# Spectroscopic Determination of pKa Constants of MADS Box Segments

Authors: Barbora Řezáčová; Yves-Marie Coïc; Christian Zentz; Pierre-Yves Turpin; Josef Štěpánek
Journal: Spectroscopy: An International Journal
 (2012)

**Keywords:** Factor analysis; dissociation constant; fluorescence spectroscopy; MADS box; tyrosine


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## Abstract

We have introduced a new promising approach for the determination of pKa constants of oligopeptide intrinsic fluorophores and spectral components referring to their differently charged states. The method is based on the factor analysis of multiwavelength spectroscopic pH titration data. As an illustration, we present its application on the study of short segments of the MADS box, which is a highly conserved sequence of a so-called family of transcription factors, by techniques of UV absorption and fluorescence spectroscopies. Investigated oligopeptides contain no tryptophan but one tyrosine serving as an intrinsic fluorophore and absorber. The results indicate both good sensitivity and spectroscopic selectivity of our method, which thus may be considered as a complementary technique to conventional electrochemical methods.


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## Body

## 1. Introduction

Proteins are biological molecules that usually contain amino acids with both acidic and basic functional groups. These amino acids can be divided into several categories according to their residue charge, polarity, and hydrophobicity. Titratable amino acids of the protein may be completely exposed to solution or buried inside the 3D structure of the protein. Their pKa constants are thus influenced by protein folding and may be sensitive to protein oligomerization, binding of ligand, denaturation, and so forth.Determination of pKa constants of proteins is usually done by electrochemical techniques (e.g., polarimetric, potentiometric, and voltammetric titration). Direct techniques such as NMR can be used on small peptides to monitor their ionization state.There are also several methods of computational biology, molecular modelling, and structural bioinformatics, which can be used to estimate roughly the pKa values of titratable amino acids within proteins.In this work, we present a highly sensitive method of pKa determination (complementary to the methods mentioned previously), based on a factor analysis of spectroscopic data, obtained namely from UV-visible absorption and fluorescence measurements. Analogous methodology can though be applied to any other kind of spectroscopic data. It should be mentioned that factor analysis has already been used to determine pKa values of small organic molecules [1, 2]; however, it has not been used to study peptides so far (to our current knowledge).The MADS box family of transcription factors counts over 200 members playing a crucial role in the gene regulation of higher organisms. The MADS box acronym is derived from initials of four of the originally identified members of the family: MCM1, AG, DEFA, and SRF [3]. These transcription factors share a highly conserved DNA binding motif showing a wide sequence homology of 56 amino acids. Still little is known about how targeted DNAs are recognized by these transcription factors. Available structural data reveal that MADS box protein-DNA complexes have a high structure homology, but with differences in the DNA binding process [4–9].Core SRF contains its own intrinsic fluorophores: three tyrosines with different amino-acidic environments. In order to distinguish between these tyrosines and to see the effect of diverse environments, the pH dependency measurements of two small segments of SRF, each containing one tyrosine, were performed by using UV absorption and fluorescence spectroscopies:154KLLRYTTFS162 and 168IMKKAYEL175.


## 2. Materials and Methods

### 2.1. Materials

Synthesis of octamer oligopeptide of sequence Ac-IMKKAYEL-amid, averageMw=1036.30, was carried out according to the Fmoc/tBu solid-phase strategy [10] on a 433A peptide synthesizer (Applied Biosystems-Forster City, CA, USA), using a Fmoc Amide Resin (Applied Biosystems). Mass characterization of the purified peptide (above 98% by RP-HPLC) was consistent with the expected value.HPLC 98% purified oligopeptide Ac-KLRRYTTFS-amid,Mw=1212.43, was purchased from Apigenex (Prague, Czech Republic). Purity and mass weight were tested by HPLC and MS.Spectroscopically pure KOH and HCl were obtained from Normapur and MERCK.


### 2.2. Optical Absorbance and Fluorescence Measurements

Optical absorbance spectra were recorded on a Cary 3E UV-visible spectrophotometer. Fluorescence measurements were performed on a SLM Aminco-Bowman series 2 luminescence spectrometer. The excitation and emission spectral bandwidths used were 4 nm. The optical path length was 1 cm. Upon excitation at 276 nm, both tyrosine and tyrosinate contribute to the fluorescence emission. All fluorescence spectra were corrected for a minor inner filter effect (optical density being bellow 0.1) [11], and contributions of Rayleigh and Raman light scattering were subtracted. Spectra were also corrected (slight intensity renormalization) for the small changes of concentration of oligopeptides resulting from the addition of HCl and/or KOH.Fluorescence and absorption spectra of oligopeptides were measured in the pH range from 3 to 11 at room temperature (20°C). Concentration of the oligopeptide was8·10-5 M. Addition of HCl or KOH caused no precipitation.Measurements of pH were made on a IQ Scientific Instruments pH meter IQ170G equipped with a stainless steel pH probe.


### 2.3. Spectra Analysis

To find out the individual components forming the resulting fluorescence or absorption spectra, we submitted the set of spectraFi(λ) obtained at various pH conditions to factor analysis, that is, singular value decomposition (SVD) algorithm decomposing a set of N spectra into a set of orthogonal normalized spectral profiles Sj(λ),j=1,2,…,N,(2.1)Fi(λ)=∑j=1MVijWjSj(λ),
where the normalized coefficients Vij quote the relative portions of the jth spectral profile Sj(λ) in the original spectra Fi(λ) [12]. The singular numbers Wj stand for the statistical weights of spectral profiles. As the spectral components are ordered to reach a descending succession of singular values, usually a few first terms at the right side are sufficient to approximate the original spectral set within an experimental error. This value of M is referred to as factor dimension. It represents the minimal number of independent components resolved in the analyzed spectral set.In case ofM equal to two (which is actually the case in the present paper), the spectral components attributable to the two different components A and B in the spectra (from either absorption or fluorescence) can be extracted, so that
(2.2)Fi(λ)=FA(λ)*CiA+FB(λ)*CiB,
where FA(λ) and FB(λ) are the spectral components forming the original spectra proportionally to their current concentrations CiA and CiB. These are given by the current pH value as
(2.3)CiA=11+10pH-pKa,CiB=CiA*10pH-pKa,
where pKa is the dissociation constant of the chromophore (here tyrosine).Thanks to the factor dimension of two, bothFA(λ) and FB(λ) components can be well approximated as linear combinations (with coefficients rjA and rjB) of the first and the second SVD spectral profiles
(2.4)FA(λ)=∑j=12rjA*Sj(λ),FB(λ)=∑j=12rjB*Sj(λ).Considering the above-mentioned basic SVD formula forFi(λ) and orthogonality of SVD spectral components, we obtained a final set of 2×N equations
(2.5)WjVij=rjA*11+10pH-pKa+rjB*(1-11+10pH-pKa),i=1,2,…N,j=1,2.
The five unknown parameters (pKa,rjA,rjB;j=1,2) can be solved by means of a simultaneous nonlinear least-square fit of the right sides in (2.5) to the left ones.


## 2.1. Materials

Synthesis of octamer oligopeptide of sequence Ac-IMKKAYEL-amid, averageMw=1036.30, was carried out according to the Fmoc/tBu solid-phase strategy [10] on a 433A peptide synthesizer (Applied Biosystems-Forster City, CA, USA), using a Fmoc Amide Resin (Applied Biosystems). Mass characterization of the purified peptide (above 98% by RP-HPLC) was consistent with the expected value.HPLC 98% purified oligopeptide Ac-KLRRYTTFS-amid,Mw=1212.43, was purchased from Apigenex (Prague, Czech Republic). Purity and mass weight were tested by HPLC and MS.Spectroscopically pure KOH and HCl were obtained from Normapur and MERCK.


## 2.2. Optical Absorbance and Fluorescence Measurements

Optical absorbance spectra were recorded on a Cary 3E UV-visible spectrophotometer. Fluorescence measurements were performed on a SLM Aminco-Bowman series 2 luminescence spectrometer. The excitation and emission spectral bandwidths used were 4 nm. The optical path length was 1 cm. Upon excitation at 276 nm, both tyrosine and tyrosinate contribute to the fluorescence emission. All fluorescence spectra were corrected for a minor inner filter effect (optical density being bellow 0.1) [11], and contributions of Rayleigh and Raman light scattering were subtracted. Spectra were also corrected (slight intensity renormalization) for the small changes of concentration of oligopeptides resulting from the addition of HCl and/or KOH.Fluorescence and absorption spectra of oligopeptides were measured in the pH range from 3 to 11 at room temperature (20°C). Concentration of the oligopeptide was8·10-5 M. Addition of HCl or KOH caused no precipitation.Measurements of pH were made on a IQ Scientific Instruments pH meter IQ170G equipped with a stainless steel pH probe.


## 2.3. Spectra Analysis

To find out the individual components forming the resulting fluorescence or absorption spectra, we submitted the set of spectraFi(λ) obtained at various pH conditions to factor analysis, that is, singular value decomposition (SVD) algorithm decomposing a set of N spectra into a set of orthogonal normalized spectral profiles Sj(λ),j=1,2,…,N,(2.1)Fi(λ)=∑j=1MVijWjSj(λ),
where the normalized coefficients Vij quote the relative portions of the jth spectral profile Sj(λ) in the original spectra Fi(λ) [12]. The singular numbers Wj stand for the statistical weights of spectral profiles. As the spectral components are ordered to reach a descending succession of singular values, usually a few first terms at the right side are sufficient to approximate the original spectral set within an experimental error. This value of M is referred to as factor dimension. It represents the minimal number of independent components resolved in the analyzed spectral set.In case ofM equal to two (which is actually the case in the present paper), the spectral components attributable to the two different components A and B in the spectra (from either absorption or fluorescence) can be extracted, so that
(2.2)Fi(λ)=FA(λ)*CiA+FB(λ)*CiB,
where FA(λ) and FB(λ) are the spectral components forming the original spectra proportionally to their current concentrations CiA and CiB. These are given by the current pH value as
(2.3)CiA=11+10pH-pKa,CiB=CiA*10pH-pKa,
where pKa is the dissociation constant of the chromophore (here tyrosine).Thanks to the factor dimension of two, bothFA(λ) and FB(λ) components can be well approximated as linear combinations (with coefficients rjA and rjB) of the first and the second SVD spectral profiles
(2.4)FA(λ)=∑j=12rjA*Sj(λ),FB(λ)=∑j=12rjB*Sj(λ).Considering the above-mentioned basic SVD formula forFi(λ) and orthogonality of SVD spectral components, we obtained a final set of 2×N equations
(2.5)WjVij=rjA*11+10pH-pKa+rjB*(1-11+10pH-pKa),i=1,2,…N,j=1,2.
The five unknown parameters (pKa,rjA,rjB;j=1,2) can be solved by means of a simultaneous nonlinear least-square fit of the right sides in (2.5) to the left ones.


## 3. Results and Discussion

### 3.1. Absorption Spectra

In the measured region 220–330 nm, both oligopeptides show a characteristic peak at 275 nm typical for tyrosine. Noticeable changes were observed by increasing the pH: the absorption band moved to longer wavelength at 294 nm, with a 1.5-fold increase of intensity (data not shown).


### 3.2. Fluorescence Spectra

In the measured region 290–390 nm, both oligopeptides have a characteristic peak at 303 nm typical for tyrosine. With an increase of the pH, the emission significantly decreases thanks to deprotonation of tyrosine to tyrosinate (see Figure1(a)), which has a much lower fluorescence quantum yield [13] and its emission is shifted to higher wavelengths at about 345 nm [14].Figure 1
Fluorescence pH dependency of the MADS box segment Ac-IMKKAYEL-amid (a), determined fractions (b), normalized emission spectra of the two components—normalization factorNA=0.003, NB=0.201 (c), and factor analysis results (d).


### 3.3. Analysis of pH Dependent Fluorescence Spectra

Results of factor analysis applied on fluorescence spectra of oligopeptide Ac-IMKKAYEL-amid are shown in Figure1(d). We obtained a factor dimension of 2 (the same as for absorption spectra). The first spectral profile S1 represents an average of measured spectra, and the 1st coefficients V1 thus describe the decrease of the overall spectral intensity as a function of pH. The second spectral profile S2, which is about 100 times less significant than the first one, accounts for the main spectral changes. Contribution of this profile is about zero for spectra below pH 7, while above this pH its value increases, as can be seen from the behaviour of the 2nd coefficients V2.By using our method,pKa constants were determined for both fluorescence and absorption data with a good agreement for both oligopeptides. From the oligopeptide Ac-IMKKAYEL-amid absorption we obtained pKa=9,45±0,05, from its fluorescence spectra pKa=9,43±0,06. For oligopeptide Ac-KLRRYTTFS-amid absorption, we obtained pKa=9,01±0,05, and using fluorescence spectra, we calculated pKa=9,03±0,06. This is in good agreement with previous determinations of tyrosine pKa in various oligopeptides [15, 16].In correspondence with our assumptions, we observed that the positively charged amino acids (R: arginines; K: lysines) do shift the dissociation constant of the free-state tyrosine to lower values (the dissociation constant of free tyrosine is 10.07 [15, 17]).Moreover, using this method, we were able to distinguish the two emission components (see Figure1(c)) and their respective fractions (Figure 1(b)). Component A represents the tyrosine emission spectrum (maximum at 303 nm), whereas component B represents the emission of tyrosinate (maximum near 345 nm), which is about 60 times weaker.


## 3.1. Absorption Spectra

In the measured region 220–330 nm, both oligopeptides show a characteristic peak at 275 nm typical for tyrosine. Noticeable changes were observed by increasing the pH: the absorption band moved to longer wavelength at 294 nm, with a 1.5-fold increase of intensity (data not shown).


## 3.2. Fluorescence Spectra

In the measured region 290–390 nm, both oligopeptides have a characteristic peak at 303 nm typical for tyrosine. With an increase of the pH, the emission significantly decreases thanks to deprotonation of tyrosine to tyrosinate (see Figure1(a)), which has a much lower fluorescence quantum yield [13] and its emission is shifted to higher wavelengths at about 345 nm [14].Figure 1
Fluorescence pH dependency of the MADS box segment Ac-IMKKAYEL-amid (a), determined fractions (b), normalized emission spectra of the two components—normalization factorNA=0.003, NB=0.201 (c), and factor analysis results (d).


## 3.3. Analysis of pH Dependent Fluorescence Spectra

Results of factor analysis applied on fluorescence spectra of oligopeptide Ac-IMKKAYEL-amid are shown in Figure1(d). We obtained a factor dimension of 2 (the same as for absorption spectra). The first spectral profile S1 represents an average of measured spectra, and the 1st coefficients V1 thus describe the decrease of the overall spectral intensity as a function of pH. The second spectral profile S2, which is about 100 times less significant than the first one, accounts for the main spectral changes. Contribution of this profile is about zero for spectra below pH 7, while above this pH its value increases, as can be seen from the behaviour of the 2nd coefficients V2.By using our method,pKa constants were determined for both fluorescence and absorption data with a good agreement for both oligopeptides. From the oligopeptide Ac-IMKKAYEL-amid absorption we obtained pKa=9,45±0,05, from its fluorescence spectra pKa=9,43±0,06. For oligopeptide Ac-KLRRYTTFS-amid absorption, we obtained pKa=9,01±0,05, and using fluorescence spectra, we calculated pKa=9,03±0,06. This is in good agreement with previous determinations of tyrosine pKa in various oligopeptides [15, 16].In correspondence with our assumptions, we observed that the positively charged amino acids (R: arginines; K: lysines) do shift the dissociation constant of the free-state tyrosine to lower values (the dissociation constant of free tyrosine is 10.07 [15, 17]).Moreover, using this method, we were able to distinguish the two emission components (see Figure1(c)) and their respective fractions (Figure 1(b)). Component A represents the tyrosine emission spectrum (maximum at 303 nm), whereas component B represents the emission of tyrosinate (maximum near 345 nm), which is about 60 times weaker.


## 4. Conclusions

Using the factor analysis on absorption and fluorescence-monitored titration, we were able to determine thepKa constants of two tyrosine-containing oligopeptides with a high precision as well as absorption and fluorescence spectral profiles corresponding to the differently charged forms. Furthermore, we obtained quantitative information about the effect of a specific environment on pKa of tyrosine, which will help us to better distinguish between the different tyrosines in MADSSRF.The presented methodology is applicable to any oligopeptide bearing at least one pH-dependent photosensitive amino acid or probe and in general can be applied to a vast number of spectroscopic techniques reflecting protonation changes in peptides. Further study on larger oligopeptide segments of SRF will be performed.



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*Source: 674032-2012-07-11.xml*