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We consider a simple model of a structural glass, represented by a lattice gas with kinetic constraints in contact with a particle reservoir. Quench below the glass transition is represented by the jump of the chemical potential above a…

Statistical Mechanics · Physics 2007-05-23 Luca Peliti , Mauro Sellitto

Structured populations are ubiquitous across the biological sciences. Mathematical models of these populations allow us to understand how individual physiological traits drive the overall dynamics in aggregate. For example, linear age- or…

Analysis of PDEs · Mathematics 2022-04-25 Sabina L. Altus , Jeffrey C. Cameron , David M. Bortz

We propose a new theory for aging based on dynamical systems and provide a data-driven computational method to quantify the changes at the cellular level. We use ergodic theory to decompose the dynamics of changes during aging and show that…

Quantitative Methods · Quantitative Biology 2025-04-18 Farhan Khodaee , Rohola Zandie , Yufan Xia , Elazer R. Edelman

Mechanical densification of granular bodies is a process in which a loose material becomes increasingly cohesive as the applied pressure increases. A constitutive description of this process faces the formidable problem that granular and…

Mathematical Physics · Physics 2015-05-20 Andrea Piccolroaz , Davide Bigoni , Alessandro Gajo

We propose two toy-models to describe, predict, and interpret the wrinkles appearing on the surface of skin when it is sheared. With the first model, we account for the lines of greatest tension present in human skin by subjecting a layer…

Soft Condensed Matter · Physics 2013-06-04 Pasquale Ciarletta , Michel Destrade , Artur L. Gower

Disordered solids often change their elastic response as they slowly age. Using experiments and simulations, we study how aging disordered planar networks under an applied stress affects their nonlinear elastic response. We are able to…

Soft Condensed Matter · Physics 2020-11-18 Daniel Hexner , Nidhi Pashine , Andrea J. Liu , Sidney R. Nagel

Constitutive models that describe the mechanical behavior of soft tissues have advanced greatly over the past few decades. These expert models are generalizable and require the calibration of a number of parameters to fit experimental data.…

Quantitative Methods · Quantitative Biology 2021-07-13 Vahidullah Tac , Vivek D. Sree , Manuel K. Rausch , Adrian B. Tepole

Age spots are the brown spots that develop in the skin but change in color and shape with time. To understand the mechanism of development of age spots, characteristics of age spots are analyzed by Misrepair mechanism, a mechanism…

Tissues and Organs · Quantitative Biology 2018-02-06 Jicun Wang-Michelitsch , Thomas M Michelitsch

The paper provides a macro-microscopic coupled constitutive model for fluid-saturated porous media with respect to the compressibility of the solid skeleton, the real solid material and the fluid phase. The derivation of the model is…

Geophysics · Physics 2022-04-27 Jia-Yu Liang , Yue-Ming Li , Erich Bauer

Colloidal gels undergo a phenomenon known as physical aging, i.e., a continuous change of their physical properties with time after the gel point. To date, most of the research effort on aging in gels has been focused on suspensions of hard…

Soft Condensed Matter · Physics 2024-03-18 Julien Bauland , Gouranga Manna , Thibaut Divoux , Thomas Gibaud

Recent advances in physics-augmented neural networks have enabled thermodynamically consistent data-driven constitutive modeling of complex inelastic materials. Most existing approaches, however, implicitly adopt a specific thermodynamic…

Materials Science · Physics 2026-05-28 Reese E. Jones , Jan N. Fuhg

A novel data-driven constitutive modeling approach is proposed, which combines the physics-informed nature of modeling based on continuum thermodynamics with the benefits of machine learning. This approach is demonstrated on…

Computational Engineering, Finance, and Science · Computer Science 2023-04-28 Kshitiz Upadhyay , Jan N. Fuhg , Nikolaos Bouklas , K. T. Ramesh

Inferring the mechanical properties of soft tissues from measured deformations is a fundamental challenge in elastography. A rarely examined assumption underlying existing approaches is that the assumed constitutive law correctly describes…

Machine Learning · Statistics 2026-04-15 Vincent C. Scholz , P. S. Koutsourelakis

Although species longevity is subject to a diverse range of selective forces, the mortality curves of a wide variety of organisms are rather similar. We argue that aging and its universal characteristics may have evolved by means of a…

Populations and Evolution · Quantitative Biology 2013-02-01 Dervis Can Vural , Greg Morrison , L. Mahadevan

How morphogenesis depends on cell properties is an active direction of research. Here, we focus on mechanical models of growing plant tissues, where microscopic (sub)cellular structure is taken into account. In order to establish links…

Analysis of PDEs · Mathematics 2023-11-21 Arezki Boudaoud , Annamaria Kiss , Mariya Ptashnyk

The shoulder joint is one of the functionally and anatomically most sophisticated articular systems in the human body. Both complex movement patterns and the stabilization of the highly mobile joint rely on intricate three-dimensional…

Computational Engineering, Finance, and Science · Computer Science 2024-11-06 Laura Engelhardt , Renate Sachse , Rainer Burgkart , Wolfgang A. Wall

Dislocations are the main carriers of plastic deformation in crystalline materials. Physically based constitutive equations of crystal plasticity typically incorporate dislocation mechanisms, using a dislocation density based description of…

Materials Science · Physics 2022-01-19 Ronghai Wu , Michael Zaiser

The elastic properties of materials derive from their electronic and atomic nature. However, simulating bulk materials fully at these scales is not feasible, so that typically homogenized continuum descriptions are used instead. A seamless…

Materials Science · Physics 2021-08-09 Jaber Rezaei Mianroodi , Shahed Rezaei , Nima H. Siboni , Bai-Xiang Xu , Dierk Raabe

The identification of constitutive laws is ubiquitous in engineering: in modeling of materials where experimental data are fitted to mathematical models or learning surrogate models to beat the FE\textsuperscript{2} computational cost of…

Materials Science · Physics 2026-05-15 Mayank Raj , Lianghao Cao , Andrew Stuart , Kaushik Bhattacharya

Twisting and bending deformations are crucial to the biological functions of microfilaments such as DNA molecules. Although continuum-rod models have emerged as efficient tools to describe the nonlinear dynamics of these deformations, a…

Computational Physics · Physics 2015-03-13 Adam R. Hinkle , Sachin Goyal , Harish J. Palanthandalam-Madapusi