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Progress in Colloid & Polymer Science • Vol. 79 PROGRESS IN COLLOID & POLYMER SCIENCE Editors" H.-G. Kilian (Ulm) and G. Lagaly (Kiel) Volume 79 (1989) Trends in Colloid and Interface Science III Guest Editors" .P Bothorel and E. J. Dufourc (Talence) 0 Steinkopff Verlag • Darmstadt Springer-Verlag. New York ISBN 3-7985-0831-3 (FRG) ISBN 0-387-91364-5 (USA) ISSN 0340-255 X This work is subject to copyright. All fights are reserved, whether the whole or part of the material is concerned, specifically these fights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9,1965, in its version of June 1985, 24, and a copyright fee must always be paid. Viola- tions fall under the prosecution act of the German Copyright Law. © 1989 by Dr. Dietrich Steinkopff Verlag GmbH & Co. KG, Darmstadt. Chemistry editor: Dr. Mafia Magdalena Nabbe; Copy editor: James Willis; Production: Holger Frey. Printed in Germany. The use of registered names, trademarks, etc. in this publication does not imply, even in the absence of specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting and printing: Hans Meister KG, Druck- und Verlagshaus, Kassel ecaferP In ,8891 the yearly meeting thoef European Col- Interfaces, D. Structure and Stability of Colloids, loid and Interface Society was (ECIS) held in Arca- and, .E Theoretical Studies of Colloids. chon, France, from the 19th to the 22rid of Septem- ber. The first such meeting took place in Como, On beohfa lf ECIS, we would like to thank all the Italy, in ,7891 and was attented by 031 participants participants for their contributions and for their ve- coming from 71 European countries. The Arca- ry stimulating discussions, all along the meeting; chon meeting welcomed 022 scientists from -la the memberosf the Scientific Committee: .L Bur- most all European countries and from North Ame- lamacchi, .B Jonsson, H. Lekkerkerker, .E Sack- rica. This increase in participants shows the good mann and Th. Tadros who helped usf or the prepa- healths of our still young society. ration of the scientific program; our colleagues from the Centre de Recherche (CNRS) Pascal Paul About 04 oral communications and 031 poster for their collaboration in the organization of the presentations were given in Arcachon. Thper esent 8891 meeting, and all the generous meeting spon- volume collects full papers taken from communi- sors. cations and posters. This volume is arbitrarily di- vided into 5 sections: A. Colloids of Biological Interest, .B Colloids of Pierre Bothorel Industrial Interest, .C Wetting, Adsorption and Erick .J Dufourc stnetnoC VII stnetnoC Preface ................................................................................................... V A. Colloids of biological interest Dimitrov DS, Doinov P: Dielectrophoresis, instability, and electrofusion in membrane systems ..................... 1 Duwe HP, Zeman K, Sackmann E: Bending undulations of lipid bilayerasn d the red blood cell membrane: A comparative study ................................................................................................... 6 Faucon JF, M616ard ,P Mitov MD, Bivas I, Bothorel P: Thermal fluctuations of giant vesicles and elastic properties ofbilayer lipid membranes. The role of the excess surface ............................................................ 11 Genot C, Guillet S, Metro B: Rheological properties of gelatin gels filled with phospholipids vesicles. Dynamic and uniaxial compression measurements ............................................................................... 81 Ivanova T, Georgiev G, Panaiotov I, Ivanova M, Launois-Surpas MA, Proust JE, Puisieux F: Behavior of liposomes pre- pared from lung surfactant analogues and spread at the air-water interface ..................................... 24 Laggner ,P Kriechbaum M, Hermetter A, Paltauf F, Hendrix J, Rapp G: Laser-induced temperature jump and time-resolved x-ray powder diffraction on phospholipid phase transitions ................................................... 33 Laroche G, P6zolet M, Dufourcq J, Dufourc E J: Modifications of the structure and dynamics of dimyristoylphosphatidic acid model membranes by calcium ions and poly-L-lysines ................................................... 38 Lo Nostro ,P Niccolai A, Gabrielli G: Lipid mixtures in monolayer and BLM ..................................... 34 Masson G: Characterization of small lipid vesicles prepared by microfluidization ................................. 49 Puggelli M, Gabrielli G, Domini C: Mixed monolayers of two polypeptides at the water/air interface ............... 52 Quiquampoix H, Chassin ,P Ratcliffe RG: Enzyme activity and cation exchange as tools for the study of the conformation of proteins adsorbed on mineral surfaces ..................................................................... 95 Salcedo J, Delgado A, Gonz~lez-Caballero F: Electrokinetic and stability properties of cholesterol in aqueous NaC1 and NaC1 + bile salt solutions ................................................................................ 64 Solans C, Infante N, W~irnheim T: Phase behavior of cationic lipoaminoacid surfactant systems .................... 70 Saint-Pierre-Chazalet M, Billoudet F, Pileni MP: Cytochrome c monolayer and mixed surfactant-cytochrome c monolayer 76 Terech P: Orientation of rods formed bayg gregated surfactants in organic media: the steroid-cyclohexane physical gel case 18 Xenakis A, Valis TP, Kolisis FN: Use of microemulsion systems as media for heterogeneous enzymic catalysis ....... 88 B. Colloids of industrial interest Charmot D: Preparation of monodisperse, magnetizable, composite metal/polymer microspheres ................... 94 Kriechbaum M, Degovics G, Tritthart J, Laggner P: Fractal structure of Portland cement paste during age herdening analyzed by small-angle x-ray scattering .................................................................... 101 Poirier JE, Bourrel M, Castillo ,P Chambu C, Kbala M: Asphalt emulsions: experimental study of the cationic surfactant adsorption at the asphalt-water interface .................................................................... 601 Quemada D: An overview of recent results on rheology of concentrated colloidal dispersions ...................... 211 Tadros ThF: Correlation of viscoelastic properties of concentrated dispersions with their interparticle interaction ..... 021 Tourinho F, Franck R, Massart R, Perzynski R: Synthesis and magnetic properties of manganese and cobalt ferrite ferro- fluids ................................................................................................... 821 C. Wetting, adsorption and interfaces Bennis K, Martinet ,P Schuhmann D, Vanel P: Adsorption of cetyltrimethyl ammonium at the free surface and at the mercury electrode ....................................................................................... 531 Bracke M, De Voeght F, Joos P: The kinetics of wetting: the dynamic contact angle ............................... 241 Djafer M, Lamy I, Terce M: Interaction of metallic cations with the hydrous goethite (g-FeOOH) surface ........... 051 Earnshaw JC, McLaughlin AC: The surface viscoelasticity of surfactant solutions and high frequency capillary waves. 551 Earnshaw JC, Robinson D J: Aggregation in interfacial colloidal systems ......................................... 261 Gurfein ,V Perrot F, Beysens D: Stability of silica colloids and wetting transitions ................................. 761 Ilmain F, Candau S J: Quasi-elastic light scattering study of poly(acrylic acid) networks swollen with water ........... 271 Meunier J, Binks BP: Measurement of the bending elasticity of a monolayer: ellipsometry and reflectivity ........... 871 SureshK A, Nittmann J, Rondelez F: Pattern growthd uringt hel iquid expanded-liquid condensed phase transition inL ang- muir monolayers of myristic acid .......................................................................... 481 VIII stnetnoC Varoqui R, Pefferkorn E: Experimental and theoretical aspects on cluster size distribution of latex particlfelso cculating in presence of electrolytes and water soluble polymers ......................................................... 491 D. Structure and stability of colloids Aveyard R, Binks ,PB Clark S, Fletcher PDI: Aggregation and adsorption behavior in nonionic surfactant/oil/water systems 202 Binks ,PB Meunier J, Langevin D: Characteristic sizes, film rigidity and interracial tensions in microemulsion systems 208 Cazianis CT, Xenakis A: Different spin probe positions related to structural changes of nonionic microemulsions .... 214 Chittofrati A, Lenti D, Sanguineti A, Visca M, Gambi CMC, Senatra D, Zhou Z: Perfluoropolyether microemulsions. 218 Gazeau D, Bellocq AM, Roux D, Zemb T: Experimental evidence for bicontinuous structures in 3L phases .......... 226 Kalus J, Hoffmann H, Lindner P: Small-angle neutron scattering experiments of micellar solutions under shear ...... 233 Lerebours B, Perly B, Pileni MP: Polymerization of cetyltrimethylammonium methacrylate directe micelles .......... 239 Malliaris A: Microviscosities in alkane/surfactant ionic micelles ................................................. 244 Messier A, Schorsch G, Rouviere J, Tenebre L: On certain solved and unsolved problems with water/PDMS/surfactant systems ................................................................. : ............................... 249 Paillette M, Belhadj-Tahar N: Interracial charges manifestations: Kerr and dielectric relaxation studies in a microemulsion system ................................................................................................. 257 Peyrelasse J, Boned C, Saidi "Z Percolation phenomenon in waterless microemulsions ............................ 263 Philipse AP, Vrij A: Non-aqueous silica dispersions. Charged particle interactions studied by scattering of light ....... 270 Ravey JC, Gherbi A, St6b6 MJ: Fluorinated and hydrogenated nonionics in aqueous mixed systems ................ 272 Rouch J, SafouaneA , Tartaglia ,P Chen SH: The critical region of water-in-oil microemulsions: new light scattering results 279 Smits C, Briels W J, Dhont JKG, Lekkerkerker HNW: Influence of the stabilizing coating on the rate of crystallization of colloidal systems ........................................................................................ 287 Te~ak D, Popovi6 S, Heimer S, Strajnar F: Liquid crystallinity in metal ion - dodecylbenzenesulfonate systems: x-ray diffraction characterization ................................................................................ 392 Thunig C, Hoffmann H, Platz G: Iridescent colours in surfactant solutions ....................................... 297 E. Theoretical studies of colloids Filipovi6-VincekoNv,i 6 Skrti6 D: Interactions between surfactant ions of opposite charge .......................... 308 Nallet F, Roux D; Prost J: Dynamic light scattering study of membrane interactions in colloidals mectics ............ 313 Prochaska K, Szymanowski J: Interfacial activity of 1-(2'-hydroxy-5'-methylphenyl)-octane-l-one oxime and the interfacial mechanism of copper extraction ........................................................................... 123 Prochaska K, Alejski K, Szymanowski J: Polynomial approximation of interfacial tension isotherms and its use fork inetic data interpretation of metal extraction ...................................................................... 327 Regnaut C, Ravey JC: Analysis of the adhesive sphere fluid as a reference model for colloidal suspensions .......... 332 Schuhmann D: Some thermodynamic models of progressive' micellization, shape of the surface pressure curves, and pre- dictions on the distribution of intermediate aggregates ....................................................... 338 ~krti6 D, Filipovi6-VincNe:k ovi6 Crystallization of calciumo xalatien the presence of sodium dodecyl sulphate. Quantita- tive assessment of the effect of the surfactant on crystal growth and aggregation ................................ 543 Author Index .............................................................................................. 353 Subje~ Index .............................................................................................. 354 Progress in Colloid & Polymer Science rgorP diolloC myloP icS 79:1-5 )9891( .A Colloids of biological interest Dielectrophoresis, instability, and electrofusion in membrane systems D. .S Dimitrov and .P Doinov Central Laboratory of Biophysics, Bulgarian Academy of Bulgaria Sofia, Sciences, :tcartsbA An approach which si based on knowledge from the chemistry colloid of sur- faces and thin presented. is films It si useful for understanding the mechanisms of mem- approach, brane instability, and as well as fusion, for optimization of electrofusion. cell It focuses on the use of fields electric external to induce membrane approach (by dielectro- phoresis), instability (by electroporation), reversible and fusion. Experimental data for processes these and discussed. are explanations theoretical possible The conclusions basic are: )1 methods and results from thin-film dynamics combined with laws of membrane motion and deformation induced by useful be can fields electric external for understand- mechanisms ing of membrane electrofusion and fusion in general; )2 be can electrofusion optimized by measuring cell polarizability by dielectrophoresis thea nd voltage critical of electroporation reversible of membranes. :sdro wyeK Dielectrophoresis, ,ytilibatsni_ electrofusion, i0rotoplasts, .semosopil_ noitcudortnI liquid/liquid interfaces and membranes. However, several between essential differences interfaces single In chemistry, the colloid phenomena of aggregation and membranes should be taken into account: and coalescence of particles, bubbles, solid and drops are mainly investigated on the basis of principles of )1 The intermembrane interactions, which are the physical chemistry of surfaces and thin films. It has driving forces of membranes adhesion and fusion, been shown that the specific thermodynamic and may different be from those for elgnis While interfaces. dynamic properties of the films, liquid thin formed be- the electrostatic and hydration forces depend mainly tween determine largely the approaching the surfaces, on the type of the surface atnhde between film liquid aggregation and particular, in coalescence, the kinetics them, the dvearn depend interaction also forces Waals of approach of deformable bubbles and drops and sta- on the membrane material and thickness and can be bility of thin-liquid films [1-3]. quite different from those for parti- in liquid surfaces, The theoretical and experimental results for colloid cular with respect to the dependence functional on the systems in most cases cannot be used directly to de- separation distance; 2) the membranes be can perme- scribe the biological complex membrane systems. The able thfeo r solution between them, inter- while single basic physicochemical approaches and results from face are not. The effect of membrane hydraulic per- that work may prove useful if combined witkhn owl- increase strongly can meability the rate of approach; )3 edge of the specific physicochemical properties of the membrane liquid immobile, tangentially while are membranes. It has been proposed that the kinetics of surfaces are mobile. Adding surfactants can decrease membrane adhesion and fusion can follow the basic and mobility tangential almost stop the of inter- liquid stages of aggregation and coalescence of bubbles and faces; )4 the membrane depends tension on membrane drops [2-7]. This may be true at least because of the area changes while liquid surface tension does not. very similar, in identical, equations some cases which However, when surfactants are adsorbed onto the describes the approach of tangentially immobile interface the tension surface depends oanr ea change; 2 ssergorP in Colloid and Polymer ,ecneicS LoV 79 )9891( )5 equilibrium deformations of membranes are de- ters of the external constraints and the systems have scribed by membrane tension, shear elasticity, bend- been found empirically. ing elasticity, and osmotic effects due to volume This paper discusses some of our recent work, and changes, while those of liquid intearrfea ces character- tries tmoa ke use of knowledge from colloid chemistry ized only by surface tension. In many cases only the to explain and optimize some processes of motion and effect of membrane tension is important and then, fusion in membrane systems. mathematically, this case is identical to the case of a single interface; the surface tension should be replaced The model by the membrane tension; 6) cell membranes have complex structure, characterized by lateral and trans- Motion of membranes leading to fusion can bes plit membrainneh omogeneity, and geometry where ener- into four main stages: )1 continuous approacho f two gy-consuming processes (active membrane motions, membranes; 2) destabilization of the membrane sys- villi formation, etc.) are dominant, unlike the case of tem, which can result in rupture of the intervening "non-living" interface. liquid film, bending of the membranes, rupture of the Membrane fusion requires close approach and de- membranes or rupture of the film atnhde membranes; stabilization [8]. In electrofusion [9], the membrane 3) membrane fusion itself, and 4) post-fusion pheno- contact is achieved by dielectrophoresis atnhde desta- mena such as expansion of the liquid film betweetnh e bilization is induced by DC pulses. The basic advan- membranes and membrane shapree laxation. It is rea- tage of the physical methods, in particular, of the elec- lized that some of the stages may not exist or may tric fields, over conventional ones, e.g., by using che- ocicnu r a different way. In addition, this consideration micals, is the possibility for fast control of the entire seems to ignore molecular mechanisms. The pheno- process. This is due mainly to the much higher speed menological approach has the basic advantage that the of propagation of the electric field than that of the theoretical formulae are functions of macroscopic diffusion of chemical substances. Dielectrophoresis is quantities (membrane tension, viscosity, etc.), which motion of particles in non-homogeneous AC fields can be measurede xperimentally and it is valid for any [10]. It arises because of the interaction of the exter- particular molecular mechanism. nal electric field with the dipoles due to particle, The total time of the fusion-process is the sum theo f polarization induced by the field. At close approach times for the separate stages. The duration of the the induced dipoles interact with each other. Actually, membrane fusion itself 3), (stage which is due to rather this mutual interaction attaches the particles to fast molecular rearrangements, is commonly very each other and overcomes the repulsion forces. The short. The durations otfh e other three stages can be electric-field-induced membrane destabilization is approximately described by the solution of the follow- due to the transmembrane potential and surface ingn on-linear, partial differential equation [2]: tangential stresses which tend to decrease the thick- [H3(OPlar)ll2u] )1( ness of the membrane and increase its area. When the OHlOt + 2Lp = V electric forces overcome the elastic and viscous resistance of the membrane material, the membrane p + ~p + FI (H) = BA2H/2 - TAH/2. (2) can break, which results, in many cases, in pore forma- tion. The destabilized membranes fuse at close In the case of axisymmetric approach V =. r- 1 + alar approach. The membrane shape changes. The cell and A = v(alar), r being the radial coordinate. Here protoplasm intermingles. The cells spherize to form H(r, t) is the local separation of the membranes, the fmal product - the cell hybrid (in case of cell t - time, L- hydraulic permeability of the mem- fusion). Similar processes may occur with othmeerm - branes,/a - liquid viscosity, p - dynamic pressure in brane systems. the liquid between the membranes, T - membrane Consequently, cell electrofusion, dielectrophoresis, tension, - B membrane bending elasticity modulus,/-/ membrane instability, in particular electroporation, - disjoining pressure, eP -equilibrium pressure in the are strongly interrelated, at the least because of the liquid. These equations should be combined with similar physiochemical mechanisms. The basic physi- appropriate boundary conditions. The mathematical cal phenomena involved in these processes are known difficulties arise from the highlyn on-linear equation in principal. However, due to the complexity of the bi- .)1( We will use several simple solutions ftohre case of ological systems, in most cases the optimum parame- spherical membranes, modeling, e.g., cells and lipo- Dirnitrov and Doinov, Cell dielectrophoresis and electrofusion 3 somes. We will focus on cases where the driving force where the electric fields are applied in a four-electrode for membrane approach is due to external electric chamber [13]. By measuring the cell velocity v as a fields as is in dielectrophoresis. function of the applied voltage and the separation dis- tance one can obtain the values of the coefficients a and siserohportceleiD Ke. A typical value for pea protoplasts (radius 51 tim, in 0.5 M mannitol solution, medium viscosity- 1.41. By solving Eq. )1( for the case of very small separa- mPa s, • conductivity - 0.47 mS/m, temperature - tions between the membranes [2] it was shown that 20 °C, frequency- 1 MHz) is Ke = .011 Polarizabilities the rate of approach v = - dh/dt (h = H(r = 0)) fol- for protoplasts and other cells at different conditions lows the Reynolds formula are summarized and presented in [14]. One thoef bas- ic conclusions is that in the radio frequency range most V = VRe = 2Fh3/3n~R . 4 )3( of the living cells behave as highly conductive spheres and the dielectrophoretic force cF (Eq. (6)) can be esti- R is the radius of membrane contact and F - driving mated by assuming the net cell polarizability eK of the force. When the separation is large, the Taylor formula order of the relative permitivity of the surrounding can be used medium (for water solutions of the order of I0 to .)001 This rule is also valid for determination of the interac- V = VTa = Fh[6 rcttR 2 , )4( tion force i F [15]. In this case, however, the force be- tween two conducting spheres is given by a complicat- ~P being the cell radius. An interpolation formula ]21[ ed expression, which can be evaluated only numeri- describes the rate of approach at arbitrary separations cally [15]. Rather simple approximate formula can be written in the form (5) V = i P = Vst VTa VRe/(Vst + ETa ) (VTa + VRe ) Fi = pF 1( + Ah-1), (8) where the Stokes rate is Vst = F/6 rqaP~. The driving force due to dielectrophoresis is com- where the constant A is of the order of 01 mzI for pea monly given by ]01[ protoplasts of 51 mt.I radius [15]. The expressions for the driving dielectrophoretic F = pF = 2 EV~Ko¢~R~ 2 = - aVE2~2 (6) force also allow us to estimate the radius of membrane contact R by using a formula derived by solving Eq. )1( where 0e is the permitivity of the free space Ke - effec- [2] tive net polarizability of the cell, E - electric field in- tensity, and a - polarizability coefficient [12]. At close 2 R = FP~/2 rtT, (9) approach the dielectrophoretic force strongly increase due to the interaction between the induced dipoles. which is a modification of the well-known Deryaguin- Then one must use more general formula Kussakov expression for the equilibrium radius of bubble to solid surface contact. For typical values of F=Fp i + F (7) the electric field intensity (E = l0 s V/m and VE = 901 V/m [14]) and T = 1.0 mN/m Eq. )9( gives contact where Fi is the additional force due to induced electric radii of the order of I tim for protoplasts (radii of the interactions. The combination of Eqs. )5( and (7) order of 01 ~m) which is the value observed experi- allows the calculation of the rate of approach for arbi- mentally [16]. Liposomes which have internal con- trary separations and, respectively, the time of ductivity lower than that oft he external medium do approach until the establishment of the membrane not show positive dielectrophoresis and are not contact. In order to do that we need the experimental attracted to protoplasts by mutual dielectrophoresis values of the polarizability coefficients (a) and the in- [17]. Therefore, in this case dielectrophoresis is not an teraction force effective method to collect cells and liposomes for the F i. We constructed an assay for single cell dielectro- purposes of electrofusion. phoresis, where a cylindrically symmetrical field is The basic conclusion from our experimental results created between two concentric electrodes [12]. on dielectrophoresis and this consideration is that Recentlyw e developed a more sophisticated method there arfer equencies (commonly in the ratio frequen- 4 ssergorP in Colloid and Polymer ,ecneicS LoV 79 (1989) cy range) and medium conductivities for each type of The results for membrane breakdowfnr om the previ- cell where the polarizability coefficients are maximal. ous section can be used tom ake the following conclu- The electrofusion should be carried out at those condi- sions about how to get better fusion: )1 the applied vol- tions in order to ensure minimal times of approach and tage should be of the order of or higher than the critical maximal area of contact. voltage of reversible breakdown; 2) the pulse duration should be rather short, and 3) in some cases making the medium slightly hypotonic can facilitate the Electrically induced membrane instability fusion. However, larger membrane tensions, i.e., lar- We developed theoretical models for electrical ger osmotic forces, can decrease the contact area (see breakdown of membranes [6, 7, ,81 ]91 which are in Eq. (9)) and hinder the fusion. agreement, at least qualitatively, with available experi- Recently, by electrofusion we produced hybrido- mental data [20-22]. The calculation of the critical mas which secreted monoclonal antibodies against the thickness of rupture ]6[ of the film between two Hc antigene of salmonella [24]. We also succeeded to approaching membranes showed [23] that the dielec- fuse whole fragile yeast mutants with protoplasts of trophoretic force is small to induce instability. There- non-fragile yeasts [25]. In all these experiments the fore, we can expect that the membranes andt he film time of dielectrophoresis was ketpot a minimum, e.g., between them are destabilized during the high voltage not longer than 2 min, which corresponds ttoht eh eo- DC pulse. Two basic conclusions of importance for retical estimations by the formula for the rate of electrofusion are: mutual approach of cells (Eq. (5)). The fusing voltage )1 Formation of pores depends on the applied vol- was higher than that for breakdown. The highest tage and duration of exposure to the field. Higher vol- yields were obtained when the number of pulses was 2 tages should be applied for shorter times to induce or 3; this could be due to viscous effects in the film and reversible breakdown anfdo rmation of pores. Apply- membrane shape relaxations, which take time. ing the field for longer periods of time leads to irrever- For getting high yields with the electrofusion tech- sible breakdown and in many cases to cell death. The nique it is especially important to have the right arran- heat generation is proportional to the square of the gements of the electrodes and the appropriate cham- applied voltage and the time of exposure. However, ber to place them in. For biotechnologpiucraplo ses, the time of breakdown is inversely proportional to the i.e., for production of viable hybrids on a larger scale, difference of the square of the applied voltage and its the helical chamber is good [26]. We constructed sev- valcurei.t ical Therefore, when the applied voltages are eral types of chambers which can also be used for fun- near to the critical value, the heat generation will be damental research, not only of biomembrane systems, large because the pulse duratmiuosnt be long. Increas- but also of colloid systems - and in some cases for the intgh e voltage to get breakdown leads to decrease of purposes of practice: the heat generation. )1 The cylindrical chamber [12] was used for dielec- 2) The breakdown voltage depends on the mem- trophoretic measurements. The basic advantage of this brane tension, respectively on the osmolarity of the chamber for fusion experiments is that the distribution medium. Decreasing the solution osmolarity leads to of the electric field is known. A number of studies were decrease of the breakdown voltage. Our experimental performed with this chamber [27-31]; 2) sputtered results [21] showed that decreasing the tonicity of the metal on glass surfaces which form very thin elec- medium leads to a very sharp decrease of the break- trodes; electrodes of different shapes were tested. The down voltage in the regnieoanr to the isotonic condi- basic hope for these chambers is that they can ensure tions. The further decrease of the tonicity does not very specific cell fusion; the yield is not high and it is change the breakdown voltage, much further. difficuk to clean the electrodes without damaging them. 3) Plane-parallel chambers: in this case the two electrodes are flat and parallel to each other. The basic Hectrofusion advantage of this chamber is that the field is homoge- It was foundt hat the functiondaelp endence of the neous atnhde cells approach each other by mutual die- fusing voltage on the pulse duration for pea protoplasts lectrophoresis, i.e., the damaging field is effectively correlates strongly to that for their electrical break- decreased; 4) the four-electrode chamber is [13] multi- down [22]. This helps in choosing the most appropri- functiiotn al: can serve for electrofusion and electropo- ate parameters of the electrical field for effective fusion. ration in homogeneous and non-homogeneous fields,

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