The Mathematics and Mechanics of Biological Growth

2017 ◽  
Author(s):  
Alain Goriely
Keyword(s):  
Biological Growth

scholarly journals Characterisation of biological growth curves of different varieties of an endangered native hen breed kept under free range conditions

2021 ◽  
Vol 20 (1) ◽  
pp. 806-813
Author(s):  
Antonio González Ariza ◽  
Sergio Nogales Baena ◽  
Teresa Marta Lupi ◽  
Ander Arando Arbulu ◽  
Francisco Javier Navas González ◽  
...  
Keyword(s):  
Growth Curves ◽  
Biological Growth ◽  
Free Range

Growth of Japanese Fetuses -Analysis from the Viewpoint of Population and Biological Growth Curves-

1987 ◽  
Vol 29 (2) ◽  
pp. 229-232 ◽  
Author(s):  
Takako Yamada ◽  
Hiroshi Nishida ◽  
Kiyoko Yamaguchi ◽  
Shoichi Sakamoto ◽  
Masamichi Sakanoue
Keyword(s):  
Growth Curves ◽  
Biological Growth

scholarly journals Perceiving Biological Growth and Other Non-Rigid Transformations

2016 ◽  
Vol 16 (12) ◽  
pp. 949
Author(s):  
Filipp Schmidt ◽  
Roland Fleming
Keyword(s):  
Biological Growth ◽  
Rigid Transformations

Computer simulation of adaptive biological growth

1992 ◽  
Vol 25 (7) ◽  
pp. 780 ◽  
Author(s):  
C. Mattheck
Keyword(s):  
Computer Simulation ◽  
Biological Growth

Structural analysis of spherical pressure hull viewport for manned submersibles using biological growth method

2018 ◽  
Vol 13 (6) ◽  
pp. 601-616 ◽  
Author(s):  
Pranesh SB ◽  
Deepak Kumar ◽  
Anantha Subramanian V ◽  
Sathianarayanan D ◽  
Ramadass GA
Keyword(s):  
Structural Analysis ◽  
Biological Growth ◽  
Growth Method ◽  
Spherical Pressure

On the mechanistic foundation and limit of Liebig’s law of the minimum

2021 ◽  
Author(s):  
Jinyun Tang ◽  
William Riley
Keyword(s):  
Additive Model ◽  
Additive Models ◽  
Mass Action ◽  
Substrate Uptake ◽  
Law Of Mass Action ◽  
Growth Data ◽  
Biological Growth ◽  
Elemental Stoichiometry ◽  
The Law ◽  
Parameter Values

<p>In ecosystem biogeochemistry, Liebig’s law of the minimum (LLM) is one of the most widely used rules to model and interpret biological growth. Although it is intuitively accepted as being true, its mechanistic foundation has never been clearly presented. We here first show that LLM can be derived from the law of mass action, the state of art theory for modeling biogeochemical reactions. We further show that there are (at least) another two approximations (the synthesizing unit (SU) model and additive model) that are more accurate than LLM in approximating the law of mass action. We then evaluated the LLM, SU, and additive models against growth data of algae and plants. For algae growth, we found all three models are equally accurate, albeit with different parameter values. For plants, LLM failed to accurately model one dataset, and achieved equally good results for other datasets with very different parameters. We also find that LLM does not allow flexible elemental stoichiometry, which is an oft-observed characteristic of plants, when an organism’s growth is modeled as a function of substrate uptake flux. In summary, we caution the use of LLM for modeling biological growth if one is interested in representing the organisms’ capability in adapting to different nutrient conditions.   </p> <p><br /><br /></p>

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