Logistic-exponential model for chemiluminescence kinetics

Kochel, Bonawentura

doi:10.1016/s0039-9140(03)00064-x

Cited by 2 publications

(4 citation statements)

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“…a new generalized form of the second-order dynamic system, the solution to which describes both the initial sigmoidal and the final decaying phases of a time course of CL. The second-order dynamic system corresponding to the LE model, proposed originally in (2), consisted of the substrate (S), product (hν) and two intermediate reactants (X and Y), where the substrate was in excess, so that its concentration could be regarded as constant.…”

Section: Theoretical Basis Of the Analysismentioning

confidence: 99%

“…In the applications shown later in the paper, the fourth-order Runge-Kutta method was used. However, using the LE model received by approximation (1,2), theoretical solutions to the Luminator can be determined in the following way.…”

Section: Theoretical Basis Of the Analysismentioning

confidence: 99%

“…Since the value of k −1 is unknown, equation 6 must be reformulated; it was made here using the 0 ≤ k −1 < k 1 If no information is known about all the k 1 , k −1 , [X(0)] and [S(0)] values, they cannot be determined unambiguously, either by approximation (using equation 12) or by calculation (using equations 7, 10 or 13), because the number of variables is greater than the number of relations by which they are connected. In this situation, a slightly more difficult application of the LSM to the results of numerical integration of the Luminator (equation 2), at the constraints superimposed by: …”

Section: Theoretical Basis Of the Analysismentioning

confidence: 99%

“…A broad class of various CL processes was shown to be described precisely by the logistic-exponential (LE) model (1,2). In this paper, a generalized and simplified form of the system of kinetic equations, constituting the fundamental of this model, is proposed and estimators for its rate constants have been determined.…”

Section: Introductionmentioning

confidence: 99%

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Chemiluminescent picture of diphenyleneiodonium‐inhibited NADPH oxidase: a bimodal process and its logistic–exponential model‐based description

Kochel¹,

Vocks²,

Arnhold³

2007

Luminescence

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A chemiluminescence (CL) study of diphenyleneiodonium-inhibited NADPH oxidase was performed on a cellular system containing neutrophils stimulated by phorbol myristate acetate, indicating a complex bimodal structure of CL processes corresponding to different stages of the inhibition. The complex structure of these processes was described by a superposition of two logistic-exponential (LE) models, characterizing these processes as bimodal ones. To determine the mechanistic foundation of the LE model-described processes, a generalized form of the second-order dynamic system of CL reactions, the solution to which corresponds to the LE model, was constructed. The diphenyleneiodonium effects on neutrophil NADPH oxidase were separated from the total bimodal CL of the whole measurement system by the use of difference CL processes. These difference processes were also found to be bimodal; thus, inhibitor-induced reduction of CL could be described by a second-order dynamic system. The rate constants and initial concentrations in this dynamic system were determined by the least squares method applied to numerical solutions approximating the difference processes. Using interrelations between the parameters of the dynamic system, cooperative effects in the inhibitor reactions with NADPH oxidase were found and described quantitatively. Other evidences of cooperativity were obtained from integral characteristics of the CL reduction process, i.e. dose-response and progress curves, determined by numerical integration of the LE models constituting the superposition. On this basis, it was also possible to detect a specific binding of the inhibitor to the enzyme. Finally, putative reaction mechanisms suggested by the model obtained were considered and compared with those known at present.

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Section: Theoretical Basis Of the Analysismentioning

confidence: 99%

Section: Theoretical Basis Of the Analysismentioning

confidence: 99%