Mathematical Analysis of Membrane Transporters Dynamics: A Calcium Fluxes Case Study.

A tight control of intracellular [Ca[Formula: see text]] is essential for the survival and normal function of cells. In this study we investigate key mechanistic steps by which calcium is regulated and calcium oscillations could occur using in silico modeling of membrane transporters. To do so we give a deterministic description of intracellular Ca[Formula: see text] dynamics using nonlinear dynamics in order to understand Ca[Formula: see text] signaling. We first present the ordinary differential equations (ODEs) system for cell calcium kinetics and make a preliminary work on Sobol indices. We then describe and analyze complex transporters action. Besides, we analyze the whole system. We finally perform numerical simulations and compare our results to real data.

Using mathematics in MRI data management for glioma assesment.

Our aim is to review the mathematical tools usefulness in MR data management for glioma diagnosis and treatment optimization. MRI does not give access to organs variations in hours or days. However a lot of multiparametric data are generated. Mathematics could help to override this paradox, the aim of this article is to show how. We first make a review on mathematical modelling using equations. Afterwards we present statistical analysis. We provide detailed examples in both sections. We finally conclude, giving some clues on in silico models.

Analysis of a Mathematical Model for the Glutamate/Glutamine Cycle in the Brain.

Our aim in this article is to study the well-posedness and properties of a system with delay which is related with brain glutamate and glutamine kinetics. In particular, we prove the existence and uniqueness of nonnegative solutions. We also give numerical simulations and compare their order of magnitude with experimental data.

Differential adipose tissue inflammatory state in obese nondiabetic Zucker fatty rats compared to obese diabetic zucker diabetic fatty rats.

Adipose tissue (AT) inflammation is linked to the pathogenesis of diabetes in obesity. Here, we compare the AT inflammatory state of 2 animal models of obesity and obesity plus diabetes, respectively. Obese nondiabetic ZF rats exhibited a trend towards increased proportions of CD11b positive cells in the adipose tissue stroma vascular fraction suggesting a state of increased AT inflammation compared to their lean littermates, but no alterations in systemic inflammatory parameters. In contrast, obese diabetic ZDF rats exhibited systemic as well as local AT inflammation with elevated levels of circulating Regulated upon Activation, Normal T-cell Expressed and Secreted Protein (Rantes), interleukin 1ß (IL-1ß) and monocyte chemotactic protein 1 (MCP-1), and an increased infiltration of adipose tissue CD11b positive cells. Our data provide a novel phenotypic characterisation of 2 common metabolic animal models and suggest an association of obesity with local inflammation in adipose tissue, and an association of diabetes with local inflammation in adipose tissue plus systemic inflammation. AT inflammation in obesity might therefore initiate a process that above a certain limits finally results in systemic inflammation and diabetes.

Remodeling phenotype of human subcutaneous adipose tissue macrophages.

BACKGROUND: Adipose tissue macrophages (ATMs) have become a focus of attention recently because they have been shown to accumulate with an increase in fat mass and to be involved in the genesis of insulin resistance in obese mice. However, the phenotype and functions of human ATMs are still to be defined. METHODS AND RESULTS: The present study, performed on human subcutaneous AT, showed that ATMs from lean to overweight individuals are composed of distinct macrophage subsets based on the expression of several cell surface markers: CD45, CD14, CD31, CD44, HLA-DR, CD206, and CD16, as assessed by flow cytometry. ATMs isolated by an immunoselection protocol showed a mixed expression of proinflammatory (tumor necrosis factor-alpha, interleukin-6 [IL-6], IL-23, monocyte chemoattractant protein-1, IL-8, cyclooxygenase-2) and antiinflammatory (IL-10, transforming growth factor-beta, alternative macrophage activation-associated cc chemokine-1, cyclooxygenase-1) factors. Fat mass enlargement is associated with accumulation of the CD206+/CD16- macrophage subset that exhibits an M2 remodeling phenotype characterized by decreased expression of proinflammatory IL-8 and cyclooxygenase-2 and increased expression of lymphatic vessel endothelial hyaluronan receptor-1. ATMs specifically produced and released matrix metalloproteinase-9 compared with adipocytes and capillary endothelial cells, and secretion of matrix metalloproteinase-9 from human AT in vivo, assessed by arteriovenous difference measurement, was correlated with body mass index. Finally, ATMs exerted a marked proangiogenic effect on AT-derived endothelial and progenitor cells. CONCLUSIONS: The present results showed that the ATMs that accumulate with fat mass development exhibit a particular M2 remodeling phenotype. ATMs may be active players in the process of AT development through the extension of the capillary network and in the genesis of obesity-associated cardiovascular pathologies.

The role of endothelial cells in inflamed adipose tissue.

In recent years, the general concept has emerged that chronic low-grade inflammation can be the condition linking excessive development of adipose tissue (AT) and obesity-associated pathologies such as type II diabetes and atherosclerosis. Moreover, the evidence that the growth of the fat mass was associated with an accumulation of adipose tissue macrophages (ATM) has raised the hypothesis that the development of an inflammatory process within the growing fat mass is a primary event involved in the genesis of systemic metabolic and vascular alterations. As ATM originate from the bone marrow/blood compartment, enhanced macrophage recruitment to growing AT is suspected. However, the mechanisms responsible for attracting the blood cells and their entry into the fat mass remain to be clearly defined. The present review highlights the key role of endothelial cells in the control of the inflammatory process and describes the potential involvement of AT-endothelial cells as well as the factors involved in the regulation of their phenotype in the 'inflamed fat tissue'.

Macrophages in human visceral adipose tissue: increased accumulation in obesity and a source of resistin and visfatin.

AIMS/HYPOTHESIS: Increased visceral white adipose tissue (WAT) is linked to the risk of developing diabetes. METHODS/RESULTS: We showed by fluorescence activated cell sorting analysis that human visceral WAT contains macrophages, the proportion of which increased with obesity. Selective isolation of mature adipocytes and macrophages from human visceral WAT by CD14 immunoselection revealed that macrophages expressed higher levels of chemokines (monocyte chemotactic protein 1, macrophage inflammatory protein 1alpha, IL-8) and the adipokines resistin and visfatin than did mature adipocytes, as assessed by real-time PCR analysis. Moreover, resistin and visfatin proteins were found to be released predominantly by visceral WAT macrophages. Macrophage-derived secretory products stimulated phosphorylation of protein kinase B in human hepatocytes. CONCLUSIONS/INTERPRETATION: Resistin and visfatin might be considered to be proinflammatory markers. The increased macrophage population in obese human visceral WAT might be responsible for the enhanced production of chemokines as well as resistin and visfatin.

Improvement of postnatal neovascularization by human adipose tissue-derived stem cells.

BACKGROUND: Several studies have suggested that stem cells are present in the stroma-vascular fraction (SVF) of adipose tissue (AT). METHODS AND RESULTS: To characterize the cell populations that compose the SVF of human AT originating from subcutaneous and visceral depots, fluorescence-activated cell sorter analysis was performed by use of fluorescent antibodies directed against the endothelial and stem cell markers CD31, CD34, CD133, and ABCG2. The freshly harvested SVF contained large numbers of CD34+ cells as well as cells expressing CD133 and ABCG2. Further analysis of the CD34+ cells revealed 2 CD34+ cell populations with differential expression of the endothelial cell marker CD31. Selection of the CD34+/CD31- cells by use of magnetic microbeads, followed by cell culture, demonstrated that this cell population could differentiate under appropriate conditions into endothelial cells. Moreover, in mouse ischemic hindlimb, intravenous injection of CD34(+)/CD31(-) cells was associated with an increase in the blood flow and the capillary density and an incorporation of the cells in the leg vasculature. CONCLUSIONS: Our data indicate the presence of a cell population within the SVF of human AT characterized as CD34+/CD31- exhibiting characteristics of endothelial progenitor cells. Therefore, human AT might represent a source of stem/progenitor cells useful for cell therapy to improve vasculogenesis in adults.