By Alfonsas Juška
The major trouble of the ebook is research of organic tactics, the ultimate degree of that is mathematical modeling, i.e. quantitative presentation of the tactics in rigorous mathematical phrases. it really is detailed for non-mathematicians. Mathematical types will be in comparison with experimental info therefore verifying the validity of the types and eventually of the preliminary assumptions and verbal descriptions of the strategies. The types (usually within the kind of mathematical equations) are completed painlessly through the schemes summarising verbal description of what's identified in regards to the techniques. to resolve the equations software program is used. The step by step research ends up in rather subtle types a few of them being unique. The ebook is helping the reader to boost extra normal method of the issues. it can be invaluable for knowledgeable readers as well.
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Additional info for Analysis of biological processes: Verbal description, schemes, and mathematical models
2002). Calcium concentration in cytosol is considerably lower than that in extra-cellular medium or various cellular compartments or organelles. , Pozzan et al. 1994). The dynamics of changes, however, are researched to a much lesser extent. They are difficult to relate to the properties of the molecular devices (when known) and mechanisms responsible for the above changes. , Pozzan et al. 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.
In honeybees an important role is played by pheromones; in the colony, its cohesion depends on the queen pheromones. 2 Transitions 37 Fig. 1). The molecules of the pheromones bound to the surface are considered here to be in state X while those unbound, in state Y. The working scheme leading to the differential equation is shown in the same figure (bottom). The experiments were carried out as follows (Juška 1978). A waxed wire-gauze cage was placed above the brood chamber of a honeybee colony. The cage either contained a live queen or was contaminated with queen pheromones which are attractive to worker bees.
When a biological system transits from one state to another, it can hardly be expected to do so in a single step as binding or unbinding (see Fig. 1; adaptation of microorganisms to a new environment presumably proceeds in multiple steps; the examples are numerous). Unidirectional multi-step transitions (formally) are non-specific differing only by the rates (or proceeding on different time scales). 1007/97894-017-7373-7_4) contains supplementary material, which is available to authorized users.