Distributed Massive MIMO in Cellular Networks: Impact of Imperfect Hardware and Number of Oscillators

Distributed massive multiple-input multiple-output (MIMO) combines the array gain of coherent MIMO processing with the proximity gains of distributed antenna setups. In this paper, we analyze how transceiver hardware impairments affect the downlink with maximum ratio transmission. We derive closed-form spectral efficiencies expressions and study their asymptotic behavior as the number of the antennas increases. We prove a scaling law on the hardware quality, which reveals that massive MIMO is resilient to additive distortions, while multiplicative phase noise is a limiting factor. It is also better to have separate oscillators at each antenna than one per BS.

Discrete-Time Conserved Quantities for Damped Oscillators

Numerical sound synthesis is often carried out using the finite difference time domain method. In order to analyse the stability of the derived models, energy methods can be used for both linear and nonlinear settings. For Hamiltonian systems the existence of a conserved numerical energy-like quantity can be used to guarantee the stability of the simulations. In this paper it is shown how to derive similar discrete conservation laws in cases where energy is dissipated due to friction or in the presence of an energy source due to an external force. A damped harmonic oscillator (for which an analytic solution is available) is used to present the proposed methodology. After showing how to arrive at a conserved quantity, the simulation of a nonlinear single reed shows an example of an application in the context of musical acoustics.

Exciting dynamical behavior in a network of two coupled rings of Chen oscillators

We study exotic patterns appearing in a network of coupled Chen oscillators. Namely, we consider a network of two rings coupled through a “buffer” cell, with Z3×Z5 symmetry group. Numerical simulations of the network reveal steady states, rotating waves in one ring and quasiperiodic behavior in the other, and chaotic states in the two rings, to name a few. The different patterns seem to arise through a sequence of Hopf bifurcations, period-doubling, and halving-period bifurcations. The network architecture seems to explain certain observed features, such as equilibria and the rotating waves, whereas the properties of the chaotic oscillator may explain others, such as the quasiperiodic and chaotic states. We use XPPAUT and MATLAB to compute numerically the relevant states.

Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators

We study the peculiar dynamical features of a fractional derivative of complex-order network. The network is composed of two unidirectional rings of cells, coupled through a "buffer" cell. The network has a Z3 × Z5 cyclic symmetry group. The complex derivative Dα±jβ, with α, β ∈ R+ is a generalization of the concept of integer order derivative, where α = 1, β = 0. Each cell is modeled by the Chen oscillator. Numerical simulations of the coupled cell system associated with the network expose patterns such as equilibria, periodic orbits, relaxation oscillations, quasiperiodic motion, and chaos, in one or in two rings of cells. In addition, fixing β = 0.8, we perceive differences in the qualitative behavior of the system, as the parameter c ∈ [13, 24] of the Chen oscillator and/or the real part of the fractional derivative, α ∈ {0.5, 0.6, 0.7, 0.8, 0.9, 1.0}, are varied. Some patterns produced by the coupled system are constrained by the network architecture, but other features are only understood in the light of the internal dynamics of each cell, in this case, the Chen oscillator. What is more important, architecture and/or internal dynamics?

CLOCK-controlled polyphonic regulation of circadian rhythms through canonical and noncanonical E-boxes.

In mammalian circadian clockwork, the CLOCK-BMAL1 complex binds to DNA enhancers of target genes and drives circadian oscillation of transcription. Here we identified 7,978 CLOCK-binding sites in mouse liver by chromatin immunoprecipitation-sequencing (ChIP-Seq), and a newly developed bioinformatics method, motif centrality analysis of ChIP-Seq (MOCCS), revealed a genome-wide distribution of previously unappreciated noncanonical E-boxes targeted by CLOCK. In vitro promoter assays showed that CACGNG, CACGTT, and CATG(T/C)G are functional CLOCK-binding motifs. Furthermore, we extensively revealed rhythmically expressed genes by poly(A)-tailed RNA-Seq and identified 1,629 CLOCK target genes within 11,926 genes expressed in the liver. Our analysis also revealed rhythmically expressed genes that have no apparent CLOCK-binding site, indicating the importance of indirect transcriptional and posttranscriptional regulations. Indirect transcriptional regulation is represented by rhythmic expression of CLOCK-regulated transcription factors, such as Krüppel-like factors (KLFs). Indirect posttranscriptional regulation involves rhythmic microRNAs that were identified by small-RNA-Seq. Collectively, CLOCK-dependent direct transactivation through multiple E-boxes and indirect regulations polyphonically orchestrate dynamic circadian outputs.

In vivo characterization of the circadian clock output gene usp2

Life on earth is subject to the repeated change between day and night periods. All organisms that undergo these alterations have to anticipate consequently the adaptation of their physiology and possess an endogenous periodicity of about 24 hours called circadian rhythm from the Latin circa (about) and diem (day). At the molecular level, virtually all cells of an organism possess a molecular clock which drives rhythmic gene expression and output functions. Besides altered rhythmicity in constant conditions, impaired clock function causes pathophysiological conditions such as diabetes or hypertension. These data unveil a part of the mechanisms underlying the well-described epidemiology of shift work and highlight the function of clock-driven regulatory mechanisms. The post-translational modification of proteins by the ubiquitin polypeptide is a central mechanism to regulate their stability and activity and is capital for clock function. Similarly to the majority of biological processes, it is reversible. Deubiquitylation is carried out by a wide variety of about ninety deubiquitylating enzymes and their function remains poorly understood, especially in vivo. This class of proteolytic enzymes is parted into five families including the Ubiquitin-Specific Proteases (USP), which is the most important with about sixty members. Among them, the Ubiquitin-Specific Protease 2 (Usp2) gene encodes two protein isoforms, USP2-45 and USP2-69. The first is ubiquitously expressed under the control of the circadian clock and displays all features of core clock genes or its closest outputs effectors. Additionally, Usp2-45 was also found to be induced by the mineralocorticoid hormone aldosterone and thought to participate in Na+ reabsorption and blood pressure regulation by Epithelial Na+ Channel ENaC in the kidneys. During my thesis, I aimed to characterize the role of Usp2 in vivo with respect to these two areas, by taking advantage of a total constitutive knockout mouse model. In the first project I aimed to validate the role of USP2-45 in Na+ homeostasis and blood pressure regulation by the kidneys. I found no significant alterations of diurnal Na+ homeostasis and blood pressure in these mice, indicating that Usp2 does not play a substantial role in this process. In urine analyses, we found that our Usp2-KO mice are actually hypercalciuric. In a second project, I aimed to understand the causes of this phenotype. I found that the observed hypercalciuria results essentially from intestinal hyperabsorption. These data reveal a new role for Usp2 as an output effector of the circadian clock in dietary Ca2+ metabolism in the intestine.

Circadian Variations of Ischemic Burden Among Patients with Myocardial Infarction Undergoing Primary Percutaneous Coronary Intervention

Introduction Le rythmes circadiens influencent différents paramètres de la physiologie et de la physiopathologie cardiovasculaire. Récemment, une relation entre la taille d'un infarctus et l'heure du jour à laquelle il se produit a été suggérée dans des modèles expérimentaux d'infarctus du myocarde. Le but de cette étude a été de déterminer si les rythmes circadiens pouvaient influencer la gravité d'un infarctus en terme de taille et de mortalité chez les patients hospitalisés pour un infarctus du myocarde avec sus-décalage du segment ST (STEMI) ayant bénéficié d'une intervention coronarienne percutanée primaire (ICPP). Méthode Chez 353 patients consécutifs admis avec un STEMI et traités par ICPP, l'heure à la survenue des symptômes, le pic de créatine kinase (reflet de la taille d'un infarctus) et le suivi à 30 jours ont été collectés. Les patients ont été répartis en 4 groupes en fonction de l'heure de survenue de leurs symptômes (00 :00 - 05h59, 06:00 - 11 59 12 00-17h59 et 18h00-23h59). Résultats Aucune différence statistiquement significative n'a été retrouvée entre les différents groupes en ce qui concerne les caractéristiques des patients ou de leur prise en charge. Après analyse multivariée, nous avons mis en évidence une différence statistiquement significative entre les pics de créatine kinase chez les patients avec survenue des symptômes entre 00 :00 et 05:59, qui étaient plus élevés que les pics de créatine kinase chez les patients avec survenue des symptômes à tout autre moment de la journée (augmentation moyenne de 38,4%, ρ <0.05). A 30 jours, la mortalité des patients avec survenue des symptômes entre 00 :00 et 05:59 était également significativement plus élevé que celle des patients avec survenue à tout autre moment de la journée (p <0.05). Conclusion Notre étude démontre une corrélation indépendante entre la taille d'un infarctus STEMI traité par ICPP et le moment de la journée où les symptômes apparaissent. Ces résultats suggèrent que ce moment devrait être un paramètre important à prendre en compte pour évaluer le pronostic des patients.

Effect of a fluctuating parameter mismatch and the associated time-scales on coupled Rossler oscillators

We study the effect of parameter fluctuations and the resultant multiplicative noise on the synchronization of coupled chaotic systems. We introduce a new quantity, the fluctuation rate Ф as the number of perturbations occurring to the parameter in unit time. It is shown that ϕ is the most significant quantity that determines the quality of synchronization. It is found that parameter fluctuations with high fluctuation rates do not destroy synchronization, irrespective of the statistical features of the fluctuations. We also present a quasi-analytic explanation to the relation between ϕ and the error in synchrony.

A simple regulated power supply for characteristics studies of klystron oscillators

A simple and inexpensive power supply suitable for characteristics studies of a klystron is described. The circuit is a modified form of the high voltage adjustable power supply based on LM 317. This provides the necessary cavity and repeller voltages over a wide range, with good regulation. The system is protected aa- ainst short circuits and is ideallv suitable for laboratorv, ex.Deri ments with reflex klystrons.

Photoperiod-dependent plasticity of circadian pacemaker center in the brain of the Madeira cockroach Rhyparobia maderae

To various degrees, insects in nature adapt to and live with two fundamental environmental rhythms around them: (1) the daily rhythm of light and dark, and (2) the yearly seasonal rhythm of the changing photoperiod (length of light per day). It is hypothesized that two biological clocks evolved in organisms on earth which allow them to harmonize successfully with the two environmental rhythms: (1) the circadian clock, which orchestrates circadian rhythms in physiology and behavior, and (2) the photoperiodic clock, which allows for physiological adaptations to changes in photoperiod during the course of the year (insect photoperiodism). The circadian rhythm is endogenous and continues in constant conditions, while photoperiodism requires specific light inputs of a minimal duration. Output pathways from both clocks control neurosecretory cells which regulate growth and reproduction. This dissertation focuses on the question whether different photoperiods change the network and physiology of the circadian clock of an originally equatorial cockroach species. It is assumed that photoperiod-dependent plasticity of the cockroach circadian clock allows for adaptations in physiology and behavior without the need for a separate photoperiodic clock circuit. The Madeira cockroach Rhyparobia maderae is a well established circadian clock model system. Lesion and transplantation studies identified the accessory medulla (aMe), a small neuropil with about 250 neurons, as the cockroach circadian pacemaker. Among them, the pigment-dispersing factor immunoreactive (PDF-ir) neurons anterior to the aMe (aPDFMes) play a key role as inputs to and outputs of the circadian clock system. The aim of my doctoral thesis was to examine whether and how different photoperiods modify the circadian clock system. With immunocytochemical studies, three-dimensional (3D) reconstruction, standardization and Ca2+-imaging technique, my studies revealed that raising cockroaches in different photoperiods changed the neuronal network of the circadian clock (Wei and Stengl, 2011). In addition, different photoperiods affected the physiology of single, isolated circadian pacemaker neurons. This thesis provides new evidence for the involvement of the circadian clock in insect photoperiodism. The data suggest that the circadian pacemaker system of the Madeira cockroach has the plasticity and potential to allow for physiological adaptations to different photoperiods. Therefore, it may express also properties of a photoperiodic clock.

Analysis of the circadian system of the cockroach Rhyparobia (Leucophaea) maderae

Biologische Rhythmen bestimmen das gesamte Leben auf der Erde. Dabei scheint der circadiane Rhythmus der bekannteste zu sein, welcher durch eine Periodendauer von etwa (lat. circa) 24 Stunden gekennzeichnet ist. Dieser seit Jahrmillionen täglich stattfindende Wechsel von Hell- und Dunkelphasen führte zur Entwicklung von inneren Uhren in nahezu allen Organismen, welche die Physiologie und das Verhalten steuern. In der Schabe Rhyparobia (Leucophaea) maderae, einem etablierten Modellorganismus der circadianen Rhythmusforschung, konnte die innere Uhr auf die akzessorischen Medulla (AMe) eingegrenzt werden. Da neben klassischen Neurotransmittern auch Neuropeptide unablässig für die Aufrechterhaltung des endogenen Rhythmus oder aber für Synchronisationsprozesse sind, bestand der Hauptfokus der Arbeit in der Analyse einer möglichen Beteiligung des myoinhibitorischen Neuropeptids (MIP) am circadianen System von R. maderae. Mittels MALDI-TOF Massenspektrometrie konnten fünf Rhyparobia-MIPs in Präparationen der AMe identifiziert und zwei vollständig sequenziert werden. Immunzytochemische Analysen zeigten neben einer weiten MIP-Immunreaktivität im Gehirn eine dichte Innervierung der AMe und mit ihr assoziierten Neuronengruppen. Kolokalisation von MIP- und Pigment-dispersing Faktor-Immunreaktivitäten wurden in mindestens zwei circadianen Schrittmacherzellen beobachtet. Immunreaktivitäten in diversen Kommissuren lassen den Schluss zu, dass Rhyparobia-MIPs als Kopplungsfaktoren beider akzessorischen Medullae agieren. Immunzytochemische Kolokalisationsexperimente mit anderen neuroaktiven Kandidaten für den Lichteingangsweg zeigen, dass Rhyparobia-MIPs auch an der Übermittlung photischer Eingänge in die AMe vom ipsi- und kontralateralen Komplexauge beteiligt sein könnten. Darüber hinaus konnte durch Injektionsexperimente kombiniert mit Verhaltensassays gezeigt werden, dass mindestens Rhyparobia-MIP-1 und -2 Eingangssignale in die AMe sind. Des Weiteren konnte mittels enzyme-linked immunosorbent Assays gezeigt werden, dass MIP in der AMe und dem optischen Lobus mindestens über G-Protein gekoppelte Rezeptoren agiert. Diese Rezeptoren scheinen zudem tageszeitabhängig unterschiedlich exprimiert oder aber unterschiedlich sensitiv zu sein.

Analysis of second messengers in peripheral and central circadian pacemakers

In früheren Experimenten konnte gezeigt werden, dass die sekundären Botenstoffe cAMP, cGMP und IP3 in der olfaktorischen Signaltransduktionskaskade bei Manduca sexta involviert sind. Während cGMP Perfusionen in die Antenne die Pheromonwahrnehmung tageszeitabhängig adaptierten, führten cAMP Perfusionen zu einer tageszeitabhängigen Sensitisierung, ähnlicher der von Octopamin (OA). Daher wurde hypothetisiert, dass eine tageszeitabhängige Oszillation antennaler OA Level sowie der intrazelluläre Kalziumkonzentration in einer Schwankung von sekundären Botenstoffen resultieren könnte. Diese Hypothese wurde mittels biochemischen Nachweißverfahren in der Antenne von M. sexta und Rhyparobia maderae überprüft. Tatsächlich konnten in der Antenne des Tabakschwärmers tageszeitabhängige Unterschiede in der OA-, cAMP- und IP3-, aber nicht in der cGMP Konzentration, nachgewiesen werden. Während die cAMP- und OA Oszillationen einander sehr ähnelten und die Maxima in der Paarungsphase aufzeigten, korrelierte der IP3 Verlauf sehr stark mit dem Flug- bzw. Fressverhalten. Diese Korrelationen konnten auch in der Madeira Schabe beobachtet werden, in der darüber hinaus gezeigt werden konnte, dass antennale cAMP- und IP3 Level von dem circadianen Uhrwerk gesteuert werden. Zudem wurde herausgefunden, dass OA die cAMP- und teilweise auch die IP3- Spiegel reguliert. Demgegenüber beeinflusste Kalzium die Konzentration aller untersuchten sekundären Botenstoffe. Daher wird angenommen, dass die intrazelluläre Kalziumkonzentration aber auch der antennale OA Level kritische Faktoren bei der Regelung der olfaktorischen Sensitivität sind. Da Oszillationen von sekundären Botenstoffen in mutmaßlichen, peripheren Schrittmacher nachgewiesen wurden, wurde untersucht, ob sie auch im circadianen Schrittmacher der Madeira Schabe oszillieren und ob das Neuropeptid pigment-dispersing factor (PDF), ein entscheidender Kopplungsfaktor des Uhrwerks in Insekten, diese Rhythmen generieren könnte. Es konnte gezeigt werden, dass PDF die cAMP Synthese steigert. Darüber hinaus wurden bimodale cAMP Oszillationen unter licht-dunkel Bedingungen beobachtet, welche unter konstanten Umweltbedingungen verblieben. Daher wird angenommen, dass PDF Freisetzung zelluläres cAMP erhöht über das das circadiane Uhrwerk synchronisiert wird.