Year: 2024
Type: article
Abstract: We present a novel approach to modeling receptor-activated signaling pathways that take into account the compartmentalization of receptors and their effectors, both on the cell surface and in dynamic intracellular vesicles called endosomes. The first building block of the model concerns compartment dynamics. It takes into account creation of de novo endosomes, i.e. endocytosis, and further recycling of endosomes to the cell surface or degradation, as well as fusion of endosomes via coagulation dynamics. The second building block concerns biochemical reactions on the cell surface and within intra-cellular compartments. Both building blocks are coupled by the transfer of molecules that occurs at each event that modifies the compartments. The model is formulated as a integro-partial differential equation, with transport and coagulation operators, and source terms, coupled to an integro-differential equation. In this work, we prove sufficient conditions to obtain exponential ergodicity for the size distribution of intracellular compartments. We further design a finite volume scheme to simulate our model. Finally, we show two application cases that show qualitative agreement with recently published data, proving that our model can help capture the spatio-temporal complexity of receptor-activated signaling pathway.
Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire de Mathématiques et Modélisation d'Évry, Université d'Évry Val-d'Essonne, Université de Tours, Universidad de Granada, Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement, Laboratoire Amiénois de Mathématique Fondamentale et Appliquée, Université de Picardie Jules Verne, Université Sorbonne Paris Nord, Laboratoire Analyse, Géométrie et Applications, Société de Mathématiques Appliquées et Industrielles, Lyon 1 Université, Institut national de recherche en sciences et technologies du numérique, Hospices Civils de Lyon, Laboratoire d'Informatique en Images et Systèmes d'Information, AISTROSIGHT: La pharmacologie des neurones et des astrocytes à l’aide des sciences du numérique, Institut National des Sciences Appliquées de Lyon, Centre Inria de Saclay
Language: English
Subfield: Cell Biology
Domain: Life Sciences
Open Access status: green
OpenAlex ID: W6903325725
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