Systematic investigations through several experimental techniques have revealed that hippocampal pyramidal neurons express voltage gated ion channels (VGICs) with well-defined gradients along their dendritic arbor. These actively maintained gradients in various dendritic VGICs effectuate several stereotypic, topographically continuous functional gradients along the topograph of the dendritic arbor, and have been referred to as intraneuronal functional maps. The prime goal of my thesis was to understand the emergence and homeostasis of the several coexistent functional maps that express within hippocampal pyramidal neurons. In the first part of the thesis, we focus only on spatial interactions between ion channels and analyzed the role of such interactions in the emergence of functional maps. We developed a generalized quantitative framework, the influence field, to analyze the extent of influence of a spatially localized VGIC cluster. Employing this framework, we showed that a localized VGIC cluster could have spatially widespread influence, and was heavily reliant on the specific physiological property and background conductances. Using the influence field model, we reconstructed functional gradients from VGIC conductance gradients, and demonstrated that the cumulative contribution of VGIC conductances in adjacent compartments plays a critical role in determining physiological properties at a given location. These results suggested that spatial interactions among spatially segregated VGIC clusters are necessary for the emergence of the functional maps. In the second part of the thesis, we assessed the specific roles of only kinetic interactions between ion channels in determining physiological properties by employing a single-compartmental model. In doing this, we analyzed the roles of interactions among several VGICs in regulating intrinsic response dynamics. Using global sensitivity analysis, we showed that functionally similar models could be achieved even when underlying parameters displayed tremendous variability and exhibited weak pair-wise correlations. These results suggested that that response homeostasis could be achieved through several non-unique channel combinations, as an emergent consequence of kinetic interactions among these channel conductances. In the final part of the thesis, we analyzed the combined impact of both spatial and kinetic interactions among ion channel conductances on the emergence and homeostasis of functional maps in a neuronal model endowed with extensive dendritic arborization. To do this, we performed global sensitivity analysis on morphologically realistic conductance-based models of hippocampal pyramidal neurons that coexpressed six functional maps. We found topographically continuous functional maps to emerge from disparate model parameters with weak pair-wise correlations between parameters. These results implied that individual channel properties need not be set at constant values in achieving overall homeostasis of several coexistent functional maps. We suggest collective channelostasis, where several channels regulate their properties and expression profiles in an uncorrelated manner, as an alternative for accomplishing functional map homeostasis. Finally, we developed a methodology to assess the contribution of individual channel conductances to the various functional measurements employing virtual knockout simulations. We found that the deletion of individual channels resulted in variable, measurement-and location-specific impacts across the model population.

Modification of Hodgkin and Huxley’s experimentally derived set of nonlinear differential equations was implemented to accurately simulate the action potential of the Hirudo Medicinalis’s Retzius cell in MATLAB under analogous conditions to those found in the Retzius cell environment. The voltage-gated sodium and potassium channel responses to changes in membrane potential, as experimentally determined by Hodgkin and Huxley, were manipulated to suit simulation parameters established by electrophysiological Retzius cell recordings. Application of this methodology permitted additional accurate simulation of the Hirudo Medicinalis’s P cell under analogous conditions to those found in the P cell environment. Further refinement of this technique should allow for the voltage-gated behavioral based simulation of action potential waveforms found in variety of neurons under simulation conditions analogous to the nerve cell environment.

L'utilisation de champs électriques pulsés (PEF) dans les secteurs de la médecine et de la biotechnologie est devenue de plus en plus courante au cours des dernières décennies. La recherche a montré qu'en ajustant la durée du PEF, nous pouvons prédire quels effets seront observés. Alors que les PEF dans la gamme micro - milliseconde ont été utilisés pour perméabiliser la membrane cellulaire et améliorer l'absorption de médicament ou de protéine, le PEF nanoseconde (nsPEF) a démontré des effets uniques sur les organites intracellulaires. Les deux PEF et nsPEF ont démontré un potentiel thérapeutique pour une variété de pathologies humaines, y compris le traitement du cancer. Utilisant l'imagerie des cellules vivantes, cette thèse a étudié in vitro les effets de champs pulsés d'une durée de 10 ns à 10 ms sur des lignées cancéreuses (U87 glioblastome multiforme) et non cancéreuses (neurones hippocampes de souris (HT22) et cellules ovariennes du hamster chinois (CHO)). Des résultats publiés antérieurement ont démontré que les cellules cancéreuses sont plus sensibles aux champs électriques que les cellules saines. Nos résultats sont en accord avec ces résultats, dans la mesure où les cellules U87 ont subi une dépolarisation significativement plus importante de leur potentiel transmembranaire après une seule impulsion électrique à toutes les durées. Dans un ensemble d'expériences parallèles, malgré des seuils de champ électrique similaires pour la perméabilisation membranaire, les cellules U87 ont démontré une absorption significativement améliorée de YO-PRO par rapport aux autres lignées cellulaires. Bien que les cellules U87 aient subi le plus grand changement dans la dépolarisation membranaire et la perméabilisation membranaire, elles ont également montré la constante de rescellement de la membrane la plus rapide, qui était environ 30 secondes plus rapide que les autres lignées cellulaires. Pour élucider certains des mécanismes sous-jacents par lesquels les cellules U87 répondent aux champs électriques, une série d'expériences a examiné le rôle des canaux ioniques transmembranaires. Plusieurs études récentes ont rapporté que les PEF peuvent agir directement sur les canaux ioniques voltage-dépendants. En utilisant divers modulateurs de canaux ioniques pharmacologiques spécifiques et à action large, nous avons démontré que nous pouvions presque entièrement inhiber la dépolarisation membranaire induite par le champ électrique dans les cellules U87 en bloquant certains canaux cationiques. Ces résultats étaient assez spécifiques, tels que le canal de potassium de grande conductance (BK), les canaux calciques de type L et T, et le canal cationique non spécifique, TRPM8, étaient capables d'inhiber la dépolarisation tandis que le blocage d'autres canaux ioniques ne produisait aucun changement significatif. . Les travaux de cette thèse ont montré que la lignée cellulaire maligne U87 présentait une plus grande sensibilité aux champs électriques allant de 10 ns à 10 ms par rapport aux lignées cellulaires non cancéreuses étudiées. Des améliorations potentielles aux protocoles de traitement actuels ont été proposées sur la base des résultats présentés ici. / The use of pulsed electric fields (PEF) in medical and biotechnology sectors has become increasingly prevalent over the last few decades. Research has shown that by adjusting the duration of the PEF we can predict what effects will be observed. Whereas PEF in the micro-to-millisecond range have been used to permeabilize the cell membrane and enhance drug or protein uptake, nanosecond PEF (nsPEF) have demonstrated unique effects on intracellular organelles. Both PEF and nsPEF have demonstrated therapeutic potential for a variety of human pathologies, including the treatment of cancer. Using live-cell imaging, this thesis investigated, in vitro, the effects of pulsed fields ranging in duration from 10 ns to 10 ms on cancerous (U87 glioblastoma multiforme) and non-cancerous cell lines (mouse hippocampal neurons (HT22) and Chinese hamster ovary (CHO) cells). Previously published results have demonstrated that cancerous cells have a greater sensitivity to applied electric fields than healthy cells do. Our results are in agreement with these findings, insofar as the U87 cells underwent a significantly greater depolarization of their transmembrane potential following a single electric pulse at all durations. In a parallel set of experiments, despite having similar electric field thresholds for membrane permeabilization, the U87 cells demonstrated significantly enhanced YO-PRO uptake compared to the other cells lines. Although U87 cells underwent the greatest change in both membrane depolarization and membrane permeabilization, they also showed the fastest membrane resealing constant, which was approximately 30 seconds faster than other cell lines. To elucidate some of the underlying mechanisms by which U87 cells respond to electric fields, a series of experiments looked at the role of transmembrane ion channels. Several recent studies have reported that PEFs can act directly on voltage-gated ion channels. Using a variety of specific and broad acting pharmacological ion channel modulators, we demonstrated that we could almost entirely inhibit the electric field-induced membrane depolarization in U87 cells by blocking certain cationic channels. These results were quite specific, such that the big conductance potassium (BK) channel, L- and T-type calcium channels, and the non-specific cationic channel, TRPM8, were able to inhibit depolarization while blocking other ion channels produced no significant change. The work in this thesis showed that the malignant U87 cell line showed a greater sensitivity to electric fields from ranging from 10 ns – 10 ms when compared to the non-cancerous cell lines that were investigated. Potential improvements to current treatment protocols have been proposed based on the findings presented herein.