33 citations · 179 across the 44 of their papers we have counts for
46 papers
Dimension-free Ergodicity of Path Integral Molecular Dynamics
Xuda Ye, Zhennan Zhou
The quantum thermal average plays a central role in describing the thermodynamic properties of a quantum system. Path integral molecular dynamics (PIMD) is a prevailing approach fo…
A unified Bayesian inversion approach for a class of tumor growth models with different pressure laws
Yu Feng, Liu Liu, Zhennan Zhou
In this paper, we use the Bayesian inversion approach to study the data assimilation problem for a family of tumor growth models described by porous-medium type equations. The mode…
A synchronization-capturing multi-scale solver to the noisy integrate-and-fire neuron networks
Ziyu Du, Yantong Xie, Zhennan Zhou
The noisy leaky integrate-and-fire (NLIF) model describes the voltage configurations of neuron networks with an interacting many-particles system at a microscopic level. When simul…
A voltage-conductance kinetic system from neuroscience: probabilistic reformulation and exponential ergodicity
Xu'an Dou, Fanhao Kong, Weijun Xu +1
The voltage-conductance kinetic equation for an ensemble of neurons has been studied by many scientists and mathematicians, while its rigorous analysis is still at a premature stag…
A spectral method for a Fokker-Planck equation in neuroscience with applications in neural networks with learning rules
Pei Zhang, Yanli Wang, Zhennan Zhou
In this work, we consider the Fokker-Planck equation of the Nonlinear Noisy Leaky Integrate-and-Fire (NNLIF) model for neuron networks. Due to the firing events of neurons at the m…
An infinite-times renewal equation
Xu'An Dou, Benoît Perthame, Chenjiayue Qi +2
In neuroscience, the time elapsed since the last discharge has been used to predict the probability of the next discharge. Such predictions can be improved taking into account the…