List of publications

By Google Scholar

Regular papers on international journals (all refereed)

1. Y. Marui, H. Kori:
   "Synchronization and its slow decay in noisy oscillators with simplicial interactions",
   Phys. Rev. E 111, 014223 (2025). [11 pages]
   DOI: https://doi.org/10.1103/PhysRevE.111.014223
   
2. Y. Kato, H. Kori:
   "Periodic forces combined with feedback induce quenching in a bistable oscillator",
   Chaos 34, 1013125 (2024). [15 pages]
   DOI: https://doi.org/10.1063/5.0221119
   
3. K. Muramatsu, H. Kori:
   "Bifurcation analysis of a two-neuron central pattern generator model for both oscillatory and convergent neuronal activities",
   Chaos 34, 093107 (2024). [21 pages]
   DOI: https://doi.org/10.1063/5.0220075
   
4. A. Ozawa, H. Kori:
   "Two Distinct Transitions in a Population of Coupled Oscillators with Turnover: Desynchronization and Stochastic Oscillation Quenching",
   Physical Review Letters 133, 047201 (2024). [7 pages]
   DOI: 10.1103/PhysRevLett.133.047201
   
5. H. Ishii, H. Kori:
   "Diffusive coupling facilitates and impedes noise-induced escape in interacting bistable elements",
   Scientific Reports 14, 11019 (2024) [14 pages].
   DOI: 10.1038/s41598-024-61058-7
   
6. Y. Kato, H. Kori:
   "Weakly nonlinear analysis on synchronization and oscillation quenching of coupled mechanical oscillators",
   Scientific Reports 14, 1461 (2024) [16 pages].
   DOI: 10.1038/s41598-024-51843-9
   
7. W. Su, Y. Izumida, H. Kori:
   "Transportation efficiency of hydrodynamically coupled spherical oscillators in low Reynolds number fluids",
   J. Physical Society of Japan 92 124003 (2023) [6 pages].
   DOI: 10.7566/JPSJ.92.124003
   
8. S. Yin, H. Kori, and Y. Izumida:
   "Synchronization approach to achieving maximum power and thermal efficiency for weakly coupled low-temperature-differential Stirling engines",
   Physical Review Research 5 043268 (2023) [9 pages].
   DOI: 10.1103/PhysRevResearch.5.043268
   
9. Y. Kato, H. Kori:
   "Synchronization and stability analysis of an exponentially diverging solution in a mathematical model of asymmetrically interacting agents",
   Chaos 33, 073133 (2023) [15 pages].
   DOI: 10.1063/5.0151174
   
10. A. Matsuki, H. Kori, R. Kobayashi
    "An extended Hilbert transform method for reconstructing the phase from an oscillatory signal",
    Scientific Reports 13, 3535 (2023) [16 pages]
    DOI: 10.1038/s41598-023-30405-5
    
11. M. Kato, H. Kori
    "Partial synchronization and community switching in phase-oscillator networks and its analysis based on a bidirectional, weighted chain of three oscillators",
    Physical Review E 107, 014210 (2023) [15 pages]
    DOI: 10.1103/PhysRevE.107.014210
    
12. P. Kundu, N.G. MacLaren, H. Kori, N. Masuda
    "Mean-field theory for double-well systems on degree-heterogeneous networks",
    Proceedings of the Royal Society A 479, 20220350 (2022) [15 pages]
    DOI: 10.1098/rspa.2022.0350
13. M. Matsuo, K. Seo, A. Taruno, Y. Mizoro, Y. Yamaguchi, M. Doi, R. Nakao, H. Kori, T. Abe, H. Ohmori, K. Tominaga, *H. Okamura
    "A light-induced small G-protein gem limits the circadian clock phase-shift magnitude by inhibiting voltage-dependent calcium channels",
    Cell Reports 39 110844 (2022) [15 pages]
    DOI: 10.1016/j.celrep.2022.110844
14. *R. Tönjes, H. Kori
    "Phase and frequency linear response theory for hyperbolic chaotic oscillators"
    Chaos 32 043124 (2022).
    DOI: 10.1063/5.006451910.1063/5.0064519
    (selected as Featured)
    
15. P. Kundu, H. Kori, *N. Masuda
    "Accuracy of a one-dimensional reduction of dynamical systems on networks",
    Physical Review E 105, 024305 (2021) [14 pages]
    DOI: 10.1103/PhysRevE.105.024305
    
16. *F. Mori, *H. Kori
    "Noninvasive inference methods for interaction and noise intensities of coupled oscillators using only spike time data",
    Proceedings of the National Academy of Sciences 119 , e2113620119 (2022) [5 pages]
    DOI: 10.1073/pnas.2113620119
    
17. *A. Ozawa and *H. Kori
    "Feedback-induced desynchronization and oscillation quenching in a population of globally coupled oscillators",
    Physical Review E 103, 062217 (2021) [22 pages]
    DOI: 10.1103/PhysRevE.103.062217
    
18. K. Hashimoto, K. Yamashita, K. Enoyoshi, X. Dahan, T. Takeuchi, *H. Kori, M. Gotoh:
    "The effects of coating culture dishes with collagen on fibroblast cell shape and swirling pattern formation",
    Journal of Biological Physics 46, 351–369 (2020)
    DOI: 10.1007/s10867-020-09556-3
    
19. Y. Katoh, *H. Kori:
    "Noise stability of synchronization and optimal network structures",
    Chaos 30, 013148 (2020) [10 pages]
    DOI: 10.1063/1.5121341
    
20. K. Yoshioka-Kobayashi, M. Matsumiya, Y. Niino, A. Isomura, H. Kori, A. Miyawaki, *R. Kageyama:
    "Coupling delay controls synchronized oscillation in the segmentation clock"
    Nature 580, pp. 119-123 (2020) [5 pages]
    DOI: 10.1038/s41586-019-1882-z
    
21. T. Kobayashi, W. Piao, T. Takamura, H. Kori, H. Miyachi, S. Kitano, Y. Iwamoto, M. Yamada, I. Imayoshi, S. Shioda, A. Ballabio, *R. Kageyama:
    "Enhanced lysosomal degradation maintains the quiescent state of neural stem cells"
    Nature Communications 10, 5446 (2019) [14 pages]
    DOI: 10.1038/s41467-019-13203-4
    
22. H. Kori, I.Z. Kiss, S. Jain, J.L. Hudson:
    "Partial synchronization of relaxation oscillators with repulsive coupling in autocatalytic integrate-and-fire model and electrochemical experiments",
    Chaos 28, 045111 (2018) [7 pages]
    DOI: 10.1063/1.5022497
    
23. K. Sugimura, H. Kori:
    "A reduced cell-based phase model for tissue polarity alignment through global anisotropic cues",
    Scientific Reports 7, 17466 (2017) [13 pages]
    DOI: 10.1038/s41598-017-17611-8
    
24. A. Isomura, H. Kori, R. Kageyama:
    "Segmentation Genes Enter an Excited State",
    Developmental cell 43(2), pp.121-123 (2017) [3 pages]
    DOI: 10.1016/j.devcel.2017.10.008
    
25. S. Koinuma, H. Kori, I.T. Tokuda, K. Yagita, Y. Shigeyoshi:
    "Transition of phase response properties and singularity in the circadian limit cycle of cultured cells",
    PLoS ONE 12(7), e0181223 (2017) [16pages]
    DOI: 10.1371/journal.pone.0181223
    
26. Y. Murayama, H. Kori, C. Oshima, T. Kondo, H. Iwasaki, H. Ito:
    "Low temperature nullifies the circadian clock in cyanobacteria through Hopf bifurcation",
    PNAS 114, pp. 5641-5646 (2017) [6 pages]
    DOI: 10.1073/pnas.1620378114
    プレスリリース
27. H. Kori, Y. Yamaguchi, H. Okamura:
    "Accelerating recovery from jet lag: prediction from a multi-oscillator model and its experimental confirmation in model animals",
    Scientific Reports 7, 46702 (2017) [10 pages]
    DOI: 10.1038/srep46702
    プレスリリース
28. A. Isomura, F. Ogushi, H. Kori, R. Kageyama:
    "Optogenetic perturbation and bioluminescence imaging to analyze cell-to-cell transfer of oscillatory information",
    Genes & Development 31, pp. 524-535 (2017)
    DOI: 10.1101/gad.294546.116
    
29. M. Iima, H. Kori, T. Nakagaki:
    "Studies of the phase gradient at the boundary of the phase diffusion equation, motivated by peculiar wave patterns of rhythmic contraction in the amoeboid movement of Physarum polycephalum",
    Physics D 50, 154004 (2017) [10 pages]
    DOI: 10.1088/1361-6463/aa6269
    
30. Y. Izumida, H. Kori, U. Seifert:
    "Energetics of synchronization in coupled oscillators rotating on circular trajectories",
    Phys. Rev. E 94, 052221 (2016) [10 pages]
    DOI: 10.1103/PhysRevE.94.052221
    
31. Y. Kobayashi, H. Kori:
    "Synchronization failure caused by interplay between noise and network heterogeneity",
    Chaos 26, 094805 (2016)[8 pages]
    DOI: 10.1063/1.4954216
    
32. H. Shimojo, A. Isomura, Toshiyuki Ohtsuka, H. Kori, Hitoshi Miyachi, Ryoichiro Kageyama:
    "Oscillatory control of Delta-like1 in cell interactions regulates dynamic gene expression and tissue morphogenesis",
    Genes & Development 30, pp. 102-116 (2016)
    DOI: 10.1101/gad.270785.115
    
33. K. Sugimura, H. Kori:
    "Exponential system-size dependence of the lifetime of transient spiral chaos in excitable and oscillatory media",
    Phys. Rev. E 92, 062915 (2015) [6 pages]
    DOI: 10.1103/PhysRevE.92.062915
    
34. T. Nagy, E. Verner, V. Gspr, H. Kori, I.Z. Kiss:
    "Delayed feedback induced multirhythmicity in the oscillatory electrodissolution of copper",
    Chaos 25, 064608 (2015) [8 pages]
    DOI: 10.1063/1.4921694
    
35. Y. Kobayashi, H. Kori:
    "Reentrant transition in coupled noisy oscillators",
    Phys. Rev. E 91, 012901 (2015) [6 pages]
    DOI: 10.1103/PhysRevE.91.012901
    
36. H. Kori, Y. Kuramoto, S. Jain, I.Z. Kiss, J.L. Hudson:
    "Clustering in Globally Coupled Oscillators Near a Hopf Bifurcation: Theory and Experiments",
    Phys. Rev. E 89, 062906 (2014) [11 pages]
    DOI: 10.1103/PhysRevE.89.062906
    
37. I. Imayoshi, A. Isomura, Y. Harima, K. Kawaguchi, H. Kori, H. Miyachi, T. Fujiwara, F. Ishidate, R. Kageyama:
    "Oscillatory Control of Factors Determining Multipotency and Fate in Mouse Neural Progenitors",
    Science 342, pp. 1203-1208 (2013)
    DOI: 10.1126/science.1242366
    
38. Y. Yamaguchi, T. Suzuki, Y. Mizoro, H. Kori, K. Okada, Y. Chen, J.M. Fustin, F. Yamazaki, N. Mizuguchi, J. Zhang, X. Dong, G. Tsujimoto, Y. Okuno, M. Doi, H. Okamura:
    "Mice Genetically Deficient in Vasopressin V1a and V1b Receptors Are Resistant to Jet Lag",
    Science 342, pp. 85-90 (2013)
    DOI: 10.1126/science.1238599
    
39. F. Mori, H. Kori:
    "Period variability of coupled noisy oscillators",
    Phys. Rev. E 87, 030901 (2012) [5 pages]
    DOI: 10.1103/PhysRevE.87.030901
    
40. N.E. Kouvaris, H. Kori, A.S. Mikhailov:
    "Traveling and Pinned Fronts in Bistable Reaction-Diffusion Systems on Networks",
    PloS ONE 7(9), e45029 (2012) [12 pages]
    DOI: 10.1371/journal.pone.0045029
    
41. H. Kori, Y. Kawamura, N. Masuda:
    "Structure of Cell Networks Critically Determines Oscillation Regularity",
    J. Theoretical Biology 297, pp. 61 - 72, (2012)
    DOI: 10.1016/j.jtbi.2011.12.007
    
42. R. Tönjes, H. Kori:
    "Synchronization of weakly perturbed Markov chain oscillators",
    Phys. Rev. E 84, 056206 (2011, November) [14 pages]
    DOI: 10.1103/PhysRevE.84.056206
    
43. M. Doi, A. Ishida, A. Miyake, M. Sato, R. Komatsu, F. Yamazaki, I. Kimura, S. Tsuchiya, H. Kori, K. Seo, Y. Yamaguchi, M. Matsuo, J.M. Fustin, R. Tanaka, Y. Santo, H. Yamada, Y. Takahashi, M. Araki, K. Nakao, S. Aizawa, M. Kobayashi, K. Obrietan, G.Tsujimoto, H. Okamura:
    "Circadian regulation of intracellular G-protein signalling mediates intercellular synchrony and rhythmicity in the suprachiasmatic nucleus",
    Nature Communications 2, 327 (2011) [9 pages]
    DOI: 10.1038/ncomms1316
    
44. *Y. Kawamura, H. Nakao, K. Arai, H. Kori, and Y. Kuramoto:
    "Phase synchronization between collective rhythms of globally coupled oscillator groups: Noisy identical case",
    Chaos 20, 043109 (2010) [10 pages]
    DOI: 10.1063/1.3491344
    
45. *Y. Kawamura, H. Nakao, K. Arai, H. Kori, and Y. Kuramoto:
    "Phase synchronization between collective rhythms of globally coupled oscillator groups: Noiseless nonidentical case",
    Chaos 20, 043110 (2010) [8 pages]
    DOI: 10.1063/1.3491346
    
46. *N. Masuda, H. Kori:
    "Dynamics-based centrality for directed networks",
    Phys. Rev. E 82, 056107 (2010, November) [11 pages]
    DOI: 10.1103/PhysRevE.82.056107
    
47. N. Masuda, Y. Kawamura, *H. Kori:
    "Collective fluctuations in networks of noisy components",
    New J. Phys. 12, (2010) [15 pages]
    DOI: 10.1088/1367-2630/12/9/093007
    
48. *R. Tönjes, N. Masuda, H. Kori:
    "Synchronization transition of identical phase oscillators in a directed small-world network",
    Chaos 20, 033108 (2010) [12 pages]
    DOI: 10.1063/1.3476316
    
49. *K.H. Nagai, H. Kori:
    "Noise-induced synchronization of a large population of globally coupled nonidentical oscillators",
    Phys. Rev. E 81, 065202(R) (2010) [4 pages]
    DOI: 10.1103/PhysRevE.81.065202
    
50. Y. Zhai, I. Z. Kiss, H. Kori, *J. L. Hudson:
    "Desynchronization and clustering with pulse stimulations of coupled electrochemical relaxation oscillators",
    Physica D 239, pp. 848-856 (2010)
    DOI: 10.1016/j.physd.2009.06.004
    
51. Craig G. Rusin, Hiroshi Kori, István Z. Kiss, John L. Hudson:
    "Synchronization engineering: tuning the phase relationship between dissimilar oscillators using nonlinear feedback",
    Philosophical Transactions A, 368 (2010, April)
    DOI: 10.1098/rsta.2010.0032
    
52. *N. Masuda, Y. Kawamura and H. Kori:
    "Impact of hierarchical modular structure on ranking of individual nodes in directed networks",
    New J. Phys. 11, 113002 (2009) [21 pages]
    DOI: 10.1088/1367-2630/11/11/113002
    
53. N. Masuda, Y. Kawamura, H. Kori:
    "Analysis of relative influence of nodes in directed networks",
    Phys. Rev. E 80, 046114 (2009) [10 pages]
    DOI: 10.1103/PhysRevE.80.046114
    
54. H. Kori, Y. Kawamura, H. Nakao, K. Arai, Y. Kuramoto:
    "Collective-phase description of coupled oscillators with general network structure",
    Phys. Rev. E 80, 036207 (2009) [9 pages]
    DOI: 10.1103/PhysRevE.80.036207
    
55. Y. K. Takahashi, H. Kori, and N. Masuda,
    "Self-organization of feed-forward structure and entrainment in excitatory neural networks with spike-timing-dependent plasticity",
    Phys. Rev. E 79, 051904 (2009) [10 pages]
    DOI: 10.1103/PhysRevE.79.051904
    

56. C. G. Rusin, I. Z. Kiss, H. Kori, *J. L. Hudson:
    "A Framework for Engineering the Collective Behavior of Complex Rhythmic Systems",
    Industrial & Engineering Chemistry Research 48, 9416 (2009) [16pages]
    DOI: 10.1021/ie801807f
    
57. Y. Kobayashi, H. Kori,
    "Design principle of multi-cluster and desynchronized states in oscillatory media via nonlinear global feedback",
    New J. Phys. 11, 033018 (2009) [17 pages]
    DOI: 10.1088/1367-2630/11/3/033018
    

58. *T. Harada, T. Yokogawa, T. Miyaguchi, H. Kori,
    "Singular behavior of slow dynamics of single excitable cells",
    Biophysical Journal 96, 255-267 (2009, January)
    DOI: 10.1529/biophysj.108.139691
    

59. Y. Kawamura, *H. Nakao, K. Arai, H. Kori, and Y. Kuramoto:
    "Collective Phase Sensitivity",
    Phys. Rev. Lett. 101, 024101 (2008) [4 pages]
    DOI: 10.1103/PhysRevLett.101.024101
    

60. H. Kori, C. G. Rusin, I. Z. Kiss, and J. L. Hudson:
    "Synchronization Engineering: Theoretical Framework and Application to Dynamical Clustering",
    in the forcus issue on "Design and Control of Self-Organization in Distributed Active Systems"
    Chaos 18, 026111 (2008) [13 pages]
    DOI: 10.1063/1.2927531
    

61. *I. Z. Kiss, M. Quigg, S. C. Chun, H. Kori, and J. L. Hudson:
    "Characterization of Synchronization in Interacting Groups of Oscillators: Application to Seizures",
    Biophysical Journal 94, pp.1121-1130 (2008)
    DOI: 10.1529/biophysj.107.113001
    

62. I. Z. Kiss, C. G. Rusin, H. Kori, *J. L. Hudson,
    "Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization",
    Science 316, 1886-1889 (2007) [5pages]
    DOI: 10.1126/science.1140858
    

    This study is introduced in "Perspectives" of Science: Science 316, 1857 (2007)

63. N. Masuda and H. Kori,
    "Formation of feedforward networks and frequency synchrony by spike-timing-dependent plasticity",
    Journal of Computational Neuroscience 22, pp. 327-345 (2007)
    DOI: 10.1007/s10827-007-0022-1
    
64. H. Kori, A. S. Mikhailov:
    "Strong effects of network architecture in the entrainment of coupled oscillator systems"
    Phys. Rev. E 74 066115 (2006) [14 pages]
    DOI: 10.1103/PhysRevE.74.066115
    
65. S. Lammer, H. Kori, K. Peters and D. Helbing:
    "Decentralised control of material or traffic flows in networks using phase-synchronisation"
    Physica A 363, pp. 39-47 (2006)
    DOI: 10.1016/j.physa.2006.01.047
    
66. H. Kori, A. S. Mikhailov:
    "Entrainment of randomly coupled oscillator networks by a pacemaker"
    Phys. Rev. Lett. 93, 254101 (2004) [4pages]
    DOI: 10.1103/PhysRevLett.93.254101
    
67. H. Kori, Y. Kuramoto,
    "Slow switching in a population of delayed pulse-coupled oscillators"
    Phys. Rev. E 68, 021919 (2003) [8pages]
    DOI: 10.1103/PhysRevE.68.021919
    
68. H. Kori
    "Slow switching in globally coupled oscillators:
    robustness and occurrence through delayed coupling"
    Phys. Rev. E 63, 046214 (2001) [10pages]
    DOI: 10.1103/PhysRevE.63.046214
    

Books

• 郡宏、森田善久：
  「生物リズムと力学系」
  共立出版　(2011) [171 pages]. 著者原稿（Chap.1）
  
  Hiroshi Kori and Yoshihisa Morita:
  "Dynamical system approach to biological rhythms"
  Kyoritsu-Syuppan (2011) [171 pages].

review articles

• 郡宏
  「体内時計と時差ボケの数理モデル」
  数理科学 62 (6), pp. 60-66, 2024-06 (2024). （最終稿）

• Hiroshi Kori:
  ”Another Role of Neural Communication: Suppression of Undesirable Oscillations"
  JPSJ News Comments 16, 09 (2019)

• 郡宏
  「数理モデルによるジェットラグ症状の理解」 医学のあゆみ 267 (6), pp. 463-468 (2018) （最終稿）
  Hirohi Kori:
  Understanding of jet-lag symptons using mathematical models
  Journal of Clinical and Experimental Medicine (IGAKU NO AYUMI) 267 (6), pp. 463-468 (2018)
  

• 郡宏
  「リズムのゆらぎと応答のミクロ・マクロリンク」
  数理科学 55 (7), pp. 1248-1255 (2017) （最終稿）

• 郡宏
  「現代物理のキーワード：同期現象研究の広がり」
  日本物理学会誌 69, 602-603 (2014) （最終稿）

• 郡宏
  「コラム：メイドインジャパン物理用語　物性編 　蔵本-シバシンスキー方程式」
  パリティ Vol. 28 No. 10 (2013) （最終稿）

• 伊藤浩史、郡宏
  「生物リズムの生まれ方：数学的視点から」
  細胞工学 30 (12), pp. 1248-1255 (2011年12月号).
  Hiroshi Ito, Hiroshi Kori:
  "Birth Stroy of Biological rhythms: A Mathematical Point of View",
  Saibo-Kougaku 30 (12), pp. 1248-1255 (2011).
  

• 増田直紀、河村洋史、郡宏：
  「ネットワークの構造が生物リズムの精度に与える影響について」
  精密工学会誌 77, 145-148 (2011).

• H. KORI "Approach to dynamical systems: examples of oscillatory phenomena",
  in Japanese science magazine "Suri Kagaku" {\bf 572} (2011, in Japanese)
  

  郡宏
  「力学系によるアプローチ：振動現象を具体例として」
  サイエンス社「数理科学」, 44年(12), pp. 33-38, (2011) （最終稿）

• H. KORI and N. MASUDA, "Synchronization of Coupled Oscillators on Complex networks",
  Jounal of the Robot Society of Japan (Vol 26, No. 1, pp. 6-9, 2008, in Japanese)
  

  郡宏，増田直紀
  「結合振動子における集団引き込みと複雑ネットワーク」
  日本ロボット学会誌 Vol 26, No. 1, pp. 6-9, 2008年1月

• N. MASUDA and H. KORI, "Complex networks: introduction and relations to synaptic plasticity",
  Jounal of Japanese Neural Network Society (Vol 14, No. 3, pp. 173-185, 2007, in Japanese)
  

  増田直紀，郡宏
  「複雑ネットワーク:導入およびシナプス可塑性との関係」
  日本神経回路学会誌 Vol.14, No.3, pp. 173-185, 2007年9月

• H. KORI,
  "Series: Frontier of Network Science, the 3rd article, Entrainment of Oscillator Network and Biological Clocks",
  in Japanese science magazine "Suri Kagaku" (Dec 2006, in Japanese)
  

  郡宏
  サイエンス社「数理科学」、2006年12月号、
  連載「ネットワーク科学最前線」、第3回、「振動子ネットワークの引き込みと体内時計」（最終稿）
  

• H. KORI and Y. KURAMOTO,
  "Series: Frontier of Network Science, the 2rd article, Complex Networks and Nonlinear Science",
  in Japanese science magazine "Suri Kagaku" (Nov 2006, in Japanese),
  

  郡宏、蔵本由紀、
  サイエンス社「数理科学」、2006年11月号、
  「連載：ネットワーク科学最前線」、第2回、「複雑ネットワークと非線形科学」（最終稿）
  

Proceedings

• S. Tanaka, H. Kori, A. Ozawa,
  "A mathematical study about the sustaining phenomenon of overtone in flageolet harmonics on bowed string instruments",
  Proc. Mtgs. Acoust. 52, 035006 (2023)
  DOI: 10.1121/2.0001835
  
• H. Kori and A. S. Mikhailov,
  "Entrainment of Complex Oscillator Networks",
  in Science of Complex Networks: From Biology to the Internet and WWW,
  editted by J. F. F. Mendes et.al., AIP Conference Proceedings,
  vol. 776, pp. 157-165 (Melville, New York, 2005).
  

Theses

• Doctor Thesis "Slow switching in globally coupled oscillators"
  thesis_kori.pdf (0.7Mb)
  (January 2003)
  
• Master Thesis "Structure of the slow switching phenomenon and examples in neural network models" (in Japanese)
  kori-master.pdf (3.8Mb)
  (February 2000)
  

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