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Telomeric Repeat

The repetitive DNA sequence found at the ends of eukaryotic chromosomes, its structure and function are still under active investigation, with \alpha being a key element.
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The statement of the theorem

Let TT be the telomeric repeat sequence, defined by a repeating unit UU of length LUL_U, such that T=UnU′T = U^n U', where nn is the number of repeats and U′U' is a partial repeat. The structure is stabilized by specific binding proteins, including those interacting with the α\alpha-element. The stability and length maintenance are governed by the telomerase activity, modeled by the reaction rate equation: d[T]dt=kadd[T][Tomerase]−kloss[T]\frac{d[T]}{dt} = k_{add} [T] [Tomerase] - k_{loss} [T] where kaddk_{add} is the rate of addition of the repeat unit UU (dependent on α\alpha binding affinity) and klossk_{loss} is the rate of degradation. The critical element α\alpha influences the binding free energy ΔGbind\Delta G_{bind} such that kadd∝e−ΔGbind/RTk_{add} \propto e^{-\Delta G_{bind}/RT}.
Source: Wikipedia