B05

Mathematical modeling of spatio-temporal dynamics of Wnt signaling and its function in development and regeneration

Funding period: 2017-2025

Project B05

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

The Wnt-specific astacin proteinase HAS-7 restricts head organizer formation in Hydra

Ziegler B, Yiallouros I, Trageser B, Kumar S, Mercker M, Kling S, Fath M, Warnken U, Schnölzer M, Holstein TW, Hartl M, Marciniak-Czochra A, Stetefeld J, Stöcker W, Özbek S. BMC Biol. 2021 Jun 9;19(1):120. 
PMID: 34107975

Learn more
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 more
Hysteresis-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 more
Quiescence 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 more
Post-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 more
Dynamical 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 more
Revealing age related changes of adult hippocampal neurogenesis using mathematical models

Ziebell F, Dehler S, Martin-Villalba A, Marciniak-Czochra A. Development. 2018 Jan 8;145(1):dev153544. doi: 10.1242/dev.153544. PMID: 29229768

Learn more
Stable 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 more
Mechanochemical symmetry breaking in Hydra aggregates

Mercker M, Köthe A, Marciniak-Czochra A. Biophys J. 2015 May 5;108(9):2396-407. doi: 10.1016/j.bpj.2015.03.033. PMID: 25954896

Learn more
A mechanochemical model for embryonic pattern formation: Coupling tissue mechanics and morphogen expression

Mercker M, Hartmann D, Marciniak-Czochra A. PLoS One. 2013 Dec 20;8(12):e82617. doi: 10.1371/journal.pone.0082617. eCollection 2013. PMID: 24376555

Learn more