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Keywords = chemo-repulsion system

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17 pages, 363 KiB  
Article
Control Problem Related to a 2D Parabolic–Elliptic Chemo-Repulsion System with Nonlinear Production
by Exequiel Mallea-Zepeda and Luis Medina
Symmetry 2023, 15(10), 1949; https://doi.org/10.3390/sym15101949 - 21 Oct 2023
Viewed by 1209
Abstract
In this work, we analyze a bilinear optimal control problem related to a 2D parabolic–elliptic chemo-repulsion system with a nonlinear chemical signal production term. We prove the existence of global optimal solutions with bilinear control, and applying a generic result on the existence [...] Read more.
In this work, we analyze a bilinear optimal control problem related to a 2D parabolic–elliptic chemo-repulsion system with a nonlinear chemical signal production term. We prove the existence of global optimal solutions with bilinear control, and applying a generic result on the existence of Lagrange multipliers in Banach spaces, we obtain first-order necessary optimality conditions and derive an optimality system for a local optimal solution. Full article
(This article belongs to the Special Issue Optimal Control and Symmetry)
24 pages, 7340 KiB  
Review
Netrin-1: A Modulator of Macrophage Driven Acute and Chronic Inflammation
by Laura Ziegon and Martin Schlegel
Int. J. Mol. Sci. 2022, 23(1), 275; https://doi.org/10.3390/ijms23010275 - 27 Dec 2021
Cited by 30 | Viewed by 6836
Abstract
Netrins belong to the family of laminin-like secreted proteins, which guide axonal migration and neuronal growth in the developing central nervous system. Over the last 20 years, it has been established that netrin-1 acts as a chemoattractive or chemorepulsive cue in diverse biological [...] Read more.
Netrins belong to the family of laminin-like secreted proteins, which guide axonal migration and neuronal growth in the developing central nervous system. Over the last 20 years, it has been established that netrin-1 acts as a chemoattractive or chemorepulsive cue in diverse biological processes far beyond neuronal development. Netrin-1 has been shown to play a central role in cell adhesion, cell migration, proliferation, and cell survival in neuronal and non-neuronal tissue. In this context, netrin-1 was found to orchestrate organogenesis, angiogenesis, tumorigenesis, and inflammation. In inflammation, as in neuronal development, netrin-1 plays a dichotomous role directing the migration of leukocytes, especially monocytes in the inflamed tissue. Monocyte-derived macrophages have long been known for a similar dual role in inflammation. In response to pathogen-induced acute injury, monocytes are rapidly recruited to damaged tissue as the first line of immune defense to phagocyte pathogens, present antigens to initiate the adaptive immune response, and promote wound healing in the resolution phase. On the other hand, dysregulated macrophages with impaired phagocytosis and egress capacity accumulate in chronic inflammation sites and foster the maintenance—and even the progression—of chronic inflammation. In this review article, we will highlight the dichotomous roles of netrin-1 and its impact on acute and chronic inflammation. Full article
(This article belongs to the Special Issue Role of Neuronal Guidance Cues in Inflammation and Vascular Biology)
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