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This paper presents a branching method for the solution of the fixed charge transportation problem. Starting with a linear formulation of the problem, we develop the method which converges to the optimal solution. The method is based on the computation of a lower bound and an upper bound embedded within a branching process. We present a detailed numericalâ€¦ (More)

It is demonstrated that very general nonlinear dynamical systems covering all cases arising in practice can be brought down to rate equations of chemical kinetics

We present a direct analytical algorithm for solving transportation problems with quadratic function cost coefficients. The algorithm uses the concept of absolute points developed by the authors in earlier works. The versatility of the proposed algorithm is evidenced by the fact that quadratic functions are often used as approximations for other functions,â€¦ (More)

- Krzysztof Kowalski, PaweÅ‚ Marciniak, Grzegorz RosiÅ„ski, Leszek Rychlik
- Frontiers in Zoology
- 2017

Animal toxins can have medical and therapeutic applications. Principally, toxins produced by insects, arachnids, snakes and frogs have been characterized. Venomous mammals are rare, and their venoms have not been comprehensively investigated. Among shrews, only the venom of Blarina brevicauda has been analysed so far, and blarina toxin has been proven to beâ€¦ (More)

In this paper we provide a heuristic algorithm for solving transportation problems with mixed constraints and extend the algorithm to find a more-for-less (MFL) solution, if one exists. Though many transportation problems in real life have mixed constraints, these problems are not addressed in the literature because of the rigor required to solve theseâ€¦ (More)

- Krzysztof Kowalski, Urszula Eichert, MichaÅ‚ Bogdziewicz, Leszek Rychlik
- Parasitology Research
- 2014

Only a few studies comparing flea composition on the coast and in the mountains have been conducted. We investigated differences in flea communities infesting small mammals in selected habitats in northern, central, and southern Poland. We predicted (1) a greater number of flea species in the southeastern Poland and a lower number in the north, (2) aâ€¦ (More)

- Krzysztof Kowalski, MichaÅ‚ Bogdziewicz, Urszula Eichert, Leszek Rychlik
- Parasitology Research
- 2014

Recognizing patterns of parasite distribution among wildlife hosts is of major importance due to growing risk of transmission of zoonotic diseases to humans. Thus, sex-dependent parasite distribution in higher vertebrates is extensively studied, and males are often found more parasitized than females. Male-biased parasitism may be the result of weakerâ€¦ (More)

A new method of determining BÃ¤cklund transformations for nonlinear partial differential equations of the evolution type is introduced. Using the Hilbert space approach the problem of finding BÃ¤cklund transformations is brought down to the solution of an abstract equation in Hilbert space.

A deformation of the Fock space based on the finite difference replacement for the derivative is introduced. The deformation parameter is related to the dimension of the finite analogue of the Fock space.

- Jan Magdalan, Andrzej AntoÅ„czyk, Krzysztof Kowalski, MichaÅ‚ PrzewÅ‚ocki, Krystyna Kochman, MaÅ‚gorzata Wasylko-Smolarek
- Przeglad lekarski
- 2004

A 22-year-old man was admitted to the acute intoxication unit after suicidal intoxication with 100 tablets of verapamil, diltiazem and isosorbide mononitrate. He developed shock, paralytic ileus and adult respiratory distress syndrome (ARDS). The patient required high doses of catecholamines and mechanical ventilation with high inspiratory pressure.â€¦ (More)