XXX Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie
16 – 20 września 2025

Warmia i Mazury

Materiały konferencyjne

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Proceedings of the XXII National Conference Application of Mathematics to Biology and Medicine, September 5–9, 2016, Sandomierz

ISBN: 978-83-65139-54-2

Opis fizyczny: 149 s.; wyk.; tab.; 24 cm.


Spis treści

Part I: Full papers
Piotr Bajger, Mariusz Bodzioch: Hahnfeldts et al. model adapted for heterogeneous tumours 13
Magdalena U. Bogdańska, Marek Bodnar, Monika J. Piotrowska: Mathematical model of malignant transformation of gliomas 19
Marta Danch-Wierzchowska, Damian Borys, Andrzej Świerniak: Deformation modeling of breast based on MRI and FEM 25
Marzena Dołbniak, Marek Kimmel: Chaos versus randomness in cell cycle dynamics: correlation dimension analysis 31
Urszula Foryś: Time delays in the Gottman, Murray et al. model of marital interac-tions 39
Karol Górski, Mateusz Cieszyński, Piotr Boguś: Application of multimodal techniques in analysis of endoscopic images 45
Stanisaw Kacprzak, Mariusz Ziółko: Multilanguage modeling of phones 53
Mikhail Kolev, Iveta Nikolova: Some remarks on a mathematical model of bacterial cell growth 59
Maria Kowalska, Iwona S lonecka, Krzysztof W. Fornalski: The use of bayesian analysis for biological dose assessment by the dicentric assay after overexposures of people to fission neutrons 65
Maciej Leszczyński, Elżbieta Ratajczyk, Urszula Ledzewicz, Heinz Schättler: Optimal control for a mathematical model of chemotherapy with Michaelis-Menten type pharmacodynamics 73
Joanna Napiórkowska, Zbigniew Peradzyński: Searching for instability 79
Magdalena Ochab, Krzysztof Puszyński, Andrzej Świerniak: Application of the piece-wise linear models for description of nonlinear biological systems based on p53 regulatory unit 85
Elżbieta Ratajczyk, Maciej Leszczyński, Urszula Ledzewicz, Avner Friedman: Efficacy of a combination therapy for a mathematical model of glioma 91
Part II: Abstracts — Invited speakers
Jacek Banasiak: Dynamical systems on networks — on the crossroads of continuous and discrete mathematics 101
Mark Chaplain: Micro, meso and macro: mathematical modelling of cancer at multiple scales or multiscale cancer modelling? 102
Marek Cieplak: Folding of knotted proteins under nascent conditions and their unfolding in proteasomes 103
Mateusz Dȩbowski, Mohammed El Dika, Jacek Malejczyk, Robert Zdanowski, Claude Prigent, Jean-Pierre Tassan, Małgorzata Kloc, Mirosław Lachowicz, Jacek Z. Kubiak: Mathematical model of interplay between CDK1, PP2A and CDC25 in regulation of timing of M-phase entry and its consequences for further biological experiments 104
Mirosław Lachowicz: Logistic growth and the individual level 106
Danuta Makowiec, Zbigniew Struzik: Tensor of self-transfer entropy in estimates of changes in heart rhythm related to aging 107
Jacek Miȩkisz: Exact results in self-regulating genes 108
Marek Pajek: Statistical analysis of censored data 109
Piotr Sobolewski: What do we know and what would we like to know? The role of mathematics in neurological sciences — selected issues 110
Part II: Abstracts — Contributed talks
Joanna Balbus: Permanence in N species competitive reaction diffusion advection systems 113
Agnieszka Bartłomiejczyk: Tuberculosis model with time delay 114
Przemysław Biecek: Training of cross-platform genetic signatures with applications to The Cancer Genome Atlas Data 115
Marek Bodnar, Urszula Foryś: Delays do not cause oscillations in a corrected model of humoral mediated immune response 116
Magdalena Bojarojć, Maria Kowalska, Beata Brzozowska, Andrzej Wójcik: A tool for radiation exposure estimation in case of a radiological emergency 117
Katarzyna Buszko, Agnieszka Piątkowska, Edward Koźluk: The analysis of cardiovascular response on titlt table test in diagnosis of syncope 118
Marcin Choiński, Małgorzata Zdanowicz, Urszula Foryś: Criss-cross model of tuberculosis for homeless and non-homeless subpopulations 119
Antoni Leon Dawidowicz, Damian Jabłczyk, Jerzy Leszek Zalasiński: Development of monocarpic plants with multiple life cycle during the year 120
Marcin Drabik, Michał Arabski, Kazimierz Dworecki, Jacek Semaniak, Andrzej Ślȩzak, Sławomir Wąsik, Jerzy Żuk: The algorithms used to determine the surface wettability and surface tension 121
Piotr Drygaś: Effective properties of fiber biomaterials 122
Kazimierz Dworecki, Ewa Tomal, Marcin Drabik, Jacek Semaniak, Sławomir Wąsik: The effect of agarose hydrogel concentration on diffusion of biomolecules 123
Michał Jakubczak, Krzysztof Fujarewicz: Parameter estimation of age-structured model of cell cycle using adjoint sensitivity analysis 124
Dominika Jasińska: A spatial individual-based birth and death model with age structure 125
Piotr Kalita, José A. Langa, Grzegorz Łukaszewicz: Bounds on the vertical heat transfer for the Rayleigh-Bénard convection in the micropolar fluid 126
Małgorzata Kardyńska, Jarosław Śmieja: Using simplified models in the study of interactions between signaling pathways 127
Yuri Kondratiev, Jurij Kozicki: Self-regulation in continuum population models 128
Adam Korpusik: On a nonstandard finite difference scheme for the Nowak-Bangham model of cellular immune response to viral infection 129
Krzysztof Łakomiec, Krzysztof Fujarewicz: Application of adjoint sensitivity analysis to optimization of the radiotherapy treatment plan 130
Andrzej Nowak, Michele J. Gelfand, Wojciech Borkowski, Dov Cohen, Ivan Hernandez: The evolutionary basis of honor cultures 131
Magdalena Nowak: Chaos Game Representation as a method of clustering and distinguishing DNA base pair frequencies 132
Krzysztof Pilorz: Repulsive jumps with free coalescence in continuum: the microscopic description 133
Monika J. Piotrowska: On the influence of different types of delays on the dynamics of generalized tumour-immune system interactions model 134
Jarosław Piskorski, Przemysław Guzik: Heart rate asymmetry — methods and results 135
Piotr Polanowski, Jeremiasz K. Jeszka, Krzysztof Matyjaszewski: Polymerization of complex macromolecules using ATRP method — computer simulation studies 136
Massimiliano D. Rosini: Rigorous derivation of nonlinear conservation laws from follow-the-leader type models via many particle limit 137
Anna Szafrańska, Jacky Cresson: Positivity preserving numerical scheme for fractional mathematical models of bilogical and epidemiological phenomenos 138
Zuzanna Szymańska: A cellular heat shock response model and simulations 139
Agnieszka Tanaś: A continuum individual based model of fragmentation: micro- and mesoscopic description 140
Katarzyna Tessmer, Beata Graff, Grzegorz Graff: Ordinal pattern approach for the assessment of heart rate and systolic blood pressure coupling 141
Sławomir Wąsik, Michał Arabski, Marcin Drabik, Kazimierz Dworecki, Tadeusz Kosztołowicz, Katarzyna D. Lewandowska, Jacek Semaniak, Andrzej Ślȩzak: Interferometric analysis of diffusion in the system with the free phase boundary 142
Komitet Naukowy

prof. dr hab. inż. Mariusz Ziółko — przewodniczący

prof. Adam Łomnicki — honorowy przewodniczący

prof. dr hab. Wojciech Bartoszek

prof. dr hab. Adam Bobrowski

dr hab. Marek Bodnar

dr hab. Piotr Boguś

dr hab. Antoni Leon Dawidowicz

prof. Zdzisław Denkowski

dr hab. Urszula Foryś

dr hab. Krzysztof Fujarewicz

dr hab. Tadeusz Kosztołowicz

prof. dr hab. Jan Kozłowski

prof. dr. hab. Mirosław Lachowicz

prof. Urszula Ledzewicz

dr hab. Henryk Leszczyński

dr hab. Tomasz Lipniacki

prof. dr hab. Kazimierz Madaliński

dr hab. Anna Marcinak-Czochra

prof. dr hab. Zbigniew Peradzyński

dr hab. Kazimierz Piechór

dr hab. med. Jacek A. Pietrzyk

prof. dr hab. Andrzej Polański

prof. dr hab. Ryszard Rudnicki

prof. dr hab. inż. Józef Suliński

dr hab. Jarosław Śmieja

prof. dr hab. Andrzej Świerniak

prof. dr hab. Janusz Uchmański

prof. dr hab. Jacek Waniewski

prof. dr hab. Romuald Wit

Organizatorzy

Instytut Fizyki, Uniwersytet Jana Kochanowskiego, Kielee

Honorowy patronat

Marek Bronkowski — burmistrz Sandomierza

Adam Jarubas — marszałek województwa świętokrzyskiego

Komitet Organizacyjny

Tadeusz Kosztołowicz — przewodniczący

Katarzyna D. Lewandowska — sekretarz

Urszula Foryś

Kazimierz Dworecki

Marcin Drabik

Barbara Wodecka