| FRAP data |
| FrawData(t) |
Raw FRAP data |
| FData(t) |
Back ground corrected FRAP data |
| F0 |
Florescence right after photobleaching |
| Fi |
Prebleach steady state fluorescence |
| F∞ |
Postbleach steady state fluorescence |
| Mf |
Mobile fraction |
| τ1/2 |
Half time of recovery |
| FrawWhole(t) |
Fluorescence intensity from the whole image |
| FWhole(t) |
Back ground corrected FrawWhole(t) |
| FRAP model |
| ℝ2 |
Infinite plane |
| D |
Normal diffusion coefficient |
| D(t) |
Anomalous diffusion coefficient |
| Γ |
Diffusion coefficient for anomalous diffusion |
| α |
Anomalous diffusion exponent D(t) = Γtα-1/4 |
| kon |
On binding rate constant |
| koff |
Off binding rate constants |
| κ |
Photofading rate constant |
| I(x, y) |
Gaussian laser profile |
| rn |
Nominal radius |
| re |
Effective radius |
| γ |
rn/re |
| q |
Quantum yield |
| ϵ |
Laser attenuation constant |
| ΦD(x, y, t) |
Fundamental solution of heat equation |
| K, Ka, Kl |
Bleaching depth parameters |
| FAD(t) |
Anomalous diffusion FRAP equation |
| FND(t) |
Normal diffusion FRAP equation |
| Fb |
Background fluorescence |
| u |
Fluorescent molecule concentration |
| ui |
Postbleach fluorescent molecule concentration |
| τD, τ, τΓ |
Diffusion time, τ D = r e 2 / ( 4 D ) , τ = r e 2 / 4 , τ Γ = α r e 2 / Γ |
| ut |
∂u/∂t |
| Δ |
Laplacian operator, ∂2/∂x2+∂2/∂y2 |
| Operators |
| c1, c2 |
Constants |
| φ, ψ |
Functions |
| ℒ |
Linear operator, ℒ(c1 φ+c2 ψ) = c1ℒ(φ)+c2ℒ(ψ) |
| ℒND |
Operator for normal diffusion. ℒND = ∂/∂t-DΔ |
| ℒAD |
Operator for anomalous diffusion. ℒND = ∂/∂t-D(t)Δ |
| ℒdAD |
Operator for anomalous diffusion with photofading |
| ℒBD |
Operator for binding diffusion |
| Subscripts |
| ND, AD |
Normal Diffusion, Anomalous Diffusion |
| d |
Photofading corrected |
| Mf |
Mobile fraction corrected |
| a |
Affine scaling |
| l |
Linear scaling |
| Scaled FRAP equation |
| F(t) |
Unscaled fluorescence intensity |
| f(t) |
Scaled fluorescence intensity |
| fdAD(t) |
FAD(t) corrected for photofading |
| fdND(t) |
FND(t) corrected for photofading |
| fADaMf(t) |
FAD(t) corrected for mobile faction Mf (affine) |
| fNDaMf(t) |
FND(t) corrected for mobile faction Mf (affine) |
| fADlMf(t) |
FAD(t) corrected for mobile faction Mf (linear) |
| fNDlMf(t) |
FND(t) corrected for mobile faction Mf (linear) |
| fdADaMf(t) |
FAD(t) corrected for photofading and Mf (affine) |
| fdNDaMf(t) |
FND(t) corrected for photofading and Mf (affine) |
| fdADlMf(t) |
FAD(t) corrected for photofading and Mf (linear) |
| fdNDlMf(t) |
FND(t) corrected for photofading and Mf (linear) |
