Classification and evolutionary trends of icosahedral viral capsids.
Classification of cancer recurrence with alpha-beta BAM.
Comparison of six models of antiangiogenic therapy
Six models of antiangiogenic therapy are compared and analyzed from control-theoretic point of view. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network, and are based on the idea proposed by Hahnfeldt et al. Moreover, we analyse optimal control problems resulting from their use in treatment protocol design.
Compartmental models of immunological tolerance
Complementary analysis of the initial value problem for a system of o.d.e. modelling the immune system after vaccinations
Complementary analysis of a model of the human immune system after a series of vaccinations, proposed in [7] and studied in [6], is presented. It is shown that all coordinates of every solution have at most two extremal values. The theoretical results are compared with experimental data.
Computational modeling of tumor response to vascular-targeting therapies. I: Validation.
Correlation of mechanical factors and gallbladder pain.
Cyclical thrombocytopenia: Characterization by spectral analysis and a review.
Data mining methods for gene selection on the basis of gene expression arrays
The paper presents data mining methods applied to gene selection for recognition of a particular type of prostate cancer on the basis of gene expression arrays. Several chosen methods of gene selection, including the Fisher method, correlation of gene with a class, application of the support vector machine and statistical hypotheses, are compared on the basis of clustering measures. The results of applying these individual selection methods are combined together to identify the most often selected...
Defibrillation in models of cardiac muscle.
Derivation of the tumour control probability (TCP) from a cell cycle model.
Development and evaluation of a stochastic simulation of cartilage bone osteogenesis.
Development and validation of a mathematical model to describe anti-cancer prodrug activation by antibody-enzyme conjugates.
Development of a species-specific model of cerebral hemodynamics.
Different models of chemotherapy taking into account drug resistance stemming from gene amplification
This paper presents an analysis of some class of bilinear systems that can be applied to biomedical modelling. It combines models that have been studied separately so far, taking into account both the phenomenon of gene amplification and multidrug chemotherapy in their different aspects. The mathematical description is given by an infinite dimensional state equation with a system matrix whose form allows decomposing the model into two interacting subsystems. While the first one, of a finite dimension,...
Docking simulations and QM/MM studies between isoniazid prodrug, catalase-peroxidase (KatG) and S315T mutant from mycobacterium tuberculosis.
Drugs in the Classroom: Using Pharmacokinetics to Introduce Biomathematical Modeling
Pharmacokinetics is an excellent way to introduce biomathematical modeling at the sophomore level. Students have the opportunity to develop a mathematical model of a biological phenomenon to which they all can relate. Exploring pharmacokinetics takes students through the necessary stages of mathematical modeling: determining the goals of the model, deciphering between the biological aspects to include in the model, defining the assumptions of the model, and finally, building, analyzing, using, and...
Dynamical morphology of the brain's ventricular cavities in hydrocephalus.
Dynamics of growth and signaling along linear and surface structures in very early tumors.
Dynamics of the tumor-immune system competition - the effect of time delay
The model analyzed in this paper is based on the model set forth by V.A. Kuznetsov and M.A. Taylor, which describes a competition between the tumor and immune cells. Kuznetsov and Taylor assumed that tumor-immune interactions can be described by a Michaelis-Menten function. In the present paper a simplified version of the Kuznetsov-Taylor model (where immune reactions are described by a bilinear term) is studied. On the other hand, the effect of time delay is taken into account in order to achieve...