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Physiologically Based Pharmacokinetic (PBPK) modeling is a key tool in drug development for predicting drug concentration dynamics across organs. Traditional PBPK approaches rely on ordinary differential equations with simplifying…

Machine Learning · Computer Science 2026-01-06 Su Liu , Xin Hu , Shurong Wen , Chengyi Chen , Jiaqi Liu , Lanruo Wang , Jiexi Xu

Physics-Informed Neural Networks (PINNs) integrate machine learning with differential equations to solve forward and inverse problems while ensuring that predictions adhere to physical laws. Physiologically based pharmacokinetic (PBPK)…

The convergence of statistical learning and molecular physics is transforming our approach to modeling biomolecular systems. Physics-informed machine learning (PIML) offers a systematic framework that integrates data-driven inference with…

Biomolecules · Quantitative Biology 2025-11-11 Aaryesh Deshpande

In the field of pharmacokinetics and pharmacodynamics (PKPD) modeling, which plays a pivotal role in the drug development process, traditional models frequently encounter difficulties in fully encapsulating the complexities of drug…

Quantitative Methods · Quantitative Biology 2024-09-23 Nazanin Ahmadi Daryakenari , Shupeng Wang , George Karniadakis

Physics-informed machine learning (PIML) is emerging as a potentially transformative paradigm for modeling complex biomedical systems by integrating parameterized physical laws with data-driven methods. Here, we review three main classes of…

Machine Learning · Computer Science 2025-10-08 Nazanin Ahmadi , Qianying Cao , Jay D. Humphrey , George Em Karniadakis

Pharmacometric models are pivotal across drug discovery and development, playing a decisive role in determining the progression of candidate molecules. However, the derivation of mathematical equations governing the system is a…

Machine Learning · Computer Science 2024-05-02 Imran Nasim , Adam Nasim

The unprecedented amount of data generated from experiments, field observations, and large-scale numerical simulations at a wide range of spatio-temporal scales have enabled the rapid advancement of data-driven and especially deep learning…

Computational Physics · Physics 2024-06-19 Suraj Pawar , Omer San , Aditya Nair , Adil Rasheed , Trond Kvamsdal

In this paper, we propose a probabilistic physics-guided framework, termed Physics-guided Deep Markov Model (PgDMM). The framework targets the inference of the characteristics and latent structure of nonlinear dynamical systems from…

Machine Learning · Computer Science 2022-05-26 Wei Liu , Zhilu Lai , Kiran Bacsa , Eleni Chatzi

Reliable identification of molecular biomarkers is essential for accurate patient stratification. While state-of-the-art machine learning approaches for sample classification continue to push boundaries in terms of performance, most of…

Molecular Networks · Quantitative Biology 2019-11-07 Matteo Manica , Joris Cadow , Roland Mathis , María Rodríguez Martínez

Interest for in silico modelling of the absorption of xenobiotics into the skin has been growing in the last years, owing to their lower cost compared to experimental alternatives, and the desire to avoid animal experimentation. This review…

Tissues and Organs · Quantitative Biology 2020-12-08 Daniel Sebastia-Saez , Adam Burbidge , Jan Engmann , Marco Ramaioli

Scientific Machine Learning (SciML) is a recently emerged research field which combines physics-based and data-driven models for the numerical approximation of differential problems. Physics-based models rely on the physical understanding…

Numerical Analysis · Mathematics 2025-04-04 Alfio Quarteroni , Paola Gervasio , Francesco Regazzoni

Physics-Informed Machine Learning (PIML) has successfully integrated mechanistic understanding into machine learning, particularly in domains governed by well-known physical laws. This success has motivated efforts to apply PIML to biology,…

Machine Learning · Computer Science 2025-10-30 Julien Martinelli

This study employed an artificial intelligence-enhanced molecular simulation framework to enable efficient Path Integral Molecular Dynamics (PIMD) simulations. Owing to its modular architecture and high-throughput capabilities, the…

Chemical Physics · Physics 2025-04-01 Cheng Fan , Maodong Li , Sihao Yuan , Zhaoxin Xie , Dechin Chen , Yi Isaac Yang , Yi Qin Gao

We present a novel method to improve pharmacokinetics modeling, an essential step of drug development. Conventional models frequently fail to fully represent the intricacies of drug absorption and distribution, which limits their predictive…

Quantitative Methods · Quantitative Biology 2024-12-31 Nazanin Ahmadi , Shupeng Wang , George Karniadakis

The clinical translation of nanoparticle-based treatments remains limited due to the unpredictability of (nanoparticle) NP pharmacokinetics$\unicode{x2014}$how they distribute, accumulate, and clear from the body. Predicting these…

Machine Learning · Computer Science 2025-03-19 Amirhossein Khakpour , Lucia Florescu , Richard Tilley , Haibo Jiang , K. Swaminathan Iyer , Gustavo Carneiro

Physics-informed machine learning (PIML) is an emerging framework that integrates physical knowledge into machine learning models. This physical prior often takes the form of a partial differential equation (PDE) system that the regression…

Machine Learning · Statistics 2025-07-15 Nathan Doumèche

Physics-informed machine learning (PIML) integrates mechanistic knowledge, typically in the form of partial differential equations (PDE), into data-driven models. Despite strong empirical performance, its statistical generalisation…

Machine Learning · Computer Science 2026-05-27 Thien V. Nguyen , Amaury Habrard , Benjamin Guedj

Physics-informed machine learning (PIML) is a set of methods and tools that systematically integrate machine learning (ML) algorithms with physical constraints and abstract mathematical models developed in scientific and engineering…

In recent years, AI models that mine intrinsic patterns from molecular structures and protein sequences have shown promise in accelerating drug discovery. However, these methods partly lag behind real-world pharmaceutical approaches of…

Machine Learning · Computer Science 2023-10-17 Yizhen Luo , Xing Yi Liu , Kai Yang , Kui Huang , Massimo Hong , Jiahuan Zhang , Yushuai Wu , Zaiqing Nie

Physics-guided machine learning (PGML) has become a prevalent approach in studying scientific systems due to its ability to integrate scientific theories for enhancing machine learning (ML) models. However, most PGML approaches are tailored…

Machine Learning · Computer Science 2025-02-11 Runlong Yu , Chonghao Qiu , Robert Ladwig , Paul Hanson , Yiqun Xie , Xiaowei Jia
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