
NSF Org: |
DMS Division Of Mathematical Sciences |
Recipient: |
|
Initial Amendment Date: | September 5, 2016 |
Latest Amendment Date: | May 19, 2021 |
Award Number: | 1614892 |
Award Instrument: | Standard Grant |
Program Manager: |
Pedro Embid
DMS Division Of Mathematical Sciences MPS Directorate for Mathematical and Physical Sciences |
Start Date: | September 1, 2016 |
End Date: | May 31, 2022 (Estimated) |
Total Intended Award Amount: | $150,000.00 |
Total Awarded Amount to Date: | $285,115.00 |
Funds Obligated to Date: |
FY 2019 = $42,374.00 FY 2020 = $38,002.00 FY 2021 = $54,739.00 |
History of Investigator: |
|
Recipient Sponsored Research Office: |
W5510 FRANKS MELVILLE MEMORIAL LIBRARY STONY BROOK NY US 11794-0001 (631)632-9949 |
Sponsor Congressional District: |
|
Primary Place of Performance: |
100 Nicolls Rd Stony Brook NY US 11794-2300 |
Primary Place of
Performance Congressional District: |
|
Unique Entity Identifier (UEI): |
|
Parent UEI: |
|
NSF Program(s): |
OFFICE OF MULTIDISCIPLINARY AC, APPLIED MATHEMATICS, PMP-Particul&MultiphaseProcess, GOALI-Grnt Opp Acad Lia wIndus, WORKFORCE IN THE MATHEMAT SCI |
Primary Program Source: |
01002122DB NSF RESEARCH & RELATED ACTIVIT 01001617DB NSF RESEARCH & RELATED ACTIVIT 01001920DB NSF RESEARCH & RELATED ACTIVIT |
Program Reference Code(s): |
|
Program Element Code(s): |
|
Award Agency Code: | 4900 |
Fund Agency Code: | 4900 |
Assistance Listing Number(s): | 47.049 |
ABSTRACT
This award supports an interdisciplinary team of three investigators using mathematical modeling, computer simulations, and experiments to develop improved predictive models for the behavior of cell membranes in certain contexts. This research project concerns the mathematical modeling of the interaction between a cell membrane and a solid particle, a physical process that is essential to cell adhesion to a solid surface and cellular uptake (endo/exocytosis) of colloidal nanoparticles (e.g., drug carriers). Advances in nano- and biomedical engineering have made it possible to design smart materials for more effective medical treatments (e.g., targeted drug delivery). These technical developments are based on understanding how a cell membrane interacts with colloidal particles in a fluid environment filled with ions and macromolecules. It is imperative to better understand the physical processes that underpin such ubiquitous membrane-solid interactions in a complex fluid environment.
This project aims to develop new mathematical models and numerical algorithms to describe quantitatively the particle-membrane interactions by considering random thermal fluctuations, electrokinetic effects, and nanoscale phenomena (e.g., molecular layering) that are commonly ignored in conventional continuum-based approaches. Microfluidic experiments will be developed in parallel to guide the mathematical and computational modeling of a membrane interacting with solid surfaces with curvature and/or localized features. This project will advance the mathematical modeling of a lipid bilayer membrane (LBM) interacting with solid surfaces and particles by considering the presence of the thin liquid film filling the gap between the LBM and other solid surfaces. It is hypothesized that, through physically consistent effective interaction potentials, a continuum-based thin film equation can capture the macroscopic spreading dynamics of LBMs on surfaces with variable wetting properties and zeta potentials, under different ionic strengths. One of the main results from the mathematical modeling will be the stochastic nonlinear lubrication equation for the height of the thin liquid film between the LBM and a solid surface. Theoretical predictions, such as LBM adhesion and spreading time, will be compared against experimental results for validation and model refinement. The developed model will be employed to investigate the adhesion of a LBM (1) under different ionic concentrations in the liquid and (2) on solid surfaces with curvature and localized features.
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.
PROJECT OUTCOMES REPORT
Disclaimer
This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.
This project was performed in collaboration with Prof. Y-N Young (NJIT) and H.A. Stone (Princeton U.) and has aimed to developing theoretical and computational modeling approaches that incorporate nanoscale and molecular-level interactions to predict more accurately the behavior of lipid bilayer membranes (LBMs) near a solid substrate or micro/nanoparticle immersed in liquid media. In particular, computational work using molecular dynamics simulations focused on the effect of solvation (or hydration) layers that form at liquid-solid interfaces and give rise to so-called solvation (or hydration) forces not considered in the conventional approaches for modeling the dynamics of lipid bilayers near interfaces. An important finding of the theoretical and computational work led by the PI’s group has been that the surface energy commonly employed in models to characterize the adhesion, curvature, and rupture of a LBM cannot be readily considered as a material property of the system. Results from this project document and rationalize the need to consider the surface energy, commonly related to the Young contact angle and work of adhesion, as a configuration- dependent parameter when the separation between the interfaces approaching contact (or in liquid-mediated contact) is below 10 to 15 molecular solvent diameters.
This project supported the professional development and graduation of 2 PhD students from underrepresented groups in STEM by providing training and mentoring on the application of computational tools for scientific computing and data mining. In particular, the PhD students involved in this project learned to employ large-scale molecular dynamics simulations using both fully atomistic and coarse-grained approaches, and machine learning methods for determining regime maps and phase diagrams from the results of such simulations. One of the PhD students in this project received supplemental support for his participation in the AGEP program with professional development and mentorship activities developed within the PI’ host institution. A third PhD student was additionally supported to complete a summer internship at Brookhaven National Laboratory, for which computational methods were applied to predict microphase separation in thin films of block copolymers onto well wetted substrates.
The outcomes of this project included collaborations with researchers at ESPCI (France), Utrecht University (Netherlands), Rutgers U. and Johns Hopkins U. that resulted in the publication of 2 articles in Physical Review Letters that study the interaction of micro/nanoparticles at water-water interfaces [Image 1] and solid-liquid interfaces [Image 2] where the nanoscale structure of the interface produces unexpected effects. The PI also produced a theoretical model published in JCP Communications [Image 3] for predicting the effective diffusivity in the presence of multiple energy barriers over nanoscale spatial lengths, such as those induced by nanoscale interfacial features and/or the solvation (or hydration) forces of interest in this project. An additional publication in Soft Matter [Image 4] in collaboration with Y-N Young and H.A. Stone reported the effect of hydration forces on the surface energy and Young contact angle and proposed an analytical model to include these nanoscale effects on conventional continuum descriptions for predicting capillary adhesion.
The methods and tools developed in this project are being currently employed by the PI and collaborators in this project to further understand adhesion problems that involve soft material interfaces and to develop technical applications that include food stabilizers, self-assembly of nanomaterials, and energy storage devices.
Last Modified: 03/06/2023
Modified by: Carlos E Colosqui
Please report errors in award information by writing to: awardsearch@nsf.gov.