Perelman's entropy on ancient Ricci flows
In [33], the second author proved Perelman's assertion, namely, for an ancient Ricci flow
with bounded and nonnegative curvature operator, bounded entropy is equivalent to …
with bounded and nonnegative curvature operator, bounded entropy is equivalent to …
On four-dimensional steady gradient Ricci solitons that dimension reduce
In this paper, we will study the asymptotic geometry of 4-dimensional steady gradient Ricci
solitons under the condition that they dimension reduce to 3-manifolds. We will show that …
solitons under the condition that they dimension reduce to 3-manifolds. We will show that …
Functional atlas of the awake rat brain: A neuroimaging study of rat brain specialization and integration
Connectivity-based parcellation approaches present an innovative method to segregate the
brain into functionally specialized regions. These approaches have significantly advanced …
brain into functionally specialized regions. These approaches have significantly advanced …
On convergence properties of implicit self-paced objective
Self-paced learning (SPL) is a new methodology that simulates the learning principle of
humans/animals to start learning easier aspects of a learning task, and then gradually take more …
humans/animals to start learning easier aspects of a learning task, and then gradually take more …
A consensus protocol for functional connectivity analysis in the rat brain
Task-free functional connectivity in animal models provides an experimental framework to
examine connectivity phenomena under controlled conditions and allows for comparisons …
examine connectivity phenomena under controlled conditions and allows for comparisons …
Development of brain-wide connectivity architecture in awake rats
Childhood and adolescence are both critical developmental periods, evidenced by complex
neurophysiological changes the brain undergoes and high occurrence rates of …
neurophysiological changes the brain undergoes and high occurrence rates of …
Brain-wide connectivity architecture: developmental aspects
A full understanding of brain development requires not only the knowledge of development-related
cellular-level changes and neural processing of individual brain regions but also …
cellular-level changes and neural processing of individual brain regions but also …
Suppressing anterior cingulate cortex modulates default mode network and behavior in awake rats
The default mode network (DMN) is a principal brain network in the mammalian brain.
Although the DMN in humans has been extensively studied with respect to network structure, …
Although the DMN in humans has been extensively studied with respect to network structure, …
[HTML][HTML] Brain network reorganization after targeted attack at a hub region
The architecture of brain networks has been extensively studied in multiple species. However,
exactly how the brain network reconfigures when a local region, particularly a hub region, …
exactly how the brain network reconfigures when a local region, particularly a hub region, …
[HTML][HTML] Gaining insight into the neural basis of resting-state fMRI signal
The blood oxygenation level-dependent (BOLD)-based resting-state functional magnetic
resonance imaging (rsfMRI) has been widely used as a non-invasive tool to map brain-wide …
resonance imaging (rsfMRI) has been widely used as a non-invasive tool to map brain-wide …