Manabu MachidaAssociate Professor Department of Informatics Faculty of Engineering Kindai University JST PRESTO researcher
Address:
1 Takaya-Umenobe, Higashi-Hiroshima,
Inverse problems, Wave propagation in random media, Optical tomography
Ph.D., The University of Tokyo, 2004 |
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IP@RIMS2023:
Inverse Problems, Medical Imaging, and Related Topics
(Registration by January 4, 2023)
Teaching
Multimedia, Web, Pattern recognition, etc.
Some past teaching materials including lecture notes can be found below.
- 数学Ｂ１（微分積分） 生医, Waseda University (2020-2022)
- メディカル生体情報処理学（第1-2回）「生体内光伝播」（光医工学共同専攻（静岡大学・浜松医科大学））
- 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)
- 生体ひかりイメージング 基礎と応用（§2.1）, December 2021.
- 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:2303.05220)
L. Xu, C. Zhang, S. Oyama, M. Machida, T. Kahyo, and M. Setou,
Perplexity for mass spectrometry imaging,
submitted. -
(arXiv:2303.01798)
A. Kawamoto, M. Machida, and M. Yamamoto,
Homogenization and Inverse Problems for Fractional Diffusion Equations,
submitted. -
L. Xu, K. Kikushima, S. Sato, A. Islam, T. Sato, S. Aramaki, C. Zhang, T. Sakamoto, F. Eto, Y. Takahashi, I. Yao, M. Machida, T. Kahyo, and M. Setou,
Spatial distribution of the Shannon entropy for mass spectrometry imaging,
PLoS ONE 18:4, e0283966, 2023.
doi: 10.1371/journal.pone.0283966 -
(arXiv:2208.07718)
M. Machida, K. Osada, and K. Kagawa,
The depth of the banana and the impulse stripe illumination for diffuse optical tomography,
submitted. -
H. Yamada, L. Xu, F. Eto, R. Takeichi, A. Islam, M. A. Mamun, C. Zhang, I. Yao, T. Sakamoto, S. Aramaki, K. Kikushima, T. Sato, Y. Takahashi, M. Machida, T. Kahyo, and M. Setou,
Changes of Mass Spectra Patterns on a Brain Tissue Section Revealed by Deep Learning with Imaging Mass Spectrometry Data,
Journal of the American Society for Mass Spectrometry 33:9, 1607–1614, 2022.
doi: 10.1021/jasms.2c00080
(press release [Japanese]) -
(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. -
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.
Recent Talks
- [invited] Linear Boltzmann equation for transport phenomena in porous media, 北大MMCセミナー, Hokkaido University, November 10, 2022.
- [invited, 特別講演] 逆級数を用いた偏微分方程式の逆問題解法, JSIAM 日本応用数理学会2022年度年会, 北海道大学, September 10, 2022.
- 医学のための数理科学研究, 第3回浜松医科大学学内研究交流会, 奥浜名湖, June 19, 2022.
- [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).
Software
EZ-RTE was upgraded [2022/12/23] → www.mmachida.com/ezrte/
Biography: While being an assistant professor at The University of Tokyo, I became a postdoctoral researcher at Department of Bioengineering, University of Pennsylvania. Then I went to Ann Arbor as a term assistant professor at Department of Mathematics, University of Michigan. After briefly staying at Department of Mathematical Sciences, The University of Tokyo, I went to Hamamatsu, and arrived at Kindai University.
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[Higashihiroshima, Japan]
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