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We present a multiscale approach to model diffusion in a crowded environment and its effect on the reaction rates. Diffusion in biological systems is often modeled by a discrete space jump process in order to capture the inherent noise of…

Subcellular Processes · Quantitative Biology 2016-03-18 Lina Meinecke

We analyze the storage and retrieval of intense-broadband pulses with the added effects of Doppler broadening and detuning in a $\Lambda$ configuration. We compute analytical solutions via the inverse scattering technique and show how the…

Quantum Physics · Physics 2016-10-27 Rodrigo Gutiérrez-Cuevas

We study experimentally the propagation of internal waves in two different three-dimensional (3D) geometries, with a special emphasis on the refractive focusing due to the 3D reflection of obliquely incident internal waves on a slope. Both…

Fluid Dynamics · Physics 2021-02-10 G. Pillet , E. V. Ermanyuk , L. R. M. Maas , I. N. Sibgatullin , T. Dauxois

In diffusion-based communication, as for molecular systems, the achievable data rate is very low due to the slow nature of diffusion and the existence of severe inter-symbol interference (ISI). Multiple-input multiple-output (MIMO)…

Information Theory · Computer Science 2018-01-23 S. Mohammadreza Rouzegar , Umberto Spagnolini

In Diffusive Molecular Communication (DMC), information is transmitted by diffusing molecules. Synaptic signaling is a natural implementation of this paradigm. It is responsible for relaying information from one neuron to another, but also…

Subcellular Processes · Quantitative Biology 2021-10-01 Sebastian Lotter , Arman Ahmadzadeh , Robert Schober

The purpose of this paper is to provide a formula for the effective diffusion operator obtained by projecting the 3-dimensional diffusion equation onto a 2-dimensional plane, assuming reflective boundary conditions at two surfaces in…

Mathematical Physics · Physics 2016-08-24 Carlos Valero Valdes

Consider a ultraviolet (UV) scattering communication system where the position of the transmitter is fixed and the receiver can move around on the ground. To obtain the link gain effectively and economically, we propose an algorithm based…

Signal Processing · Electrical Eng. & Systems 2019-04-09 Difan Zou , Zhengyuan Xu , Chen Gong

Various biological cells secrete diffusing chemical compounds into their environment for communication purposes. Secretion usually takes place over the cell membrane in a spatially heterogeneous manner. Mathematical models of these…

Numerical Analysis · Mathematics 2025-11-20 Qiyao Peng , Sander C. Hille

Spherical multi-layered structures are prevalent in numerous biological systems and engineered applications, including tumor spheroids, layered tissues, and multi-shell nanoparticles for targeted drug delivery. Despite their widespread…

Information Theory · Computer Science 2025-03-19 Mitra Rezaei , Michael Chappell , Adam Noel

This paper considers the scenario of a targeted drug delivery system, which consists of deploying a number of biological nanomachines close to a biological target (e.g. a tumor), able to deliver drug molecules in the diseased area. Suitably…

Emerging Technologies · Computer Science 2018-08-14 Mauro Femminella , Gianluca Reali , Athanasios V. Vasilakos

Rectification and diffusion of non-interacting self-propelled particles is numerically investigated in a two-dimensional corrugated channel. From numerical simulations, we obtain the average velocity and the effective diffusion coefficient.…

Statistical Mechanics · Physics 2014-07-29 Bao-quan Ai , Qiu-yan Chen , Ya-feng He , Feng-guo Li , Wei-rong Zhong

In this paper, a novel fluid dynamics-based approach to channel modeling, which considers liquid droplets as information carriers instead of molecules in the molecular communication (MC) channel, is proposed for practical macroscale MC…

Signal Processing · Electrical Eng. & Systems 2021-01-05 Fatih Gulec , Baris Atakan

The dynamics of a freely diffusing particle in a two-dimensional channel with cross sectional area $A(x)$, can be effectively described by a one-dimensional diffusion equation under the action of a potential of mean force $U(x)=-k_BT\ln…

Statistical Mechanics · Physics 2019-02-28 Matan Sivan , Oded Farago

A diffusion's induced transport is defined for a linear model of a Fokker-Plank equation under periodic boundary conditions in one-dimensional geometry. The flow is generated by a diffusion and a periodic deriving force induced by a…

Mathematical Physics · Physics 2008-09-04 Gershon Wolansky

The Internet of Things (IoT) could enable the development of cloud multiple-input multiple-output (MIMO) systems where internet-enabled devices can work as distributed transmission/reception entities. We expect that spatial multiplexing…

Information Theory · Computer Science 2014-12-02 Junil Choi , David J. Love , D. Richard Brown

In a recent paper it has been shown that to model a diffusive molecular communication (MC) channel with multiple fully absorbing (FA) receivers, these can be interpreted as sources of negative particles from the other receivers'…

Information Theory · Computer Science 2023-04-27 Fardad Vakilipoor , Abdulhamid N. M. Ansari , Maurizio Magarini

This paper studies microfluidic molecular communication receivers with finite-capacity Langmuir adsorption driven by an effective surface concentration. In the reaction-limited regime, we derive a closed-form single-pulse response kernel…

Signal Processing · Electrical Eng. & Systems 2026-01-19 Ruifeng Zheng , Pengjie Zhou , Pit Hofmann , Martín Schottlender , Fatima Rani , Juan A. Cabrera , Frank H. P. Fitzek

Most diffusion based molecular channels suffer from low information capacity due to the structure of the diffusion environment. To address this issue, this paper studies the capacity of the diffusion based molecular communication by…

Information Theory · Computer Science 2020-06-25 Farhad Mirkarimi , Mahtab Mirmohseni , Masoumeh Nasiri-Kenari

Diffusion of chemicals or tracer molecules through complex systems containing irregularly shaped channels is important in many applications. Most theoretical studies based on the famed Fick-Jacobs equation focus on the idealised case of…

Statistical Mechanics · Physics 2014-12-24 Max Bauer , Aljaz Godec , Ralf Metzler

From the earth's crust to the human brain, remitted waves are used for sensing and imaging in a diverse range of diffusive media. Separating the source and detector increases the penetration depth of remitted light, yet rapidly decreases…

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