SelectedWorks - Zhan Chen

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Selected Works of Zhan Chen

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Zhan Chen is an Associate Professor in the Department of Mathematical Science at Georgia Southern University. He joined Georgia Southern in 2014.

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About Zhan Chen

Zhan Chen is an Associate Professor in the Department of Mathematical Science at Georgia Southern University. He joined Georgia Southern in 2014.

AP Patterning in the Drosophila Wing Disc I: A Basic ...

Journal of Mathematical Biosciences (2019)

Zhan Chen and Yuting Zou

The wing imaginal disc of Drosophila is one of the commonly used model systems for the studies of patterning, growth, ...

The Formation of Thickveins (Tkv) Gradient in Drosophila Wing Disc ...

Journal of Theoretical Biology (2019)

The development of the wing imaginal disc (wing disc) is commonly adopted for the studies of patterning and growth which ...

A Multiscale Model for Heterogeneous Tumor Spheroid in Vitro

Mathematical Biosciences and Engineering (2018)

Zhan Chen and Yuting Zou

In this paper, a novel multiscale method is proposed for the study of heterogeneous tumor spheroid growth in vitro. The ...

Minimization and Eulerian Formulation of Differential Geometry Based Nonpolar Multiscale ...

Molecular Based Mathematical Biology (2016)

In this work, the existence of a global minimizer for the previous Lagrangian formulation of nonpolar solvation model proposed in ...

Role of Dispersion Attraction in Differential Geometry Based Nonpolar Solvation ...

Molecular Based Mathematical Biology (2015)

Differential geometry (DG) based solvation models have shown their great success in solvation analysis by avoiding the use of ad ...

Multiscale Geometric Modeling of Macromolecules I: Cartesian Representation

Journal of Computational Physics (2014)

Kelin Xia, Xin Feng, Zhan Chen, Yiying Tong, et al.

This paper focuses on the geometric modeling and computational algorithm development of biomolecular structures from two data sources: Protein Data ...

Multiscale Geometric Modeling of Macromolecules II: Lagrangian Representation

Journal of Computational Chemistry (2013)

Xin Feng, Kelin Xia, Zhan Chen, Yiying Tong, et al.

Geometric modeling of biomolecules plays an essential role in the conceptualization of biolmolecular structure, function, dynamics, and transport. Qualitatively, geometric ...

Parameterization of a Geometric Flow Implicit Solvation Model

Journal of Computational Chemistry (2013)

Dennis G. Thomas, Jaehun Chun, Zhan Chen, Guo-Wei Wei, et al.

Implicit solvent models are popular for their high computational efficiency and simplicity over explicit solvent models and are extensively used ...

Variational Multiscale Models for Charge Transport

SIAM Review (2012)

Guo-Wei Wei, Qiong Zheng, Zhan Chen and Kelin Xia

This work presents a few variational multiscale models for charge transport in complex physical, chemical, and biological systems and engineering ...

Variational Approach for Nonpolar Solvation Analysis

The Journal of Chemical Physics (2012)

Zhan Chen, Shan Zhao, Jaehun Chun, Dennis G. Thomas, et al.

Solvation analysis is one of the most important tasks in chemical and biological modeling. Implicit solventmodels are some of the ...

Quantum Dynamics in Continuum for Proton Transport II: Variational Solvent-Solute ...

International Journal for Numerical Methods in Biomedical Engineering (2012)

Duan Chen, Zhan Chen and Guo-Wei Wei

Proton transport plays an important role in biological energy transduction and sensory systems. Therefore, it has attracted much attention in ...

Differential Geometry Based Solvation Model II: Lagrangian Formulation

Journal of Mathematical Biology (2011)

Zhan Chen, Nathan A. Baker and Guo-Wei Wei

Solvation is an elementary process in nature and is of paramount importance to more sophisticated chemical, biological and biomolecular processes. ...

Differential Geometry Based Solvation Model III: Quantum Formulation

The Journal of Chemical Physics (2011)

Zhan Chen and Guo-Wei Wei

Solvation is of fundamental importance to biomolecular systems. Implicit solventmodels, particularly those based on the Poisson-Boltzmann equation for electrostaticanalysis, are ...

Contribution to Book

Multiscale Models for Nano-Bio Systems

Proceedings of CMBE: 2nd International Conference on Computational & Mathematical Biomedical Engineering (2011)

Guo-Wei Wei and Zhan Chen

We propose a differential geometry based multiscale paradigm for the description and analysis of aqueous chemical, biological systems, such as ...

MIBPB: A Software Package for Electrostatic Analysis

Journal of Computational Chemistry (2011)

Duan Chen, Zhan Chen, Changjun Chen, Weihua Geng, et al.

The Poisson–Boltzmann equation (PBE) is an established model for the electrostatic analysis of biomolecules. The development of advanced computational techniques ...

Differential Geometry Based Solvation Model I: Eulerian Formulation

Journal of Computational Physics (2010)

Zhan Chen, Nathan A. Baker and Guo-Wei Wei

This paper presents a differential geometry based model for the analysis and computation of the equilibrium property of solvation. Differential ...

Geometric and Potential Driving Formation and Evolution of Biomolecular Surfaces

Journal of Mathematical Biology (2009)

Peter W. Bates, Zhan Chen, Yuhui Sun, Guo-Wei Wei, et al.

This paper presents new geometrical flow equations for the theoretical modeling of biomolecular surfaces in the context of multiscale implicit ...

Continuous Dependence on the Initial-Time Geometry for a Parabolic Equation ...

Northeastern Mathematical Journal (2005)

Zhan Chen and Zhong Tan

In this paper, we derive the continuous dependence on the initial-time geometry for the solution of a parabolic equation from ...

Continuous Dependence on the Initial-Time Geometry for Weak Solutions of ...

Journal of Xiamen University (Natural Science) (2004)

Zhan Chen and Zhong Tan

研究了从非牛顿流体力学中提出的一类前向P-Laplace发展方程的不适定性问题的弱解对初始时刻几何的连续依赖性,导出了一个仅依赖初始数据的显式的连续依赖性的格式.

Invited speaker, NSF-CBMS Conference 2019

NSF-CBMS Conference: Mathematical Molecular Biosciences and Biophysics (2019)

Georgia Southern faculty member Prof. Zhan Chen was an invited speaker at NSF-CBMS Conference: Mathematical Molecular Biosciences and Biophysics

PDE Based Nonpolar Multiscale Solvation Modeling, Analysis and Computation

38th Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE) (2018)

Solvation analysis is one of the most important tasks in chemical and biological modeling. Implicit solvent models are some of ...

Multiscale Modeling in Biomolecular Solvation and Tumor Growth

Applied Math and Computing Research Colloquium, Georgia Southern University (2018)

This presentation was given at the Applied Math and Computing Research Colloquium, Georgia Southern University.

A Mulitscale Model Heterogeneous Tumor Spheroid in Vitro

University of South Carolina, Department of Mathematics (2017)

This presentation was given at the University of South Carolina, Department of Mathematics.

A Mulitscale Model Heterogeneous Tumor Spheroid in Vitro

Department of Mathematical Sciences, Georgia Southern University (2017)

This presentation was given at the Department of Mathematical Sciences, Georgia Southern University.

Molecular Bioscience and Biophysics-Multiscale Modeling of Solvation - Part II of ...

SIAM Conference on the Life Sciences (LS16) (2016)

Zhan Chen and Jaydeep P. Bardhan

The understanding of solvation is an essential prerequisite for the quantitative description and analysis of biomolecular systems because solvation is ...