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Rivers can be treated as transportation networks which supply or collect and remove certain resources from the surrounding environment. A positive feedback between environment and river network both reshapes the configuration of the terrain and produces dynamically stable web of river channels. Anastomosing rivers exemplify such interactions very clearly. In case of this specific type of river, nutrients carried by water disseminate to the surrounding soil and stimulate growth of peat-forming plants. Vertical accumulation of peats changes the shape of terrain and influence river network. We present a model of anastomosing river system based on Cellular Automata paradigm. Principal phenomena that contribute to evolution of such a river system are encoded as rules of local interactions. We discuss extensively the parameters and their influence on simulation results. [ABSTRACT FROM AUTHOR]

This paper presents a new framework for modelling tumour-induced angiogenesis. Classical Cellular Automata approach is employed to model cellular and intracellular processes that occur in cancer tissue and neighbourhood. Vascular system is modelled by using Graph of Cellular Automata, which combines graph theory with Cellular Automata paradigm. A new model is proposed as a starting point for further investigations on multiscale model covering wide range of spatio-temporal scales including blood flow processes. The basis of the model with the algorithms are presented. Preliminary results with short discussion are also included. [ABSTRACT FROM AUTHOR]

Anastomosing network describes a blundering, irregular network composed of branches and divergent and convergent knots. Anastomosing river system is an example of such network in nature. We present concepts of numerical models of anastomosing river basing on cellular automata paradigm. Our first model is an extension of previously developed model of water flow, about the elements connected with phenomena characteristic for anastomosing river. Due to its limitations the another have been introduced, in which we enhance the utilization of cellular automata paradigm by defining a new structure: graph of cellular automata. We present the results obtained by using the both models. [ABSTRACT FROM AUTHOR]