Paper List
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Discovery of a Hematopoietic Manifold in scGPT Yields a Method for Extracting Performant Algorithms from Biological Foundation Model Internals
This work addresses the core challenge of extracting reusable, interpretable, and high-performance biological algorithms from the opaque internal repr...
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MS2MetGAN: Latent-space adversarial training for metabolite–spectrum matching in MS/MS database search
This paper addresses the critical bottleneck in metabolite identification: the generation of high-quality negative training samples that are structura...
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Toward Robust, Reproducible, and Widely Accessible Intracranial Language Brain-Computer Interfaces: A Comprehensive Review of Neural Mechanisms, Hardware, Algorithms, Evaluation, Clinical Pathways and Future Directions
This review addresses the core challenge of fragmented and heterogeneous evidence that hinders the clinical translation of intracranial language BCIs,...
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Less Is More in Chemotherapy of Breast Cancer
通过纳入细胞周期时滞和竞争项,解决了现有肿瘤-免疫模型的过度简化问题,以定量比较化疗方案。
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Fold-CP: A Context Parallelism Framework for Biomolecular Modeling
This paper addresses the critical bottleneck of GPU memory limitations that restrict AlphaFold 3-like models to processing only a few thousand residue...
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Open Biomedical Knowledge Graphs at Scale: Construction, Federation, and AI Agent Access with Samyama Graph Database
This paper addresses the core pain point of fragmented biomedical data by constructing and federating large-scale, open knowledge graphs to enable sea...
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Predictive Analytics for Foot Ulcers Using Time-Series Temperature and Pressure Data
This paper addresses the critical need for continuous, real-time monitoring of diabetic foot health by developing an unsupervised anomaly detection fr...
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Hypothesis-Based Particle Detection for Accurate Nanoparticle Counting and Digital Diagnostics
This paper addresses the core challenge of achieving accurate, interpretable, and training-free nanoparticle counting in digital diagnostic assays, wh...
癌症-细菌疗法的数学建模:基于物理信息神经网络的数值模拟与分析
International University of Rabat | Université de Lorraine, CNRS, CRAN | Université de Lorraine, CNRS, IECL | Univ Rennes, INSA, CNRS, IRMAR-UMR 6625
30秒速读
IN SHORT: 提供了一个严格的、无网格的PINN框架,用于模拟和分析细菌癌症疗法中复杂的、空间异质的相互作用。
核心创新
- Methodology First coupled PDE model integrating tumor, bacteria, oxygen, immunosuppressive cytokines, and quorum-sensing signals for bacterial cancer therapy.
- Theory Proved global well-posedness and stability of the five-species reaction-diffusion system, establishing a rigorous mathematical foundation.
- Methodology Established convergence guarantees for PINNs on this nonlinear system, with an overall error bound of 𝒪(n^{-2}ln^{4}(n)+N^{-1/2}).
主要结论
- PINN框架实现了𝒪(n^{-2}ln^{4}(n)+N^{-1/2})的可量化误差率,能够对耦合系统进行准确的无网格模拟。
- 敏感性分析表明,治疗效果高度依赖于缺氧维持(通过KH/(KH+O)建模)和细菌的氧耐受性。
- 该模型识别了三个生物学相关的稳态,并确认扩散不会引发图灵不稳定性,表明时空动力学的稳定性。
摘要: 细菌癌症疗法利用厌氧细菌靶向缺氧肿瘤区域的能力,然而肿瘤生长、细菌定植、氧气水平、免疫抑制细胞因子和细菌通讯之间的相互作用仍然缺乏量化。我们提出了一个二维组织域中五个耦合非线性反应-扩散方程的数学模型。我们证明了模型的全局适定性,并确定了其稳态以分析稳定性。此外,物理信息神经网络(PINN)无需网格和大量数据即可求解该系统。它通过结合残差稳定性和Sobolev近似误差界提供了收敛保证。这导致整体误差率为𝒪(n^{-2}ln^{4}(n)+N^{-1/2}),该误差率取决于网络宽度n和配置点数量N。我们进行了多项数值实验,包括预测肿瘤对治疗的反应。我们还对某些参数进行了敏感性分析。结果表明,长期治疗效果可能需要维持肿瘤中的缺氧区域,或者使用更能耐受氧气的细菌,这对于持久的肿瘤控制可能是必要的。