Referring to Fig. 1, consider a square microchannel of width 2 W, height 2 H (W= H, while for a square), and length L; the steady-state velocity field in an electrokinetically driven, fully developed flow field in this microchannel can be found through the following analysis.
In order to modify the electrostatic potential, we use a square pulse of width τv and magnitude Vg0.
The shape of adsorption/desorption isotherms of soft solids with slit pores depends on a dimensionless parameter, which is proportional to Young's modulus, the square of pore width, and inversely proportional to the adhesion energy of the solid.
The square of the width of the wave packet (w_{s}(t)^{2}) evolves according to the following relation: w_{s}(t)^{2} = bigllangle hat{x}^{2}(t) bigrrangle _{s} = bigllangle hat{x}^{2}(0) bigrrangle + frac{t^{2}}{m^{2}} bigllangle hat{p}^{2}(0) bigrrangle.
The red rectangle around this region is shown in b which will be replaced in the next step by the green square of the width equal to the base of red rectangle as in c.
The tumour volume was calculated by multiplying the length of the tumour by the square of the width and dividing the product by two.
Though derived for a sphere, this equation reflects the general relationship between cross section and the width of the main lobe for targets of any shape, i.e. the FSCS is inversely proportional to the square of the FSML width.
It is also shown that the commutation error can be expressed in terms of the filtered field and its derivatives as an asymptotic series in the square of the filter width.
If it is simply scaled up, the ratio of its volume to surface area increases, because surface increases as the square of length or width while volume increases proportionally to the cube.
At each site a sampling window square of 100 microns width was chosen avoiding blood vessels.
