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Surface growth, by association or dissociation of material on the boundaries of a body, is ubiquitous in both natural and engineering systems. It is the fundamental mechanism by which biological materials grow, starting from the level of a…

软凝聚态物质 · 物理学 2019-03-06 Rami Abi-Akl , Rohan Abeyaratne , Tal Cohen

The physical limit with which a cell senses external ligand concentration corresponds to the perfect absorber, where all ligand particles are absorbed and overcounting of same ligand particles does not occur. Here we analyze how the lateral…

亚细胞过程 · 定量生物学 2015-11-06 Gerardo Aquino , Robert G. Endres

A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell.…

生物物理 · 物理学 2015-05-30 Makiko Nonomura

In this letter, we derive the impulse response of the channel with a spherical absorbing receiver, a spherical reflecting boundary, and a point transmitter in molecular communication domain. By exploring the channel characteristics and…

新兴技术 · 计算机科学 2019-12-11 Fatih Dinc , Bayram Cevdet Akdeniz , Ali Emre Pusane , Tuna Tugcu

A one-dimensional model on a line of the length L is investigated, which involves particle diffusion as well as single particle annihilation. There are also creation and annihilation at the boundaries. The static and dynamical behaviors of…

数学物理 · 物理学 2014-03-17 Mohammad Khorrami , Amir Aghamohammadi

We study molecular dynamics within populations of diffusively coupled cells under the assumption of fast diffusive exchange. As a technical tool, we propose conditions on boundedness and ultimate boundedness for systems with a singular…

细胞行为 · 定量生物学 2012-12-19 Steffen Waldherr , Frank Allgöwer

The dynamic interplay between collective cell movement and the various molecules involved in the accompanying cell signalling mechanisms plays a crucial role in many biological processes including normal tissue development and pathological…

细胞行为 · 定量生物学 2016-07-20 Pia Domschke , Dumitru Trucu , Alf Gerisch , Mark A. J. Chaplain

The behavior of active matter under confinement poses significant challenges due to the intricate coupling between dynamics near boundaries and those in the bulk. A defining feature of active matter systems is that a substantial portion of…

偏微分方程分析 · 数学 2025-08-25 Leonid Berlyand , Spencer Dang , Pierre-Emmanuel Jabin , Mykhailo Potomkin

We investigate limit models resulting from a dimensional analysis of quite general heterogeneous catalysis models with fast sorption (i.e.\ exchange of mass between the bulk phase and the catalytic surface of a reactor) and fast surface…

偏微分方程分析 · 数学 2021-05-10 Björn Augner , Dieter Bothe

We consider molecular communication networks consisting of transmitters and receivers distributed in a fluidic medium. In such networks, a transmitter sends one or more signalling molecules, which are diffused over the medium, to the…

计算工程、金融与科学 · 计算机科学 2015-03-20 Chun Tung Chou

Microorganisms like bacteria can sense concentration of chemo-attractants in its medium very accurately. They achieve this through interaction between the receptors on their cell surface and the chemo-attractant molecules (like sugar). But…

软凝聚态物质 · 物理学 2015-06-04 Surya K. Ghosh , Tapanendu Kundu , Anirban Sain

Diffusion-mediated surface phenomena are crucial for human life and industry, with examples ranging from oxygen capture by lung alveolar surface to heterogeneous catalysis, gene regulation, membrane permeation and filtration processes.…

统计力学 · 物理学 2020-08-19 Denis S. Grebenkov

The study of a receptor-ligand system generally relies on the analysis of its dose-response (or concentration-effect) curve, which quantifies the relation between ligand concentration and the biological effect (or cellular response) induced…

分子网络 · 定量生物学 2022-06-28 Léa Sta , Michael Adamer , Carmen Molina-París

We propose a model for cell polarization as a response to an external signal which results in a system of PDEs for different variants of a protein on the cell surface and interior respectively. We study stationary states of this model in…

偏微分方程分析 · 数学 2019-02-18 Barbara Niethammer , Matthias Röger , Juan J. L. Velázquez

Many types of cells can sense external ligand concentrations with cell-surface receptors at extremely high accuracy. Interestingly, ligand-bound receptors are often internalized, a process also known as receptor-mediated endocytosis. While…

生物物理 · 物理学 2015-05-18 Gerardo Aquino , Robert G. Endres

This paper investigates the channel impulse response (CIR), i.e., the molecule hitting rate, of a molecular communication (MC) system employing an absorbing receiver (RX) covered by multiple non overlapping receptors. In this system,…

新兴技术 · 计算机科学 2022-04-29 Xinyu Huang , Yuting Fang , Stuart T. Johnston , Mattew Faria , Nan Yang , Robert Schober

A quantitative understanding of how cells interact with their extracellular matrix via molecular bonds is fundamental for many important processes in cell biology and engineering. In these interactions, the deformability of cells and matrix…

生物物理 · 物理学 2022-07-13 Qiangzeng Huang , Jizeng Wang

The cellular uptake of self-propelled nanoparticles (NPs) or viruses, usually nonspherical, by cell membrane is crucial in many biological processes. In this study, using Onsager variational principle, we obtain a general wrapping equation…

软凝聚态物质 · 物理学 2023-01-16 Ke Xiao , Rui Ma , Chen-Xu Wu

A non-equilibrium thermodynamics model able to analyze the combined effect of diffusion and adsorption in porous materials is proposed. The model considers the coupled dynamics of the diffusive phase, described by a diffusion type equation,…

材料科学 · 物理学 2015-06-04 I. Santamaria-Holek , Z. J. Grzywna , J. M. Rubi

In diffusion-controlled drug delivery, it is possible for drug molecules to bind to the carrier material and never be released. A common way to incorporate this phenomenon into the governing mechanistic model is to include an irreversible…

医学物理 · 物理学 2024-01-19 Elliot J. Carr