Minimum Free Energy Research Articles

Feasibility analysis of water gas shift reaction for the removal of trace CO in hydrogen

The thermodynamic simulation analysis of carbon monoxide water gas shift in rich hydrogen was researched by using the method of Gibbs free energy minimization with Aspen plus software. For the purpose of purifying trace amount of CO in hydrogen, two raw gas compositions, 1%CO–99%H2 and 1%CO–24%CO2–75%H2, were purposely selected, and the influences of water to gas molar ratio (1–7) and transformation temperature (40–280 °C) were investigated. The results showed similar variation law as compared with the water gas shift of a pure CO gas. When the transformation temperature increased, the chemical equilibrium shifted toward the reverse direction, resulting in decreased CO equilibrium conversion; when the water to gas molar ratio increased, the CO conversion increased. The results also showed that CO2 had great negative effects on CO conversion compared with H2. For the CO/H2 feed gas, it was concluded that it was possible to reduce the 1% CO content to 100 ppm at 120 °C with the use of the best low-temperature catalyst reported in literature. If we want to further reduce the trace amount of CO in hydrogen to 10 ppm, it is necessary to develop ultra-low temperature catalysts that are highly active below 70 °C.

Inference of affordances and active motor control in simulated agents.

Flexible, goal-directed behavior is a fundamental aspect of human life. Based on the free energy minimization principle, the theory of active inference formalizes the generation of such behavior from a computational neuroscience perspective. Based on the theory, we introduce an output-probabilistic, temporally predictive, modular artificial neural network architecture, which processes sensorimotor information, infers behavior-relevant aspects of its world, and invokes highly flexible, goal-directed behavior. We show that our architecture, which is trained end-to-end to minimize an approximation of free energy, develops latent states that can be interpreted as affordance maps. That is, the emerging latent states signal which actions lead to which effects dependent on the local context. In combination with active inference, we show that flexible, goal-directed behavior can be invoked, incorporating the emerging affordance maps. As a result, our simulated agent flexibly steers through continuous spaces, avoids collisions with obstacles, and prefers pathways that lead to the goal with high certainty. Additionally, we show that the learned agent is highly suitable for zero-shot generalization across environments: After training the agent in a handful of fixed environments with obstacles and other terrains affecting its behavior, it performs similarly well in procedurally generated environments containing different amounts of obstacles and terrains of various sizes at different locations.

Self-organized ensembles of nematic domains in magnetic and electric fields.

The structural and magneto- and electro-optical properties of a self-organized ensemble of nematic domains formed on a polycarbonate film in the presence of a residual solvent are studied. The film covered one of the plane-parallel glass plates of a liquid crystal cell. The magnetic field stabilizing the planar alignment of the liquid crystal was applied parallel to the cell surfaces and the reorienting electric field, perpendicular to them. The voltage dependences of the intensity of light transmitted through the domain ensemble were obtained at different constant values of the magnetic field. The comparison of the experimental dependences with the dependences calculated using the liquid crystal free-energy minimization procedure has shown good agreement between them. The mutual effect of structural elements of the ensemble and the effects of phase modulation of light are analyzed by comparing the structural, magnetic, and electric coherence lengths.

Integrative network and computational simulation of clinical and genomic data for the identification of mutated EGFR in breast cancer patients for therapeutic targeting using purine analogues

ABSTRACT EGFR/HER-1, a major oncogene, is frequently activated in breast cancers due to rear mutational events, which reduces the patient's survival rate, hence is a significant target for therapeutics. A total of 5699 clinical samples data was analysed at the genomic and proteomic level, revealing 4% genetic alterations in EGFR, with the highest number of missense mutations at D916N in exon 20. The Kaplan–Meier plots indicated that the unaltered group's overall survival rate was higher than the altered group. Molecular network analysis shows 10 probable partners associated with EGFR involved in breast cancer. For identifying the specific drugs to target unaltered/altered EGFR, high throughput virtual screenings (HTVS) of purines analogues using Molecular docking and dynamic (MD) simulation were performed. Docking studies shortlist the top three lead compounds (of 619 screened) based on minimum free energy for each (ΔG = −7.6 to −8.0 kcal/mol.) target. Residues Thr854 and Asp855 of both unaltered/altered EGFR form strong interactions with the top three compounds. MD simulations showed only one compound-PubChem-id-113801230, which had good interaction with both altered and unaltered EGFR with drug-likeliness as assessed by ADME properties. Therefore, compound-113801230 can effectively and selectively target unaltered/altered EGFR as an effective breast cancer therapeutic drug.

Analysis of combustion synthesis method for Cu/CeO2 synthesis by integrating thermodynamics and design of experiments approach

Solution combustion synthesis (SCS) is a commonly used method for synthesizing nanomaterials due to its energy and time efficiency. Herein, we present an analysis of synthesis parameters to optimize a targeted property by integrating results from thermodynamic calculations with Design of Experiments (DOE) approach. The analysis is conducted on Cu/CeO2, a catalyst planned to be used for CO2 conversion reaction. The SCS reaction using Cu(NO3)2 and Ce(NO3)3 precursors as oxidizers and glycine (C2H5NO2) as a fuel were thermodynamically studied in detail to provide input parameters for DOE. Estimations of the adiabatic combustion temperature and product composition at the equilibrium conditions were accomplished on the basis of Gibbs free energy minimization principle. Two of the operative parameters in SCS; the fuel to oxidizer ratio (φ), and metal loading (Cu on CeO2); were optimized using the Central Composite Design approach (CCD) and the statistical software application Minitab. The analysis of combustion system was performed for two cases; without the excess external oxygen supply, and with excess oxygen presence. The results showed that the φ variable is the most significant factor effecting the adiabatic combustion temperature and total gaseous products. On the basis of 1 mol of solid product, the optimum predicted values to have the maximum adiabatic combustion temperature and maximum gas products for both the cases of without and with the use of excess oxygen being ∼1650 K, 15 mol and ∼2550 K and 30 mol, respectively.

An alphavirus-derived self-amplifying mRNA encoding PpSP15-LmSTI1 fusion protein for the design of a vaccine against leishmaniasis.

The main aims of the present study were to design a fusion protein of Leishmania major stress-inducible protein 1 (LmSTI1) and Phlebotomus papatasi SP15 (PpSP15), and to express it in the form of alphavirus packaged Self-amplifying mRNA (SAM). Two combinations, PpSP15-LmSTI1 and LmSTI1-PpSP15 fusion forms, were analyzed for folding and minimum free energies of the mRNA. Conformational studies on 3D modeled fusion and native forms were performed, and the Root-Mean-Square-distance (RMSD) of the Cα atomic coordinates were calculated. Antigenicity and stability were predicted using bioinformatics tools. The coding sequences of PpSP15-LmSTI1 fusion, PpSP15, and LmSTI1 were cloned into an alphavirus-based vector and used to produce the SAM constructs. All the subcloned constructs were then subjected to packaging in the form of viral replicon particles (VRPs),and were evaluated for their ability to infect BHK-21 cells and express the recombinant fusion proteins. The in-silico analysis indicated that the PpSP15-LmSTI1 combination could be a promising candidate based on lower folding ΔG of mRNA, higher protein antigenicity and lower instability indexes, and less conformational changes compared to the native proteins and the LmSTI1-PpSP15 fusion form. Packaged SAM encoding fusion and native antigens are used for infection of mammalian cells and for recombinant protein expression. This is the first study on in silico designing and successful packaging of an alphavirus-derived SAM in the form of the VRPs to target leishmaniasis.

Synthesis and characterization of a computationally predicted redox and radiation stable deep eutectic solvent

• DFT calculations towards finding suitable HBD and HBA for the formation of redox and radiation stable DES. • Phase diagram to depict the molar ratio of the constituents in the new DES. • Stabilization energy calculation of the predicted new DES. • Experimental synthesis and characterization of the DES predicted from computational calculations. • Radiation stability study and by-product analysis of the as synthesized DES under gamma irradiation. A redox and radiation stable DES has been predicted based on the fundamental electronic properties such as energy gap, ionization potential and electron affinity computed applying suitable density functionals in combination with 6-311++G(d,p) set of atomic basis functions. A selected series of optimized hydrogen bond donors (HBDs) and hydrogen bond acceptors (HBAs) has been screened using density functional theory (DFT). The long range corrected density functionals; ωB97XD and LC-BLYP are found to be cost effective and appropriate towards orbital energy gap calculations of such systems. Choline acetate and malonic acid appeared to be the most appropriate combination among those studied for formation of a chemical and radiation stable DES. Theoretically constructed phase diagram using Gibbs free energy minimization technique is applied to suggest the eutectic point and eutectic composition of the recommended DES. Stabilization energy calculations following electronic structure support the phase diagram data denoting formation of a stable eutectic with 1:2 stoichiometry. Density, viscosity, differential scanning calorimetry (DSC) and Fourier transform infra-red (FTIR) experiments have been carried out with this synthesized DES. Measured glass transition temperature (−75 °C) is observed to be lower than the theoretical eutectic point (−40 °C) indicating strong interspecies interaction within the medium. Experimental FTIR analysis gives an idea of the type and number of H-bonds present within the DES whereas computationally optimized 1:2 geometry identifies the specific H-bonds along with their distances. Irradiation of this new DES has been conducted at a constant dose of 100 kGy to observe the extent of degradation. UV–Vis and FTIR analysis does not denote generation of any new species within the liquid phase upon irradiation, however the yields of the gaseous by-products have been quantified by Gas Chromatography (GC).

WISTFUL: Whole‐Rock Interpretative Seismic Toolbox for Ultramafic Lithologies

AbstractTo quantitatively convert upper mantle seismic wave speeds measured into temperature, density, composition, and corresponding and uncertainty, we introduce the Whole‐rock Interpretative Seismic Toolbox For Ultramafic Lithologies (WISTFUL). WISTFUL is underpinned by a database of 4,485 ultramafic whole‐rock compositions, their calculated mineral modes, elastic moduli, and seismic wave speeds over a range of pressure (P) and temperature (T) (P = 0.5–6 GPa, T = 200–1,600°C) using the Gibbs free energy minimization routine Perple_X. These data are interpreted with a toolbox of MATLAB® functions, scripts, and three general user interfaces: WISTFUL_relations, which plots relationships between calculated parameters and/or composition; WISTFUL_geotherms, which calculates seismic wave speeds along geotherms; and WISTFUL_inversion, which inverts seismic wave speeds for best‐fit temperature, composition, and density. To evaluate our methodology and quantify the forward calculation error, we estimate two dominant sources of uncertainty: (a) the predicted mineral modes and compositions, and (b) the elastic properties and mixing equations. To constrain the first source of uncertainty, we compiled 122 well‐studied ultramafic xenoliths with known whole‐rock compositions, mineral modes, and estimated P‐T conditions. We compared the observed mineral modes with modes predicted using five different thermodynamic solid solution models. The Holland et al. (2018, https://doi.org/10.1093/petrology/egy048) solution models best reproduce phase assemblages (∼12 vol. % phase root‐mean‐square error [RMSE]) and estimated wave speeds. To assess the second source of uncertainty, we compared wave speed measurements of 40 ultramafic rocks with calculated wave speeds, finding excellent agreement (Vp RMSE = 0.11 km/s). WISTFUL easily analyzes seismic datasets, integrates into modeling, and acts as an educational tool.

Mechanisms for CH4/CO2 Swapping in Natural Sediments

Production of natural gas from hydrates involves multiple complex competing phase transitions, which are rarely analyzed thermodynamically. Hydrates in sediments are typically examined in terms of the local conditions of indirect thermodynamic variables, such as temperature and pressure. This can be very misleading in the evaluation of hydrate production methods. Any hydrate production method is governed by the thermodynamic laws. The combined first and second laws determine phase distributions in terms of Gibbs free energy minimum. This minimum is constrained by the first law of thermodynamics through enthalpy. The entropy changes during a specific action for hydrate production need to be sufficient to overcome the bottlenecks of breaking hydrogen bonds. In this work, I point out some important drawbacks of the pressure reduction method. The main focus is, however, on combined safe long-term storage of CO2 and release of CH4. It is demonstrated that CO2 hydrate is more stable than CH4 hydrate, in contrast to interpretations of pressure temperature diagrams, which are frequently used in discussions. Pressure and temperature are independent thermodynamic variables and merely determine at which conditions of these independent variables specific hydrates can exist. Gibbs free energy is the dependent thermodynamic variable that determines the level of phase stability. The first law determines the need for supply of thermodynamic driving forces for hydrate dissociation. Unlike in conventional analysis, it is pointed out that chemical work is also a driving force in the pressure reduction method. The release of heat from the formation of a new CO2 hydrate from injection gas is the primary source for CH4 hydrate dissociation in the CO2 method. Increased salinity due to consumption of pure water for new hydrate could potentially also assist in dissociation of in situ CH4 hydrate. Based on thermodynamic calculations, it is argued that this effect may not be significant.

Thermochemical recuperation by steam methane reforming as an efficient alternative to steam injection in the gas turbines

Improving the energy efficiency of gas turbines is an extremely important task of the world energy industry. This paper presents the results of thermodynamic analysis of a gas turbine unit with thermochemical exhaust heat recuperation by steam methane reforming (chemically recuperated gas turbine — CRGT). The thermochemical exhaust heat recuperation systems consist of a reformer, a steam–methane mixture preheater, and a steam generator. The main goal of this paper is comparing CRGT efficiency with the efficiency of a gas turbine unit with steam injection (STIG). To calculate the recuperated heat in a reformer, the thermodynamic analysis of steam methane reforming was performed via Gibbs free energy minimization method. Both thermodynamic cycle and reforming analysis were performed via Aspen HYSYS. The analysis was performed in the temperature range of working fluid at a turbine inlet (Tin) of 800–1300 °C and the steam-to-methane ratio of 1, 2, 3 (mol-to-mol). The results showed that thermochemical exhaust heat recuperation can be considered as an alternative to steam injection in gas turbines. The efficiency of CRGT is higher than the efficiency of STIG for the same steam-to-methane ratio. With increasing in Tin the efficiency of CRGT is increasing. The efficiency of STIG and CRGT at Tin=1300 °C for a steam-to-methane ratio of 3 is 37.4% and 47.3%, respectively.

A two-dimensional thermodynamic model based on Helmholtz free energy for wettability regulation of textured metal surfaces

To provide theoretical support for the wettability regulation of textured metal surfaces, a two-dimensional (2-D) thermodynamic model based on Helmholtz free energy is proposed to reveal the nature of the infiltration phenomenon. The relationship between the apparent contact angle and the free energy of the infiltration system is established. Micropyramid arrays (MPAs) with different pitches are textured on a high-phosphorus electroless nickel-phosphorus (Ni-P) alloy plating by ultraprecision machining for the verification of the theoretical model. The results show that the minimum free energy corresponds to the apparent contact angle of the water droplet when it is stable on the textured surface. MPA-textured surfaces with smaller pitches have a wider variation range of apparent contact angle and are expected to achieve better hydrophobicity. Periodic energy barriers created by the MPAs promote the free energy consumption. By employing ultrasonic assistance, secondary microstructures are generated on the inclined sidewalls of the micropyramids, thus enhancing the energy barrier effect. A maximum apparent contact angle of 124.4° is obtained for the MPA-textured surface machined with ultrasonic vibration when the pitch is 20 μm. The experimental apparent contact angle values are all within the theoretical range, indicating the feasibility of the theoretical model.

Synthesizes, characterization, molecular docking and in vitro bioactivity study of new compounds containing triple beta lactam rings

Penicillin bioactivity is continuously decreased due to the misuses by people which resulted in an antibiotics resistance. However, B-lactam ring is still an effect group the attack bacterial infection. In this study, we aimed to synthesize compounds with triple B-lactam rings and study in vitro their bioactivity. Schiff bases were followed to form two effective ligands involving triple B-lactam rings that were also docked against Penicillin binding protein to show their abilities through computational simulation studies. The synthesis of the compounds was mainly performed in two major steps: the first step was to form three Schiff bases of the compound named as BTTP compound and the second step to perform a cyclisation to produce triple B-lactam rings named as BTTCDP compounds. The prepared compounds were then confirmed using various routinely spectroscopic methods such as FTIR, NMR and CHN techniques. In vitro study showed (MIC in µg ml−1) ranged from (0.254 and 0.568), respectively for both ligands. However, no inhibition was shown against fungus which could be considered as specific antibacterial. The molecular docking study showed the pockets of the binding with minimum free energy about -8.9 and -9.0 kcal/mol. All to gather, the two novel compounds containing triple B-lactam rings showed an effective bioactivity that are promising for in vivo studies in future.

Genome-Wide Identification and Characterization of RNA/DNA Differences Associated with Fusarium graminearum Infection in Wheat.

RNA/DNA difference (RDD) is a post-transcriptional modification playing a crucial role in regulating diverse biological processes in eukaryotes. Although it has been extensively studied in plant chloroplast and mitochondria genomes, RDDs in plant nuclear genomes are not well studied at present. Here, we investigated the RDDs associated with fusarium head blight (FHB) through a novel method by comparing the RNA-seq data between Fusarium-infected and control samples of four wheat genotypes. A total of 187 high-confidence unique RDDs in 36 genes were identified, representing the first landscape of the FHB-responsive RDD in wheat. The majority (26) of these 36 RDD genes were correlated either positively or negatively with FHB levels. Effects of these RDDs on RNA and protein sequences have been identified, their editing frequency and the expression level of the corresponding genes provided, and the prediction of the effect on the minimum folding free energy of mRNA, miRNA binding, and colocation of RDDs with conserved domains presented. RDDs were predicted to induce modifications in the mRNA and protein structures of the corresponding genes. In two genes, TraesCS1B02G294300 and TraesCS3A02G263900, editing was predicted to enhance their affinity with tae-miR9661-5p and tae-miR9664-3p, respectively. To our knowledge, this study is the first report of the association between RDD and FHB in wheat; this will contribute to a better understanding of the molecular basis underlying FHB resistance, and potentially lead to novel strategies to improve wheat FHB resistance through epigenetic methods.

Melts and glasses of the K2O-GeO2 system: Physicochemical modelling with correction based on the results of Raman spectroscopy

A Gibbs free energy minimization approach realized in “Selector-C” software is used to study germanate melts and glasses of the K2O–GeO2 system. A database of the thermodynamic properties of structural units of germanate melts was compiled by according to the results of high-temperature Raman spectroscopy for the correction of physicochemical models. Three mechanisms for the introduction of potassium cations into the germanium-oxygen network are identified along with the effect of composition and temperature on these mechanisms. It is shown that the germanate anomaly maximum shifts with increasing temperature towards low-alkaline compositions due to the appearance of non-bridging oxygen atoms in the system.

Novel Design of RNA Aptamers as Cancer Inhibitors and Diagnosis Targeting the Tyrosine Kinase Domain of the NT-3 Growth Factor Receptor Using a Computational Sequence-Based Approach.

Aptamers, the nucleic acid analogs of antibodies, bind to their target molecules with remarkable specificity and sensitivity, making them promising diagnostic and therapeutic tools. The systematic evolution of ligands by exponential enrichment (SELEX) is time-consuming and expensive. However, regardless of those issues, it is the most used in vitro method for selecting aptamers. Therefore, recent studies have used computational approaches to reduce the time and cost associated with the synthesis and selection of aptamers. In an effort to present the potential of computational techniques in aptamer selection, a simple sequence-based method was used to design a 69-nucleotide long aptamer (mod_09) with a relatively stable structure (with a minimum free energy of −32.2 kcal/mol) and investigate its binding properties to the tyrosine kinase domain of the NT-3 growth factor receptor, for the first time, by employing computational modeling and docking tools.

Linear-Time Algorithms for RNA Structure Prediction.

RNA secondary structure prediction is widely used to understand RNA function. Existing dynamic programming-based algorithms, both the classical minimum free energy (MFE) methods and partition function methods, suffer from a major limitation: their runtimes scale cubically with the RNA length, and this slowness limits their use in genome-wide applications. Inspired by incremental parsing for context-free grammars in computational linguistics, we designed linear-time heuristic algorithms, LinearFold and LinearPartition, to approximate the MFE structure, partition function and base pairing probabilities. These programs are orders of magnitude faster than Vienna RNAfold and CONTRAfold on long sequences. More interestingly, LinearFold and LinearPartition lead to more accurate predictions on the longest sequence families for which the structures are well established (16S and 23S Ribosomal RNAs), as well as improved accuracies for long-range base pairs (500 + nucleotides apart). This chapter provides protocols for using LinearFold and LinearPartition for secondary structure prediction.

Free energy calculation and ghost force correction for hot‐QC

A new efficient variant of hot-QC, the finite temperature version of the quasicontinuum (QC) method, is presented. In the original formulation of hot-QC, a dynamically evolving atomistic region is coupled with either a dynamic (hot-QC-dynamic) or a static (hot-QC-static) continuum region. In the current work, a free energy minimization method is employed in which atom positions in both the atomistic and continuum regions always occupy equilibrium positions. The effect of ghost forces at the interface of the atomistic and continuum regions is discussed for all three variants of hot-QC using two examples: a perfect cubic crystal and a Lomer dislocation dipole. Errors due to ghost forces and due to mesh entropy are considered and the efficacy of their correction terms are evaluated. It is shown that the proposed free energy minimization method has comparable accuracy to the other methods with significantly higher efficiency.

Liquid organic hydrogen carriers (LOHCs) in the thermochemical waste heat recuperation systems: The energy and mass balances

This paper is presented a concept of thermochemical recuperation of waste heat based on hydrogen extraction from liquid organic hydrogen carriers (LOHC), on the example of methylcyclohexane-toluene system. The advantages of this concept is described, for example, a possibility to use a moderate low temperature of waste heat for generation high-exergy “green” hydrogen fuel. To understand the effect of operating parameters on the energy and mass balance, the thermodynamic analysis was performed. The chemical system for hydrogen generation was analyzed via Gibbs free energy minimization method. The thermodynamic analysis was conducted under various operating conditions: temperature of 100–400 °C, pressure of 1–4 bar. Aspen HYSYS software was used for the energy and mass conservation analysis. Sankey diagram for the energy flows is depicted. The results showed that the maximum energy efficiency the thermochemical waste heat recuperation system have in the temperature range above 300–350 °C. In this temperature range, the effect of pressure on the energy balance is negligible and it is recommended for the thermochemical recuperation system to use LOHC with a pressure of 1.5–2 bar. Based on the analysis, it was concluded that the temperature potential of waste heat for about 300–350 °C is enough for the investigated concept. An analysis of a mass balance showed that the decreasing in condensation temperature leads to a significant increasing in the share of condensed toluene from toluene-hydrogen mixture after a reactor. If temperature of a hydrogen-toluene mixture of 20 °C at pressure above 2 bar about 96% of toluene can be condensed after the first condenser.

Particle-hole symmetry broken solutions in graphene nanoribbons: A multi-orbital, mean-field perspective

Mean-field theories have since long predicted edge magnetism in graphene nanoribbons, where the order parameter is given by the local magnetization. However, signatures of edge magnetism appears elusive in the experiments, suggesting another class of solutions. We employ a self-consistent mean field approximation within a multi-orbital tight-binding model and obtain particle-hole symmetry broken solutions, where the local filling plays the role of the order parameter. Unlike the magnetic edge solutions, these are topologically non-trivial and show zero local magnetization. A small and a large doping regime are studied, and a free energy minimum for finite hole doping is encountered, which may serve as an explanation for the absence of experimental evidence for magnetic edge states in zigzag graphene nanoribbons. The electronic interaction may increase the finite \(d\)-orbital occupation, which leads to a change of the effective Coulomb interaction of the dominant \(p_z\)-orbitals. Our findings indicate that the non-magnetic solution for finite hole doping becomes energetically preferred, compared to the magnetic phases at half-filling, once thermal fluctuations or unintentional doping from the substrate are considered. This result persists even in the presence of the \(d\)-orbitals and the Coulomb interaction therein.

OFDM-Based Massive Grant-Free Transmission Over Frequency-Selective Fading Channels

In massive grant-free transmission, joint user activity detection (UAD) and channel estimation (CE) is essential for data recovery at the receiver, which has been extensively researched in frequency-flat fading scenarios. However, in practical orthogonal frequency division multiplexing (OFDM)-based systems, frequency-selective fading (FSF) leads to a significant increase in the number of channel coefficients to be estimated, imposing new challenges for the design of joint UAD and CE algorithms. Therefore, this paper investigates joint UAD and CE for OFDM-based massive grant-free transmission over FSF channels. Firstly, by employing the discrete cosine transform (DCT), the joint estimation problem is formulated as the compressed sensing (CS) problem with the reduced dimension of the DCT-domain channel response vector. Then, based on the low-dimension sparse channel model, we develop a hybrid message passing (HMP) algorithm under the constrained Bethe free energy (BFE) minimization framework to achieve efficient joint UAD and CE. To deal with the lack of the DCT-domain prior information in practical scenarios, we parameterize it as the Cauchy distribution or the Laplacian distribution and learn their parameters by the proposed HMP algorithm. Numerical results confirm the superior joint UAD and CE performance of the proposed algorithm over FSF channels.