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Muscles consume metabolic energy (ATP) to produce force. A mathematical model for energy expenditure can be useful in estimating real-time costs of movements or to predict energy optimal movements. Metabolic cost models developed so far…

Tissues and Organs · Quantitative Biology 2025-01-03 Sriram Sekaripuram Muralidhar , Kristen Heitman , Samuel C. Walcott , Manoj Srinivasan

Objective: As metabolic cost is a primary factor influencing humans' gait, we want to deepen our understanding of metabolic energy expenditure models. Therefore, this paper identifies the parameters and input variables, such as muscle or…

Machine Learning · Computer Science 2023-11-08 Markus Gambietz , Marlies Nitschke , Jörg Miehling , Anne Koelewijn

Metabolism and evolution are closely connected: if a mutation incurs extra energetic costs for an organism, there is a baseline selective disadvantage that may or may not be compensated for by other adaptive effects. A long-standing, but to…

Populations and Evolution · Quantitative Biology 2019-06-19 Efe Ilker , Michael Hinczewski

In ergonomics and biomechanics, muscle fatigue models based on maximum endurance time (MET) models are often used to integrate fatigue effect into ergonomic and biomechanical application. However, due to the empirical principle of those MET…

Robotics · Computer Science 2011-04-08 Liang Ma , Damien Chablat , Fouad Bennis , Wei Zhang , Bo Hu , François Guillaume

Prior studies have produced models to predict metabolic rates based on experimental observations of isolated muscle contraction from various species. Such models can provide reliable predictions of metabolic rates in humans if muscle…

Applied Physics · Physics 2023-10-24 Israel Luis , Maarten Afschrift , Friedl De Groote , Elena M. Gutierrez-Farewik

This study aimed to explore the application of deep neural networks for whole-body human posture prediction during dynamic load-reaching activities. Two time-series models were trained using bidirectional long short-term memory (BLSTM) and…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Seyede Niloofar Hosseini , Ali Mojibi , Mahdi Mohseni , Navid Arjmand , Alireza Taheri

A constitutive relation between stress and strain relative to a reference state is the basic assumption of elasticity theory. However, in living matter, force generation is governed by motor molecule activity, which does not depend on…

Soft Condensed Matter · Physics 2026-03-17 Nikolas H. Claussen , Fridtjof Brauns , Boris I. Shraiman

In modeling solute transport with mobile-immobile mass transfer (MIMT), it is common to use an advection-dispersion equation (ADE) with a retardation factor, or retarded ADE. This is commonly referred to as making the local equilibrium…

Fluid Dynamics · Physics 2017-03-10 Scott K. Hansen , Velimir V. Vesselinov

Obesity does not emerge abruptly; rather, it develops gradually over extended periods. The gradual progression often prevents early recognition of physiological changes until excess adiposity is established. A common belief is that weight…

Quantitative Methods · Quantitative Biology 2026-03-18 Soheil Saghafi , Gari D. Clifford

One of the characteristic features of a stochastic process under resetting is that the probability density converges to a nonequilibrium stationary state (NESS). In addition, the approach to the stationary state exhibits a dynamical phase…

Statistical Mechanics · Physics 2021-09-01 Paul C Bressloff

This study presents a physically consistent displacement-driven reformulation of the concept of action-at-a-distance, which is at the foundation of nonlocal elasticity. In contrast to existing approaches that adopts an integral…

Numerical Analysis · Mathematics 2021-11-03 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

Purpose: Critical torque (CT) and work done above it (W') are key predictors of exercise performance associated with neuromuscular fatigue. The aim of the present study was to understand the role of the metabolic cost of exercise in…

Tissues and Organs · Quantitative Biology 2023-03-09 Guillaume Ducrocq , Simon Al Assad , Nabil Kouzkouz , Thomas Hureau

A general simple theory for the interspecific allometric scaling is developed in the $d+1$-dimensional space ($d$ biological lengths and a physiological time) of metabolic states of organisms. It is assumed that natural selection shaped the…

Biological Physics · Physics 2007-10-04 Jafferson K. L. da Silva , Lauro A. Barbosa , Paulo Roberto Silva

We construct a measure for the adiabatic contribution to quantum transitions in an arbitrary basis, tackling the generic complex case where dynamics is only partially adiabatic, simultaneously populates several eigenstates and transitions…

Quantum Physics · Physics 2025-04-08 R. Pant , P. K. Verma , C. Rangi , E. Mondal , M. Bhati , V. Srinivasan , S. Wüster

In order to clarify common assumptions on the form of energy and momentum in elasticity, a generalized conservation format is proposed for finite elasticity, in which total energy and momentum are not specified a priori. Velocity, stress,…

Mathematical Physics · Physics 2007-05-23 P. Podio-Guidugli , S. Sellers , G. Vergara Caffarelli

We present a new model for calculating locomotion costs in breath-hold divers. Starting from basic mechanics principles, we calculate the work that the diver must provide through propulsion to counterbalance the action of drag, the buoyant…

Quantitative Methods · Quantitative Biology 2024-01-30 Martino Trassinelli

In the present paper we initiate the challenging task of building a mathematically sound theory for Adaptive Virtual Element Methods (AVEMs). Among the realm of polygonal meshes, we restrict our analysis to triangular meshes with hanging…

Numerical Analysis · Mathematics 2022-12-02 L. Beirao da Veiga , C. Canuto , R. H. Nochetto , G. Vacca , M. Verani

We study the existence of quasistatic evolutions for a family of gradient damage models which take into account fatigue, that is the process of weakening in a material due to repeated applied loads. The main feature of these models is the…

Analysis of PDEs · Mathematics 2020-09-24 Roberto Alessi , Vito Crismale , Gianluca Orlando

We introduce two time-delay models of metabolic oscillations in yeast cells. Our model tests a hypothesis that the oscillations occur as multiple pathways share a limited resource which we equate to the number of available ribosomes. We…

Dynamical Systems · Mathematics 2023-12-07 Max M. Chumley , Firas A. Khasawneh , Andreas Otto , Tomas Gedeon

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
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