Cerebral ischemia is a highly debilitating condition where shortage of oxygen and glucose leads to profuse cell death. Insufficient blood supply to the brain leads to cerebral ischemia and increase in extracellular lactate concentrations. Rise in lactate concentration and the leak potassium channel TREK1 have been independently associated with cerebral ischemia. Lactate is a neuroprotective metabolite whose concentrations increase to 15-30 mM during ischemia and TREK1 is a neuroprotective potassium channel which is upregulated during ischemia. Recent literature suggests lactate to be neuroprotective and TREK1 knockout mice show an increased sensitivity to brain and spinal cord ischemia, however the connecting link between the two is missing. We hypothesized that lactate might interact with TREK1 channels and mediate neuroprotection. The aim of this study was to investigate the effect of lactate on activity and expression of TREK1 channels and evaluate the role of lactate-TREK1 interaction in conferring neuroprotection in the ischemia-prone hippocampus Ischemic concentrations (15-30 mM) of lactate at pH 7.4 increased whole cell TREK1 current in CA1 stratum radiator astrocytes and caused membrane hyperpolarization. We confirmed the intracellular action of lactate on TREK1 in hippocampal slices using mono carboxylate transporter blockers. The intracellular effect of lactate on TREK1 channels is specific since other mono carboxylates such as pyruvate at pH 7.4 failed to increase TREK1 current. We used immunostaining, western blot and electrophysiology to show that 15-30 mM of lactate increased functional TREK1 protein expression by 1.5-3 fold in hippocampal astrocytes. Next, we performed quantitative PCR to investigate if the increase in TREK1 protein expression was due to increased transcription and found that lactate stimulated TREK1 mRNA transcription to increase TREK1 protein. Lactate mediated increase in TREK1 expression was dependent on protein kinase A as inhibitors of protein kinase A abolished the increase in TREK1 mRNA and protein. The role of lactate-TREK1 interaction in neuroprotection was subsequently investigated using an in vitro oxygen glucose deprivation model of ischemia. Addition of 30 mM lactate to oxygen glucose deprived slices reduced neuronal death in the hippocampal CA1 pyramidal layer. However, 30 mM lactate failed to reduce cell death in rat hippocampal slices treated with TREK1 channel blockers signifying the requirement of active TREK1 channels for lactate mediated neuroprotection. However, lactate in the presence of protein kinase inhibitor failed to reduce cell death. This might be related to the role of protein kinase A in upregulation of TREK1 channels. We also estimated CA1 pyramidal neuronal TREK1 channel expression and found both lactate and oxygen glucose deprivation to decrease TREK1 channel expression that was surprisingly opposite to the effects on astrocytes. As TREK1 channel activation and upregulation decreases neuronal excitability, a decrease in neuronal TREK1 channel expression in response to lactate is expected to cause higher neuronal death and fails to explain lactate mediated neuroprotection. Since, lactate upregulated TREK1 channel expression and functional activity in CA1 stratum radiate astrocytes, we reasoned that the lactate mediated neuroprotection might be via astrocytic TREK1 channels requiring viable functional astrocytes. This was tested by disrupting astrocyte function using gliotoxin, and estimating cell death in oxygen glucose deprived hippocampal slices. Lactate failed to reduce cell death in presence of gliotoxin signifying the importance of viable astrocytes for lactate mediated neuroprotection. The above effects were specific to lactate as pyruvate failed to increase TREK1 expression and reduce cell death. TREK1 channels contribute to neuroprotection by enhancing potassium buffering and glutamate clearance capacity of astrocytes. We propose that lactate promotes neuronal survival in hippocampus by increasing TREK1 channel expression and activity in astrocytes during ischemia. This pathway serves as an alternate mechanism of neuroprotection.

Les systèmes « excitables » sont omniprésents dans la nature, le plus paradigmatique d'entre eux étant le neurone, qui répond de façon « tout ou rien » aux perturbations externes. Cette particularité étant clairement établie comme l'un des points clé pour le fonctionnement des systèmes nerveux, son analyse dans des systèmes modèles (mathématiques ou physiques) peut d'une part aider à la compréhension de la dynamique d'ensembles de neurones couplés et d'autre part ouvrir des voies pour un traitement neuromimétique de l'information. C'est dans cette logique que s'inscrit la préparation de cette thèse de doctorat. Dans ce mémoire, nous utilisons des systèmes basés sur des lasers à semiconducteur pour d'une part modéliser des systèmes excitables ou des ensembles de systèmes neuromimétiques couplés et d'autre part pour contrôler (grâce à l'optogénétique) des canaux ioniques impliqués dans l'émission de potentiels d'action par des neurones de mammifères. Le long du premier chapitre, nous présentons de manière synthétique les concepts dynamiques sur lesquels nous nous appuierons dans la suite du manuscrit. Par la suite, nous décrivons brièvement le contexte de ce travail du point de vue de la synchronisation, notamment de cellules excitables. Enfin, nous discutons le contexte applicatif potentiel de ces travaux, c’est-à-dire l'utilisation de systèmes photoniques dits « neuromimétiques » dans le but de traiter de l'information. Dans le chapitre 2, nous analysons tout d'abord du point de vue théorique et bibliographique le caractère excitable d'un laser à semiconducteur sous l'influence d'un forçage optique cohérent. Par la suite, nous détaillons nos travaux expérimentaux d'abord, puis numériques et théoriques, sur la réponse de ce système « neuromimétique » à des perturbations répétées dans le temps. Tandis que le modèle mathématique simplifié prévoit un comportement de type intégrateur en réponse a des perturbations répétées, nous montrons que le comportement est en fait souvent résonateur, ce qui confère à ce système la propriété étonnante d'émettre une impulsion seulement s'il reçoit deux perturbations séparées d'un intervalle de temps bien précis. Nous montrons également que ce système peut convertir des perturbations de différente intensité en une série d'impulsions toutes identiques mais dont le nombre dépend de l'intensité de la perturbation incidente. Dans le chapitre 3, nous analysons (de nouveau expérimentalement, puis numériquement et théoriquement) le comportement dynamique d'un réseau de lasers à semiconducteur couplés dans un régime de chaos lent-rapide. Nous nous basons sur une étude antérieure montrant qu'un seul de ces éléments peut présenter une dynamique neuromimétique (en particulier l'émission chaotique d'impulsions originant du phénomène de canard). De façon surprenante pour un système ayant un si grand nombre de degrés de liberté, nous observons une dynamique qui semble chaotique de basse dimension. Nous examinons l'impact des propriétés statistiques de la population considérée sur la dynamique et relions nos observations expérimentales et numériques à l'existence d'une variété critique calculable analytiquement pour le champ moyen et près duquel converge la dynamique grâce au caractère lent-rapide du système. Dans le chapitre 4 enfin, nous présentons une brève étude expérimentale de la réponse de cellules biologiques à des perturbations lumineuses. En effet, les techniques optogénétiques permettent de rendre des cellules (en particulier des neurones) sensibles à la lumière grâce au contrôle optique de l'ouverture et de la fermeture de canaux ioniques. Ainsi, après avoir étudié dans les chapitres précédents des systèmes optiques sur la base de considérations provenant de systèmes biologiques, nous amenons matériellement un système laser vers un système biologique. / Excitable systems are everywhere in Nature, and among them the neuron, which responds to an external stimulus with an all-or-none type of response, is often regarded as the most typical example. This excitability behaviour is clearly established as to be one of the underlying operating mechanisms of the nervous system and its analysis in model systems (being them mathematical of physical) can, from one hand, shed some light on the dynamics of neural networks, and from the other, open novel ways for a neuro-mimetic treatment of information. The work presented in this PhD thesis was realized in this perspective. In this dissertation we will consider systems based on semiconductor lasers both for modelling excitable systems or coupled neuromorphic networks and for controlling (in an optogenetic outlook) ionic channels that are involved in the emission of action potentials of neurons in mammals. During the first chapter, we will briefly present the dynamical concepts on which we will build our understanding for the rest of the manuscript. Thereafter, we will describe the context of this work from the point of view of synchronized systems, in particular excitable cells. Finally, we will discuss in this context the applications potential of this work, namely the possibility of using “neuromimetic” photonic systems as a was to treat information. In chapter 2 we will firstly analyse from a theoretical and bibliographical standpoint the excitable character of a laser with coherent injection. Later, we will firstly detail our results, firstly experimental and subsequently numerical and theoretical, on the response of this “neuromimetic” system to perturbations repeated in time. Whereas the simplified mathematical model envisions an integrator behaviour in response to repeated perturbations, we will show that the system often acts as a resonator, thus imparting the remarkable property of being able to emit a single pulse only if it receives two perturbations that are separated by a specific time interval. We will also illustrate how this system can convert perturbations of different intensity in a series of all identical pulses whose number depends on the intensity of the incoming perturbation. In the third chapter we will analyse, first experimentally and later numerically and theoretically, the dynamical behaviour of a network of coupled semiconductor lasers in a slow-fast chaotic regime. We will rely on a previous study documenting that a single such element can present a neuromimetic dynamics (in particular, the emission of chaotic pulses originating from a canard phenomenon). Surprisingly for a system having such a large number of degrees of freedom, we observe a dynamics which seems low dimensional chaotic. We will examine the impact of statistical properties of the selected population on the dynamics, and we will link our experimental and numerical observations to the existence of a slow manifold for the mean field, computable analytically, and towards whom the dynamics converges thanks to the slow-fact nature of the system. Finally, in chapter 4 we will present a short experimental study on the response of biological cells to light perturbations. Indeed, optogenetic techniques enables to render the cells (in particular neurons) sensitive to light due to the optical control of the opening and closing of ionic channels. Hence, after having studied in the previous chapters optical systems on the basis of observations derived from biological systems, we will physically transfer an optical system towards a biological one. Here we lay the groundwork of a photonic system which allows, with a moderate complexity, to realize cell measurements in response to spatially localized optical perturbations.