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A linear algorithm for computing Polynomial Dynamical System. (arXiv:1810.04069v1 [q-bio.MN])
来源于:arXiv
Computation biology helps to understand all processes in organisms from
interaction of molecules to complex functions of whole organs. Therefore, there
is a need for mathematical methods and models that deliver logical explanations
in a reasonable time. For the last few years there has been a growing interest
in biological theory connected to finite fields: the algebraic modeling tools
used up to now are based on Gr\"obner bases or Boolean group. Let $n$ variables
representing gene products, changing over the time on $p$ values. A Polynomial
dynamical system (PDS) is a function which has several components, each one is
a polynom with $n$ variables and coefficient in the finite field $Z/pZ$ that
model the evolution of gene products. We propose herein a method using
algebraic separators, which are special polynomials abundantly studied in
effective Galois theory. This approach avoids heavy calculations and provides a
first Polynomial model in linear time. 查看全文>>