A classical analogue of the quantum geometric phase may be realised in a given biological oscillator and require the cell to correct for an additional quantity added to the phase of oscillation upon every repetition of the cell cycle  .
Many intracellular processes continue to oscillate during the cell cycle, although it is not understood how they are affected by discontinuities caused in the cellular environment. It is generally assumed that oscillations remain robust provided the period of cell divisions is much larger than the period of the oscillator. Here I will show that under these conditions, a cell will in fact have to correct for an additional quantity added to the phase of oscillation upon each repetition of the cell cycle . The resulting phase shift is an analogue of the geometric phase, an abstract entity first discovered in quantum mechanics. In this letter I will discuss the theory of the geometric phase shift, and demonstrate its relevance to biological oscillations .
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A classical analogue of the quantum geometric phase may be realised in a given biological oscillator and require the cell
Many intracellular processes continue to oscillate during the cell cycle, although it is not understood how they are affected by discontinuities caused in the cellular environment. It is generally assumed that oscillations remain robust provided the period of cell divisions is much larger than the period of the oscillator. Here I will show that under these conditions, a cell will in fact have
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. The resulting phase shift is an analogue of the geometric phase, an abstract entity first discovered in quantum mechanics. In this letter I will discuss the theory of the geometric phase shift, and demonstrate its relevance to biological oscillations