The $$ {\left( {L^{p} ,\dot{F}^{{\beta ,\infty }}_{p} } \right)} $$ –Boundedness of Commutators of Multipliers

Zhang, Pu; Chen, Jie Cheng

doi:10.1007/s10114-004-0457-5

Cited by 19 publications

(17 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since TiO 2 materials have optical transparency, good biocompatibility, environmental safety and relatively good electrical conductivity [10], they are widely used to immobilize proteins or enzymes on electrode surface for either mechanistic study of the proteins or fabricating electrochemical biosensors. Titania occurs in various structural types and can be engineered into many different forms such as nanoparticles [11,12], sol-gels [13], nanosheet [14] and nanotubes [15,16].…”

Section: Introductionmentioning

confidence: 99%

A Glucose Biosensor Based on Immobilization of Glucose Oxidase into 3D Macroporous TiO₂

et al. 2008

View full text Add to dashboard Cite

3D macroporous TiO 2 inverse opals have been derived from a sol-gel procedure using polystyrene colloidal crystals as templates. EDS and SEM showed a face-centered cubic (FCC) structure TiO 2 inverse opal was obtained. Glucose oxidase (GOx) was successfully immobilized on the surface of indium-tin oxide (ITO) electrode modified by TiO 2 inverse opal (TiO 2(IO) ). Electrochemical properties of GOx/TiO 2(IO) /ITO electrode were characterized by using the three electrodes system. The result of cyclic voltammetry showed that a couple of stable and well-defined redox peaks for the direct electron transfer of GOx in absence of glucose, and the redox peak height enhanced in presence of 0.1 mM glucose. Compare with the ordinary structured GOx/TiO 2 /ITO electrode, inverse opal structured GOx/ TiO 2(IO) /ITO electrode has a better respond to the glucose concentration change. Under optimized experimental conditions of solution pH 6.8 and detection potential at 0.30 V versus saturated calomel electrode (SCE), amperometric measurements were performed. The sensitivity and the detection limit of glucose detection was 151 mA cm À2 mM À1 and 0.02 mM at a signal-to-noise ratio of 3, respectively. The good response was due to the good biocompatibility of TiO 2 and the large effective surface of the three-dimensionally ordered macroporous structure.

show abstract

Section: Introductionmentioning

confidence: 99%

A Glucose Biosensor Based on Immobilization of Glucose Oxidase into 3D Macroporous TiO₂

et al. 2008

View full text Add to dashboard Cite

show abstract

“…[22][23]29] Yet, only a few studies focused on the effect of the shape and size of the NPs on DET. [31][32][33][39][40][41][42] For example, Willner and co-workers have shown that GOx can pump electrons directly to a confined metal particle and charge it. [39] We demonstrated [34] that the enzyme CDH catalyses the reduction of AuCl 4 À by DET from lactose in the presence of a catalytic metal surface, such as Pd, or AuNPs.…”

Section: Resultsmentioning

confidence: 99%

“…Others, such as Lioubashevski and Willner, [39] studied the mechanistic aspects of enzyme-NP DET. [39][40][41][42] Specifically, they studied ET between GOx and AuNPs of 1.4 nm in diameter and found that the enzyme charged the AuNPs with electrons with a rate constant of ca. 5000 s À 1 .…”

Section: Introductionmentioning

confidence: 99%

Direct Electron Transfer between Glucose Oxidase and Gold Nanoparticles; When Size Matters

Malel

Mandler

2018

ChemElectroChem

View full text Add to dashboard Cite

We studied the direct electron transfer (DET) between glucose and electrogenerated AuCl4− catalysed by glucose oxidase (GOx) and gold nanoparticles (AuNPs) by scanning electrochemical microscopy (SECM). Well‐defined AuNPs were prepared and attached onto an insulating surface. Studying the current transients of a gold microelectrode held within a few microns from the surface revealed that the AuNPs interacted with the GOx and were crucial for the DET from the glucose. We investigated very carefully the effect of pH and the size of the AuNPs on electron transfer. AuNPs of 16, 40 and 80 nm diameter were applied. The kinetics of electron transfer was analysed by the Michael‐Menten kinetic mechanism. Interestingly, we found that the fastest DET was exhibited by the 40 nm AuNPs at pH 3 and 5. At higher pH, electron transfer was better catalysed by the 80 nm AuNPs. This was rationalized by the effect of the pH on the enzymatic structure and the charge of the AuNPs.

show abstract

“…[ 3 ] Eshelby gave an analysis of such an interface strengthening ability caused by the GBs as [ 4 ]

k = M {false(4 τ^{*} μ^{*} b / ω π false)}^{1 / 2}

where M is the Taylor factor, τ ∗ is the interface barrier strength (IBS), μ ∗ is the shear modulus of grain or phase on one side of the interface, [ 5 ] b is the magnitude of the Burgers vector, and ω is a constant. Therefore, k is directly connected to the τ ∗ of GBs or other interfaces, [ 6,7 ] and different kinds of interfaces have different τ ∗ and k values. [ 8 ] Obviously, in addition to the grain size effect in the H – P relationship, the interface strengthening ability ( k ) also has an inseparable effect on the yield stress of materials.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Evaluation of Strengthening Ability of Phase Interfaces in Lamellar Ti Alloys

et al. 2022

View full text Add to dashboard Cite

show abstract

The $$ {\left( {L^{p} ,\dot{F}^{{\beta ,\infty }}_{p} } \right)} $$ –Boundedness of Commutators of Multipliers

Cited by 19 publications

References 9 publications

A Glucose Biosensor Based on Immobilization of Glucose Oxidase into 3D Macroporous TiO₂

A Glucose Biosensor Based on Immobilization of Glucose Oxidase into 3D Macroporous TiO₂

Direct Electron Transfer between Glucose Oxidase and Gold Nanoparticles; When Size Matters

Theoretical Evaluation of Strengthening Ability of Phase Interfaces in Lamellar Ti Alloys

Contact Info

Product

Resources

About

The $$ {\left( {L^{p} ,\dot{F}^{{\beta ,\infty }}_{p} } \right)} $$ –Boundedness of Commutators of Multipliers

Cited by 19 publications

References 9 publications

A Glucose Biosensor Based on Immobilization of Glucose Oxidase into 3D Macroporous TiO2

A Glucose Biosensor Based on Immobilization of Glucose Oxidase into 3D Macroporous TiO2

Direct Electron Transfer between Glucose Oxidase and Gold Nanoparticles; When Size Matters

Theoretical Evaluation of Strengthening Ability of Phase Interfaces in Lamellar Ti Alloys

Contact Info

Product

Resources

About

A Glucose Biosensor Based on Immobilization of Glucose Oxidase into 3D Macroporous TiO₂

A Glucose Biosensor Based on Immobilization of Glucose Oxidase into 3D Macroporous TiO₂