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In recent years, the analysis of cell signalling systems through data-based models in ordinary differential equations (ODE) or other paradigms (e.g. stochastic models) has emerged as an invaluable tool to understand the underlying complexity of the protein interactions happening in cellular signal t ...

An equation to account for the shear strength of unsaturated soils is proposed in this paper. This equation is defined as the equivalent stress, and is an extension of Murray’s equation. This approach applies to the general case of bi-modal structured soils showing a macrostructure and microstructur ...

For integers r ≥ 2, g ≥ 3 and χ ≥ 2, an (r, g, χ)-graph is an r-regular graph with girth g and chromatic number χ. Such a graph of minimum order is called an (r, g, χ)-cage. Here we prove the existence of (r, g, χ)-graphs for all r and even g when χ = 2 and for all r and g when χ = 3. Furthermore, u ...