Towards a more universal model of phyllotaxis

التفاصيل البيبلوغرافية
العنوان: Towards a more universal model of phyllotaxis
المؤلفون: Roger V. Jean
المصدر: Mathematical Modelling. :734-739
بيانات النشر: Published by Elsevier B.V.
مصطلحات موضوعية: 0106 biological sciences, 0303 health sciences, General Mathematics, vascular plant, Phyllotaxis, hierarchy, 01 natural sciences, Universal model, 03 medical and health sciences, Theoretical physics, alga, telome theory, Phenomenon, Complete theory, entropy, Mathematical economics, Differential growth, Engineering(all), 030304 developmental biology, 010606 plant biology & botany, Mathematics
الوصف: After a decade of mathematical explanatory modelling of the phenomenon of the spiral patterns seen on plants, that is phyllotaxis, the aim of this symposium is to give further impulses towards a complete solution of the problem. Future developments will come from a better integration of the various aspects of the problem — cellular, epidermic, vascular, anatomical, physiological, mathematical — from a massive introduction of the ideas related to differential growth and allometry, and from the study of aberrant cases by which more or less valid hypotheses can be rejected. For example spiromonostichy is a genuine puzzle: it invalidates Hofmeister's rule on which all the mechanistic theories and models of phyllotaxis are based. This report stresses the importance of higher levels of universality by which the ideas and concepts of the actual theories and models will be generalized, in order to show the limits of their validity, to give more inclusive results, and more logical solutions. This author thinks that a more complete theory of phyllotaxis will be worked out by an interpretative approach by which the phenomenon of phyllotaxis will be interpreted in terms of its ultimate effect. He has made some progress in that direction by assuming that 1) the ultimate effect is the minimization of the entropy of the plants, 2) the primordia form a hierarchical or multilevel system, and 3) the phenomenon of phyllotaxis is first of all an evolutionary problem. It will be shown that the model he developed produces some of the expected generalizations.
اللغة: English
تدمد: 0270-0255
DOI: 10.1016/0270-0255(87)90681-6
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0656120b699efe8ee1f1c3bc1882c80c
Rights: OPEN
رقم الانضمام: edsair.doi.dedup.....0656120b699efe8ee1f1c3bc1882c80c
قاعدة البيانات: OpenAIRE
الوصف
تدمد:02700255
DOI:10.1016/0270-0255(87)90681-6