Quick Look
Grade Level: 11 (11-12)
Time Required: 47 hours
A semester-long activity, designed for 47 hours. (If the biopsy requirement is removed, then the time required is reduced to 38 hours. If the biopsy requirement and the abdomen hill obstacle are removed, then the time required is reduced to 30 hours.)
Expendable Cost/Group: US $11.00 The expendable cost is about $88 for 7-8 groups because you cannot usually buy the items in smaller quantities (so works out to ~$11 per group). See the Materials List for the estimated cost of non-expendable (reusable) items such as electronics and the abdominal cavity simulator.
Group Size: 3
Activity Dependency:
Subject Areas: Biology, Life Science, Problem Solving, Science and Technology
NGSS Performance Expectations:
HS-ETS1-2 |
HS-ETS1-3 |
Summary
Student teams create laparoscopic surgical robots designed to reduce the invasiveness of diagnosing endometriosis and investigate how the disease forms and spreads. Using a synthetic abdominal cavity simulator, students test and iterate their remotely controlled, camera-toting prototype devices, which must fit through small incisions, inspect the organs and tissue for disease, obtain biopsies, and monitor via ongoing wireless image-taking. Note: This activity is the core design project for a semester-long, three-credit high school engineering course. Refer to the associated curricular unit for preparatory lessons and activities.Engineering Connection
Some engineers study anatomy, physiology and surgery so that they can work with laparoscopic surgeons to develop surgical procedures, equipment and tools. Most surgeons are not trained in mechanical design and product development, so they collaborate with engineers to create, design, test and manufacture new surgical tools. This partnership advances life-saving and life-enhancing technology. The student project described in this activity is based on research being conducted at the University of Colorado Boulder by engineers and surgeons (see the References and Other sections for more information).
Learning Objectives
After this activity, students should be able to:
- Explain the steps of the engineering design process.
- Identify the components of a radio control transmitter and receiver and know how to use them.
- Explain what a biopsy is.
- Explain what endometriosis is and why a biopsy of the disease is necessary in some cases.
- Create and remotely control a small robot containing two or more actuators.
Educational Standards
Each TeachEngineering lesson or activity is correlated to one or more K-12 science,
technology, engineering or math (STEM) educational standards.
All 100,000+ K-12 STEM standards covered in TeachEngineering are collected, maintained and packaged by the Achievement Standards Network (ASN),
a project of D2L (www.achievementstandards.org).
In the ASN, standards are hierarchically structured: first by source; e.g., by state; within source by type; e.g., science or mathematics;
within type by subtype, then by grade, etc.
Each TeachEngineering lesson or activity is correlated to one or more K-12 science, technology, engineering or math (STEM) educational standards.
All 100,000+ K-12 STEM standards covered in TeachEngineering are collected, maintained and packaged by the Achievement Standards Network (ASN), a project of D2L (www.achievementstandards.org).
In the ASN, standards are hierarchically structured: first by source; e.g., by state; within source by type; e.g., science or mathematics; within type by subtype, then by grade, etc.
NGSS: Next Generation Science Standards - Science
NGSS Performance Expectation | ||
---|---|---|
HS-ETS1-2. Design a solution to a complex real-world problem by breaking it down into smaller, more manageable problems that can be solved through engineering. (Grades 9 - 12) Do you agree with this alignment? |
||
Click to view other curriculum aligned to this Performance Expectation | ||
This activity focuses on the following Three Dimensional Learning aspects of NGSS: | ||
Science & Engineering Practices | Disciplinary Core Ideas | Crosscutting Concepts |
Design a solution to a complex real-world problem, based on scientific knowledge, student-generated sources of evidence, prioritized criteria, and tradeoff considerations. Alignment agreement: | Criteria may need to be broken down into simpler ones that can be approached systematically, and decisions about the priority of certain criteria over others (trade-offs) may be needed. Alignment agreement: |
NGSS Performance Expectation | ||
---|---|---|
HS-ETS1-3. Evaluate a solution to a complex real-world problem based on prioritized criteria and trade-offs that account for a range of constraints, including cost, safety, reliability, and aesthetics, as well as possible social, cultural, and environmental impacts. (Grades 9 - 12) Do you agree with this alignment? |
||
Click to view other curriculum aligned to this Performance Expectation | ||
This activity focuses on the following Three Dimensional Learning aspects of NGSS: | ||
Science & Engineering Practices | Disciplinary Core Ideas | Crosscutting Concepts |
Evaluate a solution to a complex real-world problem, based on scientific knowledge, student-generated sources of evidence, prioritized criteria, and tradeoff considerations. Alignment agreement: | When evaluating solutions it is important to take into account a range of constraints including cost, safety, reliability and aesthetics and to consider social, cultural and environmental impacts. Alignment agreement: | New technologies can have deep impacts on society and the environment, including some that were not anticipated. Analysis of costs and benefits is a critical aspect of decisions about technology. Alignment agreement: |
International Technology and Engineering Educators Association - Technology
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Students will develop an understanding of the attributes of design.
(Grades
K -
12)
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Do you agree with this alignment?
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Students will develop an understanding of engineering design.
(Grades
K -
12)
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Do you agree with this alignment?
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Students will develop an understanding of the role of troubleshooting, research and development, invention and innovation, and experimentation in problem solving.
(Grades
K -
12)
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Students will develop abilities to apply the design process.
(Grades
K -
12)
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Evaluate final solutions and communicate observation, processes, and results of the entire design process, using verbal, graphic, quantitative, virtual, and written means, in addition to three-dimensional models.
(Grades
9 -
12)
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Develop a plan that incorporates knowledge from science, mathematics, and other disciplines to design or improve a technological product or system.
(Grades
9 -
12)
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Do you agree with this alignment?
State Standards
New York - Science
-
Design a solution to a complex real-world problem by breaking it down into smaller, more manageable problems that can be solved through engineering.
(Grades
9 -
12)
More Details
Do you agree with this alignment?
-
Evaluate a solution to a complex real-world problem based on prioritized criteria and trade-offs that account for a range of constraints, including cost, safety, reliability, and aesthetics, as well as possible social, cultural, and environmental impacts.
(Grades
9 -
12)
More Details
Do you agree with this alignment?
Materials List
Each group needs:
- 4-channel radio transmitter; such as Futaba FUTK4200 (includes Futaba receiver R2004 GF and switch)
- 4-cell battery box and switch harness; such as TOWM6220 available at http://www.towerhobbies.com/
- 2 continuous rotation servos; such as Parallax 900-00008 (Futaba) Continuous Rotation Servo available at https://www.robotshop.com/
- 2 180-degree rotation servos; such as Futaba S3003 Servo Standard, available at http://www.towerhobbies.com/
- 42-gallon black plastic contractor garbage bag; a box of 20 for the entire class
- Engineering Design Quiz, one per person
- Design Project Description Handout, one per person
- Competition Scoring Rubric, one per team
Materials to make one synthetic abdominal cavity simulator for the class to share:
- 2 gallons of white Elmer's School Glue
- borax, 16 oz. box; available in grocery stores in the laundry detergent aisle
- measuring spoon, 1 teaspoon (for solids)
- measuring cup, minimum 2 cup size (for fluids)
- 2 plastic containers, for mixing glue and water, and borax and water
- water, ~20 cups
- 4-in clear zip ties, pack of 100
- scissors
- 1-in x 2-in x 12-ft wood board
- 1/4-in thick x 2-ft x 4-ft sheet plywood
- 1/8-in x ½-in x 9-ft aluminum strip; such as McMaster 8975K527 available at http://www.mcmaster.com/
- 1½-in long wood screw, quantity 8; such as McMaster 92114A138
- ½-in long wood screw, quantity 30; such as McMaster 93360A220
- drill with 5/64-in (for aluminum) and 1/16-in (for wood) size bits
- black contractor garbage bag (42-gallon size), for making two semi-circle shaped end flaps
- standard light bulb socket and cord with switch; $9 (or else specify that robots provide their own illumination)
- energy-efficient fluorescent bulb; such as SLI Lighting spiral soft white energy-saving bulb, 75 watts, available at https://www.solarlightingitl.com/
- electrical tape
- PlayDoh party pack, 10 mini cans, to represent endometriosis lumps
- Building Instructions for Synthetic Abdominal Cavity Simulator, one copy for teacher
If using latex tubing in the simulator:
- abrasion-resistant natural latex rubber sheeting .02-in thick, 6-in width, 30-ft long; such as McMaster 85995K16 available at http://www.mcmaster.com/
- super glue, 1 oz (28.3 g) bottle; such as Loctite Super Bonder 496 Instant Adhesive
- 1.5- to 2-in diameter PVC pipe, for use in crafting a tube from the latex sheet (exact pipe diameter is not that important)
If using bicycle inner tubes in the simulator (a less expensive alternative to latex tubing):
- 7 used bike tubes of any diameter (easily obtained for free at any bike shop; cut out sections with holes or damage)
To share with the entire class:
- miscellaneous crafting materials such as foam core board (discarded plastic election yard signs work really well), Popsicle sticks, press board, string, hot glue and hot glue guns, masking tape, duct tape, wooden dowels of various sizes, paper clips, pipe cleaners or twist ties, tooth picks, rubber bands, scissors, box cutters, etc.
- sticky-back Velcro, 15-ft x ¾-in tape for everyday use
- if manufacturing or prototyping equipment is available, such as a laser cutter, 3-D router, table saw, hand drill, etc., consider making available other materials (such as Plexiglas) for second- and third-iteration prototypes
- remote (wireless) miniature color camera; such as the Mini 5.8 GHz Wireless Spy Camera with PC USB Adapter available at: https://www.spygearco.com/SetOf4MiniWireless5.8GhzColorSpyCamerasWithPCUSBAdapter-DS.htm, (Note: Do not buy a wireless camera that operates at 2.4 GHz since this is the same frequency as the transmitters and will cause electrical interference.)
- scale, accurate to 0.1 g; such as Se digital pocket scale
- stopwatch
- computer and projector (or overhead projector) to show the Electronics Introduction Presentation.
Note: Expendable costs are estimated at $88 for 7-8 groups because you cannot usually buy the items in smaller quantities (so it works out to ~$11 per group). All other "start-up" non-expendable material costs are for reusable items, such as the supplies to build the electronics and abdominal cavity simulator. For materials that will be shared with the entire class (simulator, camera, scale) the total comes to $298. You can save $64 by using used bicycle tubes (free at local bicycle shops) instead of latex sheeting. The electronics come to $146 per group.
Worksheets and Attachments
Visit [www.teachengineering.org/activities/view/cub_surg_lesson01_activity2] to print or download.Pre-Req Knowledge
Students must understand how to use the electronics, which can be taught as part of the activity by using the five slides in the attached Electronics Introduction Presentation.
It is helpful if students research endometriosis and laparoscopic surgery before starting this activity. Otherwise, see a brief description in the Procedure section.
Introduction/Motivation
(Note: The text of this section is also provided in the attached Design Project Description Handout, as an alternative way for you to make this information easily available to students.)
A local biomedical research and development firm has received a grant to develop a new surgical tool to study, diagnose and treat endometriosis. The firm seeks a competent engineering team to assist with the development of the tool. For this reason, the firm is contracting the initial prototype development to teams from your school. Teams will compete for the full contract of developing a prototype device. The team that best meets or exceeds the objectives will be awarded the contract.
The firm requires a remotely operated device that can inspect the abdominal cavity for endometriosis. (As necessary, explain to students more about endometriosis, as described in the Procedure's Background section and the attached Design Project Description Handout. Or have students research endometriosis independently, prior to starting the activity.) Ultimately, the device will be used by surgeons who suspect endometriosis in a patient.
You will work in teams to design and create a prototype device that can be inserted into the abdominal cavity through an incision in the umbilicus and is remotely operated externally by your team. Once inside the abdominal cavity, the device must inspect all the organs and tissue for disease. If diseased tissue is located, the device shall obtain a biopsy for removal and analysis. The purpose of this device is to reduce the invasiveness of diagnosing endometriosis and provide a platform for researchers to determine how the disease spreads. Although beyond the scope of this project, the final version of the device will be small and robust enough to remain inside the body for at least 60 days. Each day in vivo (in the body), the device will autonomously acquire images and/or video of critical anatomical regions (such as the ovaries and fallopian tubes) in order to better understand how the disease forms and spreads.
Teams will test their surgical devices ex vivo (outside the body) on a bench top simulator. The simulator represents the abdominopelvic cavity with the small intestine and has a covering that represents the abdominal wall. Each team must make incisions in the abdominal wall in order to place their devices inside the abdominopelvic cavity. Once inside the cavity, the device is out of view, so each device must be equipped with a wireless video camera to transmit the view to the team members.
Remind the teams that this is the first step of the engineering design process: ask to identify needs and constraints.The research and development firm specifies the following requirements for a successful candidate device:
- The device shall inflict minimal trauma to the patient during insertion. Smaller and fewer incisions heal quicker, are less prone to infection and complications, and are less painful.
- The device shall not harm internal organs and tissue during exploration of the abdominal cavity.
- The device must be untethered and remotely operated. Future versions of the device will remain in the body so the prototype must not have any tethering that would prevent the entry incision from being closed.
- The device shall acquire digital images of the internal anatomy to confirm or disprove the existence of endometriosis.
- If endometriosis exists, the device must be able to acquire a biopsy of the diseased tissue.
- Time is of the essence during surgery. Time required for set-up, insertion, analysis, and removal of the device must not exceed 10 minutes.
Procedure
Background
The inside lining of the uterus is called the endometrium. Endometriosis is a disease in which the endometrium tissue grows outside the uterus in incorrect areas of the body, causing pain, bleeding and infertility. The tissue growth typically occurs in the abdominal cavity in the pelvic area, on the outside of the uterus, the ovaries, bowel, rectum, bladder and peritoneal surface. It is possible, however, for the endometrium to occur in other areas of the body, such as the lungs and even arms and legs, although this is rare. Endometriosis afflicts about 5% of women between the ages of 25 and 40. Little is known about many aspects of the disease. For example, it is unclear how the endometrium forms in the abdominal cavity.
The cause of the disease is also unknown. Further, diagnosis is difficult because endometriosis is hard to detect with ultrasound. Positive identification can occur only with laparoscopic surgery, which is invasive and expensive. During surgery, the surgeon visually inspects the abdominal cavity and acquires images of the afflicted region. Sometimes a biopsy is taken if imaging is inconclusive.
Before the Activity
- Create the synthetic abdominal cavity simulator by following the attached Building Instructions for Synthetic Abdominal Cavity Simulator.
- Gather materials and make copies of the quiz, handout and rubric.
- Be prepared with a computer and projector to show the Electronics Introduction Presentation.
- Administer the Engineering Design Quiz, as described in the Assessment section.
- Have students research endometriosis and laparoscopic surgery, as described in the Assessment section.
With the Students
Step 1: Introduce the design project; discuss the problem and motivation behind the project.
Step 2: Review or teach students the steps of the engineering design process, as well as tips and guidelines for successful brainstorming (see suggested resources in the Additional Multimedia Support section). Begin with "low constraint" brainstorming, in which students' ideas are not limited to the building materials provided for the activity. Instead, they imagine real solutions that could be accomplished by an engineering team. Students take turns presenting their "low constraint" brainstorming ideas (2 or 3 minutes each). An example of low constraints for creating and testing the first prototype:
- Time: Team of two, 40 hours per-week for six months
- Materials budget: $10K to $50K
- Resources: electrical, software, and mechanical engineer colleagues available for consultation. Machinist available to create custom parts.
Step 3: Introduce the building materials and provide a list of materials. Introduce the electronics and present the attached Electronics Introduction Presentation. Have students test the electronics by connecting the battery pack, receiver, switch and servos as outlined in the presentation.
Step 4: Begin "high constraint" brainstorming session based on the time, materials and resources made available for this activity. Direct teams to work towards generating three distinct solutions to the problem. Continue brainstorming into a second class period, as necessary, creating sketches of the three ideas and turning in drawings at the end of class. The teacher reviews the drawings to provide feedback and comments, and approves if ready to go.
Step 5: If a group's designs are approved, then its team members discuss which of the three designs to choose for the prototype design. Have students write paragraphs justifying their choices. If designs are not approved or could not be understood, then teams redraw/redesign/explain their designs in order to get approval. Hand out the Competition Scoring Rubric and explain it to students before construction begins.
Step 6 (Building Phase Begins): Start building! Throughout the building phase of the design project, assess students on their progress to meet a series of five milestones. These interim deadlines keep students progressing at an acceptable rate to finish their projects. Without milestones, students tend to fall behind and save most of the work for the very end. After every milestone, have students describe improvements they will make to increase their devices' performance.
Milestone 1: Critical design review: Students explain how their final designs fulfill the project requirements. (Timing: assess shortly after building begins: ~3.5 hours into building phase)
At this point, students should be able to answer questions such as: How does your device move forward and backward? How does it turn? Which servos are you using? What are the functions of each servo? How do you take a biopsy? Where have you placed the camera?
Milestone 2: Partial mobility: Devices can move forward and backward in the abdomen. (Timing: assess ~7.5 building hours after Milestone 1)
Teams should be able to drive their devices from one end of the abdomen, over the hill to the other side of the abdomen. Give them the choice of either picking up their devices, turning them around to face forward, and then driving over the hill again to reach the starting point, or removing the hill and driving backwards to reach the starting point.
Step 7: To break up the long building phase, conduct the following engineering drawing lesson and activity between Milestones 2 and 3. See Detail Drawings: Communicating with Engineers (lesson) and Drawing Designs in Detail (activity).
Step 8: Continue the building phase.
Milestone 3: Full mobility: Devices can move forward, backward and turn in the abdomen. (Timing: assess ~6.5 building hours after Milestone 2)
Devices must be able to start at one end of the abdomen, drive over the hill to the other side of the abdomen, turn around, and drive back over the hill to return to the starting point.
Milestone 4: Blind mobility: Students can drive their devices in the abdomen with use of the camera. (Timing: assess ~9 building hours after Milestone 3)
Before test day, place four differently colored PlayDoh clumps in different sites of the abdomen. Place a plastic contractor trash bag over the abdominal cavity simulator so that students cannot see inside (open end of the bag facing the entrance so no incisions need be made at this point). For the test, give teams five minutes to place their devices into the abdomen, drive up to all four sites of endometriosis, and exit the abdomen, relying solely on the camera to complete the task.
Milestone 5: Biopsy demonstration: Devices can remove two grams of diseased tissue from the abdomen. (Timing: assess ~9 building hours after Milestone 4)
Before test day, place four differently colored PlayDoh clumps in different sites of the abdomen. Place a plastic contractor trash bag over the simulator so that students cannot see inside (open end of the bag facing the entrance so no incisions need be made at this point). For the test, give teams five minutes to place their devices into the abdomen, drive up to one site of endometriosis of their choice, take a biopsy of at least 2 grams, and exit the abdomen, relying solely on the camera to complete the task.
Step 9: Have students draw or describe the steps of the engineering design process and describe their experiences thus far with each step of the design process.
Step 10: Review the rubric and project objectives.
Step 11: Have teams refine their device prototypes and make improvements. Dedicate about three classroom hours to refinement of the devices.
Step 12: Projects are due. Conduct a class competition. Grade team prototypes using the rubric. As time permits, assign team presentations and marketing tasks, as described in the Assessment section.
Vocabulary/Definitions
abdominal cavity: A body cavity that contains the gastrointestinal tract, stomach, pancreas, spleen, liver, etc.
abdominopelvic cavity: The abdominal and pelvic cavities.
biopsy: Removing tissue, by cutting or tearing, for analysis purposes.
endometriosis: A disease in which the endometrium (the lining of the uterus) grows outside of the uterus.
engineering design process: A series of steps used by engineering teams to guide them as they solve problems: define the problem, come up with ideas (brainstorming), select the most promising design, plan and communicate the design, create and test the design, and evaluate and revise the design.
ex vivo: Signifying outside the living body.
fallopian tubes: Tubes connecting the ovaries to the uterus.
in vivo: Signifying inside the living body.
laparoscopic: Relating to a laparoscope, which is a long, slender camera and light source used for minimally invasive surgery.
ovaries: A female reproductive organ that holds the ova (eggs).
pelvic cavity: A body cavity that contains the bladder and female reproductive organs.
prototype: A first attempt or early model of a new product or creation. May be revised many times.
umbilicus: Belly button.
Assessment
Pre-Activity Assessment
Design Process Quiz: Ascertain students' understanding of the design process by administering the Engineering Design Quiz to the class before beginning any discussion about engineering design. For an overall pre/post assessment of students' understanding of engineering design, administer the same quiz at the conclusion of the activity.
Research: Direct students to research endometriosis and laparoscopic surgery on the Internet or at the library. Require students to write a paragraph, poem, or song about either endometriosis or laparoscopic surgery to demonstrate their understanding. In groups of four, have students share their paragraph, poem, or song with each other. Then have each group choose one paragraph, poem, or song to share with the entire class.
Activity Embedded Assessment
Milestones: To assess student progress throughout the design project, use the five milestones described in the Procedure section.
Design Process: At a point after the five milestones, assess students' understanding of the design process and how it relates to their projects by having them draw or describe the steps of the engineering design process and describe their experiences thus far with each step.
Post-Activity Assessment
Competition: The final assessment is the class competition. Use the requirements and scoring criteria provided on the attached Competition Scoring Rubric.
Presentation: Assign students to give presentations that detail their design process and competition test results. Require that they provide backgrounds on endometriosis and motivations for the design projects, as well as possible improvements to their designs.
Marketing: Assign student teams to make commercials or advertising posters that could be used to sell the devices by the local biomedical firm that contracted them to design the surgical tool.
Making Sense: Have students reflect about the science phenomena they explored and/or the science and engineering skills they used by completing the Making Sense Assessment.
Investigating Questions
- One requirement for your surgical device is to make it as small as possible. Why is surgical tool size such an important consideration?
- Do you think it is possible to perform surgery in the abdomen without making an incision through the skin? How would you do this?
- (Ask near the end of the project) Think back to the "low constraint" brainstorming activity. How would you design your device if you had fewer constraints on your budget and time? Dream big!
- Engineers often look to other specialties for creative solutions to problems and design ideas. You have come up with a number of solutions to solve a difficult mobility problem (navigating a robot in an in vivo environment). How might you apply what you have learned to another engineering field? Which field and what application?
Safety Issues
- Teach students how to safely use box cutters, heavy-duty scissors, hot glue guns and other available tools.
Troubleshooting Tips
Due to the number of electronic components involved in this activity, it is advised that the instructor familiarize him/herself with their operation and function.
Students often encounter dead batteries, usually because electronics are left powered on after class. Frequently remind students to turn off the transmitters and receivers when not in use.
Activity Scaling
To reduce the amount of time for this project (by approximately 9 classroom hours), eliminate the requirement that students obtain biopsies of the endometriosis (PlayDoh), which also eliminates Milestone 5. The amount of time for this project can further be reduced (by approximately 8 more hours) if the hill inside the abdomen is removed. If both the biopsy and hill requirements are eliminated, then the amount of time required to complete this project would be reduced by 17 hours to approximately 30 total classroom hours.
To make this activity more suitable for younger students (grades 9-10), use some or all of the following suggestions to simplify the robot design and/or its control:
- Eliminate the intestine. The hard, smooth surface of the pressboard is an easier surface to navigate.
- Eliminate the black plastic bag enclosure and the video camera, but allow students to view their devices while in vivo.
- Eliminate the requirement that students obtain a biopsy of the endometriosis (PlayDoh).
Additional Multimedia Support
See a description of the steps of the engineering design process at https://www.teachengineering.org/engrdesignprocess.php
Introduce students to the engineering design process by conducting the Creative Engineering Design unit.
Introduce students to brainstorming by conducting the Design Step 3: Brainstorm Possible Solutions activity.
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References
GI Crawler. Advanced Medical Technologies Laboratory. University of Colorado Boulder. Accessed November 9, 2011. (Description of a research project to develop a mobile capsule-sized crawler for exploration of the gastrointestinal [GI] tract. Involves research into GI tissue mechanics characterization and modeling; micro-tread design and experimentation; and tread-tissue interaction and contact mechanics.) http://www.colorado.edu/engineering/articles/surgical-crawlers
Other Related Information
Towards the end of the project, show students pictures of the actual research upon which this activity is based to give the project more meaning and solidify that they are working on a design project with the potential to make a difference in people's lives. The activity project is based on research in the Advanced Medical Technologies Laboratory in the College of Engineering and Applied Science at the University of Colorado Boulder. See details of this ongoing research project (GI crawler) and others (VSD camera, pain quantification, port camera, boutonniere brace) at: http://www.colorado.edu/mechanical/amtl/Projects.htm
Copyright
© 2011 by Regents of the University of Colorado.Contributors
Benjamin S. Terry, Brandi N. Briggs, Stephanie Rivale, Denise W. CarlsonSupporting Program
Integrated Teaching and Learning Program, College of Engineering, University of Colorado BoulderAcknowledgements
The contents of this digital library curriculum were developed under a grant from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education and National Science Foundation GK-12 grant no. 0338326. However, these contents do not necessarily represent the policies of the Department of Education or National Science Foundation, and you should not assume endorsement by the federal government.
Last modified: March 29, 2022
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