Temat: Matematyka - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Analysis of Immunotherapy Models in the Context of Cancer Dynamics
Autorzy:: Szymańska, Z.
Powiązania:: https://bibliotekanauki.pl/articles/908152.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: medycyna
matematyka
dynamic systems
immune system
cancer
vaccination
Opis:: A basic mathematical model of the immune response when cancer cells are recognized is proposed. The model consists of six ordinary differential equations. It is extended by taking into account two types of immunotherapy: active immunotherapy and adoptive immunotherapy. An analysis of the corresponding models is made to answer the question which of the presented methods of immunotherapy is better. The analysis is completed by numerical simulations which show that the method of adoptive immunotherapy seems better for the patient at least in some cases.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 407-418
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Wybrane osiągnięcia cywilizacji arabsko-muzułmańskiej
Selected Achievements of the Arabic and Muslim Civilisation
Autorzy:: Borucka, Monika
Powiązania:: https://bibliotekanauki.pl/articles/480786.pdf
Data publikacji:: 2013
Wydawca:: Wydawnictwo Księży Werbistów Verbinum
Tematy:: Arabowie
nauka
matematyka
medycyna
geografia
Arabs
science
mathematics
medicine
geography
Opis:: Arabowie cenili naukę. Ich potężna ekspansja pozytywnie wpłynęła na rozwój m.in. matematyki, medycyny i astronomii w średniowiecznej rzeczywistości. Bazując na dorobku ościennych cywilizacji, a także odkrywając, poprzez liczne tłumaczenia, wartość cywilizacji klasycznych, stali się pionierami nowych dyscyplin, a także wnieśli imponujący wkład w już istniejące. Istotnym elementem na drodze naukowych sukcesów był język arabski. O kierunku rozwoju nauki decydował w dużej mierze Koran. Obecnie, niestety zwykle nieświadomie, posługujemy się wieloma zwrotami pochodzenia arabskiego. Wkład cywilizacji arabsko-muzułmańskiej i jego wpływ na współczesny stan wiedzy z pewnością zasługują na uwagę.
The appreciation of science among the Arabs and their huge territorial expansion fostered development of mathematics, medicine and astronomy in the Medieval world. Borrowing extensively from neighbouring civilisations and drawing on ancient wisdom through numerous translations of classical authors, they not only improved the existing knowledge, but ventured into new fields of scientific inquiry. The Qur’an was a determining factor in charting new ways forward, and the Arabic language contributed significantly to their scientific successes. Today, we use many phrases derived from Arabic – unfortunately, most often we do it quite unknowingly. The contribution of the Arab-Muslim civilisation and its impact on the modern knowledge certainly deserves attention.
Źródło:: Nurt SVD; 2013, Wydanie specjalne 2013; 85-91
1233-9717
Pojawia się w:: Nurt SVD
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Dynamics of the Tumor---Immune System Competition---the Effect of Time Delay
Autorzy:: Gałach, M.
Powiązania:: https://bibliotekanauki.pl/articles/908151.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: medycyna
matematyka
mathematical model
tumor growth
differential equation
time delay
Opis:: 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 a better compatibility with reality.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 395-406
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Mathematical Modeling of the Competition Between Acquired Immunity and Cancer
Autorzy:: Kolev, M.
Powiązania:: https://bibliotekanauki.pl/articles/908160.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: medycyna
matematyka
leukemia
acquired immunity
immunotherapy
antibodies
integro-differential equations
Opis:: In this paper we propose and analyse a model of the competition between cancer and the acquired immune system. The model is a system of integro-differential bilinear equations. The role of the humoral response is analyzed. The simulations are related to the immunotherapy of tumors with antibodies.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 289-296
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Modelling Tumour-Immunity Interactions With Different Stimulation Functions
Autorzy:: Zhivkov, P.
Waniewski, J.
Powiązania:: https://bibliotekanauki.pl/articles/908163.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: medycyna
matematyka
ordinary differential equations
critical points
stability analysis
immunotherapy
Opis:: Tumour immunotherapy is aimed at the stimulation of the otherwise inactive immune system to remove, or at least to restrict, the growth of the original tumour and its metastases. The tumour-immune system interactions involve the stimulation of the immune response by tumour antigens, but also the tumour induced death of lymphocytes. A system of two non-linear ordinary differential equations was used to describe the dynamic process of interaction between the immune system and the tumour. Three different types of stimulation functions were considered: (a) Lotka-Volterra interactions, (b) switching functions dependent on the tumour size in the Michaelis-Menten form, and (c) Michaelis-Menten switching functions dependent on the ratio of the tumour size to the immune capacity. The linear analysis of equilibrium points yielded several different types of asymptotic behaviour of the system: unrestricted tumour growth, elimination of tumour or stabilization of the tumour size if the initial tumour size is relatively small, otherwise unrestricted tumour growth, global stabilization of the tumour size, and global elimination of the tumour. Models with switching functions dependent on the tumour size and the tumour to the immune capacity ratio exhibited qualitatively similar asymptotic behaviour.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 307-315
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Optimal Control for a Class of Compartmental Models in Cancer Chemotherapy
Autorzy:: Świerniak, A.
Ledzewicz, U.
Schättler, H.
Powiązania:: https://bibliotekanauki.pl/articles/908158.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: medycyna
matematyka
compartmental models
cancer chemotherapy
optimal control
necessary and sufficient conditions for optimality
Opis:: We consider a general class of mathematical models P for cancer chemotherapy described as optimal control problems over a fixed horizon with dynamics given by a bilinear system and an objective which is linear in the control. Several two- and three-compartment models considered earlier fall into this class. While a killing agent which is active during cell division constitutes the only control considered in the two-compartment model, Model A, also two three-compartment models, Models B and C, are analyzed, which consider a blocking agent and a recruiting agent, respectively. In Model B a blocking agent which slows down cell growth during the synthesis allowing in consequence the synchronization of the neoplastic population is added. In Model C the recruitment of dormant cells from the quiescent phase to enable their efficient treatment by a cytotoxic drug is included. In all models the cumulative effect of the killing agent is used to model the negative effect of the treatment on healthy cells. For each model it is shown that singular controls are not optimal. Then sharp necessary and sufficient optimality conditions for bang-bang controls are given for the general class of models P and illustrated with numerical examples.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 357-368
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: Logistic Equations in Tumour Growth Modelling
Autorzy:: Foryś, U.
Marciniak-Czochra, A.
Powiązania:: https://bibliotekanauki.pl/articles/908165.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: matematyka
medycyna
logistic equation
delay differential equation
reaction-diffusion equation
stability
global stability
Hopf bifurcation
spatial pattern
Ehrlich ascities tumour
Opis:: The aim of this paper is to present some approaches to tumour growth modelling using the logistic equation. As the first approach the well-known ordinary differential equation is used to model the EAT in mice. For the same kind of tumour, a logistic equation with time delay is also used. As the second approach, a logistic equation with diffusion is proposed. In this case a delay argument in the reaction term is also considered. Some mathematical properties of the presented models are studied in the paper. The results are illustrated using computer simulations.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 317-325
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

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