Approximations and their consequences for dynamic modelling of signal transduction pathways

Signal transduction is the process by which the cell converts one kind of signal or stimulus into another. This involves a sequence of biochemical reactions, carried out by proteins. The dynamic response of complex cell signalling networks can be modelled and simulated in the framework of chemical kinetics. The mathematical formulation of chemical kinetics results in a system of coupled differential equations. Simplifications can arise through assumptions and approximations. The paper provides a critical discussion of frequently employed approximations in dynamic modelling of signal transduction pathways. We discuss the requirements for conservation laws, steady state approximations, and the neglect of components. We show how these approximations simplify the mathematical treatment of biochemical networks but we also demonstrate differences between the complete system and its approximations with respect to the transient and steady state behavior

Correlative scanning and transmission electron microscopic study on the ependymal surface of Bradypus Tridactylus

Topographical variations of the ependymal surface of the whole brain ventricular system of Bradypus tridactylus were studied at the scanning electron microscope after CO2 critical point drying and carbon-gold coating. Certain selected areas were also studied at the transmission electron microscope, following standard technical procedures. We observed distinct patterns in the distribution of cilia, microvilli and supraependymal structures (nerve-like and fibrous astrocyte fibers), and also a small number of blebs. It the lateral transition zone between the floor and roof of the lateral ventricle were found interconrected stellate bulgings measuring an average 98 x 190 mm, constituted by a complex meshwork of processes from fibrous astrocytes, without ependymal lining and with few cell bodies. In the junction between these formations and the underlying neuropil, ciliated ependymal-cell-like glial cells were found to delimit complex labyrinthic spaces. Based on the morphological findings, morpho-functional considerations are made