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Generating molecular graphs is crucial in drug design and discovery but remains challenging due to the complex interdependencies between nodes and edges. While diffusion models have demonstrated their potentiality in molecular graph design,…

Machine Learning · Computer Science 2024-11-11 Xiaoyang Hou , Tian Zhu , Milong Ren , Dongbo Bu , Xin Gao , Chunming Zhang , Shiwei Sun

Implicit time-stepping for advection is applied locally in space and time where Courant numbers are large, but standard explicit time-stepping is used for the remaining solution which is typically the majority. This adaptively implicit…

Fluid Dynamics · Physics 2024-06-14 Hilary Weller , Christian Kuehnlein , Piotr K. Smolarkiewicz

Motivated by the problem of tracking a direction in a decentralized way, we consider the general problem of cooperative learning in multi-agent systems with time-varying connectivity and intermittent measurements. We propose a distributed…

Optimization and Control · Mathematics 2014-12-17 Naomi Ehrich Leonard , Alex Olshevsky

In absence of advection, reaction-diffusion systems are able to organize into spatiotemporal patterns, in particular spiral and target waves. Whenever advection is present and can be parameterised in terms of effective or turbulent…

Fluid Dynamics · Physics 2012-12-10 A. von Kameke , F. Huhn , A. P. Muñuzuri , V. Pérez-Muñuzuri

Certain aspects of the mean-field theory of turbulent passive scalar transport and of mean-field electrodynamics are considered with particular emphasis on aspects of compressible fluids. It is demonstrated that the total mean-field…

Astrophysics of Galaxies · Physics 2015-03-19 Karl-Heinz Rädler , Axel Brandenburg , Fabio Del Sordo , Matthias Rheinhardt

We study the transport properties of a system of active particles moving at constant speed in an heterogeneous two-dimensional space. The spatial heterogeneity is modeled by a random distribution of obstacles, which the active particles…

Biological Physics · Physics 2013-10-23 Oleksandr Chepizhko , Fernando Peruani

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…

We study the notion of stochastic stability with respect to diffusive perturbations for flows with smooth invariant measures. We investigate the question fully for non-singular flows on the circle. We also show that volume-preserving flows…

Dynamical Systems · Mathematics 2011-12-02 Sergiu Aizicovici , Todd Young

In this paper, we study resilient distributed diffusion for multi-task estimation in the presence of adversaries where networked agents must estimate distinct but correlated states of interest by processing streaming data. We show that in…

Multiagent Systems · Computer Science 2020-03-25 Jiani Li , Waseem Abbas , Xenofon Koutsoukos

A new type of wave-mean flow interaction is identified and studied in which a small-amplitude, linear, dispersive modulated wave propagates through an evolving, nonlinear, large-scale fluid state such as an expansion (rarefaction) wave or a…

Pattern Formation and Solitons · Physics 2019-08-06 T. Congy , G. A. El , M. A. Hoefer

This paper studies the impact of a transmitter's molecule generation process on the capacity of a concentration based Molecular Communication (MC) system. Constraints caused by the molecule generation process affect the availability of the…

Information Theory · Computer Science 2018-02-27 Hamid G. Bafghi , Amin Gohari , Mahtab Mirmohseni , Masoumeh Nasiri-Kenari

In Molecular Communications via Diffusion (MCvD), messenger molecules are emitted by a transmitter and propagate randomly through the fluidic environment. In biological systems, the environment can be considered a bounded space, surrounded…

Information Theory · Computer Science 2024-04-29 Anil Kamber , H. Birkan Yilmaz , Ali Emre Pusane , Tuna Tugcu

The mechanism of diffusing diffusivity predicts that, in environments where the diffusivity changes gradually, the displacement distribution becomes non-Gaussian, even though the mean-squared displacement (MSD) grows linearly with time.…

Statistical Mechanics · Physics 2017-10-18 Mpumelelo Matse , Mykyta V. Chubynsky , John Bechhoefer

Diffusion in an evolving environment is studied by continuos-time Monte Carlo simulations. Diffusion is modelled by continuos-time random walkers on a lattice, in a dynamic environment provided by bubbles between two one-dimensional…

Soft Condensed Matter · Physics 2010-11-22 Janne Juntunen , Juha Merikoski

Instantaneous or statistical channel state information (CSI) is needed for most detection schemes developed in the molecular communication (MC) literature. Since the MC channel changes, e.g., due to variations in the velocity of flow, the…

Information Theory · Computer Science 2017-05-09 Vahid Jamali , Arman Ahmadzadeh , Nariman Farsad , Robert Schober

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

We present a microfluidic method leading to accurate measurements of the mutual diffusion coefficient of a liquid binary mixture over the whole solute concentration range in a single experiment. This method fully exploits solvent…

Soft Condensed Matter · Physics 2017-09-21 Anne Bouchaudy , Charles Loussert , Jean-Baptiste Salmon

We investigate the nonlocal behavior of passive tracer dispersion with random stopping at various sites in fluids. This kind of dispersion processes is modeled by an integral partial differential equation, i.e., an advection-diffusion…

Dynamical Systems · Mathematics 2025-10-20 Jinqiao Duan , James R. Brannan , H. Gao

We consider a molecular communication system comprised of a transmitter, an absorbing receiver, and an interference source. Assuming amplitude modulation, we analyze the dependence of the bit error rate (BER) on the detection interval,…

Information Theory · Computer Science 2020-05-05 Trang Ngoc Cao , Nikola Zlatanov , Phee Lep Yeoh , Jamie S. Evans

Analysis of signal fluctuations of a locally fixed probe, caused by molecules diffusing under the probe, can be used to determine diffusion coefficients. Theoretical treatments so far have been limited to point-like particles or to…

Statistical Mechanics · Physics 2015-06-18 Susanne Hahne , Philipp Maass
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