this is for holding javascript data
Liisa Hirvonen edited Introduction.tex
almost 9 years ago
Commit id: 19ce7c568079a543e126697844213b5539ea7f50
deletions | additions
diff --git a/Introduction.tex b/Introduction.tex
index 039a126..ff581df 100644
--- a/Introduction.tex
+++ b/Introduction.tex
...
However, proteins have a rough surface, are often not perfectly spherical, and the ionic charge has an effect to the diffusion of a molecule in solution. The hydrodynamic radius $R_h$, defined as the radius of a hard sphere that diffuses at the same rate as that solute, takes these effects into account. The hydrodynamic radius is important in predicting transretinal penetration.\cite{Jackson2003} For example, Ambati et al.\ reported that the globular protein albumin, with a MW of 69~kDa and $R_h$ of 3.62~nm, had approximately twice the scleral permeability of a linear dextran of 40~kDa and $R_h$ of 4.5~nm.\cite{Ambati2000a}
Small-angle scattering studies using X-rays (SAXS) or neutrons (SANS) as well as dynamic light scattering (DLS) have been used for measuring
$R_h$. $R_h$.[Needs references] Global analysis of hundreds of proteins has led to the definition of empirical relationships between $R_h$ and the number of amino acids $N$, related to the MW by \(N = \frac{\text{MW}}{110 \text{ Da}}\). Such formulas have been defined, for example, by Wilkins \cite{Wilkins1999}
\begin{equation}
R_h=4.75\cdot N^{0.29} \label{eq:Wilkins}
\end{equation}