You too will be excited about
mathematical modeling & simulation
in health, medicine, & drug
development!
Rajiv P. Shresth...
This presentation is an attempt to show the utility of
mathematical models in health, medicine, and drug
development to a ...
A complicated system is in place to regulate glucose level in
our blood.
In the next slide, the major players of the blood...
β-cell:
Insulin
Muscle &
Adipose
L-cell:
GLP-1
& GIP
Blood
Glucose
Glucose regulation: major players
Brain
Pancreas
Liver
...
β-cell:
Insulin
Muscle &
Adipose
L-cell:
GLP-1
& GIP
Blood
Glucose
Glucose regulation: major players
Brain
Pancreas
Liver
...
β-cell:
Insulin
Muscle &
Adipose
L-cell:
GLP-1
& GIP
Blood
Glucose
Glucose regulation: major players
Brain
Pancreas
Liver
...
β-cell:
Insulin
Muscle &
Adipose
L-cell:
GLP-1
& GIP
Blood
Glucose
Glucose regulation: major players
Brain
Pancreas
Liver
...
β-cell:
Insulin
Muscle &
Adipose
L-cell:
GLP-1
& GIP
Blood
Glucose
Glucose regulation: major players
Brain
Pancreas
Liver
...
When a healthy person eats a meal, the glucose contained
in the food reaches blood after digestion process in the
stomach ...
Mathematical model implementation
Blood Insulin Glucose appearance rate Insulin Secretion rate
A snapshot of a mathematica...
What now?
Once we have a good mathematical model we can do a lot of fun stuff!
We can use the model as a “virtual” healthy...
A typical response after a meal
A virtual healthy person’s response after a standard meal:
After a standard meal, blood
gl...
A typical response after a meal
As a response, insulin in blood starts to rise
up. Insulin helps to reduce glucose in bloo...
A typical response after a meal
Right amount of glucose is
utilized in a timely manner.
A virtual healthy person’s respons...
A typical response after a meal
Let’s simulate the response for a virtual type-II diabetic person and
compare with the sim...
A typical response after a meal
For a diabetic person (red dash)
the glucose level in blood shoots
higher and stays higher...
A typical response after a meal
Insulin response is slower. Note that even
though glucose level in the blood is much
highe...
A typical response after a meal
Glucose utilization is slower
and muted.
Comparing the response of a healthy person with t...
A typical response after a meal
Remember, there is a mathematical model crunching numbers behind
these cool simulations!
C...
What else?
The model can be used to test the actions of drugs to a
virtual diabetic patient.
It can be used to predict out...
Potentials are unlimited.
Are you excited yet?
For more info about Octet Research: http://1drv.ms/1Vb0oGt
& http://octetre...
Prochain SlideShare
Chargement dans…5
×

You too will be excited about mathematical modeling & simulation in health, medicine, & drug development!

1 224 vues

Publié le

There is no question that we will need the involvement of more mathematicians and engineers to contribute to solve the many problems in health, medicine, and drug development. Mathematical modeling and simulation is going to be an important tool. Hopefully, this deck of slides will attract a few more researchers into this area and get the non-technical leaders in these fields as excited as us.

Publié dans : Santé & Médecine
  • Soyez le premier à commenter

You too will be excited about mathematical modeling & simulation in health, medicine, & drug development!

  1. 1. You too will be excited about mathematical modeling & simulation in health, medicine, & drug development! Rajiv P. Shrestha, PhD rajivpshrestha linkedin.com/in/rajivps
  2. 2. This presentation is an attempt to show the utility of mathematical models in health, medicine, and drug development to a broader audience. We have skipped a lot of details for simplicity. We will use an example of a system in our body that most of us have heard of as it pertains to diabetes: the blood glucose regulation system
  3. 3. A complicated system is in place to regulate glucose level in our blood. In the next slide, the major players of the blood glucose regulation system are shown. Note that the content of this presentation in based on the information available in published scientific literature. The mathematical model is based on Man et al., Meal simulation model of the glucose-insulin system. IEEE Transactions on Biomedical Engineering, 2007. Blood glucose regulation system
  4. 4. β-cell: Insulin Muscle & Adipose L-cell: GLP-1 & GIP Blood Glucose Glucose regulation: major players Brain Pancreas Liver Stomach Gut Think of it as a system with several compartments… Meal
  5. 5. β-cell: Insulin Muscle & Adipose L-cell: GLP-1 & GIP Blood Glucose Glucose regulation: major players Brain Pancreas Liver Stomach Gut … for example, the stomach compartment where the food enters, or… Meal
  6. 6. β-cell: Insulin Muscle & Adipose L-cell: GLP-1 & GIP Blood Glucose Glucose regulation: major players Brain Pancreas Liver Stomach Gut Meal … or the gut compartment from where the glucose in food is absorbed into the blood circulation, or…
  7. 7. β-cell: Insulin Muscle & Adipose L-cell: GLP-1 & GIP Blood Glucose Glucose regulation: major players Brain Pancreas Liver Stomach Gut Meal … the blood glucose compartment. This is where glucose level needs to be regulated, or…
  8. 8. β-cell: Insulin Muscle & Adipose L-cell: GLP-1 & GIP Blood Glucose Glucose regulation: major players Brain Pancreas Liver Stomach Gut Meal
  9. 9. When a healthy person eats a meal, the glucose contained in the food reaches blood after digestion process in the stomach and gut. Insulin is secreted as a response. Just the right amount of this glucose is utilized for vital functions of the body, or is stored in the liver and tissues, and the rest is eliminated. Just the right amount of insulin is secreted from pancreas and transported to the blood via liver. It helps our body to utilize the glucose in an appropriate manner. Based on the understanding of the physiology and available data a reasonable mathematical model can be built. Glucose regulation: Healthy person
  10. 10. Mathematical model implementation Blood Insulin Glucose appearance rate Insulin Secretion rate A snapshot of a mathematical model of glucose regulation implemented in a computational software. We used Simulink in MATLAB.
  11. 11. What now? Once we have a good mathematical model we can do a lot of fun stuff! We can use the model as a “virtual” healthy person to understand and study the glucose regulation. We can test what happens if some part of the system fails/becomes less effective (disease?) simply by “incorporating” those situations in the model mathematically.  For example, by changing certain parameters, the model can be used as a virtual diabetic person. Next, you will see the simulated results for a virtual healthy person after a standard meal.
  12. 12. A typical response after a meal A virtual healthy person’s response after a standard meal: After a standard meal, blood glucose level starts to rise up.
  13. 13. A typical response after a meal As a response, insulin in blood starts to rise up. Insulin helps to reduce glucose in blood by aiding in the utilization of glucose. A virtual healthy person’s response after a standard meal:
  14. 14. A typical response after a meal Right amount of glucose is utilized in a timely manner. A virtual healthy person’s response after a standard meal:
  15. 15. A typical response after a meal Let’s simulate the response for a virtual type-II diabetic person and compare with the simulation above. A virtual healthy person’s response after a standard meal:
  16. 16. A typical response after a meal For a diabetic person (red dash) the glucose level in blood shoots higher and stays higher all the time compared to a healthy person (blue line) for the same amount of meal . Comparing the response of a healthy person with the response of a type-II diabetic person for the same standard meal virtual healthy person’s response after a standard meal:
  17. 17. A typical response after a meal Insulin response is slower. Note that even though glucose level in the blood is much higher, the insulin level does not rise as much compared to the healthy person. Comparing the response of a healthy person with the response of a type-II diabetic person for the same standard meal virtual healthy person’s response after a standard meal:
  18. 18. A typical response after a meal Glucose utilization is slower and muted. Comparing the response of a healthy person with the response of a type-II diabetic person for the same standard meal virtual healthy person’s response after a standard meal:
  19. 19. A typical response after a meal Remember, there is a mathematical model crunching numbers behind these cool simulations! Comparing the response of a healthy person with the response of a type-II diabetic person for the same standard meal virtual healthy person’s response after a standard meal:
  20. 20. What else? The model can be used to test the actions of drugs to a virtual diabetic patient. It can be used to predict outcomes of various studies during drug development. It can be used to design better clinical trials increasing the chance of success. For more info about Octet Research: http://1drv.ms/1Vb0oGt
  21. 21. Potentials are unlimited. Are you excited yet? For more info about Octet Research: http://1drv.ms/1Vb0oGt & http://octetresearch.com

×