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Electroporation method is a useful tool for delivering drugs into various diseased tissues in the human body. As a result of an applied electric field, drug particles enter the intracellular compartment through the temporarily permeabilized…

Tissues and Organs · Quantitative Biology 2022-08-10 Nilay Mondal , K. S. Yadav , D. C. Dalal

The electropermeabilization of biological cell membranes by the application of an external field occurs whenever an applied field exceeds a threshold value. For fields above this threshold value but less than another critical value, the…

Biological Physics · Physics 2007-05-23 William A. Hercules , James Lindesay , Anna Coble , Robert Schmukler

We study a phenomenological electropermeabilization model in a periodic medium representing biological tissue. Starting from a cell-level model describing the electric potential and the degree of porosity, we perform dimension analysis to…

Analysis of PDEs · Mathematics 2026-02-03 Tobias Gebäck , Ioanna Motschan-Armen , Irina Pettersson

Thermal electrochemical models for porous electrode batteries (such as lithium ion batteries) are widely used. Due to the multiple scales involved, solving the model accounting for the porous microstructure is computationally expensive,…

Chemical Physics · Physics 2020-04-14 Matthew J. Hunt , Ferran Brosa Planella , Florian Theil , W. Dhammika Widanage

We simulate the electrical response of multiple disjoint biological 3D cells undergoing an electropermeabilization process. Instead of solving the boundary value problem in the unbounded volume, we reduce it to a system of boundary…

Computational Engineering, Finance, and Science · Computer Science 2024-09-04 Isabel A. Martínez Ávila , Carlos Jerez-Hanckes , Irina Pettersson

Electroporation is a very useful tool for drug delivery into various diseased tissues of the human body. This technique helps to improve the clinical treatment by transferring drugs into the targeted cells rapidly. In electroporation, drug…

Functional Analysis · Mathematics 2022-08-03 Nilay Mondal , D. C. Dalal

In the end of the second decade of 20th century, Warburg showed how cancer cells present a fermentative respiration process, related to a metabolic injury. Here, we develop an analysis of the cell process based on its heat outflow, in order…

Cell Behavior · Quantitative Biology 2021-07-27 Umberto Lucia , Giulia Grisolia

Electroporation is a physical method to induce the uptake of therapeutic drugs and DNA, by eukaryotic cells and tissues. The phenomena behind electro-mediated membrane permeabilization to plasmid DNA have been shown to be significantly more…

In this paper homogenization of a mathematical model for plant tissue biomechanics is presented. The microscopic model constitutes a strongly coupled system of reaction-diffusion-convection equations for chemical processes in plant cells,…

Analysis of PDEs · Mathematics 2017-08-24 Andrey Piatnitski , Mariya Ptashnyk

In this paper, we analyze the embedding cell method, an algorithm which has been developed for the numerical homogenization of metal-ceramic composite materials. We show the convergence of the iteration scheme of this algorithm and the…

Numerical Analysis · Mathematics 2016-12-20 Wolf-Patrick Düll , Bastian Hilder , Guido Schneider

Macromolecules change their shape (conformation) in the process of carrying out their functions. The imaging by cryo-electron microscopy of rapidly-frozen, individual copies of macromolecules (single particles) is a powerful and general…

Biomolecules · Quantitative Biology 2022-11-22 Bogdan Toader , Fred J. Sigworth , Roy R. Lederman

Classical theory of crystals states that a medium to be considered homogeneous must satisfy the following requirements: a) the dimension of the elementary cell must be much smaller than the incident wavelength; b) the sample must contain a…

In this work we continue the investigation of different approaches to conception and modeling of composite materials. The global method we focus on, is called 'stochastic homogenization'. In this approach, the classical deterministic…

Computational Engineering, Finance, and Science · Computer Science 2018-02-07 Vladimir Salnikov , Daniel Choi , Philippe Karamian-Surville

When confronted with an undesired cell population, such as bacterial infections or tumors, we seek the most effective treatment, designed to eliminate the population as rapidly as possible. A common practice is to monitor the cells…

Biological Physics · Physics 2025-01-23 Uzi Harush , Ravid Straussman , Baruch Barzel

Electroporation (EP), the temporary or permanent permeabilization of the cell membrane induced by an electric field, is the basis of various applications in medicine and food processing. In EP-based protocol optimization in terms of pulse…

Medical Physics · Physics 2024-03-22 Guillermo Marshall , Alejandro Soba

The study of electronic transitions within a molecule connected to the absorption or emission of light is a common task in the process of the design of new materials. The transitions are complex quantum mechanical processes and a detailed…

Human-Computer Interaction · Computer Science 2021-06-03 Talha Bin Masood , Signe Sidwall Thygesen , Mathieu Linares , Alexei I. Abrikosov , Vijay Natarajan , Ingrid Hotz

The living body is composed of innumerable fine and complex structures and although these structures have been studied in the past, a vast amount of information pertaining to them still remains unknown. When attempting to observe these…

Medical Physics · Physics 2021-11-30 Raku Son , Kenji Yamazawa , Akiko Oguchi , Mitsuo Suga , Masaru Tamura , Yasuhiro Murakawa , Satoshi Kume

Micro-structured materials consisting of an array of microstructures are engineered to provide the specific material properties. This present work investigates the design of cellular materials under the framework of level set, so as to…

Computational Engineering, Finance, and Science · Computer Science 2018-11-13 Jie Gao , Hao Li , Zhen Luo , Liang Gao , Peigen Li

Wave-domain processing is an emerging paradigm where signal processing operations are partially shifted from the digital to the electromagnetic (EM) domain. Leveraging reconfigurable EM devices, this approach aims to reduce complexity,…

Signal Processing · Electrical Eng. & Systems 2026-04-27 Davide Dardari

Transmission electron microscopes (TEMs) enable atomic-scale imaging and characterisation, driving advances across fields from materials science to biology. Quantum correlations, specifically entanglement, may provide a basis for novel…

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