NSF Org: |
DMS Division Of Mathematical Sciences |
Recipient: |
|
Initial Amendment Date: | July 27, 2020 |
Latest Amendment Date: | July 27, 2020 |
Award Number: | 2009741 |
Award Instrument: | Standard Grant |
Program Manager: |
Pedro Embid
pembid@nsf.gov (703)292-4859 DMS Division Of Mathematical Sciences MPS Direct For Mathematical & Physical Scien |
Start Date: | August 1, 2020 |
End Date: | July 31, 2024 (Estimated) |
Total Intended Award Amount: | $196,092.00 |
Total Awarded Amount to Date: | $196,092.00 |
Funds Obligated to Date: |
|
History of Investigator: |
|
Recipient Sponsored Research Office: |
6425 BOAZ ST RM 130 DALLAS TX US 75205-1902 (214)768-4708 |
Sponsor Congressional District: |
|
Primary Place of Performance: |
6425 Boaz Lane Dallas TX US 75275-0302 |
Primary Place of Performance Congressional District: |
|
Unique Entity Identifier (UEI): |
|
Parent UEI: |
|
NSF Program(s): | APPLIED MATHEMATICS |
Primary Program Source: |
|
Program Reference Code(s): |
|
Program Element Code(s): |
|
Award Agency Code: | 4900 |
Fund Agency Code: | 4900 |
Assistance Listing Number(s): | 47.049 |
ABSTRACT
Infectious diseases transmitted by tiny droplets of respiratory fluids affect tens of millions of people worldwide. Better understanding of the mechanism of transmission of infections can lead improvements in both treatment and protection strategies. While the main focus of the project is on transmission of tuberculosis, its broader societal impacts include potential applications to other infectious diseases such as influenza and COVID-19. Educational impacts of the project include training both graduate and undergraduate students in an interdisciplinary environment with close interaction between applied mathematicians and biomedical researchers.
The main focus of the project is on the development of mathematical models describing transport and deposition of droplets of respiratory fluids containing the disease agent produced by cough or sneezing of an infected individual. Using a multiscale framework, dynamics of an individual droplet and its interaction with the airway wall is investigated and then incorporated into a global model based on Vlasov-type equation for droplet transport in a geometry representing respiratory airways. The effects of phase change such as evaporation and condensation on the size distribution of the droplets and the nature of their interaction with the wall are considered. A model of respiratory liquid accounts for the presence of components such as proteins, surfactants, and salts. The key questions addressed are the deposition location and size distributions of the droplets as functions of the initial distribution, as well as environmental parameters such as temperature and humidity.
This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH
Note:
When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
Some links on this page may take you to non-federal websites. Their policies may differ from this site.
Please report errors in award information by writing to: awardsearch@nsf.gov.