ERC FUNDED PROJECTS

Collective behaviour is a widespread phenomenon in nature and technology making it a very important subject to study in various contexts. The main goal we intend to achieve in our multidisciplinary research is the identification and documentation of new unifying principles describing the essential aspects of collective motion, being one of the most relevant and spectacular manifestations of collective behaviour. We shall carry out novel type of experiments, design models that are both simple and realistic enough to reproduce the observations and develop concepts for a better interpretation of the complexity of systems consisting of many organisms and such non-living objects as interacting robots. We plan to study systems ranging from cultures of migrating tissue cells through flocks of birds to collectively moving devices. The interrelation of these systems will be considered in order to deepen the understanding of the main patterns of group motion in both living and non-living systems by learning about the similar phenomena in the two domains of nature. Thus, we plan to understand the essential ingredients of flocking of birds by building collectively moving unmanned aerial vehicles while, in turn, high resolution spatiotemporal GPS data of pigeon flocks will be used to make helpful conclusions for the best designs for swarms of robots. In particular, we shall construct and build a set of vehicles that will be capable, for the first time, to exhibit flocking behaviour in the three-dimensional space. The methods we shall adopt will range from approaches used in statistical physics and network theory to various new techniques in cell biology and collective robotics. All this will be based on numerous prior results (both ours and others) published in leading interdisciplinary journals. The planned research will have the potential of leading to ground breaking results with significant implications in various fields of science and technology.

1 248 000 €

Start date: 2009-03-01, End date: 2015-02-28

Cancer care will be revolutionized over the next decade by the introduction of novel therapeutics that target the underlying molecular mechanisms of the disease. With the advent of human genetics, a plethora of genes have been correlated with human diseases such as cancer the SNP maps. Since the sequences are now available, the next big challenge is to determine the function of these genes in the context of the entire organism. Genetic animal models have proven to be extremely valuable to elucidate the essential functions of genes in normal physiology and the pathogenesis of disease. Using gene-targeted mice we have previously identified RANKL as a master gene of bone loss in arthritis, osteoporosis, and cancer cell migration and metastases and genes that control heart and kidney function; wound healing; diabetes; or lung injury Our primary goal is to use functional genomics in Drosophila and mice to understand cell transformation, invasion, and cancer metastases of epithelial tumors. The following projects are proposed: 1. Role of the key osteoclast differentiation factors RANKL-RANK and its downstream signalling cascade in the development of breast and prostate cancer. 2. Requirement of osteoclasts for bone metastases and stem cell niches using a new RANKfloxed allele; function of RANKL-RANK in local tumor cell invasion. 3. Role of RANKL-RANK in the central fever response to understand potential implications of future RANKL-RANK directed therapies. 4. Integration of gene targeting in mice with state-of-the art technologies in fly genetics; use of whole genome tissue-specific in vivo RNAi Drosophila libraries to identify essential and novel pathways for cancer pathogenesis using whole genome screens. 5. Role of TSPAN6, as a candidate lung metastasis gene. Identification of new cancer disease genes will allow us to design novel strategies for cancer treatment and will have ultimately impact on the basic understanding of cancer, metastases, and human health.

2 499 465 €

Start date: 2009-01-01, End date: 2013-12-31

The goal of this project is to study conformally invariant fractal structures from the perspectives of analysis, dynamics, probability, geometry and physics, emphasizing interrelations of these fields. In the last two decades such structures emerged in several areas: continuum scaling limits of 2D critical models in statistical physics (percolation, Ising model); extremal configurations for various problems in complex analysis (multifractal harmonic measures, coefficient growth of univalent maps, Brennan's conjecture); chaotic sets for complex dynamical systems (Julia sets, Kleinian groups). Capitalizing on recent successes, I plan to continue my work in these areas, exploiting their interactions and connections to physics. I intend to achieve at least some of the following goals: * To establish that several critical lattice models have conformally invariant scaling limits, by building upon results on percolation and Ising models and finding discrete holomorphic observables. * To study geometric properties of arising fractal curves and random fields by connecting them to Schramm's SLE curves and Gaussian Free Fields. * To investigate massive scaling limits by describing them geometrically with generalizations of SLEs. * To lay mathematical framework behind relevant physical notions, such as Coulomb Gas (by relating height functions to GFFs) and Quantum Gravity (by identifying limits of random planar graphs with Liouville QGs). * To improve known bounds in several old questions in complex analysis by studying multifractal spectra of harmonic measures. * To estimate extremal behavior of such spectra by using holomorphic motions of (quasi) conformal maps and thermodynamic formalism. * To understand nature of extremal multifractals for harmonic measure by studying random and dynamical fractals. The topics involved range from century old to very young ones. Recently connections between them started to emerge, opening exciting possibilities for new developments in some long standing open problems.

1 278 000 €

Start date: 2009-01-01, End date: 2013-12-31

Cooperation poses a problem to evolutionary theory because it can be exploited by selfish individuals. Evolutionary biologists have developed a detailed theoretical overview of possible solutions to the problem of cooperation. In contrast to our theoretical understanding of potential solutions, however,, we have been relatively unsuccessful at applying theory to understand observations of cooperative behaviour nature. We present a novel and interdisciplinary programme of research to address this problem by empirically testing assumptions and predictions of several leading explanations for cooperation. We will develop theory to make explicit testable predictions for specific systems. We will exploit the advantage offered by different study systems: experiments with bacteria, comparative studies on cooperative breeding vertebrates, and experiments on humans. In addition to addressing specific hypotheses, we will show how evolutionary theory links and differentiates explanations for cooperation across various taxa and levels of biological organization.

1 200 000 €

Start date: 2009-10-01, End date: 2015-09-30