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A new model for biological growth is introduced that couples the geometry of an organism (or part of the organism) to the flow and deposition of material. The model has three dynamical variables (a) a Riemann metric tensor for the geometry,…

Biological Physics · Physics 2010-10-05 Julia Pulwicki , David Hobill

Measurements of cell size dynamics have established the adder principle as a robust mechanism of cell size homeostasis. In this framework, cells add a nearly constant amount of size during each cell cycle, independent of their size at…

Quantitative Methods · Quantitative Biology 2026-01-01 Sayeh Rezaee , Cesar Nieto , Abhyudai Singh

In this paper we analyse a differential system related to a Glioblastoma growth. Using numerical simulations, we prove that model captures different kind of growth changing adequately the parameters of the model. Firstly, we make an…

Analysis of PDEs · Mathematics 2021-09-21 A. Fernández-Romero , F. Guillén-González , A. Suárez

We present a whole-body model of human metabolism that utilizes a system of organs and blood vessels to simulate the enzymatic reactions. The model focuses on key organs, including the brain, heart and lungs, liver, gut, and kidney, as well…

Quantitative Methods · Quantitative Biology 2023-08-01 Jacob Bendsen , Peter Emil Carstensen , Asbjørn Thode Reenberg , Tobias K. S. Ritschel , John Bagterp Jørgensen

Tree-size distribution is one of the most investigated subjects in plant population biology. The forestry literature reports that tree-size distribution trajectories vary across different stands and/or species, while the metabolic scaling…

Populations and Evolution · Quantitative Biology 2012-12-04 Tommaso Anfodillo , Marco Carrer , Filippo Simini , Ionel Popa , Jayanth R. Banavar , Amos Maritan

Biological systems operate under simultaneous energetic and informational constraints, yet direct evidence that such constraints shape real metabolic networks is limited. The Network-Weighted Action Principle predicts that networks under…

Molecular Networks · Quantitative Biology 2026-05-08 Martin G. Frasch

The metabolism is the motor behind the biological complexity of an organism. One problem of characterizing its large-scale structure is that it is hard to know what to compare it to. All chemical reaction systems are shaped by the same…

Molecular Networks · Quantitative Biology 2011-05-10 Petter Holme , Mikael Huss , Sang Hoon Lee

Metabolism is a fascinating cell machinery underlying life and disease and genome-scale reconstructions provide us with a captivating view of its complexity. However, deciphering the relationship between metabolic structure and function…

Molecular Networks · Quantitative Biology 2011-09-12 M. Angeles Serrano , Marian Boguna , Francesc Sagues

We extend a previously theory for the interspecific allometric scaling developed in a $d+1$-dimensional space of metabolic states. The time, which is characteristic of all biological processes, is included as an extra dimension to $d$…

Biological Physics · Physics 2008-02-12 Jafferson K. L. da Silva , Lauro A. Barbosa

Living organisms produce metabolites of many types via their metabolisms. Especially, flavonoids, a kind of secondary metabolites, of plant species are interesting examples. Since plant species are believed to have specific flavonoids with…

Populations and Evolution · Quantitative Biology 2015-03-19 Kazuhiro Takemoto

Growth rates and biomass yields are key descriptors used in microbiology studies to understand how microbial species respond to changes in the environment. Of these, biomass yield estimates are typically obtained using cell counts and…

Quantitative Methods · Quantitative Biology 2022-05-02 Antonio R. Paiva , Giovanni Pilloni

Since laws of physics exist in nature, their possible relationship to terrestial growth is introduced. By considering the human body as a dynamic system of variable mass (and volume), growing under a gravity field, it is shown how natural…

Biological Physics · Physics 2008-09-01 E. Canessa

Background. Emerging technologies now allow for mass spectrometry based profiling of up to thousands of small molecule metabolites (metabolomics) in an increasing number of biosamples. While offering great promise for revealing insight into…

Quantitative assessment of the growth of biological organisms has produced many mathematical equations. Many efforts have been given on statistical identification of the correct growth model from experimental data. Every growth equation is…

Methodology · Statistics 2021-02-17 Md Aktar Ul Karim , Supriya Ramdas Bhagat , Amiya Ranjan Bhowmick

The architecture of biological networks has been reported to exhibit high level of modularity, and to some extent, topological modules of networks overlap with known functional modules. However, how the modular topology of the molecular…

Molecular Networks · Quantitative Biology 2007-09-07 Jing Zhao , Guo-Hui Ding , Lin Tao , Hong Yu , Zhong-Hao Yu , Jian-Hua Luo , Zhi-Wei Cao , Yi-Xue Li

We build a model for the hepatic fatty acid metabolism and its metabolic and genetic regulations. The model has two functioning modes: synthesis and oxidation of fatty acids. We provide a sufficient condition (the strong lipolytic…

Cell Behavior · Quantitative Biology 2007-05-23 O. Radulescu , A. Siegel , E. Pecou , S. Lagarrigue

Microbes require several complex organic molecules for growth. A species may obtain a required factor by taking up molecules released by other species or by synthesizing the molecule. The patterns of uptake and synthesis set a flow of…

Populations and Evolution · Quantitative Biology 2014-02-27 Steven A. Frank

Ecological modelling of increasingly more complex microbial populations is necessary to reflect the highly functional and diverse behaviour inherent to many systems found in reality. Anaerobic digestion is one such process that has…

Dynamical Systems · Mathematics 2015-08-24 Tewfik Sari , Matthew J. Wade

Iron is essential for all known life due to its redox properties, however these same properties can also lead to its toxicity in overload through the production of reactive oxygen species. Robust systemic and cellular control are required…

Molecular Networks · Quantitative Biology 2014-03-05 Simon Mitchell , Pedro Mendes

Models in systems biology are mathematical descriptions of biological processes that are used to answer questions and gain a better understanding of biological phenomena. Dynamic models represent the network through rates of the production…

Biomolecules · Quantitative Biology 2020-10-14 Ewelina Weglarz-Tomczak , Jakub M. Tomczak , Agoston E. Eiben , Stanley Brul
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