In recent years it has been increasingly recognized that biochemical signals are not necessarily constant in time and that the temporal dynamics of a signal can be the information carrier. Moreover, it is now well established that the protein signaling network of living cells has a bow-tie structure and that components are often shared between different signaling pathways. Here we show by mathe...

Author's declaration: aware of legal responsibility I hereby declare that I have written this dis-sertation myself and all the contents of the dissertation have been obtained by legal means. Abstract The process in which a mathematical model of a molecular biological system is formulated and refined helps to articulate hypotheses and thereby supports the design of experiments to validate these ...

factors in bringing about the development of organ systems in plants and animals. From these presentations, the botanist's and zoologist's position on the degree of reversibility of the differentiated state is found to be quite different. Professors J. A. D. Zeevaart and V. B. Wigglesworth describe the pervasive ontogenic influences exerted by hormones on plants and insects. In addition, the ro...

The most common theoretical approach to model the interactions in a biochemical process is through chemical reactions. Often for these reactions, the dynamics of the first M-order statistical moments of the species populations do not form a closed system of differential equations, in the sense that the time-derivatives of first M-order moments generally depend on moments of order higher than M....

This paper presents a stochastic modelling framework for complex biochemical reaction networks from a component-based perspective. Our approach takes into account the discrete character of quantities of participating entities (i.e. the individual populations of the involved chemical species) and the inherent probabilistic nature of microscopic molecular collisions. We collect all instances of o...