)

The Effects of Pi-Pi Stacking on the Controlled Radical Polymerization of Vinyl Aromatics

The atom transfer radical polymerization (ATRP) of styrene (St) was conducted in the presence of varying equivalence (eq) of hexafluorobenzene (HFB) and octafluorotoluene (OFT) to probe the effects of pi-pi stacking on the rate of the polymerization and on the tacticity of the resulting polystyrene (PSt). The extent of the pi-pi stacking interaction between HFB/OFT and the terminal polystyrenic phenyl group was also investigated as a function of solvent, both non-aromatic solvents (THF and hexanes) and aromatic solvents (benzene and toluene). In all cases the presence of HFB or OFT resulted in a decrease in monomer conversion indicating a reduction in the rate of the polymerization with greater retardation of the rate with increase eq of HFB or OFT (0.5 eq to 1 eq HFB/OFT compared to St). Additionally, when aromatic solvents were used instead of non-aromatic solvents the effect of the HFB/OFT on the rate was minimized, consistent with the aromatic solvent competitively interacting with the HFB/OFT. The effects of temperature and ligand strength on the ATRP of St in the presence of HFB were also probed. It was found that when using N,N,N’,N’,N’’-pentamethyldiethylenetriamine (PMDETA) as the ligand the effects of HFB at 38o were the same as at 86oC. When tris[2-(dimethylamino)ethyl]-amine (Me6TREN) was used as the ligand at 38o there was a decrease in monomer conversion similar to the analogous PMDETA reaction. When the polymerization was conducted at 86oC there was no effect on the monomer conversion with HFB present compared to when HFB was absent. To investigate the pi-pi stacking effect even further, the reverse pi-pi stacking system was observed by conducting the ATRP of pentafluorostyrene (PFSt) in the presence of varying eq of benzene and toluene, which in both cases resulted in an increase in monomer conversion compared to when benzene or toluene were absent; in summary the rate of the ATRP of PFSt increases when benzene or toluene waas present in the reaction. The pi-pi stacking interaction between the HFB/OFT and the dormant alkyl bromide of the polymer chain was verified by 1H-NMR with 1-bromoethylbenzene as the alkyl bromide. Also verified by 1H-NMR was the interaction between HFB/OFT and St and the interaction between PFSt and benzene. In all 1H-NMR spectra a perturbation in the aromatic and/or vinyl peaks was observed when the pi-pi stacking agent was present compared to when it was absent. The tacticity of the PSt formed in the presence of 1 eq of HFB was compared to the PSt formed in the absence of HFB by observing the C1 signal in their 13C-NMR spectra, but no change in shape or chemical shift of the signal was observed indicating that there was no change in tacticity.