Do plant parasitic nematodes have differential effects on the productivity of a fast- and a slow-growing grass species?

We have examined the interaction between plant parasitic nematodes and plant species from different stages of grassland succession. In these grasslands, fertiliser application was stopped in order to restore the former nutrient-poor ecosystems. This management resulted in a reversed succession of high- to low-productivity. Nematodes isolated from a high-productive early-successional field and a low-productive late-successional field were inoculated to sterilised soil planted with seedlings of either Lolium perenne (a fast-growing early-successional species) or Festuca rubra (a slow-growing late-successional species). The experiment was performed at low and high supply rates of nutrients. We hypothesised that at a low nutrient supply rate the growth of L. perenne will be more reduced by nematode herbivory than the growth of F. rubra. Furthermore, we hypothesised that higher numbers of plant parasitic nematodes will develop under L. perenne. We found no support for our first hypothesis, because nematodes did not affect plant growth. Our results suggest that changes in the nutrient availability rather than plant parasitic nematodes affect plant succession in impoverished grasslands. On the other hand, plant species and nutrient supply rate significantly affected the density and composition of the plant parasitic nematode community. In line with our second hypothesis, plant parasitic nematodes reproduced better on the fast-growing L. perenne than on the slow-growing F. rubra. Our results, therefore, suggest that the succession of the plant parasitic nematode community is probably more affected by changes in the plant community than the other way round.     

Estimating the elastic properties of the eye from differential tonometry by the Schiøtz tonometer: Analysis of the measurement procedure on the basis of a two-component mathematical model

Biophysics - The procedure of differential tonometry by the Schiøtz tonometer is modeled using a two-component model of the eyeball in which the cornea is represented by a momentless...     

Signal alterations of the basal ganglia in the differential diagnosis of Parkinson’s disease: a retrospective case-controlled MRI data bank analysis

Background

Based upon the acquainted loss of dopaminergic neurons in the substantia nigra in Parkinson’s disease (PD), we hypothesised changes in magnetic resonance imaging signal intensities of the basal ganglia to be useful as an additional technical tool in the diagnostic work-up.

Methods

Region-of-interest analyses (substantia nigra and globus pallidus internus) of T2-weighted scans were performed in seventy subjects with PD, 170 age- and gender-matched controls and 38 patients with an atypical form of neurodegenerative Parkinsonian syndrome (N?=?11 multisystem atrophy, N?=?22 progressive supranuclear palsy, N?=?5 corticobasal syndrome).

Results

In patients with PD, significant changes in signal intensities within the substantia nigra were observed compared to controls at p?<?0.001. For the globus pallidus internus, signal alterations in PD and progressive supranuclear palsy were found to be significant (p?<?0.001) if compared to controls. Furthermore, signal changes of substantia nigra correlated with signal intensities of globus pallidus internus in the ipsilateral hemisphere in both groups. Sensitivity was 86% and specificity was 90% for the combined analysis of substantia nigra and globus pallidus internus in the complete patient sample versus controls.

Conclusions

Signal alterations of substantia nigra and globus pallidus internus in routine magnetic resonance imaging were useful to distinguish patients with PD from controls. In addition, signal changes in globus pallidus internus could be used to differentiate progressive supranuclear palsy patients from controls. These analyses have the potential to serve as an additional non-invasive technical tool to support the individual differential diagnosis of PD.

     

Traveling wave solutions of a nonlinear reaction–advection equation

 We establish the existence of traveling wave solutions for a nonlinear partial differential equation that models a logistically growing population whose movement is governed by an advective process. Conditions are presented for which traveling wave solutions exist and for which they are stable to small semi-finite domain perturbations. The wave is of mathematical interest because its behavior is determined by a singular differential equation and those with small speed of propagation steepen into a shock-like solutions. Finally, we indicate that the smoothing presence of diffusion allows wave persistence when an advective slow moving wave may collapse. Received: 24 November 1997 / Revised version: 13 July 1998     

Does any enzyme follow the Michaelis—Menten equation?

Summary A literature search has been conducted to see to what extent steady-state kinetics studies in the period 1965–1976 have revealed deviations from Michaelis—Menten kinetics. It was found that over 800 enzymes have been reported as giving complex curves for a variety of reasons and a group by group classification of all these enzymes has been carried out listing all the types of variations reported and the authors' explanations. In addition, for highly complex curves, we have determined the minimum degree of the rate equation. There were very few determined attempts to demonstrate adherence to the Michaelis—Menten equation over a wide variety of experimental conditions and substrate concentration and almost invariably detailed experimental work revealed unsuspected complexities. For these reasons, it is concluded that the assumption that most enzymes follow the Michaelis—Menten equation can not be supported by an appeal to the literature.     

Dreissenids’ breaking loose: differential attachment as a possible driver of the dominance shift between two invasive mussel species

Biological Invasions - Ponto-Caspian dreissenids are notorious freshwater invaders. Recently, widespread observations show a dominance shift from the early invader, Dreissena polymorpha, to its...     

Patch-size and isolation effects in the Fisher–Kolmogorov equation

We examine the classical problem of the existence of a threshold size for a patch to allow for survival of a given population in the case where the patch is not completely isolated. The surrounding habitat matrix is characterized by a non-zero carrying capacity. We show that a critical patch size cannot be strictly defined in this case. We also obtain the saturation density in such a patch as a function of the size of the patch and the relative carrying capacity of the outer region. We argue that this relative carrying capacity is a measure of the isolation of the patch. Our results are then compared with conclusions drawn from observations of the population dynamics of understorey birds in fragments of the Amazonian forest and shown to qualitatively agree with them, offering an explanation for the importance of dispersal and isolation in these observations. Finally, we show that a generalized critical patch size can be introduced resorting to threshold densities for the observation of a given species.     

A P-stable exponentially-fitted method for the numerical integration of the Schrödinger equation

In this paper we present a P-stable exponentially-fitted four-step method for the numerical integration of the radial Schrödinger equation. More specifically we present a method than satisfies the property of P-stability and also integrates exactly any linear combination of the functions {1, x, exp( ± w x), x exp( ± w x), x ²exp( ± w x)}. We tested the efficiency of our newly developed scheme against well known methods, with excellent results. The numerical illustration showed that our method is considerably more efficient compared to well‐known methods used for the numerical integration of resonance problem of the radial Schrödinger equation.     

Decoding ARE-mediated decay: is microRNA part of the equation?

Messenger ribonucleic acids (mRNAs) containing adenine/uridine-rich elements (AREs) in their 3' untranslated region are particularly labile, allowing for the regulation of expression for growth factors, oncoproteins, and cytokines. The regulators, effectors, and location of ARE-mediated decay (AMD) have been investigated by many groups in recent years, and several links have been found between AMD and microRNA-mediated decay. We highlight these similarities, along with recent advances in the field of AMD, and also mention how there is still much left unknown surrounding this specialized mode of mRNA decay.     

A cell–cell repulsion model on a hyperbolic Keller–Segel equation

Journal of Mathematical Biology - In this work, we discuss a cell–cell repulsion model based on a hyperbolic Keller–Segel equation with two populations, which aims at describing the...