A very sensitive enzyme-linked immunoabsorbent assay to Staphylococcal protein A in the presence of immunoglobulins

The production of recombinant hepatitis B virus surface antigen (rHBsAg) purified by immunoaffinity chromatography with monoclonal antibodies is used to obtain a vaccine against this virus. Monoclonal antibodies to rHBsAg from mouse ascites have been purified by Staphylococcal Protein A (SpA)--prior coupling to Sepharose CL-4B (Amersham-Bioscences, Uppsala, Sweden). A high sensitivity immunoassay has been developed for the quantification of part-per-million of SpA contaminants likely to co-purify with monoclonal antibodies obtained by Protein A affinity chromatography, in the presence of immunoglobulins. Specific sheep polyclonal Abs against SpA (SpAc1) were used as plate coating and the SpA detection was possible thanks to the conjugates of sheep Ab fragments F(ab)(2) (fSpAc1) and horseradish peroxidase (fSpAc1-peroxidase), reducing the possible unspecific interaction between SpA and Fc fragments. The immunoassay was shown to be specific for SpA contaminants. The quantification limit of the assay was 0.39 ng/ml spreading to the measurement of contamination levels less than 2 ppm of SpA in final preparations of monoclonal antibodies used for the immunopurification of pharmaceutical products, which is quite low for this application.     

Activity and safety of CTLA-4 blockade combined with vaccines in cynomolgus macaques

The immune modulatory molecule CTLA-4 (CD152), through interactions with the B7 costimulatory molecules, has been shown to be a negative regulator of T cell activation in various murine model systems. Abs that block CTLA-4 function can enhance immune responses that mediate potent antitumor activity. However, CTLA-4 blockade can also exacerbate autoimmune disease. The safety and activity of anti-CTLA-4 Abs in primates has not been addressed. To that end, we generated human Abs against CTLA-4 using transgenic mice expressing human Ig genes. A high affinity Ab (10D1) that blocked the binding of CTLA-4 to the B7-1 and B7-2 ligands and had cross-reactivity with macaque CTLA-4 was chosen for further development. Administration of 10D1 to cynomolgus macaques significantly enhanced Ab responses to hepatitis surface Ag and a human melanoma cell vaccine. Anti-self Ab responses as measured by immunoassays using lysate from melanocyte-rich tissues were elicited in those animals receiving the melanoma cell vaccine and anti-CTLA-4 Ab. Remarkably, chronic administration of 10D1 did not result in measurable polyclonal T cell activation, significant alteration of the lymphocyte subsets, or induce clinically observable autoimmunity. Repeated dosing of the 10D1 did not elicit monkey anti-human Ab responses in the monkeys. These observations support the development of CTLA-4 blockade for human immunotherapy.     

Linear PADRE T helper epitope and carbohydrate B cell epitope conjugates induce specific high titer IgG antibody responses

Linear carbohydrate-peptide constructs based on the 13 amino acid nonnatural pan DR epitope (PADRE) and carbohydrate B cell epitopes are demonstrated to be potent immunogens. These data support our belief that PADRE should be considered as an alternative to more complex carriers for use in prophylaxis and therapeutic vaccines. Two model carbohydrate-PADRE glycoconjugates were used to demonstrate that PADRE could effectively provide T cell help for carbohydrate-specific Ab responses. Conjugates of PADRE covalently linked to the human milk oligosaccharide, lacto-N-fucopentose II or a dodecasaccharide derived from Salmonella typhimurium O-Ag induced high titer IgG Ab responses in mice, which were comparable to glycoconjugates employing human serum albumin (HSA) as the carrier protein. Different adjuvants, in combination with PADRE conjugates, allowed for the modulation of the isotype profile with alum supporting an IgG1 profile; QS-21 an IgG2a, 2b profile, while an alum/QS-21 mixture generated a balanced IgG1/IgG2b isotype profile. As defined by binding to synthetic glycoconjugates, dodecasaccharide-specific Abs exhibited fine specificity similar to protective polyclonal Ab responses previously reported for dodecasaccharide-protein conjugates. The same Abs bound to intact S. typhimurium cells, suggesting that biologically relevant specificities were produced. The affinity of the dodecasaccharide-specific Abs was further shown to be comparable to that of a well-characterized, high affinity monoclonal anti-carbohydrate Ab recognizing the same epitope.     

Affinity chromatography and immunosorption with acetylcholine receptor attached to nylon tubes.

Nylon-linked proteins were used for affinity trapping and chromatography. As representative examples purified acetylcholine receptor, alpha-cobratoxin and bovine serum albumin were coupled to the activated matrix to serve as biospecific ligands. In particular, acetylcholine receptor was coupled without significant loss of biochemical properties. The resulting affinity tubes bind receptor-specific ligands including immunoglobulins and thus can be used for affinity-chromatographic purposes and immunoassays.     

Radiolabeled products in rat liver and serum after administration of antibody—amide—DTPA—indium-111

Anti-human serum albumin antibody (Ab) was used as a model antibody. Ab was conjugated with DTPA using cyclic DTPA dianhydride reaction and radiolabeled with ¹¹¹In. The labeled Ab was purified by affinity chromatography. Size exclusion HPLC of this product showed 62% of ¹¹¹In bound to monomeric Ab and 38% of the activity bound to antibody oligomers with molecular weights ranging from 300,000 to 450,000. The labeled antibody preparation was injected into the tail vein of rats. The radioactive substances in serum and the supernatant from liver homogenates were analyzed for molecular weight and immunoreactivity. Size exclusion HPLC of the serum samples indicated that the monomeric and dimeric Abs disappeared from the serum at a similar rate over a 48 h period. In addition, a new radioactive substance with an estimated molecular weight of 35,000 appeared in the serum. The immunoreactive fraction of the circulating ¹¹¹In substances decreased slowly, somewhat proportional to the appearance of the metabolite. On the other hand, the immunoreactivity of the ¹¹¹In substances in the supernatant from the liver homogenate decreased rapidly and no appreciable immunoreactivity was observed after 48 h. The labeled antibody was catabolized very rapidly in the liver and the major activity in the supernatant was associated with a small molecular weight metabolite which had a HPLC retention time identical to that of DTPA-¹¹¹In. The second metabolite had an estimated molecular weight of 35,000. No radioactivity was associated with transferrin.     

Binding parameters of antibodies: pseudo-affinity and other misconceptions

In order to evaluate and compare monoclonal antibodies (Abs), functional affinities are generally determined. While the equations that define affinity relate to monovalent interactions, it has been considered that the binding of Abs to multivalent antigens such as the cell surface could be described by an apparent, or functional affinity. We demonstrate here that this concept is incorrect, since the binding interactions that occur cannot be described in terms of a functional affinity, and the values that are obtained serve only to obscure the true interactions. Bivalent Ab binding must be considered to be an irreversible reaction, in most cases. A correct understanding of Ab binding will be useful in the further development of Abs for therapeutic purposes.     

魔芋葡苷聚糖（KGM）凝胶为亲和层析载体与Sepharose4B的比较 …

将ＫＧＭ和Ｓｅｐｈａｒｏｓｅ ４Ｂ凝胶在相同条件下活化、偶联接上染料Ｃｉｂａｃｒｏｎ Ｂｌｕｅ Ｆ３ＧＡ制成了ＫＧＭ和Ｓｅｐｈａｒｏｓｅ ４Ｂ染料亲和吸附剂,并用来与牛血甭白蛋白（ＢＳＡ）作用,每毫升ＫＧＭ亲和吸附剂可吸附ＢＳＡ ２８ｍｇ,用ＮａＳＣＮ洗脱时间为８４．５％,而Ｓｅｐｈａｒｏｓｅ ４Ｂ染料样和吸附剂每毫升可吸附ＢＳＡ １５．３ｍｇ,用ＮａＳＣＮ洗脱时间收迷８１．７％,并对两种凝胶的染     

Regulation of antibody-dependent cellular cytotoxicity by IgG intrinsic and apparent affinity for target antigen

Unconjugated mAbs have emerged as useful cancer therapeutics. Ab-dependent cellular cytotoxicity (ADCC) is believed to be a major antitumor mechanism of some anticancer Abs. However, the factors that regulate the magnitude of ADCC are incompletely understood. In this study, we described the relationship between Ab affinity and ADCC. A series of human IgG1 isotype Abs was created from the anti-HER2/neu (also named c-erbB2) C6.5 single-chain Fv (scFv) and its affinity mutants. The scFv affinities range from 10(-7) to 10(-11) M, and the IgG Abs retain the affinities of the scFv from which they were derived. The apparent affinity of the Abs ranged from nearly 10(-10) M (the lowest affinity variant) to almost 10(-11) M (the other variants). The IgG molecules were tested for their ability to elicit ADCC in vitro against three tumor cell lines with differing levels of HER2/neu expression using unactivated human PBMC from healthy donors as the effector cells. The results demonstrated that both the apparent affinity and intrinsic affinity of the Abs studied regulate ADCC. High-affinity tumor Ag binding by the IgGs led to the most efficient and powerful ADCC. Tumor cells expressing high levels of HER2/neu are more susceptible to the ADCC triggered by Abs than the cells expressing lower amounts of HER2/neu. These findings justify the examination of high affinity Abs for ADCC promotion. Because high affinity may impair in vivo tumor targeting, a careful examination of Ab structure to function relationships is required to develop optimized therapeutic unconjugated Abs.     

Regional and segmental flexibility of antibodies in interaction with antigens of different size

The interaction of antibodies (Abs) with protein antigens (Ags) of different size, such as hen egg white lysozyme, ovalbumin, and bovine serum albumin, was examined using analytical ultracentrifugation, electrospray ionization time-of-flight mass spectrometry, and surface plasmon resonance in order to estimate regional and segmental Ab flexibility. When both Abs and Ags were free in solution, sedimentation equilibrium and surface plasmon resonance analyses showed the formation of an Ag(2)Ab(1) complexes regardless of Ag size, suggesting that the Fab arms were able to move to avoid interference between Ags bound to Ab combining sites. The Ag(2)Ab(1) complex, as well as the Ag(1)Ab(1) complex, was observed by MS. However, when Abs were immobilized on the surface of a sensor chip through the Fc region, the stoichiometry of the Ag-Ab complex was dependent on the Ag size; Ag(2)Ab(1) forming with hen egg white lysozyme and Ag(1)Ab(1) with ovalbumin and bovine serum albumin. These results indicated that immobilization of the Fc region reduces the dynamic range of the Fab arms and results in interference from the first Ag bound to either combining site, which in turn prevents the binding of the second Ag to the other combining site. Our results allow us to propose that the Fab arms of B-cell receptors whose Fc regions are immobilized on cell surface have a reduced dynamic range.     

A glycoconjugate antigen based on the recognition motif of a broadly neutralizing human immunodeficiency virus antibody, 2G12, is immunogenic but elicits antibodies unable to bind to the self glycans of gp120

The glycan shield of human immunodeficiency virus type 1 (HIV-1) gp120 contributes to viral evasion from humoral immune responses. However, the shield is recognized by the HIV-1 broadly neutralizing antibody (Ab), 2G12, at a relatively conserved cluster of oligomannose glycans. The discovery of 2G12 raises the possibility that a carbohydrate immunogen may be developed that could elicit 2G12-like neutralizing Abs and contribute to an AIDS vaccine. We have previously dissected the fine specificity of 2G12 and reported that the synthetic tetramannoside (Man(4)) that corresponds to the D1 arm of Man(9)GlcNAc(2) inhibits 2G12 binding to gp120 as efficiently as Man(9)GlcNAc(2) itself, indicating the potential use of Man(4) as a building block for creating immunogens. Here, we describe the development of neoglycoconjugates displaying variable copy numbers of Man(4) on bovine serum albumin (BSA) molecules by conjugation to Lys residues. The increased valency enhances the apparent affinity of 2G12 for Man(4) up to a limit which is achieved at approximately 10 copies per BSA molecule, beyond which no further enhancement is observed. Immunization of rabbits with BSA-(Man(4))(14) elicits significant serum Ab titers to Man(4). However, these Abs are unable to bind gp120. Further analysis reveals that the elicited Abs bind a variety of unbranched and, to a lesser extent, branched Man(9) derivatives but not natural N-linked oligomannose containing the chitobiose core. These results suggest that Abs can be readily elicited against the D1 arm; however, potential differences in the presentation of Man(4) on neoglycoconjugates, compared to glycoproteins, poses challenges for eliciting anti-mannose Abs capable of cross-reacting with gp120 and HIV-1.     

Monoclonal antibodies that distinguish between two related digitalis glycosides, ouabain and digoxin.

The exogenous digitalis glycosides, ouabain and digoxin, have been widely used in humans to treat congestive heart failure and cardiac arrhythmias. Several reports have also pointed to the existence of endogenous ouabain- and digoxin-like compounds, but their precise roles in mammalian physiology and various disorders of the circulation are not clear. In an attempt to produce specific Abs for the purification and identification of endogenous ouabain-like compounds, somatic cell fusion was used to produce mAbs specific for ouabain. Our attempts to produce ouabain-specific mAbs were unsuccessful when ouabain was coupled to exogenous proteins such as bovine gamma-globulins, BSA, and human serum albumin. However, when ouabain was coupled to an Ab of A/J mice origin and the same strain of mouse was used for immunization with ouabain-Ab conjugate, three Abs (1-10, 5A12, and 7-1) specific for ouabain were obtained. In assays of fluorescence quenching and saturation equilibrium with tritiated ouabain, Ab 1-10 exhibited 200 nM affinity for ouabain. These three mAbs are distinguished from existing Abs to ouabain and digoxin by their specificity for ouabain and lack of cross-reactivity with digoxin. Specificity studies showed that the loss of cross-reactivity was correlated with the presence of a hydroxyl group at either position 12beta (digoxin) or 16beta (gitoxin) of the steroid ring. These Abs can be used to develop assays for detection and characterization of ouabain-like molecules in vivo.     

免疫亲和层析法纯化棕尾别麻蝇(Sarcophagaperegrina)幼虫血淋巴凝集素

 报道了利用免疫亲和层析法纯化棕尾别麻蝇幼虫血淋巴凝集素的结果．哺乳动物红细胞能够特异地吸附凝集素．用兔红细胞与麻蝇幼虫血淋巴凝集素形成的复合体免疫供血家兔,得到麻蝇幼虫血淋巴凝集素的抗体．再利用抗体制备亲和吸附柱,通过免疫亲和层析一次性纯化了麻蝇幼虫血淋巴凝集素． Ｓ Ｄ Ｓ Ｐ Ａ Ｇ Ｅ结果显示,该凝集素的分子量约为７３ ｋ Ｄ．这一结果,与用对麻蝇幼虫血淋巴凝集素有抑制作用的糖蛋白—胎球蛋白和甲状腺球蛋白为配基,亲和层析纯化的结果完全相同,表明用这种免疫亲和层析法纯化凝集素是可行的．为不清楚专一性识别糖或专一性识别糖不典型,难于用普通亲和层析纯化的凝集素,提供了一种有效的纯化方法．     

Limits for antibody affinity maturation and repertoire diversification in hypervaccinated humans

The immune system is known to generate a diverse panel of high-affinity Abs by adaptively improving the recognition of pathogens during ongoing immune responses. In this study, we report the biological limits for Ag-driven affinity maturation and repertoire diversification by analyzing Ab repertoires in two adult volunteers after each of three consecutive booster vaccinations with tetanus toxoid. Maturation of on-rates and off-rates occurred independently, indicating a kinetically controlled affinity maturation process. The third vaccination induced no significant changes in the distribution of somatic mutations and binding rate constants implying that the limits for affinity maturation and repertoire diversification had been reached. These fully matured Ab repertoires remained similar in size, genetically diverse, and dynamic. Somatic mutations and kinetic rate constants showed normal and log-normal distribution profiles, respectively. Mean values can therefore be considered as biological constants defining the observed boundaries. At physiological temperature, affinity maturation peaked at k(on) = 1.6 × 10(4) M(-1) s(-1) and k(off) = 1.7 × 10(-4) s(-1) leading to a maximum mean affinity of K(D) = 1.0 × 10(-9) M. At ambient temperature, the average affinity increased to K(D) = 3.4 × 10(-10) M mainly due to slower off-rates. This experimentally determined set of constants can be used as a benchmark for analysis of the maturation level of human Abs and Ab responses.     

The potency of erythropoietin-mimic antibodies correlates inversely with affinity

Preclinical animal studies have shown that Ab12.6, an agonistic human Ab targeting the erythropoietin receptor (EPOR), exhibits several potential dosing and safety features that make it an attractive clinical candidate for the treatment of anemia. Ab12.6 was derived by yeast display affinity maturation of parental Ab12, a strategy initially intended to improve off-rate and affinity for EPOR, thereby enhancing erythropoietic activity. Analysis of full-length IgGs derived from yeast clones identified sequences within Ab12 CDRH2 that independently influenced both affinity and potency. The Ab12.6 derivative displayed improved in vitro potency and in vivo efficacy, although its binding affinity to the EPOR was lower than that of the parent Ab12. Additional Ab12 derivatives also exhibited an inverse correlation between affinity and potency. These results suggest that for this class of agonistic Abs, faster off-rates may permit continuous receptor stimulation and more efficient erythropoiesis.     

Improved in vivo anti-tumor effects of IgA-Her2 antibodies through half-life extension and serum exposure enhancement by FcRn targeting

Antibody therapy is a validated treatment approach for several malignancies. All currently clinically applied therapeutic antibodies (Abs) are of the IgG isotype. However, not all patients respond to this therapy and relapses can occur. IgA represents an alternative isotype for antibody therapy that engages FcαRI expressing myeloid effector cells, such as neutrophils and monocytes. IgA Abs have been shown to effectively kill tumor cells both in vitro and in vivo. However, due to the short half-life of IgA Abs in mice, daily injections are required to reach an effect comparable to IgG Abs. The relatively long half-life of IgG Abs and serum albumin arises from their capability of interacting with the neonatal Fc receptor (FcRn). As IgA Abs lack a binding site for FcRn, we generated IgA Abs with the variable regions of the Her2-specific Ab trastuzumab and attached an albumin-binding domain (ABD) to the heavy or light chain (HC_ABD/LC_ABD) to extend their serum half-life. These modified Abs were able to bind albumin from different species in vitro. Furthermore, tumor cell lysis of IgA-Her2-LC_ABD Abs in vitro was similar to unmodified IgA-Her2 Abs. Pharmacokinetic studies in mice revealed that the serum exposure and half-life of the modified IgA-Her2 Abs was extended. In a xenograft mouse model, the modified IgA1 Abs exhibited a slightly, but significantly, improved anti-tumor response compared to the unmodified Ab. In conclusion, empowering IgA Abs with albumin-binding capacity results in in vitro and in vivo functional Abs with an enhanced exposure and prolonged half-life.     

Comparing ELISA and surface plasmon resonance for assessing clinical immunogenicity of panitumumab

Evaluation of the immunogenicity of panitumumab, a fully human anti-epidermal growth factor receptor mAb approved for use in colorectal cancer patients, led to the development of two separate immunoassays for the detection of anti-panitumumab Abs. The first immunoassay used a bridging ELISA capable of detecting 10 ng/ml positive control anti-panitumumab Ab. The ELISA incorporated an acid dissociation step to reduce drug interference and tolerated the presence of approximately 100-fold molar excess of drug. During eight clinical trials, the ELISA detected developing Ab responses in 2 of 612 (0.3%) subjects. In one of the ELISA positive subjects, neutralizing Abs were detected using an epidermal growth factor receptor phosphorylation bioassay. The second immunoassay used a Biacore biosensor immunoassay format capable of detecting 1 mug/ml positive control Ab while tolerating the presence of equal molar amounts of drug. Although less sensitive and less tolerant to competing drug in the assay, the Biacore assay detected developing Ab responses in 25 of the 604 (4.1%) subjects. Additionally, the Biacore assay identified eight subjects who developed neutralizing Abs. Mouse mAbs with affinities ranging from 1.1 x 10(-6) to 8.4 x 10(-10) M were used to characterize both assay types. The ELISA was more sensitive for the detection of higher affinity mAbs and detected high-affinity mAbs in the presence of higher molar ratio of drug to mAb. The Biacore assay was more sensitive for detection of lower affinity mAbs and detected low affinity Abs in the presence of higher molar ratios of drug to mAb.     

Characterization of the antibody response against NeuGcGM3 ganglioside elicited in non-small cell lung cancer patients immunized with an anti-idiotype antibody

1E10 mAb is an anti-Id murine mAb (Ab2 mAb) specific for an Ab1 mAb that reacts with NeuGc-containing gangliosides, sulfatides, and Ags expressed in some human tumors. In preclinical studies, this Ab2 Ab was able to mimic NeuGc-containing gangliosides only in animals lacking expression of these Ags in normal tissues. In this study, we report on the immune responses elicited in 20 non-small cell lung cancer patients treated with 1 mg of aluminum hydroxide-precipitated 1E10 mAb. In the hyperimmune sera from 16 of 20 patients, a strong specific Ab response of both IgM and IgG isotypes against NeuGcGM3 ganglioside was observed. Patient immune sera were able to induce complement-independent cell death of NeuGcGM3-expressing X63 murine myeloma target cells. Significant immunoreactivity to NeuGcGM3 was still detected after the complete abrogation of the reactivity against 1E10 mAb by the adsorption of patient sera with this Ab. We hypothesize that Id(-)Ag(+) Abs could reflect the activation of an autologous idiotypic cascade into the patients. Both Id(+)Ag(+) and Id(-)Ag(+) fractions were separated by affinity chromatography and characterized. Although IgG isotype Abs were found in both fractions, IgM isotype Abs were found only in the Id(-)Ag(+) fraction. Both Id(+)Ag(+) and Id(-)Ag(+) Abs were able to specifically recognize and induce cell death in NeuGcGM3-expressing X63 myeloma target cells. Patients that developed IgG and/or IgM Abs against NeuGcGM3 showed longer median survival times.     

Heterogeneity of envelope molecules expressed on primary human immunodeficiency virus type 1 particles as probed by the binding of neutralizing and nonneutralizing antibodies

Virion capture assays, in which immobilized antibodies (Abs) capture virus particles, have been used to suggest that nonneutralizing Abs bind effectively to human immunodeficiency virus type 1 (HIV-1) primary viruses. Here, we show that virion capture assays, under conditions commonly reported in the literature, give a poor indication of epitope expression on the surface of infectious primary HIV-1. First, estimation of primary HIV-1 capture by p24 measurements shows a very poor correlation with an estimation based on infectivity measurements. Second, virion capture appears to require relatively low Ab affinity for the virion, as shown by the ability of a monoclonal Ab to capture a wild-type and a neutralization escape variant virus equally well. Nevertheless, in a more interpretable competition format, it is shown that nonneutralizing anti-CD4 binding site (CD4bs) Abs compete with a neutralizing anti-CD4bs Ab (b12) for virus capture, suggesting that the nonneutralizing anti-CD4bs Abs are able to bind to the envelope species that is involved in virion capture in these experiments. However, the nonneutralizing anti-CD4bs Abs do not inhibit neutralization by b12 even at considerable excess. This suggests that the nonneutralizing Abs are unable to bind effectively to the envelope species required for virus infectivity. The results were obtained for three different primary virus envelopes. The explanation that we favor is that infectious HIV-1 primary virions can express two forms of gp120, an accessible nonfunctional form and a functional form with limited access. Binding to the nonfunctional form, which needs only to be present at relatively low density on the virion, permits capture but does not lead to neutralization. The expression of a nonfunctional but accessible form of gp120 on virions may contribute to the general failure of HIV-1 infection to elicit cross-neutralizing Abs and may represent a significant problem for vaccines based on viruses or virus-like particles.     

Use of affinity chromatography for the purification of specific endonuclease Eco RI and Bg1 II

The highly active preparations of specific endonucleases Eco RI and Bgl II were purified by affinity chromatography from E. coli and Bacillus globiggii cells, respectively. The isolation and purification procedures included cell disruption by ultrasonication, ultracentrifugation and chromatography. Blue dextrane-Sepharose, folate-Sepharose and phenyl-Sepharose were used as affinity adsorbents. The optimal conditions for the adsorption and elution of the endonucleases excluding intermediate steps of dialysis and concentration were selected. A high degree of purification was achieved by a consecutive use of adsorbents with different ligands. The purified enzyme does not contain non-specific nucleases or phosphatases, is sufficiently concentrated and can be used for specific hydrolysis of DNA.     

On the contemporaneous, reversible interaction of different ligands with serum albumins in dilute aqueous solutions: Fluorescein and phenylbutazone

The binding affinity of fluorescein and of phenylbutazone to human serum albumin (HSA) and to bovine serum albumin (BSA), respectively, as well as of the two drugs together to each protein in dilute aqueous solution has been studied by means of gel permeation chromatography, circular dichroism, U.V. absorption and fluorescence spectroscopy. Identity of and/or interdependence between primary binding sites for the two ligands considered on HSA and BSA are evidenced and correlated with a simple theoretical approach to mixed drugs binding.