The problem solving sessions offer an exercise in bioengineering problem formulation and solving, demonstrating creative thinking, effective teamwork, and clear presentation skills. In groups of nominally three students you will:
Group assignments, and the scheduling of presentations, are made during the first week of classes. Each group presents once, with two group presentations each meeting time. Time your presentations not to exceed a total of 20 minutes, not including questions. Use the whiteboard and/or your computer with provided projector for your presentations. There will be 5-10 minutes for questions, and you can use the whiteboard to answer questions. The report is due one week after your presentation, and should include title, presenters' names, problem statement, simplified solution, numerical validation, conclusion, and references/credits. Use diagrams and graphs to document the problem and the solutions. The report should be submitted over TritonEd, in PDF format. Revised submissions in response to feedback are welcome (and encouraged) through the end of finals week. Final versions of reports will be posted on the class web page as a service to future students taking the class searching for ideas and inspiration.
You may consult anyone on your problem statement and methods, but you must do the problem solving yourselves, working with your group companion. You must also give credit to all sources where these guided your problem statement or solutions. Where these sources are in the open literature, you must cite the publications in print or on-line.
Success, and enjoy!
Mathematical Model for the Determination of Oxygen Spatial Maps in Microcirculatory Networks
Modeling Doxorubicin Delivery in Tumor Cells
Modeling the Propagation of Inflammation in Atherosclerosis
Numerical Modeling of Drug Delivery in Solid Tumor Microvasculature
Building and Understanding Repressilators and Synchrony Three Cells in a Bubble Bath [ Report | Slides ]
Comparison of Intravenous Bolus vs. Infusion of Heparin Diffusion through Cubital Vein
Diffusion of dexamethasone from a PLGA-wrapped suture
Kinetic Modeling for Vesicle Drug Delivery to the Liver
Microneedle Mediated Transdermal Vaccine Delivery
Modeling EDTA Diffusion into Bone for Demineralization
Modeling of Intrathecal Drug Delivery
Modeling the Effects of Brain Cooling on Neuronal Inactivation
Models of Human Normal Vocal Fold and Vocal Cord Nodule during Phonation
Nutrient Diffusion through a 3-D Bio-printed Cellular Matrix
Thermal Modeling of Microwave Percutaneous Hepatic Tumor Ablation
Minimal Cascade Model for Mitotic Oscillator
Modeling Transdermal Delivery of Contraceptive Hormones
Mathematical Evaluation of Body Cooling Using Heat Equation
Microneedle Delivery of Ophthalmic Macromolecules
Mathematical Model for Carbon Monoxide Diffusion in Man
Mathematical Model for Protein Diffusion through Biodegradable Polymer
Hollywood vs Reality - Examining Diffusion of Etorphine Following Direct Injection
Diffusion of Acetylcholine in the Synapse
Modeling Electro-Mechanical Transduction
Diffusion of Gadolinium Contrast Agent through Patellar Cartilage
Optimizing a PID Controller for Simulated Single-Joint Arm Dynamics
Insulin-Mediated Blood Glucose
A Mathematical Model of a Synthetically Constructed Genetic Toggle Switch
1-Dimensional Model for Vocal Fold Vibration Analysis
Modeling 1-Dimensional Diffusion of TDF via an Intravaginal Ring
Modeling Oxygen Diffusion and Consumption in a Skin Graft
Modeling the Spread of Frostbite
Modeling of O2 Concentration in a Cellular Parallel-Plate Flow Bioreactor
Model of Radial Diffusion of the Drug Phenylephrine following Vein Injection
Hyperthermia Cancer Therapy by Magnetic Nanoparticles
Oxygen Diffusion in Wound Healing
Modelling Diffusion Process of Neurotransmitter Across Synapse
Modeling First-Pass Ethanol Metabolism in the Human Hepatic Lobule
Modeling Receptor Protein Regulation and Enzyme Cascades
Model of Aortic Blood Flow Using the Windkessel Effect
A Mathematical Model for an Intravenous Bolus Injection
Modeling Temperature in a Breast Cancer Tumor for Ultrasound-Based Hyperthermia Treatment
Modeling Diffusion in the Small Intestines
Modeling of Neuron Signaling from Dendrite to Axon Hillock
Modeling Bone Morphogenetic Protein Diffusion of Infuse® Bone Graft
Mathematical Model for Leukocyte Migration in Prosthetic Materials
Hydrogel Drug Delivery: Diffusion Models
Keller-Segel?Models for Chemotaxis
Computational Analysis of Coffee Burns: 1-D Heat Transfer in the Skin
Modeling the BP Oil Spill of 2010: A Simplified Model of Oil Diffusion in Water
Modeling the Competitive Growth of Saccharomyces Cerevisiae and Schizosaccharomyces Kefir
Modeling the Absorption, Circulation, and Metabolism of Tirapazamine
Diffusion of Lidocaine Across Skin
Protein Diffusion in a Lipid Bilayer
Scopolamine Delivery to the Skin Using a Transdermal Patch
Spatial Distribution of Protein Concentration Can Control Cellular Pathway Fluxes
Glossal Immobilization to Metallic Beam at Hyperborean Temperatures
Modeling the Diffusion of TGF-β1 from a Fibrin Scaffold through Alveolar Bone
Two Models Simulating Focal Cerebral Cooling as a Therapy for Epilepsy
Mathematical Modeling of Heat Distribution during Cryosurgery
Modeling Drug Elution in Stents
Insulin Diffusion from a Pancreatic Islet
The Minimum-Jerk Trajectory for n-DOF Reaching Movements via Calculus of Variations
Diffusion of Acetylcholine in the Synaptic Cleft
Alcohol Diffusion in the Stomach Lining
Simulation of Glucose Diffusion in a Cylindrical Cell
Mathematical Modeling of Action Potentials with Transmission Equations and Hodgkin-Huxley Model
Drug Diffusion Through a Coated Stent
Disinfecting Mad-Cow Diseased Beef: A Heat Transfer Approach