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MCM Helicase

A DNA helicase essential for unwinding the DNA double helix during replication and chromosome segregation within the cell cycle.
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The statement of the theorem

Define the DNA unwinding process by the helicase enzyme H\mathcal{H} acting on a double helix segment of length LL. Let N(t)N(t) be the number of base pairs unwound at time tt. The rate of unwinding is governed by the kinetic equation:\ndNdt=kunwind⋅[MCM]⋅(11+KM/[ATP])−kreanneal⋅(N−Neq)\frac{d N}{d t} = k_{unwind} \cdot [MCM] \cdot \left( \frac{1}{1 + K_M / [ATP]} \right) - k_{reanneal} \cdot (N - N_{eq})\nwhere kunwindk_{unwind} is the maximum unwinding rate, [MCM][MCM] is the concentration of the MCM complex, and kreannealk_{reanneal} models the rate of spontaneous reannealing, ensuring the process is thermodynamically favorable (ΔG<0\Delta G < 0 for unwinding).
Source: Wikipedia