Optimal estimation of cell movement indices from the statistical analysis of cell tracking data

Abstract

Active cell migration is essential in many physiological processes and in the func

An integrated approach to the characterization of cell movement

“…The value AEd 2 (t)ae can be obtained by tracking the cell positions, as explained by Dickinson and Tranquillo (22). Once AEd 2 (t)ae is available, the values of S and P can be estimated by the method proposed by Dunn (30) and revised by Dickinson and Tranquillo (22), which consists in fitting the Eq.…”

“…Once AEd 2 (t)ae is available, the values of S and P can be estimated by the method proposed by Dunn (30) and revised by Dickinson and Tranquillo (22), which consists in fitting the Eq. (3) to the mean-squared displacement points with a generalized nonlinear least-squares regression.…”

“…While the more specific literature on cell movement is still relatively incipient, it is often interesting to consider other types of approaches to biological movement, such as dictyostelium slug (20) and ant navigation (21). Most of the measurements considered in such works, except for the persistence time and root-mean-squared velocity features (22)(23)(24)(25), are relatively simple and often restricted to specific aspects of cell movement and interaction, with little integration between the proposed approaches. The directional persistence time (P) and root-mean-squared speed (S), covered in detail by Dickinson and Tranquillo (22), Zygourakis (23), Ware and colleagues (24), and DiMilla and colleagues (25), are interesting features based on relatively sophisticated statistical mechanics concepts that, roughly speaking, are aimed at estimating the tendency of the cell to conserve its movement.…”

Stochastic models for cell motion and taxis

“…Previously, estimation of parameters in models such as (M1) and (M2) has been carried out by the method of least squares [15,49] or generalized least squares [12]. Maximum likelihood estimation is the preferred method for efficient inference in similar models arising from econometric and scientific time series analysis [20,28].…”

Electrotaxis of lung cancer cells in ordered three-dimensional scaffolds

“…A number of studies have been done to reveal the effects of 2D versus 3D cell culture on differentiation, [21][22][23][24][25] drug metabolism, [26][27][28][29][30] gene expression and protein synthesis, [31][32][33][34][35] general cell function, [36][37][38][39][40] increase of in vivo relevance, 31,[41][42][43] morphology, [44][45][46][47] proliferation, 26,[48][49][50][51] response to stimuli, 41,[52][53][54] viability, 36,[55][56][57] and migration. [58][59][60][61] Adding the third dimension to cellular environment provides them with more in vivo-like morphology, behaviors, and intercellular interactions for understanding cytology in more physiological conditions. 3D scaffolds are introduced to mimic cells' in vivo environment while cultured in vitro.…”