Organizers

prof. dr hab. Urszula Foryś

Information

Wednesdays, 2:15 p.m. , room: 5070

Research fields

Biomathematics

List of talks

Oct. 14, 2026, 2:15 p.m.
Jurij Kozicki (UMCS w Lublinie)
A stochastic evolution of a branching model of a cell colony
An individual-based model of a cell colony is proposed. The model accounts for a randomly timed cell cycle and branching at its end, as well as random cell death. Its stochastic (Markov) evolution is described …
June 10, 2026, 2:15 p.m.
Bartłomiej Morawski (Szkoła doktorska nauk ścisłych i przyrodniczych UW)
Possibilities for including alpha oscillations in Wang’s model of decision-making
Wang’s model of decision-making aims to reproduce the neuronal dynamics of a two‑choice task with noisy inputs. I will briefly present the model together with its biophysical basis and main features. I will also describe …
May 27, 2026, 2:45 p.m.
Agnieszka Bartłomiejczyk (Politechnika Gdańska)
Mathematical modeling of low-grade glioma growth: linear vs nonlinear diffusion
The talk is devoted to a comparative analysis of mathematical models describing the growth dynamics of low-grade gliomas (LGG). We compare classical models based on linear diffusion with more advanced approaches incorporating nonlinear diffusion, which …
May 20, 2026, 2:15 p.m.
Olajide Olaoye (University of L'Aquila, Italy, and Silesian University of Technology, Poland)
MATHEMATICAL MODEL OF A CANCER CELL WITH CHEMOTHERAPY
Cancer is a leading cause of death worldwide, characterised by uncontrolled cell growth and invasion. This study investigates how chemotherapy dose adjustment can serve as a control strategy for reducing tumour cell populations while accounting …
May 13, 2026, 2:15 p.m.
Zakirullah (School of Mathematical Sciences, University of Electronic Science and Technology of China)
Fractional-Order Compartmental Models: Stability, Optimal Control, and Neural Network Validation — with a Proposed Extension to Cancer Immunotherapy
In this talk, I present my recent work on mathematical modelling of infectious disease dynamics using fractional-order compartmental models with Caputo, Caputo–Fabrizio, and Atangana–Baleanu–Caputo operators. The models are analyzed for existence and uniqueness, positivity and …
April 29, 2026, 2:15 p.m.
Joanna Rencławowicz (WAT)
Co-infection model of airborne disease with two-strain dengue
In this talk we propose a model describing the co-infection spread of airborne disease and dengue. We introduce an unusual approach that combines airborne disease with a relatively deep insight into dengue dynamics. We consider …
April 15, 2026, 2:15 p.m.
Magdalena Szafrańska-Łęczycka (Szkoła doktorska nauk ścisłych i przyrodniczych UW)
Time Delay in a Mathematical Model of Epithelial--Mesenchymal Transitions and Implications for Cancer Treatment
In this presentation, we investigate the role of time delay in regulating epithelial–mesenchymal transition (EMT) within the model proposed by Celià-Terrassa et al. (2018), with a particular emphasis on implications for cancer therapy. Temporal effects …
March 25, 2026, 2:15 p.m.
Tehreem Fatima
Essential criteria for proportional fractional generalized Hukuhara differentiability for Goursat problems with application in MHD couple stress fluid flowing through a channel embedded in a porous medium
This work investigates generalized proportional fractional Caputo-type derivatives under generalized Hukuhara differentiability for Goursat problems. Two distinct types of proportional fractional gH-differentiability are analyzed, and existence and uniqueness results are established using fixed-point theory. The …
March 18, 2026, 2:15 p.m.
Robert Skiba (UMK Toruń)
Bifurkacje homokliniczne w nieautonomicznych równaniach różniczkowych
March 11, 2026, 2:15 p.m.
Tehreem Fatima (PhD candidate)
Optimal Vaccination Model of Airborne Infection Under Variable Humidity and Demographic Heterogeneity for Hybrid Fractional Operator Technique
This presentation introduces a fractional-order age-structured influenza model incorporating undocumented infections, vaccination dynamics, and atmospheric humidity effects. The system is formulated using the modified Atangana–Baleanu–Caputo fractional difference operator to capture memory effects in disease transmission. …
March 4, 2026, 2:15 p.m.
Mateusz Wiliński (Instytut Badawczy IDEAS)
Dynamic Message Passing and its Applications to Spreading Processes on Networks
Spreading models are routinely used to generate predictions for a plethora of diffusion processes on networks, whereby infectious diseases, opinions, or failures propagate in natural, social, and technological systems. In my talk I will describe …
Feb. 25, 2026, 2:15 p.m.
Emanuela Penitente (University of Naples Federico II)
Global stability and uniform persistence in an SVEIR model with saturating fomite-mediated transmission
In this talk, I will consider the recently developed SVEIR (Susceptible–Vaccinated–Exposed–Infected–Recovered) epidemic model proposed by G¨okc¸e and coauthors [1], which describes the transmission of a vaccine-preventable disease through two routes: direct host-to-host transmission and indirect …
Jan. 7, 2026, 2:15 p.m.
Marek Bodnar (MIM)
Central Manifold for ordinary differential equations
The Centre Manifold Theorem provides a powerful framework for analysing dynamical systems with equilibria for which linearisation is inconclusive due to the presence of eigenvalues with zero real parts. By reducing the dynamics to an …
Dec. 10, 2025, 2:15 p.m.
Magdalena Szafrańska-Łęczycka (Szkoła Doktorska Nauk Scisłych i przyrodniczych UW)
Dynamics of EMT/MET transitions in a mathematical model
Epithelial–mesenchymal transition (EMT) and its reverse process (MET) play a central role in cancer progression by enhancing tumor cell invasiveness and metastatic potential. Following the framework proposed by Celià-Terrassa et al. (2018), we investigate a …
Dec. 3, 2025, 2:15 p.m.
Agata Lonc (Szkoła doktorska nauk ścisłych i przyrodniczych UW)
Modelling pathogen spread in a hospital network
In this talk I will present a mathematical framework for modelling pathogen spread across a network of interconnected hospitals. The problem is formulated using two different approaches: an ordinary differential equation model which describes continuous …