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Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

According to recently published research study in Canada Medical Association Journal, in 2024, the number of new cancer cases and deaths from cancer were expected to reach 247 100 and 88 100, respectively. A key driver of cancer formation, development and its metastasis are single cancer cells. Understanding the biochemical processes that drive their force generation and polarisation and their mechanical properties might aid our understanding of how single cancer cells evolve over time and how they aid the formation of primary and secondary tumours. Cell migration is essential for many biological processes; e.g. immune response, embryogenesis, and cancer metastasis. The aim of this 5-day workshop is to bring applied mathematicians, cellular, molecular and developmental biologists, biophysicists, biostatisticians, biomechanical engineers and biotechnologists to deliberate on a roadmap towards developing 2- and 3-D mechanobiochemical models (MBMs) for single and collective cell migration through non-isotropic environments. The ultimate goal is to develop biophysically- and mathematically-engineered artificial cells that can be easily interrogated and perturbed for medical, biomedical, cancer and drug-delivery research at low cost, while reducing the use of animals in experiments.

Angewandte Mathematik (allgem.),    Simulation

The International Conference on Mathematical Neuroscience (ICMNS) is the premier international forum dedicated to advancing the theoretical and mechanistic foundations of neuroscience through mathematical inquiry. Unlike broader scientific meetings that predominantly emphasize computational techniques (such as large-scale simulations, applied signal processing or data-driven analytics), ICMNS places rigorous mathematical reasoning at the center of its mission. Presentations typically address analytical properties of neuronal and network models, fundamental principles of neural coding, dynamical systems approaches to brain function, and derivations that link biophysical mechanisms to emergent neural phenomena.

Banff International Research Station for Mathematical Innovation and Discovery (BIRS)

The mathematical modeling of biological systems with partial differential equations has a long and successful history. Many results on species invasion or extinction, pattern formation and species interactions have been derived and used to better understand the biology around us. Applications cover a vast scale of sizes, from protein movement in the cell nucleus, to cell movement to tissue structure, organ structure, up to species interactions on the population level. Recently, a new model class arose that include finite distance interactions into the partial differential equation (PDE) framework. Non-local interactions relate to different sensing mechanisms, starting with sensing through sight and smell, to sensing through touch, cell-cell contact and cell protrusions to more abstract concepts such as learning and memory. In this workshop we aim to bring together established and young researchers to push the frontiers of research into non-local partial differential equations and their applications to biological problems.

Simulation,    Infinitesimalrechnung, Differentialgleichungen, Integralrechnung