Analysis of biological processes: Verbal description, by Alfonsas Juška

By Alfonsas Juška

The major problem of the publication is research of organic approaches, the ultimate level of that's mathematical modeling, i.e. quantitative presentation of the approaches in rigorous mathematical phrases. it really is specified for non-mathematicians. Mathematical types could be in comparison with experimental info hence verifying the validity of the types and eventually of the preliminary assumptions and verbal descriptions of the procedures. The versions (usually within the type of mathematical equations) are accomplished painlessly through the schemes summarising verbal description of what's recognized in regards to the approaches. to resolve the equations software program is used. The step by step research ends up in really refined versions a few of them being unique. The booklet is helping the reader to boost extra common method of the issues. it can be precious for skilled readers as well.

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Additional resources for Analysis of biological processes: Verbal description, schemes, and mathematical models

Example text

That may be shocking for those with little experience in modeling. A similar awkward situation may arise with plots in the semi-logarithmic scale. Besides, there is no reason to have such an extension of the abscissa axis that on the graph no change can be seen. There is a good reason to depict the model curves as lines (of any style, colour or weight) without any marker (as made possible by Microsoft Excel) reserving the markers for experimental data. The marker corresponds to the values of both independent and dependent variables (usually time, concentration or the like and the results of the measurements) ensuring an unambiguous presentation of the data on the graphs.

2 Ion Leakage via Cellular Membranes Because of difference in trans-membrane concentrations or electrochemical potentials, ion(s) leak via the membranes. That is illustrated by the cartoon presented in Fig. 3, left. The corresponding scheme on the right ( X symbolizing the state of Cl– ion remaining in the cell, Y , that of the ion leaked from the cell) is similar to that presented in Fig. 1, bottom, left. The model, therefore, is expected to be the same. For experiments, thymic lymphocytes of Wistar rats were used.

A minimal scheme of the pathways of calcium fluxes in intact nonexitable cells maintained in a calcium-free medium is depicted in Fig. 1. , Fig. 1 in Rosado and Sage 2000; Juška et al. 2008). Taking into account the absence of the possibility of calcium influx from the medium to the cytosol and other considerations, the cartoon was simplified (Fig. 1, middle). To better visualize the fluxes depending on the difference in calcium concentrations in the stores and cytosol, the above cartoon is substituted by a hydrodynamic analogue (Fig.

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