This is a Student Version of a Modeling Scenario from the community, SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations at www.simiode.org. (We enclose several more examples of Student Version Modeling Scenarios to interest you in joining our merry band at www.simiode.org.)
SIMIODE is about teaching differential equations using modeling and technology upfront and throughout the learning process. Learn more at our dynamic website, www.simiode.org, where we offer a community in which colleagues can communicate, collaborate, publish, teach, explore, contribute, etc.
SIMIODE is ENTIRELY FREE!!!
Once you have registered you can then join the Teachers Group and see material about solution strategies for this modeling scenario and learn about the many other activities of the community at www.simiode.org.
See modeling scenarios on how long it takes an ant to build a tunnel of length x; using compartment models to explain effects of LSD on math problems; videos to provide data for validating Torricelli's Law on a falling column of water; counter or concurrent dialysis- which is best; modeling chemical kinetics with data; studying population models with differential equations; spread of ICU's in America; optimal insect colony strategies; modeling Monod Growth Equation; growth of oil slick modeling from incomplete data; modeling the volume of an intraocular gas bubble used by ophthalmologists to aid the healing of a surgically repaired region of the retina; and many more opportunities to model life science phenomena with differential equations coupled with data verification strategies.
We are building a complete environment for teachers and learners – communication, groups across and intra/inter campus projects for students and teachers, models, data, videos.
SIMIODE is a FREE and open environment, so please join us.
In this modeling scenario we post here as a sample of what is in our community, we offer a physical situation, using a grid and M&M candies, to simulate the spread of disease. Students conduct the simulation and collect the data which is used to estimate parameters (in several ways) in a differential equation model for the spread of the disease. Students produce the standard logistic equation when trying to model the interaction between those who have the disease and those who do not. Reasoned assumptions need to be articulated by students.
We also include several other Modeling Scenarios of interest to Life Science community colleagues. Oh, and did we mention - SIMIODE is a FREE and open environment, so please join us.