Wyniki wyszukiwania - BazTech

1

Controllability of a model of combined anticancer therapy

Klamka J., Świerniak A.

Control and Cybernetics

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2013

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Vol. 42, no. 1

123--138

EN

Controllability of combination of antiangiogenic treatment and chemotherapy is considered. A model used in the paper is a finite-dimensional dynamical control system described by secondo order semilinear time invariant ordinary differential state equations. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear second-order dynamical control system.

2

Recognition of human body poses and gesture sequences with gesture description language

Hachaj T., Ogiela M. R.

Journal of Medical Informatics & Technologies

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2012

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Vol. 20

129--135

EN

This paper presents our new proposition of human body poses and gesture description methodology for Natural User Interfaces. Our approach is based on forward chaining inferring schema performed on the set of rules that are defined with formal LALR grammar. The set of rules is called Gesture Description Language (GDL) script while automated reasoning module with heap-like memory is a GDL interpreter. We have also implemented and tested our initial GDL specification and we have obtained very promising early experiments results.

3

Spatial evolutionary games and radiation induced bystander effect

Krześlak M., Świerniak A.

Archives of Control Sciences

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2011

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Vol. 21, no. 2

135-150

EN

We present an application of evolutionary game theory to modeling of some processes important from oncological point of view. A studied phenomenon is a radiation induced bystander effect, in which three different strategies (phenotypes) of cells take part. The proposed payoff table of fitness, related to environment adaptation and genetic cell behavior, contains costs/profits of bystander effect, choice of apoptotic pathway, producing growth factors and resistance against bystander effect. We consider a game theory model including spatial cells allocation (the game is played on lattice). We discuss also different polymorphic equilibrium points dependent on model parameters, types of spatial games and players distribution.

4

The scheduling of angiogenic inhibitors minimizing tumor volume

Ledzewiecz U., Marriott J., Maurer H., Schättler H.

Journal of Medical Informatics & Technologies

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2008

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Vol. 12

23--28

EN

The efficiency of piecewise constant protocols with a small number of switchings is investigated for a mathematical model of tumor anti-angiogenesis formulated originally by Hahnfeldt et al. in [8]. By comparing with the theoretically optimal solution derived earlier [12] it will be seen that for the problem of minimizing the primary cancer volume with a given amount of angiogenic inhibitors to be administered constant protocols already provide very good suboptimal strategies.

5

Finite dimensional models of drug resistant and phase specific cancer chemotherapy

Ledzewicz U., Schättler H., Świerniak A.

Journal of Medical Informatics & Technologies

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2004

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Vol. 8

IP5--14

EN

The problem of modelling drug resistance and phase specificity of cancer chemotherapy using finite dimensional models were considered. We formulate optimal control problems arising in protocol design for such models and discuss research issues resulting from these formulations.

6

Asymptotic analysis of three random branching walk models arising in molecular biology

Świerniak A., Polański A., Śmieja J., Kimmel M., Rzeszowska-Wolny J.

Control and Cybernetics

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2003

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Vol. 32, no 1

147-162

EN

Using asymptotic techniques based on Laplace transforms, spectral analysis and theory of feedback systems, we characterise the asymptotic behaviour of the repeat loci in microsatellite DNA and cancer cells with increasing number of copies of genes responsible for coding proteins causing drug removal or metabolisation as well as telomeres shortening, which is supposed to be the mechanism of ageing and death. These three problems are described by models in the form of infinitely many differential linear or bilinear first order equations, resulting from branching random walk processes used to represent the evolution of particles in these problems.

PL

Wykorzystując techniki asymptotyczne oparte na transformatach Laplace'a, analizę spektralną oraz teorię układów ze sprzężeniem zwrotnym w artykule scharakteryzowano zachowanie asymptotyczne powtórek w DNA mikrosatelitarnym oraz w komórkach rakowych z rosnącą liczbą kopii genów odpowiedzialnych za kodowanie białek powodujących usuwanie lub przemianę metaboliczną leków, a także skracanie telomerów, o którym się sądzi, że jest mechanizmem starzenia się i śmierci. Te trzy zagadnienia są opisywane przy pomocy modeli w postaci nieskończonej liczby liniowych lub biliniowych równań pierwszego rzędu, wynikających z procesów błądzenia, stosowanych do opisu ewolucji cząstek w tych zagadnieniach.