• Celebration of Scholars 2020

  • Atmospheric Gas Loss in Hot Jupiters Under Variable Stellar Irradiation
  • Automated Repair of Buffer Overflow
  • Biogeochemical Cycling of Nutrient Elements in Stormwater Retention Ponds
  • Bioinformatic Investigation of Nuclear Transport
  • Buried Alive: Ecology of the Infaunal Sponge Oceanapia
  • Caloric Load Preferentially Influences Epithelial Differentiation in the Murine Uterus to Drive Endometrial Hyperplasia
  • A Compilation of Systems That Are Both Novae and Dwarf Novae
  • Computer Modeling of Nucleophilic Substitution and Beta Elimination Reactions
  • Cubed Sphere: Simulating Tilted Black Hole Accretion Disk and Their Effects on Astrophysical Jets
  • Data Visualization: From Covid-19 to Back on the Bricks
  • Designing a Mobile Flood Warning Application for the Charleston, SC Region
  • Developing a Mobile Application for Flood Warning in the Charleston, SC Region
  • Discovering Authorship of Flawed Code Snippets
  • Dynamic Network Activation of Hypothalamic Neurons in REM Sleep
  • Effect of Storage Temperature and Time on Urine Electrolyte Assessment
  • Effects of Changeover-Requirement Location on Between-Sequence Variation in Pigeons
  • The Effects of Estradiol Treatment on Synaptic Reorganization and Plasticity Around Motoneurons After Traumatic Peripheral Nerve Injury in Mice.
  • Effects of Steroid Hormones on Voluntary Physical Activity Levels
  • Encountering Overdose: An Analysis of College Students' Overdose Experiences
  • Evolution of Pelvis Musculoskeletal Anatomy in Lizards
  • Examining the Back To Bricks Reopening Plan on Various Demographics Within Charleston
  • Expanding LGBTQ+ Responsiveness at CofC Student Health Services
  • Expression-building in Squid 3
  • Growing Up Salty: The Effects of Transient Salinity on Tadpole Growth, Behavior, and Development
  • HailPoint, Broadcasting, and Social Media
  • A Hubble Space Telescope Direct Imaging Investigation of Extrasolar Planets
  • Inter-comparison of Rainfall Measurements from 1- and 2-Dimensional Video Disdrometers
  • Investigating Nanocolloids Using Shadowgraphy
  • Investigating the Effect of Episodic Stellar Activity on Planetary Evolution
  • Investigating Truncated Disk Simulations for Signs of Quasi Periodic Oscillations
  • Lower Extremity Jump-Landing Biomechanics After Anterior Cruciate Ligament Reconstruction with Quadriceps Tendon Versus Patellar Tendon Autografts
  • Mapping Water in the Outer Asteroid Belt - Origins of Life
  • Mars Map Maker: User Empowerment in Meta Data and Data Submission
  • MARS: Middleware for Assisting the Registration of Samples
  • Patterns Observed on Mussel Bed Formation
  • Preliminary Analysis of Bulk Rain Variables Acquired from Laser Precipitation Monitors Mounted at Different Heights on a Vertical Tower
  • Progress Toward Anti-microbial Polymers: Adventures in Small Molecule Synthesis and Polymer Synthesis
  • Properly Resolving the Effective Measurement Area in a High-Fidelity Rain Measurement Device
  • A Religious History of the College of Charleston
  • Simulations of Light Transmission Through a Virtual Cloud
  • Strongly Magnetized Disks & Thermal Stability
  • Subdividing Rain Drop Arrivals into Steady Intervals
  • Synthesis and Spectral Characterization of 6-membered Silanes
  • Teaching Data Science Skills with a Focus on Visualization
  • Thermochemistry of Novel Polymers
  • A Tomographic Scan of the Accretion Disk Around a Supermassive Black Hole
  • Topsoil: An Open-Source Visualization Engine for Geochronological Data
  • Tropical Cyclone Climatology for Columbia and Greenville SC
  • Two-scale Factor Universality of O2: Experiments Under Density Gradients
  • Uncertainty of Heterogeneous Freezing Rate of Water on Muscovite Mica
  • The Use and Abuse of Philosophy in History: James Warley Miles and the Dangers of Racist Dehistoricization
  • Using Sentinel-2 MSI Data to Monitor the Physical Environment of Coral Reefs in the U.S. Virgin Islands
  • Virtual Assistant for Pair Programming (VAPP)
  • Women with HIV's Perception of Coercion During Contraceptive and Infant Feeding Counseling

Student: Chloe Mattila

Major: Mathematics

Mentors: Dr. Stéphane Lafortune

Department: Mathematics

Patterns Observed on Mussel Bed Formation

The general goal of the project is to study a model which describes the formation of mussel beds on soft sediments. The model, which we will call the Mussel Model, captures the evolution of mussel biomass on the sediment and algae concentration in the water layer overlying the mussel bed. The model is used to give an explanation to interesting patterns observed in mussel beds on soft sediments in the Wadden Sea. The Mussel Model consists of two differential equations, that is they are equations involving derivatives. The {\bf{solutions}} to those equations represent possible behaviors for the mussel biomass as it interacts with the surrounding algae. The goal is to study the stability properties of the solutions. Stability is a fundamental concept, which can be illustrated by trying to make a pencil stand on its lead. Because it is such an unstable state, it is possible in theory only and cannot be observed in reality. The concept of stability carries over to differential equations and its study often involves sophisticated mathematical tools. The study of stability is important because it can distinguish the solutions that be observed in nature from the ones that cannot. In the research described in this proposal, we will tackle the problem of studying the stability of the solutions of the Mussel Model.