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Titlebook: Kinetic Logic: A Boolean Approach to the Analysis of Complex Regulatory Systems; Proceedings of the E René Thomas Conference proceedings 19

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Stochastic Models of Cellular Variabilityinfected by phage A may develop either a lytic or lysogenic response, and developmental processes in general involve the emergence of histologically novel cell types among genetically homogeneous cell lines. In this lecture I propose to describe certain stochastic techniques which are extensions of
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How to deal with variables with more than two levelsis is not always so ; a variable can have a number of values which sometimes do not correspond to a quantitative scale (for instance, the variable “colour” can have the values “red”, “yellow”, “blue”, “green”, a.s.o.), or which can be ordered along a quantitative scale. In the latter case, one might
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General discussion on the simplifying assumptions in methods using logical, stochastic or differenti the essential points, in somes cases there are serious discrepancies ; this is not too surprinsing, in view of the very different types of simplifying assumptions used in the different methods. Some of them are extremely obvious, other are more subtle but no less important. The main purpose of this
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0341-633X ersity of Brussels from 6 to 16 September 1977 under the auspices of EMBO (European Molecular Biology Organization). As indicated by the title of the book (but not explicitly enough by the title of the course), the main emphasis was put on a dynamic analysis of systems using logical methods, that is
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Combinational systemsments the reader should refer to the bibliography. In this book, we use the term “boolean” in its limited, but most common sense, meaning “binary”. In binary algebra, the variables can have only two values, 0 and 1 , or F (false) and T (true), or L (low) and H (high).
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Kinetic logic : a boolean analysis of the dynamic behaviour of control circuitsles, and of memorization variables α, β, γ,...(associated with the . of a gene, of a chemical reaction, etc.). .. From the set of logical equations describing a system, one can derive its stable steady states (if any), the pathways (temporal sequences of states) and the conditions determining which pathway will be followed.
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The dynamic behaviour of boolean systems comprising feedback loopsiour such as multiple steady states or sustained oscillations (see Nicolis and Prigogine, 1978 ; Othmer, 1976 ; for a more detailed bibliography, see chapter XIV by Richelle). Non trivial behaviours can also be found if the system combines a mild non linearity with appropriate time delays (see Richelle, 1977 ; this book, chapter XIV).
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