Results from a field-theoretic approach to membrane fusion Michael Schick Department of Physics University of Washington
à mon cher maître
Maurice Ravel
Synaptic Vesicles They are small R~15-25 nm cf bilayer thickness t~4nm They dock: nothing happens They are triggered: fuse rapidly Fusion on demand
Synaptic vesicles in C. Elegans J.L. Bessereau:
Questions Why does fusion occur and how? What are free energy barriers to fusion? What factors promote fusion?
Theoretical Procedure Consider fusion of vesicles of block copolymer: universality
Theoretical Procedure Consider fusion of vesicles of block copolymer: universality Polymers->Random walk->Diffusion Eq.-> Quantum Mech.
Theoretical Procedure Consider fusion of vesicles of block copolymer: universality Polymers->Random walk->Diffusion Eq.-> Quantum Mech. SCFT of interacting polymers-> Hartree Theory Advantages: microscopic model->architecture calculation of free energies
Bringing bilayers together removes water-> free energy per area increases-> bilayers are under tension WHY DOES FUSION OCCUR?
Bringing bilayers together removes water-> free energy per area increases-> bilayers are under tension Fusion eliminates area -> reduces the free energy Fusion is one possible response to induced tension Lysis (rupture) is another WHY DOES FUSION OCCUR?
HOW DOES FUSION OCCUR? one commonly accepted mechanism
Kozlov and Markin 1983 Profiles obtained by the theory
WHAT ARE THE FREE ENERGY BARRIERS TO FUSION?
Consider the fusion of two bilayers One component only A lamellar former
Kozlov and Markin 1983 Profiles obtained by the theory
One component, f = 0.4 (DOPC), / 0 = 0.2, equilibrium H, stalk 1 bilayer =4.3 R g
One component, f = 0.4, / 0 = 0.2, equilibrium H, stalk
One component, f = 0.4, / 0 = 0.2, equilibrium H, pore
One component, f = 0.4, / 0 = 0.2, equilibrium H, stalk & pore
In lipids, barrier would be 50 kT !
WHAT FACTORS AFFECT FUSION?
Effect of Tension
Effect of Two Components and Asymmetry in Leaves SMALL HEADS, LARGE TAILS FAVORED HERE IN PROXIMAL LEAF
Effect of Two Components and Asymmetry in Leaves Average concentration of hex-former is in cis 0.40 in cis 0.43 in cis F/k b T f=0.4 (DOPC) and f=0.294 (DOPE)
Effect of Two Components and Asymmetry in Leaves Average concentration of hex-former is in cis 0.40 in cis 0.43 in cis F/k b T Note that stalk becomes metastable. Its formation is now largest barrier
Effect of curvature Fusion of Bilayer and Vesicle: 1 bilayer =4.3 R g 60:40 mixture J Y Lee & M.S. BJ 2008
What should we expect the effect of curvature to be?
As vesicle radius decreases, effective tension increases, which decreases barrier
Fusion of two identical vesicles 60:40 mixture
H = 2.2 R_g, zero tension, 60:40 mixture Control Fusion by Controlling the Interbilayer Spacing
H = 2.2, 2.7 R_g, zero tension
H = 2.2, 2.7, 3.2 R_g, zero tension
H = 2.2, 2.7, 3.2, 3.7 R_g, zero tension
H = 2.2, 2.7, 3.2, 3.7, 4.0 R_g, zero tension
Conclusions Two barriers to fusion
Conclusions Two barriers to fusion Barrier to stalk formation linear in distance ->easy to prevent fusion
Conclusions Two barriers to fusion Barrier to stalk formation linear in distance ->easy to prevent fusion Second barrier reduced by composition and curvature
Conclusions Two barriers to fusion Barrier to stalk formation linear in distance ->easy to prevent fusion Second barrier reduced by composition and curvature Consequently, when brought close, stalk barrier is small, ~13kT, and fusion is quick Fusion on demand!
Acknowledgements Marcus Mueller Kirill Katsov Jae-Youn Lee NSF Grant DMR