Reprints 66-75

Date:
1969-1973
Reference:
PP/CRI/M/1/4
Catalogue details

Licence: In copyright

Credit: Reprints 66-75. Source: Wellcome Collection.

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    A comparison of Tables 2 and 3 shows that, as expected, the sigmoid pump is the more efficient, since it can reach a given value of T for a lower value of the initial flux. However, the important point to notice is that for all the cases considered, the time T is not increased grossly above the value for the 'mathematical' model described first. Table 4. Calculated concentrations for the simple model At the point x(L = J Algebraic Reiterative method method 0-05 0-11384 (Co) 0-11446 (C„) 0-26276 0-26288 0-I5 0-3SSIS 0-355II 0-41157 0-41148 0-25 0-44601 0-44591 0-3 0-46704 0-46696 0-3S 0-47988 0-47981 0-4 0-48762 0-48766 °'45 0-49250 0-49246 o-S 0-49542 0-49540 point xjL = J Reiterative method 0-70560 (C 0 ) 0-74376 0-74912 0-74988 0-74988 The results presented in Tables 2 and 3 were calculated on a computer, for a model with twenty cells between x -o and x = L. The diffusion equation (cc¡8t) = D{d 2 c¡dx 2 ) (where c is concentration; D, diffusion con stant) was approximated as a finite difference equation : c{x, t + St) = c(x, t) + [c{x + Sx, t) + c(x - Sx, t) - 2c(x, i)] (?) where c(x, t) is the concentration at time t and the point x, St is the time interval between each step, and Sx the distance between each point. \\ e took D = 0*01, Sx = 0-05-L and St = o-oi (the conversion to dimensionless time gave T = (Dt/L 2 ) = o-oii). The concentrations c(o, t) and c{L, t) at the source and sink were changed according to the specifications for the flux of each model. In the simple With initial background 0-5 C 0 at the 0-70578 (C 0 ) 0-74386 0-74988
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