A doença de Behçet tem sua fisiopatologia caracterizada por hiperatividade neutrofílica, particularmente em relação à quimiotaxia, e períodos de atividade da doença podem ser desencadeados por exposição a estreptococos. Uma vez que células do sistema imune inato são ativadas pelo ácido lipoteicoico (LTA) de bactérias gram-positivas via receptor toll-like (TLR) 2 e CD14, cujas expressões são reguladas pelos fatores estimulantes de colônias de granulócitos (G-CSF) e granulócitos-macrófagos (GM-CSF), o objetivo principal deste estudo foi determinar se há hiperexpressão de TLR2 em neutrófilos de DB ativa e se a quimiotaxia de polimorfonucleares (PMN) neutrófilos na DB poderia ser hiperestimulada pelo LTA. Além do TLR2, foram medidas as expressões de TLR4, CD14, CD114 (receptor de G-CSF) e CD116 (receptor de GM-CSF) nos neutrófilos e nos monócitos de pacientes com doença de Behçet (DB), as concentrações séricas de CD14 solúvel (CD14s) e as respostas quimiotáxicas dos PMNs de DB sob diferentes estímulos. A expressão dos receptores foi medida pela citometria de fluxo, as concentrações séricas por ELISA e as respostas quimiotáxicas foram avaliadas em câmara de Boyden. Nos PMNs, os receptores foram igualmente expressos nos dois grupos e, estimulados com LTA, suas respostas quimiotáxicas também foram similares. Somente à incubação com plasma os PMNs de DB desenvolveram hiperquimiotaxia em relação aos PMNs controles. A expressão do TLR2 foi maior em monócitos de DB em relação aos controles, e a concentração de CD14s sérica, de origem monocitária, foi maior nos pacientes com DB ativa. Em conjunto, os resultados demonstram que PMNs de DB, isoladamente, não reagem exacerbadamente ao LTA, e suas respostas migratórias são estritamente dependentes de fatores estimulantes solúveis. / Expressions of toll-like receptor (TLR) 2, TLR4, CD14, CD114 and CD116 were assessed on polymorphonuclear (PMN) neutrophils and monocytes of patients with Behçets disease (BD). PMN chemotactic responses under different stimulations were also measured. The objective was to determine if BD PMN chemotaxis may be overstimulated by lipoteichoic acid (LTA) from gram-positive bacteria. Receptor expressions were measured by flow cytometry and PMN chemotaxis was assessed in a Boyden chamber. Only TLR2 expression was higher on monocytes of the BD group than in control group. On PMNs, however, TLR2 expression was similar in both groups and, when stimulated with LTA, BD PMN cells showed chemotactic responses similar to the controls. These cells only exhibited increased chemotaxis when incubated with plasma. In conclusion, isolated BD PMN did not overreact to LTA, and its hyperchemotaxis is strictly dependent on soluble stimulating factors

O recrutamento de neutrófilos para o sítio da infecção é um evento crucial para o combate aos microrganismos e sobrevivência na sepse. A migração destes polimorfonucleares é dirigida através de um gradiente quimiotático por meio do reconhecimento de quimiocinas por receptores acoplados a proteína G (GPCRs), os quais são regulados por quinases específicas (GRKs). Estudos prévios demonstraram que na sepse ocorre uma falência na migração de neutrófilos para o foco infeccioso em função da dessensibilização de receptores quimiotáticos via GRKs induzida pela ativação de receptores toll-like (TLRs), TLR2 e TLR4. Apesar de a ausência de TLR9 em células dendriticas ter sido relacionada a maior sobrevivência de camundongos sépticos, o papel do TLR9 atuando diretamente em neutrófilos não foi avaliado. Objetivando preencher esta lacuna, propôs-se avaliar o papel direto de TLR9 na falência de migração de neutrófilos na sepse. Os camundongos TLR9-/- apresentaram maior sobrevivência a sepse polimicrobiana avaliada por meio do modelo de ligadura e perfuração do ceco (CLP). A deficiência de TLR9 também acarretou em aumento na migração de neutrófilos para o foco da infecção, menor seqüestro de neutrófilos no pulmão, bem como, menor número de bactérias no lavado peritoneal e sangue. A ativação de TLR9 por oligodeoxinucleotídeo contendo o dinucleotídeo CpG não metilado (ODN CpG) nos neutrófilos reduziu a quimiotaxia destes em direção a quimiocina CXCL2 e expressão do receptor quimiotático CXCR2. Além disso, neutrófilos estimulados com ODN CpG apresentaram aumento na expressão da quinase tipo 2 relacionada a receptores acoplados a proteína G (GRK2). Dessa forma, a ativação de TLR9 em neutrófilos circulantes no sangue é prejudicial na sepse por reduzir a quimiotaxia destes para o foco da infecção ao induzir a dessensibilização de CXCR2 via GRK2. / The recruitment of neutrophils to the site of infection is a crucial event for combating the microorganisms and survival on sepsis. The neutrophil migration is directed by a chemotactic gradient through the recognition of chemokines by G protein-coupled receptors (GPCRs), which are regulated by specific kinases (GRKs). Previous studies have shown a failure of neutrophil migration into infectious focus on sepsis due to chemotactic receptor desensitization via GRKs induced by activation of toll- like receptors (TLRs), TLR2 and TLR4. Despite the absence of activation of TLR9 in dendritic cells have been related to increase survival of septic mice, the role of TLR9 acting directly on neutrophils was not evaluated. We proposed to verify the direct role of TLR9 in the failure of neutrophil migration on sepsis. The TLR9 knockout mice (TLR9-/-) showed high survival to polymicrobial sepsis using cecal ligation and puncture model (CLP). TLR9-/- mice had high neutrophil migration to the focus of infection, low neutrophil sequestration in the lung, as well as, few bacteria in the peritoneal exudates and blood. The activation of TLR9 by oligodeoxinucleotide containing unmethylated dinucleotide CpG (CpG ODN) in neutrophils also reduced chemotaxis toward CXCL2 and the expression of chemokine receptor CXCR2. In addition, neutrophils stimulated with CpG ODN showed increased expression of kinase-related G protein-coupled receptor type 2 (GRK2). Thus, the activation of TLR9 in blood circulating neutrophils is harmful on sepsis by reducing their chemotaxis into the site of the infection by inducing CXCR2 desensitization via GRK2.

Background: Tissue factor (TF) is a 47 kDa transmembrane glycoprotein known as the main initiator of blood coagulation. TF is over-expressed on many malignant cells and apart from increasing the risk of thrombosis, the presence of TF/FVIIa also promotes the progression of cancer and metastasis by intracellular signaling. TF expressing microparticles (MP) are, moreover, often found in the circulation of cancer patients. Aim: The aim of this thesis was to study different aspects of TF activity, e.g. the importance of procoagulant MP and TF-induced intracellular signaling pathways, with focus on cell migration (chemotaxis) and apoptosis. Results: The TF signaling complexes were shown to prevent apoptosis induced by serum starvation and TRAIL in cancer cells by reduced activation of caspase-8 in a PI3k/AKT-dependent manner. FVIIa also decreased transcription of pro-apoptotic genes in cancer cells treated with TRAIL. Simvastatin triggered apoptosis by transcriptional reduction of BCL-2 due to cytosolic retention of NFκB. Simvastatin also inactivated the PI3k/AKT pathway and reduced the production of the MP-like prostasomes which, respectively, impaired the anti-apoptotic signaling by TF and reduced the procoagulant activity in the vicinity of prostate cancer cells. Intracellular events conducted by the TF/FVIIa complex selectively enhanced PDGF-BB induced chemotaxis which was partly explained by the TF/FVIIa-induced transactivation of the PDGFβ-receptor. This was dependent on Src-family members and engagement of PAR2. Conclusions: The results presented in this thesis extend the current knowledge of TF-mediated signaling. We report the TF complexes to govern the extrinsic pathway of apoptosis, present data on FVIIa-dependent regulation of apoptosis-related genes, and exclude known surface proteins as transmitters of the anti-apoptotic signals. We moreover describe TF/FVIIa to transactivate the PDGFβ-receptor and play a decisive role in the potentiated chemotaxis toward PDGF-BB in a number of cell types. Finally, we explain the mechanism behind simvastatin-induced apoptosis in cancer cells and how statins interfere with TF-dependent signaling and coagulation.

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Suite à leur activation par des cellules présentatrices d’antigène, les lymphocytes T expriment le récepteur de chimiokines CXCR3 et peuvent alors infiltrer les tissus enflammés. Pour ce faire, CXCR3 permet aux cellules de détecter et de chimiotaxer vers des gradients de concentration croissants des chimiokines CXCL11 et CXCL10 retrouvées dans le milieu extracellulaire. Les gradients de chimiokines doivent être régulés afin d’assurer une réponse immunitaire adéquate. Toutefois, comment ces gradients sont formés, maintenus et éliminés n’est pas très bien compris. Il a été montré que certaines cellules participent à la régulation des gradients de chimiokines dans d’autres contextes. Pour ce faire, elles expriment des récepteurs de chimiokines spécialisés qui séquestrent les chimiokines, réduisant leur niveau dans le milieu extracellulaire. Ces récepteurs sont classés comme étant atypiques et n’induisent pas la chimiotaxie. Dans ce travail, nous proposons un mécanisme de régulation pour les chimiokines CXCL11 et CXCL10 qui est en ligne avec un mécanisme d’auto-génération de gradients de chimiokines par les lymphocytes T activés. / During the immune response, T lymphocytes are activated in lymph nodes by antigen-presenting cells. Following activation, T cells up-regulate the chemokine receptor CXCR3, which allows them to infiltrate inflamed tissues by a migratory process named chemotaxis. To do so, CXCR3 allows the cells to detect concentration gradients of the chemokines CXCL11 and CXCL10 which are secreted locally, at the inflammation site. The chemokine gradient represents a directional cue, indicating to cells in which direction to migrate. Chemokine gradients must be regulated to assure an appropriate immune response. However, how these gradients are formed, maintained and eliminated is not well understood. It has been shown in other contexts that cells participate in gradient shaping. To do so, they express specialised chemokine receptors who scavenge chemokines, reducing chemokine levels in the environment. These receptors are considered atypical because they do not induce chemotaxis. In this work, we provide evidence for the regulation of the chemokines CXCL11 and CXCL10 that is in line with self-generation of chemokine gradients by chemotaxing activated T cells.

In this thesis we have studied systems that driven by mechanisms broadly known as phoresis. More specifically, in the second chapter we calculate the excess noise in electrophoresis of a colloid due to microion fluctuations. In the next three chapters we study in detail a system of self-phoretic colloids, propelled by the energy released when an ambient fuel molecule makes contact with a catalytic region on the particle’s surface. We start with the behaviour of a single particle in a linear substrate gradient, then go on to study interactions between two particles due to their diffusion clouds, and finally obtain the collective equations of motion by a systematic coarse-graining of the microscopic Langevin dynamics. To understand the role of nonequilibrium fluctuations in an electrophoretic system we have theoretically analyzed the dynamics of a single colloidal particle in an externally applied electric field. We have studied the colloidal dynamics in two scenarios: a particle free to move in an unbounded fluid and a colloid near a wall which is stationary due to a balance between gravity and the electric field. The thermal motions of microions lead to an anisotropic, nonequilibrium noise, proportional to the field, in the effective Langevin equation for the colloid. The fluctuation-dissipation ratio depends strongly on frequency, in contrast to an equilibrium system, and the colloid if displaced from its steady-state position relaxes with a velocity not proportional to the gradient of the logarithm of the steady-state probability. Other measurable effects of this noise are a superdiffusive peak at short times and an enhanced diffusity at long times. We have then studied the effective potential and obtained a non-dimensional measure of the size of the excess noise. Possible extensions of this study to include the behaviour of the mean and fluctuation properties in the case of an applied alternating potential, and the effect of the excess noise on electrohydrodynamic aggregation of colloids. We next turn to a phoretic system that has been much studied in the recent years – active Janus colloids . On one hand these colloids are an important contribution to the general class of problems on self-propulsion at low Reynolds number. On the other hand since their behaviour can be tuned at the level of single particle we can ask how their collective behaviour depends on the swimmer design. This makes it a very rich field with lots of challenging questions. We first study the single particle behaviour of an active Janus colloid in an imposed substrate gradient, then build the two-particle interactions and ultimately the collective equations of motion by a generalisation of these results. Our work presents a new approach to active matter. We show theoretically how to design particles that are not only motile but can reorient in response to gradients, thus mimicking chemotaxis. We outline the collective behaviour emerging from these single-particle properties, including colloidal realisations of gravitational collapse, plasma oscillations and spontaneously ringing states, and present a phase diagram, in terms of single particle parameters, that can be tested in experiments. This provides a template to design collective behaviours of interest by tuning the surface properties of the colloids. We can also control the range of the interaction by varying the concentration of reactant. Our coarse-grained equations of motion for the polar orientation and number density fields for a collection of colloids propelled by and interacting through long-ranged dif-fusion fields are novel in a number of ways. This is the first example in active matter literature of a microscopic derivation of collective dynamics for particles interacting via long-ranged diffusion fields. The instabilities and possible phases that we predict are different from those in traditional flocking models, which consider only short-ranged aligning interactions. The long-ranged interactions of interest here cannot produce a globally polar ordered state, and we work in a concentration regime where steric and collisional interactions are not important. Instabilities towards flocking, and the advective nonlinearities of the Toner-Tu model, although not ruled out by the symmetries of our model, do not play a significant role in our system. The collective behaviour we predict will not be seen in purely locally interacting active-particle systems. The mechanisms at work in the “saturated” case where reactant is abundant cannot be viewed as totally generic features of collections of self-driven particles; they require interactions mediated by the production or consumption of long-ranged diffusing solute fields. Earlier work on saturated systems resolved neither interactions mediated by the polarity of the objects nor chemotactic effects. Their treatment truncated the equations at the level of the concentration [1]. In the “unsaturated” case more than one mechanism operates. One is related to the motility-induced phase separation discussed phenomenologically in refs. [2,3] (for which our system provides an important microscopic realisation). The other is due to chemo-taxis and phoresis which we report for the first time. Our expression of the various coefficients in the equaions of motion in terms of the single particle properties can also be used to design systems in which one or the other of these mechanisms dominate. We are now planning to study a collection of these particles in a fluid and examine the diffusion of a tracer particle as was done by Yeomans et al. [4] for hydrodynamic interactions. The Levy flights obtained in [4] is due to the long-ranged nature of the hydrodynamic fields, which cause effects like entrainment leading to interesting tracer dynamics. In this thesis we have considered colloids in which the symmetry axis of the colloid and the catalytic coat coincide. It might be of interest to consider cases when the axes are at an angle making the swimmer biaxial, or more complicated arrangements leading to chirality and thus rotation. Collective dynamics and two particle interaction between such swimmers can also be interesting. The formalism developed for the study of interaction between two active colloids through their diffusion fields and hydrodynamics can be extended to study their interaction with extended passive surfaces like walls or spheres. The collective dynamics of this class of active systems when it is confined between parallel walls is also of interest. Work in progress includes studies of the motion of the swimmer in a periodic array of passive colloids. In this study of collective dynamics, we have ignored the role of hydrodynamics, as the slowest decay of the field is 1/r3, which is subdominant to the decay of the chemical fields and in the dilute limit is expected to change things only qualitatively. However their role would be more important when we consider the stability of ordered structures like an aster in the saturated case. Another effect of hydrodynamics is to stir the fluid. It might be interesting to study the finite-P´eclet number regime [5, 6] of our system particularly in the unscreened region when advection of the scalar fields s and p by the velocity can affect clustering. We have derived the form of the nonlinear equations of motion in both the saturated and the unsaturated regimes. It will be interesting to investigate their relevance in the dynamics and phases that this extremely rich system can form. Even in the overdamped limit where we obtain an effective density equation it is not clear that the dynamics will resemble that of the Keller-Segel model due to the presence of the interesting nonlinear terms. Also, in this thesis, we have only looked at the fluid-like state of the system. We have just started exploring the high concentration regime where we can check the propensity of the system to develop crystalline order. In the screened limit where we obtain a condensation due a negative squared sound speed, it is posssible to study the condensation phenomenon in greater detail. In future we also plan to examine whether the tendency to condense at nonzero wavenumber (See Fig 5.1), i.e., microphase separation, can lead to liquid-crystalline phases like smectics. The systems described in this thesis are extremely rich and the few ideas mentioned above form just a small subset of the plethora of exciting theoretical and experimental explorations that can be performed with them. Since they can be “designed”, unlike biological substances, they can also become a test-bed for testing theoretical predictions of the nonequilibrium statistical mechanics of self-propelled systems.

En chimiotaxie, le modèle parabolique-parabolique classique de Keller-Segel en dimension d décrit l’évolution en temps de la densité d'une population de cellules et de la concentration d'un attracteur chimique. Cette thèse porte sur l’étude des équations de Keller-Segel parabolique-parabolique par des méthodes probabilistes. Dans ce but, nous construisons une équation différentielle stochastique non linéaire au sens de McKean-Vlasov dont le coefficient dont le coefficient de dérive dépend, de manière singulière, de tout le passé des lois marginales en temps du processus. Ces lois marginales couplées avec une transformation judicieuse permettent d’interpréter les équations de Keller-Segel de manière probabiliste. En ce qui concerne l'approximation particulaire il faut surmonter une difficulté intéressante et, nous semble-t-il, originale et difficile chaque particule interagit avec le passé de toutes les autres par l’intermédiaire d'un noyau espace-temps fortement singulier. En dimension 1, quelles que soient les valeurs des paramètres de modèle, nous prouvons que les équations de Keller-Segel sont bien posées dans tout l'espace et qu'il en est de même pour l’équation différentielle stochastique de McKean-Vlasov correspondante. Ensuite, nous prouvons caractère bien posé du système associé des particules en interaction non markovien et singulière. Nous établissons aussi la propagation du chaos vers une unique limite champ moyen dont les lois marginales en temps résolvent le système Keller-Segel parabolique-parabolique. En dimension 2, des paramètres de modèle trop grands peuvent conduire à une explosion en temps fini de la solution aux équations du Keller-Segel. De fait, nous montrons le caractère bien posé du processus non-linéaire au sens de McKean-Vlasov en imposant des contraintes sur les paramètres et données initiales. Pour obtenir ce résultat, nous combinons des techniques d'analyse d’équations aux dérivées partielles et d'analyse stochastique. Finalement, nous proposons une méthode numérique totalement probabiliste pour approcher les solutions du système Keller-Segel bi-dimensionnel et nous présentons les principaux résultats de nos expérimentations numériques. / The standard d-dimensional parabolic--parabolic Keller--Segel model for chemotaxis describes the time evolution of the density of a cell population and of the concentration of a chemical attractant. This thesis is devoted to the study of the parabolic--parabolic Keller-Segel equations using probabilistic methods. To this aim, we give rise to a non linear stochastic differential equation of McKean-Vlasov type whose drift involves all the past of one dimensional time marginal distributions of the process in a singular way. These marginal distributions coupled with a suitable transformation of them are our probabilistic interpretation of a solution to the Keller Segel model. In terms of approximations by particle systems, an interesting and, to the best of our knowledge, new and challenging difficulty arises: each particle interacts with all the past of the other ones by means of a highly singular space-time kernel. In the one-dimensional case, we prove that the parabolic-parabolic Keller-Segel system in the whole Euclidean space and the corresponding McKean-Vlasov stochastic differential equation are well-posed in well chosen space of solutions for any values of the parameters of the model. Then, we prove the well-posedness of the corresponding singularly interacting and non-Markovian stochastic particle system. Furthermore, we establish its propagation of chaos towards a unique mean-field limit whose time marginal distributions solve the one-dimensional parabolic-parabolic Keller-Segel model. In the two-dimensional case there exists a possibility of a blow-up in finite time for the Keller-Segel system if some parameters of the model are large. Indeed, we prove the well-posedness of the mean field limit under some constraints on the parameters and initial datum. Under these constraints, we prove the well-posedness of the Keller-Segel model in the plane. To obtain this result, we combine PDE analysis and stochastic analysis techniques. Finally, we propose a fully probabilistic numerical method for approximating the two-dimensional Keller-Segel model and survey our main numerical results.

Dans cette thèse, j'étudie des équations aux dérivées partielles qui modélisent des phénomènes biologiques.Dans la première partie, je m'intéresse à une variante des équations de Keller-Segel qui modélise la chimiotaxie des micro-organismes et vise à expliquer la façon dont des colonies bactériennes s'auto-organisent et forment, en fonction de la quantité de nutriments disponibles, différents motifs géométriques. Pour le modèle en question, je construis des solutions et j'étudie leur comportement en temps long. Je montre que certaines solutions explosent en temps fini.Dans la deuxième partie, je m'intéresse au modèle Intègre et tire avec bruit et fuite non-linéaire, une équation de type Fokker-Planck qui décrit l'activité d'un réseau de neurones. J'améliore certaines estimées sur l'existence globale et l'explosion en temps fini et je démontre des résultats pour une variante du modèle avec un délai synaptique : existence globale, comportement en temps long, recherche de solutions périodiques.Dans la troisième partie, je propose une modélisation d'abord stochastique, ensuite déterministe, pour le phénomène d'adaptation des dommages à l'ADN chez les eucaryote. Des simulations numériques sont proposées et commentées. / In this thesis, I study some partial differential equations modelling biological phenomena.In the first part, I am concerned with a variant of the Keller-Segel equations which models chemotaxis in microorganisms and aims at understanding the way they self-organise and form, depending upon the density of nutrients, different geometrical patterns. For this model, I construct solutions and I study their long time behaviour. I show that some solutions blow-up in finite time.In the second part, I study the model Nonlinear Noisy leaky integrate and fire, a Fokker-Planck type equation which describes the activity of a neural network. I upgrade some estimates on global existence and finite time blow-up and I prove results for a variant of the model in which a synaptic delay is added : global existence, long time behaviour, search of periodic solutions.In the third part, I propose a stochastic model, and then a deterministic model, for the phenomenon of adaptation to DNA damage in eukaryotes. Numerical simulations are proposed and discussed.

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