Extraction of Physiological State Functions in Heterogeneous Cell Population Models^*

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• 作者：Mubashir Hussain^* ; ^{mubashir.hussain@fau.de} ; Steffen Waldherr^** ; ^*** ; ^**** ; ^{steffen.waldherr@kuleuven.be}
• 关键词：Kinetics ; Inverse Problem ; Population Balances
• 刊名：IFAC-PapersOnLine
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：49
• 期：26
• 页码：258-263
• 全文大小：439 K
• 卷排序：49

文摘

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.