Synchronization dynamics of chemically coupled cells with activator–inhibitor pathways

Ghomsi, P. Guemkam; Kakmeni, F. M. Moukam; Kofané, Timoléon Crépin; Tchawoua, Clément

doi:10.1016/j.physleta.2014.05.057

Cited by 12 publications

(1 citation statement)

References 43 publications

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“…Biological processes are underpinned by much more than a mere combination of uniformly distributed molecules reacting with one another in a diffusive regime. In cells, functionality strongly depends on the proper spatial and temporal synchronization of biochemical reactions . In particular, compartmentalization and colocalization are pervasive mechanisms that regulate a variety of cellular processes in living systems .…”

Section: Introductionmentioning

confidence: 99%

Programming DNA‐Based Systems through Effective Molarity Enforced by Biomolecular Confinement

Rossetti

Bertucci

Patiño

et al. 2020

Chemistry A European J

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The fundamental concept of effective molarity is observed in av ariety of biological processes, such as protein compartmentalization within organelles, membrane localization and signaling paths. To controlm olecular encountering and promotee ffective interactions, nature places biomolecules in specific sites inside the cell in order to generate a high, localized concentration different from the bulk concentration. Inspired by this mechanism, scientists have artificially recreated in the lab the same strategy to actuate and control artificial DNA-based functional systems. Here, it is discussed how harnessing effective molarity has led to the development of an umber of proximity-induced strategies, with applications ranging from DNA-templated organic chemistry and catalysis, to biosensing and protein-supported DNA assembly.

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Section: Introductionmentioning

confidence: 99%

Programming DNA‐Based Systems through Effective Molarity Enforced by Biomolecular Confinement

Rossetti

Bertucci

Patiño

et al. 2020

Chemistry A European J

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show abstract

Ratcheting and energetic aspects of synchronization in coupled bursting neurons

2015

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Local and global analysis of endocrine regulation as a non-cyclic feedback system

2018

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To understand the sophisticated control mechanisms of the human's endocrine system is a challenging task that is a crucial step towards precise medical treatment of many disfunctions and diseases. Although mathematical models describing the endocrine system as a whole are still elusive, recently some substantial progress has been made in analyzing theoretically its subsystems (or axes) that regulate the production of specific hormones. Secretion of many vital hormones, responsible for growth, reproduction and metabolism, is orchestrated by feedback mechanisms that are similar in structure to the model of simple genetic oscillator, described by B.C. Goodwin. Unlike the celebrated Goodwin model, the endocrinal regulation mechanisms are in fact known to have non-cyclic structures and involve multiple feedbacks; a Goodwin-type model thus represents only a part of such a complicated mechanism. In this paper, we examine a non-cyclic feedback system of hormonal regulation, obtained from the classical Goodwin's oscillator by introducing an additional negative feedback. We establish global properties of this model and show, in particular, that the local instability of its unique equilibrium implies that almost all system's solution oscillate; furthermore, under additional restrictions these solutions converge to periodic or homoclinic orbits.

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Synchronization dynamics of chemically coupled cells with activator–inhibitor pathways

Cited by 12 publications

References 43 publications

Programming DNA‐Based Systems through Effective Molarity Enforced by Biomolecular Confinement

Programming DNA‐Based Systems through Effective Molarity Enforced by Biomolecular Confinement

Ratcheting and energetic aspects of synchronization in coupled bursting neurons

Local and global analysis of endocrine regulation as a non-cyclic feedback system

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