Modeling the effects of enclosure size on geometry learning

Several recent studies have shown that chickens, fish, and humans trained to find a reward in a corner of a rectangular enclosure with distinctive features rely more on the geometry of the enclosure in small enclosures and rely more on the features in large enclosures. Here, these results are modeled using a recent associative model of geometry learning [Miller, N.Y., Shettleworth, S.J., 2007. Learning about environmental geometry: an associative model. J. Exp. Psychol. Anim. B 33, 191–212]. By adjusting the salience of either geometric or featural information or both the model is capable of reproducing much of the data on the effects of enclosure size on geometry learning.     

Human leg design: optimal axial alignment under constraints

Alignment of joints with respect to the leg axis reduces the moment arm of external forces and therefore joint torques. Moreover, it affects the gearing of muscle forces and displacements. Thus, it influences tissue stress, cost of support and locomotion, and stability. Assuming that alignment is of general advantage we propose a mathematical criterion quantifying the axial alignment using the static torque equilibrium of a three-segment leg. Using this criterion derived from joint torque minimisation we asked for optimal leg designs (segment lengths and joint angles) at varied leg lengths. The trivial straight is best solution is excluded and the configuration space is restricted by geometrical constraints such as the ground contact. For different total leg lengths we could identify different optimal segment length combinations and appropriately adjusted joint angles. The extended human leg configuration characterised by a short foot and a combination of unequal ankle and knee angles emerges as a global optimum from our analysis. For crouched configurations allowing for larger leg extensions an angle symmetrical 1:1:1 segment length combination is best. The plantigrade optimum is enforced by the requirement of the distal segment (foot) being shorter than the opposite outer segment (thigh), as well as by the ground contact constraint. Different (e.g. digitigrade) geometries might be of advantage in different biological contexts with different constraints. The fact that small mammals use a crouched equal segment design implies that other locomotor requirements such as stability, strain rates, and acceleration distance per step might dominate.Send offprint requests to: M. Günther (Tübingen)     

Do hormonal changes that appear at the onset of puberty determine the strategies used by female rats when solving a navigation task?

The present set of experiments evaluated the possibility that the hormonal changes that appear at the onset of puberty might influence the strategies used by female rats to solve a spatial navigation task. In each experiment, rats were trained in a triangular shaped pool to find a hidden platform which maintained a constant relationship with two sources of information, one individual landmark and one corner of the pool with a distinctive geometry. Then, three test trials were conducted without the platform in counterbalanced order. In one, both the geometry and the landmark were simultaneously presented, although in different spatial positions, in order to measure the rats' preferences. In the remaining test trials what the rats had learned about the two sources of information was measured by presenting them individually. Experiment 1, with 60-day old rats, revealed a clear sex difference, thus replicating a previous finding (Rodríguez et al., 2010): females spent more time in an area of the pool that corresponded to the landmark, whereas males spent more time in the distinctive corner of the pool even though the remaining tests revealed that both sexes had learned about the two sources of information. In Experiment 2, 30-day old female rats, unlike adults, preferred to solve the task using the geometry information rather than the landmark (although juvenile males behaved in exactly the same way as adults). Experiment 3 directly compared the performance of 90- and 30-day old females and found that while the adult females preferred to solve the task using the landmark, the reverse was true in juvenile females. Experiment 4 compared ovariectomized and sham operated females and found that while sham operated females preferred to solve the task using the landmark, the reverse was true in ovariectomized females. Finally, Experiment 5 directly compared adult males and females, juvenile males and females, and ovariectomized females and found that adult males, juvenile males and females, and ovariectomized females did not differ among them in their preferred cue, but they all differed from adult females.     

DRF90: a polarizable force field

The direct reaction field (DRF) approach has proven to be a useful tool to investigate the influence of solvents on the quantum/classical behaviour of solute molecules. In this paper, we report the latest extension of this DRF approach, which consists of the gradient of the completely classical energy expressions of this otherwise QM/MM method. They can be used in (completely classical) molecular dynamics (MD) simulations and geometry optimizations, that can be followed by a number of single point QM/MM calculations on configurations obtained in these simulations/optimizations. We report all energy and gradient expressions, and results for a number of interesting (model) systems. They include geometry optimization of the benzene dimer as well as MD simulations of some solvents. The most stable configuration for the benzene dimer is shown to be the parallel-displaced form, which is slightly more stable (0.3 kcal/mol) than the T-shaped dimer.     

Geometrical and material parameters to assess the macroscopic mechanical behaviour of fresh cranial bone samples

The present study aims at providing quantitative data for the personalisation of geometrical and mechanical characteristics of the adult cranial bone to be applied to head FE models. A set of 351 cranial bone samples, harvested from 21 human skulls, were submitted to three-point bending tests at 10 mm/min. For each of them, an apparent elastic modulus was calculated using the beam's theory and a density-dependant beam inertia. Thicknesses, apparent densities and percentage of ash weight were also measured. Distributions of characteristics among the different skull bones show their symmetry and their significant differences between skull areas. A data analysis was performed to analyse potential relationship between thicknesses, densities and the apparent elastic modulus. A specific regression was pointed out to estimate apparent elastic modulus from the product of thickness by apparent density. These results offer quantitative tools in view of personalising head FE models and thus improve definition of local injury criteria for this body part.     

基于Z曲线的核酸序列可视化分析平台研究

随着Z曲线的提出,用几何学的方法研究DNA序列得到了发展。利用z曲线的思想对核酸序列的可视化分析平台的构建进行了研究,提出了基于包围盒的多精度抽稀算法,实现了从DNA序列到三维空间点和曲线的直接转换。     

Power-law scaling in dimension-to-biomass relationship of fish schools

Motivated by the finding that there is some biological universality in the relationship between school geometry and school biomass of various pelagic fishes in various conditions, I here establish a scaling law for school dimensions: the school diameter increases as a power-law function of school biomass. The power-law exponent is extracted through the data collapse, and is close to 35. This value of the exponent implies that the mean packing density decreases as the school biomass increases, and the packing structure displays a mass-fractal dimension of 53. By exploiting an analogy between school geometry and polymer chain statistics, I examine the behavioral algorithm governing the swollen conformation of large-sized schools of pelagics, and I explain the value of the exponent.     

Rats’ use of geometric, featural and orientation cues to locate a hidden goal

Over the past 20 years, a great deal of research has examined how different animals can use the geometric properties of the environment to determine their heading. Less well studied is how rats use the geometric properties of an environment to navigate, or determine the location, when it is not necessary to establish heading. Specifically, it is unclear to what extent rats still rely on geometric cues when they are not disoriented. In the current study, rats were trained to find food in one corner of a rectangular environment under either oriented or disoriented conditions. Probe tests placed geometric, featural and orientation cues in conflict. Results showed that featural cues exerted little control over the rats’ search preferences. All rats, whether trained while oriented or trained while disoriented, used geometric cues when these were the only cues available. Rats trained in the disoriented condition preferred geometric cues to orientation cues, whereas rats trained in the oriented condition showed more equal preference for orientation and geometric cues.