100 citations · 290 across the 29 of their papers we have counts for
30 papers
A Thermodynamically Consistent Model for Multicomponent Vesicles
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
We develop a thermodynamically consistent diffuse-interface model for multicomponent membranes. The proposed model is derived from a coupled free energy functional that incorporate…
Exponential Time Differencing Schemes for a Phase-Field Model of Multicomponent Membranes
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
In this paper, we develop and analyze exponential time differencing (ETD) schemes for a phase-field model of multicomponent membranes proposed in our previous work \cite{luo2025oht…
RAFT-UP: Robust Alignment for Spatial Transcriptomics with Explicit Control of Spatial Distortion
Yaqi Wu, Jingfeng Wang, Xin Maizie Zhou +2
Spatial transcriptomics (ST) profiles gene expression across a tissue section while preserving the spatial coordinates. Because current ST technologies typically profile two-dimens…
Synchronization of Unbalanced Dynamical Optimal Transport across Multiple Spaces
Zixuan Cang, Jingfeng Wang, Xiaoqi Wei +1
Many biological systems are observed through heterogeneous modalities, requiring transport models that couple dynamics across spaces while allowing mass variation. To address this…
Ohta-Kawasaki Model Reveals Patterns on Multicomponent Vesicles
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
We present a new mechanochemical modeling framework to explore the shape deformation and pattern formation in multicomponent vesicle membranes. In this framework, the shape of the…
OTMol: Robust Molecular Structure Comparison via Optimal Transport
Xiaoqi Wei, Xuhang Dai, Yaqi Wu +3
Root-mean-square deviation (RMSD) is widely used to assess structural similarity in systems ranging from flexible ligand conformers to complex molecular cluster configurations. Des…
Double Fourier Sphere Methods with Low Rank Approximation for Block Copolymer Systems on Sphere
Wangbo Luo, Yanxiang Zhao
We introduce spectral methods for the Ohta-Kawasaki (OK) and Nakazawa-Ohta (NO) models on a spherical domain, examining their coarsening dynamics and equilibrium pattern formations…
Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk
Wangbo Luo, Yanxiang Zhao
In this paper, we investigate ultraspherical spectral method for the Ohta-Kawasaki (OK) and Nakazawa-Ohta (NO) models in the disk domain, representing diblock and triblock copolyme…
Synchronized Optimal Transport for Joint Modeling of Dynamics Across Multiple Spaces
Zixuan Cang, Yanxiang Zhao
Optimal transport has been an essential tool for reconstructing dynamics from complex data. With the increasingly available multifaceted data, a system can often be characterized a…
Supervised Gromov-Wasserstein Optimal Transport
Zixuan Cang, Yaqi Wu, Yanxiang Zhao
We introduce the supervised Gromov-Wasserstein (sGW) optimal transport, an extension of Gromov-Wasserstein by incorporating potential infinity patterns in the cost tensor. sGW enab…
Asymptotically Compatible Schemes for Nonlocal Ohta Kawasaki Model
Wangbo Luo, Yanxiang Zhao
We study the asymptotical compatibility of the Fourier spectral method in multidimensional space for the Nonlocal Ohta-Kawasaka (NOK) model, which is proposed in our previous work.…
Phase Field Modeling of Dictyostelium Discoideum Chemotaxis
Yunsong Zhang, Herbert Levine, Yanxiang Zhao
A phase field approach is proposed to model the chemotaxis of Dictyostelium discoideum. In this framework, motion is controlled by active forces as determined by the Meinhardt mode…
Bifurcation Analysis Reveals Solution Structures of Phase Field Models
Xinyue Evelyn Zhao, Long-Qing Chen, Wenrui Hao +1
Phase field method is playing an increasingly important role in understanding and predicting morphological evolution in materials and biological systems. Here, we develop a new ana…
Numerical Approximations of the Allen-Cahn-Ohta-Kawasaki (ACOK) Equation with Modified Physics Informed Neural Networks (PINNs)
Jingjing Xu, Jia Zhao, Yanxiang Zhao
The physics informed neural networks (PINNs) has been widely utilized to numerically approximate PDE problems. While PINNs has achieved good results in producing solutions for many…
Supervised Optimal Transport
Zixuan Cang, Qing Nie, Yanxiang Zhao
Optimal Transport, a theory for optimal allocation of resources, is widely used in various fields such as astrophysics, machine learning, and imaging science. However, many applica…
Nonlocal Effect on a Generalized Ohta-Kawasaki Model
Wangbo Luo, Yanxiang Zhao
We propose a nonlocal Ohta-Kawasaki model to study the nonlocal effect on the pattern formation of some binary systems with general long-range interactions. While the nonlocal Ohta…
Analysis for Allen-Cahn-Ohta-Nakazawa Model in a Ternary System
Sookyung Joo, Xiang Xu, Yanxiang Zhao
In this paper we study the global well-posedness of the Allen-Cahn Ohta-Nakazawa model with two fixed nonlinear volume constraints. Utilizing the gradient flow structure of its fre…
Maximum Principle Preserving Schemes for Binary Systems with Long-range Interactions
Xiang Xu, Yanxiang Zhao
We study some maximum principle preserving and energy stable schemes for the Allen-Cahn-Ohta-Kawasaki model with fixed volume constraint. With the inclusion of a nonlinear term in…
Stable blow-up dynamics in the -critical and -supercritical generalized Hartree equation
Kai Yang, Svetlana Roudenko, Yanxiang Zhao
We study stable blow-up dynamics in the generalized Hartree equation with radial symmetry, a Schrödinger-type equation with a nonlocal, convolution-type nonlinearity: $iu_t+Δu +\le…
Energy stable semi-implicit schemes for Allen-Cahn-Ohta-Kawasaki Model in Binary System
Xiang Xu, Yanxiang Zhao
In this paper, we propose a first order energy stable linear semi-implicit method for solving the Allen-Cahn-Ohta-Kawasaki equation. By introducing a new nonlinear term in the Ohta…
Blow-up dynamics in the mass super-critical NLS equations
Kai Yang, Svetlana Roudenko, Yanxiang Zhao
We study stable blow-up dynamics in the -supercritical nonlinear Schrödinger equation in various dimensions. We first investigate the profile equation and extend the result of…
Cell Motility Dependence on Adhesive Wetting
Yuansheng Cao, Richa Karmakar, Elisabeth Ghabache +6
Adhesive cell-substrate interactions are crucial for cell motility and are responsible for the necessary traction that propels cells. These interactions can also change the shape o…
A New Phase-Field Approach to Variational Implicit Solvation of Charged Molecules with the Coulomb-Field Approximation
Yanxiang Zhao, Yanping Ma, Hui Sun +2
We construct a new phase-field model for the solvation of charged molecules with a variational implicit solvent. Our phase-field free-energy functional includes the surface energy,…
Bubble Assemblies in Ternary Systems with Long Range Interaction
Chong Wang, Xiaofeng Ren, Yanxiang Zhao
A nonlocal diffuse interface model is used to study bubble assemblies in ternary systems. As model parameters vary, a large number of morphological phases appear as stable stationa…