Manabu MachidaLecturer Institute for Medical Photonics Research Hamamatsu University School of Medicine JST PRESTO researcher
Address:
1-20-1 Handayama, Higashi-ku, Hamamatsu,
Inverse problems, Wave propagation in random media
Ph.D., The University of Tokyo |
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Teaching
Department of Life Science and Medical Bioscience, Waseda University: Calculus
| 2022 | 数学Ｂ１（微分積分） 生医 | 微分積分学の基本とその応用 |
Doctoral course (Cooperative Major in Medical Photonics): Light propagation in biological tissue
| Spring 2021 | メディカル生体情報処理学 (1st&2nd lectures) | 生体内光伝播 |
Some past teaching materials including lecture notes can be found below.
- 数学特別講義（応用数学Ｉ）偏微分方程式の逆問題 (Inverse problems for partial differential equations), Department of Mathematics, Kyoto University (Fall 2020)
- Numerical methods (University of Michigan, Math 471 course page)
- Partial differential equations (University of Michigan, Math 454 course page)
- Linear algebra (University of Michigan, Math 417 course page)
- Lecture note on Case's method in linear transport theory (pdf)
- Lecture note on inverse problems by Carleman estimates (pdf)
- Optics and Inverse Problems: Optical Tomography (Japanese), 日本物理学会誌 (membership journal of the Physical Society of Japan) 72:10, 712–716, October 2017.
- note: rotated boiled egg (Japanese), May 2002.
Recent Papers
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(arXiv:2203.12327)
M. Machida,
Analytical discrete ordinates for the three-dimensional radiative radiative equation in the half space,
submitted. -
(arXiv:2105.12398)
M. Machida and K. Das,
Three-dimensional analytical discrete-ordinates method for the radiative transport equation,
to appear in Waves in Random and Complex Media.
doi: 10.1080/17455030.2022.2049924 -
(arXiv:2201.08651)
M. Machida,
The inverse Rytov series for diffuse optical tomography,
submitted. -
(arXiv:1907.00719)
J. Eom, M. Machida, G. Nakamura, G. Nishimura, and C. Sun,
Expression of the peak time for time-domain boundary measurements of diffuse light,
submitted. -
(arXiv:2107.09799)
T. Mimura, Y. Jiang, N. Todoroki, and M. Machida,
Shape-constrained reconstruction in diffuse optical tomography by simulated annealing,
submitted. -
T. Mimura, M. Machida, S. Okawa, H. Kawaguchi, Y. Tanikawa, and Y. Hoshi,
Imaging the human whole thyroid using three-dimensional diffuse optical tomography,
submitted. -
(arXiv:2009.04277)
M. Machida and M. Yamamoto,
Global Lipschitz stability for inverse problems for radiative transport equations,
submitted. -
A. Capart, S. Ikegaya, E. Okada, M. Machida, Y. Hoshi,
Experimental tests of indicators for the degree of validness of the diffusion approximation,
Journal of Physics Communications 5:2, 025012, February 2021.
doi: 10.1088/2399-6528/abe4e1 -
(arXiv:2005.11946)
K. Amagai, Y. Hatano, and M. Machida,
Linear transport in porous media,
Journal of Computational and Theoretical Transport 50:5, 377–389, 2021.
doi: 10.1080/23324309.2020.1842453 -
(arXiv:1304.5207)
M. Machida,
Chandrasekhar polynomials - A brief review,
RIMS Kokyuroku 2174 88–92, February 2021. -
(arXiv:1912.11375)
Y. Jiang, M. Machida, and N. Todoroki,
Diffuse optical tomography by simulated annealing via a spin Hamiltonian,
Journal of the Optical Society of America A 38:7, 1032–1040, June 2021.
doi: 10.1364/JOSAA.421219 -
J. J. Liu, M. Machida, G. Nakamura, G. Nishimura, C. L. Sun,
On fluorescence imaging: diffusion equation model and recovery of absorption coefficient of fluorophores,
Science China Mathematics 65, 1179–1198, June 2022.
doi: 10.1007/s11425-020-1731-y -
M. Machida, A. Kawamoto, Y. Tanikawa, and Y. Hoshi,
submitted. -
(arXiv:1608.07914)
A. Kawamoto and M. Machida,
Global Lipschitz stability for a fractional inverse transport problem by Carleman estimates,
Applicable Analysis 100:4, 752–771, February 2021.
doi: 10.1080/00036811.2019.1620931
Recent Talks
- [invited] 偏微分方程式の逆問題の逆級数による再構成法, 岡山応用数学セミナー, Okayama Univ Sci & Okayama Univ, June 3, 2022.
- [invited] Diffuse optical tomography with a simulated annealing Monte Carlo algorithm, The 10th International Conference Inverse Problems: Modeling and Simulation, Malta, May 23, 2022.
- 多孔質媒体中の輸送の支配方程式としての輻射輸送方程式, JSIAM 第18回 研究部会連合発表会, 九州大学, March 8, 2022 (Zoom).
- [invited] Direct and iterative reconstruction methods in optical tomography, Practical inverse problems and their prospects, Institute of Mathematics for Industry, Kyushu University, March 4, 2022 (Zoom).
- [invited] Diffuse optical tomography using simulated annealing, 逆問題における理論と実用, RIMS, Kyoto University, Kyoto, January 7, 2022 (Zoom).
- [invited] Optical tomography and biophysics, Annual Meeting of the Biophysical Society of Japan, Sendai International Center, Miyagi, November 25, 2021 (Zoom).
- [invited] Inverse problems with strong scattering: Optical tomography, Optics & Photonics Japan 2021（日本光学会年次学術講演会）, National Olympics Memorial Youth Center, Tokyo, October 28, 2021 (Zoom).
- [invited] 光トモグラフィーを通じた医学と理学の交流, 静岡大学理学部x浜松医科大学 研究情報交換会, September 14, 2021 (Zoom).
- [invited] 逆級数を用いた逆問題解法による光トモグラフィー, 数理情報学談話会, Department of Mathematical Informatics, The University of Tokyo, Tokyo, June 21, 2021 (Zoom).
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Biography: I was a postdoctoral researcher at Department of Bioengineering, University of Pennsylvania and a term assistant professor at Department of Mathematics, University of Michigan. After briefly staying at Department of Mathematical Sciences, The University of Tokyo, I arrived at Hamamatsu.
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[Hamamatsu, Japan]
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