World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
14209
World Ranking
2119
National Ranking
896

Engineering and Technology

D-Index
39
Citations
16320
World Ranking
7490
National Ranking
2039

Research.com Recognitions

  • 2016 - SIAM Fellow For contributions to computational biology, numerical relativity, and scientific computation.
  • 1999 - Hellman Fellow

Overview

Michael Holst is affiliated with the University of California, San Diego in the United States. Their research spans multiple fields including Mathematics, Biochemistry, Genetics and Molecular Biology, and Engineering. The main areas of study focus on applied mathematics, molecular biology, computational mechanics, biophysics, and mathematical physics.

Their notable research topics include:

  • Advanced Mathematical Physics Problems
  • Advanced Harmonic Analysis Research
  • Lipid Membrane Structure and Behavior
  • RNA Interference and Gene Delivery
  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Nonlinear Partial Differential Equations

Holst has published extensively in several scientific journals, with frequent publication venues as follows:

  • Biophysical Journal
  • arXiv (Cornell University)
  • PLoS Computational Biology
  • Arkiv för matematik
  • Bulletin of Mathematical Biology

Recent papers authored or co-authored by Michael Holst include:

  • 3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries, 2020, PLoS Computational Biology
  • Multiplication in Sobolev spaces, revisited, 2021, Arkiv för matematik
  • An Open-Source Mesh Generation Platform for Biophysical Modeling Using Realistic Cellular Geometries, 2020, Biophysical Journal
  • Stability Analysis of a Bulk-Surface Reaction Model for Membrane Protein Clustering, 2020, Bulletin of Mathematical Biology
  • Local sensitivity analysis of the "membrane shape equation" derived from the Helfrich energy, 2020, Mathematics and Mechanics of Solids

Frequent co-authors of Holst include:

  • Padmini Rangamani
  • Christopher T. Lee
  • A. Behzadan
  • Justin G. Laughlin
  • Martin W. Licht

Throughout their career, Michael Holst has been recognized with several awards including the Hellman Fellowship awarded in 1999. In 2016, they were named a SIAM Fellow for contributions to computational biology, numerical relativity, and scientific computation.

Best Publications

  • Electrostatics of nanosystems: Application to microtubules and the ribosome

    Nathan A. Baker;David Sept;Simpson Joseph;Michael J. Holst

  • Improvements to the APBS biomolecular solvation software suite.

    Elizabeth Jurrus;Dave Engel;Keith Star;Kyle Monson

  • Multigrid solution of the Poisson-Boltzmann equation

    Michael Holst;Faisal Saied

  • Adaptive multilevel finite element solution of the Poisson–Boltzmann equation I. Algorithms and examples

    Michael J. Holst;Nathan A. Baker;Feng Wang

  • Numerical solution of the nonlinear Poisson–Boltzmann equation: Developing more robust and efficient methods

    Michael J. Holst;Faisal Saied

  • Three-dimensional electron microscopy reveals new details of membrane systems for Ca2+ signaling in the heart.

    Takeharu Hayashi;Maryann E. Martone;Zeyun Yu;Andrea Thor

  • A New Paradigm for Parallel Adaptive Meshing Algorithms

    Randolph E. Bank;Michael Holst

  • Adaptive multilevel finite element solution of the Poisson–Boltzmann equation II. Refinement at solvent‐accessible surfaces in biomolecular systems

    N. Baker;M. Holst;F. Wang

  • The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation

    Long Chen;Long Chen;Michael J. Holst;Jinchao Xu

  • Poisson-Nernst-Planck equations for simulating biomolecular diffusion-reaction processes I: Finite element solutions

    Benzhuo Lu;Michael J. Holst;J. Andrew McCammon;Y. C. Zhou

  • Adaptive Numerical Treatment of Elliptic Systems on Manifolds

    Michael J. Holst

  • The adaptive multilevel finite element solution of the Poisson-Boltzmann equation on massively parallel computers

    N. A. Baker;D. Sept;M. J. Holst;J. A. McCammon

  • Treatment of electrostatic effects in proteins: multigrid-based Newton iterative method for solution of the full nonlinear Poisson-Boltzmann equation.

    Michael Holst;Richard E. Kozack;Faisal Saied;Shankar Subramaniam

  • Feature-preserving adaptive mesh generation for molecular shape modeling and simulation

    Zeyun Yu;Michael J. Holst;Yuhui Cheng;J.Andrew McCammon

  • Rough solutions of the Einstein constraints on closed manifolds without near-CMC conditions

    Michael Holst;Gabriel Nagy;Gantumur Tsogtgerel

  • Convergence and Optimality of Adaptive Mixed Finite Element Methods

    Long Chen;Michael J. Holst;Jinchao Xu

  • Efficient mesh optimization schemes based on Optimal Delaunay Triangulations

    Long Chen;Michael Holst

  • Electrodiffusion: a continuum modeling framework for biomolecular systems with realistic spatiotemporal resolution.

    Benzhuo Lu;Y. C. Zhou;Gary A. Huber;Stephen D. Bond

  • Modelling cardiac calcium sparks in a three-dimensional reconstruction of a calcium release unit

    Johan Hake;Johan Hake;Andrew G. Edwards;Zeyun Yu;Peter M. Kekenes-Huskey

  • Multilevel methods for the Poisson-Boltzmann equation

    Michael Jay Holst

  • RecentProgress in NumericalMethods forthePoisson- Boltzmann Equation in Biophysical Applications

    B. Z. Lu;Y. C. Zhou;M. J. Holst;J. A. McCammon

Frequent Co-Authors

J. Andrew McCammon
J. Andrew McCammon University of California, San Diego
Nathan A. Baker
Nathan A. Baker Pacific Northwest National Laboratory
Andrew D. McCulloch
Andrew D. McCulloch University of California, San Diego
Jinchao Xu
Jinchao Xu Pennsylvania State University
Randolph E. Bank
Randolph E. Bank University of California, San Diego
Yongjie Zhang
Yongjie Zhang Carnegie Mellon University
David J. Kriegman
David J. Kriegman University of California, San Diego
Ravi Ramamoorthi
Ravi Ramamoorthi University of California, San Diego
Chandrajit L. Bajaj
Chandrajit L. Bajaj The University of Texas at Austin
Linda M. Zangwill
Linda M. Zangwill University of California, San Diego

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