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Measurement of Fluorescent Lifetimes: Time-Domain Time-Correlated Single Photon Counting (TCSPC) vs. Stroboscopic (Boxcar) Techniques.
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Deconvolution F(t) = i e -t/ I S(t) = L(t)F(t)dt
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Time-Resolved Emission Spectra
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Measurement of Fluorescent Lifetimes: Frequency-Domain
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Exciting Light: L(t) = a + bsin( t) ( = 2 x freq.) Emitted Light: F(t) = A + Bsin( t - ) Lifetimes: tan = x p m = (B/A)/(b/a) = [1 + ² m ²] -½
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Measurement of Fluorescent Lifetimes: Frequency-Domain
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HN Fluorescent Molecules
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HN Intrinsic Fluorescent Probes (i.e. tryptophan): Sensitive to local environment Relatively small Readily available in proteins Generated by site-directed mutagenesis Covalent Extrinsic Probes (i.e. TAMRA): Broad range of spectral properties Bright, relatively photostable Well characterized conjugation chemistry Non-covalent Probes (i.e. mant-ATP): Similar properties to covalent probes No need to permanently modify protein Target active site or ligand binding sites Fluorescent Molecules
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Intrinsic Fluorophores
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Extrinsic Fluorophores
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Protein Structural Dynamics: effects on fluorescence emission spectra Polarization experiments are sensitive to changes in orientation of a fluorescent probe. Spectral Shifts depend on the environment around a fluorescent probe. A more polar environment tends to red shift the emission spectrum and a less polar environment tends to blue shift the emission spectrum. Dynamic Quenching experiments are a quantitative way to measure the accessibility of a fluorescent probe to quenching molecules in the solvent. FRET (Fluorescence Resonance Energy Transfer) experiments can measure the distance between a donor probe and an acceptor probe on the protein.
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Dynamic Quenching: measure accessibility to solvent and rates of diffusion. k q - bimolecular quenching constant, proportional to rate of diffusion of quencher or fluorophore. = k F /(k F + k NR ) Q = k F /(k F + k NR + k q [Q]) k q [Q] = pseudo-first order rate constant (M -1 s -1 ) since [Q] >> [F]. / Q = (k F + k NR + k q [Q])/ (k F + k NR ) = 1 + k q [Q]/ (k F + k NR ) and since = 1/(k F + k NR ) / Q = 1 + k q [Q] Stern-Volmer Equation: F 0 /F = 1 + K D [Q] K D = k q = Stern-Volmer quenching constant. Plot of (F 0 /F - 1) vs. [Q] is linear with slope = K D. hv kFkF k NR k q [Q] S1S1 S0S0
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F 0 /F = = 1 + k q [Q] = 1 + K D [Q] Stern-Volmer Plots
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Static Quenching F 0 /F = 1 + K S [Q] K s = equilibrium constant for quencher binding to fluorophore ([F-Q]/[F][Q]). Static quenching can be differentiated from dynamic quenching by: 1.) lifetime measurements - static quenching alters intensity, not lifetime. dynamic quenching alters both. 2.) temperature effects –
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Combined Dynamic and Static Quenching: Stern-Volmer plot is concave upward. F 0 /F = (1 + K D [Q]) x (1 + K S [Q]) = 1 + (K D + K S )[Q] + K D K S [Q] 2 = 1 + K app [Q] therefore
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Combined Dynamic and Static Quenching MAC
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Therefore Quenching Sphere of Action
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Two Populations of Fluorophores: one accessible to solvent, one not. F = F a + F b = (F 0a /(1 + K a [Q])) + F 0b (F 0 /(F 0 – F)) = 1/(ƒK[Q]) +1/ƒ where ƒ = F 0a /( F 0a + F 0a ), a = accessible and b = buried.
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Electrostatic Effects on Dynamic Quenching
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Dynamic Quenching – Two Populations of Fluorophores
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1. Apoazurin Pf1 2. Ribnuclease T 1 3. Staphylococcus nuclease 4. Glucagon
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Collisional Quenching in Proteins Buried Residue Exposed Residue
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