Most probable number

The water analysis is incomplete unless the number of coliform bacteria present is determined as well. A multiple-tube fermentation technique can be used to enumerate positive presumptive, confirmed, and fecal coliform tests. Results of the tests are expressed in terms of the most probable number (MPN). That is, the count is based on a statistical analysis of sets of tubes in a series of serial dilutions. MPN is related to a sample volume of 100 ml. Thus, an MPN of 10 means 10 coliforms per 100 ml of water. 

MPN index Most Probable Number of coliform-group organisms per unit volume of sample water. Expressed as a density or population of organisms per 100 mL of sample water. 

Clearing zones on agar plates Most probable number methods... 

Biochemical tests are usually performed after pure cultures have been obtained. The standard indole, methyl red, Voges-Proskauer, citrate, and litmus milk tests may be used to show important physiological characteristics. To study the functional diversity of bacteria, the utilization of carbohydrates, amines, amides, carboxylic acids, amino acids, polymers, and other carbon and nitrogen sources can be tested.28 Dilution-based most-probable number (MPN) techniques with phospholipid fatty acids as biomarkers have been employed for studying different bacterial species in lakes.40 The patterns of antibiotic resistance in bacteria isolated from natural waters have been useful for identifying sources of water pollution.34... 

Soil Physico-Chemical Characteristics and Soil Bacterial Most Probable Number On Glucose... 

Table 4. Principal components, the eigenvalues, the ratios of explaining variation and the eigenvectors based on the antibiotic resis-tance most probable numbers ... 

Doi R (2004) Soil bacterial community profiling with Biolog kinetic and antibiotic resistance most probable number approaches showed multidimensionality of land degradation. Int J Agri Bio 6 284-288 Doi R, Sakurai K (2003) Soil environmental factors relating to diversity of culturable soil bacterial communities in the Sakaerat Environmental Research Station, Thailand. Tropics 12 185-200... 

Wren AB, Venosa AD (1996) Selective enumeration of aromatic and aliphatic hydrocarbon degrading bacteria by a most-probable-number procedure. Can J Microbiol 42 252-258... 

Fig. 6 mCd NMR chemical shifts (diamonds) and linewidths (triangles) of Cd, YZ.nYTc as a function of x. The dashed-dotted line is the most probable number of NNN Zn atoms, and the solid line is the width calculated from probability distributions. Reprinted with permission from [157]. Copyright 1987 by the American Physical Society... 

Brown, E. J. and Braddock, J. F., 1990, Sheen Screen, a Miniaturized Most Probable Number Method for Enumeration of Oil-Degrading Micro-Organisms Applied and Environmental Microbiology, December, pp. 3895-3896. 

Wu et al. [157] applied the most probable number (MPN) method to test the hypothesis that 2,6-dibromobiphenyl (26-BB) primes PCB dechlorination by stimulating the growth of microorganisms which dehalogenate 26-BB and PCBs. The experiments were conducted in anaerobic microcosms of Aroclor 1260-contaminated sediment from Woods Pond (Lenox, MA). They reported... 

Fegan, N., Higgs, G., Vanderlinde, P., and Desmarchelier, P. (2004). Enumeration of Escherichia coli 0157 in cattle faeces using most probable number technique and automated immunomagnetic separation. Lett. Appl. Microbiol. 38,56-59. 

The deconvolved or restored object that we seek is the most probable number-count set nm. This is called the maximum-likelihood (ML) estimate of the object. It obeys simply... 

The method selected shall be capable of isolating the numbers and types of organisms that have been estimated significant relative to system control and product impact for each individual system. The recommended method is membrane filtration pour plate and most probable number may be used per requirements. 

From the configuration integral it is possible to derive an expression showing the most probable distribution of molecules among the cells. An approximate derivation can be used to arrive at the same distribution and to give some idea of the meaning of the terms involved. Let gi be the most probable number of molecules in a cell. Then the volume of a cell... 

Conclusions, (i) In the literature the / in the Boltzmann equation is variously defined as the number, the average number, the probable number or the most probable number (of molecules in a unit phase cell). In our treatment, based on the master equation, it appears as the macroscopic value of that number obtained in the limit of zero fluctuations. Moreover, to order A 1 the fluctuations are symmetric, so that / is also the average. It cannot be called the most probable number because it is not an integer. 

Numbers of rhizobia in a culture are estimated by the most probable number method whereby dilutions of the inoculant are used to infect sterile-grown test plants. The nodulated test plants, because they are cultured without combined nitrogen, show by their growth whether the inoculant strain fixes nitrogen. 

Data for the determination of the most probable number of molecules in the coordination spheres of C, H, N, O and F-containing structures... 

Given Ka, nA, and n°B, the average number as well as the most probable number of AB complexes can both be computed from the p, given in Equation (10.16). 

The most probable number l can be obtained by setting pe+1 — pi = 0. This is the discrete analog of setting the derivative of a continuous function equal to zero to bnd the extreme point. By this calculation, l is not necessarily an integer. Setting... 

Estimate the ozone dose needed to disinfect a filtered secondary effluent to an MPN (most probable number) value of 240/100 mL using the following disinfection data obtained from pilot-scale... 

The most probable number of faces of polyhedra filling up the space was determined by Schwarz [71] who employed the stereometric formula of Euler and Plateau s laws. For a convex polyhedron the following ratio is valid... 

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