Open AccessSynthesising periodic triggering signals with genetic oscillators
Author(s) -
Lin ChunLiang,
Chen PoKuei
Publication year - 2014
Publication title -
iet systems biology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.367
H-Index - 50
eISSN - 1751-8857
pISSN - 1751-8849
DOI - 10.1049/iet-syb.2013.0022
Subject(s) - fourier series , generator (circuit theory) , signal generator , signal (programming language) , harmonic , series (stratigraphy) , amplitude , fourier analysis , clock signal , mathematics , fourier transform , control theory (sociology) , square (algebra) , square wave , topology (electrical circuits) , computer science , physics , electronic circuit , mathematical analysis , acoustics , power (physics) , biology , optics , quantum mechanics , telecommunications , voltage , artificial intelligence , paleontology , control (management) , programming language , combinatorics , chip , geometry
The potential of the clock lies in its role of triggering logic reaction for sequential biological circuits. This research introduces an idea of designing a genetic clock generator by Fourier series based on the genetic oscillators. The authors generalise the design idea using a combination of fundamental sinusoidal signals. Since biochemical reaction of the biological system is extremely slow, however, transition between minimal and maximal levels is instantaneous for an ideal clock signal; it is thus not directly realisable in biological systems. That means it would be hard to directly synthesize a square wave generator for use as a genetic clock. They apply Fourier series to represent a square wave as a finite summation of sinusoidal waves generated by some genetic oscillators with different harmonic oscillating frequencies, in which the amplitude alternates at a constant frequency between the fixed minimal and maximal levels with the same duration of time.