Steady State Research Articles

Dynamics of convolutional recurrent neural networks near their critical point

We examine the dynamical properties of a single-layer convolutional recurrent network with a smooth sigmoidal activation function, for small values of the inputs and when the convolution kernel is unitary, so all eigenvalues lie exactly at the unit circle. Such networks have a variety of hallmark properties: the outputs depend on the inputs via compressive nonlinearities such as cubic roots and both the and the depend sensitively on the inputs as power laws, both diverging as the input →0. The basic dynamical mechanism is that inputs to the network generate ongoing activity, which in turn controls how additional inputs or signals propagate spatially or attenuate in time. We present analytical solutions for the steady states when the network is forced with a single oscillation and when a background value creates a steady state of “ongoing activity” and derive the relationships shaping the value of the temporal decay and spatial propagation length as a function of this background value. Published by the American Physical Society 2024

Carotenoid composition and sequestration in cassava (Manihot esculentum Crantz) roots

Cassava (Manihot esculentum Crantz) is a staple food source for many developing countries. Its edible roots are high in starch but lack micronutrients such as β-carotene. In the present study, analysis of pedigree breeding populations has led to the identification of cassava accessions with enhanced β-carotene contents up to 40 μg/g DW. This represents 0.2% of the Recommended Daily Allowance (RDA) for vitamin A. The β-branch of the carotenoid pathway predominates in cassava roots, with dominant levels of β-carotene followed by other minor epoxides of β-ring derived carotenoids. Metabolomic analysis revealed that steady state levels of intermediary metabolism were not altered by the formation of carotenoids, similar to starch and carbohydrate levels. Apocarotenoids appeared to be independent of their carotenoid precursors. Lipidomic analysis provided evidence of a significant positive correlation between carotenoid and lipid content, in particular plastid specific galactolipids. Proteomic analysis of isolated amyloplasts identified the majority of proteins associated with translation and carbohydrate/starch biosynthesis (e.g. glucose-1-phosphate adenylyltransferase). No carotenoid related proteins were detected even in the highest carotenoid containing lines. Carotenoids were associated with fractions typically annotated as plastoglobuli and plastid membranes (particularly the envelope). Proteomic analysis confirmed these structures apart from plastoglobuli, thus potentially amyloplast structures may not contain classical plastoglobuli structures.

A rigorously simple quantitative model for free radical behavior in aerobic biological systems

Background Human life is based on oxygen respiration and an enzymatic, free radical-dependent water chemistry, whose billions of parallel reactions take place at pH ∼7.4 and a temperature of 37°C, in accordance with the laws of chemistry. The cellular metabolic processes occur over time periods covered by the half-lives of ROS (reactive oxygen species) for °OH to over 10 s for LOS (lipid oxygen species), indicating that mixtures of free radicals form the basic components for these processes. Summary and Key Messages The main source of radicals is the mitochondrial conversion of 1-5 % oxygen into "primary" ROS and "secondary" LOS. Every endogenous and exogenous radical generation, triggered by "natural background radiation", "natural environment" or "solar radiation" leads to qualitatively similar mixtures of "primary" ROS and "secondary" LOS or RNS (reactive nitrogen species). A Multilevel Antioxidant Regulation, Repair and Protection System (MARRPS) keeps these radical mixtures in a steady state. Depending on the total number of free radicals, different areas of radical action are defined. The Free Radical Ground State (FRGS) with "homeostasis" and "adaptive homeostasis", the Free Radical Threshold Value (FRTV) and Free Radical Pathological Conditions (FRPC). The quantitative ratio ROS > LOS comprehensively characterizes the "homeostasis" and "adaptive homeostasis" area of the FRGS. The total number of free radicals cannot be measured directly in the "homeostasis" area. "Adaptive homeostasis" is achieved when excess radicals are stable produced beyond "homeostasis" of the FRGS. The quantity that remains controllable in this range is a maximum of ∼3.58 10¹² radicals/mg, the value of the body constant FRTV. The sensitized MARRPS provides "semi-stable homeostatic" states characterized by dual stability with ROS > LOS and a stable total ROS/LOS and RNS count beyond the basal FRGS "homeostasis". If the total number of all radicals exceeds the FRTV, where LOS > ROS, this initiates uncontrolled radical chain reactions. The partial failure of the MARRPS in the FRPC area leads to pathological processes which are the starting point for a hundred different diseases. The design principle described by this simple model applies universally to all aerobic life.

Immobilized Horseradish Peroxidase on Enriched Diazo-Activated Silica Gel Harnessed High Biocatalytic Performance at a Steady State in Organic Solvent.

Dimethyldichlorosilane (DMDCS), an efficient silane coupling reagent appearing between the -OH groups of silica gel (SG) and picric acid, instantaneously produces a derivative enriched with nitro groups. The nitro group acting as an end-cap terminates the reaction and subsequently was converted into diazo to couple tyrosine's phenol ring via its O-carbon, the inert center to immobilize horseradish peroxidase (HRP) in a multipoint mode. It maintains the status quo of the native enzyme's protein folding and the entire protein groups' chemistry. The molecular formula of the synthesized material was verified and appeared as {Si(OSi)4 (H2O)x}n{-O-Si(CH3)2-O-C6H2(N+≡N)3(HRP)}4·yH2O; the parameters were evaluated as x = 0.5, n = 1158, and y = 752. The immobilized biocatalyst's activity in organic solvents was 1.5 times better than that in an aqueous medium; it worked smoothly, wherein the activity in both solvents stabilized at six months and continued up to nine months at 63 ± 3% compared to the initial.

Classical Batch Distillation of Anaerobic Digestate to Isolate Ammonium Bicarbonate: Membrane Not Necessary!

The excessive mineralization of organic molecules during anaerobic fermentation increases the availability of nitrogen and carbon. For this reason, the development of downstream processing technologies is required to better manage ammonia and carbon dioxide emissions during the storage and land application of the resulting soil organic amendment. The present work investigated classical distillation as a technology for valorizing ammoniacal nitrogen (NH4+-N) in anaerobic digestate. The results implied that the direct isolation of ammonium bicarbonate (NH4HCO3) was possible when applying the reactive distillation to the food waste digestate (FWD) with a high content of NH4+-N, while the addition of antifoam to the agrowaste digestate (AWD) was necessary to be able to produce an aqueous solution of NH4HCO3 as the distillate. The reason was that the extraction of NH4HCO3 from the AWD required a higher temperature (>95 °C) and duration (i.e., steady state in batch operation) than the recovery of the inorganic fertilizer from the FWD. The titration method, when applied to the depleted digestate, offered the quickest way of monitoring the reactive distillation because the buffer capacity of the distillate was much higher. The isolation of NH4HCO3 from the FWD was attained in a transient mode at a temperature below 90 °C (i.e., while heating up to reach the desired distillation temperature or cooling down once the batch distillation was finished). For the operating conditions to be regarded as techno-economically feasible, they should be attained in the anaerobic digestion plant by integrating the heat harvested from the engines, which convert the biogas into electricity.

ABA and Melatonin: Players on the Same Field?

In plants, abscisic acid (ABA) and melatonin (MT) are conventionally treated as molecules mitigating stress responses. To understand the mechanisms of ABA–MT interplay, we examined the effects of ABA and MT treatment in ABA and MT loss-of-function mutants of Arabidopsis thaliana exposed to high light (HL) stress. ABA constantly suppressed ASMT encoding N-acetylserotonin methyltransferase in the context of differential responses of other MT biosynthesis genes in both the wild type (WT) and mutants. However, this response was absent in the mutant with the disrupted ABI4. Given that the ASMT promoter region contains several potential ABI4-binding elements, these data suggest that ASMT can be a potential target gene for ABI4. A role for ABI4 in the interactions between ABA and MT is supported by the finding that ABI4 is constitutively derepressed in the MT signaling mutants cand2 and gpa1, which exhibited elevated steady state levels of ABI4 transcripts and were not regulated by either stress or melatonin. In addition, the abi4 mutant showed increased modulations in the expression of the MT catabolic genes M2H and M3H in response to ABA treatment, inferring that this transcription factor is a negative regulator of ABA-dependent changes in MT content. Furthermore, all tested mutants with impaired ABA synthesis or signaling displayed elevated steady state MT levels compared to WT, while MT treatment contributed to the downregulation of key ABA synthesis and signaling genes. Collectively, our results suggest that ABA and melatonin act antagonistically, modulating the expression of ABA and MT signaling and metabolism genes. To understand the mechanisms of ABA–MT interactions, we studied the effects of ABA and MT treatment in ABA and MT loss-of-function mutants of Arabidopsis thaliana exposed to severe light stress (SLS).

A Nonlocal Reaction‐Diffusion‐Advection System Modeling the Phytoplankton and Zooplankton

ABSTRACTWe present a nonlocal reaction‐diffusion‐advection system that models the predator–prey relationship between zooplankton and phytoplankton species in a eutrophic vertical water column. The invasion dynamics of zooplankton are analyzed in terms of the spontaneous death rates and buoyant/sinking velocities of both phytoplankton and zooplankton. Our analysis reveals that the zooplankton species can successfully invade and coexist with the phytoplankton only under conditions of low spontaneous death rates and matching buoyant/sinking velocities with phytoplankton. Additionally, we derived asymptotic profiles for the unique positive steady state of this system when one of the sinking or buoyant velocities of either phytoplankton or zooplankton approaches infinity, while the other velocity remains fixed. These findings highlight the significant role of advection due to buoyancy in shaping the dynamics of plankton ecosystems.

Thermal-hydraulic and safety analysis of alternative ceramic fuels in next generation of VVER-1000 reactor

Abstract The main aim of this study is the thermohydraulic and safety analysis of alternative UN and UC ceramic fuels in the next generation of VVER-1000/V446 reactor core. One of the advantages of these alternative fuels is their higher thermal conductivity and density relative to the UO2 conventional fuels. Thermohydraulic analysis has been performed under full power conditions. Also, the safety evaluation of alternative ceramic fuels has been researched by the Rod Ejection Accident (REA) scenario. RELAP5 Mod3.2 code is used for thermo-hydraulic analysis in both steady state and transient state in VVER-1000/V446 reactor. In addition, calculations of the fuel center temperature in mean and hot channels for steady state, the temperature of the hottest rod in the fuel assembly, the radial distribution of fuel temperature for both channels, and the maximum clad temperature during the reactivity injection have been performed. The results showed that in the steady state with full power, the fuel centreline temperature in UO2 is about twice the corresponding values for UN and UC alternative fuels which is very attractive from a safety point of view. In general, due to the large difference between the hot spot point and the melting point in alternative fuels, the thermal power and safety factors can be significantly increased in the next generation of VVER-1000/V446 reactors.

Understanding and Controlling the Formation of Nonradiative Defects in Blue Organic Triplet Emitters

Phosphorescent organic light-emitting devices (PHOLEDs) suffer from destructive molecular processes due to triplet-polaron and triplet-triplet annihilation. These processes are energetically driven and hence are particularly active in decreasing the lifetime of blue PHOLEDs. It has recently been shown that increasing triplet radiative rates via the Purcell effect effectively extends the device operational lifetime by reducing the triplet radiative lifetime, thus decreasing their density and the probability of triplet-annihilation reactions. We provide an analytical framework using Marcus theory to explain the observed, approximately exponential relationship between exciton energy and device lifetime. From transient drift-diffusion dynamics, we show that the Purcell effect reduces the exciton density in the steady state and increases the photoluminescent yield, thereby reducing defect generation rates and extending the device lifetime. We control the radiative rate of excitons in microcavities, thereby connecting the exciton energy and decay rates with the observed device lifetime. The device lifetime is shown to follow a power-law dependence on the Purcell factor (PFm) with m=1.5 to 2.5, dependent on the TTA-to-TPA ratio and photoluminescence quantum yield. From our analysis, a fivefold increase in PF has the potential to extend the blue PHOLED lifetime by up to 2 orders of magnitude, making the blue PHOLED lifetime comparable to that of state-of-the-art green PHOLEDs. Published by the American Physical Society 2024

Monocytes give rise to Langerhans cells that preferentially migrate to lymph nodes at steady state

Current evidence suggests that ontogeny may account for the functional heterogeneity of some tissue macrophages, but not others. Here, we asked whether developmental origin drives different functions of skin Langerhans cells (LCs), an embryo-derived mononuclear phagocyte with features of both tissue macrophages and dendritic cells. Using time-course analyses, bone marrow chimeras, and fate tracing models, we found that the complete elimination of embryo-derived LCs at steady state results in their repopulation from circulating monocytes. However, monocyte-derived LCs inefficiently replenished the epidermal niche. Instead, these cells preferentially migrated to skin-draining lymph nodes. Mechanistically, we show that the enhanced migratory capability of monocyte-derived LCs is associated with higher expression of CD207/Langerin, a C-type lectin involved in the capture of skin microbes. Our data demonstrate that ontogeny plays a role in the migratory behavior of epidermal LCs.

Nifedipine May Be an Inhibitor of Clozapine Metabolism, as Seen in 5 Patients: 2 from a US Double-Blind Study and 3 from a German TDM Study

Background: Clozapine is the only licensed antipsychotic for treatment-refractory schizophrenia. Therapeutic drug monitoring (TDM) refers to the measurement of clozapine concentration. Clozapine TDM can be used to optimize treatment, particularly by identifying pharmacokinetic interactions between clozapine and comedications. Methods: We identified 5 cases of patients with available clozapine concentrations who were concomitantly receiving nifedipine and clozapine. These cases were drawn from 2 independent datasets: 2 from a double-blind, randomized clinical trial in the United States and 3 from a German TDM naturalistic database. As an index of clozapine clearance, we used the trough-level concentration-to-dose (C/D) ratios to estimate the minimum therapeutic doses. To estimate dose-correction factors for nifedipine treatment, we included only clozapine concentrations at steady state. We divided the clozapine minimum therapeutic doses (MTD) from the on-condition by the off-nifedipine condition. Results: In 4 patients, the ratio of on/off nifedipine for MTD ranged between 0.58 and 0.82. Another patient had no data and had to be compared with published control data (female smoker of African ancestry), providing a correction factor of 0.52 after eliminating 5 concentrations contaminated by the development of obesity. Conclusions: In the absence of access to TDM, when prescribing nifedipine to clozapine-treated patients, we recommend reducing the daily dose of clozapine by one-third because of the weak inhibition of clozapine metabolism. With access to TDM, TDM should guide dosing as unusual patients may need larger dose reductions, as it is possible that in some patients, nifedipine may be a moderate inhibitor requiring halving clozapine dose. Further prospective studies are warranted.

Dynamic Evolution of Poly-A Tail Lengths Visualized by RNAse H Assay and Northern Blot Using Nonradioactive Probes in Yeast.

Poly-A tail length dynamics have been extensively studied from yeast to human, mostly using reporter transcripts. Recent studies have been carried out genome-wide to determine the status of poly-A tails at steady state. However, poly-A tail measurement at equilibrium gives an overall length that reflects a mixture of the different poly-A tail sizes for a single transcript. New genome-scale techniques are emerging to estimate dynamic of poly-A tails lengths, but they are not yet routine and individual validation experiments are useful. In this chapter we describe a protocol for visualizing poly-A tail lengths following transcription inhibition for a reporter mRNA using denaturing poly-acrylamide gel electrophoresis and northern blot assay. This protocol is quick to set up, requires the purchase of only a few specific reagents, does not rely on radioactivity for RNA monitoring, and can be easily implemented in any molecular biology laboratory.

Pseudomonas Labyrinthitis Complicating Acute Otitis Media: Case Report.

Background: Bacterial labyrinthitis has been rarely described. Pseudomonas incrimination is even exceptional. Herein, we present a case of pseudomonas labyrinthitis and discuss diagnosis, value of imaging, treatment and prognosis of this entity. Case Report: A 18-year-old female presented with left sudden hearing loss, rotatory vertigo, vomiting, and tinnitus evolving for 24 hours. Ten days earlier, she presented symptoms of acute media otitis. Otoendoscopic examination revealed a tympanic perforation with purulent otorrhea. Vestibular examination revealed a harmonious peripheric vestibular syndrome. A tonal audiogram showed a left perceptive deafness. A temporal computed tomography scan showed left opacity of the middle ear. Magnetic resonance imaging (MRI) excluded cholesteatomatous otitis, and constructive interference steady state (CISS) sequence revealed intense labyrinthine enhancement. Otorrhea sample culture isolated Pseudomonas aeruginosa. She initially received probabilistic intravenous antibiotherapy associating cefotaxime to vancomycin for 17 days, then, we switched to adapt to the antibiogram. She had a total of 25 days of antibiotic therapy and 14 days of corticosteroid treatment. She also benefited of vestibular rehabilitation and hyperbaric oxygenotherapy. The dizziness subsided, but the deafness persisted. Conclusion: Labyrinthitis is increasingly rare in the era of antibiotic therapy. P. aeruginosa is an exceptional germ in this context. MRI is an indispensable tool for the positive and the differential diagnosis.

Synthesis and Properties of Covalently Linked Fluorescent Tetrads Containing Two BODIPYs and Two 3‐Pyrrolyl BODIPYs

Two covalently linked fluorescent tetrads containing two BODIPY units and two 3‐pyrrolyl BODIPY units have been synthesized over a sequence of steps starting with bis(3‐pyrrolyl BODIPY) as the key precursor. Both covalently linked tetrads 6 and 7 were confirmed by HR‐MS and characterized and studied by 1D and 2D NMR, absorption, cyclic voltammetry, steady state and time‐resolved fluorescence techniques, and also by DFT and TD‐DFT methods. The tetrad 6 exhibited one strong absorption band at 680 nm whereas the tetrad 7 showed strong absorption bands at 510 nm and 648 nm corresponding to BODIPY and 3‐pyrrolyl BODIPY units respectively and the absorption band of tetrad 6 was bathochromically shifted due to effective π‐conjugation in tetrad 6 compared to tetrad 7. The electrochemical studies revealed that tetrads exhibit only two reductions indicating their electron deficient nature. The steady state and time‐resolved fluorescence studies invoked a possibility of singlet‐singlet energy transfer from BODIPY units to 3‐pyrrolyl BODIPY units in one of the tetrads upon selective excitation of BODIPY unit. In this tetrad, the BODIPY unit acts as an energy donor whereas the 3‐pyrrolyl BODIPY unit acts as an energy acceptor. The theoretical studies were corroborated with experimental results.

Project Report: Thermal Performance of FIRSTLIFE House

The paper deals with selected thermal properties of a small building that was built during the international student competition Solar Decathlon 2021/2022 and is now part of the Living Lab in Wuppertal. It summarizes the essential information about the overall design of this wooden building with construction and technologies corresponding to the passive building standard. Built-in sensors and other equipment enable long-term monitoring of thermal parameters. Part of the information comes from the building operation control system. The thermal transmittance value for the perimeter wall matches calculated expectation well, even from a short period of time and not at an achievable perfectly steady state boundary condition. The (positive) difference between the calculated values and the measured ones did not exceed 0.015 W/(m2K). It was proven that even for such a small building with a very small heat demand, the heat transfer coefficient can be estimated alternatively from a co-heating test (measured electricity power for a fan heater) and from energy delivered to underfloor heating (calorimeter in heating system). Differences among both measurement types and calculation matched in the range ± 10%. In the last section, the dynamic response test is briefly described. The measured indoor air temperature curves under periodic dynamic loads (use of fan heater) are compared with the simulation results. The simulation model working with lumped parameters for each element of the building envelope was able to replicate the measured situation well, while its use does not require special knowledge of the user. In the studied case, the differences between measured and simulated air temperatures were less than 1 Kelvin if the first two to three days of the test period are ignored due to large thermal inertia. Finally, the measurement campaign program for the next period is outlined.

Characterizing non-Markovian and coherent errors in quantum simulation

Quantum simulation of many-body systems, particularly using ultracold atoms and trapped ions, presents a unique form of quantum control—it is a direct implementation of a multi-qubit gate generated by the Hamiltonian. As a consequence, it also faces a unique challenge in terms of benchmarking, because the well-established gate benchmarking techniques are unsuitable for this form of quantum control. Here we show that the symmetries of the target many-body Hamiltonian can be used not only to benchmark but to characterize experimental errors in the quantum simulation. We use our results to develop protocols to characterize these errors, which can be implemented using state-of-the-art technology. We consider two forms of errors: (i) unitary errors arising out of systematic errors in the applied Hamiltonian and (ii) canonical non-Markovian errors arising out of random shot-to-shot fluctuations in the applied Hamiltonian. We show that the dynamics of the expectation value of the target Hamiltonian itself, which is ideally constant in time, can be used to characterize these errors. In the presence of errors, the expectation value of the target Hamiltonian shows a characteristic thermalization dynamics, when it satisfies the operator thermalization hypothesis (OTH). That is, an oscillation in the short time followed by relaxation to a steady-state value in the long time limit. We show that while the steady-state value can be used to characterize the coherent errors, the amplitude of the oscillations can be used to estimate the non-Markovian errors. We prove a sandwich theorem to establish a linear relation between the amplitude of the oscillations and the magnitude of the non-Markovian errors. Moreover, by varying the initial state, we show that the steady state values can be used to completely construct the generator of the coherent errors. Using these results, we develop two experimental protocols to characterize the unitary errors based on these results, one of which requires single-qubit addressing and the other one doesn't. We also develop a protocol to characterize non-Markovian errors. Published by the American Physical Society 2024

Analysis of a Markovian Queue of Single Server Performing in MultiPhase Subject to Disaster, Recovery and Repair

In this paper, we can study about Markovian single-server queue with servers in distinct phases of disaster and repair. The server can stay in full-active Phase or passive Phase randomly and alternately. The server is set to serve in two Phases, such as the full active Phase and passive Phase. When the server operates in full active Phase, the customers arrive and served in First Come: First Serve (FCFS) queue discipline. However, when the server switches from full active to passive Phase, it can only offer to provide service at a rate lower than that of the server in full active Phase. During passive Phase, customers are not allowed to join the system. The server moves to repair Phase immediately after the last customer is served, irrespective of the Phase. The customers will be restricted from joining the queue in repair Phase. After the repair Phase, the server will enter the full active Phase. The server remains in the system for a random period of time. In the event of a disaster, in full active and passive Phases, all customers in system aredropped out, and system moves to repair Phase. The expressions for the steady state probabilities and some key performance metrics are obtained. A numerical illustration is made to study the effects of server shifting from full active phase to passive phase that affects the customers in the system and the occurrence of disaster which has an adverse effect on the customers in that phase.

A Mathematical Model of Poverty and Cybercrime Dynamics in South-South, Nigeria

Poverty and cybercrime are two topical concepts that have attracted a lot of interest in Nigeria and in the global community today. This study used the compartmental mathematical modelling approach to provide a comprehensive framework for analyzing the dynamics of poverty and its relationship with cybercrime in the South-South region of Nigeria. The model was derived from a five-compartment representation from which a set of five ordinary differential equations (ODEs) was developed, which captures its dynamism. The stability analysis and determination of the conditions for stability at steady state of the system were done using the Routh Array criterion. The ODEs were solved numerically using the fourth-order Runge Kutta method. Findings reveals that intervention programmes at different stages can help decrease the population in both impoverished and cybercrime compartments in the region.

Pharmacokinetics of Salbutamol in Thoroughbred Horses After a Single Intravenous or Inhaled Administration.

Salbutamol is a short-acting and selective beta-2 adrenergic agonist. Inhaled (IH) administration of salbutamol is widely used to control lower respiratory tract disease in horses. Here, we estimated the pharmacokinetic parameters of salbutamol after a single intravenous (IV) or IH administration in six horses, and we statistically analysed the detection times with various dosing regimens. Plasma and urine concentrations of salbutamol were measured by liquid chromatography-tandem mass spectrometry, and data were modelled by using a nonlinear mixed effect model followed by Monte Carlo simulation (MCS). With IH salbutamol, the maximum plasma concentration was 0.12 ± 0.06 ng/mL at 0.29 ± 0.17 h after administration. Typical values were, for clearance, 1.53 L/kg/h; distribution volume at steady state, 5.43 L/kg; terminal half-life, 6.06 h; IH bioavailability, 19.0%; and urine to plasma ratio, 2057. Statistically estimated 95th percentile detection times in the urine at levels below the international screening limit (0.5 ng/mL) proposed by the International Federation of Horseracing Authorities, as simulated in 5000 horses by MCS, were 44 h after 1.6 μg/kg q 24 and 54 h after 1.6 μg/kg q 4 h over a 3-day IH administration period.

From deterministic to stochastic: limits of extracting bifurcation diagrams for noisy bistable oscillators with the control-based continuation method

AbstractNoise limits the information that can be experimentally extracted from dynamical systems. In this study, we review the Control-based Continuation (CBC) approach, which is commonly used for experimental characterisation of nonlinear systems with coexisting stable and unstable steady states. The CBC technique, however, uses a deterministic framework, whereas in practice, almost all measurements are subject to some level of random perturbation, and the underlying dynamical system is inherently noisy. In order to discover what the CBC is capable of extracting from inherently noisy experiments, we study the Hopf normal form with quintic terms with additive noise. The bifurcation diagram of the deterministic core of this system is well-known, therefore the discrepancies introduced by noise can be easily assessed. First, we utilise the Step-Matrix Multiplication based Path Integral (SMM-PI) method to approximate the system’s steady state probability density function (PDF) for different intensity noise perturbations. We associate the local extrema of the resulting PDFs with limit cycles, and compare the resulting bifurcation diagram to those captured by CBC. We show that CBC estimates the bifurcation diagram of the noisy system well for noise intensities varying from small to moderate, and in practice, the amplitudes provided by CBC may be accepted as a ’best guess’ proxy for the vibration amplitudes characteristic to the near periodic solutions in a wide range of experiments.