where q : I → R, pi : I → R, and ki : D → R (i = 0,1) (with D := {(t,s) : 0 ≤ s ≤ t ≤ T}) are given functions and are assumed to be (at least) continuous in the respective domains. For more details of these equations, many other interesting methods for the approximated solution and stability procedures are available in earlier literatures [1, 3, 4, 5, 6, 7, 8, 11]. The above equation is usually...

For two given graphs G1 and G2, the Ramseynumber R(G1,G2) is the smallest integer n such that for anygraph G of order n, either $G$ contains G1 or the complementof G contains G2. Let Tn denote a tree of order n andWm a wheel of order m+1. To the best of our knowledge, only R(Tn,Wm) with small wheels are known.In this paper, we show that R(Tn,Wm)=3n-2 for odd m with n>756m^{10}.

Purified troponin (Tn), the complex of the Ca-2+ binding subunit (TnC), the inhibitory subunit (TnI), and the tropomyosin binding subunit (TnT) binds 4 mol of Ca-2+ per mol. Two sites bind Ca-2+ with a binding constant of 5 times 10-8 M- minus 1, and two with a binding constant of 5 times 10-6 M- minus 1. In the presence of 2 mM MgCl2 the binding to four sites can be characterized with a single...

ripening is considered as the most important biochemical event in the cheese technology. presence of whey proteins in uf-cheese leads to such abnormal behaviors and characteristics as slow ripening, weak flavor, and soft and undesirable texture. since temperature and time are the most important environmental factors in cheese ripening, the aim of the present study was chosen to investigate the ...

Advances in wastewater treatment over the past 150 years have improved public health and local water quality. Recently however, society has begun to consider the wider environmental implications of these improvements. This paper uses life cycle assessment to quantitatively compare the environmental costs and benefits of different wastewater treatment technologies and standards. It is demonstrat...

Astrocytes in primary culture can be classified morphologically into two types: fibrous astrocytes and protoplasmic astrocytes. To examine the role of tenascin-C (TN) in an in vitro astrocyte culture, primary cultures of astrocytes prepared from the brains of wild-type and of TN-deficient embryonic mice were analyzed. In primary culture of astrocytes from TN-deficient mice fibrous astrocytes di...