References
- Fuhrmann A, Anselmetti D, Ros R, Getfert S, Reimann P. Refined procedure of evaluating experimental single-molecule force spectroscopy data. Phys. Rev. E. 2008;77:031912–1-31912-10.
- GetfertS, EvstigneevM, ReimannP. Single-molecule force spectroscopy: practical limitations beyond Bell’s model. Physica A. 2009;388:1120–1132.
- Getfert S, Reimann P. Suppression of thermally activated escape by heating. Phys. Rev. E. 2009;80:030101–1-030101-4.
- HeymannB, GrubmüllerH. Dynamic force spectroscopy of molecular adhesion bonds. Phys. Rev. Lett. 2000;84:6126–6129.
- BalseraM, StepaniantsS, IzrailevS, OonoY, SchultenK. Reconstructing potential energy functions from simulated force-induced unbinding processes. Biophys. J. 1997;73:1281–1287.
- DudkoOK. Single-molecule mechanics: new insights from the escape-over-a-barrier problem. Proc. Nat. Acad. Sci. U.S.A. 2009;106:8795–8796.
- DudkoOK, HummerG, SzaboA. Theory, analysis, and interpretation of single-molecule force spectroscopy experiments. Proc. Nat. Acad. Sci. U.S.A. 2008;105:15755–15760.
- HummerG, SzaboA. Kinetics from nonequilibrium single-molecule pulling experiments. Biophys. J. 2003;85:5–15.
- FreundLB. Characterizing the resistance generated by a molecular bond as it is forcibly separated. Proc. Nat. Acad. Sci. U.S.A. 2009;22:8818–8823.
- GardinerCW. Handbook of stochastic methods. Berlin: Springer; 1985.
- BorgG. Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Acta Math. 1946;78:1–96.
- McLaughlinJR. Analytical methods for recovering coefficients in differential equations from spectral data. SIAM Rev. 1986;28:53–72.
- BrownBM, SamkoVS, KnowlesIW, MarlettaM. Inverse spectral problem for the Sturm-Liouville equation. Inverse Probl. 2003;19:235–252.
- RundellW, SacksPE. The reconstruction of Sturm-Liouville operators. Inverse Probl. 1992;8:457–482.
- Zhou S, Cui M. Determination of unknown coefficients in parabolic equations. J. Heat Transfer. 2009;131:111303–1-111303-6.
- BalG, ChouT. On the reconstruction of diffusions from first-exit time distributions. Inverse Probl. 2003;20:1053–1065.
- LipmanEA, SchulerB, BakajinO, EatonWA. Single-molecule measurement of protein folding kinetics. Science. 2003;301:1233–1235.
- MassonJ-B, CasanovaD, TürkcanS, VoisinneG, PopoffM, VergassolaM, AlexandrouA. Inferring maps of forces inside cell membrane microdomains. Phys. Rev. Lett. 2009;102:1–4.
- Fok P-W, Chou T. Reconstruction of potential energy profiles from multiple rupture time distributions. Proc. R. Soc. London, Ser. A. 2010;466:3479–3499.
- Groetsch CW. Integral equations of the first kind, inverse problems and regularization: a crash course. J. Phys.: Conf. Ser. 2007;73:45–54.
- KressR. Linear integral equations. Berlin: Springer-Verlag; 1989.
- EnglHW, HankeM, NeubauerA. Regularization of inverse problems. Dordrecht: Kluwer; 1996.
- HankeM. A regularizing Levenberg-Marquardt scheme with applications to inverse groundwater filtration problems. Inverse Probl. 1997;13:79.
- ChipotM. Elliptic equations: an introductory course. Basel: Birkhäuser Verlag; 2009.
- TrefethenLN. Spectral methods in Matlab. Philadelphia (PA): SIAM; 2000.
- HohageT. Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and an inverse scattering problem. Inverse Probl. 1997;13:1279.
- Colton D, Engl HW, Louis AK, McLaughlin JR, Rundell W, editors. Surveys on solution methods for inverse problems. New York: Springer; 2000.
- BuchmannFM. Simulation of stopped diffusions. J. Comput. Phys. 2005;202:446–462.
- GiraudoMT, SacerdoteL. An improved technique for the simulation of first passage times for diffusion processes. Comm. Statist. Simulation Comput. 1999;28:1135–1163.