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Stokes flow analogous to viscous electron current in graphene
Full text linkElectron transport in two-dimensional conducting materials such as graphene, with dominant electron–electron interaction, exhibits unusual vortex flow that leads to a nonlocal current-field relation (negative resistance), distinct from the classical Ohm’s law. The transport behavior of these materials is best described by low Reynolds number hydrodynamics, where the constitutive pressure–speed relation is Stoke’s law. Here we report evidence of such vortices observed in a viscous flow of Newtonian fluid in a microfluidic device consisting of a rectangular cavity—analogous to the electronic system. We extend our experimental observations to elliptic cavities of different eccentricities, and validate them by numerically solving bi-harmonic equation obtained for the viscous flow with no-slip boundary conditions. We verify the existence of a predicted threshold at which vortices appear. Strikingly, we find that a two-dimensional theoretical model captures the essential features of three-dimensional Stokes flow in experiments
Hybrid Mining: Exploiting Blockchain’s Computational Power for Distributed Problem Solving
Full text linkIn today's cryptocurrencies, Hashcash proof of work is the most commonly-adopted approach to mining. In Hashcash, when a miner decides to add a block to the chain, she has to solve the difficult computational puzzle of inverting a hash function. While Hashcash has been successfully adopted in both Bitcoin and Ethereum, it has attracted significant and harsh criticism due to its massive waste of electricity, its carbon footprint and environmental effects, and the inherent lack of usefulness in inverting a hash function. Various other mining protocols have been suggested, including proof of stake, in which a miner's chance of adding the next block is proportional to her current balance. However, such protocols lead to a higher entry cost for new miners who might not still have any stake in the cryptocurrency, and can in the worst case lead to an oligopoly, where the rich have complete control over mining.
In this paper, we propose Hybrid Mining: a new mining protocol that combines solving real-world useful problems with Hashcash. Our protocol allows new miners to join the network by taking part in Hashcash mining without having to own an initial stake. It also allows nodes of the network to submit hard computational problems whose solutions are of interest in the real world, e.g.~protein folding problems. Then, miners can choose to compete in solving these problems, in lieu of Hashcash, for adding a new block. Hence, Hybrid Mining incentivizes miners to solve useful problems, such as hard computational problems arising in biology, in a distributed manner. It also gives researchers in other areas an easy-to-use tool to outsource their hard computations to the blockchain network, which has enormous computational power, by paying a reward to the miner who solves the problem for them. Moreover, our protocol provides strong security guarantees and is at least as resilient to double spending as Bitcoin
From Dyson to Pearcey: Universal Statistics in Random Matrix Theory
Full text linkIn the first part of this thesis we consider large random matrices with arbitrary expectation and a general slowly decaying correlation among its entries. We prove universality of the local eigenvalue statistics and optimal local laws for the resolvent in the bulk and edge regime. The main novel tool is a systematic diagrammatic control of a multivariate cumulant expansion.
In the second part we consider Wigner-type matrices and show that at any cusp singularity of the limiting eigenvalue distribution the local eigenvalue statistics are universal and form a Pearcey process. Since the density of states typically exhibits only square root or cubic root cusp singularities, our work complements previous results on the bulk and edge universality and it thus completes the resolution of the Wigner-Dyson-Mehta universality conjecture for the last remaining universality type. Our analysis holds not only for exact cusps, but approximate cusps as well, where an extended Pearcey process emerges. As a main technical ingredient we prove an optimal local law at the cusp, and extend the fast relaxation to equilibrium of the Dyson Brownian motion to the cusp regime.
In the third and final part we explore the entrywise linear statistics of Wigner matrices and identify the fluctuations for a large class of test functions with little regularity. This enables us to study the rectangular Young diagram obtained from the interlacing eigenvalues of the random matrix and its minor, and we find that, despite having the same limit, the fluctuations differ from those of the algebraic Young tableaux equipped with the Plancharel measure
Role of Genomic Imprinting in Cerebral Cortex Development
No full textGenomic imprinting is an epigenetic process that leads to parent of origin-specific gene expression in a subset of genes. Imprinted genes are essential for brain development, and deregulation of imprinting is associated with neurodevelopmental diseases and the pathogenesis of psychiatric disorders. However, the cell-type specificity of imprinting at single cell resolution, and how imprinting and thus gene dosage regulates neuronal circuit assembly is still largely unknown. Here, MADM (Mosaic Analysis with Double Markers) technology was employed to assess genomic imprinting at single cell level. By visualizing MADM-induced uniparental disomies (UPDs) in distinct colors at single cell level in genetic mosaic animals, this experimental paradigm provides a unique quantitative platform to systematically assay the UPD-mediated imbalances in imprinted gene expression at unprecedented resolution. An experimental pipeline based on FACS, RNA-seq and bioinformatics analysis was established and applied to systematically map cell-type-specific ‘imprintomes’ in the mouse brain. The results revealed that parental-specific expression of imprinted genes per se is rarely cell-type-specific even at the individual cell level. Conversely, when we extended the comparison to downstream responses resulting from imbalanced imprinted gene expression, we discovered an unexpectedly high degree of cell-type specificity. Furthermore, we determined a novel function of genomic imprinting in cortical astrocyte production and in olfactory bulb (OB) granule cell generation. These results suggest important functional implication of genomic imprinting for generating cell-type diversity in the brain.
In addition, MADM provides a powerful tool to study candidate genes by concomitant genetic manipulation and fluorescent labelling of single cells. MADM-based candidate gene approach was utilized to identify potential imprinted genes involved in the generation of cortical astrocytes and OB granule cells. We investigated p57Kip2, a maternally expressed gene and known cell cycle regulator. Although we found that p57Kip2 does not play a role in these processes, we detected an unexpected function of the paternal allele previously thought to be silent.
Finally, we took advantage of a key property of MADM which is to allow unambiguous investigation of environmental impact on single cells. The experimental pipeline based on FACS and RNA-seq analysis of MADM-labeled cells was established to probe the functional differences of single cell loss of gene function compared to global loss of function on a transcriptional level. With this method, both common and distinct responses were isolated due to cell-autonomous and non-autonomous effects acting on genotypically identical cells. As a result, transcriptional changes were identified which result solely from the surrounding environment.
Using the MADM technology to study genomic imprinting at single cell resolution, we have identified cell-type-specific gene expression, novel gene function and the impact of environment on single cell transcriptomes. Together, these provide important insights to the understanding of mechanisms regulating cell-type specificity and thus diversity in the brain
Elastic Alfven waves in elastic turbulence
Full text linkSpeed of sound waves in gases and liquids are governed by the compressibility of the medium. There exists another type of non-dispersive wave where the wave speed depends on stress instead of elasticity of the medium. A well-known example is the Alfven wave, which propagates through plasma permeated by a magnetic field with the speed determined by magnetic tension. An elastic analogue of Alfven waves has been predicted in a flow of dilute polymer solution where the elastic stress of the stretching polymers determines the elastic wave speed. Here we present quantitative evidence of elastic Alfven waves in elastic turbulence of a viscoelastic creeping flow between two obstacles in channel flow. The key finding in the experimental proof is a nonlinear dependence of the elastic wave speed cel on the Weissenberg number Wi, which deviates from predictions based on a model of linear polymer elasticity
The branched chain amino acids in autism spectrum disorders
No full textAutism spectrum disorders (ASD) are a group of genetic disorders often overlapping with other neurological conditions. Despite the remarkable number of scientific breakthroughs of the last 100 years, the treatment of neurodevelopmental disorders (e.g. autism spectrum disorder, intellectual disability, epilepsy) remains a great challenge. Recent advancements in genomics, like whole-exome or whole-genome sequencing, have enabled scientists to identify numerous mutations underlying neurodevelopmental disorders. Given the few hundred risk genes that were discovered, the etiological variability and the heterogeneous phenotypic outcomes, the need for genotype- along with phenotype-based diagnosis of individual patients becomes a requisite.
Driven by this rationale, in a previous study our group described mutations, identified via whole-exome sequencing, in the gene BCKDK – encoding for a key regulator of branched chain amino acid (BCAA) catabolism - as a cause of ASD. Following up on the role of BCAAs, in the study described here we show that the solute carrier transporter 7a5 (SLC7A5), a large neutral amino acid transporter localized mainly at the blood brain barrier (BBB), has an essential role in maintaining normal levels of brain BCAAs. In mice, deletion of Slc7a5 from the endothelial cells of the BBB leads to atypical brain amino acid profile, abnormal mRNA translation and severe neurological abnormalities. Additionally, deletion of Slc7a5 from the neural progenitor cell population leads to microcephaly. Interestingly, we demonstrate that BCAA intracerebroventricular administration ameliorates abnormal behaviors in adult mutant mice. Furthermore, whole-exome sequencing of patients diagnosed with neurological disorders helped us identify several patients with autistic traits, microcephaly and motor delay carrying deleterious homozygous mutations in the SLC7A5 gene.
In conclusion, our data elucidate a neurological syndrome defined by SLC7A5 mutations and support an essential role for the BCAAs in human brain function. Together with recent studies (described in chapter two) that have successfully made the transition into clinical practice, our findings on the role of BCAAs might have a crucial impact on the development of novel individualized therapeutic strategies for ASD
Clathrin-Mediated Endocytosis, post-endocytic trafficking and their regulatory controls in plants
No full textClathrin-Mediated Endocytosis (CME) is an aspect of cellular trafficking that is constantly regulated for mediating developmental and physiological responses. The main aim of my thesis is to decipher the basic mechanisms of CME and post-endocytic trafficking in the whole multicellular organ systems of Arabidopsis. The first chapter of my thesis describes the search for new components involved in CME. Tandem affinity purification was conducted using CLC and its interacting partners were identified. Amongst the identified proteins were the Auxilin-likes1 and 2 (Axl1/2), putative uncoating factors, for which we made a full functional analysis. Over-expression of Axl1/2 causes extreme modifications in the dynamics of the machinery proteins and inhibition of endocytosis altogether. However the loss of function of the axl1/2 did not present any cellular or physiological phenotype, meaning Auxilin-likes do not form the major uncoating machinery.
The second chapter of my thesis describes the establishment/utilisation of techniques to capture the dynamicity and the complexity of CME and post-endocytic trafficking. We have studied the development of endocytic pits at the PM – specifically, the mode of membrane remodeling during pit development and the role of actin in it, given plant cells possess high turgor pressure. Utilizing the improved z-resolution of TIRF and VAEM techniques, we captured the time-lapse of the endocytic events at the plasma membrane; and using particle detection software, we quantitatively analysed all the endocytic trajectories in an unbiased way to obtain the endocytic rate of the system. This together with the direct analysis of cargo internalisation from the PM provided an estimate on the endocytic potential of the cell. We also developed a methodology for ultrastructural analysis of different populations of Clathrin-Coated Structures (CCSs) in both PM and endomembranes in unroofed protoplasts. Structural analysis, together with the intensity profile of CCSs at the PM show that the mode of CCP development at the PM follows ‘Constant curvature model’; meaning that clathrin polymerisation energy is a major contributing factor of membrane remodeling. In addition, other analyses clearly show that actin is not required for membrane remodeling during invagination or any other step of CCP development, despite the prevalent high turgor pressure. However, actin is essential in orchestrating the post-endocytic trafficking of CCVs facilitating the EE formation. We also observed that the uncoating process post-endocytosis is not immediate; an alternative mechanism of uncoating – Sequential multi-step process – functions in the cell.
Finally we also looked at one of the important physiological stimuli modulating the process – hormone, auxin. auxin has been known to influence CME before. We have made a detailed study on the concentration-time based effect of auxin on the machinery proteins, CCP development, and the specificity of cargoes endocytosed. To this end, we saw no general effect of auxin on CME at earlier time points. However, very low concentration of IAA, such as 50nM, accelerates endocytosis of specifically PIN2 through CME. Such a tight regulatory control with high specificity to PIN2 could be essential in modulating its polarity
Model of bacterial toxin-dependent pathogenesis explains infective dose
No full textThe initial amount of pathogens required to start an infection within a susceptible host is called the infective dose and is known to vary to a large extent between different pathogen species. We investigate the hypothesis that the differences in infective doses are explained by the mode of action in the underlying mechanism of pathogenesis: Pathogens with locally acting mechanisms tend to have smaller infective doses than pathogens with distantly acting mechanisms. While empirical evidence tends to support the hypothesis, a formal theoretical explanation has been lacking. We give simple analytical models to gain insight into this phenomenon and also investigate a stochastic, spatially explicit, mechanistic within-host model for toxin-dependent bacterial infections. The model shows that pathogens secreting locally acting toxins have smaller infective doses than pathogens secreting diffusive toxins, as hypothesized. While local pathogenetic mechanisms require smaller infective doses, pathogens with distantly acting toxins tend to spread faster and may cause more damage to the host. The proposed model can serve as a basis for the spatially explicit analysis of various virulence factors also in the context of other problems in infection dynamics
Probabilistic Smart Contracts: Secure Randomness on the Blockchain
Full text linkIn today's programmable blockchains, smart contracts
are limited to being deterministic and non-probabilistic.
This lack of randomness is a consequential limitation, given that
a wide variety of real-world financial contracts, such as casino
games and lotteries, depend entirely on randomness. As a result,
several ad-hoc random number generation approaches have been
developed to be used in smart contracts. These include ideas such
as using an oracle or relying on the block hash. However, these
approaches are manipulatable, i.e. their output can be tampered
with by parties who might not be neutral, such as the owner of
the oracle or the miners.
We propose a novel game-theoretic approach for generating
provably unmanipulatable pseudorandom numbers on the blockchain.
Our approach allows smart contracts to access a
trustworthy source of randomness that does not rely on potentially
compromised miners or oracles, hence enabling the
creation of a new generation of smart contracts that are not limited
to being non-probabilistic and can be drawn from the much
more general class of probabilistic programs
The physics of development 100 years after D'Arcy Thompson's “on growth and form”
No full textBy applying methods and principles from the physical sciences to biological problems, D'Arcy Thompson's On Growth and Form demonstrated how mathematical reasoning reveals elegant, simple explanations for seemingly complex processes. This has had a profound influence on subsequent generations of developmental biologists. We discuss how this influence can be traced through twentieth century morphologists, embryologists and theoreticians to current research that explores the molecular and cellular mechanisms of tissue growth and patterning, including our own studies of the vertebrate neural tube