Lipid monolayers at the air–liquid interface carry a surprising amount of information, but extracting it consistently has always been a manual, subjective process. SurfFitter changes that. Upload your pressure–area isotherm, and our thermodynamic model (PRISM) does the rest: phase boundaries, elastic moduli, changes in chemical potential, degrees of surface coverage of each phase… all with uncertainty quantification and no free-hand fitting.
Reference for citation: Paula Antelo-Riveiro, Angel Piñeiro, Rebeca García-Fandiño. PRISM: a phase-resolved surface equation of state across the full Langmuir isotherm. (Under Review)
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View complete resultsPRISM Model
SurfFitter model for the π-MMA isotherm
Paula Antelo-Riveiro, Angel Piñeiro, Rebeca García-Fandiño. PRISM: a phase-resolved surface equation of state across the full Langmuir isotherm. (Under Review)
SurfFitter analyzes isotherm data applying the PRISM model, which is built on basic thermodynamic relations. The PRISM model, although initially meant for lipid monolayers, is valid for monocomponent Langmuir monolayers of any insoluble surfactant. PRISM identifies the regimes of single-phase and phase coexistence in the isotherm taking as fitting parameters all the \(\mathrm{APL}\),\(\pi\) values that mark the boundaries between phases.
- At regions of single phase \(\beta\), surfactants occupy an average molecular area between \(\mathrm{APL}^\beta_{min}\) and \(\mathrm{APL}^\beta_{max}\), and surface pressure increases with monolayer compression according to the elasticity modulus \(K^\beta\).
- At regions of coexistence of \(\beta-\beta'\) phases, the molecular area for each phase is constant across compression: \(\mathrm{APL}^\beta_{min}\) and \(\mathrm{APL}^{\beta'}_{max}\), respectively. However, the proportion of molecules in each phase evolves with \(\mathrm{APL}\). Surface pressure should remain constant at coexistence according to the Gibbs phase rule strictely (PRISM-I approach), but can the formain of phase domains might deviate the isotherm from this behavior (PRISM-DC approach). This approach introduces additional fitting parameters (\(s\) and \(a\)) that account for the line tension between phases.
Additionally, based on the isotherm initial shape SurfFitter discriminates the presence of four phases in the isotherm (S-C-E-G) or only three (C-E-G and S-C-G). In any case, the PRISM model fitted parameters allow to extract additional thermodynamic information of the system:
| Degrees of surface coverage, \(\theta^\beta\) | The ratio of surface area occupied by each phase. |
| Surface concentration, \(\Gamma^\beta\) | The number of molecules in a certain phase per unit area of the total surface. |
| Elasticity modulus, \(K\) | It is the inverse of the compressibility modulus. It is defined as \(ln\frac{d\pi}{dA}\). |
| Chemical potential, \(\Delta \mu\) | The change in chemical potential provoked by a change in surface area. |
| First derivative of the chemical potential with respect to the surface tension, \(\frac{d\Delta \mu}{d\gamma}\) | The rate of change of the chemical potential with respect to the surface tension, which is equal to the surface area. At constant temperature, \(\frac{d\Delta \mu}{d\gamma} = - \frac{d\Delta \mu}{d\pi} = A\) |
S-solid, C-condensed, E-expanded, G-gas, b-bulk water, s-surface water.
About Us
The team behind SurfFitter
SurfFitter is developed by the SIMBIOS group at University of Santiago de Compostela, in the CIQUS research center. The SIMBIOS group is focused on the study of biomolecular interactions at interfaces, with a special emphasis on lipid monolayers and bilayers. We are interested in understanding the fundamental physical principles that govern the behavior of these systems, as well as their applications in fields such as drug delivery, biosensing, and nanotechnology. Angel Piñeiro (angel.pineiro@usc.es) and Rebeca García-Fandiño (rebeca.garcia.fandino@usc.es) are the principal investigators of the SIMBIOS group. SurfFitter was developed by Paula Antelo-Riveiro (paula.antelo@usc.es) as part of her PhD thesis, and Cesar Porto (cesar.porto@usc.es) for the web development. You can also contact us at surffitterprism@gmail.com.