Mark H. Holmes - Publications

Affiliations: 
Rensselaer Polytechnic Institute, Troy, NY, United States 
Area:
Mathematics

25 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Holmes MH. Conservative numerical methods for nonlinear oscillators American Journal of Physics. 88: 60-69. DOI: 10.1119/10.0000295  0.368
2019 Woods M, Sailor W, Holmes M. Numerical solution of the electron transport equation in the upper atmosphere Journal of Computational Physics. 376: 129-144. DOI: 10.1016/J.Jcp.2018.09.028  0.375
2018 Fessel K, Holmes MH. A Model and Analysis for the Nonlinear Amplification of Waves in the Cochlea. Mathematical Biosciences. PMID 29382493 DOI: 10.1016/J.Mbs.2018.01.006  0.672
2014 Fessel K, Holmes MH. A model for the nonlinear mechanism responsible for cochlear amplification. Mathematical Biosciences and Engineering : Mbe. 11: 1357-73. PMID 25365605 DOI: 10.3934/Mbe.2014.11.1357  0.67
2002 Pavliotis GA, Holmes MH. A perturbation-based numerical method for solving a three-dimensional axisymmetric indentation problem Journal of Engineering Mathematics. 43: 1-17. DOI: 10.1023/A:1016545020247  0.641
1997 Haider MA, Holmes MH. A mathematical approximation for the solution of a static indentation test. Journal of Biomechanics. 30: 747-51. PMID 9239557 DOI: 10.1016/S0021-9290(97)00024-9  0.366
1995 Haider MA, Holmes MH. Indentation of a thin compressible elastic layer: Approximate analytic and numerical solutions for rigid flat indenters Journal of the Mechanics and Physics of Solids. 43: 1199-1219. DOI: 10.1016/0022-5096(95)00032-E  0.349
1992 Hou JS, Mow VC, Lai WM, Holmes MH. An analysis of the squeeze-film lubrication mechanism for articular cartilage. Journal of Biomechanics. 25: 247-59. PMID 1564060 DOI: 10.1016/0021-9290(92)90024-U  0.35
1992 Bell J, Holmes M. Model of the dynamics of receptor potential in a mechanoreceptor. Mathematical Biosciences. 110: 139-74. PMID 1498446 DOI: 10.1016/0025-5564(92)90034-T  0.312
1990 Holmes MH, Mow VC. The nonlinear characteristics of soft gels and hydrated connective tissues in ultrafiltration. Journal of Biomechanics. 23: 1145-56. PMID 2277049 DOI: 10.1016/0021-9290(90)90007-P  0.369
1990 Holmes MH, Bell J. A Model of a Sensory Mechanoreceptor Derived From Homogenization Siam Journal On Applied Mathematics. 50: 147-166. DOI: 10.1137/0150010  0.324
1989 Holmes MH, Bell J. A model for mechanotransduction in a Pacinian corpuscle The Journal of the Acoustical Society of America. 85: S30-S30. DOI: 10.1121/1.2026905  0.304
1988 Rabbitt RD, Holmes MH. Three-dimensional acoustic waves in the ear canal and their interaction with the tympanic membrane. The Journal of the Acoustical Society of America. 83: 1064-80. PMID 3356812 DOI: 10.1121/1.396051  0.35
1986 Holmes MH. Finite deformation of soft tissue: analysis of a mixture model in uni-axial compression. Journal of Biomechanical Engineering. 108: 372-81. PMID 3795885 DOI: 10.1115/1.3138633  0.332
1986 Rabbitt RD, Holmes MH. A fibrous dynamic continuum model of the tympanic membrane. The Journal of the Acoustical Society of America. 80: 1716-28. PMID 3794078 DOI: 10.1121/1.394284  0.374
1986 Bell J, Holmes MH. A nonlinear model for transduction in hair cells. Hearing Research. 21: 97-108. PMID 2422148 DOI: 10.1016/0378-5955(86)90032-8  0.35
1985 Holmes MH. A theoretical analysis for determining the nonlinear hydraulic permeability of a soft tissue from a permeation experiment Bulletin of Mathematical Biology. 47: 669-683. PMID 4084697 DOI: 10.1016/S0092-8240(85)90027-8  0.342
1985 Holmes MH, Lai WM, Mow VC. Singular perturbation analysis of the nonlinear, flow-dependent compressive stress relaxation behavior of articular cartilage. Journal of Biomechanical Engineering. 107: 206-18. PMID 4046561 DOI: 10.1115/1.3138545  0.347
1984 Holmes MH, Cole JD. Cochlear mechanics: analysis for a pure tone. The Journal of the Acoustical Society of America. 76: 767-78. PMID 6491049 DOI: 10.1121/1.391300  0.361
1984 Mow VC, Holmes MH, Lai WM. Fluid transport and mechanical properties of articular cartilage: a review. Journal of Biomechanics. 17: 377-94. PMID 6376512 DOI: 10.1016/0021-9290(84)90031-9  0.301
1984 Holmes MH, Hou JS, Mow VC. ENERGY DISSIPATION MECHANISM IN ARTICULAR CARTILAGE AT LOW FREQUENCIES Advances in Bioengineering. 41-42.  0.301
1982 Holmes MH. A mathematical model of the dynamics of the inner ear Journal of Fluid Mechanics. 116: 59-75. DOI: 10.1017/S0022112082000366  0.362
1981 Holmes MH. Study of the transient motion in the cochlea. The Journal of the Acoustical Society of America. 69: 751-9. PMID 7240555 DOI: 10.1121/1.385575  0.433
1980 Holmes MH. An analysis of a low-frequency model of the cochlea. The Journal of the Acoustical Society of America. 68: 482-8. PMID 7419808 DOI: 10.1121/1.384747  0.397
1979 Holmes MH. A spectral problem in hydroelasticity Journal of Differential Equations. 32: 388-397. DOI: 10.1016/0022-0396(79)90041-X  0.403
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