PubMed · 3715520
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1986. Optical methods in cell physiology.. https://pubmed.ncbi.nlm.nih.gov/3715520/
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The effect of extracellular stimulation on excitable tissue is evaluated using analytical models. Primary emphasis is placed on the determination of the rate of rise of the membrane potential in response to subthreshold stimulation. Three models are studied: 1) a spherical cell in a uniform electric field, 2) an infinite cylindrical fiber with a point source stimulus, and 3) a finite length cable with sealed ends and a stimulus electrode at each end. Results show that the rate of rise of the transmembrane potential was more rapid than the step response of a space-clamped membrane for all geometries considered. The response of the cylindrical fiber to extracellular stimulation is compared to previously reported studies of the cylindrical fiber response to intracellular stimulation. It is found that the location of the stimulus has little effect on the infinite fiber response. For terminated cables, however, an accurate model of stimulus response must discriminate between intracellular and extracellular stimulation.
Biological and biomedical tissues and organs represent very complex and highly dynamic systems. The problem to model such complex systems is twofold. First, it is necessary to identify and describe the biological properties and the connecting control mechanisms of the studied system and its subparts. Here, biological knowledge is often missing. Secondly, we are confronted with the problem to formulate the model of the control structure in a form that allows model analysis. Here, a normal mathematical formalism is often inadequate. To solve these modelling problems and to develop methods for building models of complex control structures that will enable the formulation of dynamic systems in biology, a framework for building such models is presented. The model framework is here mainly used for studies of dynamic cell structures, but the possible application areas are more general. An example is given for modelling cell structures of epithelial tissues in the intestine.
The term vitamin D includes various chemical species. Vitamin D3 a true endogenous or alimentary prohormone is converted into its main metabolite, calcitriol, by successive hydroxylations in the liver in position 25 and in the kidney in position 1, the production of which is controlled by several factors including parathyroid hormone, blood calcium and phosphorus or insulin as well as by the metabolites of the hormone itself. It controls the synthesis of numerous peptides by acting on gene expression. Indeed, several structural proteins are involved including procollagen alpha 1l, core protein of proteoglycans, diverse regulatory peptides such as protooncogene c-myc and growth factors, "Tumor Necrosis Factor or TNF" and "Nerve Growth Factor or NGF" or hormones such as parathyroid hormone, and finally constitutive proteins of the mineralized tissues such as osteonectin, osteocalcin, osteopontin and calbindins. Therefore, it modulates very different cellular processes. It acts via a nuclear receptor the structure and function of which have been investigated by genetic engineering (cloning of genes encoding for the receptor and hormono-dependent peptides, transfection assays, directed mutagenesis). Actual studies investigate its role in the formation of the complex for transcription initiation near ADN sites, the "Vitamin D Responsive Element or VDRE", located upstream vitamin D-responsive genes and approximately RNA polymerase II. The receptor, which is present in many cell types at various concentrations, would determine spatial and temporal patterns of calcitriol action during development in conjunction with chromatin factors.