Backtracking of RNA polymerase (RNAP) is an important pausing mechanism during DNA transcription that is part of the error correction process. We model the backtracking mechanism of RNA polymerase which usually happens when the polymerase tries to incorporate a mismatched nucleotide. Previous models have made simplifying assumptions such neglecting the trailing polymerase behind the backtracking polymerase or assuming that the trailing polymerase is stationary. We derive exact analytic solutions of a discrete stochastic model that includes interacting (exclusionary) RNAPs by explicitly showing how a trailing RNAP influences the probability that an error is corrected or incorporated by the leading backtracking RNAP. Moments of conditional first passage times to error correction or error incorporation are also computed. We also develop a very similar model for describing translation-transcriptional coupling during which a ribosome simultaneously elongates (and produces a polypeptide) while interacting with the leading RNAP.
Wednesday, June 16 at 09:30am (PDT)Wednesday, June 16 at 05:30pm (BST)Thursday, June 17 01:30am (KST)
MS13-CBBS: Lattice Models and Agent-Based Models in Biology: Linking Individual Properties to Population Properties
Organized by: Bhargav Karamched (Florida State University, United States of America) Note: this minisymposia has multiple sessions. The second session is MS12-CBBS.
- Tom Chou (University of California - Los Angeles, United States of America) "RNA polymerase and ribosome interactions in transcriptional error correction and translation-transcription coupling"
- Claudia Neuhauser (University of Houston, United States of America) "Fighting Cancer with Viruses--Mathematical Models to Guide Therapy"
- James Glazier (Indiana University, United States of America) "Multicellular modeling of viral infection and immune response in epithelial tissues and response to drug therapy"
- Joanna Wares (University of Richmond, United States of America) "Developing a computational modeling course in the time of COVID-19"
MS13-CDEV: Combining modeling and inference in cell biology
Organized by: Maria-Veronica Ciocanel (Duke University, United States), John Nardini (North Carolina State University, United States) Note: this minisymposia has multiple sessions. The second session is MS14-CDEV.
- Alexandria Volkening (Northwestern University, United States) "Topological methods for quantitatively describing cell-based patterns"
- Fiona Macfarlane (University of Saint Andrews, United Kingdom) "A hybrid discrete-continuum approach to model Turing pattern formation"
- Suzanne Sindi (University of California Merced, United States) "Multi-Scale Modeling and Parameter Inference in Yeast Protein Aggregation"
- Adam MacLean (University of Southern California, United States) "Bayesian inference of Calcium signaling dynamic provides a map from single-cell gene expression to cellular phenotypes"
MS13-DDMB: Numerical methods in biomedical sciences
Organized by: Yifan Wang (University of California, Irvine, USA), Pejman Sanaei (New York Institute of Technology, USA) Note: this minisymposia has multiple sessions. The second session is MS14-DDMB.
- Feng Fu (Dartmouth University, USA) "Mathematical Modeling of Combination Cancer Immunotherapy"
- Pejman Sanaei (Mathematical modeling in tissue engineering, USA) "Mathematical modeling in tissue engineering"
- Yifan Wang (University of California Irvine, USA) "Lattice Boltzmann approach to study the evolutionary dynamics of stem-cell driven cancer"
- Min-jhe Lu (Department of Mathematics, Illinois institute of technology, Chicago, Illinois, USA) "Nonliner simulation of vascular tumor growth with a necrotic core and chemotaxis"
MS13-ECOP: Ecological models at the interface of empirical and theoretical research
Organized by: Amanda Laubmeier (Texas Tech University, United States), Kyle Dahlin (University of Georgia, United States)
- TBD TBD (TBD, TBD) "TBD"
- Annabel Meade (North Carolina State University, United States) "Population model for the invasive insect Homalodisca vitripennis and the egg parasitoid Cosmocomoidea ashmeadi"
- Sofya Zaytseva (University of Georgia, United States) "Pattern Formation in Intertidal Oyster Reefs"
- Shandelle Henson (Andrews University, United States) "Climate Change and Tipping Points for Seabird Colonies in the North American Pacific Northwest"
MS13-EDUC: Recent Perspectives on Mathematical Education
Organized by: Stacey Smith? (The University of Ottawa, Canada) Note: this minisymposia has multiple sessions. The second session is MS14-EDUC.
- Kara Allum (Oxford University, United Kingdom) "Maths is for everyone: why interdisciplinary and DEI focused approaches should be the basis of high school outreach"
- Kathleen Hoffman (University of Maryland, Baltimore County, USA) "Extending Quantitative Reasoning in the Biological Sciences"
- Shelby Scott (University of Tennessee at Knoxville, USA) "Things I learned as an interdisciplinary graduate student"
- Glenn Ledder (University of Nebraska, Lincoln, USA) "A Teaching Module for Mathematical Epidemiology Using Matlab or R"
MS13-EVOP: Social Networks and Opinion Dynamics
Organized by: Daniel Simonson (University of California, Irvine, USA), Samuel Lopez (University of California, Irvine, USA)
- Maxi San Miguel ( Institute for Cross-Disciplinary Physics and Complex Systems - Campus Universitat de les Illes Balears, Spain) "Coevolution dynamics of opinion and social network"
- Tomasz Raducha ( IFISC, Institute for Cross-disciplinary Physics and Complex Systems (UIB-CSIC), Spain) "Vulnerabilities of democratic electoral systems: zealot and media-susceptibility"
- Daniel Simonson (University of California, Irvine, USA) " The effects of opinion weighting, (dis)agreement, and external influence on social group formation"
- Gyorgy Korniss ( Rensselaer Polytechnic Institute, USA) "The Impact of Heterogeneous Thresholds on Social Contagion and Influencing with Multiple Initiators"
MS13-IMMU: Immunobiology and Infection Subgroup mini-symposium
Organized by: Stanca Ciupe (Virginia Tech, United States), Jessica Conway (Penn State University, USA), Amber Smith (University of Tennessee Health Science Center, USA), Jonathan Forde (Hobart and William Smith Colleges, USA) Note: this minisymposia has multiple sessions. The second session is MS14-IMMU.
- James Faeder (University of Pittsburg, USA) "Multiscale Modeling of Viral Replication and Interferon-mediated Immune Responses"
- Hana Dobrovolny (Texas Christian University, USA) "An ODE model of syncytia formation during viral infections"
- Daniel Reeves (Fred Hutchinson Cancer Research Center, USA) "Merging viral dynamics and phylogenetics reveals host-mediated selection may be sufficient, but not necessary, to explain within-host HIV evolution"
- Jessica Conway (Penn State University, USA) "Unified model of short- and long-term HIV viral rebound"
MS13-MEPI: Vector-borne Diseases: Data, Modeling, and Analysis
Organized by: Jing Chen (Nova Southeastern University, United States), Shigui Ruan (University of Miami, United States), Xi Huo (University of Miami, United States) Note: this minisymposia has multiple sessions. The second session is MS06-MEPI.
- Rongsong Liu (University of Wyoming, United States) "Using Multiple Dose Pharmacokinetic Models to Predict Bioavailability of Toxins in Vertebrate Herbivores"
- Yanyu Xiao (University of Cincinnati, United States) "Examine the dehydration effects on the behaviours of insects"
- William Fitzgibbon (University of Houston, United States) "Mathematical Models for the Spatio Temporal Spread of Vector Born Disease in Highly Heterogeneous Domains: Part I"
- Jeffrey Morgan (University of Houston, United States) "Mathematical Models for the Spatio Temporal Spread of Vector Born Disease in Highly Heterogeneous Domains: Part II"
MS13-MFBM: Data-driven methods for biological modeling in industry
Organized by: Kevin Flores (North Carolina State University, USA) Note: this minisymposia has multiple sessions. The second session is MS14-MFBM.
- Anna Sher (Pfizer, USA) "Quantitative Systems Pharmacology (QSP) in cardiovascular disease: Preclinical case studies with real-world data"
- Doris Fuertinger (Fresenius Medical Care, Germany) "1 year of precision therapy: Experiences in optimal drug administration based on an individualized biomathematical anemia model"
- Alhaji Cherif (Renal Research Institute, USA) "Bone and mineral disturbances in uremic patients"
- Malidi Ahamadi (Amgen, USA) "Disease progression platform for Leucine-Rich Repeat Kinase 2 in Parkinson's Disease to Inform Clinical Trial Designs"
MS13-MMPB: Dynamics of hematopoiesis in health and disease - from governing principles to clinical implications
Organized by: Peter Ashcroft (ETH Zurich, Switzerland), Tony Humphries (McGill University, Canada), Morten Andersen (Roskilde University, Denmark) Note: this minisymposia has multiple sessions. The second session is MS12-MMPB.
- Lora Bailey (Grand Valley State University, USA) "The resilience of hematopoietic feedback networks against mutations"
- Mia Brunetti (Université de Montréal, Centre de recherche du CHU Sainte-Justine, Canada) "Mathematical modelling of the pre-leukemic phase of AML to evaluate clonal reduction therapeutic strategies"
- Derek Park (Department of Integrated Mathematical Oncology, Moffitt Cancer Center, USA) "Deep Reinforcement Learning of Optimal Chemotherapy Scheduling Demonstrates a Robustness vs. Performance Tradeoff in Patient Outcomes"
- John Higgins (Department of Systems Biology, Harvard Medical School; Department of Pathology, Massachusetts General Hospital, USA) "Population dynamics of circulating blood cells in the pathogenesis and diagnosis of some common diseases"
MS13-NEUR: Mathematical modeling approaches to understanding pain processing and chronic pain therapies
Organized by: Jennifer Crodelle (Middlebury College, USA), Kevin Hannay (University of Michigan, USA), Victoria Booth (University of Michigan, USA)
- Jennifer Crodelle (Middlebury College, USA) "Firing-rate models for analyzing spinal circuit motifs underlying chronic pain"
- Warren Grill (Department of Biomedical Engineering, Duke University, USA) "Network Models to Analyze and Design Spinal Cord Stimulation for Chronic Pain"
- Steven A Prescott (Neurosciences and Mental Health, The Hospital for Sick Children; Department of Physiology and Institute of Biomedical Engineering, University of Toronto , Canada) "Altered processing of tactile input due to chloride dysregulation in the spinal dorsal horn "
- Scott Lempka (Department of Biomedical Engineering, University of Michigan; Department of Anesthesiology, University of Michigan; Biointerfaces Institute, University of Michigan, USA) "Computational modeling of neural recruitment during spinal cord stimulation for pain"
MS13-ONCO: Frontiers in Mathematical Oncology
Organized by: Kasia Rejniak & Heiko Enderling (Moffitt Cancer Center, USA)
- Thomas E. Yankeelov (The University of Texas at Austin, USA) "Imaging-based mathematical modeling of brain cancer across scales"
- Arne Traulsen (Max Planck Institute for Evolutionary Biology, Germany) "Measuring cancer heterogeneity and possibilities of exploiting it in treatment"
- Angélique Stéphanou (University of Grenoble, France) "Cell metabolism and intracellular acidity regulation in cancer cells, from experimental characterization to computational models with therapeutic perspectives"
- Elizabeth Wayne (Carnegie Mellon University, USA) "Developing experimental and mathematical models to measure changes in tumor associate macrophage polarization in response to immunotherapy"