Fractional-order Differentiation of the Gaussian Function for Processing Overlapped Peaks

Li, Yuanlu

doi:10.2116/analsci.25.1339

Cited by 8 publications

(3 citation statements)

References 8 publications

(3 reference statements)

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“…Various electrochemical processes, such as redox reactions with reduced and oxidised species present in the same phase [6,14,[21][22][23][24][25][26][27][28][29][30][31][32][33][34][35], adsorption on surfaces of electrodes [36][37][38], electrodeposition [39][40][41][42][43][44][45][46][47][48] or electrodissolution [49][50][51] were analysed by means of semi-differentiation or semi-integration. The most extensive mathematical treatment related to these methods was applied to the electrochemical reactions were both oxidised and reduced form are soluble in the electrolyte phase and their transport proceeds under conditions of semi-infinite linear diffusion [4].…”

Section: Introductionmentioning

confidence: 99%

Semi-differential analysis of irreversible voltammetric peaks

Grdeń

2016

J Solid State Electrochem

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Voltammetric peaks obtained by simulation of electrochemical reactions under conditions of linear semi-infinite diffusion with an irreversible electron transfer process are analysed using a semi-differentiation procedure. Obtained semi-derivative peaks, separated or overlapped, are fitted with appropriate mathematical functions. The functions used for data fitting include a function describing symmetrical peaks, proposed by several authors for fitting irreversible semiderivative peaks, and two alternative functions that express asymmetric shape of the irreversible semi-derivative signals. When applied to the overlapped irreversible semi-derivative peaks, the latter two functions allow calculating certain electrochemical parameters with a better accuracy as compared with the function derived for the symmetrical peaks.

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Section: Introductionmentioning

confidence: 99%

Semi-differential analysis of irreversible voltammetric peaks

Grdeń

2016

J Solid State Electrochem

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“…The variants have thermal denaturation midpoint temperature (T 50 ) values of 54.6 and 51.9 °C, respectively, as measured using 10 min incubation periods (Figure S2). 17 To test the potential of Mn-BM3h to act as a ligand-dependent responsive contrast agent, we examined its relaxivity change in the presence of arachidonic acid (AA), a natural ligand shown to decrease r 1 by 66% upon binding to native BM3h. 6 While optical titration (Figure S3) indicated that AA could bind to Mn-BM3h with a dissociation constant (K d ) of 0.7 ( 0.5 μM, we found that the r 1 of wild-type Mn-BM3h changed by only 1.1% upon AA binding.…”

mentioning

confidence: 99%

Metal-Substituted Protein MRI Contrast Agents Engineered for Enhanced Relaxivity and Ligand Sensitivity

Lelyveld¹,

Brustad

Arnold

et al. 2010

J. Am. Chem. Soc.

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Engineered metalloproteins constitute a flexible new class of analyte-sensitive molecular imaging agents detectable by magnetic resonance imaging (MRI), but their contrast effects are generally weaker than synthetic agents. To augment the proton relaxivity of agents derived from the heme domain of cytochrome P450 BM3 (BM3h), we formed manganese(III)-containing proteins that have higher electron spin than their native ferric iron counterparts. Metal substitution was achieved by coexpressing BM3h variants with the bacterial heme transporter ChuA in Escherichia coli and supplementing the growth medium with Mn3+-protoporphyrin IX. Manganic BM3h variants exhibited up to 2.6-fold higher T1 relaxivities relative to native BM3h at 4.7 T. Application of ChuA-mediated porphyrin substitution to a collection of thermostable chimeric P450 domains resulted in a stable, high-relaxivity BM3h derivative displaying a 63% relaxivity change upon binding of arachidonic acid, a natural ligand for the P450 enzyme and an important component of biological signaling pathways. This work demonstrates that protein-based MRI sensors with robust ligand sensitivity may be created with ease by including metal substitution among the toolkit of methods available to the protein engineer.

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“…Image was one kind of signal, its signal processing with fractional differential would be favorable to enhance its high frequency edge, and also reserve its low frequency texture information. [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

An Improved Fractional Differential Algorithm and Noise Immunity Analysis

Liu

Hou

2011

AMM

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Texture and edge information are equally important to identification of most of natural images. To the problem of the existing integer order differential operators can’t extract texture information form the images, this study developed a fractional differential algorithm, which can extract texture and marginal information simultaneously, based on settlement of the drift problem of fractional differential operator. Experimental results showed that our algorithm can not only extract texture information but also extract more edge information than the traditional algorithms. And to the image with Gauss noise, our algorithm also have noise immunity.

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Fractional-order Differentiation of the Gaussian Function for Processing Overlapped Peaks

Cited by 8 publications

References 8 publications

Semi-differential analysis of irreversible voltammetric peaks

Semi-differential analysis of irreversible voltammetric peaks

Metal-Substituted Protein MRI Contrast Agents Engineered for Enhanced Relaxivity and Ligand Sensitivity

An Improved Fractional Differential Algorithm and Noise Immunity Analysis

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