Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5002949 | IFAC-PapersOnLine | 2016 | 6 Pages |
Abstract
A simple yet generic approach is presented to extract the growth and breakage kinetics from the temporal data of heterogeneous cell population. The moment form of the one-dimensional population balance equation is directly solved by a MATLAB solver for linear systems to extract the kinetics. The corresponding systems of linear equations are, however, highly underdetermined and ill-conditioned. To address this, the problem is regularized by assuming a suitable upper bound of the solution. The range between minimum and maximum possible values of the solution is discretized into several sub-intervals. The system is then solved against each sub-interval, whose values are used as lower and upper bounds in a suitable MATLAB solver and a local solution is obtained in all these ranges. The final solution is then computed by taking average of all solutions having residual norms less than a particular threshold. To validate the method, the results of the inverse technique are compared and discussed against two theoretical experiments.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Mubashir Hussain, Steffen Waldherr,