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Diffusion

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Prespecified-time bipartite synchronization of coupled reaction-diffusion memristive neural networks with competitive interactions.

Mathematical biosciences and engineering : MBE
In this paper, we investigate the prespecified-time bipartite synchronization (PTBS) of coupled reaction-diffusion memristive neural networks (CRDMNNs) with both competitive and cooperative interactions. Two types of bipartite synchronization are con...

Diffusion characteristics classification framework for identification of diffusion source in complex networks.

PloS one
The diffusion phenomena taking place in complex networks are usually modelled as diffusion process, such as the diffusion of diseases, rumors and viruses. Identification of diffusion source is crucial for developing strategies to control these harmfu...

Deep learning prediction of diffusion MRI data with microstructure-sensitive loss functions.

Medical image analysis
Deep learning prediction of diffusion MRI (DMRI) data relies on the utilization of effective loss functions. Existing losses typically measure the signal-wise differences between the predicted and target DMRI data without considering the quality of d...

Stabilization of reaction-diffusion fractional-order memristive neural networks.

Neural networks : the official journal of the International Neural Network Society
This paper investigates the stabilization control of fractional-order memristive neural networks with reaction-diffusion terms. With regard to the reaction-diffusion model, a novel processing method based on Hardy-Poincarè inequality is introduced, a...

2D medical image synthesis using transformer-based denoising diffusion probabilistic model.

Physics in medicine and biology
. Artificial intelligence (AI) methods have gained popularity in medical imaging research. The size and scope of the training image datasets needed for successful AI model deployment does not always have the desired scale. In this paper, we introduce...

Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data.

Journal of mathematical biology
We propose a machine learning framework for the data-driven discovery of macroscopic chemotactic Partial Differential Equations (PDEs)-and the closures that lead to them- from high-fidelity, individual-based stochastic simulations of Escherichia coli...

Deep learning for diffusion in porous media.

Scientific reports
We adopt convolutional neural networks (CNN) to predict the basic properties of the porous media. Two different media types are considered: one mimics the sand packings, and the other mimics the systems derived from the extracellular space of biologi...

Adaptive event-triggered extended dissipative synchronization of delayed reaction-diffusion neural networks under deception attacks.

Neural networks : the official journal of the International Neural Network Society
Under spatially averaged measurements (SAMs) and deception attacks, this article mainly studies the problem of extended dissipativity output synchronization of delayed reaction-diffusion neural networks via an adaptive event-triggered sampled-data (A...

Multiobjective Molecular Optimization for Opioid Use Disorder Treatment Using Generative Network Complex.

Journal of medicinal chemistry
Opioid use disorder (OUD) has emerged as a significant global public health issue, necessitating the discovery of new medications. In this study, we propose a deep generative model that combines a stochastic differential equation (SDE)-based diffusio...

Adaptive pinning cluster synchronization of a stochastic reaction-diffusion complex network.

Neural networks : the official journal of the International Neural Network Society
This work aims to achieve cluster synchronization of a complex network by some pinning control strategies. Firstly, the network not only is affected by the reaction-diffusion and the directed coupling phenomena, but also is disturbed by the stochasti...