Welcome to SurfFitter, an application for analyzing π-MMA isotherms for monocomponent insoluble surfactant monolayers.
This app takes your isotherm data and fits it to the PRISM model, which describes the monolayer phase behavior and thermodynamics across compression.

Reference for citation: SurfFitter reference.

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Data files are accepted in KSV NIMA and NIMA formats, or a CSV/TXT file with columns: APL in nm2/lipid and \(\pi\) in mN/m (see available sample files). In case of any trouble with the file format, please contact us at surffitter@ciqus.usc.es.

SURFFITTER MODEL FOR THE π-MMA ISOTHERM: PRISM

PRISM: a phase-resolved surface equation of state across the full Langmuir isotherm. Reference:

The model employed in SurfFitter, the PRISM model, is derived from basic thermodynamics equations. It 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 (white dots in the figure above). See the article referenced above for a more detailed explanation.

  • At regions of pure phase \(\beta\), lipids occupy an average molecular area between \(\mathrm{APL}^\beta_{min}\) and \(\mathrm{APL}^\beta_{max}\), and the surface pressure increases with the monolayer compression according to the elasticity modulus \(K^\beta\) of that phase.
  • At coexistence regions, for any \(\mathrm{APL}\) value, lipids in the \(\beta,\beta'\) phases occupy a constant average molecular area \(\mathrm{APL}^\beta_{min}\) and \(\mathrm{APL}^\beta_{max}\), respectively. It is the proportion of lipids at each phase that changes across compression. The surface pressure, according strictely to the Gibbs phase rule, is constant and equal to \(\pi^{\beta\beta'}\) (PRISM-I). However, there might be some deviations from ideality (light slopes in the isotherms) due to line tension at phase domains (PRISM-DC).

SurfFitter implementation of the PRISM model considers the introduction of PRISM-DC only when statistically needed. Moreover, it takes into account that not all phases might be present in the isotherm, and proposes two alternative phase identification schemes when ambiguity. In any case, the 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, \(K^\beta\) It is the inverse of the compressibility modulus and is calculated for each lipid phase. It determines the rate of increase in surface pressure under compression.
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

SurfFitter is developed by the SIMBIOS group at USC, 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.

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