Scale space methods for analysis of type 2 diabetes patients' blood glucose values.
Scheduling chemotherapy: Catch 22 between cell kill and resistance evolution.
Scheduling medical procedures: how one single delay begets multiple subsequent delays.
Seeking bang-bang solutions of mixed immuno-chemotherapy of tumors.
Segmentation of breast cancer fine needle biopsy cytological images
This paper describes three cytological image segmentation methods. The analysis includes the watershed algorithm, active contouring and a cellular automata GrowCut method. One can also find here a description of image pre-processing, Hough transform based pre-segmentation and an automatic nuclei localization mechanism used in our approach. Preliminary experimental results collected on a benchmark database present the quality of the methods in the analyzed issue. The discussion of common errors and...
Selecting differentially expressed genes for colon tumor classification
DNA microarrays provide a new technique of measuring gene expression, which has attracted a lot of research interest in recent years. It was suggested that gene expression data from microarrays (biochips) can be employed in many biomedical areas, e.g., in cancer classification. Although several, new and existing, methods of classification were tested, a selection of proper (optimal) set of genes, the expressions of which can serve during classification, is still an open problem. Recently we have...
Simpel modelling of extracellular matrix alignment in dermal wound healing. I: Cell flux induced alignment.
Solutions for the cell cycle in cell lines derived from human tumors.
Solutions of inverse problems with potential application for breast tumour detection using microwave measurements.
Solving algebraic problems in propositional logic by tableau.
Spatial correlation of gene expression measures in tissue microarry core analysis.
Spatial Dynamics of Contact-Activated Fibrin Clot Formation in vitro and in silico in Haemophilia B: Effects of Severity and Ahemphil B Treatment
Spatial dynamics of fibrin clot formation in non-stirred system activated by glass surface was studied as a function of FIX activity. Haemophilia B plasma was obtained from untreated patients with different levels of FIX deficiency and from severe haemophilia B patient treated with FIX concentrate (Ahemphil B) during its clearance with half-life t1/2=12 hours. As reported previously (Ataullakhanov et al. Biochim Biophys Acta 1998; 1425: 453-468), clot growth in space showed two distinct phases:...
Spatial evolutionary games of interaction among generic cancer cells.
Spatial tumor-immune modeling.
Spatio-Temporal Modelling of the p53–mdm2 Oscillatory System
In this paper we investigate the role of spatial effects in determining the dynamics of a subclass of signalling pathways characterised by their ability to demonstrate oscillatory behaviour. To this end, we formulate a simple spatial model of the p53 network that accounts for both a negative feedback and a transcriptional delay. We show that the formation of protein density patterns can depend on the shape of the cell, position of the nucleus, and the protein diffusion rates. The temporal...
Stability analysis of a model of atherogenesis: an energy estimate approach. II.
Stability analysis of a model of atherogenesis: an energy estimate approach.
Stability Analysis of Cell Dynamics in Leukemia
In order to better understand the dynamics of acute leukemia, and in particular to find theoretical conditions for the efficient delivery of drugs in acute myeloblastic leukemia, we investigate stability of a system modeling its cell dynamics. The overall system is a cascade connection of sub-systems consisting of distributed delays and static nonlinear feedbacks. Earlier results on local asymptotic stability are improved by the analysis of the linearized...
Stability of a two-strain tuberculosis model with general contact rate.
Stability results for a class of differential equation and application in medicine.