Synthesis and characterization of new micrometer-sized radiopaque polymeric particles of narrow size distribution by a single-step swelling of uniform polystyrene template microspheres for X-ray imaging applications

Radiopaque micron-sized non-cross-linked polystyrene/poly(2-methacryloyloxyethyl(2,3,5-triiodobenzoate)) particles of narrow size distribution were prepared by a single-step swelling of uniform polystyrene template microspheres with emulsion droplets of methylene chloride containing the initiator benzoyl peroxide and the iodinated monomer 2-methacryloyloxyethyl(2,3,5-triiodobenzoate), followed by the polymerization of the monomer within the swollen template particles at 73 degrees C. Radiopaque micron-sized uniform cross-linked polystyrene/poly(2-methacryloyloxyethyl(2,3,5-triiodobenzoate)-divinylbenzene) composite particles were prepared similarly with emulsion droplets of methylene chloride containing divinylbenzene, in addition to the initiator and the iodinated monomer. Radiopaque micron-sized uniform cross-linked poly(2-methacryloyloxyethyl(2,3,5-triiodobenzoate)-divinylbenzene) particles were formed by dissolving the template polystyrene polymer belonging to the former cross-linked composite particles. Characterization of these novel radiopaque polymeric particles was performed by methods such as FTIR, TGA, DSC, SEM, XPS, elemental analysis, and light microscopy. The influence of the weight ratio [2-methacryloyloxyethyl(2,3,5-triiodobenzoate)]/[polystyrene] and [2-methacryloyloxyethyl(2,3,5-triiodobenzoate)]/[divinylbenzene] on the bulk and surface properties of the non-cross-linked and cross-linked particles, respectively was elucidated. The radiopacity of these iodinated particles was demonstrated by an imaging technique based on X-ray absorption usually used in hospitals. These novel radiopaque particles may be used for different X-ray imaging needs, e.g., blood pool, body organs, embolization, dental composition, implants, protheses, and nanocomposites.     

Grafting of oligosaccharides onto synthetic polymer colloids

A new method to form colloidally stable oligosaccharide-grafted synthetic polymer particles has been developed. The oligosaccharides, of weight-average degree of polymerization approximately 38, were obtained by enzymatic debranching of amylopectin. Through the use of a cerium(IV)-based redox initiation process, oligosaccharide chains are grafted onto a synthetic polymer colloid comprising electrostatically stabilized poly(methyl methacrylate) or polystyrene latex particles swollen with methyl methacrylate monomer. Ce(IV) creates a radical species on these oligosaccharides, which then propagates, initially with aqueous-phase monomer, then with the methyl methacrylate monomer inside the particles. Ultracentrifugation, NMR, and total starch analyses together prove that the grafting process has occurred, with at least 7.7 wt % starch grafted and a grafting efficiency of 33%. The surfactant used in latex preparation was removed by dialysis, resulting in particles colloidally stabilized with only linear starch as a steric stabilizer. The debranched starch that comprises these oligosaccharides is found to be a remarkably effective colloidal stabilizer, albeit at low electrolyte concentration, stabilizing particles with very sparse surface coverage.     

Design of polypeptide-functionalized polystyrene microspheres

In this contribution, the principle of spontaneous surface segregation has been applied for the preparation of polypeptide-functionalized polystyrene microspheres. For that purpose, an amphiphilic diblock copolymer was introduced in the mixture styrene/divinylbenzene and polymerized using AIBN as initiator. During the polymerization, cross-linked particles were obtained in which the diblock copolymer was encapsulated. The amphiphilic diblock copolymers used throughout this study contain a hydrophilic polypeptide segment, either poly(L-lysine) or poly(L-glutamic acid) and a hydrophobic polystyrene block. After 4 h of polymerization, rather monodisperse particles with sizes of approximately 3-4 microm were obtained. Upon annealing in hot water, the hydrophilic polypeptides migrate to the interface, hence, either positively charged or neutral particles were obtained when poly(L-lysine) is revealed at the surface and exposed to acidic or basic pH, respectively. On the opposite, negatively charged particles were achieved in basic pH water by using poly(L-glutamic acid) as additive. The surface chemical composition was modified by changing the environment of the particles. Thus, exposure in toluene provoked a surface rearrangement, and due to its affinity, the polystyrene block reorients toward the interface.     

Latex particles with thermo-flocculation and magnetic properties for immobilization of alpha-chymotrypsin

Core-shell-type latex particles composed of styrene, N-isopropylacrylamide (NIPAAm), and N-acryloxysuccinimide (NAS) were synthesized by surfactant-free emulsion polymerization. The latex particles show thermo-flocculation behavior due to the presence of temperature-sensitive monomer NIPAAm and could be used for immobilization of alpha-chymotrypsin through covalent bonding with the reactive ester groups of NAS. Enzyme recycle could be accomplished in this immobilized enzyme system by sedimentation of the thermo-flocculated latex particles in 20 min at 30 degrees C by raising the salt (NaCl) concentration to 0.5 M. To further enhance the sedimentation rate, ultrafine magnetite particles were prepared and included during polymerization to produce magnetic temperature-sensitive latex particles (MTLP), which could be recovered 6 times faster after thermo-flocculation by applying a low magnetic field. However, a higher salt concentration was necessary to flocculate the MTLP under the same condition as a result of its increased surface hydrophilicity, which originates from different polymerization conditions and the incorporation of magnetite. The immobilized enzyme shows high activity even against macromolecular substrates (hemoglobin and casein) owing to limited diffusion resistance, with full activity retention for nonmagnetic latex but one-half reduction in activity if the magnetic property was introduced. Optimal enzyme immobilization pH and enzyme loading were determined, and properties of the immobilized enzyme were characterized. The immobilized enzyme was used in 10 repeated batch hydrolyses of casein with successive flocculation/dispersion cycles and showed less than 15% activity decrease at the end. Overall, introducing the magnetic property to the latex could effectively enhance the solid-liquid separation rate after thermo-flocculation and maintain enzyme activity after repeated use but adversely influence the activity of the immobilized enzyme.     

Separation of ursodeoxycholic acid from its isomeric mixture using core–shell molecular imprinting polymer

In order to separate ursodeoxycholic acid (UDCA) from its isomeric mixture, the molecular imprinting polymers (MIPs) were synthesized by using core–shell emulsion polymerization. In the porous imprinting polymer, ursodeoxycholic acid was used as imprinting molecule, acrylamide (AM) and α-methacrylic acid (MAA) were functional monomers, and CaCO₃ was used for the porogen in the polymerization to obtain large pore. Characterization of the MIP structure with IR spectra demonstrated the expected MIPs. Through adsorption and selectivity assays, AM as the functional monomer showed better separation efficiency than MAA, and nonspecific and specific adsorption capacities of MIP with AM were 43.52 and 13.93 mg/g, respectively. The separation factor of MIP with AM for UDCA was 2.20. Furthermore, MIP with AM could be applied to separate UDCA from the isomeric mixture by column chromatography successfully.     

Development and application of thermo-sensitive immunomicrospheres for antibody purification

The latex particles composed of poly(styrene/N-isopropylacrylamide/glycidyl methacrylate) [P(St/NIPAM/GMA)] and poly(styrene/N-isopropylacrylamide/methacrylic acid) [P(St/NIPAM/MAA)] were prepared by emulsifier-free emulsion polymerization. These latex particles with submicrometer size showed the thermosensitivity originated from the thermo-sensitive nature of NIPAM. That is, the minimum NaCI concentration for flocculation of these latex particles [critical flocculation concentration (CFC)] decreased significantly with increasing temperature and reached constant values at above the critical temperature [critical flocculation temperature (CFT)]. At a certain NaCl concentration, the thermo-sensitive latex particles were flocculated by raising temperature, and conversely, the flocculated thermo-sensitive latex particles were completely dispersed by lowering temperature. Bovine serum albumin (BSA) was covalently immobilized onto the P(St/NIPAM/GMA) and P(St/NIPAM/MMA) latex particles with high efficiency. The BSA-immobilized P(St/NIPAM/GMA) and P(St/NIPAM/MAA) latex particles (immunomicrospheres) showed the similar dependencies of CFC on temperature to the bare latex particles. These thermo-sensitive immunomicrospheres were successfully used for the immunoaffinity purification of anti-BSA antibodies from antiserum. (c) 1994 John Wiley & Sons, Inc.     

Development and application of thermo-sensitive magnetic immunomicrospheres for antibody purification

Ultrafine magnetite particles were prepared by a co-precipitation method. The poly-(styrene/N-isopropylacrylamide/methacrylic acid) latex particles containing ultrafine magnetite [magnetic P(St/NIPAM/MAA)] were prepared by two-step emulsifier-free emulsion polymerization. The minimum NaCl concentration for flocculation of these magnetic latex particles (critical flocculation concentration, CFC) decreased with increasing temperature. These temperature dependence of CFC, namely its thermo-sensitivity, originated from NIPAM. At a certain NaCl concentration, some of the magnetic latex particles showed reversible transition between flocculation and dispersion by controlling the temperature, and the thermo-flocculated magnetic latex particles were separated quickly in a magnetic field. Bovine serum albumin (BSA) was covalently immobilized onto the magnetic P(St/NIPAM/MAA) latex particles with high efficiency by the carbodiimide method. These thermo-sensitive magnetic immunomicrospheres were effective for the immunoaffinity purification of anti-BSA antibodies from antiserum.Correspondence to: A. Kondo     

Use of a novel affinity tag selected with a bacterial random peptide library for improving activity retention of glutathione S-transferase adsorbed on a polystyrene surface

Aiming at developing a novel affinity tag for site-specific immobilization of functional proteins onto polystyrene (PS) surfaces, Escherichia coli random peptide display library was screened for dodecapeptides exhibiting a high affinity toward PS plates. The selected peptides were commonly rich in hydrophobic amino acid residues and had two or three basic amino acid residues. Adsorption and desorption experiments for one of the selected peptide named PS1 (KGLRGWREMISL) showed that it was well and irreversibly adsorbed onto PS latex particles. To study its performance as an affinity tag, PS1 was genetically fused to a model enzyme, glutathione S-transferase (GST), in several manners, and the fusion enzymes were compared to the original GST in terms of the adsorption behavior onto the PS latex particles as well as the specific activities before and after the adsorption. The fusion GSTs in solution showed lower specific activities than the original one, and their adsorption behaviors were also altered. In particular, the fusion of PS1 to the N-terminal region of GST resulted in severe losses both in the specific activity and in the adsorptive ability. However, two types of GSTs fused with PS1 at the C-terminal region were well adsorbed onto the PS latex particles, and their specific activities after the adsorption were significantly higher than the original GST adsorbed on the PS latex particles. The fusion of PS1 to the C-terminal region of GST was thus shown to reduce the activity loss upon the adsorption onto the PS latex particles.     

Preparation of cassava starch grafted with polystyrene by suspension polymerization

Cassava starch grafted with polystyrene (PS-g-starch) copolymer was synthesized via free-radical polymerization of styrene by using suspension polymerization technique. Potassium persulfate (PPS) was used as an initiator and water was used as a medium. The graft copolymer was characterized by Fourier transform infrared spectroscopy, differential scanning calorimetry, thermal gravimetric analysis, X-ray diffraction and scanning electron microscopy. The sub-micron spherical beads of PS were observed on the surface of starch granules. SEM micrographs showed porous patches of PS adhering on the starch granules after Soxhlet extraction. FTIR spectra also indicated the presence of PS-g-starch copolymer. XRD analysis exhibited insignificant changes in crystalline structure and degree of crystallinity. The effects of starch:styrene weight ratio, amount of PPS, reaction time and reaction temperature on the percentage of grafting – G (%), were investigated. G (%) increased with increasing starch content. Other variables showed their own individual optimal values. The optimum condition yielding 31.47% of G (%) was derived when the component ratio was 1:3 and reaction temperature and time were 50 °C and 2 h, respectively. Graft copolymerization did not change granular shape and crystallinity of starch. This study demonstrated the capability of polymerization of styrene monomer on the granular starch without emulsifier and the synthesis of graft copolymer without gelatinization of starch.     

The preparation of D-phenylalanine imprinted microbeads by a novel method of modified suspension polymerization

Molecularly imprinted polymeric microbeads (MIPMs) were prepared by the suspension and modified suspension polymerization methods using D-phenylalanine as the template, methacrylic acid as the functional monomer, ethylene glycol dimethacrylate as the cross-linker, toluene as the porogen, polyvinyl alcohol as the stabilizer, and sodium dodecyl sulfate as the surfactant. The addition of a surfactant to the conventional suspension polymerization mixture decreased the mean particle size of the MIPMs and increased the adsorption selectivity. For the modified suspension polymerization method, the mean particle size of the MIPMs was smaller than the particle size of MIPMs prepared via conventional suspension polymerization. Moreover, the adsorption selectivity improved considerably compared to the adsorption selectivities of MIPs reported previously.     

Exposure of platelet binding sites in von Willebrand factor by adsorption onto polystyrene latex particles

Von Willebrand factor molecules are flexible linear polymers composed of repeating protomeric polypeptide subunits. In the process of primary hemostasis, von Willebrand factor promotes platelet adhesion and platelet plug formation at the site of vascular injury. This biologic activity is apparently related to the multimeric size of von Willebrand factor. We simulated von Willebrand factor binding to the subendothelial surface by adsorbing purified human von Willebrand factor onto polystyrene latex particles of two different diameters, i.e., 0.312 μm and 2.02 μm. The rate and extent of ¹²⁵I-labeled von Willebrand factor binding to polystyrene was similar with both size classes of latex particles. The von Willebrand factor-coated latex beads of 2.02 μm diameter, in contrast to the smaller size, induced rapid agglutination of formalin-fixed human platelets in the absence of any other aggregating agent. Von Willebrand factor was also adsorbed from human plasma onto latex particles coated with anti-von Willebrand factor antibodies. Again, only the large beads, carrying the von Willebrand factor-antibody complex, induced agglutination of fixed platelets. Shear stress promoted the rate of von Willebrand factor adsorption to latex particles. Our results suggest that adsorption to surface exposes binding sites in human von Willebrand factor for platelets.     

High throughput particle analysis: combining dielectrophoretic particle focussing with confocal optical detection

A micro flow cytometer has been fabricated that detects and counts fluorescent particles flowing through a microchannel at high speed based upon their fluorescence emission intensity. Dielectrophoresis is used to continuously focus particles within the flowing fluid stream into the centre of the device, which is 40 microm high and 250 microm wide. The method ensures that all the particles pass through an interrogation region approximately 5 microm in diameter, which is created by focusing a beam of light into a spot. The functioning of the device was demonstrated by detecting and counting fluorescent latex particles at a rate of up to 250 particles/s. A mixture of three different populations of latex particle was used, each sub-population with a distinct level of fluorescent intensity. The device was evaluated by comparison with a conventional fluorescent activated cell sorter (FACS) and numerical simulation demonstrated that for 6 microm beads, and for this design of chip the theoretical throughput is of the order of 1000 particles/s (corresponding to a particle velocity of 10 mm s(-1)).     

Reversible immobilization of glucoamylase onto magnetic polystyrene beads with multifunctional groups

A novel and simple process for the surface functionalization of micron-sized monodisperse magnetic polystyrene (PS) microbeads was reported. The polystyrene seed particles were prepared prior to the dispersion polymerization method. Afterwards, series of surface chemical modifications on polystyrene microspheres were conducted, and three end-functional microspheres with carboxyl, imidazolyl and sulphydryl groups were obtained. The functional magnetic polystyrene microspheres were prepared by impregnation and subsequent precipitation of ferric and ferrous ions into the polystyrene particles. Finally, the functional magnetic polystyrene was used for the reversible immobilization of glucoamylase via metal-affinity adsorption. The results indicated that the obtained immobilized glucoamylase presented excellent reusability, applicability, magnetic response and regeneration of supports. The magnetic PS microspheres retained >65% of its initial activity at 65 °C over 6 h; and the lowest residual activity of immobilized glucoamylase prepared by regenerated supports still remained about 50% of the initial activity after the 10th cycles.     

Sequential adsorption of F(ab')(2) and BSA on negatively and positively charged polystyrene latexes

The aim of the present work is to study the sequential adsorption of F(ab')(2) and bovine serum albumin (BSA) molecules adsorbed onto positively and negatively charged polystyrene latexes. Cationic and anionic latexes were prepared by emulsifier-free emulsion polymerization. Adsorptions of F(ab')(2) on both latexes at a low ionic strength and different pHs were performed. The cationic latex showed a higher adsorption of F (ab')(2) molecules over a range of pH, which could be due to the formation of multilayers. Sequential adsorption of anti-CRP F(ab')(2) and monomeric BSA were performed at two different pre-adsorbed F(ab')(2) amounts on both types of latex. Displacement of F(ab')(2) occurred only when the preadsorbed amounts were larger than a certain critical value, which depends on the adsorption pH. A greater displacement of larger preadsorbed amounts might be the result of a weaker contact between the protein molecules and the polystyrene surface. The displacement of F(ab')(2) previously adsorbed onto both latexes occurred due to pH changes, an increase of ionic strength and the presence of BSA molecules. The effect caused by these three factors was studied independently. The main factors in the desorption of F(ab')(2) on the anionic latex are the changes in pH and ionic strength, whereas on the cationic latex the desorption is mainly caused by the increase of the ionic strength and the presence of BSA. The colloidal stability of the immunotatex was improved by BSA adsorption, especially on cationic latex. (c) 1995 John Wiley & Sons, Inc.     

Brownian motion of inert tracer macromolecules in polymerized and spontaneously bundled mixtures of actin and filamin

By use of light microscopy and fluorescence photobleaching recovery, we have studied (a) structures that form in a system composed of copolymerized rabbit muscle actin and chicken gizzard filamin and (b) the Brownian motion of inert tracer macromolecules in this matrix. We have used as tracers size-fractionated fluorescein-labeled ficoll and submicron polystyrene latex particles. In F-actin solutions, the relative diffusion coefficient of the tracer was a decreasing function of both tracer size and actin concentration. Also, a percolation transition for latex particle mobility was found to follow a form suggested by Ogston (Ogston, A. G. 1958. Trans. Faraday Soc. 54:1754-1757) for random filament matrices. The inclusion of filamin before polymerization resulted in increased tracer mobility. Below a filamin dimer-to-actin monomer ratio of 1:140, no structural features were observed in the light microscope. At or above this ratio for all actin concentrations tested, a three-dimensional network of filament bundles was clearly discriminated. Latex particles were always excluded from the bundles. By use of a dialysis optical cell in which polymerization could be initiated with very little hydrodynamic stress, we found that filamin can spontaneously bundle F-actin. A simple physical picture explains how dynamics can affect the structural result of coassembly and provides a further hypothesis on the balance between random filament cross-linking and large-scale bundling. Control of this balance may be important in cytoplasmic motile events.     

Adsorption of gamma-globulin, a model protein for antibody, on colloidal particles

The effect of surface properties on the adsorption of bovine gamma-globulin, a model protein for antibody, was studied. Polystyrene latex (PS), hydrophilic copolymer lattices of styrene/2-hydroxyethyl methacrylate [P(S/HEMA)], styrene/ methacrylic acid [P(S/MAA)] and methyl methacrylate/ 2-hydroxyethyl methacrylate [P(MMA/HEMA)], and colloidal silica were used. The adsorption isotherms of gamma-globulin on these colloidal particles were measured as a function of pH and ionic strength. The hydrophilic particles showed low affinities for gamma-globulin at alkaline pH, while PS showed high affinities for gamma-globulin over the whole range of pH and ionic strength. The gamma-globulin adsorption on hydrophilic particles was highly reversible with respect to the pH and ionic strength compared with that on PS. These differences indicate that the dominant driving forces of adsorption are related to the hydrophilicity of particles. The adsorption isotherms of all colloidal particles showed the plateau values, and the order of maximum values of plateau adsorption was P(S/MAA) > PS or P(S/HEMA), silica > P(MMA/HEMA). Thus, they were also affected by the charged groups and the hydrophilicity of the surfaces. On the other hand, the plateau values of all colloidal particles were more or less symmetrical with a maximum at around the isoelectric point of gamma-globulin at an ionic strength of 0.01. This behavior is attributed to the important role of the lateral interaction between the adsorbed molecules at low ionic strength.     

Electrophoresis of colloidal biological particles

Microscope electrophoresis was used to measure the electrophoretic mobility of polystyrene latex particles and bacterial, and mammalian tissue cells. The submicroscopic hydrophilic colloids (gelatin, serum albumin, and staphylococcal enterotoxin B) were adsorbed on latex carrier particles to determine their electrophoretic mobility and the effect of concentration, pH, electrolyte addition, and buffer ionic strength. Mobility curves as a function of pH were established for latex particles at 1 ppm concentration indicating an isoelectric point (IEP) at pH 3.6. The IEP for Escherichia coli B cells was measured at pH 2.8, Serratia marcescens at pH 2.6, Bacillus subtilis var. niger at pH 2.9, and L strain mouse fibroblast cells at pH 4.4. Using an adsorption technique, isoelectric points were measured for proteins: gelatin (acid form) at pH 9.4, serum albumin at pH 4.9, and staphylococcal enterotoxin B at pH 6.3. Procefures for examining electrophoretic characteristics of microscopic and submicroscopic biological particles are described in order to standardize procedures and to generate results applicable to an understanding of parameters influencing concentration and purification of colloidal biological particles.     

Recognition of target colloid species by conjugates of a linear polyelectrolyte with a vector protein

Redistribution reaction of quaternized poly-4-vinylpyridine polycations and their conjugates with alpha-chymotrypsin by oppositely charged latex particles is disclosed. The polycations are strongly adsorbed on the latex surface. Nevertheless, they are able to migrate between the latex species via occasional interparticle contacts. In the case of a homogeneous latex such interchange results in uniform distribution of polycations by latex particles. The distribution drastically changes, when alpha-chymotrypsin-polycation conjugates interact with a mixture of two latexes: one chemically modified by bovine serum albumin and the other one by specific protein inhibitor of alpha-chymotrypsin. In this case the interchanging polycations are finally fixed on the latex particles carrying the centres of specific binding of the enzyme vector, i.e. recognize them in the latex mixture. The obtained results are considered to mimic physico-chemical interaction and recognition of target supermolecular bio-objects by large macromolecules carrying relatively small molecular vectors.     

Glutathione depletion in isolated rat hepatocytes caused by styrene and the thermal degradation products of polystyrene

Depletion of reduced glutathione (GSH) was induced in isolated rat hepatocytes incubated with styrene or exposed for 120 min to products from oxidative thermal degradation of polystyrene. The depletion depended on the concentrations of styrene and on the degradation temperature. Styrene (1 mM) or products from degradation of polystyrene at 200°C (concentration of styrene in exposure atmosphere 0.7 ppm) had no detectable effect on glutathione levels in isolated hepatocytes. At higher degradation temperatures (250°C and 300°C, with styrene concentrations of 2.5 and 25 ppm, respectively) a rapid depletion was detected as well as with 3 mM styrene in incubation mixture. The latency of lactate dehydrogenase was affected neither by the polystyrene degradation products nor by the styrene added to the incubation mixture.     

Utilisation of controlled pore topology for the separation of bioparticles in a mixed-glass beads column

To study the flow of shaped particles in porous media, elution of spherical and rod-like micro-organisms was performed through beds of spherical glass beads. A 0.04 cm/s constant flow rate was used with 5 microm yeast suspensions, 1 microm latex micro-spheres and rod-like bacilli Lactobacillus bulgaricus 6 microm long and 0.5 microm in diameter. Yeast cells' diameter is close to the bacilli length and micro-spheres have the same diameter as bacilli. All particle types have similar density. To make the different packing beds, 1.125 mm coarse beads and 0.1115 mm fine beads were used. Experiments were carried out using a column loaded with the binary packing (volume fraction of coarse particles in the mixture 0.7) or a monosize packing with the same amount of coarse or fine particles as used in the binary packing. Analysis of experimental results was based on two models: pure exclusion effect and hydrodynamic separation model [hydrodynamic chromatography (HDC)]. Results for spheres show that the classic HDC model fits to the experimental data whenever the ratio of particle size to the pathway bend scale is high ( approximately 1/100, micro-spheres). However, if this ratio increases and becomes approximately 1/20, the HDC model needs to be corrected due to the effect of channel wall curvature on exclusion. This led to a modified HDC equation of the form R=B/(1+2lambda-2.8lambda(2)), where R is the retention, lambda is the aspect ratio and constant B>or=1. Bacillus separation follows an exclusion mechanism, since pore topology is important in the separation of shaped particles when the aspect ratio approaches lambda=0.1. In the case of a binary packing bed, rod-like particles display a different behaviour than the one exhibited by the spherical particles of the same scale as bacilli, either in length or in diameter. This may be explained by the interaction between rod-like bacilli and the bed's pore topology. A generalised exclusion model for particles was proposed to be R=A/(1-lambda)(z), where A is the coefficient proportional to the tortuosity and the parameter z=1, 2 or 3 depends mainly on pore shape. Controlled pore topology opens interesting applications for bio-separation (in porous micro-fluidic devices, deep bed filtration) and might be especially important for macromolecules and micro-organisms separation with different shapes.