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Acta Biochim Biophys

Sin 2008, 40: 663-669

doi:10.1111/j.1745-7270.2008.00443.x

Modulation of

allostery of pyruvate kinase by shifting of an ensemble of microstates

J. Ching Lee*

Department of

Biochemistry and Molecular Biology, The University of Texas Medical Branch at

Galveston, Galveston, Texas 77555-1055, USA

Received: June 10,

2008       

Accepted: June 11,

2008

This work was

supported by grants from the National Institutes of Health (GM77551) and the

Robert A. Welch Foundation

*Corresponding

author: Tel, 409-772-2281; Fax, 409-772-4298; E-mail, [email protected]

Since the introduction of the concepts of

allostery about four decades ago, much advancement has been made in elucidating

the structure-function correlation in allostery. However, there are still a

number of issues that remain unresolved. In this review we used mammalian

pyruvate kinase (PK) as a model system to understand the role of protein

dynamics in modulating cooperativity. PK has a triosephosphate isomerase (TIM)

(a/b)8 barrel structural motif. PK is an ideal system to

address basic questions regarding regulatory mechanisms about this common (a/b)8 structural motif. The simplest model accounting for

all of the solution thermodynamic and kinetic data on ligand-enzyme

interactions involves two conformational states, inactive ET and active ER. These conformational states are

represented by domain movements. Further studies provide the first evidence for

a differential effect of ligand binding on the dynamics of the structural

elements, not major secondary structural changes. These data are consistent

with our model that allosteric regulation of PK is the consequence of

perturbation of the distribution of an ensemble of states in which the inactive

ET and active ER represent the two extreme end states.

Sequence differences and ligands can modulate the distribution of states

leading to alterations of functions. The future work includes: defining the

network of functionally connected residues; elucidating the chemical principles

governing the sequence differences which affect functions; and probing the

nature of mutations on the stability of the secondary structural elements,

which in turn modulate allostery.

Keywords        allostery; thermodynamics; protein dynamics; protein fold;

human genetics

One of the major aims of the post-genomic era is to establish the

correlation between protein structural folds and functions. The premise is

based on the assumption that protein folds are designed for specific functions,

analogous to the early concept of one gene for one function. However, it is

soon recognized that diverse functions are carried out by proteins with

essentially identical folds but different sequences. Many protein structural

folds have been identified, for example, the various folds involved in signal

transduction [13]. The chemical principles behind these observations are still

unclear. Thus, we focus on the investigation of the chemical principles that

govern the relationship linking sequence-fold-function.We have chosen the biological phenomenon of allosteric regulation as

the focus to tackle the issue of fold-function correlation. The rationale for

the choice is that allostery is a predominant regulatory mechanism and an

allosteric system consists of a variety of functions that can be modulated by a

change in sequence.An ideal system that has an outstanding chance for revealing the

chemical principles of allostery should consist of the following properties: (1)

Structure: defined at the atomic level; (2) Function: identified linked

reactions that lead to allostery; (3) Identities of natural mutants that affect

allostery. Rabbit muscle pyruvate kinase (RMPK) consists of properties that

satisfy these criteria.The outstanding features that make RMPK an ideal system are: (1) The

allosteric behavior can be modulated from a non-allosteric to an allosteric

form; (2) Only 22 amino acid changes out of 530 residues per subunit are

required to accomplish this significant functional change; (3) No significant

structural changes in PK are associated with these changes in residues [4,5].Pyruvate kinase has a triosephosphate isomerase (TIM) (a/b)8 barrel structural motif [69]. Although, there is a paucity of knowledge

on the chemical ground rules on how its functions are regulated, PK is an ideal

system to address basic questions regarding regulatory mechanisms about this

common (a/b)8 structural motif [10]. Muscle PK is a homo-tetramer [1114], as shown in

Fig. 1. Each subunit consists of 530 amino acids and multiple domains.

In each subunit, there is a complete set of binding sites to bind the

substrates [ADP and phosphoenolpyruvate (PEP)], inhibitor (Phe) and activator

(fructose-1,6-bisphosphate, FBP), as shown in Fig. 2. The active site

resides between the A and B domains and at a long distance from the effectors

binding sites that are distributed throughout the subunit structure. Thus, the

regulatory mechanism of RMPK involves communication through distant sites. The

tetrameric RMPK communicates through two intersubunit interfaces mainly between

adjacent A domains and C domains. The only amino acid sequence differences

between the mammalian allosteric kidney PK and

the non-allosteric muscle PK isozymes are located in the C-domain

and are involved in intersubunit interactions (Figs. 1,2). Thus,

embedded in these two isoforms of PK are the rules involved in engineering the

popular TIM (a/b)8 motif to modulate its allosteric properties.

Functional Linkage Scheme of

Allostery for RMPK

As a result of a series of extensive steady-state kinetic,

equilibrium and solution structural studies, a concerted, allosteric model was

developed for quantitative interpretation of the kinetic and equilibrium

binding data of RMPK [1518]. The simplest model accounting for all of the experimental data

involves two conformational states, inactive ET and

active ER, shown in Fig. 3. E, S, P and I are enzyme, substrate (PEP

or ADP), product (pyruvate) and inhibitor (Phe), respectively.The upper and lower faces of the cube contain all of those species

assuming ER and ET state, respectively. The species are

interconnected with equilibrium constant, L=[ET]/[ER]; KR and KT are the ligand binding 

equilibrium constants associated to the ER and ET state, respectively, while KI and KS are the equilibrium constants associated with the binding of

inhibitor Phe and substrate, respectively. The conceptual significance of this

model is that the two states are in a pre-existing equilibrium, L. This crucial

aspect of the model was independently substantiated by published reports

[19,20]. The distribution of ligands bound to these two states is defined by

their respective equilibrium constants to these states. The ligands shift the

state changes in PK by mass action. This model differs from models that assume

a mechanism consisting of a ligand induced state change not in a pre-existing

equilibrium. The simple model shown in Fig. 3 is not adequate to account

for the experimentally defined energy landscape of the linked equilibria that

govern the enzymatic reactions. Added novel features are derived from global

analysis of calorimetric and fluorescence data. These features are: (1)

Coupling between the bindings of ADP and Phe; (2) Temperature dependence of the

preferential binding of ADP to the ER or ET state of PK; (3) At high temperature, ADP actually prefers binding

to the inactive ET state. The consequence is a more sigmoidal

response of PK activity to fluctuation of substrate concentration (Herman and

Lee, unpublished data).In summary, our thermodynamic studies have established

quantitatively the intricate network of interactions among ligands and PK.

Structural Properties of the ER and ET States

The transition between the ER and ET state of RMPK can be monitored by sedimentation velocity or gel

filtration techniques [15,21]. These results imply significant changes in the

quaternary structure of the enzyme. To characterize this change in global

structure of RMPK, we studied the effects of ligands on the structure of RMPK

by small angle neutron scattering [22]. The radius of gyration, RG, decreases by about 1  in

the presence of substrate PEP but increases by the same magnitude in the

presence of inhibitor Phe. When the scattering data were analyzed as a function

of P(r) versus r, where P(r) is the frequency

distribution of all the point-to-point pair distances, and r is distance

between the scattering centers of the particle, the results indicate that the

increase in RG is associated with a pronounced increase in

the probability for interatomic distance between 80 and 110 , shown in Fig.

4 (upper panel). With the aid of computer modeling, these changes in

interatomic distance are consistent with the rotation of the B domain relative

to the A domain, leading to the closure or opening of the cleft between these

domains as a consequence of binding to PEP and Phe, respectively, as shown in

the lower panel of Fig. 4. These results show that one of the dynamic

motions in RMPK includes changes in domain-domain interaction between A and B

domains.We further studied the structural perturbations by Fourier transform

infrared (FT-IR) spectroscopy [23], shown in Fig. 5. The experiments

were designed to monitor the secondary structure of RMPK in the presence of

saturating amounts of various ligands. Mg2+ is a

divalent cation essential for activity. PEP and ADP are the two substrates,

whereas Phe is the inhibitor. Fig. 5 shows that in all experimental

conditions there is no significant change in the areas encompassed by the peaks

assigned to either a or b structures. This implies that there is no detectable conversion of

secondary structure of PK in the presence of all of these ligands. A closer

examination of Fig. 5 shows that the maximum wavenumber associated with a-helix remains

the same, whereas that of the b-strand shifts as a function of ligand. In the presence of Mg2+, PEP and ADP, the maximum wavenumber is less than that in buffer

alone or Phe. These results imply that the local environments of the b-strands are

perturbed by these ligands, although the amount of b strands has not changed.

The origin of the differential perturbations by ligands in the environments of

secondary structures might be the modulation of structural dynamics of RMPK.

Thus, the structural dynamics of RMPK in the presence of various ligands was

probed by H/D exchange monitored by FT-IR. The second derivative spectra as a

function of time of H/D exchange were monitored and compared. The spectra in

the presence of K+ and Mg2+ were

compared with those of RMPK in buffer. They show that the basic pattern of

exchange was retained. However, a larger change in intensity was observed even

at the 1-min time point. These results imply that the activating metal ions

induce an increase in the number of rapidly exchangeable amide protons. The

presence of either PEP or ADP shows a pattern of exchange that is quite similar

to each other, namely, a very rapid exchange was observed in both the helices

and sheets. There is a clear indication of the presence of two different

populations of helices. The change in the second derivative spectra reflecting

the amide proton exchange in the presence of Phe showed that within the time

frame of the experiment no exchangeable amide proton was detected in the b-sheets, an

observation that differs from that of the helices. Thus, these H/D exchange

experiments show that substrates (ADP or PEP) and activating metal ions (Mg2+) lock PK in a more dynamic ER

structure, whereas Phe exerts an opposite effect.These results provide the first evidence for a differential effect

of ligand binding on the dynamics of the structural elements, not major

conformational changes, in RMPK. These data are consistent with our model that

allosteric regulation of RMPK is the consequence of perturbation of the

distribution of an ensemble of states in which the observed change in RG represents the two extreme end states. Sequence differences

and ligands can modulate the distribution of states leading to alterations of

functions.

Composite Effects in the Model

of Allostery Induced by the 22 Residues that Differ between the Isozymes of PK

Composite Effects in the Model

of Allostery Induced by the 22 Residues that Differ between the Isozymes of PK

The differences in the various parameters of the allostery model

induced by the 22 amino acids that are different between the RMPK and rabbit

kidney PK (RKPK) isozymes are summarized in Table 1. It is apparent that

a change of <5% of amino acids in strategically important structural elements

leads to changes in allosteric parameters. Six out of nine parameters are

affected and the magnitude of changes is significant, up to 1000-fold. Thus, a

change in a small number of residues has a major impact on the behavior of the

RMPK.These changes are not elicited either by changes in the sequences

involving the active sites or by changes in the other ligand binding sites.

These changes in the binding constants of ligands are strictly elicited by

changes of 22 amino acids in a localized region, as shown in Figs. 1 and

2. These amino acids are located in the C-domain of each subunit and are

obviously involved in intersubunit interactions. They are far removed from the

active sites and yet changes in these residues lead to very significant changes

in the allosteric properties of the enzyme including favoring the ET state and higher affinities of substrate and inhibitor to both

states.

Effects of Single Residue

Mutation Derived from the 22 Amino Acids that Differ between the Isozymes

S402P

In our study, to elucidate the role of each of these 22 residues in conferring

allosteric properties to the RMPK, we mutated residue 402 of RMPK from S to P,

in accordance with the difference in sequence between the two isozymes.

Converting S402 to P changes neither the secondary, nor the tetrameric

structure [24]. The S402P RMPK mutant exhibits steady-state kinetic behavior

that indicates that it is more responsive to regulation by effectors, as shown

in Fig. 6. The data are shown as initial enzyme velocity versus substrate

PEP concentration. The sigmoidicity of the curves is a reflection of

cooperativity of substrate binding. The RMPK data show almost no sigmoidicity,

as expected for an enzyme exhibiting little allosteric behavior, whereas the

RKPK shows pronounced sigmoidicity. The data for the S402P RMPK are

intermediary to the muscle and kidney isozymes. The presence of 12 mM inhibitor

Phe shifts the curve to the right, as expected, since Phe would shift the

conformational state equilibrium towards ET, which

has a weaker affinity for PEP. The presence of 10 nM activator FBP in addition

to 12 mM Phe shifts the curve to the left. In RMPK, it would require millimolar

concentrations of FBP to achieve the same effect. Thus, a S402P mutation

confers partial restoration of allosteric behavior to the RMPK. We have elucidated the atomic structure of the S402P RMPK variant by

X-ray crystallography [25]. Although the overall S402P PK structure is nearly

identical to the wild-type (WT) structure within experimental error, significant

differences in the conformation of the backbone are found at the site of

mutation. We found that the ratio of B-factors of mutant/WT provides a good

representation of the pattern of long range communications between distant

sites [25]. The most obvious increase in B-factor in the S402P PK is around the

residue 402 indicating a significant increase in dynamics in that region. There

are also significant changes in the ratio of B-factor for residues 50 to 200.

In addition, there is an increase in the number of heterogeneity in the angle

assumed by the B-domain with respect to the A-domain (i.e., increase dynamics

in domain movements). Closer examination of the X-ray data shows a disruption

of a salt bridge between residues 341 and 177 of an adjacent subunit. This salt

bridge and residue 402 reside in different subunit interfaces. Thus, these

structural data show a communication between these two different subunit

interfaces. A similar conclusion was derived from the results of our study of

subunit assembly [26,27]. It is evident that a mutation at residue 402 leads to

increased dynamics in distant sites through long range communication without

significant changes in secondary structures.

Establishment of Functional

Coupling among Residues

T340M RMPK mutant

In an effort to establish functional coupling among residues in

RMPK, we incorporated into our studies the human genetic data [2833]. Our choice

of residue 340 is based on the combined results of our structural studies and

human genetic data. The crystallographic structures of yeast and mammalian PK

have identified two intersubunit interfaces [4,5,1114,34], one involves the

C-domain while the other comprises mainly the A domain, as shown in Fig. 1.

In our modeling study we have further identified the residues whose inter-a carbon

distances are within 15  [35] along the

axis between the adjacent A-domains. These include residues 330350. Human

genetic data identified T340M as a mutant that is observed in patients

suffering from pyruvate kinase deficiency. The T340M RMPK and RKPK mutants are only half as active as the WT PKs. The T340M

RMPK enzyme is more susceptible than RKPK to

inhibition by Phe or to the activator FBP. Evidently the 22 residues in the

C-domain modulate the effect of residue 340, which reside in different subunit

interfaces. The result is a differential effect on the functional energetics of

PK. This study demonstrates the linkage between distant residues in different

interfacial interactions (i.e. establishing the functional coupling among

residues and the identities of these residues) [24,26,27].

Prospectus

Although we were successful in discovering that protein dynamics are

intimately coupled to allostery and the effect of differences in protein

sequence on the functional energy landscape of PK, there are serious

limitations: (1) Identification of connectivity among residues to modulate

functions is a very time consuming effort and is limited to a pair at a time.

It is very inefficient trying to establish the goal of defining the network of

functionally connected residues; (2) Even if the complete network has been

identified, we might not have gained deeper insight into the chemical

principles involved in these results that are basically simply phenomenological.

It is difficult to assign significance in sequence differences to the chemical

principles that govern the changes in functions (i.e. failure to establish the

ground rules in linking sequence-fold-function). Hence, our future direction of

research on RMPK focuses on: (1) Cast both structure and function in terms of

energetics, allowing us to correlate the energy landscapes; (2) Elucidate the

chemical principles governing the sequence differences that affect functions.

Probe the nature of mutations on the stability of the secondary structural

elements, for example, N- and C-caps of helices, helices and loops; (3) Use the

algorithm such as COREX/BEST [3641] to probe the connectivity among distant

residues. Probe the changes in this connectivity pattern due to mutations; (4)

Integration of results from 1 to 3 will enhance our chances to identify the

chemical principles that govern the correlation of sequence-fold-function.

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