A well-calibrated mathematical model and an understanding of uncertainties in model predictions are essential for generating a digital twin. Creating a patient-specific cardiovascular model typically involves two key steps: (i) constructing the vascular domain and (ii) performing hemodynamic simulations. The vascular domain is usually obtained by segmenting CT or MRI scans to reconstruct the vascular network. Once constructed, hemodynamic simulations are conducted using inferred model parameters that minimize discrepancies between computed results and available physiological data. This talk will addres challenges in generating 1D network models with multiple branching generations and detecting abnormalities within these networks. One significant challenge is the automatic extraction of vessel centerlines, which is crucial for 1D modeling. We focus on a skeletonization-based method for centerline extraction, which iteratively removes voxels until only a single-voxel-wide path remains within each vessel. Using statistical change-point analysis, we construct a labeled directed graph (a tree) that encodes vessel connectivity, radii, and lengths. By sampling from normal distributions of these quantities with a 1D fluid dynamics model, we explore how uncertainties in geometry affect hemodynamic predictions. Our results emphasize the importance of accounting for image-based uncertainty in medical modeling.
Minisymposia: MS03
Tuesday, July 15 at 10:20am
Minisymposia: MS03
Timeblock: MS03
CARD-02
(Part 3)
Novel multiscale and multisystem approaches to cardiovascular modeling and simulation
Timeblock: MS03
CARD-02
(Part 3)
Organized by: Mitchel J. Colebank (University of South Carolina), Vijay Rajagopal, The University of Melbourne, Australia
Note: this minisymposia has multiple sessions. The other sessions are: Part-1, Part-2, and Part-4.
- Mette Olufsen North Carolina State University "An uncertainty aware framework for generating vascular networks from imaging"
- Sara Johnson University of Puget Sound "Modeling Microglial Response to MCAO-Induced Ischemic Stroke"
- Simon Walker-Samuel University College London "Using physics-informed deep generative learning to model blood flow in the retina"
- Mitchel Colebank University of South Carolina "Effects of vasomotor tone on systemic vascular wave reflections"
Timeblock: MS03
ECOP-04
Nonlinearity and Nonlocality: Complex Dynamics in Models of Animal Movement
Timeblock: MS03
ECOP-04
Organized by: Alex Safsten (University of Maryland), Abba Gumel
- Thomas Hillen University of Alberta "Go-or-Grow Models in Biology: a Monster on a Leash"
- Mark Lewis University of Victoria "Nonlocal Multispecies Advection-Diffusion Models"
- Rebecca Tyson University of British Columbia Okanagan Campus "The Importance of Exploration: Modelling Site-Constant Foraging"
- Chris Cosner University of Miami "Mean Field Games and the Ideal Free Distribution"
Timeblock: MS03
ECOP-10
(Part 2)
Applications of Evolutionary Game Theory and Related Frameworks: From Cells to Societies
Timeblock: MS03
ECOP-10
(Part 2)
Organized by: Daniel Cooney (University of Illinois Urbana-Champaign), Olivia Chu (Bryn Mawr College) and Alex McAvoy (University of North Carolina, Chapel Hill)
Note: this minisymposia has multiple sessions. The other session is: and Part-1.
Note: this minisymposia has been accepted, but the abstracts have not yet been finalized.
Timeblock: MS03
MEPI-03
Delayed and structured dynamics of infection and epidemic models
Timeblock: MS03
MEPI-03
Organized by: Tyler Cassidy (University of Leeds), Tony Humphries (McGill University)
- Tianyu Cheng York University "Recurrent patterns of disease spread post the acute phase of a pandemic: insights from a coupled system of a differential equation for disease transmission and a delayed algebraic equation for behavioural adaptation"
- Tony Humphries McGill University "An immuno-epidemiological model with threshold delay"
- Andrea Pugliese University of Trento "A multi-season epidemic model with random drift in immunity and transmissibility"
- Tyler Cassidy University of Leeds "Multi-stability in an infectious disease model with waning and boosting of immunity"
Timeblock: MS03
MEPI-08
(Part 1)
Modeling Complex Adaptive Systems in Life and Social Sciences
Timeblock: MS03
MEPI-08
(Part 1)
Organized by: Yun Kang (Arizona State University), Tao Feng, Yangzhou University & University of Alberta
Note: this minisymposia has multiple sessions. The other sessions are: Part-2, and Part-3.
- Gail SK Wolkowicz McMaster University "Analysis of a New Discrete Two-Species Competition Model"
- Zhisheng Shuai University of Central Florida "A Tale of Two Incidence Functions in Epidemiological Models"
- Qi Deng York University "Simulating the impact of a chlamydia vaccine in the US: An agent-based modeling approach"
- Hermann J Eberl University of Guelph "Oscillations in a simple model of quorum sensing controlled EPS production in biofilms"
Timeblock: MS03
MEPI-10
(Part 1)
Mathematical Epidemiology: Infectious disease modeling across time, space, and scale
Timeblock: MS03
MEPI-10
(Part 1)
Organized by: Meredith Greer, Prashant Kumar Srivastava, Michael Robert (Bates College), Prashant Kumar Srivastava (Indian Institute of Technology, Patna) and Michael Robert (Virginia Tech)
Note: this minisymposia has multiple sessions. The other session is: and Part-2.
- Iulia Martina Bulai University of Torino, Italy "Modeling fast information and slow(er) disease spreading"
- Konstantinos Mamis University of Washington "Modeling correlated uncertainties in stochastic compartmental models"
- Elizabeth Amona Virginia Commonwealth University "Essential Workers at Risk: An Agent-Based Model with Bayesian Uncertainty Quantification"
- Dongju Lim KAIST "History-dependent framework of infectious disease dynamics"
Timeblock: MS03
MEPI-11
(Part 1)
Advances in infectious disease modelling: towards a unifying framework to support the needs of small and large jurisdictions
Timeblock: MS03
MEPI-11
(Part 1)
Organized by: Amy Hurford (Memorial University), Michael Li, Public Health Agency of Canada
Note: this minisymposia has multiple sessions. The other sessions are: Part-2, and Part-3.
- Michael WZ Li Public Health Agency of Canada "Modeling and Prospects to Support Small Jurisdiction Public Health in Canada"
- Wendy Xie National Collaborating Centre for Infectious Diseases "Lessons learned from the In the Equation Workshop: Towards Indigenous-led infectious disease modelling"
- James Watmough University of New Brunswick "Predicting population level immune landscapes in small communities."
- Abdou Fofana and Amy Hurford Memorial University "Fitting and counterfactual scenarios for epidemiological data describing intermittent periods of travel-related cases and community spread"
Timeblock: MS03
MFBM-02
Bayesian Applications in Mathematical Biology
Timeblock: MS03
MFBM-02
Organized by: Daniel Glazar (Moffitt Cancer Center & Research Institute), Renee Brady-Nicholls, Moffitt Cancer Center & Research Institute
- Franz Kuchling Allen Discovery Center, Tufts University "Uncertainty Minimization as an Adaptive and Evolutionary Imperative in Biology"
- Nathanaël Hozé Université Paris Cité, INSERM, IAME, F-75018, Paris, France "A multi-scale modelling framework to assess the relationship between SARS-CoV-2 viral load and transmission in household studies"
- Kathleen Wilkie Toronto Metropolitan University "Practical Parameter Identifiability and Handling of Censored Data with Bayesian Inference in Models of Tumour Growth"
- Ernesto A. B. F. Lima The University of Texas at Austin "Modeling tumor sensitivity and resistance: a bayesian framework for predicting combination therapies"
Timeblock: MS03
MFBM-03
(Part 1)
Methods for whole cell modelling
Timeblock: MS03
MFBM-03
(Part 1)
Organized by: Jennifer Flegg (University of Melbourne), Prof Mat Simpson, Queensland University of Technology
Note: this minisymposia has multiple sessions. The other session is: and Part-2.
- Ruth Baker University of Oxford "Optimal experimental design for parameter estimation in the presence of observation noise"
- Yong See Foo University of Melbourne "Quantifying structural uncertainty in chemical reaction network inference"
- Michael Pan The University of Melbourne "Thermodynamic modelling of membrane transport processes using bond graphs"
- Jean (Jiayu) Wen The Australian National University "Advancing Genomic Foundation Models with Electra-Style Pretraining: Efficient and Interpretable Insights into Gene Regulation"
Timeblock: MS03
MFBM-06
Using Sensitivity Analysis and Uncertainty Quantification to Develop or Improve Biomathematical Models
Timeblock: MS03
MFBM-06
Organized by: Kelsey Gasior (University of Notre Dame)
- Samuel Oliver Swansea University "The role of EMT in Ovarian Cancer: Insights from a Mathematical Model"
- Nate Kornetzke University of New Mexico "Turn down that noise! Uncertainty quantification for stochastic models of emerging infectious pathogens"
- Steve Williams University of California, Merced "Examining models of phenotype selection in populations of bacteria under external predatory stress"
- Kelsey Gasior University of Notre Dame "Comparative Sensitivity Analyses and Modeling the Epithelial Mesenchymal Transition"
Timeblock: MS03
MFBM-09
(Part 1)
Probability & stochastic processes in biology: models, methods, and community
Timeblock: MS03
MFBM-09
(Part 1)
Organized by: Jinsu Kim (POSTECH), Eric Foxall (The University of British Columbia - Okanagan Campus), and Linh Huynh (Dartmouth College)
Note: this minisymposia has multiple sessions. The other sessions are: Part-2, Part-3, and Part-4.
- Jinsu Kim POSTECH "Stability of stochastic biochemical reaction networks"
- Daniel Schultz Dartmouth College "Emergence of heterogeneity during bacterial antibiotic responses"
- Anna Kraut St. Olaf College "Evolution across fitness valleys in a changing environment"
- Eric Foxall UBC Okanagan "Perturbation theory of reproductive value for branching Markov processes"
Timeblock: MS03
MFBM-17
(Part 1)
Immune Digital Twins: Mathematical and Computational Foundations
Timeblock: MS03
MFBM-17
(Part 1)
Organized by: Tomas Helikar (University of Nebraska - Lincoln), Juilee Thakar (Juilee_Thakar@URMC.Rochester.edu) - University of Rochester Medical Center James Glazier (jaglazier@gmail.com) - Indiana University
Note: this minisymposia has multiple sessions. The other sessions are: Part-2, and Part-3.
- Elsje Pienaar Purdue University "Patient-specific Immuno-profiles in Mechanistic Models: CD8+ T cell Exhaustion in children with perinatal HIV"
- James A. Glazier Indiana University, Bloomington "Medical Digital Twins: Addressing Simulation Equivalence Challenges in Virtual-Tissue Models"
- Hana Dobrovolny Texas Christian University "Incorporating the immune response into models of oncolytic virus treatment of cancer"
- Jason E. Shoemaker University of Pittsburgh "Network representation of sex-specific immunity: A steppingstone to digital twins?"
Timeblock: MS03
ONCO-02
Advances in Optimal Control Methods for Diverse Modeling Frameworks
Timeblock: MS03
ONCO-02
Organized by: Hannah Anderson (Moffitt Cancer Center), Kasia Rejniak, Moffitt Cancer Center
- Hannah Anderson Moffitt Cancer Center "Evaluating robustness of an optimized regimen in a virtual murine cohort of bladder cancer"
- Christian Parkinson Michigan State University "Optimal control of a reaction-diffusion epidemic model with noncompliance"
- Xinyue Zhao University of Tennessee Knoxville "Optimal control of free boundary models for tumor growth"
- Luis Maria Lopes da Fonseca University of Florida "Surrogate modeling and control of medical digital twins"
Timeblock: MS03
OTHE-10
(Part 2)
Emerging areas in Mathematical Biology: Celebrating research from the Mathematical Biosciences Institute
Timeblock: MS03
OTHE-10
(Part 2)
Organized by: Veronica Ciocanel (Duke University), Hye-Won Kang, University of Maryland Baltimore County
Note: this minisymposia has multiple sessions. The other session is: and Part-1.
- Grzegorz Rempala The Ohio State University "Modeling Epidemics on Networks"
- Paul Hurtado University of Nevada, Reno "SIER-type ODE models with phase-type latent and infectious period distributions"
- Deena Schmidt University of Nevada, Reno "Modeling network formation in ecological systems"
- Katarzyna Rejniak Moffitt Cancer Center "Data-driven models for guiding adoptive cell therapies in bladder cancer"