Ben O'Shaughnessy

A fast, single-vesicle fusion assay mimics physiological SNARE requirements

Almost all known intracellular fusion reactions are driven by formation of trans-SNARE complexes through pairing of vesicle-associated v-SNAREs with complementary t-SNAREs on target membranes. However, the number of SNARE complexes required for fusion is unknown, and there is controversy about whether additional proteins are required to explain the fast fusion which can occur in cells. Here we show that single vesicles containing the synaptic/exocytic v-SNAREs VAMP/synaptobrevin fuse rapidly with planar, supported bilayers containing the synaptic/exocytic t-SNAREs syntaxin-SNAP25. Fusion rates decreased dramatically when the number of externally oriented v-SNAREs per vesicle was reduced below 5–10, directly establishing this as the minimum number required for rapid fusion. Docking-to-fusion delay time distributions were consistent with a requirement that 5–11 t-SNAREs be recruited to achieve fusion, closely matching the v-SNARE requirement.

Actin polymerization kinetics, cap structure, and fluctuations

Polymerization of actin proteins into dynamic structures is essential to eukaryotic cell life, motivating many in vitro experiments measuring polymerization kinetics of individual filaments. Here, we model these kinetics, accounting for all relevant steps revealed by experiment: polymerization, depolymerization, random ATP hydrolysis, and release of phosphate (P(i)). We relate filament growth rates to the dynamics of ATP-actin and ADP-P(i)-actin caps that develop at filament ends. At the critical concentration of the barbed end, c(crit), we find a short ATP cap and a long fluctuation-stabilized ADP-P(i) cap. We show that growth rates and the critical concentration at the barbed end are intimately related to cap structure and dynamics. Fluctuations in filament lengths are described by the length diffusion coefficient, D. Recently Fujiwara et al. [Fujiwara, I., Takahashi, S., Takaduma, H., Funatsu, T. & Ishiwata, S. (2002) Nat. Cell Biol. 4, 666-673] and Kuhn and Pollard [Kuhn, J. & Pollard, T. D. (2005) Biophys. J. 88, 1387-1402] observed large length fluctuations slightly above c(crit), provoking speculation that growth may proceed by oligomeric rather than monomeric on-off events. For the single-monomer growth process, we find that D exhibits a pronounced peak below c(crit), due to filaments alternating between capped and uncapped states, a mild version of the dynamic instability of microtubules. Fluctuations just above c(crit) are enhanced but much smaller than those reported experimentally. Future measurements of D as a function of concentration can help identify the origin of the observed fluctuations.

Irreversible adsorption from dilute polymer solutions

Abstract.We study irreversible polymer adsorption from dilute solutions theoretically. Universal features of the resultant non-equilibrium layers are predicted. Two broad cases are considered, distinguished by the magnitude of the local monomer-surface sticking rate Q: chemisorption (very small Q) and physisorption (large Q). Early stages of layer formation entail single-chain adsorption. While single-chain physisorption times

Irreversibility and polymer adsorption

\tau_{\rm ads}

Kinetics of stress fibers

are typically micro- to milli-seconds, for chemisorbing chains of N units we find experimentally accessible times

Recoil after severing reveals stress fiber contraction mechanisms.

\tau_{\rm ads} = Q^{-1} N^{3/5}

Self-Organization of Myosin II in Reconstituted Actomyosin Bundles

, ranging from seconds to hours. We establish 3 chemisorption universality classes, determined by a critical contact exponent: zipping, accelerated zipping and homogeneous collapse. For dilute solutions, the mechanism is accelerated zipping: zipping propagates outwards from the first attachment, accelerated by occasional formation of large loops which nucleate further zipping. This leads to a transient distribution

Reactions at polymer interfaces: Transitions from chemical to diffusion-control and mixed order kinetics

\omega(s) \sim s^{-7/5}

A mechanical-biochemical feedback loop regulates remodeling in the actin cytoskeleton

of loop lengths s up to a maximum size

The fission yeast cytokinetic contractile ring regulates septum shape and closure

s^{\max} \approx (Q t)^{5/3}