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The paper presents a new method for shape and topology optimization based on an efficient and scalable boundary integral formulation for elasticity. To optimize topology, our approach uses iterative extraction of isosurfaces of a…

Optimization and Control · Mathematics 2016-12-14 Igor Ostanin , Ivan Tsybulin , Mikhail Litsarev , Ivan Oseledets , Denis Zorin

Scaffold proteins organize cellular processes by bringing signaling molecules into interaction, sometimes by forming large signalosomes. Several of these scaffolds are known to polymerize. Their assemblies should therefore not be understood…

Quantitative Methods · Quantitative Biology 2020-03-06 Andrés Ortiz-Muñoz , Héctor F. Medina-Abarca , Walter Fontana

Healing of Tendon-bone interface(TBI) injuries is slow and is often repaired with scar tissue formation that compromises normal function. Despite the increasing maturity of surgical techniques, re-tearing of the rotator cuff after surgery…

Tissues and Organs · Quantitative Biology 2025-06-17 Ting Zhang , Jianying Zhang

We study two-stage stochastic optimization problems with random recourse, where the adaptive decisions are multiplied with the uncertain parameters in both the objective function and the constraints. To mitigate the computational…

Optimization and Control · Mathematics 2021-10-05 Xiangyi Fan , Grani A. Hanasusanto

Designing strong and robust bio-inspired structures requires an understanding of how function arises from the architecture and geometry of materials found in nature. We draw from trabecular bone, a lightweight bone tissue that exhibits a…

Biological Physics · Physics 2019-10-09 Chantal Nguyen , Darin Peetz , Ahmed E. Elbanna , Jean M. Carlson

A key issue for the fabrication of scaffolds for tissue engineering is the development of processing techniques flexible enough to produce materials with a wide spectrum of solubility (bioresorption rates) and mechanical properties matching…

Applied Physics · Physics 2018-04-09 Julie Russias , Eduardo Saiz , Sylvain Deville , Karol Gryn , G. Liu , Ravi K. Nalla , Antoni P. Tomsia

Transparent tissue scaffolds enable illumination of growing tissue to accelerate cell proliferation and improve other cell functions through photobiomodulation. The biphasic dose response of cells exposed to photobiomodulating light…

Biological Physics · Physics 2016-12-12 Jonathan K. George , Hamed Haghshenas , Duncan DHemecourt , Wei Zhu , Lijie Zhang , Volker J. Sorger

Optimization of frame structures is formulated as a~non-convex optimization problem, which is currently solved to local optimality. In this contribution, we investigate four optimization approaches: (i) general non-linear optimization, (ii)…

Optimization and Control · Mathematics 2019-09-17 Marek Tyburec , Jan Zeman , Martin Kružík , Didier Henrion

Bone remodelling maintains the functionality of skeletal tissue by locally coordinating bone-resorbing cells (osteoclasts) and bone-forming cells (osteoblasts) in the form of Bone Multicellular Units (BMUs). Understanding the emergence of…

Tissues and Organs · Quantitative Biology 2011-05-26 Pascal R Buenzli , Peter Pivonka , David W Smith

An efficient topology optimization method applicable to both continuum and rarefied gas flows is proposed in the framework of gas-kinetic theory. The areas of gas and solid are marked by the material density, based on which a fictitious…

Fluid Dynamics · Physics 2023-08-15 Ruifeng Yuan , Lei Wu

This paper introduces a heuristic topology optimization framework for thin-walled, 2D extruded lattice structures subject to complex high-speed loading. The proposed framework optimizes the wall thickness distribution in the lattice cross…

Optimization and Control · Mathematics 2022-10-24 Junyan He , Shashank Kushwaha , Diab Abueidda , Iwona Jasiuk

A new strategy with bone tissue engineering by mesenchymal stem cell transplantation on titanium implant has been dawn attention. The surface scaffold properties of titanium surface play an important role in bone regenerative potential of…

Cell Behavior · Quantitative Biology 2010-05-03 Yukimichi Tamaki , Yu Kataoka , Takashi Miyazaki

We propose a PDE-ODE model for tissue regeneration, obtained by parabolic upscaling from kinetic transport equations written for the mesoscopic densities of mesenchymal stem cells and chondrocytes which evolve in an artificial scaffold…

Analysis of PDEs · Mathematics 2025-11-04 Shimi Chettiparambil Mohanan , Nishith Mohan , Christina Surulescu

Mobile energy storage systems (MESSs) provide promising solutions to enhance distribution system resilience in terms of mobility and flexibility. This paper proposes a rolling integrated service restoration strategy to minimize the total…

Optimization and Control · Mathematics 2019-09-24 Shuhan Yao , Peng Wang , Xiaochuan Liu , Huajun Zhang , Tianyang Zhao

The purpose of this work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. By making use of the relaxed design space, we can…

Computational Engineering, Finance, and Science · Computer Science 2018-08-15 Jeroen Groen , Jun Wu , Ole Sigmund

Double polymer networks exhibit a striking enhancement of toughness compared to single networks, yet the microscopic mechanisms governing stress redistribution, damage evolution, and fracture remain incompletely understood. Using…

Soft Condensed Matter · Physics 2026-01-09 Magali Le Goff , Laureano Ortellado , Jiting Tian , Mehdi Bouzid , Jean-Louis Barrat , Kirsten Martens

We present a novel continuous optimization method to the discrete problem of quadtree optimization. The optimization aims at achieving a quadtree structure with the highest mechanical stiffness, where the edges in the quadtree are…

Numerical Analysis · Mathematics 2018-05-23 Jun Wu

The mechanical behaviour of solid biological tissues has long been described using models based on classical continuum mechanics. However, the classical continuum theories of elasticity and viscoelasticity cannot easily capture the…

Biological Physics · Physics 2017-05-16 Shakti N. Menon , Cameron L. Hall , Scott W. McCue , D. L. Sean McElwain

Tissue engineering aims to grow artificial tissues \emph{in vitro} to replace those in the body that have been damaged through age, trauma or disease. A recent approach to engineer artificial cartilage involves seeding cells within a…

Soft Condensed Matter · Physics 2017-12-05 M. J. Chen , L. S. Kimpton , J. P. Whiteley , M. Castilho , J. Malda , C. P. Please , S. L. Waters , H. M. Byrne

Additively manufactured structures often exhibit a correlation between their mechanical properties, such as stiffness, strength, and porosity, and their wall thickness. This correlation stems from the interplay between the manufacturing…

Optimization and Control · Mathematics 2024-03-26 Sukhminder Singh , Lukas Pflug , Fabian Wein , Michael Stingl