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An enzyme catalysing ATP hydrolysis. The isolated $F_1$ head of ATP synthase is a rotary ATPase; ATPase activity by itself does not imply proton pumping.

Researcher in molecular biophysics and coauthor of direct observation of F1-ATPase rotation. The experiment connected ATP synthase activity with an observable rotary motion rather than an inferred mechanical analogy.^[ref]

The fraction of an ATPase cycle spent strongly bound to actin. It contributes to processivity and tension holding but does not alone determine cellular function.

The observed $90^{\circ }+30^{\circ }$ substeps sum to $120^{\circ }$, consistent with three catalytic cycles per revolution of $F_1$-ATPase. Surface attachment fixes the $\beta$-subunit frame while the gold-labelled $\gamma$ shaft reports relative rotation. A finite dwell before the smaller step indicates hidden chemical transitions rather than a completely smooth motor.

Suppose two irreversible independent first-order transitions, with rates $k_a$ and $k_b$, must occur sequentially before the $30^{\circ }$ step. Their waiting times $X_a$ and $X_b$ have exponential distributions, and $\tau =X_a+X_b$. Convolution givesThis probability density integrates to one and has $⟨\tau ⟩=k_a^{-1}+k_b^{-1}$. For equal rates its continuous limit is $P(\tau )=k^2\tau e^{-k\tau }$, not a singular distribution. In particular $P(0)=0$ distinguishes two resolved sequential waits from a single exponential wait. Hydrolysis and product release are plausible underlying chemical events, but the waiting-time fit alone neither assigns their order nor uniquely identifies which biochemical event causes each substep. Concentration dependence or independent labelling would be needed for that assignment.

Thomas Wollert investigates how proteins reshape cell membranes. In a 2009 study, Wollert and colleagues reconstructed membrane cutting using purified ESCRT-III components and large artificial vesicles. Fluorescence microscopy revealed the formation and detachment of smaller vesicles into their interiors. This reduced a process normally embedded in a complex biological cell to components that could be added and omitted separately.^[ref]

Three ESCRT-III components sufficed for detachment in this system. Additional machinery, including an ATPase, was needed to recycle the protein assembly and sustain further rounds. The distinction is illuminating: the minimum machinery for one cutting event need not be the minimum machinery for repeated operation. The purified system established sufficiency under its experimental conditions, without showing that all processes in living biological cells use exactly that minimal sequence. The paper credits Wollert with preparing artificial vesicles, purifying and labeling proteins, and performing microscopy.^[ref]