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In this paper we argue that the pattern of cell movements in the morphogenetic process known as convergent extension can be understood as a energy minimization process, provided the cell-cell adhesive energy has a certain kind of…

Biological Physics · Physics 2007-05-23 Mark Zajac Gerald L. Jones , James A. Glazier

We examine the non-ergodic properties of scaled Brownian motion, a non-stationary stochastic process with a time dependent diffusivity of the form $D(t)\simeq t^{\alpha-1}$. We compute the ergodicity breaking parameter EB in the entire…

Statistical Mechanics · Physics 2015-09-02 Hadiseh Safdari , Andrey G. Cherstvy , Aleksei V. Chechkin , Felix Thiel , Igor M. Sokolov , Ralf Metzler

The movement of organisms is subject to a multitude of influences of widely varying character: from the bio-mechanics of the individual, over the interaction with the complex environment many animals live in, to evolutionary pressure and…

Biological Physics · Physics 2013-07-18 Friedrich Lenz , Aleksei V. Chechkin , Rainer Klages

Type 1 diabetes (T1D) is a highly metabolically heterogeneous disease that cannot be adequately characterized by conventional biomarkers such as glycated hemoglobin (HbA1c). This study proposes an explainable deep learning framework that…

Machine Learning · Computer Science 2026-01-09 Pir Bakhsh Khokhar , Carmine Gravino , Fabio Palomba , Sule Yildrim Yayilgan , Sarang Shaikh

Metabolic heterogeneity is widely recognised as the next challenge in our understanding of non-genetic variation. A growing body of evidence suggests that metabolic heterogeneity may result from the inherent stochasticity of intracellular…

Molecular Networks · Quantitative Biology 2020-10-08 Mona K Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

An accurate theory describing adiabatic following of the dark, nonabsorbing state in the three-level system is developed. An analytical solution for the wave function of the particle experiencing Raman excitation is found as an expansion in…

Optics · Physics 2009-11-10 R. N. Shakhmuratov , J. Odeurs

Purpose: Factor analysis (FA) has become part and parcel in metabolic syndrome (MBS) research. Both exploration- and confirmation-driven factor analyzes are rampant. However, factor analytic results on MBS differ widely. A situation that is…

Applications · Statistics 2016-09-09 Carel F. W. Peeters , James Dziura , Floryt van Wesel

Intercellular exchange networks are essential for the adaptive capabilities of populations of cells. While diffusional exchanges have traditionally been difficult to map, recent advances in nanotechnology enable precise probing of exchange…

Statistical Mechanics · Physics 2024-12-13 Luís C. F. Latoski , Andrea De Martino , Daniele De Martino

The circadian clock can adapt itself to external cues, but the molecular mechanisms and regulatory networks governing circadian oscillations' transient adjustments are still largely unknown. Here we consider the specific case of circadian…

Molecular Networks · Quantitative Biology 2023-04-18 Ziyu Zhao , Dae-Sung Hwangbo , Sumit Saurabh , Clark Rosensweig , Ravi Allada , William L. Kath , Rosemary Braun

The regulation of metabolic activity by tuning enzyme expression levels is crucial to sustain cellular growth in changing environments. Metabolic networks are often studied at steady state using constraint-based models and optimization…

Molecular Networks · Quantitative Biology 2014-10-24 Steffen Waldherr , Diego A. Oyarzún , Alexander Bockmayr

This paper investigates how neurons can use metabolic cost to facilitate learning at a population level. Although decision-making by individual neurons has been extensively studied, questions regarding how neurons should behave to cooperate…

Neurons and Cognition · Quantitative Biology 2013-02-12 David Balduzzi , Pedro A Ortega , Michel Besserve

In this paper, we derive an effective macroscale description suitable to describe the growth of biological tissue within a porous tissue-engineering scaffold. As in our recent work (Holden \textit{et al.} "A multiphase multiscale model for…

Tissues and Organs · Quantitative Biology 2019-10-01 E. C. Holden , B. S. Brook , S. J. Chapman , R. D. O'Dea

Understanding biological phenomena requires a systemic approach that incorporates different mechanisms acting on different spatial and temporal scales, since in organisms the workings of all components, such as organelles, cells, and organs…

Tissues and Organs · Quantitative Biology 2015-09-14 Yuri K. Shestopaloff , Ivo F. Sbalzarini

The dynamics of molecular collisions in a macroscopic body are encoded by the parameter Thermodynamic entropy - a statistical measure of the number of molecular configurations that correspond to a given macrostate. Directionality in the…

Populations and Evolution · Quantitative Biology 2020-05-22 Lloyd Demetrius , Christian Wolf

Morphogenesis, the process of growth and shape formation in biological tissues, is driven by complex interactions between mechanical, biochemical, and genetic factors. Traditional models of biological growth often rely on the concept of…

Biological Physics · Physics 2025-05-05 Alexander Erlich , Giuseppe Zurlo

Wild animals are commonly fitted with trackers that record their position through time, and statistical models for tracking data broadly fall into two categories: models focused on small-scale movement decisions, and models for large-scale…

Applications · Statistics 2025-10-07 Théo Michelot , Ephraim M. Hanks

We present a general approach to study a class of random growth models in $n$-dimensional Euclidean space. These models are designed to capture basic growth features which are expected to manifest at the mesoscopic level for several…

Probability · Mathematics 2020-08-20 Amir Dembo , Pablo Groisman , Ruojun Huang , Vladas Sidoravicius

Researchers have found that the metabolisms of organisms appear to scale proportionally to a 3/4 power of their mass. Mathematics in this article suggests that the capacity of an isotropically radiating energy supply scales up by a 4/3…

General Physics · Physics 2015-10-12 Robert Shour

Gene networks exhibiting oscillatory dynamics are widespread in biology. The minimal regulatory designs giving rise to oscillations have been implemented synthetically and studied by mathematical modeling. However, most of the available…

Molecular Networks · Quantitative Biology 2013-01-31 Matteo Osella , Marco Cosentino Lagomarsino

Cells generally convert nutrient resources to useful products via energy transduction. Accordingly, the thermodynamic efficiency of this conversion process is one of the most essential characteristics of living organisms. However, although…

Biological Physics · Physics 2016-05-04 Yusuke Himeoka , Kunihiko Kaneko