We develop and apply interdisciplinary approaches, including novel mathematical theories, computational methods and data analytics tools, to study structures and complex systems in the life sciences and beyond
at
the University of Rhode Island
Our research group studies structures and systems related to human diseases, ranging from biomolecular conformations to pathogen evolutionary patterns and transmission networks. We develop interdisciplinary approaches, including mathematical theories, models, computational methods and data analytics tools, to analyze structures and their associated properties, such as biological functions, pathological mechanisms, pathogen evolution and transmission dynamics. We integrate and apply these approaches to address challenges in the life sciences, public health and medicine.
Discrete Applied Mathematics
2021
This theoretical work introduces a novel polynomial for encoding tree structures. It provides an accurate, efficient and interpretable matrix representation for analyzing trees using modern data analytics tools.
PLOS Computational Biology
2024
R-loops are non-canonical nucleic acid structures linked to cancer and genetic disorders. This work introduces a computational pipeline that predicts R-loop formation sites using tree polynomials.
Nature Microbiology
2022
Advancements in sequencing technology have produced a wealth of pathogen genome data. This work calls for innovative approaches to leverage these data for enhancing research in infectious diseases.
Our team includes researchers from across disciplines, spanning mathematics, computer science, the life sciences, and public health. We bring together our expertise to study structures and complex systems related to human diseases. We share a commitment to research that advances mathematical theories, fundamental science and innovative solutions to real-world problems through interdisciplinary collaboration.
Dr. Pengyu (Peter) Liu works at the interface of mathematics, molecular biology and infectious diseases. He leads the S.A.I.L. research group.
We are seeking motivated and open-minded graduate students and research assistants to join our interdisciplinary research team.