English
Related papers

Related papers: Metabolic scaling from Fibonacci dynamics

200 papers

Life has a special status, it even has its own science: biology. In many ways, the logic of life seems to differ from that of atoms, molecules, planets, or any other `inanimate object'. However, life is increasingly measured using…

Other Quantitative Biology · Quantitative Biology 2021-12-16 Marc-Antoine Fardin

Standard Spiking Neural Network (SNN) models typically neglect metabolic constraints, treating neurons as energetically unconstrained components. We bridge this gap by implementing a conductance-based leaky integrate-and-fire (gLIF)…

Neurons and Cognition · Quantitative Biology 2025-12-29 Ece Öner , Cenk Denktaş

By means of the concept of balanced estimation of diffusion entropy we evaluate reliable scale-invariance embedded in different sleep stages and stride records. Segments corresponding to Wake, light sleep, REM, and deep sleep stages are…

Disordered Systems and Neural Networks · Physics 2012-11-14 Wenqing Zhang , Lu Qiu , Qin Xiao , Huijie Yang , Qingjun Zhang , Jianyong Wang

Exploiting the mathematical curiosity of intransitive dice, we present a simple theoretical model for co-evolution that captures scales ranging from the genome of the individual to the system-wide emergence of species diversity. We study a…

Populations and Evolution · Quantitative Biology 2022-12-02 Julius B. Kirkegaard , Kim Sneppen

To advance understanding of cellular metabolism and reduce batch-to-batch variability in cell culture processes, this study introduces a multi-scale hybrid modeling framework designed to simulate and predict the dynamic behavior of CHO cell…

Molecular Networks · Quantitative Biology 2025-11-13 Keqi Wang , Sarah W. Harcum , Wei Xie

We examine the modular structure of the metabolic network when combined with the regulatory network representing direct regulation of enzymes by small metabolites in E.coli. In order to identify the modular structure we introduce clustering…

Molecular Networks · Quantitative Biology 2014-01-14 Jan Geryk , Frantisek Slanina

It is suggested that the degree distribution for networks of the cell-metabolism for simple organisms reflects an ubiquitous randomness. This implies that natural selection has exerted no or very little pressure on the network degree…

Biological Physics · Physics 2008-03-05 Petter Minnhagen , Sebastian Bernhardsson

A novel mechanism of reaction-induced active molecular motion, not involving any kind of self-propulsion, is proposed and analyzed. Because of the momentum exchange with the surrounding solvent, conformational transitions in…

Soft Condensed Matter · Physics 2023-04-19 Hiroyuki Kitahata , Alexander S. Mikhailov

Organisms have evolved a variety of mechanisms to cope with the unpredictability of environmental conditions, and yet mainstream models of metabolic regulation are typically based on strict optimality principles that do not account for…

Molecular Networks · Quantitative Biology 2020-07-08 David S. Tourigny

Social interaction between microbes can be described at many levels of details, ranging from the biochemistry of cell-cell interactions to the ecological dynamics of populations. Choosing the best level to model microbial communities…

Populations and Evolution · Quantitative Biology 2020-09-09 Chen Liao , Tong Wang , Sergei Maslov , Joao B. Xavier

We study the intricate relationships between the dynamical scaling properties of electron wave packets and the multifractality of the eigenstates in quantum systems. Numerical simulations for the Harper model and the Fibonacci chain…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jianxin Zhong , Zhenyu Zhang , Michael Schreiber , E. Ward Plummer , Qian Niu

We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

The study of biological cells in terms of mesoscopic, nonequilibrium, nonlinear, stochastic dynamics of open chemical systems provides a paradigm for other complex, self-organizing systems with ultra-fast stochastic fluctuations, short-time…

Chemical Physics · Physics 2014-11-06 Hong Qian

Dynamical systems theory provides powerful methods to extract effective macroscopic dynamics from complex systems with slow modes and fast modes. Here we derive and theoretically support a macroscopic, spatially discrete, model for a class…

Analysis of PDEs · Mathematics 2010-03-12 Wei Wang , A. J. Roberts

Mathematical models describing the spatial spreading and invasion of populations of biological cells are often developed in a continuum modelling framework using reaction-diffusion equations. While continuum models based on linear diffusion…

Cellular Automata and Lattice Gases · Physics 2024-01-23 Matthew J Simpson , Keeley M Murphy , Scott W McCue , Pascal R Buenzli

We employ a mean-field approximation to study the Ising model with aperiodic modulation of its interactions in one spatial direction. Two different values for the exchange constant, $J_A$ and $J_B$, are present, according to the Fibonacci…

Statistical Mechanics · Physics 2015-06-03 T. P. Oliveira , N. S. Branco

A simple model of macroevolution is proposed exhibiting both the property of punctuated equilibrium and the dynamics of potentialities for different species to evolve towards increasingly higher complexity. It is based on the phenomenon of…

Biological Physics · Physics 2007-05-23 Siegfried Fussy , Gerhard Groessing , Herbert Schwabl

A large number of studies have shown the existence of metabolic covalent modifications in different molecular structures, able to store biochemical information that is not encoded by the DNA. Some of these covalent mark patterns can be…

Subcellular Processes · Quantitative Biology 2015-01-12 Ildefonso M. De la Fuente

Despite their topological complexity almost all functional properties of metabolic networks can be derived from steady-state dynamics. Indeed, many theoretical investigations (like flux-balance analysis) rely on extracting function from…

Molecular Networks · Quantitative Biology 2009-11-13 Carsten Marr , Mark Mueller-Linow , Marc-Thorsten Huett

Label-free metabolic dynamics contrast is highly appealing but difficult to achieve in biomedical imaging. Interference offers a highly sensitive mechanism for capturing the metabolic dynamics of the subcellular scatterers. However,…