The stochastic behavior of voltage-gated ion channels causes fluctuations of conductances and voltages across neuronal membranes, contributing to the neuronal noise which is ubiquitous in the nervous system. While this phenomenon can be observed also on other parts of the neuron, here we concentrated on the axon and the way the channel noise influences axonal input-output characteristics. This was analysed by working with our newly created computational compartmental model, programmed in Matlab environment, built up using the Hodgkin-Huxley mathematical formalism and channel noise implemented via extended Markov Chain Monte Carlo method. The model was thoroughly verified to simulate plausibly a mammalian axon of CA3 neuron. Based on our simulations, we confirmed quantitatively the findings that the channel noise is the most prominent on membranes with smaller number of Na+ and K+ channels and that it majorly increases the variability of travel times of action potentials (APs) along axons, decreasing thereby the temporal precision of APs. The simulations analysing the effect of axonal demyelination and axonal diameter correlated well with other finding referred in Literature. We further focused on spike pattern and how is its propagation influenced by inter-spike intervals (ISI). We found, that APs fired...

The current study investigates the effect of strain state, strain rate, and membrane planar area on phospholipid bilayer mechanoporation and failure. Using molecular dynamics, a 1-palmitoyl-2-oleoyl-phosphatidylcholine (POPC) bilayer was deformed biaxially to represent injury-induced neuronal membrane mechanoporation and failure. For all studies, water forming a bridge through both phospholipid bilayer leaflets was used as a failure metric. To examine the effect of strain state, 72 phospholipid structures were subjected to equibiaxial, 2:1 non-equibiaxial, 4:1 non-equibiaxial, strip biaxial, and uniaxial tensile deformations at the von Mises strain rate of 5.45 × 108 s-1. The stress magnitude, failure strain, headgroup clustering, and damage behavior were strain state dependent. The strain state order of detrimentality in descending order was equibiaxial, 2:1 non-equibiaxial, 4:1 non-equibiaxial, strip biaxial, and uniaxial with failure von Mises strains of 0.46, 0.47, 0.53, 0.77, and 1.67, respectively. Additionally, pore nucleation, growth, and failure were used to create a Membrane Failure Limit Diagram (MFLD) to demonstrate safe and unsafe membrane deformation regions. This MFLD allowed representative equations to be derived to predict membrane failure from in-plane strains. To examine the effect of strain rate, the equibiaxial and strip biaxial strain states were repeated at multiple strain rates. Additionally, a 144 phospholipid structure, which was twice the size of the 72 phospholipid structure in the x dimension, was subjected to strip biaxial tensile deformations to examine planar area effect. The applied strain rates, planar area, and cross-sectional area had no effect on the von Mises strains at which pores greater than 0.1 nm2 were detected (0.509 plus/minus 7.8%) or the von Mises strain at failure (0.68 plus/minus 4.8%). Additionally, changes in bilayer planar and cross-sectional areas did not affect the stress response. However, a strain rate increase from 1.4 × 108 to 6.8 × 108 s-1 resulted in a yield stress increase of 44.1 MPa and a yield strain increase of 0.17. Additionally, a stress and mechanoporation behavioral transition was determined to occur at a strain rate of ~1.4 × 108 s-1. These results provide the basis to implement a more accurate mechano-physiological internal state variable continuum model that captures lower-length scale damage.

Un des phénomènes sociétaux marquants de ces dernières années est le vieillissement de la population et en conséquence, une hausse considérable du nombre de personnes âgées. Dans ce contexte, la recrudescence des pathologies chroniques liées au vieillissement, dont la maladie d’Alzheimer, est devenue un enjeu majeur de santé publique. L’impact de nombreux facteurs environnementaux modulables, l’aspect chronique et évolutif des mécanismes pathogènes mis en jeu, doivent inciter à développer des interventions préventives permettant de minimiser les risques de développer ces maladies liées au vieillissement. Ce travail nous a permis de mettre en évidence l’importance d’utiliser des modèles d’étude et des modes d’expérimentation adaptés au vieillissement pour espérer en ralentir ou retarder les processus délétères. Nos résultats ont aussi permis d’identifier les membranes comme des éléments essentiels au bon fonctionnement cérébral. L’altération de la composition et de l’architecture des membranes neuronales chez la souris âgée perturbe leurs fonctionnalités et diminue les capacités de réponse neuroprotectrices recherchées notamment lors des thérapies anti-Alzheimer. Nous avons aussi observé des modifications membranaires comparables chez les souris rendues dyslipidémiques par un régime alimentaire excessif en lipides saturés auquel nous avons pu clairement attribuer un rôle pro-vieillissement. Nous avons finalement démontré le potentiel préventif d’une supplémentation alimentaire en acide docosahexaénoïque, l’acide gras polyinsaturé à longue chaîne majoritaire dans le cerveau, et pu conclure en sa capacité de restaurer une réponse neuroprotectrice altérée chez la souris âgée / One of the marked societal phenomena in recent decades is the aging of populations due to continually increasing lifespans and as a result, a considerable surge in the number and proportion of elderly, particularly in Western countries. In this demographic context, the rise of chronic diseases related to aging, including Alzheimer’s disease and other types of dementia, has become a major public health issue. The impact of modifiable environmental factors, evolution of the pathogenic mechanisms involved, and the lack of curative treatments illustrates the need for the development of interventions to prevent or delay the onset of these aging-related diseases. The present work demonstrates the importance of using age-adapted study models and experimental methods with the goal towards slowing or delaying age-related deleterious processes. Secondly, our results have identified membranes as an essential part for normal brain function. The composition and architectural changes in the neuronal membranes of elderly mice disrupt their functionality and reduce neuroprotective responsiveness such as those sought by anti-Alzheimer’s therapies. We also observed similar pro-aging-type changes in brain membranes of dyslipidemic mice fed a high-fat diet. Thus, disturbances of lipid homeostasis are correlated with an increased risk of developing aging-related cardiovascular and metabolic as well as neurodegenerative diseases. We finally demonstrated the preventive potential of dietary supplementation with docosahexaenoic acid, the most abundant long-chain polyunsaturated fatty acid in the brain, and observed its ability to restore a neuroprotective response that was impaired in older mice

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