XXXI National Conference on Applications of Mathematics in Biology and Medicine: International Edition
September 15 – 19, 2026

Kościelisko (near Zakopane)

Materiały konferencyjne

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Proceedings of the XXX National Conference Application of Mathematics to Biology and Medicine, September 16–20, 2025, Wikno




Spis treści

Part I: Invited speakers
Yaroslav Bihun, Oleh Ukrainets: Modelling of immune response with ecological factor 7
Bruno Buonomo: Incorporating behavioral feedback via information index into epidemic integral models 9
Matteo Italia: Mathematical modeling of malignant gliomas: treatment dynamics and in silico trials 10
Andrzej Jankowski, Andrzej Skowron, Piotr Artiemjew, Diana Domańska, Soma Dutta, Ewelina Żarłok, Mateusz Dąbkowski, Dominik Wawrzuta: The Changing Role of Mathematics in Medicine and Biology in the 21st Century: An Oncology Perspective 11
Eugene Kashdan: Reconstruction and modular response analysis of intracellular transcriptional networks 13
Yuri Kogan: A population model for the response of patients with advanced melanoma to the treatment by immune checkpoint inhibitors, based on the real-world data 14
Yuri Kogan, Zvia Agur: Death of Patients with COVID-19 and the Role of Mathematical Models in deciphering its cause 15
Karolína Korvasová: Interpreting High-Frequency Oscillations in the Brain: Mechanisms and Meanings 16
Dawid Larysz: Application of Advanced Technologies in Preoperative Planning of Paediatric Neurosurgical and Craniofacial Procedures 17
Krzysztof Puszyński: Mathematical modeling and simulation – from a single cell to the human population 18
Pascoal Martins da Silva: Mathematical insights into the dynamics of Acute and Chronic Bacterial Infections 19
Nikolaos Sfakianakis: The Mathematical Hallmarks of Cancer: Yesterday, Today, and Tomorrow 20
Abstracts
Francesco Albanese, Marcello Edoardo Delitala, Giulia Chiari: A Multicompartment Phenotype-Structured Model of Tumor Response to Hypoxia and Radiotherapy 23
Krzysztof Bartoszek, Bayu Brahmantio, Joao Victor Muñoz-Durán, Jesualdo Fuentes-González, Jason Pienaar, P. David Polly: Short branch singularities in phylogenetic comparative methods 26
Agnieszka Bartłomiejczyk: Existence of wave solutions of a glioma model in a porous medium 24
Piotr Bartłomiejczyk: Why do computers like Lorenz maps? 25
Marek Bodnar, María Vela-Pérez, Aleksandra Tryniecka-Maciążek: Analyzing the impact of proliferation and treatment parameters on low-grade glioma growth using mathematical models 28
Marcin Choiński: A continuous-time SIS criss-cross model of co-infection in a heterogeneous population 29
Urszula Foryś: 2024–2025: several anniversaries important to me 31
Krzysztof Fujarewicz: Creation of spots on melting snow — a simple mathematical model 33
Beata Jackowska-Zduniak: Dynamics of Age-Related Degradation in the Human Cardiac Conduction System: A Cellular Automata Approach 34
Olga Karelkina: Integer programming framework for RNA secondary structure prediction 36
Mikhail Kolev: A mathematical model of the interactions between immune system and infectious agents 38
Alicja B. Kubik, Benjamin Ivorra, Alain Rapaport, Ángel M. Ramos: Identifiability and observability of some epidemiological systems: SIR vs. SIRS 39
Michael Kuhn, Dominika Machowska, Andrzej Nowakowski, Agnieszka Wiszniewska-Matyszkiel, Stefan Wrzaczek: Hospital competition with age-structured patients and congestion effects: a differential game approach 40
Vikas Kumar, Agnieszka Wiszniewska-Matyszkiel: How not to trim the branch you are sitting on: two models of a myopic marine economy with a realistic fish dynamics 41
Mirosław Lachowicz: Biomathematics — user guide 42
Krzysztof Łakomiec, Krzysztof Fujarewicz: Sensitivity analysis of the p53 signaling pathway model 43
Anna Marciniak-Czochra: Mechanochemical patterning: a new strain–morphogen PDE modeling framework 45
Bartłomiej Morawski, Urszula Foryś: Perceptual binary decision-making model with time delay and Hill function 46
Andrzej Nowakowski, Anita Krawczyk: Prediction of Alzheimer’s disease using Neural CDE and Optimal Control Tools 47
Emanuela Penitente, Bruno Buonomo: Modelling behavioural changes and vaccination in the transmission of respiratory viruses with co-infection 48
Zbigniew Peradzyński: On instability of prey-predator system 50
Krzysztof Psiuk-Maksymowicz: Mathematical modeling of the corrosion process of biodegradable magnesium alloy implants 51
Alesandra Puchalska: Pangraphs as models of higher-order interactions 52
Joanna Rencławowicz: Two-strain dengue model with a constant recruitment rate 54
Sebastian Sakowski, Tomasz Popławski: Programmable biomolecular computing based on CRISPR-CAS: concepts, computational perspectives, and potential applications 55
Justyna Signerska-Rynkowska: Dynamic threshold curves and response precision in forced excitable systems 57
Akhil Kumar Srivastav, Nico Stollenwerk, Maíra Aguiar: Impact of age-structure dependent control during the first two years of COVID-19 pandemic in the Basque country 58
Robert Stańczy: Kolmogorov generalized predator-prey models 59
Magdalena Szafrańska-Łęczycka, Urszula Foryś: Mathematical model of CAR-T cell therapy for glioblastoma with the logistic cancer growth with time delay 60
Zuzanna Szymańska, Mirosław Lachowicz, Nikolaos Sfakianakis, Mark A.J. Chaplain: Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation 62
Radosław Wieczorek: A hybrid stochastic model of retinal angiogenesis 63
Artur Wyciślok, Jarosław Śmieja: Feedback-feedforward control in EMT signalling pathway model 64
Dariusz Wrzosek: Around Lotka-Volterra models with diffusion and taxis 67
Mariusz Ziółko, Ewa Stogowska, Irina Kowalska, Karol Kamiński, Marcin Kondraciuk, Rafał Rzepka, Bartosz Ziółko: Voice Frequency Analysis in PCOS 69
Plakat XXX KKZMBM
Plakat XXX KKZMBM
Scientific Committee

prof. dr hab. inż. Mariusz Ziółko — honorary chair

prof. dr hab. Urszula Foryś — chair

prof. dr hab. Jacek Banasiak

dr Agnieszka Bartłomiejczyk

prof. dr hab. Wojciech Bartoszek

prof. dr hab. Adam Bobrowski

dr hab. Marek Bodnar

dr hab. Piotr Boguś

dr hab. Antoni Leon Dawidowicz

dr hab. Krzysztof Fujarewicz

dr hab. Tadeusz Kosztołowicz

prof. dr. hab. Mirosław Lachowicz

prof. Urszula Ledzewicz

dr hab. Tomasz Lipniacki

prof. dr hab. Kazimierz Madaliński

prof. dr hab. Danuta Makowiec

dr hab. Anna Marcinak-Czochra

prof. dr hab. Zbigniew Peradzyński

dr hab. Monika Joanna Piotrowska

dr hab. Jan Poleszczuk

dr hab. Krzysztof Puszyński

prof. dr hab. Ryszard Rudnicki

dr hab. Jarosław Śmieja

prof. dr hab. Andrzej Świerniak

prof. dr hab. Janusz Uchmański

dr hab. Jacek Waniewski

Organizers

University of Warmia and Mazury

University of Warsaw

Organizing Committee

Mariusz Bodzioch — chair

Urszula Foryś

Marek Bodnar

Monika J. Piotrowska

Magdalena Szafrańska-Łęczycka