Mathematical Modeling of Human Glioma Growth Based on Brain Topological Structures: Study of Two Clinical Cases

Gliomas are the most common primary brain tumors and yet almost incurable due mainly to their great invasion capability. This represents a challenge to present clinical oncology. Here, we introduce a mathematical model aiming to improve tumor spreading capability definition. The model consists in a time dependent reaction-diffusion equation in a three-dimensional spatial domain that distinguishes between different brain topological structures. The model uses a series of digitized images from brain slices covering the whole human brain. The Talairach atlas included in the model describes brain structures at different levels. Also, the inclusion of the Brodmann areas allows prediction of the brain functions affected during tumor evolution and the estimation of correlated symptoms. The model is solved numerically using patient-specific parametrization and finite differences. Simulations consider an initial state with cellular proliferation alone (benign tumor), and an advanced state when infiltration starts (malign tumor). Survival time is estimated on the basis of tumor size and location. The model is used to predict tumor evolution in two clinical cases. In the first case, predictions show that real infiltrative areas are underestimated by current diagnostic imaging. In the second case, tumor spreading predictions were shown to be more accurate than those derived from previous models in the literature. Our results suggest that the inclusion of differential migration in glioma growth models constitutes another step towards a better prediction of tumor infiltration at the moment of surgical or radiosurgical target definition. Also, the addition of physiological/psychological considerations to classical anatomical models will provide a better and integral understanding of the patient disease at the moment of deciding therapeutic options, taking into account not only survival but also life quality

Homeostatic regulation of the endoneurial microenvironment during development, aging and in response to trauma, disease and toxic insult

The endoneurial microenvironment, delimited by the endothelium of endoneurial vessels and a multi-layered ensheathing perineurium, is a specialized milieu intérieur within which axons, associated Schwann cells and other resident cells of peripheral nerves function. The endothelium and perineurium restricts as well as regulates exchange of material between the endoneurial microenvironment and the surrounding extracellular space and thus is more appropriately described as a blood–nerve interface (BNI) rather than a blood–nerve barrier (BNB). Input to and output from the endoneurial microenvironment occurs via blood–nerve exchange and convective endoneurial fluid flow driven by a proximo-distal hydrostatic pressure gradient. The independent regulation of the endothelial and perineurial components of the BNI during development, aging and in response to trauma is consistent with homeostatic regulation of the endoneurial microenvironment. Pathophysiological alterations of the endoneurium in experimental allergic neuritis (EAN), and diabetic and lead neuropathy are considered to be perturbations of endoneurial homeostasis. The interactions of Schwann cells, axons, macrophages, and mast cells via cell–cell and cell–matrix signaling regulate the permeability of this interface. A greater knowledge of the dynamic nature of tight junctions and the factors that induce and/or modulate these key elements of the BNI will increase our understanding of peripheral nerve disorders as well as stimulate the development of therapeutic strategies to treat these disorders

Analysis of the interleukin-1 and interleukin-6 polymorphisms in patients with chronic periodontitis. A pilot study

The aim of this study was to analyse whether the interleukin-1 (IL-1) and IL-6 gene polymorphisms were associated with the susceptibility of chronic periodontitis. Genomic DNA was obtained from 20 patients with chronic periodontitis and 31 periodontally healthy subjects. All subjects were of North European heritage. The test subjects were kept in a maintenance program after periodontal treatment but yet showing signs of recurrent disease. Genotyping of the IL-1 alpha[+4845C>T], IL-1 beta [-3954C>T] and IL-6 [-174G>C] polymorphisms was carried out using an allelic discrimination Assay-by-Design method on ABI PRISM 7900 Sequence Detection System. All genotypes were analyzed using the GeneMapper 2.0 software. A similar distribution of Single Nucleotide Polymorphism (SNP) was seen in both groups. Analysis by logistic regression including gender, IL-1 alpha [+4845C>T], IL-1 beta [-3954C>T], IL-6 [-174G>C] genotypes, the composite IL-1 genotype, the combination of the composite IL-1 genotype and the IL-6 -174G>C genotype and adjusting for smoking did not result in any statistically significant difference. SNPs in IL-1 alpha[+4845C>T], IL-1 beta [-3954C>T] and IL-6 [-174G>C] do not seem to increase the susceptibility to chronic periodontitis in this group of subjects