By Alfonsas Juška
The major predicament of the booklet is research of organic methods, the ultimate degree of that is mathematical modeling, i.e. quantitative presentation of the methods in rigorous mathematical phrases. it really is distinctive for non-mathematicians. Mathematical versions may be in comparison with experimental information hence verifying the validity of the versions and eventually of the preliminary assumptions and verbal descriptions of the strategies. The types (usually within the kind of mathematical equations) are accomplished painlessly through the schemes summarising verbal description of what's identified about the procedures. to unravel the equations software program is used. The step by step research results in relatively subtle versions a few of them being unique. The ebook is helping the reader to advance extra normal method of the issues. it can be beneficial for skilled readers as well.
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Additional info for Analysis of biological processes: Verbal description, schemes, and mathematical models
Since the data of the replicates cannot be considered homogenous, the goodness of the model could not be verified. Experimental data of the present author, Thomas D. Seeley and Hayo H. Velthuis suggesting similar decline in effectiveness of honeybee queen tracks were used in the joint article (Juška et al. 1981). What is involved here, presumably, is rather complex. The queen tracks left on the cage surface result in a certain density in the air near the surface of the track molecules (what is of interest) which are perceived by the worker bees gathered on the cage and weighed (the measurements).
1994; Rizzuto et al. © Springer Science+Business Media Dordrecht 2015 A. 1007/978-94-017-7373-7_5 45 46 5 Non-Controlled Ion Fluxes Between Cellular Compartments 2002) and the variety of mechanisms involved, the necessity of mathematical models is evident; on the other hand, a reasonable simplification of real biological systems is inevitable to make the modeling feasible. Some experimental material concerning the pathways of calcium fluxes in human platelets has been presented by Juška et al. (2005).
No special mathematical knowledge is required to fit the model to the data and to verify its goodness, the general knowledge of mathematics being very useful. No special programs are required, except for the one determining the F-value and the one determining the corresponding probability related to the F-value (the number of independent measurements and the number of model parameters), both tools being supplied with Microsoft Excel. 1 Introduction The problem considered in this chapter concerns comparison of the model with experimental data, its fitting to the data and verification of goodness.
Analysis of biological processes: Verbal description, schemes, and mathematical models by Alfonsas Juška