84 citations
11 papers
Analysis of a Mathematical Model for Fluid Transport in Poroelastic Materials in 2D Space
Roman Cherniha, Vasyl' Davydovych, Joanna Stachowska-Pietka +1
A mathematical model for the poroelastic materials (PEM) with the variable volume is developed in multidimensional case. Governing equations of the model are constructed using the…
A Mathematical Model for Two Solutes Transport in a Poroelastic Material and Its Applications
Roman Cherniha, Joanna Stachowska-Pietka, Jacek Waniewski
Using well-known mathematical foundations of the elasticity theory, a mathematical model for two solutes transport in a poroelastic material (soft tissue is a typical example) is s…
Deciphering neural circuits for Caenorhabditis elegans behavior by computations and perturbations to genome and connectome
Jan Karbowski
{\it Caenorhabditis elegans} nematode worms are the only animals with the known detailed neural connectivity diagram, well characterized genomics, and relatively simple quantifiabl…
Metabolic constraints on synaptic learning and memory
Jan Karbowski
Dendritic spines, the carriers of long-term memory, occupy a small fraction of cortical space, and yet they are the major consumers of brain metabolic energy. What fraction of this…
A mechanism of synaptic clock underlying subjective time perception
Bartosz Jura
Temporal resolution of visual information processing is thought to be an important factor in predator-prey interactions, shaped in the course of evolution by animals' ecology. Here…
What can a mathematician do in neuroscience?
Jan Karbowski
Mammalian brain is one of the most complex objects in the known universe, as it governs every aspect of animal's and human behavior. It is fair to say that we have a very limited k…