MATHEMATICAL-PHYSICAL MODELING OF DYNAMICAL PROCESS OF PLANT'S GROWTH, DEVELOPMENT AND EVOLUTION
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Bibliographic record
Abstract
Since the middle of the 20-th century, a new interdisciplinary subject is gradually formed at the edge of fields of biology and physics, mechanics and mathematics, the so-called mathematical biology. It treats the biological, living system as a complex dynamics system and aims at a thorough research from the angle of applied mathematics. The topics currently investigated in mathematical biology are far beyond the area of bio-mechanics that people are familiar with. The rapid growth of this subject profoundly changed the feature of the ancient, traditional that is mainly dealing biology with the observations, classifications and experiments as its characteristics. The aim of this article attempts to introduce and discuss a research direction, in mathematics biology -mathematical physical modeling studies of growth, development and evolution of the plant system. It is evident that such a research direction is vital both theoretically and practically. In doing so, the article briefly reviews the research activities along this direction in China and in other countries during the recent years, elucidates the essential differences between the dynamical mathematical modeling, statistical modeling and computer simulation, which have been applied in the investigations of this subject. The present article further selects the topic of growth of the plant root system as the break-through point of the investigation. It demonstrates that by treating the system of root growth as a thermo-dynamical open system, based on the principles of irreversible thermo-dynamics, plant cytology and physiology, combining the microstructure of the plant internal organization, one may establish a system of governing differential equations, that properly describes the macroscopic transport processes of the internal materials, energy and signals in the system. Through solving these equations with the powerful methods of nonlinear science and applied mathematics, and comparing the theoretical results obtained with the experimental observations, one may more deeply explore and better understand the mechanisms of up-taking process of water and nutrients from the environment throught the root system, as well as the various instability and bifurcation phenomena of biological interface during the root growth.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it