Biosensor analysis of antigen-antibody interactions as a priority step in the generation of monoclonal bispecific antibodies

A biosensor system aimed at real-time measuring molecular interactions among label-free reactants has been used for a comparative analysis of the binding features (i.e., association-dissociation rates and affinity constants) as well as epitope mapping between bivalent monoclonal antibodies and the derived monovalent bispecific monoclonal antibody. The results show that observed different affinities between parental and derived bispecific antibodies concern the association rate constant, whereas the dissociation rate constants are unaltered. The apparent affinity-constant values determined by solid-phase radioimmunoassay yielded figures almost overlapping with those obtained with the biosensor instrument. The results of the present work indicate that the biosensor system has gained a key role not only as a tool for the study of antigen-antibody interactions, but also for setting up the reference parameters for the selection of the best candidates in the generation of bispecific monoclonal antibodies.     

Detection of antigen-antibody interactions by surface plasmon resonance. Application to epitope mapping.

Surface plasmon resonance (SPR) detection requires no labeling of antigen or antibodies and allows quantification of two or more interacting molecular species. The automated SPR instrument used here consists of an optical detection unit, an integrated liquid handling unit, and an autosampler. A first molecule is immobilized to the dextran modified surface of the sensor chip. By sequential introduction, the stepwise formation of multimolecular complexes can then be monitored. A two-site binding assay which allows characterization of MoAb epitope specificities is described. A polyclonal rabbit anti-mouse IgG1 (RAMG1) immobilized to the dextran surface is used to capture the first MoAb from unprocessed hybridoma culture supernatants. After introducing the antigen, the ability of a second MoAb to bind to the antigen is tested. The analysis cycle which is fully automated can be performed more than 100 times using the same RAMG1 surface. Since the detection principle allows monitoring of each reactant in the consecutive formation of a multimolecular complex, multi-site binding experiments can be performed. Five MoAbs recognizing different epitopes on an antigen were shown to bind sequentially, forming a hexamolecular complex. MoAbs were further characterized by inhibition analysis using synthetic peptides derived from the primary structure of their antigen. As a model system MoAbs against recombinant HIV-1 core protein p24 were used in all experiments.     

Epitope mapping by surface plasmon resonance in the BIAcore

An epitope may be defined as a specific site on an antigen module characterized by the binding of one monoclonal antibody (MAb). Epitope mapping by surface plasmon resonance in the BIAcore biosensor may be performed to characterize an antigen or a group of specific MAbs or both. This article describes the BIAcore instrument and methods for such mapping. Examples include molecular interaction studies with simple and complex proteins, such as myoglobin and calprotectin, respectively.     

Selection and characterization of human antibodies neutralizing Bacillus anthracis toxin

A less than adequate therapeutic plan for the treatment of anthrax in the 2001 bioterrorism attacks has highlighted the importance of developing alternative or complementary therapeutic approaches for biothreat agents. In these regards passive immunization possesses several important advantages over active vaccination and the use of antibiotics, as it can provide immediate protection against Bacillus anthracis. Herein, we report the selection and characterization of several human monoclonal neutralizing antibodies against the toxin of B. anthracis from a phage displayed human scFv library. In total 15 clones were selected with distinct sequences and high specificity to protective antigen and thus were the subject of a series of both biophysical and cell-based cytotoxicity assays. From this panel of antibodies a set of neutralizing antibodies were identified, of which clone A8 recognizes the lethal (and/or edema) factor binding domain, and clones F1, G11, and G12 recognize the cellular receptor binding domain found within the protective antigen. It was noted that all clones distinguish a conformational epitope existing on the protective antigen; this steric relationship was uncovered using a sequential epitope mapping approach. For each neutralizing antibody, the kinetic constants were determined by surface plasmon resonance, while the potency of protection was established using a two-tier macrophage cytotoxicity assay. Among the neutralizing antibodies identified, clone F1 possessed the highest affinity to protective antigen, and provided superior protection from lethal toxin in the cell cytotoxicity assay. The data presented provide the ever-growing arsenal of immunological and functional analysis of monoclonal antibodies to the exotoxins of anthrax. In addition it grants new candidates for the prophylaxis and therapeutic treatment against this toxin.     

B细胞表位作图研究进展

抗原-抗体的特异性结合是由抗体表面的抗原决定簇与抗原表面的表位基序间的特异性互补识别决定的。B细胞表位作图既包括B细胞抗原表位基序的鉴定(即确定抗原分子上被B细胞表面受体或抗体特异性识别并结合的氨基酸基序),也包括绘制抗原蛋白的全部或接近全部的B细胞表位基序在其一级或高级结构上的分布图谱的过程。B细胞表位作图是研发表位疫苗、治疗性表位抗体药物和建立疾病免疫诊断方法的重要前提。目前,已经建立了多种B细胞表位鉴定或绘制抗原蛋白B细胞表位图谱的实验方法。基于抗原-单抗复合物晶体结构的X-射线晶体学分析的B细胞表位作图和基于抗原蛋白或抗原片段的突变体库筛选技术的B细胞表位作图可以在氨基酸水平,甚至原子水平上揭示抗原分子上与单抗特异性结合的关键基序;其它B细胞表位作图方法(如基于ELISA的肽库筛选技术)常常只能获得包含B细胞表位的抗原性肽段,因而,很少用于最小表位基序的鉴定;而改良的生物合成肽法多用于B细胞表位的最小基序鉴定和精细作图。鉴于每种B细胞作图方法都存在各自的优势与不足,B细胞表位作图往往需要多种作图方法的有机结合。本文对目前常用的B细胞表位作图的实验方法及其在动物疫病防控中的应用进行综述,以期为研究者设计最佳的表位作图方案提供参考。     

Targeting high affinity and epitope-distinct oligoclonal nanobodies to HER2 over-expressing tumor cells

Modern anti-HER2 antibody therapy tends to exploit a panel of different antibodies against different epitopes on the antigen. For this aim, nanobodies are very striking targeting agents and can be easily produced against any cell-specific membrane antigen. The oligoclonal nanobodies can be used to block more than one functional epitope on a target antigen and inhibit the generation of escape variants associated with cancer therapy. In this study, 12 nanobody clones selected from an immune camel library were examined for their ability to differ between tumor markers. These oligoclonal nanobodies targeted breast cancer cells better than each individual nanobody. In epitope mapping, several nanobodies overlapped in the epitope recognized by trastuzumab and some of the non-overlapping nanobodies could affect the binding of trastuzumab to HER2. This study demonstrates that the oligoclonal nanobodies are potential therapeutic tools that can be used instead of, or in combination with trastuzumab to assess tumor viability during treatment.     

Biochemical,Biophysical and IgE-Epitope Characterization of the Wheat Food Allergen,Tri a 37

Wheat is an important staple food and potent allergen source. Recently, we isolated a cDNA coding for wheat alpha-purothionin which is recognized by wheat food allergic patients at risk for severe wheat-induced allergy. The purpose of the present study was the biochemical, biophysical and IgE epitope characterization of recombinant alpha-purothionin. Synthetic genes coding for alpha-purothionin were expressed in a prokaryotic system using Escherichia coli and in a eukaryotic expression system based on baculovirus-infected Sf9-insect cells. Recombinant proteins were purified and characterized by SDS-PAGE, mass spectrometry, circular dichroism, chemical cross-linking and size exclusion chromatography. Five overlapping peptid were synthesized for epitope mapping. Alpha-purothionin-specific rabbit antibodies were raised to perform IgE-inhibition experiments and to study the resistance to digestion. The IgE reactivity of the proteins and peptides from ten wheat food allergic patients was studied in non-denaturing RAST-based binding assays. Alpha-purothionin was expressed in the prokaryotic (EcTri a 37) and in the eukaryotic system (BvTri a 37) as a soluble and monomeric protein. However, circular dichroism analysis revealed that EcTri a 37 was unfolded whereas BvTri a 37 was a folded protein. Both proteins showed comparable IgE-reactivity and the epitope mapping revealed the presence of sequential IgE epitopes in the N-terminal basic thionin domain (peptide1:KSCCRSTLGRNCYNLCRARGAQKLCAGVCR) and in the C-terminal acidic extension domain (peptide3:KGFPKLALESNSDEPDTIEYCNLGCRSSVC, peptide4:CNLGCRSSVCDYMVNAAADDEEMKLYVEN). Natural Tri a 37 was digested under gastric conditions but resistant to duodenal digestion. Immunization with EcTri a 37 induced IgG antibodies which recognized similar epitopes as IgE antibodies from allergic patients and inhibited allergic patients'' IgE binding. Reactivity to Tri a 37 does not require a folded protein and the presence of sequential IgE epitopes indicates that sensitization to alpha-purothionin occurs via the gut. Both allergens can be used for in-vitro diagnosis of wheat food allergy. The induction of blocking IgG antibodies suggests the usefulness for immunotherapy.     

鉴定单克隆抗体识别蛋白质抗原表位方法的建立

为了建立鉴定治疗性单克隆抗体识别蛋白质抗原表位的方法,选择程序死亡受体-1(PD-1)作为目的蛋白。基于丙氨酸扫描策略,建立了定点突变技术和哺乳动物细胞表达系统相结合的抗原突变体快速表达方法,确定了真核表达元件扩增和细胞转染表达的条件。共表达了150个PD-1蛋白突变体,鉴定了这些突变体与抗PD-1抗体帕博利珠单抗的结合能力。根据蛋白突变体与抗体的结合力并结合蛋白结构分析确定了帕博利珠单抗的抗原表位,与已报道的基于晶体结构的抗原表位高度一致,表明本方法操作简单、准确性高,可用于治疗性单克隆抗体的抗原表位作图。     

Helical peptide arrays for lead identification and interaction site mapping

Libraries composed of linear and cyclic peptides cannot fully represent the higher order structures of most antigenic sites. To map the binding site of ligands or antibodies, a larger part of the three-dimensional space should be sampled. Because parallel synthesis of large arrays of peptides on hydrogels is restricted to relatively small peptides, a simple and robust homodimeric helical system was chosen for antigen presentation. First, it was established in an heterodimeric system that the 26-mer peptide could be synthesized and that the helical coiled-coil peptides interact in the hydrogel in a predictable manner. Next, libraries of homodimeric coiled coils were synthesized into which the epitope was grafted. Using dedicated helical dimeric and trimeric coiled-coil libraries, the epitopes of two anti-HIV-1 gp41 monoclonal antibodies known to interact with helical structures were mapped at high resolution. These mappings precisely reflect existing X-ray data, and the arrays can be applied to lead identification, epitope mapping, and systematic analysis of amino acid contribution to coiled-coil systems.     

Rapid and precise epitope mapping of monoclonal antibodies against Plasmodium falciparum AMA1 by combined phage display of fragments and random peptides.

We describe an approach for the rapid mapping of epitopes within a malaria antigen using a combination of phage display techniques. Phage display of antigen fragments identifies the location of the epitopes, then random peptide libraries displayed on phage are employed to identify accurately amino acids involved in the epitope. Finally, phage display of mutant fragments confirms the role of each residue in the epitope. This approach was applied to the apical membrane antigen-1 (AMA1), which is a leading candidate for inclusion in a vaccine directed against the asexual blood stages of Plasmodium falciparum. As part of the effort both to understand the function of AMA1 in the parasite life cycle and to define the specificity of protective immune responses, a panel of monoclonal antibodies (MAbs) was generated to obtain binding reagents to the various domains within the molecule. There is a pressing need to determine rapidly the regions recognized by these antibodies and the structural requirements required within AMA1 for high affinity binding of the MAbs. Using phage displaying random AMA1 fragments, it was shown that MAb5G8 recognizes a short linear epitope within the pro-domain of AMA1 whereas the epitope recognized by MAb 1F9 is reduction sensitive and resides within a disulphide-bonded 57 amino acid sub-domain of domain-1. Phage displaying random peptide libraries and mutant AMA1 fragments were employed for fine mapping of the MAb5G8 core epitope to a three-residue sequence in the AMA1 prodomain.     

Exploring antibody recognition of sequence space through random-sequence peptide microarrays

A universal platform for efficiently mapping antibody epitopes would be of great use for many applications, ranging from antibody therapeutic development to vaccine design. Here we tested the feasibility of using a random peptide microarray to map antibody epitopes. Although peptide microarrays are physically constrained to ～10(4) peptides per array, compared with 10(8) permitted in library panning approaches such as phage display, they enable a much more high though put and direct measure of binding. Long (20 mer) random sequence peptides were chosen for this study to look at an unbiased sampling of sequence space. This sampling of sequence space is sparse, as an exact epitope sequence is unlikely to appear. Commercial monoclonal antibodies with known linear epitopes or polyclonal antibodies raised against engineered 20-mer peptides were used to evaluate this array as an epitope mapping platform. Remarkably, peptides with the most sequence similarity to known epitopes were only slightly more likely to be recognized by the antibody than other random peptides. We explored the ability of two methods singly and in combination to predict the actual epitope from the random sequence peptides bound. Though the epitopes were not directly evident, subtle motifs were found among the top binding peptides for each antibody. These motifs did have some predictive ability in searching for the known epitopes among a set of decoy sequences. The second approach using a windowing alignment strategy, was able to score known epitopes of monoclonal antibodies well within the test dataset, but did not perform as well on polyclonals. Random peptide microarrays of even limited diversity may serve as a useful tool to prioritize candidates for epitope mapping or antigen identification.     

Fine specificity of the human immune response to the major neutralization epitopes expressed on cytomegalovirus gp58/116 (gB), as determined with human monoclonal antibodies.

The humoral immune response to human cytomegalovirus (CMV) membrane glycoprotein gp58/116 (gB) has been studied by establishing cell lines producing specific human monoclonal antibodies. These cell lines were generated from peripheral blood lymphocytes obtained from a healthy carrier. Hybridomas producing gp58/116-specific antibodies were detected by reactivity to procaryotically expressed proteins containing the major neutralizing epitopes of this glycoprotein complex. One antibody, ITC88, which recognized an epitope located between amino acid residues 67 and 86 of gp116, potently neutralized the virus at 1 to 2 micrograms of immunoglobulin G per ml. Only four of the six human antibodies detecting the major neutralizing domain of gp58 neutralized the virus, and none of them required complement for activity. All antibodies that bound mature, processed gp58 recognized a conformational epitope involving sequences between residues 549 and 635. However, small differences existed between the antibodies in the actual minimal requirement for C- and N-terminal parts of this epitope. By peptide mapping with several of the antibodies, the epitope was shown to consist mainly of residues between amino acids 570 to 579 and 606 to 619. Despite the conformational nature of the epitope, the antibodies recognized both reduced and denatured native antigen. Presence of carbohydrates was not required for antigen binding of these gp58-specific human antibodies, but in at least one case, it greatly enhanced antigen recognition, indicating an importance of carbohydrate structures in some epitopes within the major neutralizing specificity of gp58.     

A combinatorial mutagenesis approach for functional epitope mapping on phage-displayed target antigen

Although multiple different procedures to characterize the epitopes recognized by antibodies have been developed, site-directed mutagenesis remains the method of choice to define the energetic contribution of antigen residues to binding. These studies are useful to identify critical residues and to delineate functional maps of the epitopes. However, they tend to underestimate the roles of residues that are not critical for binding on their own, but contribute to the formation of the target epitope in an additive, or even cooperative, way. Mapping antigenic determinants with a diffuse energetic landscape, which establish multiple individually weak interactions with the antibody paratope, resulting in high affinity and specificity recognition of the epitope as a whole, is thus technically challenging. The current work was aimed at developing a combinatorial strategy to overcome the limitations of site-directed mutagenesis, relying on comprehensive randomization of discrete antigenic regions within phage-displayed antigen libraries. Two model antibodies recognizing epidermal growth factor were used to validate the mapping platform. Abrogation of antibody recognition due to the introduction of simultaneous replacements was able to show the involvement of particular amino acid clusters in epitope formation. The abundance of some of the original residues (or functionally equivalent amino acids sharing their physicochemical properties) among the set of mutated antigen variants selected on a given antibody highlighted their contributions and allowed delineation of a detailed functional map of the corresponding epitope. The use of the combinatorial approach could be expanded to map the interactions between other antigens/antibodies.     

A combinatorial mutagenesis approach for functional epitope mapping on phage-displayed target antigen: Application to antibodies against epidermal growth factor

Although multiple different procedures to characterize the epitopes recognized by antibodies have been developed, site-directed mutagenesis remains the method of choice to define the energetic contribution of antigen residues to binding. These studies are useful to identify critical residues and to delineate functional maps of the epitopes. However, they tend to underestimate the roles of residues that are not critical for binding on their own, but contribute to the formation of the target epitope in an additive, or even cooperative, way. Mapping antigenic determinants with a diffuse energetic landscape, which establish multiple individually weak interactions with the antibody paratope, resulting in high affinity and specificity recognition of the epitope as a whole, is thus technically challenging. The current work was aimed at developing a combinatorial strategy to overcome the limitations of site-directed mutagenesis, relying on comprehensive randomization of discrete antigenic regions within phage-displayed antigen libraries. Two model antibodies recognizing epidermal growth factor were used to validate the mapping platform. Abrogation of antibody recognition due to the introduction of simultaneous replacements was able to show the involvement of particular amino acid clusters in epitope formation. The abundance of some of the original residues (or functionally equivalent amino acids sharing their physicochemical properties) among the set of mutated antigen variants selected on a given antibody highlighted their contributions and allowed delineation of a detailed functional map of the corresponding epitope. The use of the combinatorial approach could be expanded to map the interactions between other antigens/antibodies.     

Monoclonal antibodies as probes of conformational changes in protein-engineered cytochrome c

Determination of the nature of the antigen-antibody complex has always been the ultimate goal of three-dimensional epitope mapping studies. Various strategies for epitope mapping have been employed which include comparative binding studies with peptide fragments of antigens, binding studies with evolutionarily related proteins, chemical modifications of epitopes, and protection of epitopes from chemical modification or proteolysis by antibody shielding. In this study we report the use of protein engineering to modify residues in horse cytochrome c that are in or near the epitopes of four monoclonal antibodies specific for this protein. The results demonstrate not only that site-specific changes in the antigen binding site dramatically affect antibody binding, but, more importantly, that some of the site-specific changes cause local and long-range perturbations in structure that are detected by monoclonal antibody binding at other surfaces of the antigen. These findings emphasize the role of native conformation in the stabilization of the interaction between protein antigens and high affinity monoclonal antibodies. Furthermore, the results demonstrate that monoclonal antibodies are more sensitive probes of changes in conformation brought about by protein engineering than low resolution spectroscopic methods such as circular dichroism, where similar spectra are observed for all the analogues. These findings suggest a role for monoclonal antibodies in detecting conformational changes invoked by nonconservative amino acid substitutions or substitutions of evolutionarily conserved residues in protein-engineered or recombinant proteins.     

Kinetic analysis of a monoclonal therapeutic antibody and its single-chain homolog by surface plasmon resonance

Monoclonal antibodies (mAbs) and antibody fragments have become an emerging class of therapeutics since 1986. Their versatility enables them to be engineered for optimal efficiency and decreased immunogenicity, and the path to market has been set by recent regulatory approvals. One of the initial criteria for success of any protein or antibody therapeutic is to understand its binding characteristics to the target antigen. Surface plasmon resonance (SPR) has been widely used and is an important tool for ligand-antigen binding characterization. In this work, the binding kinetics of a recombinant mAb and its single-chain antibody homolog, single-chain variable fragment (scFv), was analyzed by SPR. These two proteins target the same antigen. The binding kinetics of the mAb (bivalent antibody) and scFv (monovalent scFv) for this antigen was analyzed along with an assessment of the thermodynamics of the binding interactions. Alternative binding configurations were investigated to evaluate potential experimental bias because theoretically experimental binding configuration should have no impact on binding kinetics. Self-association binding kinetics in the proteins’ respective formulation solutions and antigen epitope mapping were also evaluated. Functional characterization of monoclonal and single-chain antibodies has become just as important as structural characterization in the biotechnology field.     

Suppressing allostery in epitope mapping experiments using millisecond hydrogen / deuterium exchange mass spectrometry

Localization of the interface between the candidate antibody and its antigen target, commonly known as epitope mapping, is a critical component of the development of therapeutic monoclonal antibodies. With the recent availability of commercial automated systems, hydrogen / deuterium eXchange (HDX) is rapidly becoming the tool for mapping epitopes preferred by researchers in both industry and academia. However, this approach has a significant drawback in that it can be confounded by ‘allosteric’ structural and dynamic changes that result from the interaction, but occur far from the point(s) of contact. Here, we introduce a ‘kinetic’ millisecond HDX workflow that suppresses allosteric effects in epitope mapping experiments. The approach employs a previously introduced microfluidic apparatus that enables millisecond HDX labeling times with on-chip pepsin digestion and electrospray ionization. The ‘kinetic’ workflow also differs from conventional HDX-based epitope mapping in that the antibody is introduced to the antigen at the onset of HDX labeling. Using myoglobin / anti-myoglobin as a model system, we demonstrate that at short ‘kinetic’ workflow labeling times (i.e., 200 ms), the HDX signal is already fully developed at the ‘true’ epitope, but is still largely below the significance threshold at allosteric sites. Identification of the ‘true’ epitope is supported by computational docking predictions and allostery modeling using the rigidity transmission allostery algorithm.     

Off-rate screening for selection of high-affinity anti-drug antibodies

The rapidly increasing number of therapeutic antibodies in clinical development and on the market requires corresponding detection reagents for monitoring the concentration of these drugs in patient samples and as positive controls for measurement of anti-drug antibodies. Phage display of large recombinant antibody libraries has been shown to enable the rapid development of fully human anti-idiotypic antibodies binding specifically to antibody drugs, since the in vitro panning approach allows for incorporation of suitable blockers to drive selection toward the paratope of the drug. A typical bottleneck in antibody generation projects is ranking of the many candidates obtained after panning on the basis of antibody binding strength. Ideally, such method will work without prior labeling of antigens and with crude bacterial lysates. We developed an off-rate screening method of crude Escherichia coli lysates containing monovalent Fab fragments obtained after phage display of the HuCAL PLATINUM® antibody library. We used the antibody drugs trastuzumab and cetuximab as antigen examples. Using the Octet® RED384 label-free sensor instrument we show that antibody off rates can be reliably determined in crude bacterial lysates with high throughput. We also demonstrate that the method can be applied to screening for high-affinity antibodies typically obtained after affinity maturation.     

Analysis of antigenic profiles of inactivated poliovirus vaccine and vaccine-derived polioviruses by block-ELISA method.

A new block-ELISA test for quantitative evaluation of relative reactivity of antigenic sites was developed and used to reveal the detailed epitope structure of inactivated poliovirus vaccines (IPV) and live poliovirus strains. Poliovirus was captured on ELISA plates coated with rabbit anti-poliovirus IgG and blocked by monoclonal antibodies (Mabs) specific to individual epitopes before the remaining reactive antigenic sites were quantified by polyclonal anti-poliovirus IgG conjugate. The decrease of conjugate binding by the pre-treatment with a Mab reflects its contribution to the overall reactivity of poliovirus antigen. The level of block activity of Mabs for a given antigen can be expressed as a percent of reduction of antigenic reactivity as determined by ELISA test. It can be normalized by expressing this value as a ratio to the block activity of a reference sample. The data on the blocking-activity of a panel of monoclonal antibodies specific to different antigenic sites represents the epitope composition (antigenic profile) of a sample. Quantitative differences in epitope composition were determined for nine samples of inactivated poliovirus vaccine (IPV) and compared with the International Reference Reagent. This method could be used for monitoring consistency of IPV production, comparison of vaccines made by different manufacturers, and for the analysis of antigenically modified strains of attenuated poliovirus. Antigenic structures of two isolates of type 1 vaccine-derived poliovirus (VDPV) were compared with the structures of parental Sabin 1 and wild-type Mahoney strains using 17 monoclonal antibodies and revealed significant differences, suggesting that the method can be used for screening of field isolates and rapid identification of antigenically divergent VDPV strains.     

Identification of a human Ia antigen that is different from HLA-DR and DC antigens

A monoclonal antibody, MHM4, identified a cell surface antigen present on B cells and not resting T cells. It precipitated two polypeptide chains of 34 000 and 28 000 daltons from B lymphoblastoid cells. This antibody bound to all B-cell lines tested, except those homozygous for HLA-DR7. Saturation binding assays and Scatchard plots of MHM4 binding to cells that did not carry HLA-DR7 indicated that this antibody bound less than the total surface Ia antigen. When the antibody was competed with eight other HLA-D-specific antibodies, the epitope recognized was shown to be distinct. Two-dimensional gel analysis revealed that a simple pattern of spots was precipitated, unlike the complex patterns obtained with other HLA-D-specific antibodies. The α and β spots were different from those precipitated by HLA-DR- or DC-specific antibodies. It is argued that the MHM4 antigen is the product of an HLA locus that is distinct from HLA-DR and DC. Its relationship with HLA-SI3 is discussed.