Membrane electroporation: chemical thermodynamics and flux kinetics revisited and refined.

The chemical thermodynamic concept for membrane electroporation is critically revisited. The hysteresis in the electric field dependence of the rapid in-field electroporation events (on the in-field hysteresis branch) and the slower post-field pore resealing process (zero-field hysteresis branch) is a typical ensemble property involving rapid single-pore opening-closing events that are temporally and spatially distributed. In the case of spherical membrane shells in homogeneous external fields, the acting local field is dependent on the polar-angular position. Hence, the experimental state distribution constant and the ensemble rate coefficients are statistical position averages; they are cosine square averages of the polar angle. Advanced flux analysis uses the concept of time-dependent flux coefficients reflecting the kinetics of the rate-limiting structural processes of electroporation and membrane resealing. The explicit integral flux equations rationalize the sigmoid onset of the in-field kinetics and quantify the post-field-stretched exponentials as exponentials of exponentials. Finally, the new analytical proposal for the evaluation of the electric field strength dependence of global cell electroporation data starts with the low-field range and continues with iterative parameter optimisation over the entire field strength range.

Membrane and actin reorganization in electropulse-induced cell fusion.

When cells of Dictyostelium discoideum are exposed to electric pulses they are induced to fuse, yielding motile polykaryotic cells. By combining electron microscopy and direct recording of fluorescent cells, we have studied the emergence of fusion pores in the membranes and the localization of actin to the cell cortex. In response to electric pulsing, the plasma membranes of two contiguous cells are turned into tangles of highly bent and interdigitated membranes. Live-imaging of cells double-labeled for membranes and filamentous actin revealed that actin is induced to polymerize in the fusion zone to temporarily bridge the gaps in the vesiculating membrane. The diffusion of green fluorescent protein (GFP) from one fusion partner to the other was scored using spinning disc confocal microscopy. Fusion pores that allowed intercellular exchange of GFP were formed after a delay, which lasted up to 24 seconds after exposure of the cells to the electric field. These data indicate that the membranes persist in a fusogenic state before pores of about 3 nm diameter are formed.

Transient oscillation of shape and membrane conductivity changes by field pulse-induced electroporation in nano-sized phospholipid vesicles.

The results of electrooptical and conductometrical measurements on unilamellar lipid vesicles (of mean radius a = 90 nm), filled with 0.2 M NaCl solution, suspended in 0.33 M sucrose solution of 0.2 mM NaCl, and exposed to a stepwise decaying electric field (time constant τE = 154 µs) in the range 10 ≤ E0 (kV cm(-1)) ≤ 90, are analyzed in terms of cyclic changes in vesicle shape and vesicle membrane conductivity. The two peaks in the dichroitic turbidity relaxations reflect two cycles of rapid membrane electroporation and slower resealing of long-lived electropores. The field-induced changes reflect structural transitions between closed (C) and porated (P) membrane states, qualified by pores of type P1 and of type P2, respectively. The transient change in the membrane conductivity and the transient shape oscillation are based on changes in the pore density of the (larger) P2-pores along a hysteresis cycle. The P2-pore formation leads to transient net ion flows across the P2-pores and to transient changes in the membrane field. The kinetic data are numerically processed in terms of coupled structural relaxation modes. Using the torus-hole pore model, the mean inner pore radii are estimated to be r1 = 0.38 (±0.05) nm and r2 = 1.7 (±0.1) nm, respectively. The observation of a transient oscillation of membrane electroporation and of shape changes in a longer lasting external field pulse is suggestive of potential resonance enhancement, for instance, of electro-uptake by, and of electro-release of biogenic molecules from, biological cells in trains of long-lasting low-intensity voltage pulses.

Kinetics, statistics, and energetics of lipid membrane electroporation studied by molecular dynamics simulations.

Membrane electroporation is the method to directly transfer bioactive substances such as drugs and genes into living cells, as well as preceding electrofusion. Although much information on the microscopic mechanism has been obtained both from experiment and simulation, the existence and nature of possible intermediates is still unclear. To elucidate intermediates of electropore formation by direct comparison with measured prepore formation kinetics, we have carried out 49 atomistic electroporation simulations on a palmitoyl-oleoyl-phosphatidylcholine bilayer for electric field strengths between 0.04 and 0.7 V/nm. A statistical theory is developed to facilitate direct comparison of experimental (macroscopic) prepore formation kinetics with the (single event) preporation times derived from the simulations, which also allows us to extract an effective number of lipids involved in each pore formation event. A linear dependency of the activation energy for prepore formation on the applied field is seen, with quantitative agreement between experiment and simulation. The distribution of preporation times suggests a four-state pore formation model. The model involves a first intermediate characterized by a differential tilt of the polar lipid headgroups on both leaflets, and a second intermediate (prepore), where a polar chain across the bilayer is formed by 3-4 lipid headgroups and several water molecules, thereby providing a microscopic explanation for the polarizable volume derived previously from the measured kinetics. An average pore radius of 0.47 +/- 0.15 nm is seen, in favorable agreement with conductance measurements and electrooptical experiments of lipid vesicles.

Nonlinear current-voltage relationship of the plasma membrane of single CHO cells.

The application of electric field pulses to Chinese Hamster Ovary (CHO) cells causes membrane electroporation (MEP). If a voltage or current ramp is applied to the cellular membrane of a single CHO cell, the membrane conductance increases nonlinearly with field strength reaching saturation. In particular, the kinetics of the induced conductance changes represents the data basis for the interpretation in terms of underlying structural changes. The current/voltage characteristic is found to be continuous, but displays occasionally a sharp increase in the conductance. The step-like increases are interpreted to reflect the formation of one (or more) larger pore(s). The analysis of current clamp data yields pores of radius (r(p)) in the range of 2.5< or =r(p)/nm< or =20; the pores of the voltage clamp data are in the range of 2.5< or =r(p)/nm< or =55. The larger pores occur predominantly during hyperpolarising and less frequently during depolarising conditions, respectively. The different kinetics of pore formation in the hyperpolarising condition, where the inward field increases, and the depolarising condition, where the inward field first decreases and then increases in the opposite direction, suggests structural asymmetry with respect to the direction of the electric membrane field. At the required higher voltage, the effect of the resting potential is negligibly small.

Interfacial ternary complex DNA/Ca/lipids at anionic vesicle surfaces.

The electroporative transfer of gene DNA and other bioactive substances into tissue cells by electric pulses gains increasing importance in the new disciplines of electrochemotherapy and electrogenetherapy. The efficiency of the electrotransfer depends crucially on the adsorption of the gene DNA and oligonucleotides to the plasma cell membranes. Here it is shown that the adsorption of larger oligonucleotides such as fragments (ca. 300 bp) of sonicated calf-thymus DNA, to anionic lipids of unilamellar vesicles (diameter Phi=300+/-90 nm) is greatly enhanced by divalent cations such as Ca(2+)-ions. Applying centrifugation, bound and free DNA are monitored optically at the wavelength lambda=260 nm. Using arsenazo III as a Ca(2+)-indicator and atomic absorption spectroscopy (AAS), Ca(2+)-titrations of DNA and vesicles yield the individual equilibrium constants of Ca(2+)- and DNA-binding not only for the binary complexes: Ca/lipids, Ca/DNA and DNA/lipids, respectively, but also for the various processes to form the ternary complex DNA/Ca/lipids. The data provide the basis for goal-directed optimization protocols for the adsorption and thus efficient electrotransfer of oligonucleotides and polynucleotides into cells.

Cholesterol reduces membrane electroporation and electric deformation of small bilayer vesicles.

Electric fields, similar in the order of magnitude of the natural membrane fields of cellular lipid/protein membranes, and chemical relaxation spectrometry can be used as tools to quantify the rigidifying effect of cholesterol in membranes. Small unilamellar vesicles of radius a=50+/-3 nm, prepared form phosphatidylcholine, phosphatidylserine and phosphatidyl-glycerol in the molar ratio 1:1:1 and containing the optical lipid probe molecule 2-(3-diphenyl-hexatrienyl) propanoyl)-1-palmitoyl-sn-glycerol-3-phosphocholine (beta-DPH pPC), serve as examples for curved lipid membranes. The data of electrooptical turbidity and absorbance relaxations at the wavelength lambda=365 nm are analysed in terms of membrane bending rigidity kappa and membrane stretching modulus K. Both kappa and K increase with increasing mole fraction x of cholesterol up to x=0.5. The cholesterol induced denser packing of the lipids reduces the extent of both membrane electroporation (ME) and electroelongation of the vesicles. Further on, cholesterol in the lipid phase and sucrose in the aqueous suspension reduce the extent of membrane undulation and electro-stretching.

Digression on membrane electroporation for drug and gene delivery.

Membrane electroporation (ME) defines an electrical technique to render lipid membranes porous and permeable, transiently and reversibly, by external voltage pulses. Although there are numerous applications of ME to manipulate cells, organelles and tissues in cell biology, biotechnology and medicine, yet the molecular mechanism of ME is only slowly being understood. A general chemical- thermodynamical approach for the quantitative description of cell membrane electroporation has been developed to provide the framework to quantitatively rationalize electroporative cell transformation and electroporative uptake of drug-like dyes into cells, as well as electrolyte efflux from salt-filled electroporated vesicles. Mechanistically, the electroporative transfer of gene and drug-like dyes involves the coupling between an interactive contact formation of the permeates with the cell surface membrane and the structural electroporation-resealing cycle C <--> (P) where C is the closed and (P) represents a number of different porated membrane states, respectively. The experimentally accessible concentration fraction f(p) = [(P)] / ([C] + [(P)]) of porous states is related to thermodynamic and electro-mechanic parameters such as temperature and the electric field strength, membrane rigidity or curvature. The results of the theoretical approach, mainly based on electrooptical data of lipid vesicles, have been successfully used to analyze single cells and to specify conditions for the practical purpose of direct electroporative gene transfer and drug delivery, in particular in the new medical disciplines of electroporative chemotherapy and electroporative gene vaccination.

Temperature jump kinetic study of the stability of apo-calmodulin.

Temperature-jump relaxation spectrometry has been used to study the unfolding properties of Ca(2+)-free Drosophila calmodulin from 278 to 336 K, monitored by absorption of Tyr-138. The T-jump amplitude data are well fitted throughout with a melting temperature T(m) = 315.7 K, deltaH(o)(m) = 140.5 kJ mol(-1) and deltaC(p)(o) = 3.28 kJ K(-1) mol(-1), giving deltaG(o)(293) = 7.36 kJ mol(-1) for the C-domain, in good agreement with other data. The relaxation rate observed (time range 1 micros-1 ms) obeys a simple two-state kinetic mechanism throughout. The activation energy for unfolding is nearly temperature-independent, in contrast to that for refolding, and hence the transition state is relatively compact, resembling the folded state, and the relaxation time, tau, shows complex temperature dependence. The domain unfolding is a two-state process occurring with tau of approximately 100 micros at the T(m). At 296 K, when the C-domain is approximately 6% unfolded, k(unfolding) approximately 305 s(-1), k(refolding) approximately 4660 s(-1) and tau approximately 200 micros. This closely resembles the rate and extent of a reported C-domain exchange process, inferred from NMR line-broadening at 296 K. The inherent instability of the apo-C-domain of calmodulin indicates that the unfolded form significantly contributes to the physical properties of apo-calmodulin at normal temperatures, and this instability is enhanced by low ionic strength conditions.

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.

Adsorption of DNA and electric fields decrease the rigidity of lipid vesicle membranes.

The adsorption of calf-thymus DNA-fragments of 300 +/- 50 base pairs (bp) to the outer membrane monolayer of unilamellar lipid vesicles in the presence of Ca2+ ions has been quantified by the standard method of chemical relaxation spectrometry using polarized light. The vesicles of radius a = 150 +/- 45 nm are prepared from bovine brain extract type III containing 80-85% phosphatidylserine (PS) and palmitoyl-oleoyl-phosphatidylcholine (POPC) in the molar ratio PS : 2POPC; total lipid concentration [L(t)] = 1 mM in 1 mM HEPES buffer, pH 7.4 at T = 293 K (20 degrees C). The turbidity relaxations of vesicle suspensions, at the wavelength lambda = 365 nm at two characteristic electric field strengths are identified as electroelongation of the whole vesicle coupled to smoothing of thermal membrane undulations and membrane stretching, and at higher fields, to membrane electroporation (MEP). The elongation kinetics indicates that the DNA adsorption renders the membrane more flexible and prone to membrane electroporation (MEP). Remarkably, it is found that the Ca-mediated adsorption of DNA (D) decreases both, bending rigidity kappa and stretching modulus K, along an unique Langmuir adsorption isotherm for the fraction of bound DNA at the given Ca concentration [Ca(t)] = 0.25 mM. The characteristic chemo-mechanical parameter of the isotherm is the apparent dissociation equilibrium constant K(D,Ca) = 100 +/- 10 microM (bp) of the ternary complex DCaB of DNA base pairs (bp) and Ca binding to sites B on the outer vesicle surface. Whereas both kappa and K decrease in the presence of high electric fields (E), the key parameter K(D,Ca) is independent of E in the range 0 < or = E/(kV cm(-1)) < or = 40.