Tilting after Dutch windmills: probably no long-lived Davydov solitons in proteins

We present a summary of picosecond pump-probe and photon echo experiments in the mid-IR at 6 μm on the protein myoglobin. The intriguing temperature dependence of the amide I band in Mb is rather similar to the temperature dependence of the amide I band of acetanilide, the molecule that launched Al Scott down the road of looking for Davydov solitons in biology. Alas, after much effort, we believe the data show that there is no long-lived Davydov soliton, at least in myoglobin. This work was supported by the Office of Naval Research and the Stichting voor Fundamenteel Onderzoek der Materie (FOM).     

Davydov Soliton Dynamics in Proteins: III. Applications and Calculation of Vibrational Spectra

The mechanism for energy and signal transport in proteins as suggested by Davydov is discussed. The idea is based on a coupling of amide-I oscillators to acoustic phonons in a hydrogen bonded chain. Results as obtained with the usually used ansätze are discussed. The quality of these states for an approximate solution of the time-dependent Schrödinger equation is investigated. It is found that the semiclassical ansatz is a poor approximation, while the more sophisticated |D₁> state seems to represent the exact dynamics quite well. This was shown by extensive calculations, both analytically and numerically in the two preceding papers. Calculations at a temperature of 300K for one chain, as well as for three coupled ones (as they are present in an -helix) are presented and discussed. From the calculations it is evident, that Davydov solitons are stable for reasonable parameter values at 300K for special initial excitations close to the terminal sites of the chain. Further vibrational spectra are presented and discussed. Our results suggest, that due to their strong dependence on the initial state, the Davydov |D₁> model system might be a (quantum) chaotic one.     

Davydov Soliton Dynamics in Proteins: III. Applications and Calculation of Vibrational Spectra

The mechanism for energy and signal transport in proteins as suggested by Davydov is discussed. The idea is based on a coupling of amide-I oscillators to acoustic phonons in a hydrogen bonded chain. Results as obtained with the usually used ansätze are discussed. The quality of these states for an approximate solution of the time-dependent Schrödinger equation is investigated. It is found that the semiclassical ansatz is a poor approximation, while the more sophisticated |D₁> state seems to represent the exact dynamics quite well. This was shown by extensive calculations, both analytically and numerically in the two preceding papers. Calculations at a temperature of 300K for one chain, as well as for three coupled ones (as they are present in an α-helix) are presented and discussed. From the calculations it is evident, that Davydov solitons are stable for reasonable parameter values at 300K for special initial excitations close to the terminal sites of the chain. Further vibrational spectra are presented and discussed. Our results suggest, that due to their strong dependence on the initial state, the Davydov |D₁> model system might be a (quantum) chaotic one.     

The nature of phonons and solitary waves in alpha-helical proteins.

A parametric study of the Davydov model of energy transduction in alpha-helical proteins is described. Previous investigations have shown that the Davydov model predicts that nonlinear interactions between phonons and amide-I excitations can stabilize the latter and produce a long-lived combined excitation (the so-called Davydov soliton), which propagates along the helix. The dynamics of this solitary wave are approximately those of solitons described using the nonlinear Schr?dinger equation. The present study extends these previous investigations by analyzing the effect of helix length and nonlinear coupling efficiency on the phonon spectrum in short and medium length alpha-helical segments. The phonon energy accompanying amide-I excitation shows periodic variation in time with fluctuations that follow three different time scales. The phonon spectrum is highly dependent upon chain length but a majority of the energy remains localized in normal mode vibrations even in the long chain alpha-helices. Variation of the phonon-exciton coupling coefficient changes the amplitudes but not the frequencies of the phonon spectrum. The computed spectra contain frequencies ranging from 200 GHz to 6 THz, and as the chain length is increased, the long period oscillations increase in amplitude. The most important prediction of this study, however, is that the dynamics predicted by the numerical calculations have more in common with dynamics described by using the Frohlich polaron model than by using the Davydov soliton. Accordingly, the relevance of the Davydov soliton model was applied to energy transduction in alpha-helical proteins is questionable.(ABSTRACT TRUNCATED AT 250 WORDS)     

Supersonic Vibron Solitons and Their Possible Existence in Polypeptides

Nonlinear interactions of vibrons with lattice solitons due to the soft cubic nonlinearity in a quasi-one-dimensional lattice yield supersonic vibron solitons. Their binding energy is larger than those of the conventional Davydov solitons and vibron solitons, and their propagation velocity is uniquely determined in contrast to the latter two. Examination of parameters in the model Hamiltonian for polypeptides leads to the result that the supersonic vibron solitons obtained here are more likely to be realizable than the Davydov solitons and the conventional vibron solitons in alpha-helical proteins.     

The lifetime of molecular (Davydov) solitons

The lifetime of Davydov solitons in a one-dimensional system is studied theoretically. The process of thermalization and the properties of solitons at finite temperature are investigated and the processes of soliton creation and disintegration are discussed.     

Improved approximations to scaling relationships for species, populations, and ecosystems across latitudinal and elevational gradients

Historically, allometric equations relate organismal traits, such as metabolic rate, individual growth rate, and lifespan, to body mass. Similarly, Boltzmann or Q(10) factors are used to relate many organismal traits to body temperature. Allometric equations and Boltzmann factors are being applied increasingly to higher levels of biological organization in an attempt to describe aggregate properties of populations and ecosystems. They have been used previously for studies that analyse scaling relationships between populations and across latitudinal gradients. For these kinds of applications, it is crucial to be aware of the "fallacy of the averages", and it is often problematic or incorrect to simply substitute the average body mass or temperature for an entire population or ecosystem into allometric equations. We derive improved approximations to allometric equations and Boltzmann factors in terms of the central moments of body size and temperature, and we provide tests for the accuracy of these approximations. This framework is necessary for interpreting the predictions of scaling theories for large-scale systems and grants insight into which characteristics of a given distribution are important. These approximations and tests are applied to data for body size for several taxonomic groups, including groups with multiple species, and to data for temperature at locations of varying latitude, corresponding to ectothermic body temperatures. Based on these results, the accuracy and utility of these approximations as applied to biological systems are assessed. We conclude that approximations to allometric equations at the species level are extremely accurate. However, for systems with a large range in body size, evaluating the skewness and kurtosis is often necessary, so it may be advantageous to calculate the exact form for the averaged scaling relationships instead. Moreover, the improved approximation for the Boltzmann factor, which uses the average and standard deviation of temperature, is quite accurate and represents a significant improvement over previous approximations.     

Gaussian approximations for phylogenetic branch length statistics under stochastic models of biodiversity

Stein's method for Gaussian approximations and derived results are used to study the distribution of two phylogenetic branch length statistics: the total height of cherries and the sum of external branch lengths. The Gaussian approximations are obtained under a particular model of phylogenetic tree recently introduced by Popovic. Under an appropriate normalization the model is shown to behave similarly as the coalescent, and the approximations given here are also valid in this context.     

Different cellular fatty acid pattern behaviours of two strains of Listeria monocytogenes Scott A and CNL 895807 under different temperature and salinity conditions

Cells of two strains of Listeria monocytogenes CNL 895807 and Scott A were grown to late exponential phase at different growth temperatures (37, 20 and 4 degrees C) with or without NaCl (7%), and their fatty acid compositions were analysed. The results showed that low thermal adaptation response of L. monocytogenes CNL was different than that of the Scott A strain, and it was based on both an increase of anteiso-branched-chain fatty acids and a significant decrease of straight-chain fatty acids. However, the main modifications observed in the Scott A strain when grown at a low temperature were a decrease of the proportion of ai17:0 and an increase of ai15:0. In hyperosmotic medium and over the entire temperature range (4 degrees C, 20 degrees C and 37 degrees C) the two L. monocytogenes strains showed a cellular fatty acid profile dominated by ai15:0. In addition, a decrease of the two major straight-chain fatty acids (14:0 and 16:0) was observed in the CNL strain. These results demonstrated that the CNL strain showed different behaviours of low thermal and salt adaptation to maintain membrane fluidity, which are based both on an increase of anteiso-branched-chain fatty acids, and a significant decrease of straight-chain fatty acids.     

Fröhlich's condensation in a biological membrane viewed as a Davydov soliton

A model Hamiltonian is postulated for a biological membrane involving phospholipid tails and heads accounting for the presence of dielectrically-active material. It is subsequently demonstrated that under specific conditions, Bose condensation of dipolar oscillations of the head groups may take place in support of Fröhlich's earlier conjecture. A new effect is found here that this condensation phenomenon can be interpreted as the emergence of a Davydov soliton in the momentum space for dipole oscillations.     

Spatially-explicit matrix models

This paper is concerned with mathematical analysis of the critical domain-size problem for structured populations. Space is introduced explicitly into matrix models for stage-structured populations. Movement of individuals is described by means of a dispersal kernel. The mathematical analysis investigates conditions for existence, stability and uniqueness of equilibrium solutions as well as some bifurcation behaviors. These mathematical results are linked to species persistence or extinction in connected habitats of different sizes or fragmented habitats; hence the framework is given for application of such models to ecology. Several approximations which reduce the complexity of integrodifference equations are given. A simple example is worked out to illustrate the analytical results and to compare the behavior of the integrodifference model to that of the approximations.     

Ability of the Listeria monocytogenes strain Scott A to cause systemic infection in mice infected by the intragastric route

Listeriosis is an important food-borne disease that causes high rates of morbidity and mortality. For reasons that are not clear, most large outbreaks of human listeriosis involve Listeria monocytogenes serotype 4b. Relatively little is known about the pathogenesis of listeriosis following gastrointestinal exposure to food-borne disease isolates of L. monocytogenes. In the present study, we investigated the pathogenesis of systemic infection by the food-borne isolate Scott A in an intragastric (i.g.) mouse challenge model. We found that the severity of infection with L. monocytogenes Scott A was increased in mice made neutropenic by administration of monoclonal antibody RB6-8C5. This observation was similar to a previous report on a study with the laboratory strain L. monocytogenes EGD. Prior administration of sodium bicarbonate did not enhance the virulence of L. monocytogenes strain Scott A for i.g. inoculated mice. Following i.g. inoculation of mice, two serotype 4b strains of L. monocytogenes (Scott A and 101M) achieved a greater bacterial burden in the spleen and liver and elicited more severe histopathological damage to those organs than did a serotype 1/2a strain (EGD) and a serotype 1/2b stain (CM). Of the four strains tested, only strain CM exhibited poor survival in synthetic gastric fluid in vitro. The other three strains exhibited similar patterns of survival at pHs of greater than 5 and relatively rapid (<30 min) loss of viability at pHs of less than 5.0. Growth of L. monocytogenes Scott A at temperatures of 12.5 to 37 degrees C did not affect its ability to cause systemic infection in i.g. inoculated mice. These observations suggest that the serotype 4b L. monocytogenes strains Scott A and 101M possess one or more virulence determinants that make them better able to cause systemic infection following inoculation via the g.i. tract than do the serotype 1/2 strains EGD and CM.     

The Coldest Dog and Pony Show on Earth: Animal Welfare on the First Expeditions to Reach the South Pole

ABSTRACT

The expeditions to reach the South Pole mounted by Scott, Amundsen, and others between 1901 and 1912 have attracted considerable scholarly effort. These expeditions all took draught animals, which were key to the success or failure of the missions. Much of the literature in this field is highly partisan, focusing on the relative merits of Scott and Amundsen: the fates of their animals have received little attention except as ammunition for one side or another of this very polarized discourse. This paper describes the treatment of the dogs and ponies taken as draught animals on the expeditions led by Scott and Amundsen. These expeditions were planned such that animals would be used to pull sledges and slaughtered when required for food, or when the food for the animals ran out. Each of these expeditions is shown to have engaged in cruel practices and to have caused some animals extreme suffering. Scott's and Amundsen's management of their animals are compared. Amundsen kept close oversight of the care of the animals whereas Scott tended to delegate, with the results that on occasions Scott's animals did not receive timely attention and suffered as a result. Scott had reservations about using dogs because he viewed them mainly as intelligent companion animals. He had difficulties viewing dogs as working animals that might suffer, or as potential food, but no apparent reservations about using ponies in such ways. Amundsen's attitudes towards the dogs on his expedition and the animals' welfare outcomes are closely examined in this paper in the light of previous contentions that Amundsen was a serial animal abuser. While Amundsen also saw dogs as companions, he viewed them as draught animals and/or food sources as he felt his circumstances warranted. It is shown that outrage at the fates of Amundsen's dogs rests within past hagiographic endeavors in addition to modern western beliefs that dogs are pets, not draught animals; and from Western attitudes towards the consumption of dog flesh.     

Subproteomics analysis of phosphorylated proteins: application to the study of B-lymphoblasts from a patient with Scott syndrome

Proteomics based approaches, which examine the expressed proteins of a tissue or cell type, complement the genome initiatives and are increasingly used to address biomedical questions. Proteins are the main functional output, and post-translational modifications such as phosphorylation are very important in determining protein function. To address this question, we developed a method for specific immunoprecipitation using anti-phosphotyrosine antibodies. This method is directly compatible with two-dimensional gel electrophoresis (2-DE). In this report data are presented on B-lymphoblasts from a patient suffering of Scott syndrome. Scott syndrome is an orphan inherited hemorrhagic disorder due to a lack of exposure of procoagulant phosphatidylserine at the exoplasmic leaflet of plasma membrane of blood cells. We hypothesized that a consequence of the mutation is to alter phosphorylation of proteins involved in signal transduction leading to breakdown in cellular signaling pathways mediating phosphatidylserine exposure. An immunoprecipitation method combined with 2-DE was applied to search for modifications in the expression of phosphorylated polypeptides related to Scott syndrome phenotype. We report here the construction of a B-lymphoblast subproteomic map comprising of polypeptides observed after immunoprecipitation using antibodies to phosphotyrosine. The polypeptides were identified either by mass fingerprinting, by liquid chromatography-tandem mass spectrometry (LC-MS/MS) and/or by matching with various lymphoid cell 2-DE maps included in the Laboratoire de Biochimie des Protéines et Protéomique 2-DE database. A differential analysis was further performed to explore several hundred proteins in Scott B-lymphoblasts in comparison with control B-lymphoblasts. Then, image analysis allowed detection of variations between control and Scott syndrome phenotype lymphoblasts. Five spots were specifically found on 2-DE from Scott syndrome phenotype lymphoblasts, and four only appeared on 2-DE from control cells. Protein identification was achieved using a combination of mass fingerprinting and peptide identification using LC-MS/MS.     

Line-of-descent and genealogical processes,and their applications in population genetics models

A variety of results for genealogical and line-of-descent processes that arise in connection with the theory of some classical selectively neutral population genetics models are reviewed. While some new results and derivations are included, the principle aim is to demonstrate the central importance and simplicity of genealogical Markov chains in this theory. Considerable attention is given to “diffusion time scale” approximations of such genealogical processes. A wide variety of results pertinent to (diffusion approximations of) the classical multiallele single-locus Wright-Fisher model and its relatives are simplified and unified by this approach. Other examples where such genealogical processes play an explicit role, such as the infinite sites and infinite alleles models, are discussed.     

Cattaneo-Christov Heat Flux Model for MHD Three-Dimensional Flow of Maxwell Fluid over a Stretching Sheet

This letter investigates the MHD three-dimensional flow of upper-convected Maxwell (UCM) fluid over a bi-directional stretching surface by considering the Cattaneo-Christov heat flux model. This model has tendency to capture the characteristics of thermal relaxation time. The governing partial differential equations even after employing the boundary layer approximations are non linear. Accurate analytic solutions for velocity and temperature distributions are computed through well-known homotopy analysis method (HAM). It is noticed that velocity decreases and temperature rises when stronger magnetic field strength is accounted. Penetration depth of temperature is a decreasing function of thermal relaxation time. The analysis for classical Fourier heat conduction law can be obtained as a special case of the present work. To our knowledge, the Cattaneo-Christov heat flux model law for three-dimensional viscoelastic flow problem is just introduced here.     

Statistical inference from single channel records: two-state Markov model with limited time resolution

Though stochastic models are widely used to describe single ion channel behaviour, statistical inference based on them has received little consideration. This paper describes techniques of statistical inference, in particular likelihood methods, suitable for Markov models incorporating limited time resolution by means of a discrete detection limit. To simplify the analysis, attention is restricted to two-state models, although the methods have more general applicability. Non-uniqueness of the mean open-time and mean closed-time estimators obtained by moment methods based on single exponential approximations to the apparent open-time and apparent closed-time distributions has been reported. The present study clarifies and extends this previous work by proving that, for such approximations, the likelihood equations as well as the moment equations (usually) have multiple solutions. Such non-uniqueness corresponds to non-identifiability of the statistical model for the apparent quantities. By contrast, higher-order approximations yield theoretically identifiable models. Likelihood-based estimation procedures are developed for both single exponential and bi-exponential approximations. The methods and results are illustrated by numerical examples based on literature and simulated data, with consideration given to empirical distributions and model control, likelihood plots, and point estimation and confidence regions.     

Autophagy and p70S6 Kinase

A paper by Scott et al.,1 suggested that p70S6 kinase (p70S6k) is a positive regulatory factor for autophagy. This finding is in contrast to previous data suggesting a negative role for this factor. The Scott et al. article was highlighted in Nature News & Views,2 which elicited a commentary by A.J. Meijer and P. Codogno. These authors present an alternate model for the role of p70S6k in autophagic induction, although still as a positive factor. Following the initial commentary is a response by T.P. Neufeld and R.C. Scott.     

Significance of temperature and preincubation temperature on survival of Listeriamonocytogenes at pH 4·8

Listeria monocytogenes is a food-borne pathogenic bacterium that can be found in softcheese. At the beginning of cheese ripening, the pH is about 4·85–4·90. The aimof this work was to study the influence of temperature, preincubation temperature (temperature atwhich the inoculum was cultivated) and initial bacterial concentration on the survival of L.monocytogenes (strain Scott A) at pH 4·8. It was demonstrated in an earlier study thatthese factors did influence growth kinetics. Survival studies of L. monocytogenes weredone in a laboratory broth simulating cheese composition. Four test temperatures (2, 6, 10 and14°C) and two preincubation temperatures were studied (30°C or the test temperature). Listeria monocytogenes (strain Scott A) was unable to grow at pH 4·8 under allconditions tested. The time for 10% survival was about 11 and 2 d, at 2°C with preincubationat 2°C and 30°C, respectively; 9 d at 6°C with preincubation at 6°C; 4 d at 6°Cwith preincubation at 30°C; and 1 d at 14°C with preincubation at 14°C or at 30°C.The results show that survival of L. monocytogenes (strain Scott A) at pH 4·8 is notdependent on initial bacterial concentration but on both the test and preincubation temperatures.     

On the mechanical characterization of compact bone structure using the homogenization theory

In a previous paper (Crolet et al., 1993, J. Biomechanics 26, 677–687), a modelling of the mechanical behavior of compact bone was presented, in which the homogenization theory was the basic tool of computation. In this simulation, approximations were used for the modelling of the lamellae and the osteons: the lamella and the osteon were divided into cylindrical sectors, each sector being approximated as a parallelepiped having a periodic structure (fibrous composite for the lamella, superimposition of plates for the osteon). The present study deals with a new model without these approximations. First, it can be proved that the homogenized elasticity tensor for a lamella, which has a non-periodic structure, is obtained at each geometrical point as a homogenized tensor of a periodic problem. Similarly, for the osteonal structure, the components of the homogenized tensor are determined at each point as the result of a periodic homogenization.

The software OSTEON, which is the computational method associated with this model, allows one to obtain a better understanding of the effects of many bony parameters. The obtained results are in accordance with experimental data.