Dr. Andreas Groh
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Tel. [49] (0)681/302-3218
Room 4.09 (Building E1 1)
Research Interests
- Mathematical modelling in (systems) biology and medicine
- Especially: biased and random cell migration
Cell migration is a frequently observable ability of eukaryotic cells and it is essential for many physiological and pathological processes like immune response, wound healing, embryonic development and tumour pathogenesis. Migrating fibroblasts synthesise collagen which characterises the structural framework of the extracellular matrix (ECM). These cells play a crucial role in wound healing as well as in the desmoplastic stromal reaction (DSR). Essentially, this process is an abnormal increase of collagen as response to tumour invasion and it is, to a certain extent, comparable with dermal wound healing. Thereby, the migratory behaviour of the fibre producing fibroblasts governs the progression of the DSR. The cells are predominantly influenced by natural friction in their surrounding, random fluctuations and by the directional biases chemotaxis and contact guidance. The mathematical modelling of the DSR, i.e. essentially the cell migration and the corresponding temporal evolution of the fibrous material was one aim of my PHD thesis.
This video shows some aspects of the work. The following steps are depicted:
- Digital image of a real histological slice.
- Manual Segmentation and classification of the cellular structures: dark grey represents chemoattractant producing tumour whilst light grey stands for healthy or necrotic tissue. The area of the ineluctable artefacts are also taken into account and they are filled with red.
- The polygonal boundaries of the segmented structures define the ECM-area and serve as input for the numerical simulations. Initially, some fibroblasts are randomly inserted into the ECM (white area) before the actual simulation starts. The black lines illustrate the smoothed cell trajectories.
- Post processing: based on the cell trajectories and collagen density distribution further information concerning fibre architecture are gained.
Curriculum Vitae
20th Aug. 1977 | Birth |
June 1996 | Graduated from Helmholtz-Gymnasium, Zweibrücken |
1996/97 | Civilean Service |
Okt. 1997 | Begin of Studies to become a teacher in mathematics and biologie at the Saarland Univeristy. Title of the final paper: "Algorithmenentwicklung in der Tomosynthese: Ein spezielles Tomographieverfahren", supervised by Prof. Dr. A.K. Louis |
Sept. 2003 | First State Examination |
Okt. 2003 | Begin doctoral studies in applied mathematics at the chair of Prof. Dr. A.K. Louis |
since Jan. 2004 | Scientific assistant at the chair of Prof. Dr. A.K. Louis |
Feb. 2009 | Doctorate degree (rer. nat.), Title of the thesis: Stochastische Modellierung der durch Taxien beeinflussten Zellmigration und Simulation der extrazellulären Matrix |
Lectures
Publications
- Numerical rate function determination in partial differential equations modeling cell population dynamics J. Math. Biol. (2017), 74(3), 533-565.
- Improved solution methods for an inverse problem related to a population balance model in chemical engineering Inverse Problems 28 (2012) 085006.
- Numerical rate function determination in partial differential equations modeling cell population dynamics submitted
- Efficient solution of an inverse problem in cell population dynamics
Inverse Problems 27 (2011) 065009 (25pp)
Paper Selected in "2011 Highlights for Inverse Problems" - Biased three-dimensional cell migration and collagen matrix modification Mathematical Biosciences 231, 2011, 105-119
- Parameter Estimation in Population Balance Models
AIP Conf. Proc., September 2010, Volume 1281, pp. 1971-1974
ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics - Stochastic modelling of biased cell migration and collagen matrix modification Journal of Mathematical Biology 61, 617-647, 2010
- Mathematische Modellierung in der Systembiologie Der Pathologe, 29 (2008), 135-140.
- Signaltheoretische Analyse histologischer Daten im Ortsfrequenzraum Der Pathologe, 29 (2008), 129-134.
- Virtuelles Gewebe Der Pathologe, 29 (2008), 123-128.
- Photorealistische Generierung histologischer und histopathologischer
Schnittpräparate
Bildverarbeitung für die Medizin 2006
Algorithmen - Systeme - Anwendungen
Proceedings des Workshops vom 19. bis 21. März 2006 in Hamburg
Herausgegeben von Heinz Handels, Jan Ehrhardt, Alexander Horsch, Hans-Peter Meinzer und Thomas Tolxdorff - Neue Perspektiven des E-Learning für Blinde und hochgradig Sehbehinderte GMS Medizinische Informatik, Biometrie und Epidemiologie, 2 (2006), Doc18.
- Simulating Soft Data to make Soft Data applicable to Simulation In Vivo, (Jan-Feb 2006), 20(1), pp. 49-54