Surface tension and dynamics of fingering patterns

We study the minimal class of exact solutions of the Saffman-Taylor problem with zero surface tension, which contains the physical fixed points of the regularized (nonzero surface tension) problem. New fixed points are found and the basin of attraction of the Saffman-Taylor finger is determined within that class. Specific features of the physics of finger competition are identified and quantitatively defined, which are absent in the zero surface tension case. This has dramatic consequences for the long-time asymptotics, revealing a fundamental role of surface tension in the dynamics of the problem. A multifinger extension of microscopic solvability theory is proposed to elucidate the interplay between finger widths, screening and surface tension.

Dynamical properties of nonmarkovian stochastic differential equations

We study nonstationary non-Markovian processes defined by Langevin-type stochastic differential equations with an OrnsteinUhlenbeck driving force. We concentrate on the long time limit of the dynamical evolution. We derive an approximate equation for the correlation function of a nonlinear nonstationary non-Markovian process, and we discuss its consequences. Non-Markovicity can introduce a dependence on noise parameters in the dynamics of the correlation function in cases in which it becomes independent of these parameters in the Markovian limit. Several examples are discussed in which the relaxation time increases with respect to the Markovian limit. For a Brownian harmonic oscillator with fluctuating frequency, the non-Markovicity of the process decreases the domain of stability of the system, and it can change an infradamped evolution into an overdamped one.

Theory for correlation functions of processes driven by external colored noise

We study steady-state correlation functions of nonlinear stochastic processes driven by external colored noise. We present a methodology that provides explicit expressions of correlation functions approximating simultaneously short- and long-time regimes. The non-Markov nature is reduced to an effective Markovian formulation, and the nonlinearities are treated systematically by means of double expansions in high and low frequencies. We also derive some exact expressions for the coefficients of these expansions for arbitrary noise by means of a generalization of projection-operator techniques.

Intensity correlation functions of dye lasers: Comparison of colored-gain-noise and colored-loss-noise models

The intensity correlation functions C(t) for the colored-gain-noise model of dye lasers are analyzed and compared with those for the loss-noise model. For correlation times ¿ larger than the deterministic relaxation time td, we show with the use of the adiabatic approximation that C(t) values coincide for both models. For small correlation times we use a method that provides explicit expressions of non-Markovian correlation functions, approximating simultaneously short- and long-time behaviors. Comparison with numerical simulations shows excellent results simultaneously for short- and long-time regimes. It is found that, when the correlation time of the noise increases, differences between the gain- and loss-noise models tend to disappear. The decay of C(t) for both models can be described by a time scale that approaches the deterministic relaxation time. However, in contrast with the loss-noise model, a secondary time scale remains for large times for the gain-noise model, which could allow one to distinguish between both models.

The role of fungi in the precipitation of calcite : relationships between fungal filaments, nanofibres, and needle fibre calcite

RésuméLes champignons sont impliqués dans les cycles biogéochimiques de différentes manières. En particulier, ils sont reconnus en tant qu'acteurs clés dans la dégradation de la matière organique, comme fournisseurs d'éléments nutritifs via l'altération des minéraux mais aussi comme grands producteurs d'acide oxalique et de complexes oxalo-métalliques. Toutefois, peu de choses sont connues quant à leur contribution à la genèse d'autres types de minéraux, tel que le carbonate de calcium (CaCO3). Le CaCO3 est un minéral ubiquiste dans de nombreux écosystèmes et il joue un rôle essentiel dans les cycles biogéochimiques du carbone (C) et du calcium (Ca). Le CaCO3 peut être d'origine physico-chimique ou biogénique et de nombreux organismes sont connus pour contrôler ou induire sa biominéralisation. Les champignons ont souvent été soupçonnés d'être impliqué dans ce processus, cependant il existe très peu d'informations pour étayer cette hypothèse.Cette thèse a eu pour but l'étude de cet aspect négligé de l'impact des champignons dans les cycles biogéochimiques, par l'exploration de leur implication potentielle dans la formation d'un type particulier de CaCO3 secondaires observés dans les sols et dans les grottes des environnements calcaires. Dans les grottes, ces dépôts sont appelés moonmilk, alors que dans les sols on les appelle calcite en aiguilles. Cependant ces deux descriptions correspondent en fait au même assemblage microscopique de deux habitus particulier de la calcite: la calcite en aiguilles (au sens strict du terme cette fois-ci) et les nanofibres. Ces deux éléments sont des habitus aciculaires de la calcite, mais présentent des dimensions différentes. Leur origine, physico-chimique ou biologique, est l'objet de débats intenses depuis plusieurs années déjà.L'observation d'échantillons environnementaux avec des techniques de microscopie (microscopie électronique et micromorphologie), ainsi que de la microanalyse EDX, ont démontré plusieurs relations intéressantes entre la calcite en aiguilles, les nanofibres et des éléments organiques. Premièrement, il est montré que les nanofibres peuvent être organiques ou minérales. Deuxièmement, la calcite en aiguilles et les nanofibres présentent de fortes analogies avec des structures hyphales, ce qui permet de confirmer l'hypothèse de leur origine fongique. En outre, des expériences en laboratoire ont confirmé l'origine fongique des nanofibres, par des digestions enzymatiques d'hyphes fongiques. En effet, des structures à base de nanofibres, similaires à celles observées dans des échantillons naturels, ont pu être produites par cette approche. Finalement, des enrichissements en calcium ont été mesurés dans les parois des hyphes et dans des inclusions intrahyphales provenant d'échantillons naturels de rhizomorphes. Ces résultats suggèrent une implication de la séquestration de calcium dans la formation de la calcite en aiguilles et/ou des nanofibres.Plusieurs aspects restent à élucider, en particulier la compréhension des processus physiologiques impliqués dans la nucléation de calcite dans les hyphes fongiques. Cependant, les résultats obtenus dans cette thèse ont permis de confirmer l'implication des champignons dans la formation de la calcite en aiguilles et des nanofibres. Ces découvertes sont d'une grande importance dans les cycles biogéochimiques puisqu'ils apportent de nouveaux éléments dans le cycle couplé C-Ca. Classiquement, les champignons sont considérés comme étant impliqués principalement dans la minéralisation de la matière organique et dans l'altération minérale. Cette étude démontre que les champignons doivent aussi être pris en compte en tant qu'agents majeurs de la genèse de minéraux, en particulier de CaCO3. Ceci représente une toute nouvelle perspective en géomycologie quant à la participation des champignons au cycle biologique du C. En effet, la présence de ces précipitations de CaCO3 secondaires représente un court-circuit dans le cycle biologique du C puisque du C inorganique du sol se retrouve piégé dans de la calcite plutôt que d'être retourné dans l'atmosphère.AbstractFungi are known to be involved in biogeochemical cycles in numerous ways. In particular, they are recognized as key players in organic matter recycling, as nutrient suppliers via mineral weathering, as well as large producers of oxalic acid and metal-oxalate. However, little is known about their contribution to the genesis of other types of minerals such as calcium carbonate (CaCO3). Yet, CaC03 are ubiquitous minerals in many ecosystems and play an essential role in the biogeochemical cycles of both carbon (C) and calcium (Ca). CaC03 may be physicochemical or biogenic in origin and numerous organisms have been recognized to control or induce calcite biomineralization. While fungi have often been suspected to be involved in this process, only scarce information support this hypothesis.This Ph.D. thesis aims at investigating this disregarded aspect of fungal impact on biogeochemical cycles by exploring their possible implication in the formation of a particular type of secondary CaC03 deposit ubiquitously observed in soils and caves from calcareous environments. In caves, these deposits are known as moonmilk, whereas in soils, they are known as Needle Fibre Calcite (NFC - sensu lato). However, they both correspond to the same microscopic assemblage of two distinct and unusual habits of calcite: NFC {sensu stricto) and nanofibres. Both features are acicular habits of calcite displaying different dimensions. Whether these habits are physicochemical or biogenic in origin has been under discussion for a long time.Observations of natural samples using microscopic techniques (electron microscopy and micromorphology) and EDX microanalyses have demonstrated several interesting relationships between NFC, nanofibres, and organic features. First, it has shown that nanofibres can be either organic or minera! in nature. Second, both nanofibres and NFC display strong structural analogies with fungal hyphal features, supporting their fungal origin. Furthermore, laboratory experiments have confirmed the fungal origin of nanofibres through an enzymatic digestion of fungal hyphae. Indeed, structures made of nanofibres with similar features as those observed in natural samples have been produced. Finally, calcium enrichments have been measured in both cell walls and intrahyphal inclusions of hyphae from rhizomorphs sampled in the natural environment. These results point out an involvement of calcium sequestration in nanofibres and/or NFC genesis.Several aspects need further investigation, in particular the understanding of the physiological processes involved in hyphal calcite nucleation. However, the results obtained during this study have allowed the confirmation of the implication of fungi in the formation of both NFC and nanofibres. These findings are of great importance regarding global biogeochemical cycles as they bring new insights into the coupled C and Ca cycles. Conventionally, fungi are considered to be involved in organic matter mineralization and mineral weathering. In this study, we demonstrate that they must also be considered as major agents in mineral genesis, in particular CaC03. This is a completely new perspective in geomycology regarding the role of fungi in the short-term (or biological) C cycle. Indeed, the presence of these secondary CaC03 precipitations represents a bypass in the short- term carbon cycle, as soil inorganic C is not readily returned to the atmosphere.

Self-organized criticality induced by diversity

We have studied the collective behavior of a population of integrate-and-fire oscillators. We show that diversity, introduced in terms of a random distribution of natural periods, is the mechanism that permits one to observe self-organized criticality (SOC) in the long time regime. As diversity increases the system undergoes several transitions from a supercritical regime to a subcritical one, crossing the SOC region. Although there are resemblances with percolation, we give proofs that criticality takes place for a wide range of values of the control parameter instead of a single value.

Damage spreading transition in glasses: A probe for the ruggedness of the configurational landscape

We consider damage spreading transitions in the framework of mode-coupling theory. This theory describes relaxation processes in glasses in the mean-field approximation which are known to be characterized by the presence of an exponentially large number of metastable states. For systems evolving under identical but arbitrarily correlated noises, we demonstrate that there exists a critical temperature T0 which separates two different dynamical regimes depending on whether damage spreads or not in the asymptotic long-time limit. This transition exists for generic noise correlations such that the zero damage solution is stable at high temperatures, being minimal for maximal noise correlations. Although this dynamical transition depends on the type of noise correlations, we show that the asymptotic damage has the good properties of a dynamical order parameter, such as (i) independence of the initial damage; (ii) independence of the class of initial condition; and (iii) stability of the transition in the presence of asymmetric interactions which violate detailed balance. For maximally correlated noises we suggest that damage spreading occurs due to the presence of a divergent number of saddle points (as well as metastable states) in the thermodynamic limit consequence of the ruggedness of the free-energy landscape which characterizes the glassy state. These results are then compared to extensive numerical simulations of a mean-field glass model (the Bernasconi model) with Monte Carlo heat-bath dynamics. The freedom of choosing arbitrary noise correlations for Langevin dynamics makes damage spreading an interesting tool to probe the ruggedness of the configurational landscape.

Generalized Langevin equations: Anomalous diffusion and probability distributions

We study the motion of a particle governed by a generalized Langevin equation. We show that, when no fluctuation-dissipation relation holds, the long-time behavior of the particle may be from stationary to superdiffusive, along with subdiffusive and diffusive. When the random force is Gaussian, we derive the exact equations for the joint and marginal probability density functions for the position and velocity of the particle and find their solutions.

Filter Paper Method for the Determination of the Soil Water Retention Curve

ABSTRACT High cost and long time required to determine a retention curve by the conventional methods of the Richards Chamber and Haines Funnel limit its use; therefore, alternative methods to facilitate this routine are needed. The filter paper method to determine the soil water retention curve was evaluated and compared to the conventional method. Undisturbed samples were collected from five different soils. Using a Haines Funnel and Richards Chamber, moisture content was obtained for tensions of 2; 4; 6; 8; 10; 33; 100; 300; 700; and 1,500 kPa. In the filter paper test, the soil matric potential was obtained from the filter-paper calibration equation, and the moisture subsequently determined based on the gravimetric difference. The van Genuchten model was fitted to the observed data of soil matric potential versus moisture. Moisture values of the conventional and the filter paper methods, estimated by the van Genuchten model, were compared. The filter paper method, with R2 of 0.99, can be used to determine water retention curves of agricultural soils as an alternative to the conventional method.

Changes in chromosomal polymorphism and global warming: The case of Drosophila subobscura from Apatin (Serbia)

Abstract In this study, chromosomal inversion polymorphism data for a natural population of Drosophila subobscura from a swampy region near the town of Apatin (Serbia) were compared with data for the same population collected approximately 15 years earlier. The pattern of chromosomal inversion polymorphism changed over time. There were significant increases in the frequency of characteristic southern latitude ("warm" adapted) chromosomal arrangements and significant decreases in the frequency of characteristic northern latitude ("cold" adapted) chromosomal arrangements in the O and U chromosomes. The chromosomal arrangements O3+4 and O3+4+22 (derived from the O3+4 arrangement)showed significant increases in 2008 and 2009 with regard to the 1994 sample. There was also a significant increase (~50%) in the U1+2 arrangement, while U1+8+2 (a typical southern arrangement) was detected for the first time. Since the Apatin swampy population ofD. subobscura has existed for a long time in a stable habitat with high humidity that has not been changed by man our results indicate that natural selection has produced chromosomal changes in response to the increase in temperature that has occurred in the Balkan Peninsula of central southeastern European. Key words: chromosomal inversions, Drosophila subobscura, global warming, karyotypes.

An ultrastructural approach to analogies between fungal structures and needle fibre calcite

Needle fiber calcite (NFC) is an ubiquitous terrestrial secondary calcium carbonate mineral often associated with calcitic nanofibers. NFC's origin has been debated for a long time and a fungal origin is often proposed. Fungi are known to be involved in mineral weathering and production of metal oxalate, but little information exists regarding the genesis of other minerals, such as calcite. In this study, a comparison of similar ultrastructural characteristics of fungal hyphae and NFC has been performed to highlight analogies between both features. These analogies clearly demonstrate the probable close relationship between fungal filaments (hyphae and rhizomorphs) and NFC and its associated nanofibers.

Heated Optical Fiber for Distributed Soil-Moisture Measurements: A Lysimeter Experiment

An Actively Heated Fiber Optics (AHFO) method to estimate soil moisture is tested and the analysis technique improved on. The measurements were performed in a lysimeter uniformly packed with loam soil with variable water content profiles. In the first meter of the soil profi le, 30 m of fiber optic cable were installed in a 12 loops coil. The metal sheath armoring the fiber cable was used as an electrical resistance heater to generate a heat pulse, and the soil response was monitored with a Distributed Temperature Sensing (DTS) system. We study the cooling following three continuous heat pulses of 120 s at 36 W m(-1) by means of long-time approximation of radial heat conduction. The soil volumetric water contents were then inferred from the estimated thermal conductivities through a specifically calibrated model relating thermal conductivity and volumetric water content. To use the pre-asymptotic data we employed a time correction that allowed the volumetric water content to be estimated with a precision of 0.01-0.035 (m(3) m(-3)). A comparison of the AHFO measurements with soil-moisture measurements obtained with calibrated capacitance-based probes gave good agreement for wetter soils [discrepancy between the two methods was less than 0.04 (m(3) m(-3))]. In the shallow drier soils, the AHFO method underestimated the volumetric water content due to the longertime required for the temperature increment to become asymptotic in less thermally conductive media [discrepancy between the two methods was larger than 0.1 (m(3) m(-3))]. The present work suggests that future applications of the AHFO method should include longer heat pulses, that longer heating and cooling events are analyzed, and, temperature increments ideally be measured with higher frequency.

The structure of nervous tissue and of Gram-positive bacteria studied by cryo-electron microscopy of vitreous sections

Résumé La structure, ou l'architecture, des êtres vivants définit le cadre dans lequel la physique de la vie s'accomplit. La connaissance de cette structure dans ses moindres détails est un but essentiel de la biologie. Son étude est toutefois entravée par des limitations techniques. Malgré son potentiel théorique, la microscopie électronique n'atteint pas une résolution atomique lorsqu'elle est appliquée ä la matièxe biologique. Cela est dû en grande partie au fait qu'elle contient beaucoup d'eau qui ne résiste pas au vide du microscope. Elle doit donc être déshydratée avant d'être introduite dans un microscope conventionnel. Des artéfacts d'agrégation en découlent inévitablement. La cryo-microscopie électronique des sections vitreuses (CEMOVIS) a ëté développée afin de résoudre cela. Les spécimens sont vitrifiés, c.-à-d. que leur eau est immobilisée sans cristalliser par le froid. Ils sont ensuite coupés en sections ultrafines et celles-ci sont observées à basse température. Les spécimens sont donc observés sous forme hydratée et non fixée; ils sont proches de leur état natif. Durant longtemps, CEMOVIS était très difficile à exécuter mais ce n'est plus le cas. Durant cette thèse, CEMOVIS a été appliqué à différents spécimens. La synapse du système nerveux central a été étudiée. La présence dans la fente synaptique d'une forte densité de molécules organisées de manière périodique a été démontrée. Des particules luminales ont été trouvées dans Ies microtubules cérébraux. Les microtubules ont servi d'objets-test et ont permis de démontrer que des détails moléculaires de l'ordre du nm sont préservés. La compréhension de la structure de l'enveloppe cellulaire des bactéries Grampositives aété améliorée. Nos observations ont abouti à l'élaboration d'un nouveau modèle hypothétique de la synthèse de la paroi. Nous avons aussi focalisé notre attention sur le nucléoïde bactérien et cela a suscité un modèle de la fonction des différents états structuraux du nucléoïde. En conclusion, cette thèse a démontré que CEMOVIS est une excellente méthode poux étudier la structure d'échantillons biologiques à haute résolution. L'étude de la structure de divers aspects des êtres vivants a évoqué des hypothèses quant à la compréhension de leur fonctionnement. Summary The structure, or the architecture, of living beings defines the framework in which the physics of life takes place. Understanding it in its finest details is an essential goal of biology. Its study is however hampered by technical limitations. Despite its theoretical potential, electron microscopy cannot resolve individual atoms in biological matter. This is in great part due to the fact. that it contains a lot of water that cannot stand the vacuum of the microscope. It must therefore be dehydrated before being introduced in a conventional mìcroscope. Aggregation artefacts unavoidably happen. Cryo-electron microscopy of vitreous sections (CEMOVIS) has been developed to solve this problem. Specimens are vitrified, i.e. they are rapidly cooled and their water is immobilised without crystallising by the cold. They are then. sectioned in ultrathin slices, which are observed at low temperatures. Specimens are therefore observed in hydrated and unfixed form; they are close to their native state. For a long time, CEMOVIS was extremely tedious but this is not the case anymore. During this thesis, CEMOVIS was applied to different specimens. Synapse of central nervous system was studied. A high density of periodically-organised molecules was shown in the synaptic cleft. Luminal particles were found in brain microtubules. Microtubules, used as test specimen, permitted to demonstrate that molecular details of the order of nm .are preserved. The understanding of the structure of cell envelope of Gram-positive bacteria was improved. Our observations led to the elaboration of a new hypothetic model of cell wall synthesis. We also focused our attention on bacterial nucleoids and this also gave rise to a functional model of nucleoid structural states. In conclusion, this thesis demonstrated that CEMOVIS is an excellent method for studying the structure of bìologìcal specimens at high resolution. The study of the structure of various aspects of living beings evoked hypothesis for their functioning.

Mitotic figure counts are overrated in resection specimen of invasive breast carcinoma

In order for some patients to benefit from aggressive chemotherapy for invasive breast carcinoma, many patients are currently being treated without little or no benefit. Enormous effort is hence being directed towards the identification of those patients who will need chemotherapy and those who will not. Since chemotherapy targets proliferating cells pathologists focus on the proliferative activity of tumors, as assessed by mitotic figure counts or by cell cycle specific immunohistochemical markers, such as Ki-67 and H3 histone. As far as the tumor grade is concerned, many of these studies have reported a tendency to up-grade carcinomas in resection specimen when compared to the initial diagnosis on the biopsy material, and most studies have noted that the upgrade in resection specimen is due solely or to a large extent to an increase in the mitotic figure count. In the present study, we propose a different explanation for the divergence in mitotic figure counts between biopsy and resection material. We assessed the proliferative activity of 52 invasive ductal carcinomas and confirm that the number of mitotic figures significantly increased by a factor of more than 3 in resection specimen over the biopsy material, while at the same time the pan-cell cycle specific marker MIB-1 yieldes comparable results. we propose that the delayed formalin fixation of resection specimen allows cell cycle activities to continue for a long time, up to many hours, and that this leads to an arrest of mitoses in metaphase where they are readily identified by the pathologist. We propose that the mitotic figure count in the rapidly fixed biopsy cores better represent the tumor biology and should be used as a basis for chemotherapy therapeutic decisions.

Merkel cells and the individuality of friction ridge skin

There is no definite theory yet for the mechanism by which the pattern of epidermal ridges on fingers, palms and soles forming friction ridge skin (FRS) patterns is created. For a long time growth forces in the embryonal epidermis have been believed to be involved in FRS formation. More recent evidence suggests that Merkel cells play an important part in this process as well. Here we suggest a model for the formation of FRS patterns that links Merkel cells to the epidermal stress distribution. The Merkel cells are modeled as agents in an agent based model that move anisotropically where the anisotropy is created by the epidermal stress tensor. As a result ridge patterns are created with pattern defects as they occur in real FRS patterns. As a consequence we suggest why the topology of FRS patterns is indeed unique as the arrangement of pattern defects is sensitive to the initial configuration of Merkel cells.