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    Université de Fribourg

    Extending the mathematical palette for developmental pattern formation: piebaldism

    Dougoud, Michaël ; Mazza, Christian ; Schwaller, Beat ; Pecze, László

    In: Bulletin of Mathematical Biology, 2019, vol. 81, no. 5, p. 1461–1478

    Here, we present a theoretical investigation with potential insights on developmental mechanisms. Three biological factors, consisting of two diffusing factors and a cell- autonomous immobile transcription factor are combined with different feedback mechanisms. This results in four different situations or fur patterns. Two of them reproduce classical Turing patterns: (1) regularly spaced...

    Université de Fribourg

    The feasibility of equilibria in large ecosystems: A primary but neglected concept in the complexity-stability debate

    Dougoud, Michaël ; Vinckenbosch, Laura ; Rohr, Rudolf P. ; Bersier, Louis-Félix ; Mazza, Christian

    In: PLOS Computational Biology, 2018, vol. 14, no. 2, p. e1005988

    The consensus that complexity begets stability in ecosystems was challenged in the seventies, a result recently extended to ecologically-inspired networks. The approaches assume the existence of a feasible equilibrium, i.e. with positive abundances. However, this key assumption has not been tested. We provide analytical results complemented by simulations which show that equilibrium...

    Université de Fribourg

    The effect of gap junctional coupling on the spatiotemporal patterns of Ca2+ signals and the harmonization of Ca2+-related cellular responses

    Dougoud, Michaël ; Vinckenbosch, Laura ; Mazza, Christian ; Schwaller, Beat ; Peczey, László

    In: PLOS Computational Biology, 2016, vol. 12, no. 12, p. e1005295

    The calcium ion (Ca²⁺), a universal signaling molecule, is widely recognized to play a fundamental role in the regulation of various biological processes. Agonist–evoked Ca²⁺ signals often manifest as rhythmic changes in the cytosolic free Ca²⁺ concentration (ccyt) called Ca²⁺ oscillations. Stimuli intensity was found to be proportional to the oscillation frequency...