Quantitative Biology of Metabolism: Models of Metabolism, by A. Locker (auth.), A. Locker (eds.)

By A. Locker (auth.), A. Locker (eds.)

The improvement of the existence sciences should be stated to have effected a gentle transition from a roughly intuitive prescientific technique according to crude commentary, through a extra sophisticated form of statement to experimentation and for this reason to the extent of formal theories. Quantitative tools are brought on the moment point; they contain: (a) quantitative layout of experiments; (b) regrouping of experimental effects; (c) evalua­ tion of effects through mathematical or unique statistical thoughts. The final step implies the creation of theoretical innovations, yet we aren't justified in conversing of theoretical technology until real theoretical con­ siderations-models or hypotheses-precede test, and this can be then through an try to hyperlink effects with conception on the way to ensure the idea. Biology at this time turns out to lie someplace among the second one and 3rd point pointed out above, no longer but having accomplished the prestige of a theoretical technological know-how in all its branches. hence, even though the necessity for quantification and mathematical formula is widely known, many biologists nonetheless think that e.g. basic structures concept is simply too summary to be of use in dealing with concrete difficulties. these, although, who glance seriously at this time scenario can't undertake this attitude.

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The possibility of DNA replication may be prepared during G 1 period. Fig. 2 is a result of our hybrid computation. The constant values kl' k 3 , k 20 , k21' k 40 , k 41 , Xe,Ye, He and Ve are selected so as to present reasonable values for the interval of the periods G 1, S, G 2 and M. Looking at the curves we find the period M to be longer so that other sets of constant values have to be looked for. L. ·l. k2' =2. 2L. 2. L. 2 Fig. 2. 24 The mathematical model considered here is only a preliminary one and the molecular nature of the signals of mitosis and DNA duplication must be clarified.

WYMAN and J. CHANGEUX: ]. Mol. BioI. 12, 88 (1965). 2. , and D. ]. 7,441 (1967). 3. , R. PARKER and M. YeAS: ]. Theor. BioI. 15, 208 (1967). 4. YATES, R. , and A. B. PARDEE: ]. BioI. Chern. 221, 757 (1956). DisCtlssion BETZ: You certainly know the model proposed by HIGGINS to explain glycolytic oscillations which is based on PFK being inhibited by its substrate A TP and activated by the product FDP and by AMP, too, and, most efficiently, by F-6-P. Would this model be able to produce such step functions as yours does?

HEINMETS [2] has proposed an interesting but rather complicated model for cell division or DNA duplication. Therefore, it is not yet clear whether the method we described above is nothing but a simplification of HEINMETS'. Quantitatively the assumption of (6) is also not accurate; that means that the validity of the selected constants is also limited. Interaction of a Digital System with a Continuous One in the Cell 37 Acknowledgment Through kindness of the late Professor JINBO the analogue computer of the Meiji University was used for this study.

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