Patient subtyping
OMT / Wasserstein-distance clustering to define subtypes across breast, ovarian, sarcoma, melanoma, and lung cancers.
Research
Four connected programs, one through-line: innovative mathematical models that turn patient and disease variability into more precise, less toxic treatment.
Program 01 · Mathematical Oncology Initiative
Multimodal cancer datasets — genomics, computational pathology, radiomics — are high-dimensional and noisy, and conventional correlation-based analyses poorly capture the geometric structure needed to define clinically meaningful cancer subtypes. The Mathematical Oncology Initiative applies advanced, innovative mathematics to this problem, adapting optimal mass transport (OMT) and graph-based methods to cluster samples, integrate multi-omic networks, and surface therapeutic targets.
The initiative has a deliberate second goal: to mentor and train talented fellows and junior faculty in these methods. It is supported by the Breast Cancer Research Foundation and the Simons Foundation.
OMT / Wasserstein-distance clustering to define subtypes across breast, ovarian, sarcoma, melanoma, and lung cancers.
Curvature and geometric analysis of gene-interaction networks to find fragile points and candidate drug targets.
Hypothesis generation — e.g., pregnancy-specific glycoproteins as candidate lung-cancer drug targets.
Program 02 · ECHO
Intensity-modulated radiotherapy planning is a high-dimensional optimization problem (more than 10,000 variables) that trades tumor coverage against sparing many normal tissues. Conventional weighted-sum methods give planners poor, unintuitive control over the resulting trade-offs. ECHO (Expedited Constrained Hierarchical Optimization) solves the most clinically critical objectives first, then admits lower-priority objectives as constraints that preserve what has already been achieved — yielding explicit, reproducible, clinically deliverable plans.
ECHO is now used to help plan roughly 23% of all patients treated at MSK and was recognized with 2021 INFORMS Franz Edelman Laureate honors for impact in applied analytics. It was refined and implemented clinically with optimization expert Masoud Zarepisheh, PhD.
Program 03 · Proton & particle radiobiology
Proton and particle therapies deposit dose with a physics profile very different from conventional photons, which changes how tumors and healthy tissues respond. The lab builds mechanistic models of how dose, timing, and tumor biology combine to determine response and toxicity across modalities; our tumor-control models reproduce key clinical observations under both photon and carbon-ion irradiation, giving a quantitative basis for comparing modalities and personalizing prescriptions. This is a long thread — the lab's very first NIH award funded a computer-simulation system for proton radiotherapy.
Program 04 · Digital twins
A "digital twin" is a computational model of an individual patient's tumor that can be simulated forward in time. Building on a parsimonious, mechanistic "energy-budget" model of tumor control developed with Jeho Jeong, the lab combines multimodality imaging (FDG-PET and MRI) with tumor biology to forecast how a given tumor will respond to radiation — and to flag likely non-responders early, while treatment can still be adapted. Related efforts synthesize hypoxia information from routine PET and forecast normal-tissue toxicity at the level of individual image voxels.
Methods & open tools
The lab develops reusable methods and software — from optimal transport and network geometry to mechanistic radiobiology and open-source imaging platforms. The software itself (CERR/pyCERR, ORCO, NetFlow, ViSPACE, FocusNexus, and the AI auto-segmentation models) is collected under Tools for Cancer Research.
Open-source platform for imaging, dose, and radiomics analysis; now native Python.
View repository →Framework for topological representations of high-dimensional biomedical data.
Read the preprint →Geometry that measures how robust or fragile parts of a gene network are, revealing candidate targets.
Read the paper →A parsimonious "energy-budget" model of tumor control, extended into radiobiological digital twins.
Read the paper →Unbalanced, regularized optimal-mass-transport that recovers flow and transport from dynamic imaging and networks — applied from brain glymphatics to breast-cancer DCE-MRI.
Read the paper →NIH ROBIN consortium
ROBIN is a National Cancer Institute network (RFA-CA-21-040) of U54 centers created to apply new biological knowledge to optimize radiation therapy in combination with systemic drugs, immunotherapy, and other agents. The lab is part of the ImmunoRad ROBIN center, led by Weill Cornell Medicine, the University of Chicago, and Memorial Sloan Kettering (U54CA274291; multiple-PIs Silvia Formenti, Ralph Weichselbaum, and Joseph Deasy), which studies how radiation therapy interacts with the immune system — anchored in a rectal cancer bio-repository of tumor, blood and stool samples collected before and after standard treatment. Dr. Deasy also leads the center's Data Sharing and Integrative Analysis core.
The consortium site: aims, teams, cross-training core, research opportunities, and the didactic curriculum.
immunorobin.org →The National Cancer Institute's overview of the network, its member centers, and structure.
dctd.cancer.gov →"Radiation Oncology–Biology Integration Network: bridging the gap between biological research and clinical practice," Clinical Cancer Research (2026).
Read the paper (Clin Cancer Res 32(12):2340, 2026) →A bimonthly primer designed by the ImmunoRad ROBIN Cross-Training Core so that immunologists, radiation and cancer biologists, radiation oncologists, and medical physicists share a common foundation. Recordings are hosted on the consortium site; each year below links to the page with the videos.
Curriculum overview: immunorobin.org/curriculum/fundamentals-of-radiation-and-immunity. Titles are as listed on the consortium schedule.
Milestones
Papers, awards, grants, and program launches over time.
~25 institutions, to directly validate published toxicity-prediction models using patient-specific data.
NIH ImmunoRad center on tissue and immune responses to irradiation in rectal cancer (U54CA274291).
Recognition for ECHO's real-world impact in applied analytics.
Continuous Breast Cancer Research Foundation support for mathematical methods in cancer.
Joins Memorial Sloan Kettering; holder of the Enid A. Haupt Endowed Chair in Medical Physics.
Funding
The lab has been supported by Varian/Siemens, The Breast Cancer Research Foundation, Cycle for Survival, Enid A. Haupt, Richard and Clara Weyergraf-Serra, and multiple NIH grants — currently including the ROBIN U54 (multiple-PI) and NCI R01 projects on brain-metastasis prediction, radiogenomic toxicity models, and AI-guided lung radiotherapy.