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Beta-glucan. Cellulose is an example of a (1→4)-β- D -glucan composed of glucose units. Beta-glucans, β-glucans comprise a group of β- D -glucose polysaccharides (glucans) naturally occurring in the cell walls of cereals, bacteria, and fungi, with significantly differing physicochemical properties dependent on source.
Not to be confused with Glycan. A glucan is a polysaccharide derived from D- glucose, [1] linked by glycosidic bonds. Glucans are noted in two forms: alpha glucans and beta glucans. Many beta-glucans are medically important. They represent a drug target for antifungal medications of the echinocandin class.
Glucanase. Glucanases are enzymes that break down large polysaccharides via hydrolysis. The product of the hydrolysis reaction is called a glucan, a linear polysaccharide made of up to 1200 glucose monomers, held together with glycosidic bonds. [1] Glucans are abundant in the endosperm cell walls of cereals such as barley, rye, sorghum, rice ...
1,3-Beta-glucan synthase. 1,3-Beta-glucan synthase is a glucosyltransferase enzyme involved in the generation of beta-glucan in fungi. It serves as a pharmacological target for antifungal drugs such as caspofungin, anidulafungin, and micafungin, deemed 1,3-Beta-glucan synthase inhibitors. Under the CAZy classification system, fungi and plant ...
The Riemann zeta function ζ(s) is a function of a complex variable s = σ + it, where σ and t are real numbers. (The notation s, σ, and t is used traditionally in the study of the zeta function, following Riemann.) When Re (s) = σ > 1, the function can be written as a converging summation or as an integral: where. is the gamma function.
For small values of m like 1, 2, or 3, the Ackermann function grows relatively slowly with respect to n (at most exponentially). For m ≥ 4 {\displaystyle m\geq 4} , however, it grows much more quickly; even A ( 4 , 2 ) {\displaystyle A(4,2)} is about 2.00353 × 10 19 728 , and the decimal expansion of A ( 4 , 3 ) {\displaystyle A(4,3)} is ...
In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series. Generating functions are often expressed in closed form (rather than as a series), by some expression involving operations on the formal series. There are various types of generating functions, including ...
Curdlan is a water-insoluble linear beta-1,3- glucan, a high-molecular-weight polymer of glucose. Curdlan consists of β- (1,3)-linked glucose residues and forms elastic gels upon heating in aqueous suspension. It was reported to be produced by Alcaligenes faecalis var. myxogenes. [1] Subsequently, the taxonomy of this non-pathogenic curdlan ...