How to quantify protein diffusion in the bacterial membrane

Lateral diffusion of proteins in the plane of a biological membrane is important for many vital processes, including energy conversion, signaling, chemotaxis, cell division, protein insertion, and secretion. In bacteria, all these functions are located in a single membrane. Therefore, quantitative measurements of protein diffusion in bacterial membranes can provide insight into many important processes. Diffusion of membrane proteins in eukaryotes has been studied in detail using various experimental techniques, including fluorescence correlation spectroscopy (FCS), fluorescence recovery after photobleaching (FRAP), and particle tracking using single‐molecule fluorescence (SMF) microscopy. In case of bacteria, such experiments are intrinsically difficult due to the small size of the cells. Here, we review these experimental approaches to quantify diffusion in general and their strengths and weaknesses when applied to bacteria. In addition, we propose a method to extract multiple diffusion coefficients from trajectories obtained from SMF data, using cumulative probability distributions (CPDs). We demonstrate the power of this approach by quantifying the heterogeneous diffusion of the bacterial membrane protein TatA, which forms a pore for the translocation of folded proteins. Using computer simulations, we study the effect of cell dimensions and membrane curvature on measured CPDs. We find that at least two mobile populations with distinct diffusion coefficients (of 7 and 169 nm2 ms−1, respectively) are necessary to explain the experimental data. The approach described here should be widely applicable for the quantification of membrane‐protein diffusion in living bacteria. © 2011 Wiley Periodicals, Inc. Biopolymers 95: 312–321, 2011.

[1]  E. Peterman,et al.  Microtubule cross-linking triggers the directional motility of kinesin-5 , 2008, The Journal of cell biology.

[2]  R. Nolte,et al.  The enzyme mechanism of nitrite reductase studied at single-molecule level , 2008, Proceedings of the National Academy of Sciences.

[3]  John Crank,et al.  The Mathematics Of Diffusion , 1956 .

[4]  R. Cherry,et al.  Tracking of cell surface receptors by fluorescence digital imaging microscopy using a charge-coupled device camera. Low-density lipoprotein and influenza virus receptor mobility at 4 degrees C. , 1992, Journal of cell science.

[5]  George Georgiou,et al.  The bacterial twin-arginine translocation pathway. , 2006, Annual review of microbiology.

[6]  G. van den Bogaart,et al.  Probing receptor-translocator interactions in the oligopeptide ABC transporter by fluorescence correlation spectroscopy. , 2008, Biophysical journal.

[7]  D. Sherratt,et al.  Stoichiometry and Architecture of Active DNA Replication Machinery in Escherichia coli , 2010, Science.

[8]  A. Einstein Über die von der molekularkinetischen Theorie der Wärme geforderte Bewegung von in ruhenden Flüssigkeiten suspendierten Teilchen [AdP 17, 549 (1905)] , 2005, Annalen der Physik.

[9]  Colin Robinson,et al.  Diffusion of Green Fluorescent Protein in Three Cell Environments in Escherichia Coli , 2006, Journal of bacteriology.

[10]  K. Luby-Phelps,et al.  Physical properties of cytoplasm. , 1994, Current opinion in cell biology.

[11]  Akihiro Kusumi,et al.  Phospholipids undergo hop diffusion in compartmentalized cell membrane , 2002, The Journal of cell biology.

[12]  Nam Ki Lee,et al.  Single-molecule approach to molecular biology in living bacterial cells. , 2008, Annual review of biophysics.

[13]  J. Elf,et al.  Probing Transcription Factor Dynamics at the Single-Molecule Level in a Living Cell , 2007, Science.

[14]  M. Saxton Single-particle tracking: the distribution of diffusion coefficients. , 1997, Biophysical journal.

[15]  J. Enderlein,et al.  Performance of fluorescence correlation spectroscopy for measuring diffusion and concentration. , 2005, Chemphyschem : a European journal of chemical physics and physical chemistry.

[16]  A. Kusumi,et al.  Confined lateral diffusion of membrane receptors as studied by single particle tracking (nanovid microscopy). Effects of calcium-induced differentiation in cultured epithelial cells. , 1993, Biophysical journal.

[17]  R. Losick,et al.  Evidence that subcellular localization of a bacterial membrane protein is achieved by diffusion and capture , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[18]  Petra Schwille,et al.  A dynamic view of cellular processes by in vivo fluorescence auto- and cross-correlation spectroscopy. , 2003, Methods.

[19]  E M Judd,et al.  Visualization of the movement of single histidine kinase molecules in live Caulobacter cells. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[20]  Brian D. Slaughter,et al.  Mapping dynamic protein interactions in MAP kinase signaling using live-cell fluorescence fluctuation spectroscopy and imaging , 2007, Proceedings of the National Academy of Sciences.

[21]  W. Webb,et al.  Focal volume optics and experimental artifacts in confocal fluorescence correlation spectroscopy. , 2002, Biophysical journal.

[22]  W. Webb,et al.  Molecular counting of low-density lipoprotein particles as individuals and small clusters on cell surfaces. , 1986, Biophysical journal.

[23]  W. Webb,et al.  Direct measurement of Gag–Gag interaction during retrovirus assembly with FRET and fluorescence correlation spectroscopy , 2003, The Journal of cell biology.

[24]  X. Xie,et al.  Nonspecifically bound proteins spin while diffusing along DNA , 2009, Nature Structural &Molecular Biology.

[25]  K. Ritchie,et al.  Single molecule studies of molecular diffusion in cellular membranes: determining membrane structure. , 2007, Biopolymers.

[26]  R. B. Jensen,et al.  Dynamic localization of proteins and DNA during a bacterial cell cycle , 2002, Nature Reviews Molecular Cell Biology.

[27]  Hervé Rigneault,et al.  Diffusion analysis within single nanometric apertures reveals the ultrafine cell membrane organization. , 2007, Biophysical journal.

[28]  R. Berry,et al.  Variable stoichiometry of the TatA component of the twin-arginine protein transport system observed by in vivo single-molecule imaging , 2008, Proceedings of the National Academy of Sciences.

[29]  H Schindler,et al.  Single-molecule microscopy on model membranes reveals anomalous diffusion. , 1997, Biophysical journal.

[30]  M. Elowitz,et al.  Protein Mobility in the Cytoplasm ofEscherichia coli , 1999, Journal of bacteriology.

[31]  W. Webb,et al.  Mobility measurement by analysis of fluorescence photobleaching recovery kinetics. , 1976, Biophysical journal.

[32]  M. Foley,et al.  Lateral diffusion of proteins in the periplasm of Escherichia coli , 1986, Journal of bacteriology.

[33]  G. Meacci,et al.  Mobility of Min-proteins in Escherichia coli measured by fluorescence correlation spectroscopy , 2006, Physical biology.

[34]  A. Visser,et al.  In Vivo Hexamerization and Characterization of the Arabidopsis AAA ATPase CDC48A Complex Using Förster Resonance Energy Transfer-Fluorescence Lifetime Imaging Microscopy and Fluorescence Correlation Spectroscopy1[W][OA] , 2007, Plant Physiology.

[35]  Hervé Rigneault,et al.  Dynamic molecular confinement in the plasma membrane by microdomains and the cytoskeleton meshwork , 2006, The EMBO journal.

[36]  Elliot L. Elson,et al.  Fluorescence correlation spectroscopy : theory and applications , 2001 .

[37]  Petra Schwille,et al.  Fluorescence correlation spectroscopy for the study of membrane dynamics and protein/lipid interactions. , 2008, Methods.

[38]  P. Schwille,et al.  New concepts for fluorescence correlation spectroscopy on membranes. , 2008, Physical chemistry chemical physics : PCCP.

[39]  B. Berks,et al.  Overlapping functions of components of a bacterial Sec‐independent protein export pathway , 1998, The EMBO journal.