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Lecture 1 The dimensions of the proteic macromolecules The size of a protein can vary from a dozen to hundreds of Å, depending on the number of domains and amino acids in each domain. In Figure 1 is reproduced the hemoglobin molecule in comparison with other four molecules, two of which (the heme group and the lysine) are part of hemoglobin itself. The hemoglobin can be approximated to a sphere with a diameter of about 60 Å and can be considered a protein of average size. Of the four molecules, the water is the smaller one and can be approximated to a sphere with a radius of 1.4 Å. This sphere is the probe that is scrolled on the surfaces of proteins with known 3D structure, to define the surface accessible to the solvent. Figura 1. Dimension of several molecules in comparison with hemoglobin Structural constrains WE will now take in consideration the structural elements of a proteic macromolecule. The 20 amino acids have a central Cα carbon to which is attached a hydrogen atom, an amino group and a carboxylic acid group. The fourth chemical bond attached to the carbon atom is the side chain of the amino acid . In all amino acids except glycine, the fourth chemical groups linked to Cα are different and therefore all the amino acids except glycine are 1 chiral molecules. The components of protein biosynthesis have evolved to use one of the two chiral forms, and, specifically, the form L. This form can distinguished iby placing the amino acid as in Figure 2, where the Cα-H bond is out of the plan of the paper, the carboxyl is located on the left, the side chain at the center and the amine group on the right, so that they can C_O_R_N read from left to right.. Figura 2. An L aminoacid seen along the H-Cα bond The preference for L aminoacids is one of the structural constraints that impose a limit on the type of 3D structures that a protein can reach. In fact the preferential structures are selected primarily on principles based on energy and structural stability. Moreover, the structure is well correlated with the function, or rather, there is a clear correlation between dynamics structure and function. The protein molecules in fact are not static, but flexible to make the conformational changes necessary to function and carry out a molecular communication between different domains or molecules. The various structural constraints present in a macromolecule will be briefly analyzed. The peptide bond that occurs between two amino acids after removal of a molecule of water is shown in Figure 3. Figura 3. Linear representation of a polypeptide 2 The first structural constraint comes from the peptide bond that it is planar and so it is possible to depict the protein through a series of plans from which emerge the various side chains. So the first constraint is determined by the fact that the peptide bond is forcing a number of atoms to be on the same plan. The reason for the flatness of the peptide bond is purely energetic. As shown in Figure 4, the atoms could be considered to combine to form a double bond between C = O, giving rise to a free rotation around C-N bond, or to form a double bond between C = N, however, causing a strong relocation of charge. Figura 4. Different electronic distribution among the atoms forming a peptide bond The peptide bond originates from an electronic delocalization on the three atoms that are constrained to be on the same plan. The delocalization lead to an energetic stabilization, since the higher the electronic distribution is the highest is the stability. In summary, a protein is the succession of a series of plans that may orient each other and that specifically characterize the protein itself. Another peculiarity of the peptide bond is to have a dipole moment. Indeed, as shown in Figure 5, the bond is characterized by a delocalisation of negative charge near the carbonyl group and a partial positive charge near the amide group. The dipole moment , albeit limited, is not negligible and affect the stabilization of a protein structure, since tit is present for each amino acid and its contribution is particularly important for some secondary structures. 3 Figura 5.Charge delocalization in a peptidic bond The peptide bond, as shown in Figure 6, can be found in the trans configuration or in cis configuration, which are identified by the dihedral angle Ω. To define Ω is necessary to determine two geometrical plans: the first identified by the Ciα C N atoms and the second defined by the C N Cαi + 1 atoms. Ω is the diheidral angle defined by these two plans. The cis configuration is characterized by Ω = 0, and the trans by Ω = 180. Figura 6. The cis e trans: configuration for any couple of aminoacido ( top) and fora an aminoacid couple where the second one is a proline ( bottom) For steric reasons the trans configuration is preferred by a factor of thousand, except when the residue i +1 is a proline. In this case, due to the cyclic nature of the residue, the energy difference is only a factor of 4, so the difference between cis and trans configuration is minimal. Generally, in the protein native state, the proline residues assume the trans configuration. However, in certain situations it can be found in the cis conformation, for example where the polypeptide chain has to change direction. These configurations are stabilized by additional interactions of the tertiary structure. In the denatured state the constraints are lower and the proline residues can be found in both the cis and trans configuration. This implies that during the process of folding a percentage of bonds is in the wrong location, that will require the occurrence of a cis-trans isomerization to reache the desired configuration. The isomerization is a slow process and often limits the rate of folding. In vivo it is accelerated through chaperones called prolyl-isomerase The orientation of two peptide bonds is determined by two dihedrals angles, Φ and Ψ, which can take only defined values. Φ is defined by the four atoms Ci N Cα Ci+1 and 4 allows rotation around the N—Cα, bond, while Ψ is defined by the four atoms N Cα Ci+1 N and allows rotation around the Cα-C bond. The polypeptide chain can be described by a succession of peptidic units represented by plans in which each Cα atom except the first and the last one, belong to two consecutive units (Fig. 7). Figura 7. The Φ e Ψ angles in polypeptide. All atoms belonging to these units are part of the plan. The movement around the N—Cα bond, which sets the angle Φ will rotate all the atoms that are on the plan with N, the rotation around the bond Cα-Ci +1, which defines the angle Ψ, will turn all atoms that are on the plan with Ci +1 (Fig. 8). Figura 8. The Φ and Ψ angles Not all the values of the angles Φ and Ψ are admitted due to steric constraints between the side chain of the amino acids and the main polypeptide chain. The allowed Φ and Ψ angles are identified via the Ramachandran plot, where the values of Φ and Ψ are reported each as function of the other. The Ramachandran plot is the same for all amino acids except for glycine, and 5 proline for the residue preceding the proline, because each side chain has a carbon atom that follows the Cα atom. Figure 9 shows the Ramachandran plot for glicine. It is nearly symmetrical and defines four regions that can be populated with the same probability, since the side chain of glycine is just one atom of hydrogen. Figura 9. Ramachandran plot for a glycine. The situation is different if you consider an amino acid side chain with a more extensive side chain such as alanine. Even very extensive side chains such as phenylalanine or tryptophan have one atom of carbon following the Cα atom, therefore all the aminoacids occupy the same conformational space. (Fig. 10). Figura 10. Values of the Φ and Ψ angles for the main secondary structures Knowledge of the Φ and Ψ angles 6 clearly defines the secondary structure of a protein that derives from the presence of a number of amino acids in which the angles Φ and Ψ have the same value. In particular, when Φ = -57 and Ψ = -47 for a series of repeated amino acids, the secondary structure that they form is an α helix, whereas when Φ = Ψ = -139 and +135, it is typical of an antiparallel β strand. Therefore, two well-defined geometrical parameters allow you to clearly define the secondary structure determined by a polypeptide. In the Ramachandran plot are defined the allowed values of the angles Φ and Ψ, that coincide with the values experimentally found by X-ray diffraction of protein crystals. By analyzing the three-dimensional protein structures deposited in the PDB bank, (which contains the coordinates of three-dimensional structures of proteins) and reporting on a graph the experimental,values of the Φ and Ψ you obtain a graph as the one in fig 11, where the experimental values (represented by dots blacks) fall into the allowed regions. Figura 11. Experimental values of the Φ and Ψ angles There are cases where this rule is partially disregarded partly for functional reasons, namely a destabilizing energy is tolerated if it confers a particular property to the macromolecule. The regions in the Ramachandran plot for the angles Φ and Ψ include the values for which you have a defined secondary structure, which confers stability to a protein. In the case of proteins with a 7 low content of secondary structure, there is always an element of compensation that brings stability, such as the presence of disulfide bridges. The proline The other amino acid for which there is a different Ramachandran plot is the proline (Fig. 12). Figura 12. Representation of a proline In this case, the angle Φ has a fixed value of - 60-while the angle Ψ can take two values: -55 and +145, roughly corresponding to the structure of an α helix and of an antiparallel β-strand respectively. This means that the proline may be in an α helix structure, although it is considered a breaker of this secondary structure. This is due to the fact that the proline strongly influences the values of the Φ and Ψ angles of the residue that precedes it. If this is a glycine, the disruption is minimal because the glycine has the ability to occupy a very lwide conformational regions. In all other cases, eg. An alanine (Fig. 13), the residue has considerable constraints and to the α helix region is not allowed any more. Figura 13. Ramachandran plot for an alanine preceding a proline 8 Then the residue preceding the proline is highly restricted in the conformational space that can hold, and it cannot occupy the region typical of an α helix. The residue of proline, however, may be an initiator of α helices, since the amino acid unable to assume the Φ and Ψ values typical of an α helix is not the proline but the one preceding it. Also the side chains have defined constraints, and so they are usually found in preferential orientations. This can be understood taking into consideration a simple molecule such as ethane (CH3-CH3). Although you can rotate in any direction relative to the CC bond, the more stable structure is the one in which the six atoms of hydrogen are staggered, because in this conformation, the repulsion between them is minimized. Similarly in the case of proteins, the side chains are characterized by the presence of carbon atoms connected by single bonds, along which rotation can occur. Every amino acid can have several configurations, which are determined by the minimization of the repulsion. Again the preferred configurations are those staggered that defines the preferred rotamers. Figure 14, for example, shows the histogram for the preferential values of the torsion Cα-Cβ angle for the inhibitor of bovine pancreatic trypsin. Figura 14. Distribution of the torsion angle Cα-Cβ for the pancreatic trypsin inhibitor The favourite rotamers are those that have a value of the dihedral NCαCβCγ angle equivalent to 60 degree or its multiples that correspond to staggered configurations thar are the most stable. 9 Main properties of the lateral chains We recall briefly some features of the amino acids. Amino acids can be distinguished into different classes in view of their polarità. By varying the criterion for classification it changes the class to which the amino acids belong. Tryptophan and arginine for example, belong to different classes if the parameter is the polarity, but belong to the same class if the classification criterion is the size of side chain. The comparison of the sequence of ortologue proteins allows you to identify the amino acids that are conserved. These amino acids are generally viable and therefore extremely important for the protein from a structural point of view or from a functional point of view, so their elimination would be extremely serious for the stability (structural amino acid) or the mechanism (functional amino acid). There are a number of amino acids that can be substituted without disrupting the structural and functional properties of the protein. There are others that can be substituted, but only maintaining the chemical and physical characteristics of the side chain. Sometimes substitutions are compensatory in the sense that we must consider at least pairs of amino acids because a mutation is correlated with the mutation of another one. As previously stated, to consider the general characteristics of amino acids is not enough to assess its polarity. The polarity is an important factor, since the proteins are in an aqueous environment, but also tehe size is a relevant factor, as a large side chain can be replaced only by another of comparable size. The variation in size affects the stability of a protein and is another important parameter of comparison between amino acids present in the same position in ortologue proteins. Another factor to consider is the frequency with which a given amino acid is represented within the proteins. Not all amino acids are represented in the same way: there are amino acids that are not very frequent while others have a much higher frequency, as shown in Table I. An amino acid having a low frequency is, for example, cysteine, which has a SH group which is highly reactive. The reactivity is useful when limited to the active site of an enzyme, because it allows you to assign a specific function, but a highly reactive chemical group, located in the wrong location, can give rise to a series of reactions that can lead to the destabilization of the protein and thus its subsequent degradation. 10 Tabella I. Aminoacid frequency inside proteins Amino acids such as alanine or leucine have high frequency, they are inert amino acids, are used to create structural skeletons and can be used in multiple places as a basis on which build more reactive and functional amino acids. Thus, the frequency of amino acids is related to their importance and their function. Its value depends on the type of protein. If the table of frequencies is built taking into account only a defined class of proteins such as metalloproteins, the distribution would be different since cysteine and histidine are the preferred ligands of metals and thus are highly represented in this class of proteins. The table shows that the frequency of tryptophan is low. This stems from the fact that it is a very bulky amino acid that can be accomodated only in defined regions. It has preferential some preferential location, for example, in membrane proteins, it is often present between the lipid and the aqueous phase. The tryptophan acquires a different frequency if analyzed on protein membrane. The choice of a database of specialized proteins produces a distorted vision or better a vision only representative of the observed class. It may be useful to examine the characteristics of certain amino acids in order to understand the different roles they can play in a protein. The glycine (Fig. 15) is the amino acid that has less constraints. Figura 15. Representation of a glycine. 11 Since it is the smallest amino acid, one might assume that it can be replaced by any other amino acid. A comparative analysis of ortologue proteins indicates that the position occupied by glycine is often preserved, indicating that it plays a crucial role in determining the structure of a protein. This is due to its low steric hindrance and to its ability to take unusual dihedral angles values.It is often found in turns, where the protein changes its direction of propagation. The alanine (Fig. 16) is the most neutral aminoacid relative to the region that can occupy. The frequency of attendance is high, the amino acid is non-polar and can adapt itself to many situations. Figura 16. The alanine. Branched amino acids (Fig. 17) have more steric constraints and are suitable to build the hydrophobic core or skeleton of a protein. Figura 17. The branched aminoacids 12 In a protein structure and function are related in the sense that a given structure is associated with a specific function. It is also true that some regions of the protein are appointed to provide stability while others are appointed to confer functionality. Therefore, the structural skeleton is provided, in general, by amino acids with a high content of secondary structure andthefunction by different amino acids, which often are on loops, or on regions characterized by a relatively high mobilità. . Figura 18. aminoacids The aromatic The aromatic amino acids are relatively bulky, but all have a CH2 group bifore their ring, which gives a Ramachandran plot comparablefor all of them. In Figure 18 the three aromatic amino acids, able to absorb electromagnetic waves in the ultraviolet region, are represented. The aromatic rings give rise to orbitals among which transitions once interacting with electromagnetic waves. The aromatic amino acids can then act as endogenous optical probes to obtain structural information on the state of the protein itself. The interaction of a protein with the electromagnetic radiation and, in particular, the absorption and emission spectroscopy represents a powerful approach to obtain structural/functional informations on protein molecules, because it allows to investigate the molecule in solution, without damaging the molecule itself. The comparison of the characteristics of the electromagnetic wave before and after the interaction with the macromolecule can be used to obtain meaningful data regarding the structure of the macromolecule itself. The length of the electromagnetic waves can range from radio frequency to Xrays, and different informations can be obtained depending on its length. Through the spectrum of absorption or emission of aromatic amino acids, you can get information on local structure, namely on the structure of the region in proximity of tyrosines or tryptophans, which are responsible for the observed 13 signal. The proline (Fig. 19) is an amino acid that is often found in turns and is then used to introduce changes in the direction of propagation of the polypeptides chain. Figura 19. The proline. Figure 20 represents polar amino acids, whose main characteristic is that of forming hydrogen bonds through their side chain. They are important in defining the molecular recognition and in the stabilization of the structure of the macromolecule. Figura 20. The polar aminoacids 14 The histidine is formed by an imdazolic ring separated from the Cα by a CH2 group (Fig. 21). It is often present in the active sites. Figura 21. The histidine. The ring may take three forms depending on pH: protonated, partially deprotonated and completely deprotonated. In the protonated form, that is positively charged, the imidazole ring has a proton on both nitrogen atoms. The pK of the first deprotonation is 6.7. The histidine can then move from a protonated to a partial deprotonated form at pH around the neutralità, permitting a transfer of protons. The ring is then characterized by a second pK at around pH 14, which leads to a completely deprotonated form that is negatively charged. The chemical reactivity Some amino acids have a high chemical reactivity. Cysteine is the amino acid showing the highest reactivity, a feature that is used in the procedures of chemical modification of proteins. Until the'70s the study of proteins was strongly based onthe external chemical modification of the proteins themselves. Subsequently, the introduction of recombinant DNA technology has led to a different experimental approach, so that the amino acid, instead of being chemically modified, is replaced by site-directed mutagenesis. Recently the approach of site directed mutagenesis coupled with chemical modification is widely used. For example, the cysteine is introduced in a systematic way to perform chemical modification of its side chain to introduce a defined probe. Indeed, cysteine, in addition to being a highly reactive amino acid, is the only one to have an SH group. This implies that the cysteine may be subjected to a 15 selective chemical modification not involving other amino acids. Moreover, the possibility of introducing this specific amino acid in defined positions through recombinant DNA technology permits to obtain information on known and defined regions. Lysine (Fig. 22) is another reactive amino acid. At neutral pH, it is positively charged, and it is often found on the outer surface of a protein, often involved in salt bridges with negatively charged groups. At basic pH the lysine deprotones, the group passes from NH3+ to NH2 becoming a nucleophile. This confers a strong reactivity and at basic pH lysine can undergo reactions such as alkylation and acylation. Figura 22. The lysine Methionine (Fig. 23) is an amino acid that can react with methyl iodide (Fig. 24) to give rise to a chain with a doublelinked methyl on the sulfur atom. The reaction may be reverted adding thiols, to eliminate one of the two CH3 groups. Figura 23. The metionine. Figura 24: Reaction of metionina with CH3I; oxidation reaction. 16 Statistically in 50% of the molecules will be removed the new inserted group, and in the other 50%, the previously existing one. This procedure may be useful to selectively mark a methionine. For example, you can add a CH3 with a radioactive carbon or 13C, which is visible by NMR, and then restore the initial conditions, having 50% of molecules labeled on CH3. The introduction of an external probe has the inherent problem of the perturbation, as the chemical modification,introducing a chemical group, implies a possible structural perturbation. The introduction of a probe for local information, can disrupt the structure of the molecule and thus ensure that the information obtained is no longer that due to the native conformation. The case of chemical modification of methionine is one of the few cases where it is possible to introduce a probe without causino perturbation. Methionine is also susceptible to oxidation, which can occur in two steps: the first is reversible, while the second is irreversible and causes permanent damage to the protein itself, which becomes more easily degradable (Fig. 24). The most reactive aminoacid is the cysteine (Fig. 25). Reactivity is due to the presence of the thiol group that is reactive in the deprotonated form. The reactivity is then high for pH greater than 8 when the group will be in the deprotonated,form although the pK of this group can be strongly influenced by its environment. Figura 25. The cysteine At partial alkaline pH cysteine can react with double bonds, for instance, can react covalently with N-etilmaleimmide (Fig. 26). Figura 26. Reaction of cysteine with Netilmaleimmide. 17 The maleimmide is a group that is used very often for the reaction of cysteine and it is used to insert different reporter groups. The frequency of the presence of cysteine in a protein is very low, as in about one hundred amino acids it is usually present only one cysteine. In order to introduce a probe in a specific position it is necessary to have a single cysteine. This can be achieved firstly removing all the cysteines present in the native form by mutagenesis (the serine is the replacing aminoacid generally better tolerated) and checking that the functional properties are not perturbed. Then it is possible to introduce a single cysteine in defined regions and make a systematic study through the introduction of a selective probe. An useful chemical modification is the one with the mercury benzoic acid, which allows the introduction of an aromatic ring with defined pH dependent absorption properties since its extinction coefficient ε varies with pH (Fig. 27). Figura 27. Reazione della cisteina con acido mercuro benzoico. 1 The extinction coefficient ε is a characteristic property of a chromophore absorption at a defined wavelength, for example, ε255 mean molar extinction coefficient at 255 nanometers. A macromolecule with an internal chromophore is able to absorb light with a wavelength in response to radiation. In the specific case in which in the cuvette there is a protein molecule modified with mercury benzoic acid, if the sample is irradiated with a wave of intensity I0 and wavelength of 500 nm, no changes will be obseved and the same intensity I0 will be observed before entering and after leaving the sample. When the sample is irradiated by a wavelenght of 255 nanometers, the intensity of the outgoing radiation I will be lower than the incoming one I0, because 18 part of it will be absorbed by the sample. The logarithm of the ratio I0/I correspond to the absorbance. The absorbance is related to the extinction coefficient ε via the relation A = εcl, where c is the concentration of the sample and l is the length of the cuvette. The c is expressed in molar and l in cm. As the absorbance is dimensionless, ε has the dimension of M-1 cm-1. For a very long cuvette, the absorbance will be greater, compared to a small cuvette. In the case of mercury benzoic acid, the extinction coefficient ε is a few thousand, a relatively high value. High extinction coefficients indicate that the transitions are allowed and, in this case are more allowed at neutral pH than at acidic pH. 19 Two cysteines may react one with another and create what is called a disulfide bridge (Fig. 28), obtained by oxidation of two thiolic groups. The reaction is reversible, as in the presence of a reducing agent, the disulfide bridge is reduced in two cysteine. The disulfide bridge confers stability and can be engineered within a protein to increase stability, but to be formed, defined geometric conditions must be respected and the system must be in a partially oxidizing environment. Figura 28.A disulfide bridge In Figure 29 ishows another thiolic groups reagent, the ditiobisnitrobenzoic acid (DTNB), often used for determining the number of cysteines present in a protein. Figura 29. Reaction of a cysteine with DitiobisNitroBenzoic acid (DTNB). The DTNB is able to react by generating a mixed disulfide in which a sulfur atom is provided by the protein and one by the reagent. Its reactivity with cysteine is high. The DTNB is used to determine the presence and number of cysteines in a protein The quantification is made measuring the absorption, because the anion that is released is capable of absorbing electromagnetic wave length at 412 nm with an ε of 13,600 M-1cm-1, a value which makes possible the quantification even of a low concentrated protein solution. The 20 mixed disulfide can be reduced through the addition of a reducing agent, such as ditiotretolo (DTT), which releases a new anion with similar absorption characteristics. Then, after the titration of the cysteine of the protein by reaction with DTNB, you can check the number again, reducing the protein with DTT and showing that the absorbance that emerges is identical to that obtained by titration with DTNB. The reactivity, or its speed, is a reporter of the microenvironment, as it gives information on the availability of the side chain to react. The factors that can modulate the reactivity of an amino acid are shown in Figure 30. Figura 30. Factors modulating the reactivity rate of an aminoacid. The pH is an important issue, for example lysine and cysteine, require a relatively alkaline pH to be reactive. The deprotonation of a group depends on its pK, determined by the microenvironment, i.e. by the distribution of chemical groups around the single amino acid . This suggests that following the reactivity as a function of pH may provide information on the pK of the group and its chemical surrounding. The three elements that modulate the pK of a chemical group are: •-electrostatic factors: the presence around a position of positive or negative changes strongly influente the pK of the group ; •-solvation: the accessibility of the group to the solvent and its dielectric constant modulate the capacity of the group to react with external agents, •-hydrogen bonds: a group engaged in hydrogen bonds with other molecular partners, has more difficulty in reacting with an external agent In addition, an amino acid, to be reactive, must be accessible to the reagent and thus steric factors are certainly important. 21 The chemical modification allows the 'insertion of exogenous probes, which can introduce perturbation as well. When possible, it is preferable to use intrinsic probes, in order to prevent the introduction of exogenous molecules. Spectroscopic properies of aromatic aminoacids The aromatic amino acids, which have a characteristic absorption and fluorescence spectrum (Fig. 31), are an excellent example of endogenous probes. Figura 31. Absorption spectrum of a tryptophan and a tyrosine. The absorption at 280 nm, the wavelength at which the aromatic residues absorb, is widely used to quantify the concentration of a protein. Each protein has a defined extinction coefficient at this wavelength, depending on the number of aromatic hydrocarbons and their chemical surrounding. The environment is indeed able to modulate the intrinsic extinction coefficient of each aromatic group. The two amino acids that have the highest extinction coefficient are the tryptophan and tyrosine, as reported in Table II which shows the coefficients corresponding to the absorption maximum for tryptophan, tyrosine and phenylalanine. For both tyrosine and tryptophan the maximum is centered at around 280 nm and the intensità is about 4 times higher in tryptophan (Table II). Tabella II. Parametri spettroscopici degli aminoacidi aromatici. 22 In figura 32 the absorption spectra of the aromatic aminoacids are reported Figura 32. Absorption spectra of the aromatic residues. The extinction coefficient of phenylalanine is 200 M-1cm-1, an order of magnitude lower than that of tyrosine and tryptophan and therefore negligible, but the shape is very articulate and can contribute to the final shape of the absorption spectrum. In the case of tyrosine, the absorption spectrum depends on the pH value, since the hydroxyl group looses the proton at high pH values. The shape of the spectrum changes strongly with pH and in figure 32 it can be seen that atalkaline pH it has a maximum at 295 nm, while at acid / neutral pH, at this wavelength, there is not absorption. At alkaline pH the band at 295 nm is characterized by an extinction coefficient ε of 2500 M-1cm-1. An example of the information coming from the absorption spectrum of a protein is reported in Figure 33, where the change in the absorption spectrum as a function of pH in the UV region of the ribonuclease protein is reproduced Figura 33. Absorption at 295 nm in ribonuclease as a function of pH. 23 In detail: the absorption spectrum was followed at a wavelength of 295 nm, ie the wavelength where the tyrosine absorbs at alkaline but not at neutral pH. This implies that the absorption spectrum at neutral pH of a protein, not having tryptophans, is completely silent at 295 nm. The figure shows the value of the extinction coefficient at 295 nm as a function of pH. The value of the extinction coefficient is equal to 2500 M-1cm-1 when a single tyrosine iscompletely deprotonated, equal to 5000 M-1cm-1 when two tyrosines are fully deprotonated and so on. At pH values around 11/11.5 the observed extinction coefficient is 7500 M-1cm-1 . This result indicates that, starting from pH 6 and reaching pH 11, three tyrosine are titrated and that for this protein there are three accessible tyrosine that are titratable within the pH considered. So in the absence of knowledge on the protein structure, measuring the absorption as a function of pH, it is possible to demonstrate the presence of three tyrosine with a pK around 10 and then TITRATABLE in pH ranging from 6 to 11 / 11.5. This is confirmed by the fact that the titration is completely reversible. Indeed, lowering the pH from pH 11 to 6, we obtain a spectrum identical to that obtained by increasing from 6 to 11. This suggests that these changes in pH did not irreversibly disturbed in the structure of the protein, but resulted only in a reversible reactions of protoation and deprotonation. When the pH is further increased, from pH 11 to pH 13, the absorbance (and therefore the coefficient of extinction) continues to increase and, at pH 13, the extinction coefficient is 15,000 M-1cm-1. This means that three other tyrosines were titrated, as the extinction coefficient has been doubled from 7500 M-1cm-1 at 15000 M-1cm-1. This result implies the presence of six tyrosine: three reveribly titratable within pH 11, the other three deprotonable only at higher pH and thus probably only irreversibly. In fact, bringing the pH 13 to neutral pH, the absorption spectrum is not identical to that obtained increasing the pH. This means that the initial condition is reached through a different path and that the phenomenon is not reversible. To deprotonatethe other three tyrosine was necessary a large conformational change that partially denature the protein itself. The three tyrosines are inaccessible to the solvent in the native state, so that their accessibility can be achieved only by protein denaturation. This example has shown that the acquisition of the absorption spectrum in the UV region as a function of pH can give information on the quantity and accessibility of tyrosine residues within a protein. In this case the first three tyrosine are accessible to solvent: hey are three amino acids that have the side chain exposed to solvent and therefore characterized by a pK typica of an unscreened tyrosine. By contrast, the other three tyrosines are in an environment masked by other residues and thus can deprotonate only after d 24 proteindenaturation. In Table II, in addition to the absorbance maximum, also the fluorescence maximum of the aromatic amino acids are reported Fluorescence spectroscopy is an emission spectroscopy that, like the absorption spectroscopy can provide information on the local structure of a protein macromolecule. The phenomenon of fluorescence is due to the radiative emission of the absorbed radiation. When radiation is absorbed, the absorbent system is brought from the ground state to an excited and the system can return to its initial state dispersing the absorbed energy. The energy can be dissipated in various ways, the most usual one being heat dissipation. When the system returns to the ground state emitting a radiation the phenomenon is called fluorescence (Fig. 34). Figura 34. Sheme of the relaxation processe from an excited state. The fluorescence is a technique much more powerful than optical absorption and allows the execution of sophisticated experiments that can give nformation both on the structural and dynamical properties of a protein. A feature that can be exploited to provide information regarding the position of fluorescent probes is the dependence of the wavelength of emission from the accessibility of the probe to solvent. Figure 35 describes the dependence of the wavelength of emission of the indole group to the composition variation of two different solvents: cyclohexane and ethanol. Figura 35. Solvent effect on the emission wavelength of an indolic group 25 Initially, the indole is dissolved in cyclohexane and has an emission spectrum centered at 300 nm. Increasing the percentage of ethanol, which is a relatively polar solvent, the emission spectrum shifts to longer wavelengths centered at 350 nm when dissolved in pure ethanol. This result indicates that the indole feels the solvent and that the energy levels are rearranged, reaching different energies depending on the solvent. In ethanol the emission wavelength increases so that the energy difference between the two levelsinvolved in the emission process decreases. The emission spectrum of tryptophan depends on its location in a hydrophobic or hydrophilic environment. In this experiment the ethanol represents the hydrophilic environment and cyclohexane the hydrophobic one. Because the wavelength of the emission spectrum is strongly influenced by the environment, the spectrum provides direct information on the chemical environment of the chromophore. Figure 36 shows the emission spectrum of a protein that in the native state has a tryptophan that is located within the hydrophobic core, completely shielded from the solvent, compared to the spectrum of the same protein after denaturation when the tryptophan is accessible to solvent. Figura 36. Fluorescente spectrum of a protein in the native and denaturated state Table III shows the emission maximum of proteins that contain a single tryptophan. The maximum varies from protein to protein and indicates that its solvent accessibility. In azurin the tryptophan is completely shielded and inaccessible to solvent while the tryptophan in glucagon is located on the surface of the protein. In the latter case, the tryptophan is not a good probe to monitor the process of denaturation of the protein itself. 26 Tabella III.Emission maximum of proteins containing a singe tryptophan 27