On Lundh's percolation diffusion

A collection of spherical obstacles in the unit ball in Euclidean space is said to be avoidable for Brownian motion if there is a positive probability that Brownian motion diffusing from some point in the ball will avoid all the obstacles and reach the boundary of the ball. The centres of the spherical obstacles are generated according to a Poisson point process while the radius of an obstacle is a deterministic function. If avoidable configurations are generated with positive probability Lundh calls this percolation diffusion. An integral condition for percolation diffusion is derived in terms of the intensity of the point process and the function that determines the radii of the obstacles.

An introduction to model-independent diffusion magnetic resonance imaging.

ABSTRACT: q-Space-based techniques such as diffusion spectrum imaging, q-ball imaging, and their variations have been used extensively in research for their desired capability to delineate complex neuronal architectures such as multiple fiber crossings in each of the image voxels. The purpose of this article was to provide an introduction to the q-space formalism and the principles of basic q-space techniques together with the discussion on the advantages as well as challenges in translating these techniques into the clinical environment. A review of the currently used q-space-based protocols in clinical research is also provided.

On the function of proton-gated ion channels ASICs and TRPV1 : a patch-clamp study

AbstractAcidosis is encountered during tissue inflammation and triggers pain in humans. H+-gated ion channels are expressed at high levels in sensory neurons of the peripheral nervous system. Ion channels from two different families present the required pH sensitivity to detect the acidosis associated with peripheral inflammation: Acid-Sensing Ion Channels (ASICs) and the Transient Receptor Potential Vanilloid-1 (TRPV1) channel.ASICs are members of the Degenerin/Epithelial Na+ Channel family of ion channels. Six ASIC subunits have been identified in mammals (ASICla, -lb, -2a, -2b, -3 and -4). ASICs form In-activated voltage-insensitive homo- or heterotrimeric Na+ channels. TRPV1 is a member of the TRP family of ion channels and forms non-selective cation channels that mediate a sustained current. TRPV1 is activated by H+, heat (T>43°C), lipids, capsaicin, voltage and other stimuli. A stimulus can increase TRPV1 response to a different stimulus. For example H+ can shift the capsaicin concentration dependence of TRPV1 to lower values. ASICs and TRPV1 have been shown to be involved in inflammatory pain. Using the patch-clamp technique, we studied different aspects of the function of ASICs and TRPV1 in the physiological context of pain.In the first part of this thesis, we characterize the effect of a temperature increase from 25 to 35°C on the function of ASICs and TRPV1 in transfected CHO cells and primary cultures of rat DRG sensory neurons. ASICs give rise to transient currents while TRPV1 mediates a sustained current. In addition, ASICs and TRPV1 respond to H+ with distinct pH dependences. We assess the relative contribution of ASICs and TRPV1 to H+-evoked electrical signaling in rat DRG neurons and we conclude that ASICs are the most important pH sensors in the pH range 7.4 to 6.0 at 35°C in sensory neurons.ASICs and TRPV1 are expressed in the epithelium lining the lumen of the bladder (urothelium). The Bladder Pain Syndrome/Interstitial Cystitis (BPS/IC) is a painful condition associated with a dysfunction of the urothelial barrier and with inflammation. In the second part of this thesis, we show that human urothelial cells -the cell line TEU2 and primary cultures of human bladder urothelium- express functional ASICs but no functional TRPV1 channels. In addition, we show that the levels of ASIC2 and ASIC3 mRNA are increased in the urothelium of patients suffering from BPS/IC. These data suggest that ASICs are involved in the pathology of BPS/IC.Finally, we demonstrate that APETx2 inhibits the sensory neuron specific voltage-dependent Na+ channel Nav1.8. APETx2 was previously shown to inhibit homo- or heterotrimeric ASIC3- containing channels with IC5o from 0.08 to 1 μΜ. We show that APETx2 also inhibits Nav1.8 with an ICsoof «2.6 μΜ. APETx2 reduces the maximal conductance and induces a depolarizing shift in the voltage dependence of activation of Nav1.8. In current-clamp experiments, APETx2 reduces the number of action potentials (APs) evoked by a current ramp. Nav1.8 mediates most of the current during the AP upstroke and has been shown to be an important mediator of inflammatory pain. The fact that APETx2 inhibits two ion channels involved in inflammatory pain suggests that APETx2 or derivatives may represent novel analgesic compounds.RésuméL'acidose tissulaire est observée durant l'inflammation et entraine la douleur chez l'humain. Des canaux ioniques activés par les protons (H+) sont fortement exprimés dans les neurones sensoriels du système nerveux périphérique. De ceux-ci, les Acid-Sensing Ion Channels [ASICs) et Transient Receptor Potential Vanilloid-1 (TRPV1) présentent une sensibilité adéquate à l'acidité pour servir de détecteurs d'acidose.Les ASICs sont membres de la famille Degenerin/Epithelial Na* Channel. Six sous-unités ASIC ont été identifiées chez les mammifères (ASICla, -lb, -2a, -2b, -3 et -4). Les ASICs forment des canaux sélectifs au Na\ insensibles au voltage et activés par les H+. Les canaux fonctionnels sont des homo- ou hétérotrimères de sous-unités ASIC. TRPV1 est un membre de la famille TRP de canaux ioniques. Les canaux TRPV1 sont activés par les H+, la chaleur (T>43°Ç), les lipides, la capsaicine, le voltage et d'autres stimulus. L'activation de TRPV1 entraine un courant soutenu non-sélectif. Un stimulus peut augmenter la réponse de TRPV1 à un autre stimulus. Les H+ peuvent, par exemple, induire un décalage vers des valeurs plus faibles de la courbe de dépendance à la concentration de TRPV1 pour la capsaicine. Il a été démontré que les ASICs et TRPV1 sont impliqués dans la douleur inflammatoire. En utilisant la technique du patch-clamp, nous avons étudié différents aspects de la fonction des ASICs et de TRPV1 dans des contextes associés à la douleur.Dans la première partie de cette thèse, nous caractérisons l'effet d'une augmentation de température de 25 à 35°C sur la fonction des canaux ASICs et TRPV1, dans des cellules CHO transfectées et dans des cultures primaires de neurones sensoriels (DRG) de rat. L'activation des ASICs entraine l'apparition d'un courant transitoire tandis que l'activation de TRPV1 entraine un courant soutenu. De plus, les ASICs et TRPV1 possèdent des dépendances au pH différentes. Nous évaluons la contribution relative des ASICs et de TRPV1 au signalement électrique induit par les H+ et nous concluons que les ASICs sont les senseurs d'acidité les plus importants dans les neurones sensoriels, dans le domaine de pH de 7.4 à 6.0, à température corporelle.Les ASICs et TRPV1 sont exprimés dans l'épithélium recouvrant l'intérieur de la vessie (l'urothélium). Le Bladder Pain Syndrome/Interstitial Cystitis (BPS/IC) est une condition médicale douloureuse associée à une dysfonction de la barrière urothéliale et à une inflammation. Dans la seconde partie de cette thèse, nous démontrons que des cellules urothéliales (de la lignée cellulaire TEU2) et des cellules provenant de cultures primaires d'épithéliums de vessies humaines expriment des canaux ASIC fonctionnels mais pas de TRPV1 fonctionnels. De plus, nous montrons que le niveau d'expression de ASIC2 et -3 est augmenté dans l'urothélium de la vessie de patients souffrant de BPS/IC. Ces données suggèrent que les ASICs sont impliqués dans la pathologie BPS/IC.Pour finir, nous démontrons que la toxine APETx2 inhibe le canal spécifique aux neurones sensoriels Nav1.8, un membre de la famille des canaux sodiques dépendants du potentiel. Il a été démontré précédemment que la toxine APETx2 inhibe les canaux contenant une ou plusieurs sous-unités ASIC3 avec un ICso entre 0.08 et 1 μΜ. Nous montrons que la toxine APETx2 inhibe Nav1.8 avec un IC50 de «2.6 μΜ. La toxine APETx2 réduit la conductance maximale et induit un décalage de la dépendance au potentiel de Nav1.8 vers des valeurs plus positives. Dans des expériences de courant imposé sur des neurones sensoriels, la toxine APETx2 réduit le nombre de potentiels d'action induits par une rampe de courant. Nav1.8 est responsable de la majeure partie du courant durant la phase ascendante du potentiel d'action et a été démontré comme étant un médiateur important de la douleur inflammatoire. L'inhibition de deux types de canaux, impliqués dans la douleurs inflammatoire, par la toxine APETx2, suggère que cette dernière ou ses dérivés représentent des composés analgésiques prometteurs.

On Lundh's percolation diffusion

A collection of spherical obstacles in the unit ball in Euclidean space is said to be avoidable for Brownian motion if there is a positive probability that Brownian motion diffusing from some point in the ball will avoid all the obstacles and reach the boundary of the ball. The centres of the spherical obstacles are generated according to a Poisson point process while the radius of an obstacle is a deterministic function. If avoidable con gurations are generated with positive probability Lundh calls this percolation di usion. An integral condition for percolation di ffusion is derived in terms of the intensity of the point process and the function that determines the radii of the obstacles.

Preretinal partial pressure of oxygen gradients before and after experimental pars plana vitrectomy.

PURPOSE: To evaluate preretinal partial pressure of oxygen (PO2) gradients before and after experimental pars plana vitrectomy. METHODS: Arteriolar, venous, and intervascular preretinal PO2 gradients were recorded in 7 minipigs during slow withdrawal of oxygen-sensitive microelectrodes (10-μm tip diameter) from the vitreoretinal interface to 2 mm into the vitreous cavity. Recordings were repeated after pars plana vitrectomy and balanced salt solution (BSS) intraocular perfusion. RESULTS: Arteriolar, venous, and intervascular preretinal PO2 at the vitreoretinal interface were 62.3 ± 13.8, 22.5 ± 3.3, and 17.0 ± 7.5 mmHg, respectively, before vitrectomy; 97.7 ± 19.9, 40.0 ± 21.9, and 56.3 ± 28.4 mmHg, respectively, immediately after vitrectomy; and 59.0 ± 27.4, 25.2 ± 3.0, and 21.5 ± 4.5 mmHg, respectively, 2½ hours after interruption of BSS perfusion. PO2 2 mm from the vitreoretinal interface was 28.4 ± 3.6 mmHg before vitrectomy; 151.8 ± 4.5 mmHg immediately after vitrectomy; and 34.8 ± 4.1 mmHg 2½ hours after interruption of BSS perfusion. PO2 gradients were still present after vitrectomy, with the same patterns as before vitrectomy. CONCLUSION: Preretinal PO2 gradients are not eliminated after pars plana vitrectomy. During BSS perfusion, vitreous cavity PO2 is very high. Interruption of BSS perfusion evokes progressive equilibration of vitreous cavity PO2 with concomitant progressive return of preretinal PO2 gradients to their previtrectomy patterns. This indicates that preretinal diffusion of oxygen is not altered after vitrectomy. The beneficial effect of vitrectomy in ischemic retinal diseases or macular edema may be related to other mechanisms, such as increased oxygen convection currents or removal of growth factors and cytokines secreted in the vitreous.

Anti-basal ganglia antibodies and Tourette's syndrome: a voxel-based morphometry and diffusion tensor imaging study in an adult population.

Anti-basal ganglia antibodies (ABGAs) have been suggested to be a hallmark of autoimmunity in Gilles de la Tourette's syndrome (GTS), possibly related to prior exposure to streptococcal infection. In order to detect whether the presence of ABGAs was associated with subtle structural changes in GTS, whole-brain analysis using independent sets of T(1) and diffusion tensor imaging MRI-based methods were performed on 22 adults with GTS with (n = 9) and without (n = 13) detectable ABGAs in the serum. Voxel-based morphometry analysis failed to detect any significant difference in grey matter density between ABGA-positive and ABGA-negative groups in caudate nuclei, putamina, thalami and frontal lobes. These results suggest that ABGA synthesis is not related to structural changes in grey and white matter (detectable with these methods) within frontostriatal circuits.

Microautophagy of the nucleus coincides with a vacuolar diffusion barrier at nuclear-vacuolar junctions.

Nuclei bind yeast vacuoles via nucleus-vacuole (NV) junctions. Under nutrient restriction, NV junctions invaginate and release vesicles filled with nuclear material into vacuoles, resulting in piecemeal microautophagy of the nucleus (PMN). We show that the electrochemical gradient across the vacuolar membrane promotes invagination of NV junctions. Existing invaginations persist independently of the gradient, but final release of PMN vesicles requires again V-ATPase activity. We find that NV junctions form a diffusion barrier on the vacuolar membrane that excludes V-ATPase but is enriched in the VTC complex and accessible to other membrane-integral proteins. V-ATPase exclusion depends on the NV junction proteins Nvj1p,Vac8p, and the electrochemical gradient. It also depends on factors of lipid metabolism, such as the oxysterol binding protein Osh1p and the enoyl-CoA reductase Tsc13p, which are enriched in NV junctions, and on Lag1p and Fen1p. Our observations suggest that NV junctions form in two separable steps: Nvj1p and Vac8p suffice to establish contact between the two membranes. The electrochemical potential and lipid-modifying enzymes are needed to establish the vacuolar diffusion barrier, invaginate NV junctions, and form PMN vesicles.

Confirmation of functional zones within the human subthalamic nucleus: patterns of connectivity and sub-parcellation using diffusion weighted imaging.

The subthalamic nucleus (STN) is a small, glutamatergic nucleus situated in the diencephalon. A critical component of normal motor function, it has become a key target for deep brain stimulation in the treatment of Parkinson's disease. Animal studies have demonstrated the existence of three functional sub-zones but these have never been shown conclusively in humans. In this work, a data driven method with diffusion weighted imaging demonstrated that three distinct clusters exist within the human STN based on brain connectivity profiles. The STN was successfully sub-parcellated into these regions, demonstrating good correspondence with that described in the animal literature. The local connectivity of each sub-region supported the hypothesis of bilateral limbic, associative and motor regions occupying the anterior, mid and posterior portions of the nucleus respectively. This study is the first to achieve in-vivo, non-invasive anatomical parcellation of the human STN into three anatomical zones within normal diagnostic scan times, which has important future implications for deep brain stimulation surgery.

Acute Damage to the Posterior Limb of the Internal Capsule on Diffusion Tensor Tractography as an Early Imaging Predictor of Motor Outcome after Stroke

Background and Purpose Early prediction of motor outcome is of interest in stroke management. We aimed to determine whether lesion location at DTT is predictive of motor outcome after acute stroke and whether this information improves the predictive accuracy of the clinical scores. Methods We evaluated 60 consecutive patients within 12 hours of MCA stroke onset. We used DTT to evaluate CST involvement in the MC and PMC, CS, CR, and PLIC and in combinations of these regions at admission, at day 3, and at day 30. Severity of limb weakness was assessed using the m-NIHSS (5a, 5b, 6a, 6b). We calculated volumes of infarct and FA values in the CST of the pons. Results Acute damage to the PLIC was the best predictor associated with poor motor outcome, axonal damage, and clinical severity at admission (P&.001). There was no significant correlation between acute infarct volume and motor outcome at day 90 (P=.176, r=0.485). The sensitivity, specificity, and positive and negative predictive values of acute CST involvement at the level of the PLIC for 4 motor outcome at day 90 were 73.7%, 100%, 100%, and 89.1%, respectively. In the acute stage, DTT predicted motor outcome at day 90 better than the clinical scores (R2=75.50, F=80.09, P&.001). Conclusions In the acute setting, DTT is promising for stroke mapping to predict motor outcome. Acute CST damage at the level of the PLIC is a significant predictor of unfavorable motor outcome.

Aldosterone paradox: differential regulation of ion transport in distal nephron.

The mechanisms through which aldosterone promotes apparently opposite effects like salt reabsorption and K(+) secretion remain poorly understood. The identification, localization, and physiological analysis of ion transport systems in distal nephron have revealed an intricate network of interactions between several players, revealing the complex mechanism behind the aldosterone paradox. We review the mechanisms involved in differential regulation of ion transport that allow the fine tuning of salt and K(+) balance.

Messenger RNA expression of transporter and ion channel genes in undifferentiated and differentiated Caco-2 cells compared to human intestines.

PURPOSE: The purpose of this work was to study the influence of cell differentiation on the mRNA expression of transporters and channels in Caco-2 cells and to assess Caco-2 cells as a model for carrier-mediated drug transport in the intestines. METHOD: Gene mRNA expression was measured using a custom-designed microarray chip with 750 deoxyoligonucleotide probes (70mers). Each oligomer was printed four times on poly-lysine-coated glass slides. Expression profiles were expressed as ratio values between fluorescence intensities of Cy3 and Cy5 dye-labeled cDNA derived from poly(A) + RNA samples of Caco-2 cells and total RNA of human intestines. RESULTS: Significant differences in the mRNA expression profile of transporters and channels were observed upon differentiation of Caco-2 cells from 5 days to 2 weeks in culture, including changes for MAT8, S-protein, and Nramp2. Comparing Caco-2 cells of different passage number revealed few changes in mRNAs except for GLUT3, which was down-regulated 2.4-fold within 13 passage numbers. Caco-2 cells had a similar expression profile when either cultured in flasks or on filters but differed more strongly from human small and large intestine, regardless of the differentiation state of Caco-2 cells. Expression of several genes highly transcribed in small or large intestines differed fourfold or more in Caco-2 cells. CONCLUSIONS: Although Caco-2 cells have proven a suitable model for studying carrier-mediated transport in human intestines, the expression of specific transporter and ion channel genes may differ substantially.

Glutamatergic regulation of mitochondrial ion dynamics in astrocytes

Résumé grand public :Le cerveau se compose de cellules nerveuses appelées neurones et de cellules gliales dont font partie les astrocytes. Les neurones communiquent entre eux par signaux électriques et en libérant des molécules de signalisation comme le glutamate. Les astrocytes ont eux pour charge de capter le glucose depuis le sang circulant dans les vaisseaux sanguins, de le transformer et de le transmettre aux neurones pour qu'ils puissent l'utiliser comme source d'énergie. L'astrocyte peut ensuite utiliser ce glucose de deux façons différentes pour produire de l'énergie : la première s'opère dans des structures appelées mitochondries qui sont capables de produire plus de trente molécules riches en énergie (ATP) à partir d'une seule molécule de glucose ; la seconde possibilité appelée glycolyse peut produire deux molécules d'ATP et un dérivé du glucose appelé lactate. Une théorie couramment débattue propose que lorsque les astrocytes capturent le glutamate libéré par les neurones, ils libèrent en réponse du lactate qui servirait de base énergétique aux neurones. Cependant, ce mécanisme n'envisage pas une augmentation de l'activité des mitochondries des astrocytes, ce qui serait pourtant bien plus efficace pour produire de l'énergie.En utilisant la microscopie par fluorescence, nous avons pu mesurer les changements de concentrations ioniques dans les mitochondries d'astrocytes soumis à une stimulation glutamatergique. Nous avons démontré que les mitochondries des astrocytes manifestent des augmentations spontanées et transitoires de leur concentrations ioniques, dont la fréquence était diminuée au cours d'une stimulation avec du glutamate. Nous avons ensuite montré que la capture de glutamate augmentait la concentration en sodium et acidifiait les mitochondries des astrocytes. En approfondissant ces mécanismes, plusieurs éléments ont suggéré que l'acidification induite diminuerait le potentiel de synthèse d'énergie d'origine mitochondriale et la consommation d'oxygène dans les astrocytes. En résumé, l'ensemble de ces travaux suggère que la signalisation neuronale impliquant le glutamate dicte aux astrocytes de sacrifier temporairement l'efficacité de leur métabolisme énergétique, en diminuant l'activité de leurs mitochondries, afin d'augmenter la disponibilité des ressources énergétiques utiles aux neurones.Résumé :La remarquable efficacité du cerveau à compiler et propager des informations coûte au corps humain 20% de son budget énergétique total. Par conséquent, les mécanismes cellulaires responsables du métabolisme énergétique cérébral se sont adéquatement développés pour répondre aux besoins énergétiques du cerveau. Les dernières découvertes en neuroénergétique tendent à démontrer que le site principal de consommation d'énergie dans le cerveau est situé dans les processus astrocytaires qui entourent les synapses excitatrices. Un nombre croissant de preuves scientifiques a maintenant montré que le transport astrocytaire de glutamate est responsable d'un coût métabolique important qui est majoritairement pris en charge par une augmentation de l'activité glycolytique. Cependant, les astrocytes possèdent également un important métabolisme énergétique de type mitochondrial. Par conséquent, la localisation spatiale des mitochondries à proximité des transporteurs de glutamate suggère l'existence d'un mécanisme régulant le métabolisme énergétique astrocytaire, en particulier le métabolisme mitochondrial.Afin de fournir une explication à ce paradoxe énergétique, nous avons utilisé des techniques d'imagerie par fluorescence pour mesurer les modifications de concentrations ioniques spontanées et évoquées par une stimulation glutamatergique dans des astrocytes corticaux de souris. Nous avons montré que les mitochondries d'astrocytes au repos manifestaient des changements individuels, spontanés et sélectifs de leur potentiel électrique, de leur pH et de leur concentration en sodium. Nous avons trouvé que le glutamate diminuait la fréquence des augmentations spontanées de sodium en diminuant le niveau cellulaire d'ATP. Nous avons ensuite étudié la possibilité d'une régulation du métabolisme mitochondrial astrocytaire par le glutamate. Nous avons montré que le glutamate initie dans la population mitochondriale une augmentation rapide de la concentration en sodium due à l'augmentation cytosolique de sodium. Nous avons également montré que le relâchement neuronal de glutamate induit une acidification mitochondriale dans les astrocytes. Nos résultats ont indiqué que l'acidification induite par le glutamate induit une diminution de la production de radicaux libres et de la consommation d'oxygène par les astrocytes. Ces études ont montré que les mitochondries des astrocytes sont régulées individuellement et adaptent leur activité selon l'environnement intracellulaire. L'adaptation dynamique du métabolisme énergétique mitochondrial opéré par le glutamate permet d'augmenter la quantité d'oxygène disponible et amène au relâchement de lactate, tous deux bénéfiques pour les neurones.Abstract :The remarkable efficiency of the brain to compute and communicate information costs the body 20% of its total energy budget. Therefore, the cellular mechanisms responsible for brain energy metabolism developed adequately to face the energy needs. Recent advances in neuroenergetics tend to indicate that the main site of energy consumption in the brain is the astroglial process ensheating activated excitatory synapses. A large body of evidence has now shown that glutamate uptake by astrocytes surrounding synapses is responsible for a significant metabolic cost, whose metabolic response is apparently mainly glycolytic. However, astrocytes have also a significant mitochondrial oxidative metabolism. Therefore, the location of mitochondria close to glutamate transporters raises the question of the existence of mechanisms for tuning their energy metabolism, in particular their mitochondrial metabolism.To tackle these issues, we used real time imaging techniques to study mitochondrial ionic alterations occurring at resting state and during glutamatergic stimulation of mouse cortical astrocytes. We showed that mitochondria of intact resting astrocytes exhibited individual spontaneous and selective alterations of their electrical potential, pH and Na+ concentration. We found that glutamate decreased the frequency of mitochondrial Na+ transient activity by decreasing the cellular level of ATP. We then investigated a possible link between glutamatergic transmission and mitochondrial metabolism in astrocytes. We showed that glutamate triggered a rapid Na+ concentration increase in the mitochondrial population as a result of plasma-membrane Na+-dependent uptake. We then demonstrated that neuronally released glutamate also induced a mitochondrial acidification in astrocytes. Glutamate induced a pH-mediated and cytoprotective decrease of mitochondrial metabolism that diminished oxygen consumption. Taken together, these studies showed that astrocytes contain mitochondria that are individually regulated and sense the intracellular environment to modulate their own activity. The dynamic regulation of astrocyte mitochondrial energy output operated by glutamate allows increasing oxygen availability and lactate production both being beneficial for neurons.