Biosorption and Diffusion Modeling of Pb(II) by Malt Bagasse by Klaiani B. Fontana, Giane Gonçalves Lenzi, Erica R. L. R. Watanabe, Ervin Kaminski Lenzi, Juliana A. M. T. Pietrobelli, Eduardo S. Chaves

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Synthbuster: Towards Detection of Diffusion Model Generated Images by Quentin Bammey

“…The proposed method can detect diffusion-model-generated images even under mild <sc>jpeg</sc> compression, and generalizes relatively well to unknown models. …”
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A diffusion model for universal medical image enhancement by Ben Fei, Yixuan Li, Weidong Yang, Hengjun Gao, Jingyi Xu, Lipeng Ma, Yatian Yang, Pinghong Zhou

“…Existing approaches for natural image enhancement are mostly trained with numerous paired images, presenting challenges in data collection and training costs, all while lacking the ability to generalize effectively. Methods Here, we introduce a pioneering training-free Diffusion Model for Universal Medical Image Enhancement, named UniMIE. …”
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A study of the dynamic response of two concentric spheres in the context of thermoelastic diffusion with internal heat source by Mohamed F. Abbas, Mohamed F. Zaky, Baraa A. Ahmed, Samar A. Mahrous

“…The study underscores the importance of generalized thermoelastic diffusion theory in accurately modeling complex engineering scenarios.…”
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Improving AI models for rare thyroid cancer subtype by text guided diffusion models by Fang Dai, Siqiong Yao, Min Wang, Yicheng Zhu, Xiangjun Qiu, Peng Sun, Cheng Qiu, Jisheng Yin, Guangtai Shen, Jingjing Sun, Maofeng Wang, Yun Wang, Zheyu Yang, Jianfeng Sang, Xiaolei Wang, Fenyong Sun, Wei Cai, Xingcai Zhang, Hui Lu

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A survey of emerging applications of diffusion probabilistic models in MRI by Yuheng Fan, Hanxi Liao, Shiqi Huang, Yimin Luo, Huazhu Fu, Haikun Qi

“…Diffusion probabilistic models (DPMs) which employ explicit likelihood characterization and a gradual sampling process to synthesize data, have gained increasing research interest. …”
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Establishment and Solution for a Mathematical Model of Multiple Diffuse Reflection by Zhenmin Zhu, Xin Xu, Xiang Sun, Xinyun Wang

“…On the basis of the Lambertian characteristic of LEDs and the ideal diffuse surface, a design method that features a multiple diffuse reflectance freeform surface is proposed and its related mathematical model is established in this paper. …”
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Influence diffusion model based on affinity of dynamic social network by Yun-fang CHEN, Tao XIA, Wei ZHANG, Jin LI

“…Recently,influence maximization model is a hot issue in the field of social network influence,while the traditional independent cascade model is generally based on static network with a fixed value of activation probability.DDIC model,which was a dynamic network influence diffusion model with attenuation factor was proposed.It calculated the activation probability between nodes via affinity propagation,and according with dynamic segmentation of social network time slice,calculation of influence on proliferation of next time slice with the current time slice of activation probability performance decay.The experimental results show that the nodes in the DDIC model have more chances to active the neighbor and the average probability of activing of the DDIC model is higher.Further experiments show that influence value via computing with affinity propagation can reflect the process of the spread model more accurately.…”
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Contribution of entropy analysis on three-dimensional Prandtl model under Hall and ion slip effects with generalized mass and heat fluxes via OHAM by Sana Akbar, Muhammad Sohail, Syed Tehseen Abbas, Abha Singh

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DiffuseGaitNet: Improving Parkinson&#x2019;s Disease Gait Severity Assessment With a Diffusion Model Framework by Arshak Rezvani, Nasrin Ravansalar, Mohammad Ali Akhaee, Andrew J. Greenshaw, Russell Greiner, Maryam S. Mirian, Muhammad Yousefnezhad, Martin J. McKeown

“…Our diffusion model enables us to generate synthetic PD gait video frames conditioned on clinical features determined by experts to assess disease severity. …”
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Numerical simulation of valley flood using an implicit diffusion wave model by J. Fernández-Pato, P. García-Navarro

“…The computational efficiency is measured by means of a CPU cost comparison between the explicit and implicit versions of the numerical scheme. In general, the diffusive model benefits from an implicit discretization becoming much more efficient than the explicit versión. …”
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Optimal control of a reaction-diffusion epidemic model with non-compliance by Marcelo Bongarti, Christian Parkinson, Weinan Wang

“…In this paper, we consider an optimal distributed control problem for a reaction-diffusion-based SIR epidemic model with human behavioural effects. …”
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Effects of Diffusion and Delays on the Dynamic Behavior of a Competition and Cooperation Model by Hassan Y. Alfifi

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Asymptotic Behaviour and Extinction of Delay Lotka-Volterra Model with Jump-Diffusion by Dan Li, Jing’an Cui, Guohua Song

“…The contributions of this paper lie in the following: (a) to consider delay stochastic differential equation with jumps, we introduce a proper initial data space, in which the initial data may be discontinuous function with downward jumps; (b) we show that the delay stochastic differential equation with jumps associated with our model has a unique global positive solution and give sufficient conditions that ensure stochastically ultimate boundedness, moment average boundedness in time, and asymptotic polynomial growth of our model; (c) the sufficient conditions for the extinction of the system are obtained, which generalized the former results and showed that the sufficiently large random jump magnitudes and intensity (average rate of jump events arrival) may lead to extinction of the population.…”
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A Time-Variant Model for Chloride Ion Diffusion Coefficient in Concrete by Hongliang Fang, Qiuwei Yang, Jiwei Ma, Xi Peng, Kangshuo Xia

“…This work first analyzes the advantages and disadvantages of several existing time-dependent models for chloride ion diffusion coefficients. Based on this foundation, a new time-varying model is proposed to more accurately predict the variation of chloride ion diffusion coefficient with service time. …”
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SHSRD: Efficient Conditional Diffusion Model for Single Hyperspectral Image Superresolution by Song Yan, Min Li, Yujie He, Yao Gou, Yusen Zhang

“…To better solve the above-mentioned problems from the perspective of dataset, we propose SHSRD, an advanced superresolution framework specifically designed for HSIs based on diffusion model. It incorporates a spectral information injection module, which selectively introduces diverse spectral information into the model in a conditional manner, thereby enabling efficient spectral information perception. …”
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Underwater Image Enhancement Using a Diffusion Model with Adversarial Learning by Xueyan Ding, Xiyu Chen, Yixin Sui, Yafei Wang, Jianxin Zhang

“…To address these issues, we introduce a diffusion model-based underwater image enhancement method using an adversarial learning strategy, referred to as adversarial learning diffusion underwater image enhancement (ALDiff-UIE). …”
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On some explicit solitary wave patterns for a generalized nonlinear reaction–diffusion equation with conformable temporal fractional derivative by Muhammad Jawaz, Jorge E. Macías-Díaz, Syed A. Aqeel, Nauman Ahmed, Muhammad Z. Baber, María G. Medina-Guevara

“…Soliton solutions of a (2+1)-dimensional reaction–diffusion problem are derived in the present work using the generalized Riccati equation mapping method. …”
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Generalized Derangetropy Functionals for Modeling Cyclical Information Flow by Masoud Ataei, Xiaogang Wang

“…This paper introduces a functional framework for modeling cyclical and feedback-driven information flow using a generalized family of derangetropy operators. …”
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Revisiting the Group Classification of the General Nonlinear Heat Equation <i>u_t</i> = (<i>K</i>(<i>u</i>)<i>u_x</i>)<i>_x</i> by Winter Sinkala

“…Group classification is a powerful tool for identifying and selecting the free elements—functions or parameters—in partial differential equations (PDEs) that maximize the symmetry properties of the model. In this paper, we revisit the group classification of the general nonlinear heat (or diffusion) equation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>u</mi><mi>t</mi></msub><mo>=</mo><msub><mfenced separators="" open="(" close=")"><mi>K</mi><mrow><mo>(</mo><mi>u</mi><mo>)</mo></mrow><mspace width="0.166667em"></mspace><msub><mi>u</mi><mi>x</mi></msub></mfenced><mi>x</mi></msub><mo>,</mo></mrow></semantics></math></inline-formula> where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mo>(</mo><mi>u</mi><mo>)</mo></mrow></semantics></math></inline-formula> is a non-constant function of the dependent variable. …”
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