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REVIEW ARTICLE
Multisite proteinphosphorylation–from molecular
mechanisms tokinetic models
Carlos Salazar and Thomas Ho
¨
fer
Research Group Modeling of Biological Systems (B086), German Cancer Research Center (DKFZ), Im Neuenheimer Feld 280, Heidelberg,
Germany
Introduction
Signal transduction networks are formed, in large part,
by interacting protein kinases and phosphatases.
Phosphorylation of proteins by kinases (or dephosphor-
ylation by phosphatases) provides docking sites for
interaction partners or triggers conformational changes
that alter a protein’s enzymatic activity or its
interactions with other proteins or DNA. These altered
enzymatic and⁄ or interaction properties may transmit
signals in various ways. For example, protein kinases
activated by phosphorylation can themselves phosphor-
ylate target proteins (e.g. receptor ⁄ receptor-associated
tyrosine kinases, mitogen-activated protein (MAP)
kinase cascades). Phosphorylation status can deter-
mine the subcellular localization of a protein (e.g. by
Keywords
enzyme processivity; kinetic proofreading;
mathematical models; order of phospho-site
processing; ultrasensitivity
Correspondence
C. Salazar, Research Group Modeling of
Biological Systems (B086), German Cancer
Research Center (DKFZ), Im Neuenheimer
Feld 280, 69120 Heidelberg, Germany
Fax: +49 6221 54 51487
Tel: +49 6221 54 51383
E-mail: c.salazar@dkfz-heidelberg.de
T. Ho
¨
fer, Research Group Modeling of
Biological Systems (B086), German Cancer
Research Center (DKFZ), Im Neuenheimer
Feld 280, 69120 Heidelberg, Germany
Fax: +49 6221 54 51487
Tel: +49 6221 54 51380
E-mail: t.hoefer@dkfz-heidelberg.de
(Received 15 January 2009, revised 4 March
2009, accepted 27 March 2009)
doi:10.1111/j.1742-4658.2009.07027.x
Multisite phosphorylation is an important mechanism for fine-tuned regula-
tion of protein function. Mathematical models developed over recent years
have contributed to elucidation of the functional consequences of a variety
of molecularmechanisms involved in processing of the phosphorylation
sites. Here we review the results of such models, together with salient
experimental findings on multisiteprotein phosphorylation. We discuss
how molecularmechanisms that can be distinguished with respect to the
order and processivity of phosphorylation, as well as other factors, regulate
changes in the sensitivity and kinetics of the response, the synchronization
of molecular events, signalling specificity, and other functional
implications.
Abbreviations
ASF ⁄ SF2, alternative splicing factor; BAD, Bcl-XL ⁄ Bcl-2-associated death promoter; CDK, cyclin dependent kinase; DYRK, dual-specificity
tyrosine-regulated kinase; EGF, epidermal growth factor; ERK, extracellular signal-regulated protein kinase; ITAM, immunoreceptor tyrosine-
based activation; MAP kinase, mitogen-activated protein kinase; MEK, MAPK ⁄ ERK kinase; N-WASP, neuronal Wiskott–Aldrich syndrome
protein; NES, nuclear export signal; NFAT, nuclear factor of activated T cells; NLS, nuclear localization signal; PDE3B, cyclic nucleotide
phosphodiesterase 3B; RS, arginine-serine repeats; SH2 domain, Src homology 2 domain; SP, serine–proline repeat; SRPK, serine-arginine-
rich protein kinase; SRR, serine-rich regions; TCR, T-cell receptor; ZAP-70, zeta-chain-associated protein kinase 70.
FEBS Journal 276 (2009) 3177–3198 ª 2009 The Authors Journal compilation ª 2009 FEBS 3177
controlling nuclear import ⁄ export in Janus kinase/
signal transducer and activator of transcription (Jak/
Stat) and nuclear factor jB (NFjB) pathways). In tran-
scriptional regulation, phosphorylation events control
the binding of specific transcription factors to their regu-
latory sequence elements, as well as the action of RNA
polymerase. Proteins can also be targeted for degrada-
tion through multisitephosphorylation (e.g. the yeast
cell-cycle regulator Sic1).
Phosphorylation affects a very large number of intra-
cellular proteins, and is arguably the most widely stud-
ied post-translational modification [1]. An important
(and as yet not fully resolved) question in this regard is
how many of the observed proteinphosphorylation sites
are specifically regulated and serve a regulatory function
[2]. Given that there are approximately 500 protein
kinases in the human genome [3], which are themselves
regulated by and have in all likelihood at least one spe-
cific target, the number of regulatory phosphorylation
sites must be in the thousands or even higher. It is thus
not surprising that abnormal protein phosphorylation
events have been observed in many human diseases,
including cancer, diabetes, hypertension, heart attacks
and rheumatoid arthritis [1].
Phosphorylation ⁄ dephosphorylation has been con-
sidered as a fundamental on ⁄ off switch for protein
function. In the last decade, however, it has become
clear that many proteins harbour multiple phosphory-
lation sites, and this can considerably expand the
repertoire for combinatorial regulation or fine-tuning
of switch properties [4–6]. Phosphoproteome analyses
have shown that most phosphoproteins in eukaryotic
cells contain more than one phosphorylatable site [7]
(Phospho.ELM database, http://phospho.elm.eu.org).
Several proteins with 10, 20 or even more (regulatory)
phosphorylation sites are known [6,8]. Multiply phos-
phorylated proteins are found in a great variety of
cellular processes; they include membrane receptors
(e.g. growth-factor receptors [9] and the T-cell receptor
complex [10]), ion channels (e.g. the Kv2.1 potassium
channel in mammalian neurons [11]), protein kinases
(e.g. MAP kinases [12,13] and Src family kinases [14]),
adaptor proteins (e.g. SH2-domain containing leuko-
cyte protein of 76 kDa [15], Vav [16] and LAT linker
of activated T cells [17] in hematopoetic cells), cell-
cycle regulators (e.g. Sic1 [18], Cdc25 [19] and Sld2
[20] in budding yeast), circadian clock proteins (e.g.
frequency protein, FRQ [21] in the bread mold Neuro-
spora), transcription factors (e.g. Pho-4 in budding
yeast [22] and nuclear factor of activated T cells
(NFAT) in mammalian cells [23]), transcriptional coac-
tivators (e.g. PC4 [24]), RNA polymerase II [25],
histones [26], splicing factors [27], and others. Overall,
serine phosphorylations are the most abundant
(approximately 86% of all phosphorylation sites in
HeLa cells), followed by threonine (12%) and tyrosine
phosphorylations (2%) [7]. With respect to kinetics,
tyrosine phosphorylations generally occur faster during
cell signalling than serine ⁄ threonine phosphorylations.
For example, upon addition of epidermal growth
factor (EGF) to HeLa cells, most tyrosines become
phosphorylated within 1 min, while threonine and
serine phosphorylations require up to 10 min [7].
Compared tophosphorylation of a single residue,
multisite phosphorylation increases the possibilities for
regulating protein function very considerably. A protein
with N phosphorylation sites can exist in 2
N
phosphory-
lation states. Each such state may have a different func-
tional characteristic. For example, the Src family
kinases have at least two regulatory Tyr phosphoryla-
tion sites, one activating and the other inhibitory, so
that there are four (2
2
) different phosphorylation states
of these residues. Accordingly, Src kinases may exist in
several distinct states of enzymatic activity (additionally
depending on protein–protein interactions, some of
which are also governed by phosphorylation) [14]. On
the other hand, for larger N, the number of possible
states becomes so high that it is unlikely that each one
has specific functional properties (e.g. for N = 10, there
are 1024 phosphorylation states). The reduction of such
high-dimensional phosphorylation state spaces to a
smaller number of functional states may occur on two
levels. First, the molecularmechanisms of phosphoryla-
tion may realise only a subset of the possible states. For
example, for a strictly sequential phosphorylation mech-
anism (and reverse-order dephosphorylation), there are
only N + 1 phosphorylation states instead of 2
N
. Sec-
ond, several individual phosphorylation sites may coop-
erate in effecting a functional outcome (e.g. through a
conformational change), such that it is primarily the
number of phosphorylated sites that counts rather than
their specific location. Both types of dimensionality-
reduction mechanisms do indeed occur in protein
phosphorylation, as detailed below. Nevertheless the
occurrence of many phosphorylation states (especially
in random phosphorylation ⁄ dephosphorylation mecha-
nisms) is an important factor shaping both dose–
response curves and kinetics.
These rather basic considerations already make it
clear that in-depth analysis of the mechanisms and
functions of multisiteproteinphosphorylation requires
mathematical modelling. Both general mathematical
analyses of multisitephosphorylation [28–36] and
models of specific systems [12,13,37–46] have bee pub-
lished in recent years. Here we review these theoretical
developments within the context of salient experi-
Multisite proteinphosphorylation C. Salazar and T. Ho
¨
fer
3178 FEBS Journal 276 (2009) 3177–3198 ª 2009 The Authors Journal compilation ª 2009 FEBS
mental findings on the molecularmechanisms of protein
regulation by phosphorylation. This comparison high-
lights several questions for further modelling as well as
experiments required for progress in the quantitative
understanding of multisiteprotein phosphorylation.
Biological model systems
To provide a background for the theoretical section,
we briefly introduce three experimental model systems
that highlight various mechanistic and functional
aspects of multisite phosphorylation.
Recruitment and activation of signalling proteins
at plasma membrane receptors
In response to extracellular stimuli, many plasma
membrane receptors are phosphorylated at multiple
tyrosine residues that provide docking sites for signal-
ling proteins. A particularly intriguing example is
signalling through the T-cell receptor (TCR) complex.
The subunits of the TCR together contain 20 regula-
tory tyrosine residues located pairwise in ten immuno-
receptor tyrosine-based activation (ITAM) motifs [10].
Following binding of a cognate ligand (an antigen–
major histocompatibility complex), these tyrosine resi-
dues become phosphorylated by the Src kinase Lck,
and in turn another tyrosine kinase, zeta-chain-asso-
ciated protein kinase 70 (ZAP-70), binds strongly to
ITAMs containing two phosphotyrosines (Fig. 1A).
The recruited ZAP-70 adopts an open conformation,
and becomes activated by several tyrosine phosphory-
lations (catalysed by Lck and by ZAP-70 trans-auto-
phosphorylation). These events form the beginning of
a cascade of phosphorylation events that are thought
to be critical for a T cell’s ability to discriminate
between a cognate antigen (triggering an immune
response) and self-peptides (for which a response
would be detrimental) [10,47].
Nuclear transport and DNA binding of
transcription factors
Multisite phosphorylation regulates the activity of tran-
scription factors at several levels, such as subcellular
localization, DNA binding affinity and transcriptional
activity (reviewed in Ref. [6]). An example of such multi-
level regulation is provided by the transcription factors
of the NFAT family, NFAT1–4, which reside in the
cytoplasm of unstimulated cells in a highly phosphory-
lated state (Fig. 1B) [48,49]. In response to calcium-
mobilizing stimuli, several conserved serine residues (13
in NFAT1), located in serine-rich regions (SRR) and
serine–proline repeats (SP), are dephosphorylated by
calcineurin [23]. In NFAT1, dephosphorylation of the
SRR1 motif (and possibly also of the SP2 and SP3
motifs) induces exposure of a nuclear localization
sequence (NLS), promoting nuclear import of NFAT.
Full dephosphorylation is needed for maximal DNA
binding of NFAT. Dephosphorylation of NFAT by cal-
cineurin is counteracted by several kinases, among them
CK1, GSK3 and dual-specificity tyrosine-regulated
kinases (DYRKs). Experiments suggest the existence of
a preferential order of phosphorylation and dephos-
phorylation. DYRKs phosphorylate the SP3 motif, thus
Fig. 1. Prototypical examples of multisitephosphorylation in signal
transduction and cell-cycle regulation. (A) Receptor proteins. Bind-
ing of a high-affinity ligand to the T-cell receptor (TCR) leads to
phosphorylation of ITAM motifs at two tyrosine sites, to which the
kinase ZAP-70 binds via its tandem Src homology 2 (SH2) domains.
(B) Transcription factors. Dephosphorylation of the transcription fac-
tor NFAT (nuclear factor of activated T cells) by calcineurin (CaN) at
several Ser residues induces a conformational change that exposes
a nuclear localization signal (NLS), leading to nuclear localization of
NFAT, its binding to DNA, and maximal transcriptional activity.
NES, nuclear export signal. (C) Cell-cycle inhibitors. The cell-cycle
inhibitor Sic1 requires phosphorylation by the cyclin-dependent
kinase Cdc28 on at least six sites before it can be ubiquitinated by
the Cdc4 ⁄ SCF complex and degraded by the 26S proteasome.
C. Salazar and T. Ho
¨
fer Multisiteprotein phosphorylation
FEBS Journal 276 (2009) 3177–3198 ª 2009 The Authors Journal compilation ª 2009 FEBS 3179
priming further phosphorylation of the SP2 and SRR1
motifs by GSK3 and CK1, respectively [50]. Dephos-
phorylation of the SRR1 motif appears to increase the
accessibility of the SP motifs to calcineurin [23]. NFAT
kinases are activated by distinct signalling pathways,
and may be differentially regulated in the cytoplasmic
and nuclear compartments.
Cell-cycle regulation
Multisite phosphorylation is prominent in regulation
of the cell cycle, in particular at the G
1
⁄ S transition.
In yeast, the cyclin kinase inhibitor Sic1 must be phos-
phorylated on at least six of nine Ser ⁄ Thr residues by
a cyclin-CDK complex during G
1
phase before binding
to the SCF
Cdc4
ubiquitin ligase [18,51,52]. This, in
turn, leads to ubiquitination of Sic1, its degradation
by the proteasome, release of the S-phase cyclin-depen-
dent kinase from inhibition, and, finally, the onset of
DNA synthesis (Fig. 1C). The number of phosphory-
lated sites appears to be more important than the iden-
tities of the individual residues for SCF
Cdc4
binding.
Any combination of six phosphorylated sites is suffi-
cient for Sic1 degradation. While singly phosphory-
lated Sic1 binds to SCF
Cdc4
very weakly, multiply
phosphorylated Sic1 can bind efficiently, presumably
by increasing the local concentration of interaction
sites around the SCF
Cdc4
binding surface. It has been
suggested that multisitephosphorylation can act as a
counting mechanism that ensures the proper timing of
critical cell-cycle transitions [51]. Interestingly, another
multiple protein modification, multi-ubiquitination,
also plays a central role in the cell cycle [53].
Quantitative data
Experimental data on the dynamics of key phosphory-
lation events in signal transduction and other cellular
processes are essential for the development of accurate
quantitative models and therefore for a mechanistic
understanding of cellular behaviour. Biochemical
approaches, such as immunoblotting with phospho-
specific antibodies, are routinely used for monitoring
(previously identified) phosphorylation sites, and many
studies based on this technique have yielded valuable
mechanistic insight (e.g. [54]). Mathematical modelling
frequently requires quantitative information (e.g. what
fraction of a given protein is phosphorylated) that is
cumbersome to obtain in this way. Higher throughput
can be achieved with antibody microarrays [55], while
flow cytometric analysis of intracellular phosphopro-
teins provides single-cell resolution and high sensitivity
that cannot be achieved with immunoblotting [56].
However, all these methods require appropriate anti-
bodies to known phosphorylation sites. Radionucleo-
tide incorporation experiments may also provide
accurate information about phosphorylation kinetics
[27], but are time-consuming to perform. Mass spec-
trometry allows both large-scale analysis and the
identification of novel phosphorylation sites and phos-
phoproteins not previously known to be involved in
cellular signalling [7,8,57]. Information about phos-
phorylation sites obtained in large-scale screens has
been incorporated into searchable databases such as
Phosphosite (http://www.phosphosite.org), Swiss-Prot
(http://us.expasy.org/sprot) and Phospho.ELM (http://
phospho.elm.eu.org). Mass spectrometric data for
protein phosphorylation may be very useful for kinetic
analysis and modelling, although rather few applica-
tions exist to date (e.g. [7, 23]). Time-resolved high-
resolution NMR spectroscopy has been used recently
to study mechanistic questions regarding multisite pro-
tein phosphorylation [58,59]. We discuss below which
type of data are required to establish kinetic models.
Molecular mechanisms of multisite
phosphorylation
The presence of multiple phosphorylation sites raises
new mechanistic questions compared to the case of sin-
gle phosphorylation. These pertain to (a) the order in
which individual sites are phosphorylated and (b) the
number of enzyme binding events required. A third
mechanistic aspect, which is relevant both for
single- and multisite phosphorylation, is whether the
counteracting kinase(s) and phosphatase(s) compete
for binding to the target protein. We also discuss how
cooperativity can arise in multiply phosphorylated
proteins, and the role played by subcellular compart-
mentalization.
Order of phospho-site processing
The order in which phosphorylation sites in a protein
are acted on by kinases and phosphatases determines
the possible phosphorylation states (Fig. 2A).
Although it has generally been difficult to obtain such
information experimentally at the required resolution,
inferences have been drawn regarding the order of
phospho-site processing in several cases. Sequential
phosphorylation has been suggested for several kinas-
es, especially Ser ⁄ Thr kinases [60–68]. When dephos-
phorylation also follows a fixed order, strictly
sequential or cyclic mechanisms of phosphorylation
arise, depending on whether the last site to be phos-
phorylated is the first, or the last, to be dephosphoryl-
Multisite proteinphosphorylation C. Salazar and T. Ho
¨
fer
3180 FEBS Journal 276 (2009) 3177–3198 ª 2009 The Authors Journal compilation ª 2009 FEBS
ated. Both types of mechanism have been proposed,
one for NFAT and the other for rhodopsin [38,69].
Alternatively, a particular site may be modified irre-
spective of the phosphorylation state of the other sites,
giving rise to essentially random phosphorylation and
dephosphorylation.
Combinations of random and sequential mechanisms
are possible. For example, it is conceivable that phos-
phorylation of a protein is random while dephosphory-
lation is sequential, e.g. for the MAP kinase ERK2
[41,70,71]. A particularly interesting mixed case has
been suggested for the yeast cell-cycle regulator Sld2,
Fig. 2. Mechanistic aspects of multisite phosphorylation. (A) Order of phospho-site processing. Phosphorylation sites can be modified fol-
lowing a strict order. The last site to be phosphorylated may be the first (sequential mechanism) or the last (cyclic mechanism) to become
dephosphorylated. Alternatively, the sites can be modified in a completely random manner. In some cases, multiple sites must be randomly
phosphorylated before a site with a specific function becomes accessible to the kinase (hierarchical mechanism). (B) Enzyme processivity.
The enzyme can modify all the sites without intermediate dissociation from the substrate (processive kinetics), or, conversely, must bind
and dissociate repeatedly before all residues become phosphorylated (distributive kinetics). (C) Competition effects. At low enzyme concen-
trations, the distinct phosphorylation forms of the substrate may compete for binding the enzyme, while counteracting enzymes may
compete for binding the substrate at low substrate concentrations. (D) Conformational changes and cooperativity. The dynamic equilibrium
between distinct functional conformations may be affected by the phosphorylation state of the protein. In the example shown, phosphoryla-
tion of each site increases the probability of a closed conformation with a higher affinity for the kinase, which accelerates the remaining
phosphorylation steps (cooperative kinetics). (E) Compartmentalization. Phosphorylation sites exerting distinct functions can be modified by
kinases localized in distinct subcellular compartments. In the example shown, the subcellular localization of a substrate is regulated by
cytoplasmic and nuclear kinases.
C. Salazar and T. Ho
¨
fer Multisiteprotein phosphorylation
FEBS Journal 276 (2009) 3177–3198 ª 2009 The Authors Journal compilation ª 2009 FEBS 3181
for which random phosphorylation of multiple
Ser ⁄ Thr residues appears to allow the eventual phos-
phorylation of a critical threonine, possibly through a
conformational change (hierarchical mechanism) [20].
The various mechanisms differ considerably in the
number of phosphorylation states they generate.
Sequential mechanisms have a linear dependence on
the number (N) of phosphorylation sites (strictly
sequential: N + 1; cyclic: 2N), while the number of
states grows exponentially (2
N
) for random mecha-
nisms. The difference is considerable: for 13 regulatory
sites (as in NFAT1 [23]), there would be 8192 possible
phosphorylation states in the case of a random mecha-
nism but only 14 states for a strictly sequential mecha-
nism. Below we analyse the consequences of such
differences for the regulatory properties of the protein.
The amino acid sequence can determine the order of
phosphorylation (see Table 1). In particular, a consen-
sus sequence for a kinase may occur repetitively, thus
establishing a hierarchy in the phosphorylation. For
example, yeast kinase SRPK family kinases, which are
implicated in RNA processing, sequentially phosphory-
late Ser residues in consecutive arginine-serine (RS)
dipeptide repeats [63,64]. Moreover, the substrate spec-
ificity of certain kinases may depend on (or be
enhanced by) nearby residues phosphorylated by
another kinase (priming kinase). Phosphorylation of
the serine S or threonine T in the (S/T)XXX(Sp ⁄ Tp)
motif by the kinase GSK3 requires priming by another
kinase that phosphorylates the Sp ⁄ Tp site [60–62]. In a
sequence of appropriately spaced serines, only the first
may need to be primed, while the remaining are then
sequentially phosphorylated by GSK3. Priming
phosphorylation facilitates the binding of a second
kinase either by creating specific docking sites, chang-
ing the substrate conformation, or dislodging the sub-
strate from the cell membrane [65–69]. An interesting
example of such a dual-enzyme mechanism is found in
the canonical Wnt ⁄ b-catenin pathway, where sequen-
tial phosphorylations of the Wnt co-receptor lipo-
protein receptor-related protein 6 (LRP6) and the
transcriptional cofactor b-catenin by the kinases GSK3
and CK1 mirror each other. Sequential phosphoryla-
tion of b-catenin by CK1 and cytosolic GSK3 anta-
Table 1. Consensus sequences and docking motifs for some kinases and phosphatases. PP1, protein phosphatase; PTP1B, protein tyrosine
phosphatase 1B; SHP2, Src homology domain-containing protein tyrosine phosphatase 2.
Enzyme Consensus sequences Docking motifs Other characteristics
Ser ⁄ Thr kinases
Calmodulin-dependent
protein kinase II (CaMKII)
RXX(S
⁄
T)– –
Casein kinase 1 (CK1) (Sp/Tp)XX(S
⁄
T) – Primed substrate
(D ⁄ E)XX(S
⁄
T)– –
Casein kinase 2 (CK2) (S
⁄
T)XX(Sp ⁄ Tp) – Primed substrate
(S
⁄
T)XX(D/E) – –
Glycogen synthase kinase 3 (GSK3) (S/T)XXX(Sp ⁄ Tp) – Primed substrate
Protein kinase B (PKB ⁄ Akt) RXRXX(S
⁄
T)– –
Protein kinase C (PKC) (S
⁄
T)X(K ⁄ R) – –
Tyr kinases
EGF receptor kinase X(D ⁄ E)YX– –
Abl tyrosine kinase (I ⁄ V ⁄ L)YXX(P ⁄ F) – SH2 domain
Ser ⁄ Thr phosphatases
Dual-specificity protein
phosphatase 6 (DUSP6)
TpXYp – –
PP1 – RVXF
FXXRXR
–
PP2A, PP2C RRA(Sp
⁄
Tp)VA – –
Calcineurin (PP2B) – PXIXIT –
Tyr phosphatases
PTP1B E(Y ⁄ F ⁄ D)Yp
RDXYXTDYYpR
––
SHP2 YpASI
YpIDL
– SH2 domain
Amino acids are indicated by the one-letter code; X indicates any amino acid; Sp, Tp and Yp indicate phosphoserine, phosphothreonine and
phosphotyrosine, respectively. Interchangeable residues at a given position are grouped within parentheses, and separated by forward
slashes. The target residues are in bold.
Multisite proteinphosphorylation C. Salazar and T. Ho
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3182 FEBS Journal 276 (2009) 3177–3198 ª 2009 The Authors Journal compilation ª 2009 FEBS
gonizes Wnt ⁄ b-catenin signalling, whereas plasma mem-
brane-associated GSK3 primes further LRP6 phos-
phorylation by CK1 in response to Wnt stimulation
and activates Wnt ⁄ b-catenin signalling [65].
To achieve high specificity, many protein kinases
and phosphatases recognize their targets through inter-
actions that occur outside of the active site [72]. Tyro-
sine kinases and phosphatases often utilize dedicated
interaction domains, such as SH2 and SH3 domains,
that are distinct from the catalytic domain [14,73,74].
Specific docking interactions may also occur in the cat-
alytic domain but outside of the catalytic site, as found
for many serine ⁄ threonine kinases and phosphatases
[72]. These mechanisms appear to contribute in some
cases to sequential processing of the phosphorylation
sites.
The three-dimensional structure of the substrate
may also affect the order of (de)phosphorylation.
Random phosphorylation may be linked to the
adoption of a flexible or unfolded structure by the
target protein so that several residues become equally
accessible to the kinase. In some cases, the order of
phosphorylation is not determined by structural
factors but rather by the activation kinetics of the
participating kinases. For example, Ser ⁄ Thr phos-
phorylation of the EGF receptor by several down-
stream kinases such as the MAP kinases ERK1/2
and p38 shows delayed kinetics compared to auto-
phosphorylation of the EGF receptor on multiple
tyrosine residues [7].
Processivity of phosphorylation
Kinases (or phosphatases) may differ in the number of
binding events required to phosphorylate (or dephos-
phorylate) all target sites on a protein (reviewed in
Ref. [75]). A kinase may bind to the substrate and
phosphorylate all the sites while staying bound (pro-
cessive mechanism) (Fig. 2B). Conversely, the kinase
may bind, phosphorylate one residue and dissociate, so
that next phosphorylation first requires re-binding of a
kinase molecule (distributive mechanism).
Although some proteins clearly follow one of these
two models (see Table 2), the processive and distribu-
tive mechanisms are the extremes of a continuous
spectrum. For example, the cyclin-CDK complex
Pho80 ⁄ Pho85 phosphorylates the yeast transcription
factor Pho4 on five serines, with a mean of approxi-
mately two phosphorylation events per enzyme–sub-
strate binding [76]. The degree of processivity depends
on the relative time scales of enzyme dissociation and
catalytic reaction [77], and can be quantified as follows:
the probability that an enzyme proceeds to modify the
Table 2. Enzyme processivity and order of phospho-site processing for some substrates. ASF/SF2, alternative splicing factor; ATF2, activating transcription factor 2; CDK, cyclin dependent
kinase; MEK, MAPK/ERK kinase; MKP3, mitogen-activated protein kinase phosphatase 3; SRPK, serine-arginine-rich protein kinase.
Substrate
name
Type of
substrate Enzyme name (phosphorylated sites)
Type of
enzyme
Order of phospho-site
processing Enzyme processivity
Other
characteristics Reference
b-catenin Transcription
cofactor
CK1 (Ser45) GSK3 (Thr41,
Ser37, Ser33)
Ser ⁄ Thr kinases Sequential phosphorylation
(dual-kinase)
? – [130,131]
ERK2 MAP kinase MEK (Thr183,Tyr185) Thr ⁄ Tyr kinase Random phosphorylation Distributive phosphorylation– [41,70]
MKP3 (Thr183,Tyr185) Dual specificity
(Thr ⁄ Tyr)
phosphatase
Sequential dephosphorylation Distributive dephosphorylation – [71]
ATF2 Transcription
factor
p38 (Thr69, Thr71) Ser ⁄ Thr kinase Random phosphorylation Distributive phosphorylation– [46]
ASF ⁄ SF2 Splicing factor SRPK1 (10 Ser sites) Clk ⁄ Sty
(20 Ser sites)
Ser kinase Sequential phosphorylation Processive phosphorylation Stable kinase-
substrate complex
[27,64,87]
p130Cas Focal adhesion
protein
Scr (15 repeats of YXXP motif) Tyr kinase Random phosphorylation Processive phosphorylation SH3 domain [7,73]
RNA
polymerase II
– Abl (25–52 repeats of
YSPTSPS motif)
Tyr kinase ? Processive phosphorylation SH2 domain [25,132,133]
Pho4 Transcription
factor
a
Pho80 ⁄ Pho85 (five Ser sites) Ser/Thr kinase Sequential phosphorylation Semi-processive
phosphorylation
– [22,76]
Sic1 CDK inhibitor
a
Cdc28–Cln1,2 (nine Ser ⁄ Thr sites) Ser ⁄ Thr kinase Random phosphorylation Distributive phosphorylation– [18,51]
a
cyclin-CDK complex.
C. Salazar and T. Ho
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FEBS Journal 276 (2009) 3177–3198 ª 2009 The Authors Journal compilation ª 2009 FEBS 3183
next site before it dissociates is k
cat
⁄ (k
cat
+ k
off
), where
k
off
and k
cat
are the dissociation rate constant and the
catalytic rate constant, respectively, of a substrate-
bound enzyme molecule. The probability of a fully
processive modification of N sites is then
P
processive
¼
k
cat
k
cat
þ k
off
N
ð1Þ
(assuming, for simplicity, that all the sites have the
same k
cat
and are modified sequentially).
Indeed, k
cat
values as fast as 10Æs
)1
have been
reported for protein kinases, while dissociation rate
constants may be much lower (0.01Æs
)1
and below).
However, phosphorylation rates in the minute range
have been reported for a processive substrate, indicat-
ing that k
cat
can also be much lower [78], as required
for distributive phosphorylation mechanisms. For
example, the splicing factor ASF ⁄ SF2 is fully phos-
phorylated during a single encounter with its kinase
SRPK1 due to the high-affinity interaction between
the proteins (equilibrium dissociation constant K
d
approximately 50 nm) [27]. By contrast, the dissocia-
tion rate of the MEK:pERK2 complex is at least five
times as fast as the phosphorylation rate of the second
site in ERK2 [77]. Enzyme processivity may be
enhanced by the presence of protein–protein interac-
tion domains such as SH2 and SH3 that recognize
newly phosphorylated products, allowing repositioning
of the enzyme and substrate [73,74]. Tethering a sub-
strate to its modifying enzymes through a scaffold pro-
tein can also increase the degree of processivity [79].
Two biochemical methods have mainly been
employed to determine the processivity of substrate
phosphorylation. In the ‘start-trap’ strategy, ATP is
added to the enzyme–substrate complex, together with
an inhibitor that can trap the free enzyme [27]. In a
distributive mechanism, the inhibitor traps the free
enzyme, stopping the reaction before full phosphoryla-
tion is achieved. By contrast, in a processive mecha-
nism, the inhibitor does not influence the rate or
extent of phosphorylation. A second strategy consists
of measuring the phosphorylation rate at various con-
centrations of substrate (or enzyme) [73]. For a distrib-
utive mechanism, the partially phosphorylated forms
can act as competitive inhibitors of phosphorylation,
so that increases in substrate concentration result in a
decreased formation rate of the fully phosphorylated
substrate. Recently, time-resolved high-resolution
NMR spectroscopy has been used to identify the pres-
ence of free partially phosphorylated forms of the
substrate and the existence of a defined order of phos-
phorylation [58].
Processive enzymes can catalyse sequential phos-
phorylation, while distributive enzymes may process
the phosphorylation sites in a random manner. For
example, the intermolecular autophosphorylation of
several Tyr residues in the fibroblast growth factor
receptor 1 kinase apparently proceeds in a sequential
and processive manner [80]. Dual phosphorylation of
extracellular regulated kinase (ERK) by MEK in the
MAP kinase cascade was reported to occur via a ran-
dom and distributive mechanism [41,70]. However, a
processive kinase can also catalyse random phosphory-
lations, as recently proposed for phosphorylation of
the focal adhesion protein p130Cas by Scr kinase [81].
Conversely, sequential DUSP6 dephosphorylation of
ERK2 at Thr and Tyr was shown to occur distribu-
tively [71]. Thus there appears to be no strict link
between the degree of processivity of a kinase and
random or sequential phosphorylation of its multiple
target sites. The phosphorylation order and enzyme
processivity of some relevant proteins are listed in
Table 2.
Competition mechanisms
The interactions between the target protein and its
modifying enzymes can lead to two distinct types of
competition effects (Fig. 2C). The binding affinities of
kinases and phosphatases may change with the phos-
phorylation state of the target protein. For example,
the fully phosphorylated target may lose (or retain) its
affinity for the kinase. Such affinity changes may lead
to interesting effects when the concentration of the
kinase is much smaller than that of the target protein
[28–30,82,83]. In this case, target proteins of various
phosphorylation states compete for the kinase (or,
equally, for the phosphatase). When the kinase
remains associated with the higher or fully phosphory-
lated forms of its target protein, product inhibition will
result, because the bound kinase is not available to act
on unphosphorylated target molecules.
Conversely, when the concentrations of the modify-
ing enzymes [kinase(s) and phosphatase(s)] are large
compared to their target protein, as may be the case in
signal transduction, the enzymes can compete for bind-
ing to the target. Phosphorylation is then inhibited by
the phosphatase and dephosphorylation by the kinase.
In particular, when the kinase has a high affinity for
the phosphorylated target, the latter is sequestered and
is not available for dephosphorylation. The structural
basis for such competition may involve overlapping
binding sites for kinases and phosphatases on the tar-
get, such that they are unable to bind to the target at
the same time [84].
Multisite proteinphosphorylation C. Salazar and T. Ho
¨
fer
3184 FEBS Journal 276 (2009) 3177–3198 ª 2009 The Authors Journal compilation ª 2009 FEBS
The phosphorylation of a particular residue can also
compete with other covalent modifications. For exam-
ple, in addition to phosphorylation, Ser and Thr resi-
dues are also targets for glycoxylation, while the
hydroxyl group of Tyr residues can be phosphorylated
or sulfated [4]. Intermolecular competition can occur
between substrates of similar affinity for the same
enzyme; a substrate with a lower affinity will be
phosphorylated once the preferred targets have been
saturated with the enzyme [30].
Conformational changes and cooperativity
For some proteins, phosphorylation controls their
function by creating or eliminating docking sites for
the recruitment of specific binding partners. In other
cases, phosphorylation alters the local environment of
a catalytic center or a binding site. For proteins with a
large number of regulatory phosphorylation sites,
phosphorylation sites distant from such functional
motifs may regulate protein activity by inducing
changes in its global conformation [23,85] (Fig. 2D).
For example, extensive charge modifications caused by
multiple phosphorylations on NFAT have been pre-
dicted to alter its tertiary structure [85].
As a plausible model for the control of protein con-
formation by multisite phosphorylation, it has been
proposed that individual phosphorylation events shift
the equilibrium between two or more pre-existing con-
formations of the protein [23,38,86]. For instance, the
nucleo-cytoplasmic transport of NFAT can be
accounted for by a conformational switch model, with
an active conformation that is transported from the
cytoplasm to the nucleus and an inactive conformation
that is exported back to the cytoplasm. The probability
of attaining the active conformation increases with
each dephosphorylation step [23,38]. Somewhat more
complicated models with four conformation states
have also been proposed [39].
The conformation of the target protein can also
affect the binding of kinases or phosphatases, and the
kinetics of the (de)phosphorylations. This can induce
cooperativity among the phosphorylation states. For
example, in the case of NFAT, dephosphorylation of
the SRR1 region enhances dephosphorylation of the
SP2 and SP3 motifs by calcineurin [23].
Compartmentalization
Phosphorylation sites can be modified by two or more
kinases (or phosphatases) that are localized in distinct
subcellular compartments (Fig. 2E). An example is the
interplay between the cytoplasmic kinase SRPK1 and
the nuclear kinase Clk ⁄ Sty in phosphorylation of the
splicing factor ASF ⁄ SF2 [27,87,88]. A docking motif in
ASF ⁄ SF2 restricts its phosphorylation by SRPK1 to the
N-terminal half (approximately 10 sites) of the RS
domain, mediating nuclear import of ASF ⁄ SF2 and
localization in nuclear speckles [87]. Clk ⁄ Sty, however,
can phosphorylate the entire RS domain (approximately
20 sites), causing release of ASF ⁄ SF2 from speckles.
The subcellular localization of kinases and phospha-
tases is an important issue in signalling from the
plasma membrane to the nucleus. For example, in rest-
ing cells, the NFAT phosphatase calcineurin resides
predominantly in the cytoplasm, but upon cell stimula-
tion may be imported into the nucleus together with
NFAT to maintain NFAT dephosphorylation and
nuclear localization [89,90]. The NFAT kinases GSK3
and CK1, which phosphorylate the SP2 and SRR1
motifs, respectively, are present in both subcellular
compartments. However, DYRK2 and DYRK1A,
which phosphorylate the SP3 motif, are cytoplasmic
and nuclear, respectively [50]. DYRK2 probably helps
to maintain the phosphorylated state of cytoplasmic
NFAT in resting cells, whereas DYRK1A re-phospho-
rylates nuclear NFAT and promotes its export from
the nucleus. Such compartmentalization of kinases or
phosphatases confers different functions, and, in turn,
may expand the repertoire for regulating signal trans-
duction networks.
Kinetic modelling of multisite
phosphorylation
General framework
Kinetic models of multisiteprotein phosphorylation
are quite distinct from those of traditional enzyme
kinetics [91,92] for several reasons. First, the number
of molecular states to be accounted for is usually
larger (including partially phosphorylated states, both
enzyme-bound and free, and, where appropriate, vari-
ous conformations of the protein due to its phosphory-
lation state). Second, and more importantly, the
simultaneous presence of kinases and phosphatases
needs to be considered in a physiological context, so
that there are at least two counteracting enzymes in
the system (although consideration of a single enzyme
acting on the target may be relevant for in vitro experi-
ments). Indeed, we show below that, in general, no
explicit enzymatic rate laws can be derived for phos-
phorylation and dephosphorylation reactions. Third,
there are usually no strict concentration hierarchies in
phosphorylation modules [i.e. target protein, kinase(s)
and phosphatase(s)], so that enzymes and their
C. Salazar and T. Ho
¨
fer Multisiteprotein phosphorylation
FEBS Journal 276 (2009) 3177–3198 ª 2009 The Authors Journal compilation ª 2009 FEBS 3185
subtrates may have similar concentrations. The low
enzyme concentration is the chief condition for deriva-
tion of Michaelis–Menten-type enzymatic rate laws,
although this can be relaxed in certain cases [93–95].
However, as a rule of thumb, explicit enzymatic rate
laws (Michaelis–Menten or other) can generally not be
derived when the concentrations of the various
enzyme–substrate complexes are appreciable compared
to the free concentrations of substrate and product.
This situation is probably common in protein phos-
phorylation networks.
For these reason, Michaelis–Menten kinetics are not
an appropriate starting point for studying the kinetic
behaviour of (multisite) phosphorylation modules
[29,82,95], although some authors have used them [32].
Instead, a mathematical description based on elemen-
tary steps of enzyme–substrate binding and catalysis is
appropriate [29,33,82]. As an example of how this for-
malism works, Fig. 3 (upper box) shows the strictly
sequential mechanism of phosphorylation [29]. For
each phosphorylation state, the substrate can occur in
a free form (X
n,0
) or in a complex with the kinase
(X
n,K
) or phosphatase (X
n,P
), where n =0,… N is the
number of phosphorylated residues (simultaneous
binding of kinases and phosphatases to the target pro-
tein has not been considered here but may also occur).
The dynamic behaviour of all possible complexes and
phosphorylation states can be described by a set of
kinetic equations. For example, the balance for the
unphosphorylated substrate in a binary complex with
the kinase is
dX
0;K
dt
¼ d
k
K
L
0
X
0;0
À X
0;K
reversible binding of kinase
À a
1
X
0;K
phosphorylation
ð2Þ
where d
k
and L
0
denote the dissociation rate constant
and equilibrium dissociation constant for the binding
of the kinase, a
1
is the phosphorylation rate constant
of the first phosphorylation site, and K is the concen-
tration of free kinase. A model of this type can easily
be solved numerically, but contains a rather large
number of parameters that need to be specified
(6N + 4 when the kinase and phosphatase are
assumed to have different binding, dissociation and
catalytic rate constants for each phosphorylation
state).
The model can be simplified by exploiting time-scale
hierarchies. Perhaps the simplest assumption is that
enzyme–target binding interactions occur more rapidly
than the addition and cleavage of phosphoryl groups,
and thus a rapid-equilibrium approximation for kinase
and phosphatase binding can be applied [29,82]. This
approximation models a distributive mechanism of
(de)phosphorylation whereby the enzymes have to bind
and dissociate many times before the target protein is
fully (de)phosphorylated. The system dynamics can be
formulated in terms of the total concentration
Y
n
= X
n,0
+ X
n,K
+ X
n,P
attained by the various
phosphorylated forms. Moreover, the number of
parameters is reduced considerably as only the equilib-
rium dissociation constants (and no longer the binding
and dissociation rate constants) are needed (Fig. 3,
lower box). The total concentrations of the phospho-
forms Y
n
are governed by the algebro-differential
equation system
dY
n
dt
¼ a
n
Y
nÀ1
phosphorylation
of Y
nÀ1
Àða
nþ1
þ b
n
ÞY
n
phosphorylation and
dephosphorylation of Y
n
þ b
nþ1
Y
nþ1
dephosphorylation
of Y
nþ1
;
for 0 n N ð3Þ
with effective rates of phosphorylation and dephos-
phorylation of
a
n
¼ a
n
K=L
nÀ1
1 þ K=L
nÀ1
þ P=Q
nÀ1
and
b
n
¼ b
n
P=Q
n
1 þ K=L
n
þ P=Q
n
; ð4Þ
respectively, and the conservation conditions
Fig. 3. Reaction scheme for a multisiteprotein phosphorylation
module. A model based on elementary steps for the sequential
mechanism of phosphorylation is shown in the upper box. In each
phosphorylation state, the substrate can occur in a free form (X
n,0
)
or in a complex with the kinase (X
n,K
) or phosphatase (X
n,P
).
Because protein–protein interactions generally occur more rapidly
than catalytic steps, the model can be simplified and the number of
parameters considerably reduced (lower box). See text for more
details.
Multisite proteinphosphorylation C. Salazar and T. Ho
¨
fer
3186 FEBS Journal 276 (2009) 3177–3198 ª 2009 The Authors Journal compilation ª 2009 FEBS
[...]... to a single-site target, multisitephosphorylation expands the possibilities for proteinprotein interactions and the phosphorylation sequence, thus FEBS Journal 276 (2009) 317 7–3 198 ª 2009 The Authors Journal compilation ª 2009 FEBS 3187 Multisiteproteinphosphorylation C Salazar and T Hofer ¨ Fig 4 Mechanistic effects of multisitephosphorylation on the dose–response curves and phosphorylation kinetics... Sudarsanam S (2002) The protein kinase complement of the human genome Science 298, 191 2–1 934 4 Yang XJ (2005) Multisiteprotein modification and intramolecular signaling Oncogene 24, 165 3–1 662 5 Cohen P (2000) The regulation of protein function by multisitephosphorylation– a 25 year update Trends Biochem Sci 25, 59 6–6 01 3194 6 Holmberg CI, Tran SEF, Eriksson JE & Sistonen L (2002) Multisite phosphorylation. .. substrate degradation Cell 124, 8 9–1 03 54 Morton S, Davis RJ, McLaren A & Cohen P (2003) A reinvestigation of the multisitephosphorylation of the transcription factor c-Jun EMBO J 22, 387 6–3 886 55 Gembitsky DS, Lawlor K, Jacovina A, Yaneva M & Tempst P (2004) A prototype antibody microarray platform to monitor changes in protein tyrosine phosphorylation Mol Cell Proteomics 3, 110 2–1 118 56 Sachs K, Perez O,... unstructured proteins and their functions Nat Rev Mol Cell Biol 6, 19 7–2 08 113 Verkhivker GM (2005) Protein conformational transitions coupled to binding in molecular recognition of unstructured proteins: deciphering the effect of intermolecular interactions on computational structure prediction of the p27Kip1 protein bound to the cyclin A–cyclin-dependent kinase 2 complex Proteins 58, 70 6–7 16 114 Gunasekaran... forms of the target proteinKinetic and functional implications of various phosphorylationmechanismsMultisitephosphorylation has been associated with signal integration, threshold responses, signalling specificity, precise timing, and other properties Based on the results of mathematical models, we discuss how these functional implications are related to the mechanisms of multisitephosphorylation presented... events by multisitephosphorylation (A) Redundance Phosphorylation at any site is sufficient for protein activation (B) Summation Phosphorylation of each site has an additive effect on the protein activity (C) Synergy Phosphorylation of both sites is required for protein activation (D) Antagonism One phosphorylation may enhance and another inhibit the protein activity stability of the substrate–kinase... of Enzyme Kinetics, 3rd edn Portland Press, London Tzafriri AR (2003) Michaelis–Menten kinetics at high enzyme concentrations Bull Math Biol 65, 111 1–1 129 Multisiteproteinphosphorylation 94 Schnell S & Maini PK (2000) Enzyme kinetics at high enzyme concentration Bull Math Biol 62, 48 3–4 99 95 Ciliberto A, Capuani F & Tyson JJ (2007) Modeling networks of coupled enzymatic reactions using the total quasi-steady... by the MAP kinase cascade, the phosphoinositol-3-kinase ⁄ Akt pathway and the cAMP pathway Any phosphorylation is enough to trigger dissociation of BAD from the anti-apoptotic protein Bcl-XL, inhibiting the pro-apoptotic activity of BAD [123] In other cases, the effect of multisitephosphorylation on the protein activity is additive (Fig 8B) For instance, phosphorylation of two distinct sites in cyclic... kinase scaffold protein Ste5 Multisiteproteinphosphorylationto the bc G -protein subunit at the plasma membrane, where it was assumed that each phosphorylation decreased the binding energy by 1.4 kcal mol)1 (Kd is increased by a factor of 10) [116] Generally, the degree of ultrasensitivity depends both on the number of phosphorylation sites and the change in binding affinity with each phosphorylation. .. (2000) Cell signaling by receptor tyrosine kinases Cell 103, 21 1–2 25 10 Acuto O, Bartolo VD & Michel F (2008) Tailoring T-cell receptor signals by proximal negative feedback mechanisms Nat Rev Immunol 8, 69 9–7 12 11 Mohapatra DP, Park KS & Trimmer JS (2002) Dynamic regulation of the voltage-gated Kv2.1 potassium channel by multisitephosphorylation Biochem Soc Trans 35, 106 4–1 068 12 Markevich NI, Hoek . REVIEW ARTICLE
Multisite protein phosphorylation – from molecular
mechanisms to kinetic models
Carlos Salazar and Thomas Ho
¨
fer
Research. (DUSP6)
TpXYp – –
PP1 – RVXF
FXXRXR
–
PP2A, PP2C RRA(Sp
⁄
Tp)VA – –
Calcineurin (PP2B) – PXIXIT –
Tyr phosphatases
PTP1B E(Y ⁄ F ⁄ D)Yp
RDXYXTDYYpR
–
SHP2 YpASI
YpIDL
–