On the exponential Diophantine equation $$x^{2}+2^{a}p^{b}=y^{n}$$ x 2 + 2 a p b = y n

Zhu, Honglin; Mao-hua, LE; Soydan, Gökhan; Togbé, Alain

doi:10.1007/s10998-014-0073-9

Cited by 29 publications

(40 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Cyclic voltammetry and square wave stripping voltammetry of the metal silver formed on AuNPs 0.1 pg mL À1 (5.4 10 À16 ) 0.1 pg mL À1 -10 ng mL À1 (5.4 10 À16 -5.4 10 À11 ) not shown 4 % serum 70 [29] Sandwich immunoassay on magnetic beads, label: alkaline phosphatase [31] [a] Papers with no control experiments on specificity of protein binding and insufficient LODs were not considered. [b] Reported concentrations are recalculated in molar ones using 185 kDa MW of HER-2/neu protein complex; it may be incorrect, as, in most of the papers, apparently an extracellular domain was used for analysis, which MW is ca.…”

Section: Electrodementioning

confidence: 99%

Specific Picomolar Detection of a Breast Cancer Biomarker HER‐2/neu Protein in Serum: Electrocatalytically Amplified Electroanalysis by the Aptamer/PEG‐Modified Electrode

2017

View full text Add to dashboard Cite

Specific and sensitive electroanalysis of blood‐circulating protein cancer biomarkers is often complicated by interference from serum proteins nonspecifically adsorbing at the biosensing interface and masking specific reactions of interest. Here, we have developed an electrocatalytically amplified assay for specific and sensitive analysis of human epidermal growth factor receptor‐2 (HER‐2/neu, a protein cancer biomarker over‐expressed in breast cancers) that allows us to avoid both the interference from bovine serum albumin (BSA) and electrocatalytic amplification of the signal stemming from the specific aptamer−HER‐2/neu binding. A HER‐2/neu‐specific thiolated aptamer sequence was co‐adsorbed on gold together with a C11 alkanethiol bearing two ethylene glycol (EG)2 head groups that prevented non‐specific adsorption of BSA. On such layers, electrochemical reduction of a ferricyanide redox indicator is inhibited and is shown to be electrocatalyzed by methylene blue electrostatically interacting with negatively charged HER‐2/neu. The electrocatalytic signal increased upon HER‐2/neu binding to the aptamer, which allowed 10−12–10−8 M HER‐2/neu detection in 1 % serum, being practically applicable for clinical testing. The developed strategy can be considered as general and applicable for the electroanalysis of other blood‐circulating proteins once the electrostatic compatibility between the protein and redox probe is established.

show abstract

Section: Electrodementioning

confidence: 99%

Specific Picomolar Detection of a Breast Cancer Biomarker HER‐2/neu Protein in Serum: Electrocatalytically Amplified Electroanalysis by the Aptamer/PEG‐Modified Electrode

2017

View full text Add to dashboard Cite

show abstract

“…Other interesting works of camouflage could be also checked in refs. [73,[98][99][100][101][102][103][104].…”

Section: Transformation Thermodynamicsmentioning

confidence: 99%

A Brief Review on Thermal Metamaterials for Cloaking and Heat Flux Manipulation

2019

View full text Add to dashboard Cite

Progress in material science has allowed the control of different physical fields in a manner that would be unachievable with ordinary materials. The development of engineered materials (the so‐called metamaterials) to control the conductive heat flux has revolutionized the manner of manipulating thermal energy and allowed the possibility of guiding the heat flux in ways difficult to accept for human intuition. Herein, a brief review regarding the recent progress and developments in thermal metamaterials conceived to perform several conductive heat flux manipulation tasks is provided. Deeply theoretical discussions concerning design methodologies are left a side, and the focus is made on the design and manufacturing feasibility of metamaterials for thermal cloaking and camouflage, heat flux concentration, and inversion, among other applications that lead to the next generation of thermal devices.

show abstract

“…The redox peaks are obtained even at a maximum scan rate of 200 mv/s, indicating faster redox kinetics. [34] The decrease in specific capacitance with an increase in scan rates is attributed to less utilization of active materials. With increasing scan rates, the positions of anodic peaks shift to a more anodic direction, which could be attributed to the internal resistance of the electrode, which can be further, corroborated with electrochemical impedance spectroscopy (EIS) spectra.…”

Section: Three Electrode Systemmentioning

confidence: 99%

Exploring Battery‐Type ZnO/ZnFe₂O₄ Spheres‐3D Graphene Electrodes for Supercapacitor Applications: Advantage of Yolk−Shell over Solid Structures

2019

View full text Add to dashboard Cite

Recently, a ZnO/ZnFe2O4 composite has been reported to be a promising material for energy storage, owing to its large specific capacity and good redox activity. However, due to the inability to accommodate its strong volumetric variations during operation, it fails to retain its capacitance, which remains as a significant hitch. Herein, we present our attempt towards solving this through a binder‐free electrode design comprising a porous yolk−shell ZnO/ZnFe2O4 composite matrixed inside a 3D network of graphene, which, in turn, is grown on Ni foam. The design exhibits a four‐fold increase in its specific capacitance, yielding 1334 F g−1 (specific capacity of 370.5 mAh g−1) at a current density of 0.5 A g−1 in comparison to that of the ZnO/ZnFe2O4 electrodes (309 F g−1 (85.8 mAh g−1) at 0.5 A g−1) comprising solid metal oxide spheres. The major advantage of the design is the well‐defined yolk−shell architecture that provides free space for volume expansion during long cycling processes and channels for ionic transportation; whereas, the conductive 3D graphene network and porous Ni foam facilitate electronic conduction. The availability of free space in yolk−shell sphere electrodes facilitates the capacitance retention of up to 80 % beyond 5000 cycles at a current density of 1 A g−1, which is in contrast to the capacitance retained by the solid spheres of only approximately 60 %. These results directly demonstrate the significant consequence of the yolk−shell architecture‐based binder‐free design and its promising potential in high‐performing supercapacitors and batteries.

show abstract

On the exponential Diophantine equation $$x^{2}+2^{a}p^{b}=y^{n}$$ x 2 + 2 a p b = y n

Cited by 29 publications

References 16 publications

Specific Picomolar Detection of a Breast Cancer Biomarker HER‐2/neu Protein in Serum: Electrocatalytically Amplified Electroanalysis by the Aptamer/PEG‐Modified Electrode

Specific Picomolar Detection of a Breast Cancer Biomarker HER‐2/neu Protein in Serum: Electrocatalytically Amplified Electroanalysis by the Aptamer/PEG‐Modified Electrode

A Brief Review on Thermal Metamaterials for Cloaking and Heat Flux Manipulation

Exploring Battery‐Type ZnO/ZnFe₂O₄ Spheres‐3D Graphene Electrodes for Supercapacitor Applications: Advantage of Yolk−Shell over Solid Structures

Contact Info

Product

Resources

About

On the exponential Diophantine equation $$x^{2}+2^{a}p^{b}=y^{n}$$ x 2 + 2 a p b = y n

Cited by 29 publications

References 16 publications

Specific Picomolar Detection of a Breast Cancer Biomarker HER‐2/neu Protein in Serum: Electrocatalytically Amplified Electroanalysis by the Aptamer/PEG‐Modified Electrode

Specific Picomolar Detection of a Breast Cancer Biomarker HER‐2/neu Protein in Serum: Electrocatalytically Amplified Electroanalysis by the Aptamer/PEG‐Modified Electrode

A Brief Review on Thermal Metamaterials for Cloaking and Heat Flux Manipulation

Exploring Battery‐Type ZnO/ZnFe2O4 Spheres‐3D Graphene Electrodes for Supercapacitor Applications: Advantage of Yolk−Shell over Solid Structures

Contact Info

Product

Resources

About

Exploring Battery‐Type ZnO/ZnFe₂O₄ Spheres‐3D Graphene Electrodes for Supercapacitor Applications: Advantage of Yolk−Shell over Solid Structures