Mathematical modeling of spatio-temporal dynamics of Wnt signaling and its function in development and regeneration
Funding period: 2017-2025

Project Leaders
Abstract
The focus of this project is mathematical modeling of spatio-temporal dynamics of Wnt signaling leading to patterns of Wnt expression, and of their impact on symmetry breaking, tissue organization and maintenance. Mechanisms of pattern formation will be studied on the example of Hydra development and regeneration. The impact of Wnt signaling on stem cell activation and differentiation will be modelled in adult neurogenesis in mice. Mechanistic mathematical models will be built and validated iteratively, based on data provided by collaborating projects.

Project-related Publications
Injury-induced MAPK activation triggers body axis formation in Hydra by default Wnt signaling
The Wnt-specific astacin proteinase HAS-7 restricts head organizer formation in Hydra
Long-time shadow limit for a reaction–diffusion-ODE system
Kowall, C., A. Marciniak-Czochra, and A. Mikelic. February 2021. Applied Mathematics Letters. 106790.
Learn moreHysteresis-driven pattern formation in reaction-diffusion-ODE systems
Alexandra Köthe, Anna Marciniak-Czochra and Izumi Takagi. American Institute of Mathematical Science. June 2020, 40(6): 3595-3627. doi: 10.3934/dcds.2020170
Learn moreQuiescence Modulates Stem Cell Maintenance and Regenerative Capacity in the Aging Brain
Kalamakis G, Brüne D, Ravichandran S, Bolz J, Fan W, Ziebell F, Stiehl T, Catalá-Martinez F, Kupke J, Zhao S, Llorens-Bobadilla E, Bauer K, Limpert S, Berger B, Christen U, Schmezer P, Mallm JP, Berninger B, Anders S, Del Sol A, Marciniak-Czochra A, Martin-Villalba A. Cell. 2019 Mar 7;176(6):1407-1419.e14. PMID: 30827680
Learn morePost-Turing tissue pattern formation: Advent of mechanochemistry
Brinkmann F, Mercker M, Richter T, Marciniak-Czochra A. PLoS Comput Biol. 2018 Jul 3;14(7):e1006259. PMID:29969460
Learn moreDynamical spike solutions in a nonlocal model of pattern formation
Marciniak-Czochra, S. Härting, G. Karch and K. Suzuki (2018, Mar 27), Nonlinearity 31: 1757.
Learn moreRevealing age related changes of adult hippocampal neurogenesis using mathematical models
Development. 2018 Jan 8;145(1):dev153544. doi: 10.1242/dev.153544. PMID: 29229768
Learn moreStable patterns with jump discontinuity in systems with Turing instability and hysteresis
Härting, S., A. Marciniak-Czochra, and I. Takagi. February 2017. Disc. Cont. Dyn. Systems A. 37: 757-800.
Learn moreMechanochemical symmetry breaking in Hydra aggregates
Biophys J. 2015 May 5;108(9):2396-407. doi: 10.1016/j.bpj.2015.03.033. PMID: 25954896
Learn moreA mechanochemical model for embryonic pattern formation: Coupling tissue mechanics and morphogen expression
PLoS One. 2013 Dec 20;8(12):e82617. doi: 10.1371/journal.pone.0082617. eCollection 2013. PMID: 24376555
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