Protein misfolding diseases, including neurodegenerative disorders like Alzheimer’s disease, are characterized by the involvement of amyloid aggregation, which emphasizes the need for molecular biomarkers for effective disease diagnosis. The thesis addresses two aspects of biomarker development: firstly, the computation of vibrationally resolved spectra of small fluorescent dyes to detect amyloid aggregation, and secondly, the binding and unbinding processes of a novel ligand to the target protein. In relation to the first aspect, a hybrid model for vibrational line shapes of optical spectra, called VCI-in-IMDHO, is introduced. This model enables the treatment of selected modes using highly accurate and anharmonic vibrational wave function methods while treating the remaining modes using the approximate IMDHO model. This model reduces the computational cost and allows for the calculation of emission line shapes of organic dyes with anharmonicity in both involved electronic states. The interaction between the dyes and their environment is also explored to predict the photophysical properties of the oxazine molecules in the condensed phase. The position and the choice of the solvent molecule have a significant impact on the spectra of the studied systems as they altered the spectral band shape. However, further studies are necessary to confirmthe findings. In addition to neurodegenerative diseases, the systemic amyloidoses represent another group of disorders caused by misfolded or misassembled proteins. In the cardiac domain, the accumulation of amyloid fibrils formed by the transthyretin (TTR) protein leads to cardiac dysfunction and restrictive cardiomyopathy. The investigation of binding and unbinding pathways between the TTR protein and itsligands is crucial for gaining a comprehensive understanding and enabling early detection of systemic amyloidoses and related disorders. Hence, exploring the different binding modes and the dissociation pathways of TTR-ligand complex is the primary objective of the second aspect of this thesis. The experimental study provides evidence of binding and X-ray crystallographic structure data on TTRcomplex formation with the fluorescent salicylic acid-based pyrene amyloid ligand (Py1SA). However, the electron density from X-ray diffraction did not allow confident placement of Py1SA, possibly due to partial ligand occupancy. Molecular dynamics and umbrella sampling approaches were used to determine the preferred orientation of the Py1SA ligand in the binding pocket, with a distinct preference for the binding modes with the salicylic acid group pointing into the pocket.