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Originally published In Press as doi:10.1074/jbc.R100005200 on February 15, 2001
J. Biol. Chem., Vol. 276, Issue 14, 10577-10580, April 6, 2001
MINIREVIEW
The Influence of Macromolecular Crowding and
Macromolecular Confinement on Biochemical Reactions in Physiological
Media*
Allen P.
Minton
From the Section on Physical Biochemistry, Laboratory of
Biochemistry and Genetics, NIDDK, National Institutes of Health,
Bethesda, Maryland 20892
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INTRODUCTION |
Detailed knowledge of the rates, equilibria, and
mechanism of biochemical reactions has traditionally been acquired
through experiments conducted on solutions containing low
concentrations (less than about 1 mg/ml) of total protein, nucleic
acid, and/or polysaccharide together with buffer salts, low molecular
weight substrates, and cofactors as required. In contrast, biochemical reactions in living systems take place in media containing
substantially greater total concentrations (50-400 mg/ml) of
macromolecules that may be present in solution and/or in indefinitely
large arrays (e.g. cytoskeletal fibers) (1, 2). Because no single
macromolecular species may be present at high concentration, but all
species taken together occupy a significant fraction of the volume of the medium, such media are referred to as "crowded" (3) and/or "confining" (4) rather than "concentrated," depending upon whether the macrosolutes are soluble and/or structured. Fig.
1 provides a schematic illustration of
crowding and confinement in eukaryotic cytoplasm. In such media,
nonspecific interactions between macrosolutes contribute significantly
to the total free energy of the medium. High concentrations of
"background" macromolecules that do not participate directly in a
particular test reaction have been observed to induce
order-of-magnitude or greater changes in the rates and equilibria of
numerous test reactions (see below). To properly assess the
physiological role of a particular reaction or set of reactions
characterized in vitro, it is important to consider the
possible influence of crowding and/or confinement upon the reaction in
its physiological milieu.

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Fig. 1.
Cartoon of eukaryotic cytoplasm at a
magnification of 1,000,000 ×. The test protein molecule
(red) is in a fluid medium that is crowded by soluble
proteins (green), RNA species (yellow), and
ribosomes (pink) and confined by cytoskeletal fibers
(blue). Modified from Ref. 47 and reproduced with permission
of the copyright holder.
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Nonspecific Interaction |
A nonspecific interaction between a pair of macromolecules does
not depend strongly upon details of the primary, secondary, or tertiary
structure(s) of the interacting macromolecules but rather upon global
properties such as net charge, dipole or multipole moment, the polarity
of surface residues, and macromolecular "shape." Nonspecific
interactions may be either repulsive (steric, electrostatic) or
attractive (electrostatic, hydrophobic) and are generally substantially weaker on a pairwise basis than specific interactions between reaction partners.
The concept of "nonspecific interaction" is widely misunderstood.
Many if not most biomedical researchers still regard such interaction
as an artifact of a particular experimental system that interferes with
the acquisition of meaningful data. Strategies such as extrapolation of
results to zero macromolecular concentration are devised for the
reduction or elimination of the influence of nonspecific interaction on
a test reaction. Although such procedures may be appropriate in certain
specific experimental situations, they do not necessarily provide
results that are more meaningful in a biological context. On the
contrary, significant nonspecific interaction is an unavoidable
consequence of crowding and confinement in most or all physiological
fluid media. To understand molecular processes in such media one must
therefore take account of nonspecific interactions rather than attempt
to eliminate them.
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Effect of Nonspecific Solute-Solute Interaction upon Chemical
Equilibria |
The contribution of a particular solute species X to the total
free energy of the system is a function of an effective concentration, called the thermodynamic activity of X, denoted by
ax. Thermodynamics teaches that equilibrium
constants are generally expressed in terms of equilibrium activities
rather than actual concentrations. As a simple example, consider a
protein molecule that may reversibly self-associate to form a dimer.
The equilibrium association constant for this reaction is
K = (a2/a ),
where subscripts 1 and 2 refer to monomer and dimer, respectively.
Biochemists are accustomed to seeing equilibrium constants written as
ratios of equilibrium concentrations. However, the so-called
equilibrium constant written in terms of concentrations,
K12, is actually an apparent constant
related to the true equilibrium constant, K , by
K12 (c2/c ) = K ( / 2), where i denotes the ratio of effective to actual
concentrations of species i, termed the activity
coefficient. The activity coefficient has a precise definition in
terms of nonspecific solute-solute interaction, ln i = <gi>/kT, where
<gi> denotes the
(composition-dependent) equilibrium average free energy of
nonspecific interaction between a molecule of species i and all of the other macrosolutes present in the medium, k is
the Boltzmann constant, and T is the absolute temperature.
 |
Excluded and Available Volume |
Steric repulsion is the most fundamental of all interactions
between macromolecules in solution and is always present at finite concentration, independent of the magnitude of additional electrostatic or hydrophobic interactions. Because solute molecules are mutually impenetrable, the presence of a significant volume fraction of macromolecules in the medium places constraints on the placement of an
additional molecule of test macrosolute that depend upon the relative
sizes, shapes, and concentrations of all macrosolutes in the medium.
Fig. 2 depicts a region, demarcated by a
square outline, in a solution containing spherical "background"
macrosolutes of radius rb, colored black,
that occupy ~30% of the total volume (vtot)
of the specified region. The available volume (va,T)
is defined to be that part of the volume of the region which may be
occupied by the center of mass of a molecule of a spherical
test species T of radius rt added to the solution. If the test species is very small relative to the background species (Fig. 2A), then the available volume, indicated in
blue, is approximately equal to that part of the total
volume not occupied by the background species, i.e. ~0.7
vtot. However, if the size of the test species
is comparable with (or larger than) the background species (Fig.
2B), the available volume is substantially smaller, as the
center of a molecule of the test species can approach the center of any
background molecule to no less than the distance, denoted by
rC, at which the surfaces of the two molecules contact each other.1 One may
visualize this restriction by drawing a circular shell with radius
rC about each background molecule. Then the volume
available to the test species, indicated by the blue-colored regions in Fig. 2B, is that part of the total
volume which is not occupied by any background molecule or by any
shell. It is evident upon inspection of Fig. 2, A and
B, that the available volume is a sensitive function of the
relative sizes (and shapes) of test and background molecules and the
number density of background molecules.2

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Fig. 2.
Excluded (pink and
black) and available (blue) volume in
a solution of spherical background macromolecules. A,
volume available to a test molecule of infinitesimal size;
B, volume available to a test molecule of size comparable
with background molecules.
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Volume may be excluded to a test particle by the surfaces of immobile
structures as well as by individual background macrosolutes (4, 5), as
illustrated in Fig. 3, which depicts a
pore with square
cross-section.3 The center of
a spherical test molecule whose diameter is comparable with the largest
dimension of the pore (Fig. 3B) is excluded from the
pink-colored region, which in this
instance represents a significant fraction of the total volume of the
solution enclosed in the pore.

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Fig. 3.
Excluded (pink) and
available (blue) volume in a pore of square
cross-section. A, volume available to a test molecule
of infinitesimal size; B, volume available to a test
molecule of size comparable with pore dimensions.
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Available Volume, Free Energy, and Chemical Reactivity |
In a solution of macromolecules interacting exclusively via steric
repulsion there exists an extremely simple relationship between the
effective and actual concentration of each solute species (6),
i (ai/ci) = ( tot/ a,i), where tot and
a,i denote the total volume and volume available to species
i, respectively. The thermodynamic activities of
macromolecules in fluid media may be measured by several
physical-chemical methods. In Fig. 4, the
experimentally measured ratio of the effective to actual concentration
of hemoglobin, under experimental conditions comparable with those
encountered in a red blood cell, is plotted as a function of the actual
concentration. The first remarkable feature of this dependence is its
highly non-linear nature; the effective concentration of hemoglobin
exceeds the actual concentration by a factor of >10 at 200 g/liter and
a factor approaching 100 at 300 g/liter. (For reference, the
concentration of hemoglobin within a normal red blood cell typically
exceeds 300 g/liter.) The second remarkable feature is that the
experimentally measured dependence may be accounted for quantitatively
over the entire concentration range by a simple geometrical model for
available volume, in which each hemoglobin molecule is represented by a rigid spherical particle of radius ~29.5 Å, i.e. a
particle closely resembling a "shrink-wrapped" hemoglobin molecule
(7, 8).

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Fig. 4.
The effect of hemoglobin concentration on its
effective concentration (thermodynamic activity), calculated from
concentration dependence of the osmotic pressure (7).
Inset is a magnification of the low concentration
regime.
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The ratio of effective to actual concentration (i.e.
activity coefficient) of a protein within a polymer gel may be
calculated from the extent to which the protein partitions between the
gel and bulk solution (4, 5). In Fig. 5,
this ratio, measured experimentally in a dextran gel occupying about
3% of total solution volume, is plotted for a variety of globular
proteins as a function of molar mass. We note that the dependence of
activity coefficient upon molar mass is reasonably independent of the
identity of the protein, indicating that it is a property primarily of
protein size and is insensitive to small changes in shape or
composition. The solid curve was calculated using
a simple geometrical model for available volume (9), in which each
protein is modeled as a hard spherical particle with a radius
proportional to the cube root of mass, and polymer is modeled as a
random matrix of hard cylindrical rods.

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Fig. 5.
The dependence of effective concentration on
the molar mass of quasispherical test proteins in a dextran G-200 gel
particle of fractional volume occupancy of ~0.03.
Symbols are calculated from experimentally measured
partition coefficients presented in Ref. 48. Solid
curve indicates best fit of the excluded volume model of
Ogston (9).
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Estimated Magnitude of Crowding Effects on Association
Equilibria |
We present a simple example of how the difference between activity
and concentration in a crowded medium may qualitatively influence
association
equilibria.4
Consider the dimerization reaction introduced above, with real and
apparent equilibrium constants defined in the first two equations. For
the sake of illustration, we set the molar mass of A equal to 100,000 and assume that both A and
A2 have roughly spherical shape.5 Using the same
geometrical model for excluded volume and the same size and shape
parameters used to fit the data in Fig. 5 (9), the values of
1 and 2 may be estimated to be about
3 × 102 and 1 × 104, respectively,
for a fractional volume occupancy of 0.2, and about 1 × 104 and 1 × 106, respectively, for
= 0.3. It follows from the second equation that the
experimentally observed equilibrium constant,
K12, would be expected to exceed
K (the value of
K12 in the limit of high dilution) by a factor
of ~10 in a medium of = 0.2 and ~100 in a medium of
= 0.3. Although this estimate is only qualitative, the large
magnitude of the predicted effect of excluded volume transcends the
crudeness of the theoretical model. Indeed, similar but somewhat more
refined predictions have been confirmed, in some cases quantitatively, by experimental observation (see references in Ref. 11 and in Table
I).
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Table I
Some recent reports of experimentally observed crowding and confinement
effects on macromolecular reactions
Earlier observations are tabulated in Zimmerman and Minton (11).
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Effect of Excluded Volume on Macromolecular Association Reaction
Rates |
There are two opposing effects of excluded volume on reaction
rates (12). If the overall rate of the reaction is limited by the rate
with which a transition state complex decays to products, then crowding
would be expected to enhance the relative abundance of the transition
state complex and hence the forward reaction rate. Under these
conditions, the forward rate constant may be increased by up to the
equilibrium enhancement factor, depending upon details of the
particular reaction. However, if the overall rate of the reaction is
limited by the rate with which reactant molecules encounter each other
through diffusional motion, then crowding, which retards diffusional
motion (13, 14), would be expected to lower the forward reaction rate.
In the limit of high fractional volume occupancy, all association
reactions are expected to be diffusion limited and hence slowed by
crowding (11). Hence, depending upon the nature of a particular
reaction, one of two types of behavior may be observed as the
fractional volume occupancy of background molecules increases: the
forward rate for a macromolecular association may decrease
monotonically or may initially increase, pass through a maximum, and
then decrease. A bimodal dependence of reaction rate on crowder
concentration has been observed experimentally (15).
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Macromolecular Reactions Affected by Excluded Volume |
Macromolecular crowding and/or confinement by background molecules
or structures can in principle affect the equilibrium and kinetics of
any macromolecular reaction in which there exists a significant
difference between the volume excluded to reactants and the volume
excluded to products. Such reactions include self- or
heteroassociation, condensation (crystallization, nucleation-controlled fiber formation), binding of macromolecules to specific surface sites,
nonspecific surface adsorption, and protein isomerization, including
folding/unfolding (4, 10, 11, 16-18). Crowding may also affect
enzyme-catalyzed reactions of small molecules if the mechanism of
catalysis involves significant conformational change of the enzyme (3,
10). Many such effects have indeed been observed experimentally. Most
of the older observations are cited in Ref. 11, and some more recent
observations are listed in Table I.
 |
Broader Physiological Ramifications |
In recent years increased attention has been paid to the
functioning of ever larger macromolecular assemblies and systems of
interacting components, sometimes referred to as molecular machines
(19). As larger and more complex systems have come under closer
scrutiny, a growing number of biomedical researchers have emphasized
the extremely broad ramifications of macromolecular crowding and
confinement for biochemistry in the intact cell (see for example Refs.
20-25). It is becoming more widely appreciated that under
physiological conditions of crowding or confinement, the size- and
shape-dependent reduction of volume available to every
species of macromolecule results in major shifts in the rates and
equilibria of a broad range of macromolecular reactions relative to
those measured in dilute solution. We now recognize that nonspecific
interactions, including (but not limited to) steric repulsion, provide
a substantial contribution to the free energy balance of a
physiological system such as an intact cell or tissue.
It seems likely that the constituent elements of these systems have
evolved to function optimally under normal physiological (i.e. crowded and/or confined) conditions and that the
proper functioning of the system depends upon maintenance of the free energy balance established under those crowded and/or confined conditions. Excluded volume theory predicts that at the high level of macromolecular fractional volume occupancy characteristic of all
living cells (i.e. >0.20-0.30), the reactivity of almost
every soluble macromolecular species, dilute as well as concentrated, will depend sensitively upon its available volume, which, in turn, depends sensitively upon the total volume fraction of macromolecules. It follows that relatively small changes in the fractional volume occupancy of the cellular interior are expected to have major effects
on the equilibria and kinetics of a broad variety of intracellular reactions (26, 27). These considerations help us to understand two very
general properties of living cells. 1) Relatively modest changes of
cellular volume in animal cells (i.e. concentration of
intracellular macromolecules) are associated with changes in the rates
of a broad spectrum of diverse intracellular processes that are much
too large to be accounted for on the basis of simple mass action (28).
2) Every type of cell so far examined, from bacterial to human, is
equipped with one or more mechanisms (varying widely among different
types of cells) for the maintenance or restoration of cellular volume,
water content, and/or turgor pressure in response to changes in
composition of the extracellular fluid (29).
The examples presented here are only a few of many supporting the
hypothesis that macromolecular crowding and confinement play important
and perhaps essential roles in cell biology and physiology (11, 24,
30-34). Effects of excluded volume in physiological media are of
sufficient magnitude to mandate careful consideration when postulating
a role in vivo for any macromolecular reaction characterized
in vitro.
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ACKNOWLEDGEMENTS |
I thank the following colleagues for
reviewing early drafts of this communication: Damien Hall, Nancy
Nossal, Herbert Tabor, Reed Wickner, and especially Steve Zimmerman for
incisive comments.
 |
FOOTNOTES |
*
This minireview will be reprinted
in the 2001 Minireview Compendium, which
will be available in December, 2001.
To whom correspondence should be addressed: Bldg. 8, Rm. 226, NIH,
Bethesda, MD 20892-0830. Tel.: 301-496-3604; Fax: 301-402-0240; E-mail:
minton@helix.nih.gov.
Published, JBC Papers in Press, February 15, 2001, DOI 10.1074/jbc.R100005200
1
For markedly non-spherical molecules,
rC is a function of the mutual orientations of test
and background molecules. For approximately spherical molecules,
rC may be treated as a constant equal to the sum of
the average radii of test and background molecules.
2
Although Fig. 2, A and B,
reflects a static distribution of background molecules, these
conclusions hold also for a dynamic distribution, assuming equivalence
of spatial and time averages.
3
This pore is one possible idealized
representation of a small element of volume bounded by large
macromolecular assemblies, such as interstices within a lattice of
rodlike fibers or lamellar space between adjacent membrane surfaces.
4
A more complete treatment is presented in Ref.
10.
5
Although the dimer is unlikely to be spherical,
its deviation from sphericity will not be so large that treatment as an
approximate sphere will introduce a qualitative error into the present
estimate (10).
 |
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K. Richter, M. Nessling, and P. Lichter
Experimental evidence for the influence of molecular crowding on nuclear architecture
J. Cell Sci.,
May 1, 2007;
120(9):
1673 - 1680.
[Abstract]
[Full Text]
[PDF]
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N. Salamat-Miller, J. Fang, C. W. Seidel, Y. Assenov, M. Albrecht, and C. R. Middaugh
A Network-based Analysis of Polyanion-binding Proteins Utilizing Human Protein Arrays
J. Biol. Chem.,
April 6, 2007;
282(14):
10153 - 10163.
[Abstract]
[Full Text]
[PDF]
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C. Lei, M. M. Valenta, K. P. Saripalli, and E. J. Ackerman
Biosensing Paraoxon in Simulated Environmental Samples by Immobilized Organophosphorus Hydrolase in Functionalized Mesoporous Silica
J. Environ. Qual.,
January 9, 2007;
36(1):
233 - 238.
[Abstract]
[Full Text]
[PDF]
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W. Yang and S. M. Musser
Nuclear import time and transport efficiency depend on importin {beta} concentration
J. Cell Biol.,
September 25, 2006;
174(7):
951 - 961.
[Abstract]
[Full Text]
[PDF]
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A. P. Minton
How can biochemical reactions within cells differ from those in test tubes?
J. Cell Sci.,
July 15, 2006;
119(14):
2863 - 2869.
[Abstract]
[Full Text]
[PDF]
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O. Amosova, R. Coulter, and J. R. Fresco
Self-catalyzed site-specific depurination of guanine residues within gene sequences
PNAS,
March 21, 2006;
103(12):
4392 - 4397.
[Abstract]
[Full Text]
[PDF]
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J. Borejdo, J. Talent, and I. Akopova
Measuring Rotations of a Few Cross-Bridges in Skeletal Muscle
Experimental Biology and Medicine,
January 1, 2006;
231(1):
28 - 38.
[Abstract]
[Full Text]
[PDF]
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N. Kumar and S. Maiti
The effect of osmolytes and small molecule on Quadruplex-WC duplex equilibrium: a fluorescence resonance energy transfer study
Nucleic Acids Res.,
November 30, 2005;
33(21):
6723 - 6732.
[Abstract]
[Full Text]
[PDF]
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J. Li, J. J. Correia, L. Wang, J. O. Trent, and J. B. Chaires
Not so crystal clear: the structure of the human telomere G-quadruplex in solution differs from that present in a crystal
Nucleic Acids Res.,
August 16, 2005;
33(14):
4649 - 4659.
[Abstract]
[Full Text]
[PDF]
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K. Sato, P. B. Crowley, and C. Dennison
Transient Homodimer Interactions Studied Using the Electron Self-exchange Reaction
J. Biol. Chem.,
May 13, 2005;
280(19):
19281 - 19288.
[Abstract]
[Full Text]
[PDF]
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T. Konno, T. Morii, H. Shimizu, S. Oiki, and K. Ikura
Paradoxical Inhibition of Protein Aggregation and Precipitation by Transglutaminase-catalyzed Intermolecular Cross-linking
J. Biol. Chem.,
April 29, 2005;
280(17):
17520 - 17525.
[Abstract]
[Full Text]
[PDF]
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M. S. Long, C. D. Jones, M. R. Helfrich, L. K. Mangeney-Slavin, and C. D. Keating
From The Cover: Dynamic microcompartmentation in synthetic cells
PNAS,
April 26, 2005;
102(17):
5920 - 5925.
[Abstract]
[Full Text]
[PDF]
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G. L. Hazelbauer
Myriad Molecules in Motion: Simulated Diffusion as a New Tool To Study Molecular Movement and Interaction in a Living Cell
J. Bacteriol.,
January 1, 2005;
187(1):
23 - 25.
[Full Text]
[PDF]
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K. Lipkow, S. S. Andrews, and D. Bray
Simulated Diffusion of Phosphorylated CheY through the Cytoplasm of Escherichia coli
J. Bacteriol.,
January 1, 2005;
187(1):
45 - 53.
[Abstract]
[Full Text]
[PDF]
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B.-R. Zhou, Y. Liang, F. Du, Z. Zhou, and J. Chen
Mixed Macromolecular Crowding Accelerates the Oxidative Refolding of Reduced, Denatured Lysozyme: IMPLICATIONS FOR PROTEIN FOLDING IN INTRACELLULAR ENVIRONMENTS
J. Biol. Chem.,
December 31, 2004;
279(53):
55109 - 55116.
[Abstract]
[Full Text]
[PDF]
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K. Lipkow, N. Buisine, and R. Chalmers
Promiscuous Target Interactions in the mariner Transposon Himar1
J. Biol. Chem.,
November 19, 2004;
279(47):
48569 - 48575.
[Abstract]
[Full Text]
[PDF]
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A. Schiefner, J. Breed, L. Bosser, S. Kneip, J. Gade, G. Holtmann, K. Diederichs, W. Welte, and E. Bremer
Cation-{pi} Interactions as Determinants for Binding of the Compatible Solutes Glycine Betaine and Proline Betaine by the Periplasmic Ligand-binding Protein ProX from Escherichia coli
J. Biol. Chem.,
February 13, 2004;
279(7):
5588 - 5596.
[Abstract]
[Full Text]
[PDF]
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S. A. Kim, K. G. Heinze, M. N. Waxham, and P. Schwille
Intracellular calmodulin availability accessed with two-photon cross-correlation
PNAS,
January 6, 2004;
101(1):
105 - 110.
[Abstract]
[Full Text]
[PDF]
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A. Nourse, M. Trabi, N. L. Daly, and D. J. Craik
A Comparison of the Self-association Behavior of the Plant Cyclotides Kalata B1 and Kalata B2 via Analytical Ultracentrifugation
J. Biol. Chem.,
January 2, 2004;
279(1):
562 - 570.
[Abstract]
[Full Text]
[PDF]
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J. M. Gonzalez, M. Jimenez, M. Velez, J. Mingorance, J. M. Andreu, M. Vicente, and G. Rivas
Essential Cell Division Protein FtsZ Assembles into One Monomer-thick Ribbons under Conditions Resembling the Crowded Intracellular Environment
J. Biol. Chem.,
September 26, 2003;
278(39):
37664 - 37671.
[Abstract]
[Full Text]
[PDF]
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M. Kamali-Moghaddam and E. P. Geiduschek
Thermoirreversible and Thermoreversible Promoter Opening by Two Escherichia coli RNA Polymerase Holoenzymes
J. Biol. Chem.,
August 8, 2003;
278(32):
29701 - 29709.
[Abstract]
[Full Text]
[PDF]
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A. H. Elcock
Atomic-level observation of macromolecular crowding effects: Escape of a protein from the GroEL cage
PNAS,
March 4, 2003;
100(5):
2340 - 2344.
[Abstract]
[Full Text]
[PDF]
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B. R. Somalinga and R. P. Roy
Volume Exclusion Effect as a Driving Force for Reverse Proteolysis. IMPLICATIONS FOR POLYPEPTIDE ASSEMBLAGE IN A MACROMOLECULAR CROWDED MILIEU
J. Biol. Chem.,
November 1, 2002;
277(45):
43253 - 43261.
[Abstract]
[Full Text]
[PDF]
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M. M. Dedmon, C. N. Patel, G. B. Young, and G. J. Pielak
FlgM gains structure in living cells
PNAS,
October 1, 2002;
99(20):
12681 - 12684.
[Abstract]
[Full Text]
[PDF]
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R. Goobes, O. Cohen, and A. Minsky
Unique condensation patterns of triplex DNA: physical aspects and physiological implications
Nucleic Acids Res.,
May 15, 2002;
30(10):
2154 - 2161.
[Abstract]
[Full Text]
[PDF]
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B.-J. Sankoorikal, Y. L. Zhu, M. E. Hodsdon, E. Lolis, and P. S. Dannies
Aggregation of Human Wild-Type and H27A-Prolactin in Cells and in Solution: Roles of Zn2+, Cu2+, and pH
Endocrinology,
April 1, 2002;
143(4):
1302 - 1309.
[Abstract]
[Full Text]
[PDF]
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D. M. Hatters, A. P. Minton, and G. J. Howlett
Macromolecular Crowding Accelerates Amyloid Formation by Human Apolipoprotein C-II
J. Biol. Chem.,
March 1, 2002;
277(10):
7824 - 7830.
[Abstract]
[Full Text]
[PDF]
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R. S. Rajan, M. E. Illing, N. F. Bence, and R. R. Kopito
Specificity in intracellular protein aggregation and inclusion body formation
PNAS,
October 25, 2001;
(2001)
181479798.
[Abstract]
[Full Text]
[PDF]
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J. Li, S. Zhang, and C.-c. Wang
Effects of Macromolecular Crowding on the Refolding of Glucose- 6-phosphate Dehydrogenase and Protein Disulfide Isomerase
J. Biol. Chem.,
September 7, 2001;
276(37):
34396 - 34401.
[Abstract]
[Full Text]
[PDF]
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R. S. Rajan, M. E. Illing, N. F. Bence, and R. R. Kopito
Specificity in intracellular protein aggregation and inclusion body formation
PNAS,
November 6, 2001;
98(23):
13060 - 13065.
[Abstract]
[Full Text]
[PDF]
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Copyright © 2001 by the American Society for Biochemistry and Molecular Biology.
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