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In enzymology, the turnover number (k cat) is defined as the limiting number of chemical conversions of substrate molecules per second that a single active site will execute for a given enzyme concentration [E T] for enzymes with two or more active sites. [1] For enzymes with a single active site, k cat is referred to as the catalytic constant. [2]
On the other hand, the V max will decrease relative to an uninhibited enzyme. On a Lineweaver-Burk plot, the presence of a noncompetitive inhibitor is illustrated by a change in the y-intercept, defined as 1/V max. The x-intercept, defined as −1/K M, will remain the same. In competitive inhibition, the inhibitor will bind to an enzyme at the ...
Cooperative game theory is a branch of game theory that deals with the study of games where players can form coalitions, cooperate with one another, and make binding agreements. The theory offers mathematical methods for analysing scenarios in which two or more players are required to make choices that will affect other players wellbeing. [5]
The GKK algorithm. [5] Its main idea is to add a potential to every vertex in the graph, and slowly increase the potential on some nodes until we find the zero-mean partition. This also gives us the energy values in an energy game. Value iteration. [6] Its main idea is to give each vertex a value, and update the values via fixed point iteration.
The multiplicative weights update method is an algorithmic technique most commonly used for decision making and prediction, and also widely deployed in game theory and algorithm design. The simplest use case is the problem of prediction from expert advice, in which a decision maker needs to iteratively decide on an expert whose advice to follow.
A weighted voting game can be represented by only n+1 values: a weight for each player, and the threshold. In a weighted voting game, the core can be computed in time polynomial in n . In contrast, the least-core is NP-hard, but has a pseudopolynomial time algorithm - an algorithm polynomial in n and the maximum (integer) weight W . [ 3 ]
Game theory has come to play an increasingly important role in logic and in computer science. Several logical theories have a basis in game semantics. In addition, computer scientists have used games to model interactive computations. Also, game theory provides a theoretical basis to the field of multi-agent systems. [124]
In game theory, a correlated equilibrium is a solution concept that is more general than the well known Nash equilibrium. It was first discussed by mathematician Robert Aumann in 1974. [1] [2] The idea is that each player chooses their action according to their private observation of the value of the same public signal. A strategy assigns an ...