Dr. Elfriede Friedmann (Stöckel)

Junior Research Group
Mathematical modeling and simulations in ophthalmology

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Development of Mathematical Modeling to analyze the interaction of cytokines and the pathomorphology of the Macula with Retinal Diseases
The long-term aim of this project is the development of an efficient companion diagnostics of the contemporary anti-VEGF therapy to provide an opportunity for a personalized and economical therapy for retinal diseases. Therefore, it is necessary to know more about the 3d-distribution of protein concentrations in the vitreous. This information will be obtained after a systematic mathematical modeling of the underlying physiological processes. For that purpose we will develop diffusion models, which will be refined later to reaction-diffusion systems by adding the protein interactions to the diffusion process, and specific numerical methods (adaptive finite element methods) for the simulation and evaluation of the developed models. Their calibration results from medical in-vivo data from vitrectomy and imaging techniques like ultrasound (US) and optical coherence tomography (OCT). The identified protein concentrations from realized intravitreal combination therapies will be correlated with the morphology of the retina and with changes of visual acuity. This will lead to a new long-term therapeutical approach for the treatment of retinal diseases like the age-related macular degeneration (AMD), the diabetic retinopaty (DRP) or retinal vein occlusion (RVO).
Involved scientists and partners
Dr. E. Friedmann, S. D¨orsam, J. Stein (Institute of Applied Mathematics)
Prof. Dr. med. G. U. Auffarth, PD Dr. med. M. J. Koss, K. Ceglowska, I. Dacheva (Heidelberg University Hospital)
Prof. C. Y. Choi, Dr. P. März (David Apple Laboratory)
E. Friedmann, A. C. Pfeifer, R. Neumann, U. Klingmüller und R. Rannacher: Interaction between experiment, modeling and simulation of spatial aspects in the JAK2/STAT5 signaling pathway, in: Modellgestützte Parameterschätzung – Theorie und Anwendungen (R. Rannacher, G. Bock, eds.), Springer, 2013.
J. Claus, E. Friedmann, U. Klingmüller, R. Rannacher und T. Szekeres, Spatial aspects in the SMAD signaling pathway, J. Math. Biol. 67(5), 1171-1197, 2013.
E. Friedmann, R. Neumann, R. Rannacher, Well-posedness od a linear spatio-temporal model of the JAK2/STAT5 signaliong pathway, CMA, 15 (2), 76-102, 2013.
Koch, F.H. and M.J. Koss, Microincision vitrectomy procedure using Intrector technology. Archives of ophthalmology, 2011. 129(12): p. 1599-604.
M.J. Koss., et al., Comparison of cytokine levels from undiluted vitreous of untreated patients with retinal vein occlusion. Acta ophthalmologica, 2012. 90(2): p. e98-e103.
M.J. Koss, J Hoffmann, N Nguyen, M Pfister, H Mischak, W Mullen, H Husi, R Rejdak, F Koch, J Jankowski, K Krueger, T Bertelmann, J Klein, JP Schanstra & J Siwy (2014): Proteomics of vitreous humor of patients with exudative age-related macular degeneration. PLoS One 9: e96895.
Auffarth GU, Wesendahl TA, Solomon KD, Brown SJ, Apple DJ. A modified preparation technique for closed-system ocular surgery of human eyes obtained postmortem: an improved research and teaching tool. Ophthalmology. 1996 Jun;103(6):977-82. PubMed PMID: 8643258.

Last modified: October, 2015 Elfi Friedmann