abstract: This dissertation features a compilation of studies concerning the biophysics of multicellular systems. I explore eukaryotic systems across length scales of the cell cytoskeleton to macroscopic scales of tissues. I begin with a general overview of the natural phenomena of life and a philosophy of investigating developmental systems in biology. The topics covered throughout this dissertation require a background in eukaryotic cell physiology, viscoelasticity, and processes of embryonic tissue morphogenesis. Following a brief background on these topics, I present an overview of the Subcellular Element Model (ScEM). This is a modeling framework which allows one to compute the dynamics of large numbers of three-dimensional deformable cells in multi-cellular systems. A primary focus of the work presented here is implementing cellular function within the framework of this model to produce biologically meaningful phenotypes. In this way, it is hoped that this modeling may inform biological understanding of the underlying mechanisms which manifest into a given cell or tissue scale phenomenon. Thus, all theoretical investigations presented here are motivated by and compared to experimental observations. With the ScEM modeling framework I first explore the passive properties of viscoelastic networks. Then as a direct extension of this work, I consider the active properties of cells, which result in biological behavior and the emergence of non-trivial biological phenotypes in cells and tissues. I then explore the possible role of chemotaxis as a mechanism of orchestrating large scale tissue morphogenesis in the early embryonic stages of amniotes. Finally I discuss the cross-sectional topology of proliferating epithelial tissues. I show how the Subcellular Element Model (ScEM) is a phenomenological model of finite elements whose interactions can be calibrated to describe the viscoelastic properties of biological materials. I further show that implementing mechanisms of cytoskeletal remodeling yields cellular and tissue phenotypes that are more and more biologically realistic. Particularly I show that structural remodeling of the cell cytoskeleton is crucial for large scale cell deformations. I provide supporting evidence that a chemotactic dipole mechanism is able to orchestrate the type of large scale collective cell movement observed in the chick epiblast during gastrulation and primitive streak formation. Finally, I show that cell neighbor histograms provide a potentially unique signature measurement of tissue topology; such measurements may find use in identifying cellular level phenotypes from a single snapshot micrograph. / Dissertation/Thesis / Ph.D. Physics 2011

Ce travail présente un modèle théorique de morphogenèse animale, sous la forme d’un système complexe émergeant de nombreux comportements, processus internes, expressions et interactions cellulaires. Son implémentation repose sur un automate cellulaire orienté système multi-agents avec un couplage énergico-génétique entre les dynamiques cellulaires et les ressources.Notre objectif est de proposer des outils permettant l’étude numérique du développement de tissus cellulaires à travers une approche hybride (discrète/continue et qualitative/quantitative) pour modéliser les aspects génétiques, énergétiques et comportementaux des cellules. La modélisation de ces aspects s’inspire des principes de la théorie de la viabilité et des données expérimentales sur les premiers stades de division de l’embryon du poisson-zèbre.La théorie de la viabilité appliquée à la morphogenèse pose cependant de nouveaux défis en informatique pour pouvoir implémenter des algorithmes dédiés aux dynamiques morphologiques. Le choix de données biologiques pertinentes à considérer dans le modèle à proposer, la conception d’un modèle basé sur une théorie nouvelle, l’implémentation d’algorithmes adaptés reposant sur des processeurs puissants et le choix d’expérimentations pour éprouver nos propositions sont les enjeux fondamentaux de ces travaux. Les hypothèses que nous proposons sont discutées au moyen d’expérimentations in silico qui ont porté principalement sur l’atteignabilité et la capturabilité de formes de tissus ; sur la viabilité de l’évolution d’un tissu pour un horizon de temps ; sur la mise en évidence de nouvelles propriétés de tissus et la simulation de mécanismes tissulaires essentiels pour leur contrôlabilité face à des perturbations ; sur de nouvelles méthodes de caractérisation de tissus pathologiques, etc. De telles propositions doivent venir en appoint aux expérimentations in vitro et in vivo et permettre à terme de mieux comprendre les mécanismes régissant le développement de tissus. Plus particulièrement, nous avons mis en évidence lors du calcul de noyaux de viabilité les relations de causalité ascendante reliant la maintenance des cellules en fonction des ressources énergétiques disponibles et la viabilité du tissu en croissance. La dynamique de chaque cellule est associée à sa constitution énergétique et génétique. Le modèle est paramétré à travers une interface permettant de prendre en compte le nombre de coeurs à solliciter pour la simulation afin d’exploiter la puissance de calcul offerte par les matériels multi-coeurs. / This work presents a theoretical model of animal morphogenesis, as a complex system from which emerge cellular behaviors, internal processes, interactions and expressions. Its implementation is based on a cellular automaton oriented multi-agent system with an energico-genetic coupling between the cellular dynamics and resources. Our main purpose is to provide tools for the numerical study of tissue development through a hybrid approach (discrete/continuous and qualitative/quantitative) that models genetic, behavioral and energetic aspects of cells. The modeling of these aspects is based on the principles of viability theory and on experimental data on the early stages of the zebrafish embryo division. The viability theory applied to the morphogenesis, however, raises new challenges in computer science to implement algorithms dedicated to morphological dynamics. The choice of relevant biological data to be considered in the model to propose, the design of a model based on a new theory, the implementation of suitable algorithms based on powerful processors and the choice of experiments to test our proposals are fundamental issues of this work. The assumptions we offer are discussed using in silico experiments that focused on the reachability and catchability of tissue forms ; on the viability of the evolution of a tissue for a time horizon ; on the discovery of new tissue properties and simulation of tissue mechanisms that are fondamental for their controllability face to disruptions ; on new pathological tissue characterization methods, etc. Such proposals must come extra to support experiments in vitro and in vivo and eventually allow a better understanding of the mechanisms governing the development of tissues.In particular, we have highlighted through the computing of viability kernels the bottom causal relationship between the maintenance of cells according to available energy resources and the viability of the tissue in growth. The model is set through an interface that takes into account the number of cores to solicit for simulation in order to exploit the computing power offered by multicore hardware.