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.

Added Value of Spectroscopy to Perfusion MRI in the Differential Diagnostic Performance of Common Malignant Brain Tumors.

BACKGROUND AND PURPOSE: Perfusion and spectroscopic MR imaging provide noninvasive physiologic and metabolic characterization of tissues, which can help in differentiating brain tumors. We investigated the diagnostic role of perfusion and spectroscopic MR imaging using individual and combined classifiers of these modalities and assessed the added performance value that spectroscopy can provide to perfusion using optimal combined classifiers that have the highest differential diagnostic performance to discriminate lymphomas, glioblastomas, and metastases. MATERIALS AND METHODS: From January 2013 to January 2016, fifty-five consecutive patients with histopathologically proved lymphomas, glioblastomas, and metastases were included after undergoing MR imaging. The perfusion parameters (maximum relative CBV, maximum percentage of signal intensity recovery) and spectroscopic concentration ratios (lactate/Cr, Cho/NAA, Cho/Cr, and lipids/Cr) were analyzed individually and in optimal combinations. Differences among tumor groups, differential diagnostic performance, and differences in discriminatory performance of models with quantification of the added performance value of spectroscopy to perfusion were tested using 1-way ANOVA models, receiver operating characteristic analysis, and comparisons between receiver operating characteristic analysis curves using a bivariate χ2, respectively. RESULTS: The highest differential diagnostic performance was obtained with the following combined classifiers: maximum percentage of signal intensity recovery-Cho/NAA to discriminate lymphomas from glioblastomas and metastases, significantly increasing the sensitivity from 82.1% to 95.7%; relative CBV-Cho/NAA to discriminate glioblastomas from lymphomas and metastases, significantly increasing the specificity from 92.7% to 100%; and maximum percentage of signal intensity recovery-lactate/Cr and maximum percentage of signal intensity recovery-Cho/Cr to discriminate metastases from lymphomas and glioblastomas, significantly increasing the specificity from 83.3% to 97.0% and 100%, respectively. CONCLUSIONS: Spectroscopy yielded an added performance value to perfusion using optimal combined classifiers of these modalities, significantly increasing the differential diagnostic performances for these common brain tumors.

Low-grade gliomas: the challenges of imaging.

WHO grade II gliomas are a major challenge for magnetic resonance imaging (MRI) due to their delayed anaplastic transformation. Today it is possible to individually characterize tumor progression from diagnosis to anaplastic transformation based on the many parameters identified in studies in the literature and the possibility of integrating these data into mathematical models. Early identification of negative morphological and metabolic factors, as well as treatment follow-up, help identify predictive factors of tumor progression, as well as determine treatment response to adapt management of this disease.

Revisiting the spectrum of lower motor neuron diseases with snake eyes appearance on magnetic resonance imaging.

BACKGROUND AND PURPOSE: The 'snake eyes' sign refers to bilateral hyperintensities of the anterior horns on axial spinal cord imaging. Based on sporadic reports, it has been associated with a range of lower motor neuron (LMN) syndromes, such as spondylotic amyotrophy and Hirayama disease, as well as spinal cord infarction. The objective of our study was to comprehensively characterize the full diagnostic spectrum of LMN syndromes with this radiological clue and discuss potential aetiological factors. METHODS: A large patient cohort with snake eyes sign and upper limb LMN degeneration was recruited from three French neuromuscular units. Patients underwent detailed electrophysiological, radiological, clinical and anamnestic profiling. RESULTS: Twenty-nine patients were ascertained and followed up for 9.5 ± 8.6 years. The majority of the patients were male (86.2%) with a mean age of 37.3 ± 14.4 years. Symptoms were bilateral in most cases (86.2%). Patients with predominantly proximal and distal deficits were equally represented (44.8% and 55.2%, respectively). A history of preceding trauma or intense physical activity was confirmed in 58.6% of the cases; 27.6% of the patients were given an initial clinical diagnosis of amyotrophic lateral sclerosis (ALS), and 51.7% were originally suspected to have multifocal motor neuropathy. None of the patients developed ALS on longitudinal follow-up. CONCLUSION: The snake eyes sign on magnetic resonance imaging is associated with a wide spectrum of neurological conditions and is more common in young men with a history of strenuous activity or antecedent trauma. The recognition of this syndrome is crucial as many of these patients are initially misdiagnosed with ALS.

Mathematical modeling of metabolism and hemodynamics.

We provide a mathematical study of a model of energy metabolism and hemodynamics of glioma allowing a better understanding of metabolic modifications leading to anaplastic transformation from low grade glioma. This mathematical analysis allows ultimately to unveil the solution to a viability problem which seems quite pertinent for applications to medecine.

[Multimodal magnetic resonance imaging of brain tumors]. / Imagerie multimodale par résonance magnétique des tumeurs cérébrales.

Magnetic resonance imaging arose as a reference for diagnosis, pre-therapeutic and follow-up of brain tumors. Among parameters obtained from standard MRI (of low specificity), only volumetric growth allows prognostic information. The multiple "advanced" sequences have leaded to increase both sensitivity and specificity of brain MRI. Yet, perfusion-weighted imaging and spectroscopy provide metabolic information, and diffusion tensor imaging and cortical activation provide functional information. Characterization, grading, therapeutic management and follow-up have improved, with prognostic information.

[Delineation of glioblastoma, simplicity to complexity, the contribution of imaging]. / Délinéation des glioblastomes : simplicité de la complexité, apport de l'imagerie.

Delineation of glioblastoma is complex. Volumes conventionally defined: gross tumour volume (GTV) and clinical target volume (CTV) overlap and are separated according to imagery used. A review of these provides insight into the problem. If the correlations between imaging abnormalities and pathology seem to be relevant, the impact of their use in terms of local control and survival remains to be demonstrated.

Predicting the outcome of grade II glioma treated with temozolomide using proton magnetic resonance spectroscopy.

BACKGROUND: This study was designed to evaluate proton magnetic resonance spectroscopy ((1)H-MRS) for monitoring the WHO grade II glioma (low-grade glioma (LGG)) treated with temozolomide (TMZ). METHODS: This prospective study included adult patients with progressive LGG that was confirmed by magnetic resonance imaging (MRI). Temozolomide was administered at every 28 days. Response to TMZ was evaluated by monthly MRI examinations that included MRI with volumetric calculations and (1)H-MRS for assessing Cho/Cr and Cho/NAA ratios. Univariate, multivariate and receiver-operating characteristic statistical analyses were performed on the results. RESULTS: A total of 21 LGGs from 31 patients were included in the study, and followed for at least n=14 months during treatment. A total of 18 (86%) patients experienced a decrease in tumour volume with a greater decrease of metabolic ratios. Subsequently, five (28%) of these tumours resumed growth despite the continuation of TMZ administration with an earlier increase of metabolic ratios of 2 months. Three (14%) patients did not show any volume or metabolic change. The evolutions of the metabolic ratios, mean(Cho/Cr)(n) and mean(Cho/NAA)(n), were significantly correlated over time (Spearman ρ=+0.95) and followed a logarithmic regression (P>0.001). The evolutions over time of metabolic ratios, mean(Cho/Cr)(n) and mean(Cho/NAA)(n), were significantly correlated with the evolution of the mean relative decrease of tumour volume, mean(ΔV(n)/V(o)), according to a linear regression (P<0.001) in the 'response/no relapse' patient group, and with the evolution of the mean tumour volume (meanV(n)), according to an exponential regression (P<0.001) in the 'response/relapse' patient group. The mean relative decrease of metabolic ratio, mean(Δ(Cho/Cr)(n)/(Cho/Cr)(o)), at n=3 months was predictive of tumour response over the 14 months of follow-up. The mean relative change between metabolic ratios, mean((Cho/NAA)(n)-(Cho/Cr)(n))/(Cho/NAA)(n), at n=4 months was predictive of tumour relapse with a significant cutoff of 0.046, a sensitivity of 60% and a specificity of 100% (P=0.004). CONCLUSIONS: The (1)H-MRS profile changes more widely and rapidly than tumour volume during the response and relapse phases, and represents an early predictive factor of outcome over 14 months of follow-up. Thus, (1)H-MRS may be a promising, non-invasive tool for predicting and monitoring the clinical response to TMZ.

[Medulloblastomas: review]. / Les médulloblastomes: revue générale.

INTRODUCTION: The term of "medulloblastoma" refers to cerebellar tumors belonging to the family of primitive neuro-ectodermic tumors (PNET). Medulloblastomas represent 40% of cerebellar tumors, 15 to 20% of brain tumors and the first cause of malignant brain tumors in childhood. Seventy to 80% of cases are diagnosed in children versus 20 to 30% in adults. UPDATED KNOWLEDGE: Diagnosis is based on clinical and radiological exams, and proved on pathological analysis in association with molecular biology. Treatment comprises surgery, craniospinal radiotherapy except for children under five years of age and chemotherapy according to age and high-risk criteria. Medulloblastoma is a rare case of a central nervous system tumor which is radio- and chemo-sensitive. Treatment goals are, on one hand, to improve the survival rates and, on the other hand, to avoid late neurocognitive, neuroendocrine and orthopedic side effects related to radiation therapy, notably in children. The prognosis is relatively good, with a five year survival rate over 75% after complete resection of a localized tumor although sequelae may still compromise outcome. PERSPECTIVES AND CONCLUSION: Management of patients with medulloblastoma implies a multidisciplinary approach combining the contributions of neurosurgery, neuroradiology, pediatric oncology, neuro-oncology and radiotherapy teams.

IDH1 or IDH2 mutations predict longer survival and response to temozolomide in low-grade gliomas.

OBJECTIVES: Recent studies have shown that IDH1 and IDH2 mutations occur frequently in gliomas, including low-grade gliomas. However, their impact on the prognosis and chemosensitivity of low-grade gliomas remains unclear. METHODS: Search for IDH1 and IDH2 mutations, loss of heterozygosity on chromosomes 1p and 19q, MGMT promoter methylation, and p53 expression was performed in a series of 271 low-grade gliomas and correlated with overall survival. A subgroup of 84 patients treated up-front with temozolomide was individualized. Response to temozolomide was evaluated by progression-free survival, as well as by tumor size on successive MRI scans, and then correlated with molecular alterations. RESULTS: IDH (IDH1 or IDH2) mutations were found in 132/189 patients (70%). IDH mutation and 1p-19q codeletion were associated with prolonged overall survival in univariate (p = 0.002 and p = 0.0001) and multivariate analysis (p = 0.003 and p = 0.004). 1p-19q codeletion, MGMT promoter methylation, and IDH mutation (p = 0.01) were correlated with a higher rate of response to temozolomide. Further analysis of the course of the disease prior to any treatment except for surgery (untreated subgroup) showed that 1p-19q codeletion was associated with prolonged progression-free survival in univariate analysis, whereas IDH mutation was not. CONCLUSION: IDH mutation appears to be a significant marker of positive prognosis and chemosensitivity in low-grade gliomas, independently of 1p-19q codeletion, whereas its impact on the course of untreated tumors seems to be limited.

[Phosphorus magnetic resonance spectroscopy: Brain pathologies applications]. / Spectroscopie du phosphore 31 par résonance magnétique : applications en pathologies cérébrales.

Until recent years, brain applications of (31)P magnetic resonance spectroscopy were poor. Arising of clinical high field strength magnets (three Tesla) as well as dedicated brain coils (eg: bird cage), using specific and useful sequences providing appropriate spatial localisation and signal to noise ratio brought highlights on multinuclear spectroscopy. Better understanding of brain metabolism emphasizes the role of phosphoenergetic compounds and its potential issues in tumoral, metabolic and degenerative diseases. In the present paper, we report 1 year of experience and preliminary results for 40 patients as well as review of the literature. By successive in vivo determination and quantitation of numerous metabolites it allows, multinuclear spectroscopy may provide additional information to biomathematical models of brain metabolism.

[Bing-Neel syndrome revealing Waldenström's macroglobulinemia]. / Syndrome de Bing-Neel révélateur d'une maladie de Waldenström : étude d'un cas et revue de la littérature.

INTRODUCTION: The most frequent neurological complication of Waldenström's macroglobulinemia is IgM-mediated polyneuropathy. Direct tumor cell infiltration of the nervous system is very rare and better known as the "Bing and Neel syndrome". This syndrome relates usually to a meningeal or meningo-myelo-cerebral tumor infiltration. OBSERVATION: A 54-year-old man developed a terminal cauda equina syndrome over several years. MRI disclosed lumbar roots infiltration and lumbar puncture the presence of lymphocytic meningitis with intrathecal synthesis of monoclonal IgM identical to that found in the blood. The bone biopsy revealed a lymphoplasmocytic infiltration consistent with the diagnosis of Waldenström's macroglobulinemia. The final diagnosis was meningeal and lumbar roots infiltration revealing Waldenström's macroglobulinemia. Partial remission was obtained after polychemotherapy with CHOP, rituximab and methotrexate. At the end of the treatment, the patient improved his bladder's control and was able to walk with a stick. DISCUSSION: We reviewed the 35 cases of "Bing and Neel syndrome" we have identified by a PubMed research. The present case report is original by the initial neurological presentation of the disease three years before diagnosis and the successful use of rituximab in the polychemotherapy regimen.

Supratentorial low-grade gliomas in older patients.

BACKGROUND: Low-grade gliomas (LGG) are thought to be very rare in elderly patients (>60 years) and have not been thoroughly studied. METHODS: A series of 62 elderly (>or=60 years of age) LGG patients were identified in a department database collecting information on pathologically identified adult supratentorial LGG. The clinical, radiologic, pathologic, and therapeutic data of these patients were analyzed and compared to those of 704 younger LGG patients (<60 years). RESULTS: Comparisons between older and younger groups showed that elderly patients more often presented with a clinical deficit (p < 0.0001), a lower Karnofsky performance status (p = 0.0002), a larger tumor on MRI (p = 0.03), and a lower rate of tumor resection (p < 0.0001). Chemotherapy was more often used as first line treatment (p = 0.001). Among the patients who died of progressive disease, 55% of the elderly patients had not received radiotherapy compared to 11% in the younger group (p < 0.0001). Survival was shorter in older patients (p < 0.0001), with a 5-year survival rate of 40%. An astrocytic phenotype (p = 0.0097), increasing age (p = 0.0049), and a tumor crossing the midline (p = 0.028) were negative prognostic factors in the older group. CONCLUSION: We found that 8% of low-grade gliomas (LGG) occur in older patients (>or=60 years of age). The clinical-radiologic picture of LGG in the elderly population differs from younger patients. Although long-term survival occurs, the course is generally more severe because elderly patients accumulate negative prognostic factors and because they are probably undertreated.

Gray matter involvement predicts chemosensitivity and prognosis in gliomatosis cerebri.

BACKGROUND: In gliomatosis cerebri (GC), defined as a diffuse neoplastic glial cell infiltration of the brain, upfront chemotherapy is often proposed as an alternative to radiotherapy. GC invades both white matter and gray matter in varying proportions, as reflected by the gray matter index (GMI), i.e., the estimated percentage of gray matter involvement. METHODS: The GMI was estimated in 71 patients with GC (42 men and 29 women; median age, 47 years) treated with upfront chemotherapy (7 PCV, 64 temozolomide). RESULTS: Median GMI was 30%. Patients were separated into 2 groups according to this median GMI. Compared to the 33 patients with GMI >30% (group B), the 38 patients from group A (defined as GMI

Bevacizumab and irinotecan for recurrent oligodendroglial tumors.

BACKGROUND: Treatment with a regimen of bevacizumab-irinotecan has been shown to be effective in recurrent grade 3 and 4 gliomas, but the effect of this regimen against recurrent oligodendroglial tumors has not been specifically studied. METHODS: The bevacizumab-irinotecan regimen was retrospectively evaluated in a consecutive series of 25 patients with recurrent oligodendroglial tumors. All patients had not responded to previous treatment with radiation therapy and at least one line of temozolomide chemotherapy. Bevacizumab (10 mg/kg) and irinotecan (125 or 340 mg/m(2) according to the antiepileptic regimen) were administered every 14 days. Response was measured clinically and on monthly MRI. RESULTS: The objective response rate was 72% (20% complete response, 52% partial response). After a median follow up of 202 days, the median progression-free survival was 140 days (95% confidence interval [CI] 116-infinity), and overall survival had not been reached. The 6-month progression-free survival was 42% (95% CI 26%-67%). Among the 17 patients in whom the status of the main molecular alterations of gliomas could be evaluated (search for deletions of chromosomes 1p, 19q, 9p, and 10q and amplification of epidermal growth factor receptor, mouse double-minute gene, and cyclin-dependent kinase 4 gene), no relation could be found between the response rate and the type of genetic change (including 1p-19q codeletion). The profile of tolerance was fair, with treatment discontinuation in 20% of patients. Intratumoral hemorrhages occurred in 6 patients (24%), but the treatment had to be discontinued because of symptomatic bleeding in only 1 patient (4%). CONCLUSIONS: This regimen is effective in recurrent oligodendrogliomas, and the overall tolerance is acceptable.

[Imaging of gliomas]. / Imagerie des gliomes.

The imaging of gliomas, as well as diffuse infiltrative gliomas or as more recently individualized entities, has been profoundly modified these last years. Correlated with the classic morphological MRI, numerous new sequences have appeared that allowed a more metabolic approach of the tumors, such as diffusion, perfusion--related to angiogenesis--and spectroscopy--reflecting metabolic data. Their development in daily practice allows to precise the diagnostic, to definite the more active areas (correlated with the hyperperfused or more metabolic active areas in relation with the Ki67 index) and so optimize the biopsy and/or evaluate the evolution of the lesion. When associated, they allow also and perhaps especially to precise the diagnostic, particularly with other tumoral masses such as lymphomas or metastases that can present misleading patterns, but also with other more benign lesions such as abcesses. Always critically analysed, and reevaluated along the time if necessary, they can sometimes help the histological diagnosis, but never can be used in place of it.

[Biochemical exploration of energetic metabolism and oxidative stress in low grade gliomas: central and peripheral tumor tissue analysis]. / Exploration biochimique du métabolisme énergétique et du stress oxydant des gliomes de bas grade: analyse du tissu tumoral central et périphérique.

Gliomas represent 50% of primary brain tumors, and their prognosis remains poor despite the advances in diagnosis and therapeutic strategies. Low grade gliomas (LGG) are infiltrative tumors and they constantly undergo malignant transformation. Metabolic exploration of human gliomas in vivo, in animals and by using cell culture models showed important differences between tumor tissues and normal brain tissues, which can provide new markers for diagnosis, prognosis and therapeutic targets. In this study, energetic and oxidant metabolisms were explored in biopsy extracts of LGG obtained from the centre and the periphery of tumors. Metabolic pattern of these tumors was explored and the differences between the centre and the periphery pointed. Our study showed a metabolic heterogeneity between tumors, with hypermetabolic and hypometabolic profiles. Lactate to pyruvate ratio was>1, suggesting that the energy metabolism in LGG is glycolytic in nature, particularly in the centre of the tumors. Peripheral samples of tumors showed increased glucose consumption and cytochrome c oxidase activity. Lipid peroxidation and catalase activity were also increased in the periphery compared to the centre of tumors. A relationship between the main antioxidant and energy metabolism enzymes activities was observed, suggesting that periphery of tumors is more active metabolically and more resistant to free radical injury.