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• W2377893610 abstract "Before discussing models in photomorphogenesis it is necessary to give a brief outline of the general uses and limitations of mathematical models in investigat­ ing the mechanisms of biological phenomena (see also FUKSHANSKY and MOHR 1980). The use of mathematical models is an attempt to apply quantitative descrip­ tions of phenomena to situations which lack precise information. This method can become very successful within a combined study of a complex phenomenon, however, only if applied correctly. The basic properties of mathematical models are presented in Fig. 1. First of all, the analysis of a mathematical model must give consequences of underly­ ing statements, which are not obvious, i.e., cannot be obtained on the basis of the same statements by means of qualitative reasoning only. In order to build a model one must have a set of firmly established facts (set F in Fig. 1). This set has to be divided into two subsets (F 1 and F 2). Subset F 1, with the possible addition of supplementary statements, underlies the model; subset F 2 is to be compared with results of its analysis [i.e., with non-obvious (N.C.) and obvious (O.C.) consequences]. In photomorphogenesis F 1 usually contains data of spectrophotometrical in vivo and in vitro measure­ ments, while F 2 contains results concerning physiological responses (such subdi­ vision is, however, not obligatory). The statements to be added to subset F 1 can be conditionally divided into two classes: plausible assumptions (P.A.) and arbitrary postulates (A.P.) (the first being statements about properties which are likely, but not firmly established, the second group statements which cannot be supported by experimental findings to any degree). The third property can be formulated half-quantitatively: IP.A·I+IA.P·I~IN .C·I +IO·C.I, i.e., the number of statements underlying the model must be considerably less than that of statements derived from the model. This requirement is obvious in an extreme case: nobody is permitted to make an assumption for each ex­ plained fact. Here occurs, in a natural way, the concept of a minimal model, i.e., the model containing a minimal number of P.A. and A.P. Results of model analysis can contain not only statements about facts from F b but also other statements which cannot be confronted with known facts. These statements about supposed new properties, or predictions (P) are most" @default.
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• W2377893610 title "5 Models in Photo morphogenesis" @default.
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