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Explore self-organized criticality in hierarchical modular networks, focusing on Galves-Löcherbach neurons and their implications for complex systems.
Explore statistical methods for assessing brain region interactions using multi-electrode recordings, enhancing understanding of neural connectivity and communication.
Explore marked point process modeling and estimation techniques for analyzing neural data, focusing on advanced statistical approaches in neuroscience research.
Explore techniques for inferring monosynaptic connections from neuronal spike train cross-correlograms, enhancing understanding of neural network structures.
Explore EEG signal analysis to uncover probabilistic structures in auditory stimulus sequences, enhancing understanding of brain responses to complex sound patterns.
Explore mathematical models of electroporation, focusing on medical data validation. Learn to evaluate treatments using numerical simulations and data assimilation strategies.
Explore a mathematical model of immune cell-tumor interactions using PDEs, examining growth control, equilibrium states, and potential applications in immunotherapy design.
Explore the reduction of a 2D continuum model for cell motility to an active curve dynamics, focusing on lamellipodium mechanics and actin network behavior.
Explore the transition between fractional and normal diffusion in kinetic models, examining mathematical principles and applications in complex systems.
Explore how varying turning rates in kinetic transport equations model cell movement in heterogeneous environments, leading to persistent migration and enhanced diffusion.
Explore how fluid flows and rheotaxis affect group formation in cells and animals, revealing optimal strategies for aggregation in dynamic environments.
Explore morpho-elasticity in thin biological structures, focusing on stem cell cysts and drosophila wing development through finite-elasticity and growth models.
Explore cell-based modeling connecting single-cell mechanics to tissue-level nematic and hydrodynamic properties, examining instabilities, flows, and defects in active matter systems.
Explore kinetic modeling of myxobacteria colonies, examining cell-cell interactions and emergent behaviors through Boltzmann-type equations, mathematical analysis, and numerical simulations.
Explore nonlocal Cahn-Hilliard-Hele-Shaw systems in fluid dynamics, focusing on well-posedness, regularity, and comparisons with similar models. Gain insights into applications in porous media and tumor growth modeling.
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