World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
14209
World Ranking
2120
National Ranking
897

Engineering and Technology

D-Index
39
Citations
16320
World Ranking
7492
National Ranking
2040

Michael Holst publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Michael Holst sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 142 publications — 34th percentile

34% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Michael Holst D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Michael Holst sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 39 D-Index — 41st percentile

41% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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