The current study aims to investigate the relative contributions of each of the processes that govern airway smooth muscle mechanical behaviour. Studies have shown that breathing dynamics have a substantial effect on airway constriction in healthy and diseased subjects, yet little is known about the dynamic response of the main instigator of airway constriction, Airway Smooth Muscle (ASM). In this work several models are developed to further the understanding of ASM dynamics, particularly the roles and interactions of the three dominant processes in the muscle: contractile dynamics, length adaptation and passive dynamics. Three individual models have been developed, each describing a distinct process or structure within the muscle. The first is a contractile model which describes the contractile process and the influence of external excitation on contractile behaviour. The second model incorporates the contractile model to describe length adaptation, which includes the reorganisation and polymerisation of contractile elements in response to length changes. The third model describes the passive behaviour of the muscle, which entails the mechanical behaviour of all non-contractile components and processes. As little data on the passive dynamics of the muscle was available in the literature, a number of experiments were conducted to investigate relaxed ASM dynamics. The experimental data and mathematical modelling showed that passive dynamics plays not only a dominant role in relaxed ASM, but contributes considerably to the dynamics of contracted muscle as well. A novel theory of sequential multiplication in passive ASM is proposed and implemented in a mathematical model. Experiments and literature validated the model simulations. Further integration of the models and improved force control modelling of length adaptation is proposed for future study. It is likely that the coupling of the models presented here with models describing other airway wall components will provide a more complete picture of airway dynamics, which will be invaluable for understanding respiratory disease.

The current study aims to investigate the relative contributions of each of the processes that govern airway smooth muscle mechanical behaviour. Studies have shown that breathing dynamics have a substantial effect on airway constriction in healthy and diseased subjects, yet little is known about the dynamic response of the main instigator of airway constriction, Airway Smooth Muscle (ASM). In this work several models are developed to further the understanding of ASM dynamics, particularly the roles and interactions of the three dominant processes in the muscle: contractile dynamics, length adaptation and passive dynamics. Three individual models have been developed, each describing a distinct process or structure within the muscle. The first is a contractile model which describes the contractile process and the influence of external excitation on contractile behaviour. The second model incorporates the contractile model to describe length adaptation, which includes the reorganisation and polymerisation of contractile elements in response to length changes. The third model describes the passive behaviour of the muscle, which entails the mechanical behaviour of all non-contractile components and processes. As little data on the passive dynamics of the muscle was available in the literature, a number of experiments were conducted to investigate relaxed ASM dynamics. The experimental data and mathematical modelling showed that passive dynamics plays not only a dominant role in relaxed ASM, but contributes considerably to the dynamics of contracted muscle as well. A novel theory of sequential multiplication in passive ASM is proposed and implemented in a mathematical model. Experiments and literature validated the model simulations. Further integration of the models and improved force control modelling of length adaptation is proposed for future study. It is likely that the coupling of the models presented here with models describing other airway wall components will provide a more complete picture of airway dynamics, which will be invaluable for understanding respiratory disease.

Les nanoparticules d’oxyde de fer ont récemment été envisagées comme outils pour l’ingénierie tissulaire. Elles sont internalisées par les cellules qui deviennent alors magnétiques. Des forces magnétiques peuvent ainsi être appliquées à distance sur ces cellules pour contrôler leur organisation spatiale et temporelle, et former un tissu. Ces applications posent la question du devenir des nanoparticules, qui conditionne in fine leur utilisation clinique. Ce travail s’inscrit dans ce cadre et comporte deux axes.La première partie traite de l’étude des propriétés mécaniques et rhéologiques de tissus biologiques modèles, les agrégats multicellulaires. Une combinaison de méthodes magnétiques est proposée pour fabriquer et stimuler des tissus magnétiques de taille et de forme contrôlées. Ces agrégats magnétiques sont soumis à distance à des contraintes magnétiques d’écrasement. L’étude de leur déformation permet d’explorer des caractéristiques statiques et dynamiques rarement étudiées à l’échelle tissulaire (tension de surface, loi puissance, non linéarité). La deuxième partie se concentre sur l'évolution à moyen terme des nanoparticules dans leur environnement tissulaire, au cœur des agrégats. En combinant ce tissu modèle avec des méthodes de quantification magnétique, nous avons pu mettre en évidence une dégradation massive d’origine endosomale, sans pour autant impacter de manière importante l’homéostasie du fer. De plus, le modèle tissulaire mis en place permet d’étudier la biodégradation intracellulaire de n’importe quel type de nanoparticules. Nous l'avons testé avec des nano-architectures plus complexes: nanocubes, nanodimers, ou nanoparticules magnéto-plasmoniques / Iron oxide nanoparticles are promising candidates for applications in nanomedecine (contrast agents, vectors). They were also recently considered as a powerful tool for tissue engineering. Cells, magnetized through nanoparticules internalization, can be organized in space and time thanks to remote magnetic forces. For all those applications the nanoparticles fate inside the cells remains a key issue concerning the final clinical use. The first part of this work focuses on the study of the mechanical and rheological properties of biological tissue models, the multicellular aggregates. An original magnetic molding method and two different experimental setups were developed to produce aggregates with controlled shapes and sizes, to measure their surface tension and to evidence their power law and non linear behavior.In the second part, we investigate the medium term fate of iron oxide nanoparticles in stem cells forming a spheroid as a model tissue. We reveal a massive endosomal degradation. The set of methods and spheroid model we propose allow a comprehensive and quantitative follow up of the biodegradation of any nanomaterials. This was illustrated by investigating the degradation of nanomaterials with more complex nano-architectures (nanocubes, nanodimers) and assessing the efficiency of a protection strategy to modulate the biodegradation