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1

An inequality involving the gamma and digamma functions

Qi F., Guo B.-N.

Journal of Applied Analysis

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2016

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Vol. 22, nr 1

49--54

EN

In the paper, the authors establish an inequality involving the gamma and digamma functions and apply it to prove the negativity and monotonicity of a function involving the gamma and digamma functions.

2

Hermite–Hadamard type inequalities for extended s-convex functions on the co-ordinates in a rectangle

Xi B.-Y, Hua J., Qi F.

Journal of Applied Analysis

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2014

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Vol. 20, nr 1

29--39

EN

In the paper, the authors obtain some Hermite–Hadamard type integral inequalities for extended s-convex functions on the co-ordinates in a rectangle.

3

A note on the modified q-Genocchi numbers and polynomials with weight (α, β)

Araci S., Acikgoz M, Qi F., Jolany H

Fasciculi Mathematici

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2013

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Nr 51

21--32

EN

The purpose of this paper concerns to establish modified q-Genocchi numbers and polynomials with weight (α,β). In this paper we investigate special generalized q-Genocchi polynomials and we apply the method of generating function, which are exploited to derive further classes of q-Genocchi polynomials and develop q-Genocchi numbers and polynomials. By using the Laplace-Mellin transformation integral, we define q-Zeta function with weight (α,β) and by presenting a link between q-Zeta function with weight (α,β) and q-Genocchi numbers with weight (α,β) we obtain an interpolation formula for the q-Genocchi numbers and polynomials with weight (α,β). Also we derive distribution formula (Multiplication Theorem) and Witt’s type formula for modified q-Genocchi numbers and polynomials with weight (α,β) which yields a deeper insight into the effectiveness of this type of generalizations for q-Genocchi numbers and polynomials. Our new generating function possess a number of interesting properties which we state in this paper.

4

Fluoroimmunoassay of human thymidine kinase 1 using magnetic nanoparticles

Zhong S., Qi F., Xu M.

Chemia Analityczna

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2009

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Vol. 54, No. 5

827-839

EN

Human thymidine kinase 1 (hTKl) is a new tumor biomarker in serum. We developeda fluorescence enhancing immunoassay of hTKl, using magnetic nanoparticles (MNPs) j as the biomolecular immobilization mediator. The horseradish peroxidase labeled hTK 1 monoclonal antibody (HRP-Ab) competitively reacts with free hTKl in the detection solution and the hTKl bound to MNPs. After separation in a magnetic field, HRP-Ab bound to MNPs catalyzes oxidization of 3-(p-hydroxyphenyl)-propionic acid (HPPA) to form a iluorescent dimer product, 2,2'-dihydroxybiphenyl-5,5'-dipropionic acid, which leads to an enhanced fluorescent signal at 407 nm. The enhancement is inversely proportional to the hTKl concentration. The hTKl can be determined in the range 0.01-1 ng mL-1 and the detection limit reaches 0.008 ng mL-1. The hTKl concentrations in serum samples of several live cancer and healthy patients were correctly evaluated by the developed fluoroimmunoassay. This new immunoassay system is simple, fast, and sensitive for the detection of hTKl, offering a promising alternative method that can be extended to detect other biomarker molecules. It may have broad potential applications in clinical diagnosis.

PL

Ludzka tymidynowa kinaza 1 (hTK 1) jest nowym bioznacznikiem raka w surowicy. Opracowano metodę oznaczania (immunoassay) hTK l opartą na wzmocnieniu fluorescencji z wykorzystaniem magnetycznych nanocząsteczek (MNPs) jako mediatorów biomoleku-larnego unieruchomienia. Monoklonalne antyciało hTK l znakowane peroksydazą chrzanową (HRP-Ab) reaguje zarówno z wolnym hTK l jak i związanym z MNPs. Po wydzieleniu .. w polu magnetycznym, HRP-Ab związane z MNPs katalizuje utlenianie 3-(p-hydroksy-fenolo)-propionowego kwasu (HPPA) do fluoryzującego dimeru 2,2'-dihydroksybifenylu--5,5'-dipropionowego kwasu (HPPA) co prowadzi do zwiększenia fluorescencji w 407 nm. Wzmocnienie fluorescencji było odwrotnie proporcjonalne do stężenia hTK 1. Przedział oznaczania hTK l wynosił od 0,01 do l ngmL-1, a granica wykrywalności 0.008 ngml.-1. Opracowaną metodę zastosowano do oznaczania hTK l w próbkach surowicy zdrowych i chorych na raka pacjentów. Opracowana metoda jest prosta, szybka i czuła. Stanowi obiecującą alternatywę dla innych metod. Może być rozszerzona na inne bioznaczniki.

5

Two stage based shadow removal from a single image

Xu L., Qi F.

Image Processing & Communications

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2006

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Vol. 11, no 2

37-49

EN

Shadow detection and removal in real scene images is always a challenging but yet intriguing problem. In contrast with the rapidly expanding and continuous interests on this area, it is always hard to provide a robust system to eliminate shadows in static images. This paper aimed to give a comprehensive method to remove shadows based on a two stage approach: vague shadow estimation and hard shadow estimation. First, classification is applied to the derivatives of the input image to separate the vague shadows. Then, color invariant is exploited to distinguish the hard shadow edges from the material edges. Next, a robust shadow edge mask was obtained based on the combination of the vague and hard shadow mask. By using image reintegrating approaches, we derived the shadow estimation form the mask and obtained the shadow-free reflectance image by subtracting shadows from the original image. Experimental results showed that our method can robustly remove both vague and hard shadows appearing in the real scene images.