Estimation of protein diffusion parameters

Abstract

Protein diffusion offers an essential and elegant mechanism for morphogen gradient formation. Morphogens are signalling molecules that emanate from a particular region of cells and create a gradient, which has an impact on most biological processes, including cell signalling and embryonic development. Using a method that is based on singular spectrum analysis, we estimate parameters introduced in the synthesis diffusion degradation model, which is a commonly applied model for a transcription factor known as bicoid. Our findings, consistent with simulation results, indicate that the proposed method can be practically applied as an enhanced parameter estimation technique with reduced sensitivity to various levels of noise.

Forecasting with auxiliary information in forecasts using multivariate singular spectrum analysis

“…We use the Root Mean Squared Error (RMSE), which is one of the most frequently cited loss functions in forecasting literature [12,23,24,45], and the Ratio of the RMSE (RRMSE) to evaluate and distinguish between the forecasts obtained via different models.…”