Abstract
This paper focuses on the class of nested canalyzing Boolean functions. This class has been introduced and studied recently as a possible source for models of biological networks with favorable dynamic properties. We provide a geometric model for this class in the form of a toric algebraic variety described by a set of binomial polynomial equations, each of whose rational points corresponds to a nested canalyzing function. Toric varieties have a rich geometric and combinatorial structure which provides a basis for a theoretical study of the properties of canalyzing functions. In particular, a good computational characterization of this class would facilitate their incorporation into network inference methods for discrete biochemical networks.
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Jarrah, A.S., Laubenbacher, R. (2007). Discrete Models of Biochemical Networks: The Toric Variety of Nested Canalyzing Functions. In: Anai, H., Horimoto, K., Kutsia, T. (eds) Algebraic Biology. AB 2007. Lecture Notes in Computer Science, vol 4545. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73433-8_2
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DOI: https://doi.org/10.1007/978-3-540-73433-8_2
Publisher Name: Springer, Berlin, Heidelberg
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