Neuronal networks with gap junctions: A study of piece-wise linear planar neuron models

The presence of gap junction coupling among neurons of the central nervous systems has been appreciated for some time now. In recent years there has been an upsurge of interest from the mathematical community in understanding the contribution of these direct electrical connections between cells to large-scale brain rhythms. Here we analyze a class of exactly soluble single neuron models, capable of producing realistic action potential shapes, that can be used as the basis for understanding dynamics at the network level. This work focuses on planar piece-wise linear models that can mimic the firing response of several different cell types. Under constant current injection the periodic response and phase response curve (PRC) is calculated in closed form. A simple formula for the stability of a periodic orbit is found using Floquet theory. From the calculated PRC and the periodic orbit a phase interaction function is constructed that allows the investigation of phase-locked network states using the theory of weakly coupled oscillators. For large networks with global gap junction connectivity we develop a theory of strong coupling instabilities of the homogeneous, synchronous and splay state. For a piece-wise linear caricature of the Morris-Lecar model, with oscillations arising from a homoclinic bifurcation, we show that large amplitude oscillations in the mean membrane potential are organized around such unstable orbits.

Mode locking in a spatially extended neuron model: active soma and compartmental tree

Understanding the mode-locked response of excitable systems to periodic forcing has important applications in neuroscience. For example it is known that spatially extended place cells in the hippocampus are driven by the theta rhythm to generate a code conveying information about spatial location. Thus it is important to explore the role of neuronal dendrites in generating the response to periodic current injection. In this paper we pursue this using a compartmental model, with linear dynamics for each compartment, coupled to an active soma model that generates action potentials. By working with the piece-wise linear McKean model for the soma we show how the response of the whole neuron model (soma and dendrites) can be written in closed form. We exploit this to construct a stroboscopic map describing the response of the spatially extended model to periodic forcing. A linear stability analysis of this map, together with a careful treatment of the non-differentiability of the soma model, allows us to construct the Arnol'd tongue structure for 1:q states (one action potential for q cycles of forcing). Importantly we show how the presence of quasi-active membrane in the dendrites can influence the shape of tongues. Direct numerical simulations confirm our theory and further indicate that resonant dendritic membrane can enlarge the windows in parameter space for chaotic behavior. These simulations also show that the spatially extended neuron model responds differently to global as opposed to point forcing. In the former case spatio-temporal patterns of activity within an Arnol'd tongue are standing waves, whilst in the latter they are traveling waves.

Focus on sulfur count rates along marine sediment cores acquired by XRF Core Scanner

The aim of this study is to investigate the information provided by sulfur count rates obtained by X-ray fluorescence core scanner (XRF-CS) along sedimentary records. The analysis of two marine sediment cores from the Niger Delta margin shows that XRF-CS sulfur count rates obtained at the surface of split core sections with XRF-CS correlate with both direct quantitative pyrite concentrations, as inferred from X-ray powder diffraction (XRD) and sulfur determination by wavelength dispersive X-ray fluorescence (WD-XRF) spectrometry, and total dissolved sulfide (TDS) contents in the sediment pore water. These findings demonstrate the potential of XRF-CS for providing continuous profiles of pyrite distribution along split sections of sediment cores. The potential of XRF-CS to detect TDS pore water enrichments in marine sediment records, even a long time after sediment recovery, will be further discussed.

TRIPS and Special & Differential Treatment – Revisiting the Case for Derogations in Applying Patent Protection for Pharmaceuticals in Developing Count

In this paper we apply an implicit threshold approach, malleable to the principle of graduation, to identify countries that should benefit from derogations from WTO TRIPS commitments for pharmaceutical patents under the tenets of Special and Differential Treatment. This is based on the identification of four broad constraints loosely classified as; economic constraints; access topharmaceuticals; capacity constraints; and incidence of health outcomes. We identify these by means of analytical criteria and create a composite index that ranks countries according to the observed constraints which delimit the capabilities and desirability of implementing TRIPs disciplines. We discuss the use of negotiated weights and thresholds in determining participation and graduation into general provisions of the agreement. It follows that countries below the chosen threshold should be exempt from these hence receiving Special and Differential Treatment.

Evaluation of the use of PetrifilmTM EB count plates for the enumeration of Enterobacteriaceae in poultry samples.

Um teste rápido, que apresente o resultado em curto período de tempo, que seja simples, sensível para detectar baixos níveis de micro-organismos, preciso e que não seja caro, seria o mais adequado para a rotina laboratorial da indústria de alimentos ou mesmo para os laboratórios de Saúde Pública. Um dos métodos alternativos prontos para o uso, comercialmente disponíveis no mercado, são as placas PetrifilmTM. O objetivo deste estudo foi avaliar se há diferença estatística significativa entre o método convencional - empregando o ágar vermelho violeta bile glicose ? e o método alternativo, PetrifilmTM EB (3M Company), para a enumeração de Enterobacteriaceae em carcaças de frango.

Economic value for the trait tick count in Brangus cattle.

Profitability of a beef cattle system may be significantly reduced by the effects of tick (Rhipicephalus (Boophilus) microplus).

Impact of genetic polymorphisms determining leukocyte/neutrophil count on chemotherapy toxicity

Nous avons investigué la relation entre les polymorphismes de nucléotides simples (SNPs) chez trois gènes/loci candidats : DARC, CXCL2 et le loci ORMDL3-GSDMA-CSF3 situés sur le chromosome 17q21 et les complications neutropéniques et infectieuses qui en résultent durant la chimiothérapie chez les patients atteints de la leucémie lymphoblastique aigue. Ces loci codent pour certaines composantes du système immunitaire altérant la concentration de chémokines et leur distribution (DARC), stimulant le relâchement et la migration des neutophiles de la moelle épinière (CXCL2) et régulant la prolifération et la survie des granulocytes (G-CSF). Il est possible que des polymorphismes dans ces loci lorsqu’associés à de la chimiothérapie puissent mettre des individus suceptibles à un risque plus élevé de complication reliées à la chimiothérapie. Une sélection des marqueurs SNPs dans ces gènes ont été génotypés chez des enfants traités au CHU Ste-Justine pour une ALL entre 1989 et 2005. Après correction pour tests multiples, un polymorphisme DARC rs3027012 situé dans le 5’UTR a été associé à un compte phagocytaire peu élevé (APC<500 et <1000 cellules/µL, p=0.001 and p=0.0005, respectivement) ainsi qu’une hospitalisation due à une neutropénie (p=0.007) ou due à une infection et/ou neutropénie (p=0.007). Un effet protecteur a été identifié pour la mutation non sense Gly42Asp variant rs12075 (p=0.006). Des polymorphismes sur le chromosome 17q2 étaient associés à une hospitalisation due à une infection (rs3859192, p= 0.004) et à une neutropénie (rs17609240, p=0.006) L’infection était aussi modulée par CXCL2 (rs16850408, p=0.008) Cette étude identifie pour la première fois que les loci modulant le décompte des leucocytes et des neutrophiles pourraient jouer un rôle dans de déclenchement de complications dues à la chimiothérapie et pourraient ainsi servir de marqueurs pour un ajustement et un suivi du traitement.

Impact of genetic polymorphisms determining leukocyte/neutrophil count on chemotherapy toxicity

Nous avons investigué la relation entre les polymorphismes de nucléotides simples (SNPs) chez trois gènes/loci candidats : DARC, CXCL2 et le loci ORMDL3-GSDMA-CSF3 situés sur le chromosome 17q21 et les complications neutropéniques et infectieuses qui en résultent durant la chimiothérapie chez les patients atteints de la leucémie lymphoblastique aigue. Ces loci codent pour certaines composantes du système immunitaire altérant la concentration de chémokines et leur distribution (DARC), stimulant le relâchement et la migration des neutophiles de la moelle épinière (CXCL2) et régulant la prolifération et la survie des granulocytes (G-CSF). Il est possible que des polymorphismes dans ces loci lorsqu’associés à de la chimiothérapie puissent mettre des individus suceptibles à un risque plus élevé de complication reliées à la chimiothérapie. Une sélection des marqueurs SNPs dans ces gènes ont été génotypés chez des enfants traités au CHU Ste-Justine pour une ALL entre 1989 et 2005. Après correction pour tests multiples, un polymorphisme DARC rs3027012 situé dans le 5’UTR a été associé à un compte phagocytaire peu élevé (APC<500 et <1000 cellules/µL, p=0.001 and p=0.0005, respectivement) ainsi qu’une hospitalisation due à une neutropénie (p=0.007) ou due à une infection et/ou neutropénie (p=0.007). Un effet protecteur a été identifié pour la mutation non sense Gly42Asp variant rs12075 (p=0.006). Des polymorphismes sur le chromosome 17q2 étaient associés à une hospitalisation due à une infection (rs3859192, p= 0.004) et à une neutropénie (rs17609240, p=0.006) L’infection était aussi modulée par CXCL2 (rs16850408, p=0.008) Cette étude identifie pour la première fois que les loci modulant le décompte des leucocytes et des neutrophiles pourraient jouer un rôle dans de déclenchement de complications dues à la chimiothérapie et pourraient ainsi servir de marqueurs pour un ajustement et un suivi du traitement.

Imported Swine Count, May 2016

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, June 2016

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, July 2016

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, August 2016

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, October 2016

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, September 2016

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, November 2016

The imported swine court report monthly by the Department of Agricultural.