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- W2022150802 abstract "The solution of integropartial differential equations resulting from statistical formulations of the behavior of cell populations has been investigated. In particular, a statistical model that views the microbial population as distributed according to its mass has been analyzed in detail. Solutions were obtained for growth in a well-stirred vessel for batch and continuous systems by the method of weighted residuals. The trial solutions were expressed as linear combinations of basic functions from a set complete in L2[0, ∞) and the coefficients of the expansion determined by weighting the residual with functions also from a set complete in L2[0, ∞). The solutions obtained by the method of weighted residuals were found to be sufficiently accurate in most cases. By using them as initial approximations to a successive approximation scheme, increased accuracy could be obtained within a short number of iterations. Various choices of basic and weighting functions were considered. The method used in this work may be pertinent to other particle fission processes." @default.
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- W2022150802 date "1971-02-01" @default.
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- W2022150802 title "On the solution of statistical models of cell populations" @default.
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