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It should be noted that progenitor and smooth muscle cells are allowed to diffuse with a very small diffusion coefficient DC (orders of magnitude lower than for the receptor Ptc) to improve computational stability and accuracy; the exact value of DC has no impact on the distribution of proteins and may reflect random cell movement.
Similar to our results in the previous section, when the Damkohler number is small, diffusion dominates and the corrections to pure diffusive motion disappear.
The cell flux in (3) decomposes into an activation front, a small diffusion contribution (∂ tm−δΔm) and a drift enhanced by the gradient of the diffusing signal (∂ tm+∇(χ(m m∇c)).
When both swelling and water content are small, diffusion rates are correspondingly slow.
In general, large particle size or/and small diffusion coefficient slow down the breakthrough trend.
The penalty method is obtained by adding small diffusion in the interface FD.
Magnetic nanoparticles (MNPs) are known as efficient adsorbents with large specific surface area and small diffusion resistance [21, 22].
Numerical solutions of the stochastic model are analyzed for small diffusion with (gamma_{i}=0.5), (i=overline{(1,4 }).
We prove the existence of a positive monotonous solution to the shadow system for each small diffusion rate (epsilon >0).
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As expected, larger proteins and smaller pore sizes resulted in smaller diffusion coefficients.
The strong correlations between particles in the ILs group (II) led to smaller diffusion coefficients than the ILs group (I).
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