by Steffen Waldherr, Robert Frysch, Tim Pfeiffer, Theresa Jakuszeit, Shen Zeng, Georg Rose
Abstract:
Heterogeneity among cells is a common characteristic of living systems. For mathematical modeling of heterogeneous cell populations, one typically has to reconstruct the underlying heterogeneity from measurements on the population level. Based on recent insights into the mathematical nature of this problem as an inverse problem of tomographic type, we evaluate numerical methods to perform such a reconstruction in basic case studies. We compare a kernel density based optimization approach, filtered back projection, and algebraic reconstruction techniques. The latter two are well established methods in computed tomography.
Reference:
A numerical evaluation of state reconstruction methods for heterogeneous cell populations (Steffen Waldherr, Robert Frysch, Tim Pfeiffer, Theresa Jakuszeit, Shen Zeng, Georg Rose), In 2015 European Control Conference (ECC), 2015.
Bibtex Entry:
@inproceedings{waldherr_numerical_2015,
	title = {A numerical evaluation of state reconstruction methods for heterogeneous cell populations},
	doi = {10.1109/ECC.2015.7330982},
	abstract = {Heterogeneity among cells is a common characteristic of living systems. For mathematical modeling of heterogeneous cell populations, one typically has to reconstruct the underlying heterogeneity from measurements on the population level. Based on recent insights into the mathematical nature of this problem as an inverse problem of tomographic type, we evaluate numerical methods to perform such a reconstruction in basic case studies. We compare a kernel density based optimization approach, filtered back projection, and algebraic reconstruction techniques. The latter two are well established methods in computed tomography.},
	booktitle = {2015 {European} {Control} {Conference} ({ECC})},
	author = {Waldherr, Steffen and Frysch, Robert and Pfeiffer, Tim and Jakuszeit, Theresa and Zeng, Shen and Rose, Georg},
	month = jul,
	year = {2015},
	keywords = {algebraic reconstruction techniques, cell heterogeneity, cellular biophysics, computed tomography, computerised tomography, Density functional theory, filtered back projection, heterogeneous cell populations, image reconstruction, inverse problem, Kernel, kernel density based optimization approach, living system characteristic, mathematical modeling, medical image processing, numerical analysis, numerical evaluation, Numerical models, optimisation, Optimization, population level, Sociology, state reconstruction methods, Statistics, tomographic type},
	pages = {2926--2931}
}