When the diffusion of free BCR, free LFA-1 and LFA-1/ICAM-1 complexes is weakly biased (ηB = ηL = ηLI = 1.01, 1.02, Figs. 5a and 5b, respectively), synapse formation is observed.
The analysis provides semi-quantitative conditions for both diffusion-free and diffusion-limited behavior.
Using angle and time resolved SPR measurements; we show that adsorption behaviors of both proteins are dominated by diffusion-free second order Langmuir kinetics.
We investigate the range of applicability of the diffusion-free RTD and show that it is a good estimation for liquids in a certain range of Reynolds numbers.
For this equation, Hamel and Nadirashvili in [8] proved the existence of entire solutions by the comparison theorem and super-sub estimates, which consists of traveling front solutions and solutions to the diffusion-free equations.
In the case of sedimentation of two-component mixtures, this study presents simple analytical solutions that solve the underlying equations in the diffusion-free limit previously subject to Gilbert-Jenkins theory.
This allows us to determine in an analytical manner approximate expressions for the diffusion-free RTD of fully developed laminar flow in a straight rectangular channel of arbitrary aspect ratio.
This is done by solving a diffusion-free core flow problem, begin{array}rcl@ text{Step 2. Find},, mathbf{u}_{s},text{suchh that}&& textbf{e}_{r} cdot left(dot{mathbf{B}}^{o} - widehat{textbf{D}}_{text{dyn}} right) &=& - boldsymbol{nabla}_{h} cdot left(mathbf{u}_{s} widehat{B}_{r} right) text{at},, r=c, end{array} (13).
In this analytical paper, we derive general mathematical relations which allow computing the diffusion-free differential and cumulative RTD in straight planar, circular and concentric annular channels for arbitrary monotonic and piece-wise monotonic one-dimensional velocity profiles.
In literature, the diffusion-free residence time distribution (RTD) of laminar flows – the so-called convection model – has been determined for various velocity profiles mostly on a case-by-case basis.
