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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

Statistical modelling of navigational decisions based on intensity versus directionality in Drosophila larval phototaxis

Andres-Bragado, Lucia de ; Mazza, Christian ; Senn, Walter ; Sprecher, Simon G.

In: Scientific Reports, 2018, vol. 8, no. 1, p. 11272

Organisms use environmental cues for directed navigation. Understanding the basic logic behind navigational decisions critically depends on the complexity of the nervous system. Due to the comparably simple organization of the nervous system of the fruit fly larva, it stands as a powerful model to study decision-making processes that underlie directed navigation. We have quantitatively...

Consortium of Swiss Academic Libraries

Stochastic gene expression in switching environments

Gander, Martin ; Mazza, Christian ; Rummler, Hansklaus

In: Journal of Mathematical Biology, 2007, vol. 55, no. 2, p. 249-269

Consortium of Swiss Academic Libraries

Strand separation in negatively supercoiled DNA

Mazza, Christian

In: Journal of Mathematical Biology, 2005, vol. 51, no. 2, p. 198-216

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

Quantitative chemical biosensing by bacterial chemotaxis in microfluidic chips: Chemotaxis-microfluidic biosensor

Roggo, Clémence ; Picioreanu, Cristian ; Richard, Xavier ; Mazza, Christian ; Lintel, Harald van ; Meer, Jan Roelof van der

In: Environmental Microbiology, 2018, vol. 20, no. 1, p. 241–258

Whole-cell bacterial bioreporters are proposed as alternatives to chemical analysis of, for example, pollutants in environmental compartments. Commonly based on reporter gene induction, bioreporters produce a detectable signal within 30 min to a few hours after exposure to the chemical target, which is impractical for applications aiming at a fast response. In an attempt to attain faster...

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...

Université de Fribourg

Matching–centrality decomposition and the forecasting of new links in networks

Rohr, Rudolf P. ; Naisbit, Russell E. ; Mazza, Christian ; Bersier, Louis-Félix

In: Proc. R. Soc. B, 2016, vol. 283, no. 1824, p. 20152702

Networks play a prominent role in the study of complex systems of interacting entities in biology, sociology, and economics. Despite this diversity, we demonstrate here that a statistical model decomposing networks into matching and centrality components provides a comprehensive and unifying quantification of their architecture. The matching term quantifies the assortative structure in which node...