This dissertation examines the impact of stimulus and response similarity on response selection. Traditional models of response selection invoke a central processor that operates like a look-up table by matching the perceptually classified stimulus (e.g., green square) to the specified response (e.g., right button press). The look-up property of response selection affords the system the ability to map any stimulus onto any response, even if that stimulus-response has never been paired before. Under such an approach, the degree of perceptual similarity or dissimilarity that exists among stimuli in the environment should have little effect on central operations, the similarity or dissimilarity of the motor response executed in response to a stimulus should not influence response selection, and no interaction between stimulus and response features is permitted, given that stimulus features affect the encoding process, and response features affect the output process, but not response selection itself. Eight studies examine the influence of stimulus and response similarity during response selection. The first two experiments establish the interaction across different task demands between stimulus and response similarity. The interaction was not the result of perceptual difficulty (Experiment 3) and was extended to a new set of stimuli (Experiment 4). A consequence of the design in Experiments 1 - 4 was that response condition was confounded with response configuration. In one of the response conditions the target location had three competitors on one side of it compared to the other condition where the target had one competitor on one side and two others on the other side. Experiments 5 and 6 examined the separate roles that response configuration and response metrics had on the interaction between stimulus and response similarity. The mechanism that produced the interaction was the result of competition between partially activated stimulus-response alternatives. Experiments 7 and 8 further explored the role of competition during response selection by turning to traditional response selection methodologies that introduce competition through either the presentation of irrelevant stimulus information or through presenting the stimulus along an irrelevant spatial dimension. These data have broad implications for models of RS. To account for the ability to pair any stimulus modality with any response modality dominant accounts of RS assume that central operations are performed by a generic set of processes that operate over representations that are stripped of metric information (amodal representations). Response selection works as a look-up table that receives a categorized stimulus as an input and returns an abstract response code as output. This type of model cannot produce an interaction between stimulus and response similarity and thus, the present data provide a serious challenge to these types of models. Finally, the data provide evidence that the metric relationship between stimuli and response matter and influence response selection. The co-activation of stimulus-response alternatives are at a level of representation that includes both stimulus and response properties. A framework is presented that captures key aspects of the data.

The overall goal of the dissertation is to contribute to the growing literature on multiple discrete-continuous (MDC) choice models. In MDC choice situations, consumers often encounter two inter-related decisions at a choice instance – which alternative(s) to choose for consumption from a set of available alternatives, and the amount to consume of the chosen alternatives. In the recent literature, there is increasing attention on modeling MDC situations based on a rigorous underlying micro-economic utility maximization framework. Among these models, the multiple-discrete continuous extreme value MDCEV model (Bhat, 2005, 2008) provides a number of advantages over other models. The primary objective of this dissertation is to extend the MDCEV framework to accommodate more realistic decision-making processes from a behavioral standpoint. The dissertation has two secondary objectives. The first is to advance the current operationalization and the econometric modeling of MDC choice situations. The second is to contribute to the transportation literature by estimating MDC models that provide new insights on individuals’ travel decision processes. The proposed extensions of the MDCEV model include: (1) To formulate and estimate a latent choice set generation model within the MDCEV framework, (2) To develop a random utility-based model formulation that extends the MDCEV model to include multiple linear constraints, and (3) To extend the MDCEV model to relax the assumption of an additively separable utility function. The methodologies developed in this dissertation allow the specification and estimation of complex MDC choice models, and may be viewed as a major advance with the potential to lead to significant breakthroughs in the way MDC choices are structured and implemented. These methodologies provide a more realistic representation of the choice process. The proposed extensions are applied to different empirical contexts within the transportation field, including participation in and travel mileage allocated to non-work activities during various time periods of the day for workers, participation in recreational activities and time allocation for workers, and household expenditures in disaggregate transportation categories. The results from these exercises clearly underline the importance of relaxing some of the assumptions made, not only in the MDCEV model, but in MDC models in general. / text

Cette thèse est consacrée au développement de modèles mathématiques de l'hématopoïèse et de maladies du sang. Elle traite du développement de modèles hybrides discrets continus et de leurs applications à la production de cellules sanguines (l'hématopoïèse) et de maladies sanguines telles que le lymphome et le myélome. La première partie de ce travail est consacrée à la formation de cellules sanguines à partir des cellules souches de la moelle osseuse. Nous allons principalement étudier la production des globules rouges, les érythrocytes. Chez les mammifères, l'érythropoïèse se produit dans des structures particulières, les îlots érythroblastiques. Leur fonctionnement est régi par de complexes régulations intra et extracellulaire mettant en jeux différents types de cellules, d'hormones et de facteurs de croissance. Les résultats ainsi obtenus sont comparés avec des données expérimentales biologiques ou médicales chez l'humain et la souris. Le propos de la deuxième partie de cette thèse est de modéliser deux maladies du sang, le lymphome lymphoblastique à cellules T (T-LBL) et le myélome multiple (MM), ainsi que leur traitement. Le T-LBL se développe dans le thymus et affecte la production des cellules du système immunitaire. Dans le MM, les cellules malignes envahissent la moelle osseuse et détruisent les îlots érythroblastiques empêchant l'érythropoïèse. Nous développons des modèles multi-échelles de ces maladies prenant en compte la régulation intracellulaire, le niveau cellulaire et la régulation extracellulaire. La réponse au traitement dépend des caractéristiques propres à chaque patient. Plusieurs scénarios de traitements efficaces, de rechutes et une résistance au traitement sont considérés. La dernière partie porte sur un modèle d'équation de réaction diffusion qui peut être utilisé pour décrire l'évolution darwinienne des cellules cancéreuses. L'existence de “pulse solutions”, pouvant décrire localement les populations de cellules et leurs évolutions, est prouvée / The thesis is devoted to mathematical modeling of hematopoiesis and blood diseases. It is based on the development of hybrid discrete continuous models and to their applications to investigate production of blood cell (hematopoiesis) and blood diseases such as lymphoma and myeloma. The first part of the thesis concerns production of blood cells in the bone marrow. We will mainly study production of red blood cells, erythropoiesis. In mammals erythropoiesis occurs in special structures, erythroblastic islands. Their functioning is determined by complex intracellular and extracellular regulations which include various cell types, hormones and growth factors. The results of modeling are compared with biological and medical data for humans and mice. The purpose of the second part of the thesis is to model some blood diseases, T cell Lymphoblastic lymphoma (T-LBL) and multiple myeloma (MM) and their treatment. TLBL develops in the thymus and it affects the immune system. In MM malignant cells invade the bone marrow and destroy erythroblastic islands preventing normal functioning of erythropoiesis. We developed multi-scale models of these diseases in order to take into account intracellular molecular regulation, cellular level and extracellular regulation. The response to treatment depends on the individual characteristics of the patients. Various scenarios are considered including successful treatment, relapse and development of the resistance to treatment. The last part of the thesis is devoted to a reaction-diffusion model which can be used to describe Darwinian evolution of cancer cells. Existence of pulse solutions, which can describe localized cell populations and their evolution, is proved

La fibrillation auriculaire (FA) est le type d’arythmie cardiaque le plus fréquent. Cependant, ses mécanismes sont encore mal compris et le développement de stratégies thérapeutiques efficaces reste un défi. Des recherches ont montré que les mécanismes de remodelage structurel, notamment la dissociation électrique endocardique-épicardique, jouent un rôle potentiellement important dans l'initiation, la complexité et le maintien de la FA. En ce sens, les potentiels extracellulaires sont des outils non invasifs largement utilisés dans le diagnostic et la compréhension de cette arythmie ainsi que dans le guidage des interventions par cathéter. L'objectif principal de cette thèse était de développer des modèles informatiques des oreillettes et d’étudier dans ces modèles comment les potentiels extracellulaires et les cartes d'activation à haute résolution peuvent être exploités pour caractériser les mécanismes de dissociation endocardique-épicardique en tant que substrat de la FA. Dans un premier temps, en utilisant un modèle de tissu auriculaire, nous avons montré que la dissociation endo-épicardique (délai endo-épicardique et couplage transmural) affecte l'asymétrie des électrogrammes unipolaires à travers l'orientation des sources de courant dipolaire dans le tissu auriculaire. Ce résultat a été par la suite confirmé par l’analyse morphologique des composantes de l’onde P dans un modèle anatomique des oreillettes. Nous avons en outre montré que l’épaisseur de la paroi auriculaire ainsi que le couplage transmural étaient des déterminants importants de ce délai, et que ce dernier peut induire des altérations significatives de la morphologie l’onde P même lorsque les cartes d’activation sont similaires et que les ondes P ont la même durée. Dans un second temps, nous avons exploré les effets tridimensionnels de la dissociation endo-épicardique et validé une technique de détection de percée d’ondes (breakthroughs) basée sur l’analyse des cartes d'activation à haute résolution et le suivi des ondes, en utilisant un modèle électro-anatomique de découplage endo-épicardique local. Nous avons utilisé cet outil pour la caractérisation de la dissociation endo-épicardique. Un critère de validité en a été dérivé, ce qui faciliterait la comparaison des taux de percée avec les données cliniques et la validation des outils d'analyse des signaux cartographiques lors de la caractérisation de la dissociation endo-épicardique. Enfin, nous avons développé un outil d'optimisation multi-paramètre qui rend possible l’étude des limites des modèles continus homogénéisés dans l'étude des mécanismes de dissociation endo-épicardique et aide dans le choix des modèles (continu homogénéisé ou discret détaillé). L’outil permet d’estimer le profil régulier de conductivité qui reproduit le mieux les propriétés de conduction cardiaque d'un modèle discret donné. Les résultats ont montré l'efficacité de cet outil pour reproduire des cartes d'activation dans le modèle homogénéisé même en présence de fibrose sévère. Ultimement, ce travail pose les bases du développement de nouveaux modèles informatiques pouvant aider à l’interprétation des signaux électriques dans des tissus cardiaques remodelés où la présence de micro-hétérogénéités exhibe les limites des modèles homogénéisés. / Atrial fibrillation (AF) is the most common type of cardiac arrhythmia. However, its mechanisms are still poorly understood and the development of effective therapeutic strategies remains a challenge. Research studies have shown that the mechanisms of structural remodeling, including endocardial-epicardial electrical dissociation, play a potentially important role in the initiation, complexity, and maintenance of AF. In this sense, extracellular potentials are non-invasive tools widely used in the diagnosis and understanding of this arrhythmia as well as in the guidance of catheter interventions. The main objective of this thesis was to develop computer models of the atria and to study in these models how extracellular potentials and high resolution activation maps can be exploited to characterize the mechanisms of endocardial-epicardial dissociation as substrate of AF. First, using an atrial tissue model, we showed that endo-epicardial dissociation (endo-epicardial delay and transmural coupling) alters the asymmetry of unipolar electrograms through the orientation of dipolar current sources in the atrial tissue. This result was later confirmed by morphological analysis of the P-wave components in an anatomical model of the atria. We further showed that atrial wall thickness as well as transmural coupling were important determinants of this delay, and that the latter can induce significant alterations in P-wave morphology even when activation maps are similar and P-waves have the same duration. Secondly, we explored the three-dimensional effects of endo-epicardial dissociation and validated a breakthrough wave detection technique based on the analysis of high-resolution activation maps and wave tracking, using an electro-anatomical model of local endo-epicardial decoupling. We used this tool for the characterization of endo-epicardial dissociation. A validity criterion was derived, which would facilitate the comparison of breakthrough rates with clinical data and the validation of mapping signals analysis tools for characterizing endo-epicardial dissociation. Finally, we developed a multi-parameter optimization tool that makes it possible to study the limits of homogenized continuous models in the study of endo-epicardial dissociation mechanisms and to help in the choice of models (homogenized continuous or detailed discrete). The tool enabled the estimation of the regular conductivity profile that best reproduces the cardiac conduction properties of a given discrete model. The results showed the effectiveness of this tool in reproducing activation maps in the homogenized model even in the presence of severe fibrosis. Ultimately, this work lays the foundations for the development of new computer models that can help in the interpretation of electrical signals in remodeled heart tissues where the presence of micro-heterogeneities exhibits the limits of homogenized models.