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** Dose-response relationships, mathematical **

** Dose-response relationships, mathematical analysis **

** Film models mathematical relationships **

** Mathematics of Linear Relationships **

** Rate expression A mathematical relationship **

In order to obtain structure-biological activity relationships mathematic methods have been used [191-193]. Quantitative correlations between molecular structure and pharmacokinetic and pharmacodynamic characteristics of fluoroquinolones in combination with informative hanometric approach have been used to forecast anti-pneumococcus activity [194]. Elucidation of the structure - activity relationships in the series of fluoroquinolones is the subject of numerous publications [195-197]. Dependence of antibacterial activity on the nature of substituents has been established for several series of bicyclic fluoroquinolones [11,198-200]. [Pg.132]

Quantitative Structure-Activity Relationships Mathematical (Empirical) Model - Employing the method of Free and Wilson, Beasley and Purcell have reported the successful prediction of the butyriicholinesterase inhibitory potency of l-decyl-3-(N-ethyl-N-methylcarbamoyl)piperidine hydrobromide. Three years after the predicted biochemical response was published, this compound was synthesized and evaluated biochemically. The observed response was found to be quantitatively near the predicted value. [Pg.314]

The PES is a central concept in computational chemistry. A PES is the relationship -mathematical or graphical - between the energy of a molecule (or a collection of molecules) and its geometry. [Pg.38]

For each mechanism of inhibited oxidation, [RO ] can be related to InH and ROOM, expressing this relationship mathematically and solving the system of two differential equations, which describe oxygen absorption and inhibitor consumption, and to express the amount of absorbed oxygen through the amount of the consumed inhibitor. For example, in the case of mechanism V when reactions (8), (31), (-31), and (33) are key (see Table 11.1), we obtain [Pg.356]

Ohm s law says that applying a potential V across an electrical resistor R induces a proportional current I. We can state this relationship mathematically as [Pg.281]

In other words, as the pressure of a closed system increases, its volume decreases. If the pressure is decreased by half, the volume doubles. We can write this relationship mathematically by using the proportionality symbol, a. V a 1 IP means that volume is inversely proportional to the pressure. [Pg.432]

As briefly mentioned in Section 6.4.3, the P-1 Method is sometimes based on empirical relationships. Mathematical expressions of P-1 damage curves are derived from test results. Refer to Baker 1983 and FACEDAP 1994 for further details. [Pg.49]

Power refers to the less dependent firm s abihty to influence the more dependent party s decision making. Though there are multiple conceptualizations of power in the extant hterature, we focus on the power derived fi om the relative dependence in a dyadic relationship. Mathematically, the source of power can be calculated as the difference between the dependence of firm A on B and the dependence of firm B on A. If the later is higher then firm A has power over firm B (Pfeffer, 1992). When the two firms are symmetrically dependent on each other, neither party has power over the other. [Pg.231]

Jacques Charles observed that for a fixed quantity of gas, the volume at constant pressure changes when temperature changes the volume increases (V f ) when the temperature increases (T f ) the volume decreases (V ) when the temperature decreases (T j). Although first described by Charles in 1787, it was not until 1802 that Joseph Gay-Lussac expressed the relationship mathematically. [Pg.131]

This chapter starts with some definitions, an important one being the thermodynamic system, and the macroscopic variables that characterize it. If we are considering a gas in our system, we will find that various mathematical relationships are used to relate the physical variables that characterize this gas. Some of these relationships— gas laws —are simple but inaccurate. Other gas laws are more complicated but more accurate. Some of these more complicated gas laws have experimentally determined parameters that are tabulated to be looked up later, and they may or may not have physical justification. We develop some relationships (mathematical ones) using some simple calculus. These mathematical manipulations will be useful in later chapters as we get deeper into thermodynamics. Finally, we introduce thermodynamics from a molecular point of view, because an acceptable model of thermodynamics must connect to the atomic theory of matter. [Pg.1]

Propositions have also formal logic as objects of a formal language. The form of a proposition depends on the type of logic. The elements of such language are either variables (cause-reason-input or effect-result-output), predictive relationships, mathematical symbols and operators, functions, quantifiers and constants. One can propose his/her view of point about an event and then s/he must defend it against the critical debates of others. [Pg.110]

** Dose-response relationships, mathematical **

** Dose-response relationships, mathematical analysis **

** Film models mathematical relationships **

** Mathematics of Linear Relationships **

** Rate expression A mathematical relationship **

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