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Systems biology models are useful models of complex biological systems that may require a large amount of experimental data to fit each model's parameters or to approximate a likelihood function. These models range from a few to thousands…

Quantitative Methods · Quantitative Biology 2024-07-12 Vincent D. Zaballa , Elliot E. Hui

Survival models are used in various fields, such as the development of cancer treatment protocols. Although many statistical and machine learning models have been proposed to achieve accurate survival predictions, little attention has been…

Machine Learning · Computer Science 2020-03-26 Hrushikesh Loya , Pranav Poduval , Deepak Anand , Neeraj Kumar , Amit Sethi

Understanding the mechanisms of interactions within cells, tissues, and organisms is crucial to driving developments across biology and medicine. Mathematical modeling is an essential tool for simulating biological systems and revealing…

Molecular Networks · Quantitative Biology 2024-08-13 Lingxia Qiao , Ali Khalilimeybodi , Nathaniel J Linden-Santangeli , Padmini Rangamani

Mathematical models are invaluable for understanding and predicting how biological systems behave, although their construction requires specifying mechanisms and relationships that are often not perfectly known. In the presence of multiple…

Background: Many mathematical models have now been employed across every area of systems biology. These models increasingly involve large numbers of unknown parameters, have complex structure which can result in substantial evaluation time…

Molecular Networks · Quantitative Biology 2018-01-15 Ian Vernon , Junli Liu , Michael Goldstein , James Rowe , Jen Topping , Keith Lindsey

Dynamical systems modeling, particularly via systems of ordinary differential equations, has been used to effectively capture the temporal behavior of different biochemical components in signal transduction networks. Despite the recent…

Quantitative Methods · Quantitative Biology 2023-01-06 Nathaniel J. Linden , Boris Kramer , Padmini Rangamani

The analysis of data from multiple experiments, such as observations of several individuals, is commonly approached using mixed-effects models, which account for variation between individuals through hierarchical representations. This makes…

Computation · Statistics 2026-03-05 Henrik Häggström , Sebastian Persson , Marija Cvijovic , Umberto Picchini

Computer simulations have become an important tool across the biomedical sciences and beyond. For many important problems several different models or hypotheses exist and choosing which one best describes reality or observed data is not…

Quantitative Methods · Quantitative Biology 2010-01-20 Tina Toni , Michael P. H. Stumpf

Various AI models are increasingly being considered as part of clinical decision-support tools. However, the trustworthiness of such models is rarely considered. Clinicians are more likely to use a model if they can understand and trust its…

Artificial Intelligence · Computer Science 2020-03-09 Evangelia Kyrimi , Somayyeh Mossadegh , Nigel Tai , William Marsh

Bayesian neural networks (BNNs) have recently regained a significant amount of attention in the deep learning community due to the development of scalable approximate Bayesian inference techniques. There are several advantages of using…

Machine Learning · Statistics 2019-05-28 Aliaksandr Hubin , Geir Storvik

Recent technological advances have made it possible to simultaneously measure multiple protein activities at the single cell level. With such data collected under different stimulatory or inhibitory conditions, it is possible to infer the…

Applications · Statistics 2011-08-04 Ruiyan Luo , Hongyu Zhao

Biological systems are often modeled as a system of ordinary differential equations (ODEs) with time-invariant parameters. However, cell signaling events or pharmacological interventions may alter the cellular state and induce multi-mode…

Quantitative Methods · Quantitative Biology 2020-04-28 Bing Liu

We introduce a general framework that extends Bayesian inference by allowing the researcher to explicitly encode confidence in each source of uncertainty within the model. This mechanism provides a new handle for model design and…

Methodology · Statistics 2026-05-06 Rafael Mouallem Rosa , Julyan Arbel , Hien Duy Nguyen

The vast amount of biological knowledge accumulated over the years has allowed researchers to identify various biochemical interactions and define different families of pathways. There is an increased interest in identifying pathways and…

Applications · Statistics 2011-11-24 Francesco C. Stingo , Yian A. Chen , Mahlet G. Tadesse , Marina Vannucci

Parameter inference and uncertainty quantification are important steps when relating mathematical models to real-world observations, and when estimating uncertainty in model predictions. However, methods for doing this can be…

Quantitative Methods · Quantitative Biology 2025-08-27 Michael J. Plank , Matthew J. Simpson

It is oftentimes impossible to understand how machine learning models reach a decision. While recent research has proposed various technical approaches to provide some clues as to how a learning model makes individual decisions, they cannot…

Machine Learning · Computer Science 2017-05-25 Wenbo Guo , Kaixuan Zhang , Lin Lin , Sui Huang , Xinyu Xing

Accurate comparisons between theoretical models and experimental data are critical for scientific progress. However, inferred physical model parameters can vary significantly with the chosen physics model, highlighting the importance of…

High Energy Physics - Phenomenology · Physics 2025-10-27 Sunil Jaiswal , Chun Shen , Richard J. Furnstahl , Ulrich Heinz , Matthew T. Pratola

Exponential random graph models (ERGMs) are a widely used framework for network data, enabling hypothesis testing on the structural mechanisms underlying observed networks. Bayesian ERGMs provide principled uncertainty quantification and…

Methodology · Statistics 2026-05-26 Alberto Caimo , Isabella Gollini

Almost all fields of science rely upon statistical inference to estimate unknown parameters in theoretical and computational models. While the performance of modern computer hardware continues to grow, the computational requirements for the…

Computation · Statistics 2022-10-25 David J. Warne , Ruth E. Baker , Matthew J. Simpson

Modelling a complex system is almost invariably a challenging task. The incorporation of experimental observations can be used to improve the quality of a model, and thus to obtain better predictions about the behavior of the corresponding…

Computational Physics · Physics 2015-11-24 Massimiliano Bonomi , Carlo Camilloni , Andrea Cavalli , Michele Vendruscolo
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