
Explore topological approaches in neuroscience, uncovering insights into brain structure and function through mathematical analysis.

Explore multi-scale modeling techniques for vesicular release in neuronal synapses, focusing on advanced computational approaches to understand synaptic transmission.

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 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 the transition between fractional and normal diffusion in kinetic models, examining mathematical principles and applications in complex systems.

Explore how fluid flows and rheotaxis affect group formation in cells and animals, revealing optimal strategies for aggregation in dynamic environments.

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.

Explore models of active matter systems, focusing on motility-induced phase separation in self-propelled particles and the resulting macroscopic PDEs.

Explore instabilities and geometry in growing epithelial tissues, focusing on key concepts and recent research findings in this fascinating field of biophysics.

Explore rheological models with delay and viscous friction in morphogenesis, analyzing stability and oscillations in embryonic tissues, particularly in Drosophila CNS development.

Explore mathematical modeling of tumor growth with convective effects, focusing on the incompressible limit and its connection to free-boundary problems.

Explore range dynamics of spatially structured populations, considering spatial propagation and evolutionary dynamics in heterogeneous environments.

Explore genetic composition in biparental populations using a Moran model. Analyze ancestral genome proportions and their convergence as population size increases.

Explore the evolutionary benefits of recombination in finite populations, focusing on analytical and simulation results for diploid organisms and the effects of inbreeding and transposable elements.

Explore the impact of seed dormancy on beneficial allele fixation and genomic signatures of selective sweeps in plant populations with overlapping generations.

Explore phenotypic adaptation in populations facing environmental changes through ancestral lineage analysis, using deterministic models and Markov processes to reveal evolutionary dynamics.

Explore polygenic local adaptation in subdivided populations, analyzing effects of linkage disequilibria and genetic drift on environmental adaptation and hybridization dynamics.