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J. Biol. Chem., Vol. 283, Issue 2, 1156-1166, January 11, 2008
Thermodynamic Consequences of Mutations in Vernier Zone Residues of a Humanized Anti-human Epidermal Growth Factor Receptor Murine Antibody, 528*
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| ABSTRACT |
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| INTRODUCTION |
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However, grafting of the six CDRs of murine antibodies onto appropriate frameworks of human antibodies often results in reduced affinity or specificity for the target antigen (10, 14, 16). The pioneering work of Foote and Winter (21) has suggested that antibody residues in the β-sheet framework underlying the CDRs play a critical role in adjustment of the loop structures of the CDRs. Although these residues, referred to as Vernier zone residues, do not directly interact with the antigen, careful selection of these residues may prove essential for the success of loop transplants in antibodies, and variation of these sites may also have a role in shaping the diversity of structures found in the primary repertoire and a role in affinity maturation (21).
The epidermal growth factor receptor (EGFR) is a transmembrane glycoprotein with an intracellular tyrosine kinase domain (22-24). High level overexpression of the EGFR has been found in many tumors and is considered to be generally correlated with critical factors in the development of tumors (25-28). To date, several approaches involving regulation of the EGFR have been attempted for cancer immunotherapy, some of which are now in clinical trials (29-33).
In previous work, we focused on antibody-based adoptive immunotherapy (34-38). Recently, we successfully constructed an Ex3 diabody, a fusion protein of the variable region (Fv) of an anti-CD3 antibody and an anti-EGFR antibody (39, 40). We also found that humanization of 528, a murine antibody specific for the human EGFR (41), led to a substantial reduction of the antibody's affinity for its target.
In this study, we focused on Vernier zone residues of 528 to determine what is predominantly responsible for the reduction of affinity that occurs upon humanization. Several mutants of the variable domains of humanized 528 (h528Fv), in which some of the Vernier zone residues in the heavy chain were replaced with the parental murine residues, were constructed and prepared using a bacterial expression system. The interactions between mutants and the soluble extracellular domain of EGFR (sEGFR) were investigated using isothermal titration calorimetry (ITC). On the basis of results obtained, we discuss the role that Vernier zone residues may play in the high affinity of antibodies for their targets.
| EXPERIMENTAL PROCEDURES |
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Site-directed Mutagenesis—Site-directed mutagenesis was accomplished as described previously (44). The DNA primers used for mutagenesis are listed in supplemental Table S1. The mutants constructed in this study are summarized in Table 2.
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A C-terminal hexahistidine tag-fused sEGFR was expressed by Chinese hamster ovary cells, which were kindly provided by Dr. Tsutomu Arakawa (Alliance Protein Laboratories). Cells were grown in a medium composed of RPMI1640 (Sigma) containing 10% fetal bovine serum (Invitrogen), 100 units/ml penicillin, and 100 µg/ml streptomycin. For large scale production, cells were grown in Dulbecco's modified Eagle's medium containing 1% nonessential amino acid solution (Invitrogen) for 3 days. Nickel-charged His-bind resin (1% volume; Novagen Inc., Madison, WI) was added to the supernatant of the culture medium and allowed to batch bind at 4 °C for more than 12 h and then loaded to the column. After washing with 50 mM Tris-HCl (pH 8.0) containing 200 mM NaCl and 10 mM imidazole, the elution buffer (50 mM Tris-HCl (pH 8.0) containing 200 mM NaCl and 10 mM imidazole) was added for elution of the protein of interest. Final purification was performed by size exclusion chromatography on Superdex200pg (26/60; GE Healthcare).
Matrix-assisted Laser Desorption Ionization Time-of-flight (MALDI-TOF) Mass Spectrometry—Mass spectra were measured on a REFLEX III MALDI-TOF mass spectrometer (Bruker Analytische, GmbH, Germany) equipped with a nitrogen laser (337 nm). Sinapic acid was applied as a matrix and dissolved to saturation in water/acetonitrile (2:1, v/v) containing 0.067% trifluoroacetic acid. Sample solutions from each stage were mixed with the sinapic acid-saturated solution in a 1:1 (v/v) ratio, and then 1 µl of the mixed solution was loaded onto the sample target. After co-crystallization on the target, the crystals were washed two times with 2 µl of water containing 0.1% trifluoroacetic acid to remove salts. Analysis was performed in positive and linear modes with an accelerating voltage of 27 kV, and 200 scans were averaged.
Preparation of m528Fab Fragment—The Fab fragment of m528 was generated by papain digestion of m528 IgG (subtype IgG2a) with an ImmunoPure Fab Preparation Kit (Pierce). The Fab fragment was separated from undigested IgG and the constant domain fragment (Fc) by means of a Protein A column. The flow-through fraction was collected and used for crystallization.
Crystallization of h528Fv and m528Fab—All crystallization experiments were performed using the vapor diffusion method at 20 °C. Crystal screening was performed by the sitting drop vapor diffusion method using Crystal Screens I and II, Salt Rx (Hampton Research, Aliso Viejo, CA), and Wizards 1 and 2 (Emerald Biostructures, Bainbridge Island, WA). Well-diffracted crystals were obtained in hanging drops equilibrated against a reservoir solution consisting of 3 M sodium chloride and 0.1 M Tris-HCl (pH 7.5) for h528Fv and 1.4 M ammonium sulfate, 0.01 M cadmium chloride, and 0.1 M Tris-HCl (pH 7.1) for m528Fab. The crystallization drops contained equal volumes (2 µl) of reservoir and purified protein solution (20 mg/ml for h528Fv and 36 mg/ml for m528Fab in 10 mM Tris-HCl, pH 8).
X-ray Data Collection and Structure Determination—Diffraction data for h528Fv were obtained at the NW-12 beamline at KEK PF-AR (Japan). Crystals of h528Fv were flash-cooled to 100 K by using paratone-N oil as a cryoprotectant. The protein crystallized in the space group P65 with the following unit cell dimensions: a = b = 63.28 and c = 225.34. The resolution was 2.1 Å. Data were processed with HKL2000 and SCALA of the CCP4 program suite (45). The structure of h528Fv was solved by molecular replacement with the MOLREP program of CCP4 (46). The search models used were the VH domain of humanized anti-CD40 ligand antibody (Protein Data Bank code 1I9R) and the VL domain of anti-HIV protease antibody (Protein Data Bank code 1CL7), respectively. After rigid body refinement with the REFMAC program (47), refinement was carried out with the simulated annealing and energy minimization protocols in the CNS1.1 program (48). The model was rebuilt using the Xfit module in XtalView (49) against a composite omit map calculated in CNS. Shape complementarity (SC) coefficients, excluding water molecules, were calculated using SC (50) as implemented in the CCP4 suite with a 1.7-Å probe. Graphics were generated using Pymol (available on the World Wide Web).
Diffraction data for m528Fab were obtained at the BL-6A beamline at KEK PF (Japan). Crystals of m528Fab were flash-cooled to 100 K by using 25% glycerol as a cryoprotectant. The m528Fab crystallized in the space group P62 with the following unit cell dimensions: a = b = 126.60 and c = 68.28. The resolution was 2.3 Å. The structure was determined as described for h528Fv. The search models used were the VH and VL domains of h528Fv and the CH1 and CL domains of anti-TGF
antibody (Protein Data Bank code 1E4X), respectively. Data and refinement statistics are summarized in Table 1.
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The enthalpy changes (
H) and binding constants (Ka) for the antigen-antibody interactions were directly obtained from the experimental titration curves. The Gibbs energy changes,
G =-RT ln Ka, and the entropy changes,
S = (
G +
H)/T, for the associations were calculated from the
H and Ka values. The heat capacity changes (
Cp) were estimated from the temperature dependence of the enthalpy changes.
Estimation of Protein Concentration—The concentration of sEGFR was estimated by using
= 9.53 (cm-1 M-1). The concentration of m528Fv was estimated by using
= 17.2 (cm-1 M-1), and the concentration of h528Fv was estimated by using
= 17.2 (cm-1 M-1) for the wild type and mutants except for those including a Y27D mutation.
= 16.8 (cm-1 M-1) was used for the mutants, including Y27D (52).
| RESULTS |
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The Fv fragments were expressed using an E. coli secretory expression system and were purified from the culture supernatant by immobilized metal affinity chromatography and subsequent size exclusion chromatography. Final yields of m528Fv and h528Fv were
1.0 mg/liter of culture (Fig. 2). For functional characterization of the Fvs, c-Myc peptide tag was fused to the C terminus of both chains. Flow cytometric analyses using some EGFR-positive cells and anti-c-Myc peptide tag antibody 9E10 indicated that both Fv fragments had binding profiles identical to that of IgG, and specific inhibition of the binding of the Fvs to the cell surface antigen by the IgG was confirmed (data not shown) (37-39, 41). These results suggest that m528Fv and h528Fv recognized the same epitope structure of EGFR as the parental 528 IgG.
Thermodynamic Analysis of the Interaction between sEGFR and 528 Antibody Fragments
To investigate the interactions between sEGFR and the antibody fragments constructed, we performed thermodynamic analyses by means of ITC. A Chinese hamster ovary cell expression system was used for production of sEGFR. The molecular weight of the purified sEGFR was confirmed using MALDI-TOF mass spectroscopy. Although the polypeptide chain of sEGFR is estimated to be
68 kDa, the expressed and purified sEGFR had a broad distribution of molecular masses around 90 kDa (data not shown), which suggests that sEGFR was heavily glycosylated. This result agrees with those in previous reports (56, 57).
We carried out an ITC at three temperatures under the conditions described under "Experimental Procedures" (Fig. 3). Thermodynamic parameters (25 °C and pH 7.2) calculated from the titration curves are summarized in Table 3, and the temperature dependence of the enthalpy changes due to binding is shown in Fig. 4. The affinity of h528Fv for sEGFR was less than 1/40 that of the m528Fv fragment (Table 3). At 25 °C, the negative enthalpy change (-
H) of the h528Fv-sEGFR interaction was 18.9 kJ mol-1 less than that for m528Fv binding, and the negative entropy change was
9.6 kJ mol-1 higher. The heat capacity changes (
Cp) of the interactions of m528Fv and h528Fv, estimated from the temperature dependence of the enthalpy changes, were -2.02 and -1.44 kJ mol-1 K-1, respectively.
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The overall structures of m528Fab and h528Fv are shown in Fig. 5. A relatively large groove is present on the CDRs. h528Fv was superimposed on the Fv part of m528Fab. The root mean square (r.m.s.) deviations of the C
atoms between the Fv portions of m528Fab and h528Fv and r.m.s. deviations of the C
atoms when the CDRs were superimposed are summarized in Tables 4 and 5, respectively. The results demonstrate that the overall structure of h528Fv is similar to that of m528Fab, including the CDR structures (Table 5, "All CDRs fit"). No major changes in the CDR loop structures were observed when the CDRs were superimposed (Fig. 6). The structures of these CDRs can be classified into the canonical structural classes (58). CDR-L1 (16 residues) has a 5-amino acid insertion after position 27 and thus belongs to canonical structure 4. CDR-L2 (7 residues) is in the hairpin loop and classified into canonical structure 1. CDR-L3 (9 residues) belongs to canonical structure 1. CDR-H1 (5 residues) and CDR-H2 (17 residues) belong to canonical structures 1 and 2, respectively. CDR-H2 has one amino acid insertion after position 52 and contains a 4-residue loop.
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The contact areas of the VH-VL interfaces for m528Fv and h528Fv were 1569 and 1497 Å2, respectively. The decreases in the contact areas originated mainly from the interactions around residues 39, 42, and 45 in the VH chain (Fig. 7).
Thermodynamic Analysis of Complex Formation of h528Fv Framework Mutants with EGFR
To address the role of the Vernier zone residues in the high affinity of antibodies for their targets, we constructed mutants of h528Fv in which some of the Vernier zone residues were mutated to the corresponding residues of the parental murine antibody. The Vernier zone residues of the VL of h528Fv were completely identical to those of the parental murine one (Figs. 1 and 8); therefore, we focused on the Vernier zone residues of the heavy chain at the following target sites: HTyr27, HMet48, HMet69, HArg71, HThr73, and HAla93 (Fig. 8). Additionally, HArg66, which underlay the CDR-H2 and could have an effect on the conformation of the loop, was selected as the target site. The residues at these sites of h528Fv were substituted with those of m528Fv, and the mutants were prepared as wild type using a bacterial expression system. The mutants constructed are listed in Table 2. Thermodynamic analyses of the interactions between sEGFR and the mutant Fvs were performed by ITC, and the results are summarized in Table 3.
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H) of the association with sEGFR; the
H value was almost the same as that of h528Fv. However, because of the enhanced entropy loss relative to h528Fv, the affinity of Mu1 for the target was not improved by the mutation. The heat capacity change (
Cp) was -2.15 kJ mol-1 K-1, which was 0.1 kJ mol-1 K-1 more negative than that of m528Fv.
Mu2 (HM48I)—Mutation of HMet48 to Ile led to a substantial increase in the negative enthalpy change of the association with sEGFR, and the
H value was almost the same as that of the parental m528Fv. However, because of the enhanced entropy loss, the affinity of Mu1 for the target was not improved by the mutation. The heat capacity change was -3.66 kJ mol-1 K-1, which was 1.6 kJ mol-1 K-1 more negative than that of m528Fv.
Mu3 (HA93T)—Mutation of HAla93 to Thr led to a substantial increase in the negative enthalpy change of the association with sEGFR. However, because of the enhanced entropy loss, the affinity of Mu2 for the target was not improved by the mutation. The heat capacity change was -2.99 kJ mol-1 K-1, which was 1.0 kJ mol-1 K-1 more negative than that of m528Fv.
Mu4 (HR66K/R71V)—We substituted HArg66 and HArg71 with the corresponding residues in m528Fv. These sites are located in the framework H3 region (FR-H3) (i.e. the reverse site of the antigen-binding sites of the CDR-H2). The favorable enthalpy change for Mu1 and Mu2 was almost completely compensated for by the unfavorable entropy change.
Cp of the interaction between Mu4 and sEGFR was almost the same as that of h528Fv.
Mu5 (HM48I/A93T)—We combined Mu2 with Mu3. Substitution of HAla93 with Thr led to reduction of the favorable enthalpy change due to the mutation in H48M. The heat capacity change (
Cp) was -1.50 kJ mol-1 K-1, which was 0.5 kJ mol-1 K-1 more negative than that of m528Fv.
Mu6 (HM48I/R66K/R71V)—We combined Mu2 (HM48I) with Mu4 (HR66KR71V). The negative enthalpy change was increased by 8 kJ mol-1 compared with that of Mu4. The enthalpy change was compensated for by the increase in entropy loss, and thus the affinity for the target was not changed by an additional mutation at site 48 of VH. The heat capacity change (
Cp) was -3.34 kJ mol-1 K-1, which was 1.3 kJ mol-1 K-1 more negative than that of m528Fv.
Mu7 (HY27D/M48I/R66K/R71V)—We combined Mu6 with Mu1 (HY27D). The enthalpic advantage due to the three mutations (HM48I/R66K/R71V) was substantially reduced by substitution of HAla93 with Thr, and the negative value of the heat capacity change (
Cp) was substantially reduced compared with that of m528Fv.
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Mu9 (HR66K/M69K/R71V/T73R)—HMet69 and HThr73 of Mu4 (HR66K/R71V) were substituted with the corresponding murine residues. The mutations increased the negative enthalpy change by -15 kJ mol-1; however, the affinity for the target was not improved. The heat capacity change (
Cp) was -3.15 kJ mol-1 K-1.
Mu10 (HM48I/R66K/M69K/R71V/T73R)—HMet48 of Mu9 was substituted with Ile. The favorable enthalpy changes and entropy loss were reduced by the additional mutation, and no significant change in the Gibbs energy was observed. The heat capacity change (
Cp) was almost identical to that for h528Fv.
| DISCUSSION |
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Thermodynamic Consequences of Mutations in Vernier Zone Residues of h528Fv—For improvement of the affinity or specificity of humanized antibodies, Vernier zone residues of humanized antibodies can be substituted with the residues of murine antibodies. To determine the role of Vernier zone residues of humanized antibodies, we chose the following target sites: HTyr27, HMet48, HArg66, HMet69, HArg71, HThr73, and HAla93 (Fig. 8). First we analyzed four point mutants (Y27D (Mu1), M48I (Mu2), A93T (Mut3), and R66K/R71V (Mut4)), because these sites have already been studied in other antibody systems (62-64). The thermodynamic parameters of the interactions between the mutants and sEGFR indicate that these mutations substantially increased the negative enthalpy changes. However, the mutations improved affinity for the target only slightly, which indicates that unfavorable entropy changes were enhanced. We then combined some mutations; however, we observed no marked improvement of the affinity for sEGFR, although the enthalpic advantage varied depending on the combination of mutations. These results suggest that the effects of point mutations on the affinity were not incremental; thus, combination of mutations may correlate with structural rearrangement of the antigen-binding region of the antibody.
Note that substitutions of Met48 and Ala93 with the corresponding murine residues led to an increase in the negative values of the heat capacity change. Negative heat capacity changes in protein-protein interaction are observed frequently and are believed to result from coverage of the protein hydrophobic surface (65-68). However, pioneering works by Morton and Ladbury (69), Spolar and Record (70), and Frier et al. (65) have suggested the correlation of other factors, such as restriction of water molecules at the interface and recognition-coupled structural changes due to induced fitting (71, 72), with the large negative values of the heat capacity change. The heat capacity changes due to antigen binding of the h528Fv mutants (Mu2, Mu3, Mu6, and Mu9) did not fall within the typical range for antigen-antibody interaction, which suggests significant changes of the structure of water molecules or the binding surface.
Entropy Changes Resulting from Conformational Changes upon Binding of Antibody Fragments with sEGFR—According to the considerations of Murphy et al. (73), the total
S of binding is given by Equation 1,
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Ssolv represents the change in entropy derived from solvent release upon binding,
Sconf is the change in the entropy resulting from conformational changes due to formation of the antigen-antibody complex, and
Scrat is the cratic entropy change.
Ssolv is given by Equation 2,
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Scrat can be considered to have a constant value (-33 kJ mol-1 K-1) (73). It has been suggested that the overall conformational entropy loss is, to a large extent, compensated for by the desolvation entropy. Therefore, the present data can be interpreted as follows.
In the interaction between sEGFR and m528Fv,
Cp is estimated to be -2.02 kJ mol-1 K-1 (Table 3), and from Equation 2,
Ssolv is calculated to be 0.523 kJ mol-1 K-1. From the experimental results, the total entropy change is -0.0977 kJ mol-1 K-1, and
Sconf is estimated to be -0.587 kJ mol-1 K-1 from Equation 1. In the interaction between sEGFR and h528Fv,
Ssolv is estimated to be 0.373 kJ mol-1 K-1, which is 0.150 kJ mol-1 K-1 smaller than the value for m528Fv. This result indicates that the entropic advantage gained by desolvation is reduced by CDR grafting (i.e. humanization). The total entropy change is estimated to be -0.0654 kJ mol-1 K-1, and
Sconf is calculated to be -0.405 kJ mol-1 K-1, which was 0.182 kJ mol-1 K-1 smaller than the value for m528Fv, which indicates that the negative entropy change generated by the conformational changes was substantially reduced. These observations indicate that humanization of m528Fv led to reduction of the entropy loss due to the conformational changes.
We then calculated
Ssolv and
Sconf values of the interactions between sEGFR and the constructed mutants (Table 6). All mutants except for Mu7 and Mu10 had favorable
Ssolv and unfavorable
Sconf values. These results suggest that conformational changes were increased by the mutations and that the entropy loss due to the enhanced conformational changes was not completely compensated for by the increased desolvation entropy change. Note that point mutation of Vernier zone residues led to a substantial increase in the conformational entropy change and that combination of these mutations led to reduction of the conformational entropy loss. For instance, M48I and A93T mutations increased the conformational entropy loss (see Mu2 and Mu3, respectively); however, combination of these mutations (Mu5) led to a decrease in the conformational entropic disadvantage (Table 6).
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S values for the binding of h528Fv and mutants to sEGFR are plotted against the corresponding
H values in Fig. 9. A linear relationship was observed with a slope of 1.04 (correlation coefficient, R2 = 0.993). The dashed line represents an energy compensation line for m528Fv with a slope of 1.00. This linear relationship, referred to as entropy-enthalpy compensation, has been described in many systems 74-78. A favorable enthalpy change of a mutant compared with h528Fv is compensated for by an unfavorable entropy change, and an unfavorable enthalpy change is compensated for by a favorable entropy change, which makes the difference in the free energy change (
G) of antigen binding smaller than expected. In the system we describe here, the values for the free energy of antigen binding for h528Fv and its mutants ranged from -43.7 to -39.8 kJ mol-1, and these values were far from the value for m528Fv (-50.9 kJ mol-1). The energy plot of h528Fv and its mutants showed an apparent compensation relationship (Fig. 9, dashed line), and the plot for m528Fv is far from the line (Fig. 9, solid line). These results suggest the existence of an energetic barrier (79) that originates from enthalpy-entropy compensation and cannot be overcome by mutations in Vernier zone residues. The results of thermodynamic analyses suggest that mutations in the framework regions of the antibody may affect hydrated structures of the antigen-free antibody. Mutations in the Vernier zone residues may contribute to structural adjustment of the CDR regions upon binding; however, enthalpy-entropy compensation may interfere with the improvement of the antibody affinity for its target. Enthalpy-entropy compensation has been observed in previous pioneering studies of the thermodynamics of affinity maturation of antibodies; an energetic barrier originating from the relationship between enthalpy and entropy changes is overcome by an increase in negative enthalpy changes, a decrease in negative entropy changes during the affinity maturation process, or both (80). Note that affinity maturation of antibodies leads to a decrease in the structural changes of the antibody upon binding (81). The present results show that some mutations in the Vernier residues increased the negative heat capacity changes, and this increase may be correlated with changes in the hydrated structures of the antibody.
Conclusions—Our present results indicate that substitution of Vernier zone residues of the humanized anti-EGFR antibody 528 with the corresponding murine residues did not improve the affinity of antigen binding, and thermodynamic analyses suggest that the effects of structural changes due to mutations on the association of the antibody with the target were cancelled out by entropy-enthalpy compensation. These results suggest that Vernier zone residues made enthalpic contributions to antigen binding and that the regulation of conformational entropy changes upon humanization of murine antibodies must be carefully considered and optimized.
Note that the mutated sites in this study were in framework residues and not in the interfacial areas of antigen binding; the CDR residues of m528Fv were completely conserved in h528Fv. Crystal structures of antigen-free antibody fragments clearly indicate that no major conformational changes were introduced into the CDR loop structures by humanization. These observations suggest that the structural rearrangement that occurs when the antibody recognizes the antigen makes a critical contribution to the high affinity of the antibody for its target.
Finally, note that the relative orientation of VH and VL in m528Fv was changed by humanization. A critical contribution of variable domain interactions to high specificity and affinity of antibodies for targets has been proposed (60, 61, 82-84). Structural analyses of the sEGFR-528Fv complexes would allow for precise description of the interaction from structural and thermodynamic viewpoints.
| FOOTNOTES |
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* This work was supported in part by Grants-in-Aid from the Japan Society for the Promotion of Science (to K. T. and I. K.). Additional support was provided through Grants-in-Aid for Priority Areas from the Ministry of Education, Science, Sports, and Culture of Japan and through the Proposal-based R&D Promotion Program and the Industrial Technology Research Grant Program in 2003 from the New Energy and Industrial Technology Development Organization of Japan. The costs of publication of this article were defrayed in part by the payment of page charges. This article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact. ![]()
The on-line version of this article (available at http://www.jbc.org) contains supplemental Table S1 and Fig. S1. ![]()
1 Both authors contributed equally to this work. ![]()
2 Present address: Dept. of Biochemistry and Molecular Biology, University of Chicago, Chicago, IL 60637. ![]()
3 Present address: Dept. of Medical Genome Sciences, Graduate School of Engineering, University of Tokyo, Kashiwanoha, Kashiwa 277-8562, Japan. ![]()
4 To whom correspondence should be addressed. Tel.: 81-22-795-7274; Fax: 81-22-795-6164; E-mail: kmiz{at}kuma.che.tohoku.ac.jp.
5 The abbreviations used are: CDR, complementarity-determining region; CDR-H, CDR in heavy chain; CDR-L, CDR in light chain; EGFR, epidermal growth factor receptor; sEGFR, soluble extracellular domain of human EGFR; m528Fv, variable domain fragment of murine 528 antibody; h528Fv, variable domain of humanized 528 antibody; m528Fab, Fab fragment of murine antibody 528; ITC, isothermal titration calorimetry; VH, heavy chain of variable domain; VL, light chain of variable domain; MALDI-TOF, matrix-assisted laser desorption ionization time-of-flight; Fv, variable domain fragment of antibody; r.m.s., root mean square; SC, shape complementarity. ![]()
| ACKNOWLEDGMENTS |
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| REFERENCES |
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