On the Binomial Sums of k-Fibonacci and k -Lucas sequences

Yılmaz, Nazmiye; Taşkara, Necati; Uslu, Kemal; Yazlık, Yasin

doi:10.1063/1.3636734

Cited by 6 publications

(6 citation statements)

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“…However, it is not widely used in small molecule imprinting because it is hard to control the force applied, as quite often the polymerf ilm used would stick to the platform. [35] In our case, the microorganism itselfi sanano-stamping device without the need for the applications of an external force. In brief, the dengue virus represents am edium for restraining BPAd uring the self-assembly process of monomers to form both BPAa nd dengue recognition sites on MCIPs.…”

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confidence: 85%

Small‐Molecule Dengue Virus Co‐imprinting and Its Application as an Electrochemical Sensor

et al. 2017

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Polymers can be synthesized to recognize small molecules. This is achieved by introducing the target molecule during monomer self‐assembly, where they can be incorporated during cross‐linking polymerization. Following additional pre‐processing, the material obtained can then be applied as a sensing layer for these molecules in many applications. The sensitivity of the polymers depends on the “active sites” imprinted on the surface. Increasing the number of active sites on the polymers surface can be achieved by using nanoparticles as a platform to support and concentrate the molecules for imprinting. In this work, we report the first use of dengue virus as a supporting nanoparticle to make for a more effective polymer composite sensor for the detection of bisphenol A (BPA), which is an environmental contaminant. The dengue virus has a nanoparticle size of around 100 nm and its surface provides regions where lipids and hydrophobic compounds can bind, making it an ideal support. The mixing of BPA with dengue prior to monomer self‐assembly led to imprinted polymer surfaces with much higher density BPA binding sites and a limit of detection of 0.1 pm. We demonstrate that a BPA–dengue co‐imprinting polymer composite sensor shows a very high sensitivity for BPA, but with lower production costs and technical requirements than other comparable methods.

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confidence: 85%

Small‐Molecule Dengue Virus Co‐imprinting and Its Application as an Electrochemical Sensor

et al. 2017

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“…In [8], authors apply several transforms to the k-Fibonacci sequences and deduce some properties between them. Also, in [3] authors establish some new properties of k-Fibonacci and k-Lucas numbers in terms of binomial sums. Falcon and Plaza studied 3-dimensional k-Fibonacci spirals with a geometric point of view in [7].…”

Section: Introductionmentioning

confidence: 99%

Binomial Transforms Of The K-lucas Sequences And Its Properties

Bhadouria¹,

Jhala²,

Singh³

2014

J. Math. Computer Sci.

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“…The -Fibonacci numbers which are of recent origin were found by studying the recursive application of two geometrical transformations used in the well-known fourtriangle longest-edge partition [3], serving as an example between geometry and numbers. Also in [8], authors established some new properties of -Fibonacci numbers and -Lucas numbers in terms of binomial sums. Falcón and Plaza [9] studied 3-dimensional -Fibonacci spirals considering geometric point of view.…”

Section: Introductionmentioning

confidence: 99%