Four dimensional particle tracking in biological dynamic processes

Here is presented a general approach to data analysis in multidimensional space using the run length encoding process and volume field method. A study on volume field was carried in order to test the limits on the method and testing against simple Gaussian objects (spots) was made: quantitative measurement was then carried using an angle distribution parameter between the computed results and the expected values. An application of volume field method was tested against results from simulations of chromosome territories using the spherical loop domain (SCD) and the quantitative comparison was made in order to clarify real applications in biologic related field. Two experiment were made, using the run length encoding method. From biological samples subjected to in vivo labeling an then to FISH hybridization, we analyzed the sub-chromosomal movements to see if there were modifications to the underlying structures: we quantify these displacements and compared to other measurements made with other methods. A time recorded HeLA cell sample in vivo labeled was analyzed and his internal marked chromosomes were tracked to analyze displacements related to the activities: here, using the run length encoding, spots were tracked and extracted. A successive Monte Carlo minimization algorithm was used in order to reduce systematic errors.