In its broadest definition, systems biology is the application of a ‘systems’ way of thinking about and doing cell biology [1]. By implication, this also invites us to consider a systems approach in the context of medicine and the treatment of disease. In particular, the idea that systems biology can form the basis of a personalised, predictive medicine [2, 3] will require that much closer atte...

We recover and develop some robotic systems concepts (on the light of present systems tools) that were originated for an intended Mars Rover in the sixties of the last century at the Instrumentation Laboratory of MIT, where one of the authors was involved. The basic concepts came from the specifications for a type of generalized robot inspired in the structure of the vertebrate nervous systems,...

The safe, affordable and effective transfer of ever-larger payloads and eventually personnel beyond Low Earth Orbit (LEO) is a major challenge facing future commercial development and human exploration of space. Without reusable systems, sustained exploration or largescale development beyond LEO appears to be economically non-viable. However, reusable systems must be capable of both good fuel e...

The starting point for this paper is the well known equivalence between convolution filtering with a rescaled Gaussian and the solution of the heat equation. In the first chapters we analyze the equivalence between multiscale convolution filtering, linear smoothing methods based on continuous wavelet transforms and the solutions of linear diffusion equations. I.e. we determine a wavelet ψ, resp...

Di erent axiomatizations of mathematical concepts prove to be useful in a mathematical knowledge base, since each axiomatization of a concept is more or less helpful for the task at hand. To keep the knowledge base consistent, the equivalence of distinct de nitions for some concept must be formally proven. Especially in algebra, where various axiomatizations of an algebraic structure often occu...

Measuring the (dis)similarity of molecules is important for many cheminformatics applications like compound ranking, clustering, and property prediction. In this work, we focus on real-valued vector representations of molecules (as opposed to the binary spaces of fingerprints). We demonstrate the influence which the choice of (dis)similarity measure can have on results, and provide recommendati...

In both human and artificial societies some activities are only allowed to coalitions that satisfy certain criteria, e.g., to sufficiently large coalitions or coalitions which involve players of sufficient seniority. Simmons (1988) formalised this idea in the context of secret sharing schemes by defining the concept of a (disjunctive) hierarchical access structure. The mathematical concept whic...

The notion of interpretation was first carefully defined and developed in the book [TMR53]. The notion of interpretation is absolutely fundamental to mathematical logic and the foundations of mathematics. It is also crucial for the foundations and philosophy of science-although here some crucial conditions generally need to be imposed; e.g., " the interpretation leaves the mathematical concepts...

The last century and the last decade in particular have seen the consolidation and development of a number of strands of systems thinking. The concepts and benefits of a systems approach are now well established and are infiltrating the language and culture of many disciplines and organisations. However the current reality is that systems based words are significantly greater than systems based...

4D variational data assimilation is proposed as an efficient procedure to determine a past configuration of a dynamical system of which only a few (and, under certain hypothesis, even partial) observations and its dynamics are known. The retrieved configuration is in good accordance with the test configuration. The leading mathematical concept, adjoint equations, and the role in the design of a...