A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator

In [1,2] we have developed a method (we call it the S-function method) that is successful in treating certain classes of rational second order ordinary differential equations (rational 2ODEs) that are particularly `resistant' to canonical Lie methods and to Darbouxian approaches. In this present paper, we generalize the S-function method making it capable of dealing with a class of elementary 2ODEs presenting elementary functions. Then, we apply this method to a Duffing-Van der Pol forced oscillator, obtaining an entire class of first integrals

Development of Bursaphelenchus xylophilus-specific microsatellite markers to assess the genetic diversity of populations from European forests.

The pinewood nematode (PWN), Bursaphelenchus xylophilus (Steiner & Buhrer, 1934), Nickle (Nematoda: Aphelenchoididae) is the causal agent of the pine wilt disease and is currently considered as one of the most important pests and pathogens in the world. Its introduction and spread in new forest ecosystems have considerable consequences both economically and environmentally. Therefore, it is of crucial importance to identify its invasion routes, to determine the origin of new outbreaks and to understand the invasion process of this species to prevent further dissemination of the disease in Europe. In order to address these questions using population genetic approaches, we have been developing a set of PWN-specific microsatellite markers, usable in routine conditions at the individual level, thanks to multiplex PCR coupled with a fast DNA extraction method. Microsatellites were isolated from a genomic library using a procedure combining DNA enrichment and high throughput pyrosequencing as recently described by Malausa et al. (2011). Primers were designed for 71 and 23 perfect and compound microsatellites, respectively, 26 of which were experimentally validated so far. Among them, 18 markers exhibited polymorphism after several rounds of amplification tests. Preliminary results on a set of 190 nematodes from 13 populations indicate a very low level of polymorphism in PWN populations from Portugal and Madeira Island, compared to populations from the native area in North America. The genotyping of a wide collection of samples from Europe, Asia and North America is currently underway in the laboratory. Assessing the genetic diversity of populations indeed constitutes the cornerstone to determine whether the European invasive PWN populations are the result of a single or several independent events of introduction

On the Stability of Fundamental Couplings in the Galaxy

Astrophysical tests of the stability of Nature's fundamental couplings are a key probe of the standard paradigms in fundamental physics and cosmology. In this report we discuss updated constraints on the stability of the fine-structure constant $\alpha$ and the proton-to-electron mass ratio $\mu=m_p/m_e$ within the Galaxy. We revisit and improve upon the analysis by Truppe {\it et al.} by allowing for the possibility of simultaneous variations of both couplings and also by combining them with the recent measurements by Levshakov {\it et al.} By considering representative unification scenarios we find no evidence for variations of $\alpha$ at the 0.4 ppm level, and of $\mu$ at the 0.6 ppm level; if one uses the Levshakov bound on $\mu$ as a prior, the$\alpha$ bound is improved to 0.1 ppm. We also highlight how these measurements can constrain (and discriminate among) several fundamental physics paradigms.Comment: 7 pages, 1 figur

Solving 1ODEs with functions

Here we present a new approach to deal with first order ordinary differential equations (1ODEs), presenting functions. This method is an alternative to the one we have presented in [1]. In [2], we have establish the theoretical background to deal, in the extended Prelle-Singer approach context, with systems of 1ODEs. In this present paper, we will apply these results in order to produce a method that is more efficient in a great number of cases. Directly, the solving of 1ODEs is applicable to any problem presenting parameters to which the rate of change is related to the parameter itself. Apart from that, the solving of 1ODEs can be a part of larger mathematical processes vital to dealing with many problems.Comment: 31 page

Regenerative therapies for tympanic membrane

It is estimated that by 2050 one in every ten people will be suffering from disabling hearing loss. Perforated tympanic membranes (TMs) are the most common injury to the human ear, resulting in a partial or complete hearing loss due to inept sound conduction. Commonly known as the eardrum, the TM is a thin, concave tissue of the middle ear that captures sound pressure waves from the environment and transmits them as mechanical vibrations to the inner ear. Microsurgical placement of autologous tissue graft has been the “gold standard” for treating damaged TMs; however, the incongruent structural and mechanical properties of these autografts often impair an optimal hearing restoration following recovery. Moreover, given the lack of available tissues for transplantations, regenerative medicine has emerged as a promising alternative. Several tissue engineered approaches applying bio-instructive scaffolds and stimuli have been reported for the TM regeneration, which can be broadly classified into TM repair and TM reconstruction. This review evaluates the current advantages and challenges of both strategies with a special focus on the use of recent biofabrication technologies for advancing TM tissue engineering

On virialization with dark energy

We review the inclusion of dark energy into the formalism of spherical collapse, and the virialization of a two-component system, made of matter and dark energy. We compare two approaches in previous studies. The first assumes that only the matter component virializes, e.g. as in the case of a classic cosmological constant. The second approach allows the full system to virialize as a whole. We show that the two approaches give fundamentally different results for the final state of the system. This might be a signature discriminating between the classic cosmological constant which cannot virialize and a dynamical dark energy mimicking a cosmological constant. This signature is independent of the measured value of the equation of state. An additional issue which we address is energy non-conservation of the system, which originates from the homogeneity assumption for the dark energy. We propose a way to take this energy loss into account.Comment: 15 pages, 5 figures. Accepted for publication in JCA