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70th ISMS at UIUC Dynamics/Kinetics/Ultrafast Tuesday, June 23, 2015 Multiscale Dynamics of Diffusing Molecules in Crowded Environments Ahmed A. Heikal Department of Chemistry & Biochemistry University of Minnesota-Duluth, Duluth, MN, 55812, USA Living Cells are Crowded by Macromolecules and Organelles The cell is a crowded environment: Medalia et al., 2003; Ellis 2001 ; Rivas et al., 2004; Minton, 2001 Crowding influences the kinetics of biochemical reactions: Minton, 2001 and 2006; Somalinga & Roy, 2002; Ellis & Minton, 2003 Actin Filaments Membranes Crowding influences protein folding and protein assembly: Banks and Fradin, 2005; Minton 1977, 2000; Tokuriki et al., 2004 Crowding influences diffusion: Banks and Fradin, 2005; Verkman 2002; Lavalette et al., 1999; Zorilla et al., 2007; Sanabria et al., 2007; Dix and Verkman, 2008 Macromolecules Medalia, et al. Science (2002) Random Walk and Stokes-Einstein Model Diffusion coefficient (cm2/s) for a molecular undergoing a random walk: Thermal Energy kBT D= = Friction 6pha www.google.com/image Temperature: D T Viscosity: D η Size: D a éhcrowding é Dbuffer =é é Dcrowding é hbuffer éT, a Excluded Volumes in Crowded Environments Excluded volume Excluded volume Minton, 2001; Rivas et al., 2003 Diffusion in Crowded Environments: Hypothesis Control Homogeneous & S-E Model C R G Scenario I O W D Scenario II I N Scenario III Confinement Binding (Specific Electrostatic (Buffer-Like Cages) or Non-specific) Interactions (Transient/Long-Lived) Biomimetic Crowding Agents and Methods For Diffusion Measurements (Rhodamine Green) Continuum Solution: - Glycerol-Enriched Solutions Crowded Solutions: - Ficoll-70 (70 kDa) - Bovine Serum Albumin, BSA (66 kDa) - Ovalbumin (45 kDa) Bulk Viscosity Measurements: - Ubbelohde Viscometer Diffusion Measurements: - Time-Resolved Anisotropy (ns) - FCS (μs – tens of seconds) Heikal. In “Advances in Planar Lipid Bilayers & Liposomes” Elsevier (2010) r(x, y,t) = I // (x, y,t) - I ^ (x, y,t) I // (x, y,t) + 2I ^ (x, y,t) Heikal. In “Reviews in Fluorescence” (2011) Anisotropy Yu et al., J. Biomed. Optics (2008) V k BT DR k BT 8a 3 Fluorescein: = 140 ps Time (ns) TCSPC: 2P-FLIM & Time-Resolved Anisotropy Intensity Image FLIM Image 950 nm Crowding Effect on Fluorescence Lifetime: Refractive Index BSA Ovalbumin Glycerol Ficoll-70 Strickler-Berg Equation Anisotropy, r(t) Rotational Diffusion Reveals Binding (A) RhG (Glycerol) (C) RhG (BSA) (B) RhG (Ficoll-70) (D) RhG (Ovalbumin) Time (ns) Time (ns) RhG Binding with BSA fbound = [BSA] K d + [BSA] Kd = 7.0 ± 0.6 M Do/Dc DR = 1 kBT = 6j hV D0 éhc é =é é Dc éh0 éT , a ηc/ηo ηc/ηo FCS: 2wz 2wxy G() Ci (r , t ) Di 2Ci (r , t ) TijCi (r , t ) t j Rhodamine Green: N 17.6 molecules D 0.13 ms D 2.8 ×10-6 cm2s-1 xw 250 nm Vobs ~1 × 10-15 L G ( ) F D Watt W. Webb (1972) Lag Time (ms) F (t ).F (t ) 2 2 wxy 4D k BT D 6a Hess, Huang, Heikal, Webb. Biochemistry, 2002. Crowding Effects on Translational Diffusion (C) RhG (BSA) (B) RhG (Ficoll-70) (D) RhG (Ovalbumin) G() G() (A) RhG (Glycerol) Correlation Time (ms) Correlation Time (ms) Do/Dc ηc/ηo kBT DT = 6pha D0 éhc é =é é Dc éh0 éT , a ηc/ηo ηc/ηo Anisotropy, r(t) Anisotropy, r(t) Anisotropy, r(t) G() Correlation Time (ms) RhG (BSA) RhG (Glycerol) Time (ns) RhG (Ficoll-70) Time (ns) Viscosity, cP Bulk Viscosity versus Microviscosity [Glycerol], g/L - In homogeneous environment, molecules experience the same viscosity on ns & ms timescales as bulk viscosity Diffusion in Crowded Environments: Conclusion Control Homogeneous & S-E Model C R G Scenario I O W D Scenario II I N Scenario III Confinement Binding (Specific Electrostatic (Buffer-Like Cages) or Non-specific) Interactions (Transient/Long-Lived) BACE1 Cellular Trafficking BACE1 BACE 1 activity is the rate limiting step for β-amyloid formation in AD Heikal, Biomarkers in Medicine, (2010) Heikal, SPIE (2014) University of Minnesota Duluth: Graduates D. Wickramasinghe R. Welty K. Hewawasam J. Alfveby S. Gardeen University of Minnesota Duluth: Undergraduates J. Bartusek J. Bentley M. Velasquez C. Thao (McNair Scholar) H. Israelson T. Ward R. Timerman B. Berry T. Fransen Megan Currie