Ionic conductivity of electroporated lipid bilayer membranes

The ionic conductivity of lipid membrane pores has been theoretically analysed in terms of electrostatic interactions of the transported ions with the low-dielectric pore wall for a commonly encountered case of unequal concentrations of electrolyte on the two sides of curved lipid membranes. Theoretical analysis of the data on the conductivity of the electroporated membrane of lipid vesicles (Lecithin 20%) of radius a=90 nm yields the molar energy of interaction of a small monovalent ion with a pore wall w(0)=9+/-1 RT (or w(0)=22+/-kJ mol(-1)), corresponding to a mean pore radius of (-)r(p)=0.56+/-0.05 nm. The proposed theoretical approach provides a tool for the analysis and description of the nonlinear current-voltage dependencies in membrane pores and channels.

Membrane electroporation and electromechanical deformation of vesicles and cells

Analysis of the reduced turbidity (delta T-/T0) and absorbance (delta A-/A0) relaxations of unilamellar lipid vesicles, doped with the diphenylhexatrienyl-phosphatidylcholine (beta-DPH pPC) lipids in high-voltage rectangular electrical field pulses, demonstrates that the major part of the turbidity and absorbance dichroism is caused by vesicle elongation under electric Maxwell stress. The kinetics of this electrochemomechanical shape deformation (time constants 0.1 < or = tau/microsecond < or = 3) is determined both by the entrance of water and ions into the bulk membrane phase to form local electropores, and by the faster processes of membrane stretching and smoothing of thermal undulations. Moreover, the absorbance dichroism indicates local displacements of the chromophore relative to the membrane normal in the field. The slightly slower relaxations of the chemical turbidity (delta T+/T0) and absorbance (delta A+/A0) modes are both associated with the entrance of solvent into the interface membrane/medium, caused by the alignment of the bipolar lipid head groups in one of the leaflets at the pole caps of the vesicle bilayer. In addition, (delta T+/T0) indicates changes in vesicle shape and volume. The results for lipid vesicles provide guidelines for the analysis of electroporative deformations of biological cells.

Fundamentals of electroporative delivery of drugs and genes

Electrooptical and conductometrical relaxation methods have given a new insight in the molecular mechanisms of the electroporative delivery of drug-like dyes and genes (DNA) to cells and tissues. Key findings are: (1) Membrane electroporation (ME) and hence the electroporative transmembrane transport of macromolecules are facilitated by a higher curvature of the membrane as well as by a gradient of the ionic strength across charged membranes, affecting the spontaneous curvature. (2) The degree of pore formation as the primary field response increases continuously without a threshold field strength, whereas secondary phenomena, such as a dramatic increase in the membrane permeability to drug-like dyes and DNA (also called electropermeabilization), indicate threshold field strength ranges. (3) The transfer of DNA by ME requires surface adsorption and surface insertion of the permeant molecule or part of it. The diffusion coefficient for the translocation of DNA (M(r) approximately 3.5 x 10(6)) through the electroporated membrane is Dm = 6.7 x 10(-13) cm2 s-1 and Dm for the drug-like dye Serva Blue G (M(r) approximately 854) is Dm = 2.0 x 10(-12) cm2 s-1. The slow electroporative transport of both DNA and drugs across the electroporated membrane reflects highly interactive (electro-) diffusion, involving many small pores coalesced into large, but transiently occluded pores (DNA). The data on mouse B-cells and yeast cells provide directly the flow and permeability coefficients of Serva blue G and plasmid DNA at different electroporation protocols. The physico-chemical theory of ME and electroporative transport in terms of time-dependent flow coefficients has been developed to such a degree that analytical expressions are available to handle curvature and ionic strength effects on ME and transport. The theory presents further useful tools for the optimization of the ME techniques in biotechnology and medicine, in particular in the new field of electroporative delivery of drugs (electrochemotherapy) and of DNA transfer and gene therapy.

Mechanism of electroporative dye uptake by mouse B cells

The color change of electroporated intact immunoglobulin G receptor (Fc gammaR-) mouse B cells (line IIA1.6) after direct electroporative transfer of the dye SERVA blue G (Mr 854) into the cell interior is shown to be dominantly due to diffusion of the dye after the electric field pulse. Hence the dye transport is described by Fick's first law, where, as a novelty, time-integrated flow coefficients are introduced. The chemical-kinetic analysis uses three different pore states (P) in the reaction cascade (C <==> P1 <==> P2 <==> P3), to model the sigmoid kinetics of pore formation as well as the biphasic pore resealing. The rate coefficient for pore formation k(p) is dependent on the external electric field strength E and pulse duration tE. At E = 2.1 kV cm(-1) and tE = 200 micros, k(p) = (2.4 +/- 0.2) x 10(3) s(-1) at T = 293 K; the respective (field-dependent) flow coefficient and permeability coefficient are k(f)0 = (1.0 +/- 0.1) x 10(-2) s(-1) and P0 = 2 cm s(-1), respectively. The maximum value of the fractional surface area of the dye-conductive pores is 0.035 +/- 0.003%, and the maximum pore number is Np = (1.5 +/- 0.1) x 10(5) per average cell. The diffusion coefficient for SERVA blue G, D = 10(-6) cm2 s(-1), is slightly smaller than that of free dye diffusion, indicating transient interaction of the dye with the pore lipids during translocation. The mean radii of the three pore states are r(P1) = 0.7 +/- 0.1 nm, r(P2) = 1.0 +/- 0.1 nm, and r(P3) = 1.2 +/- 0.1 nm, respectively. The resealing rate coefficients are k(-2) = (4.0 +/- 0.5) x 10(-2) s(-1) and k(-3) = (4.5 +/- 0.5) x 10)(-3) s(-1), independent of E. At zero field, the equilibrium constant of the pore states (P) relative to closed membrane states (C) is K(p)0 = [(P)]/[C] = 0.02 +/- 0.002, indicating 2.0 +/- 0.2% water associated with the lipid membrane. Finally, the results of SERVA blue G cell coloring and the new analytical framework may also serve as a guideline for the optimization of the electroporative delivery of drugs that are similar in structure to SERVA blue G, for instance, bleomycin, which has been used successfully in the new discipline of electrochemotherapy.

Annexin V and vesicle membrane electroporation

The method of membrane electroporation (ME) has been used as an analytical tool to quantify the effect of membrane curvature on transient electric pore formation, and on the adsorption of the protein annexin V (M(r)= 35,800) to the outer surface of unilamellar lipid vesicles (of radii 25 < or = a/nm < or = 200). Relaxation kinetic studies using optical membrane probes of the diphenylhexatriene type suggest that electric pore formation is induced by ionic interfacial polarization causing entrance of the (more polarizable) water into the lipid bilayer membrane yielding (hydrophobic and hydrophilic) pore states with a mean stationary pore radius rp = 0.35 (+/-0.05) nm. Extent and rate of ME, compared at the same induced transmembrane voltage, were found to decrease both with increasing vesicle radius and with increasing protein concentration. This 'inhibitory' effect of annexin V is apparently allosteric and saturates at about [ANT]sat = 4 microM annexin V for vesicles of a = 100 nm at 1 mM total lipid concentration, 0.13 mM total Ca2+ concentration and at T = 293 K. Data analysis in terms of Gibbs area-difference-elasticity energy suggests that the bound annexin V reduces the gradient of the lateral pressure across the membrane. At [ANT]sat, about 20% of the vesicle surface is covered by the bound protein, but it is only 0.01% of the surface of the outer lipid leaflet in which a part of the protein, perhaps the aromatic residue of the tryptophan (W 187), is inserted. Insertion leads to a denser packing of the lipid molecules in the outer membrane leaflet. As a consequence, the radius of the electropores in the remaining membrane part, not covered by annexin V decreases (rp/nm = 0.37, 0.36 and 0.27) with increasing adsorption of the protein ([ANT] = 0, 2 and 4 microM, respectively).

Calcium-mediated DNA adsorption to yeast cells and kinetics of cell transformation by electroporation

Detailed kinetic data suggest that the direct transfer of plasmid DNA (YEp 351, 5.6 kbp, supercoiled, Mr approximately 3.5 x 10(6)) by membrane electroporation of yeast cells (Saccharomyces cerevisiae, strain AH 215) is mainly due to electrodiffusive processes. The rate-limiting step for the cell transformation, however, is a bimolecular DNA-binding interaction in the cell interior. Both the adsorption of DNA, directly measured with [32P]dCTP DNA, and the number of transformants are collinearly enhanced with increasing total concentrations [Dt] and [Cat] of DNA and of calcium, respectively. At [Cat] = 1 mM, the half-saturation or equilibrium constant is KD = 15 +/- 1 nM at 293 K (20 degrees C). The optimal transformation frequency is TFopt = 4.1 +/- 0.4 X 10(-5) if a single exponential pulse of initial field strength E0 = 4 kV cm-1 and decay time constant tauE = 45 ms is applied at [Dt] = 2.7 nM and 10(8) cells in 0.1 ml. The dependence of TF on [Cat] yields the equilibrium constants KCazero = 1.8 +/- 0.2 mM (in the absence of DNA) and K'Ca (at 2.7 nM DNA), comparable with and derived from electrophoresis data. In yeast cells, too, the appearance of a DNA molecule in its whole length in the cell interior is clearly an after-field event. At Eo = 4.0 kV cm-1 and T = 293 K, the flow coefficient of DNA through the porous membrane patches is Kto = 7.0 +/- 0.7 x 10(3)S-1 and the electrodiffusion of DNA is approximately 10 times more effective than simple diffusion: D/D0 approximately 10.3. The mean radius of these pores is rp = 0.39 +/- 0.05 nm, and the mean number of pores per cell (of size ø approximately 5.5 microns) is Np = 2.2 +/- 0.2 x 10(4). The maximal membrane area that is involved in the electrodiffusive penetration of adsorbed DNA into the outer surface of the electroporated cell membrane patches is only 0.023% of the total cell surface. The surface penetration is followed either by additional electrodiffusive or by passive (after-field) diffusive translocation of the inserted DNA into the cell interior. For practical purposes of optimal transformation efficiency, 1 mM calcium is necessary for sufficient DNA binding and the relatively long pulse duration of 20-40 ms is required to achieve efficient electrodiffusive transport across the cell wall and into the outer surface of electroporated cell membrane patches.

Electro-optics of membrane electroporation in diphenylhexatriene-doped lipid bilayer vesicles

The electric (linear) dichroisms observed in the membrane electroporation of salt-filled lipid bilayer vesicles (diameter O = 2 alpha = 0.32 micron; inside [NaCl] = 0.2 M) in isotonic aqueous 0.284 M sucrose-0.2 mM NaCl solution indicate orientation changes of the anisotropic light scattering centers (lipid head groups) and of the optical transition moments of the membrane-inserted probe 1,6-diphenyl-1,3,5-hexatriene (DPH). Both the turbidity dichroism and DPH absorbance dichroism show peculiar features: (1) at external electric fields E > or = Esat the time course of the dichroism shows a maximum value (reversal): Esat = 4.0 (+/- 0.2) MV m-1, T = 293 K (20 degrees C), (2) this reversal value is independent of the field strength for E > or = Esat, (3) the dichroism amplitudes exhibit a maximum value Emax = 3.0 (+/- 0.5) MV m-1, (4) for the pulse duration of 10 microseconds there is one dominant visible normal mode, the relaxation rate increases up to tau-1 approximately 0.6 x 10(6) s-1 at Esat and then decreases for E > Esat. The data can be described in terms of local lipid phase transitions involving clusters Ln of n lipids in the pore edges according to the three-state scheme C<-->HO<-->HI, C being the closed bilayer state, HO the hydrophobic pore state and HI the hydrophilic or inverted pore state with rotated lipid and DPH molecules. At E > or = Esat, further transitions HO<-->HO* and HI<-->HI* are rapidly coupled to the C<-->HO transition, which is rate-limiting. The vesicle geometry conditions a cos theta dependence of the local membrane field effects relative to the E direction and the data reflect cos theta averages. The stationary induced transmembrane voltage delta phi (theta, lambda m) = -1.5 aEf(lambda m) magnitude of cos theta does not exceed the limiting value delta phi sat = -0.53 V, corresponding to the field strength Em,sat = -delta phi sat/d = 100 MV m-1 (10(3) kV cm-1), due to increasing membrane conductivity lambda m. At E = Esat, f(lambda m) = 0.55, lambda m = 0.11 mS m-1. The lipid cluster phase transition model yields an average pore radius of rp = 0.35 (+/- 0.05) nm of the assumed cylindrical pore of thickness d = 5 nm, suggesting an average cluster size of <n> = 12 (+/- 2) lipids per pore edge. For E > Esat, the total number of DPH molecules in pore states approaches a saturation value; the fraction of DPH molecules in HI pores is 12 (+/- 2)% and that in HO pores is 48 (+/- 2)%. The percentage of membrane area P approximately (lambda m/lambda i) x 100% of conductive openings filled with the intravesicular medium of conductance lambda i = 2.2 S m-1 linearly increases from P approximately 0% (E = 1.8 MV m-1) to P = 0.017% (E = 8.5 MV m-1). Analogous estimations made by Kinosita et al. (1993) on the basis of fluorescence imaging data for sea urchin eggs give the same order of magnitude for P (0.02-0.2%). The increase in P with the field strength is collinear with the increase in concentration of HI and HI* states with the field strength, whereas the HO and HO* states exhibit a sigmoid field dependence. Therefore our data suggest that it is only the HI and HI* pore states which are conductive. It is noted that the various peculiar features of the dichroism data cannot be described by simple whole particle deformation.