Major arterial occlusion can lead to serious health complications such as peripheral arterial disease and ischemic stroke. Pre-existing collateral vessels provide alternate routes for blood flow when a major artery is occluded, thereby supplying oxygen to tissue regions downstream of an occlusion. However, the extent to which collateral vessels are able to compensate for a major arterial occlusion is not fully understood. Mathematical modeling is used in this study to determine the role of collaterals in flow compensation following occlusion and to elucidate which vascular response mechanisms facilitate the recruitment and dilation of collateral vessels. A wall mechanics model is developed and applied to a rat hindlimb model of femoral arterial occlusion and a human brain model of middle cerebral arterial occlusion. The model incorporates both acute vascular responses (e.g., immediate vessel constriction and dilation) and chronic vascular responses (e.g., arteriogenesis and angiogenesis). In the hindlimb model, dilation of the collateral vessel and arteriogenesis were predicted to be the most significant factors leading to increased flow following occlusion. The model is adapted to a simplified geometry of the cerebral circulation to assess the role of leptomeningeal collaterals in compensating for a middle cerebral artery occlusion. This model will yield predictions of blood and tissue oxygenation in the posterior, anterior, and middle cerebral regions and will be eventually compared to data on the collateral formation and infarct volume measured during acute ischemic stroke.
Contributed talk session: CT01
Monday, July 17 at 2:30pm
Contributed talk session: CT01
CT01-CARD-1: CARD Subgroup Contributed Talks
- Erin Zhao Indiana University-Purdue University Indianapolis "Mathematical modeling of arterial occlusion"
- Keshav Patel University of Utah "A Spatially Averaged Model for Platelet Cohesion by Von Willebrand Factor and Fibrinogen"
- Michael Watson University of New South Wales "Journey to the Centre of the Plaque: A PDE Model of Necrotic Core Localisation in Atherosclerosis"
- Solomon Feuerwerker University of Vermont Larner College of Medicine "Parsing the effects of differential programmed cell death pathways on plaque stability in atherosclerosis using an agent-based model"
CT01-CDEV-1: CDEV Subgroup Contributed Talks
- David Holloway British Columbia Institute of Technology "Size regulation of the lateral organ initiation zone and its role in determining cotyledon number in conifers"
- Merlin Pelz University of British Columbia "The Emergence of Spatial Patterns with Diffusion-Coupled Compartments with Activator-Inhibitor Kinetics in 1-D and 2-D"
- Renee Dale Donald Danforth Plant Science Center "Competition for resources during semi-sequential growth of developmental units drive allometric patterns in the grass Setaria"
- Samantha Ivings University of Sheffield "Connecting abstract maths to cell biology: A novel vertex model for predicting pluripotent stem cell lineage decisions, capturing cell symmetries through internal node dynamics"
CT01-ECOP-1: ECOP Subgroup Contributed Talks
- Brendon McGuinness McGill University "Optimization of resource consumption traits shape community structure and the strength of niche and neutral processes in competitive communities"
- Farshad Shirani Georgia Institute of Technology "Competition, Phenotypic Adaptation, and the Evolution of a Species’ Range"
- Maud El-Hachem CSIRO (Commonwealth Scientific and Industrial Research Organisation) "Coexistence in two-species competition with delayed maturation"
- Zhao (Wendy) Wang McGill University "Dynamics of a reduced gene regulation model with transport-driven state-dependent delay"
CT01-IMMU-1: IMMU Subgroup Contributed Talks
- Benjamin Whipple University of Idaho "Regulation of CD8+ T cells may explain age dependent immune response to influenza infection"
- Bryan Shin University of Vermont Larner College of Medicine "Examining B-cell dynamics and responsiveness in different inflammatory milieus using an agent-based model"
- Quiyana M. Murphy Virginia Tech "Understanding Neutrophil Dynamics during COVID-19 Infection"
CT01-IMMU-2: IMMU Subgroup Contributed Talks
- Jason E. Shoemaker University of Pittsburgh "Sex-specific immunoregulation: Computational modeling approaches to determine why biological females may experience greater inflammation during influenza infection"
- Elizabeth R Duke Fred Hutchinson Cancer Center "Intrahost mathematical modeling of CAR T cells for HIV cure"
- Vitaly V. Ganusov University of Tennessee "Using mathematical modeling to determine pathways of Mycobacterium tuberculosis dissemination in mice"
- Alexis Hoerter Purdue University "Agent Based Model Investigating Latent and Naïve In Vitro M. Tuberculosis Infection Dynamics"
CT01-MEPI-1: MEPI Subgroup Contributed Talks
- Christopher Mitchell Tarleton State University "Using Bayesian Methods to Infer Parameters for ODE Epidemic Systems"
- Rodolfo Blanco-Rodriguez University of Idaho "Modeling the impact of contact network and viral evolution on lockdown and vaccination strategies"
- Soyoung Kim National Institute for Mathematical Sciences "Optimal antiviral stockpile for influenza pandemic"
- Zitao He University of Waterloo "Predicting measles outbreaks from vaccine sentiments on social media"
CT01-MFBM-1: MFBM Subgroup Contributed Talks
- Connor McShaffrey Indiana University Bloomington "Decomposing Viability Space"
- Holly Huber University of Southern California "Systematic Bayesian Posterior Analysis Facilitates Hypothesis Formation and Guides Investigation of Pancreatic Beta Cell Signaling"
- Nathaniel Linden University of California San Diego "Multimodel modeling for blood glucose and insulin measurements in diabetes"
- Robert DeJaco National Institute of Standards and Technology "Reducing Bias and Quantifying Uncertainty in Fluorescence Produced By PCR"
CT01-ONCO-1: ONCO Subgroup Contributed Talks
- Daniel Glazar Moffitt Cancer Center & Research Institute "A simulation-based sample size analysis of a joint model of longitudinal and survival data for patients with glioma"
- Guillermo Lorenzo University of Pavia, Italy "Personalized MRI-informed predictions of prostate cancer growth during active surveillance"
- Jason T. George Texas A&M University "Physical Modeling of the T Cell-Peptide Interaction: Toward Predictive T Cell Immunotherapy"
- Jeffrey West Moffitt Cancer Center "Markov models predict minimal residual disease in Adult B-Lymphoblastic Leukemia"
CT01-ONCO-2: ONCO Subgroup Contributed Talks
- Chloe Colson University of Oxford "Investigating the impact of growth arrest mechanisms on tumour responses to combinations of radiotherapy and hyperthermia"
- Louis Kunz Massachusetts General Hospital and Harvard Medical School "AMBER (Agent-based Modeling of Biophysical Evolution after Radiotherapy): a computational tumor model as the first step to simulate radiation response."
- Noemi Andor Moffitt Cancer Center "Modeling competition between subpopulations with variable DNA content in resource limited microenvironments"
- Paul Macklin Indiana University "A new grammar for real-time and reproducible modeling of multicellular interactions in cancer"
CT01-OTHE-1: OTHE Subgroup Contributed Talks
- Caleb Mayer University of Michigan "Mathematical Modeling of Circadian Rhythms Across Populations with Consumer-Grade Wearable Data"
- Edward J Hancock The University of Sydney "Modelling the Synchronization of the Membrane and Calcium Clocks in Lymphatic Muscle Cells"
- Haniyeh Fattahpour Georgia State University "Mathematical modeling of cell growth in a tissue engineering scaffold pore"
- Yue Wu Stanford University "Classify dynamic responses to food through time-series glucose data"