Study on evolution by lattice Lotka-Volterra method

• Project/Area Number: 20500204
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Sensitivity informatics/Soft computing
• Research Institution: Shizuoka University
• Principal Investigator: TAINAKA Kei-ichi 静岡大学, 創造科学技術大学院, 教授 (30142227)
• Co-Investigator(Kenkyū-buntansha): YOSHIMURA Jin 静岡大学, 創造科学技術大学院, 教授 (10291957)
• Co-Investigator(Renkei-kenkyūsha): ROSENZWEIG M. アリゾナ大学, 教授
• Project Period (FY): 2008 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000); Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
• Keywords: 格子ロトカボルテラ模型 / 数値シミュレーション / 生物進化 / 酵母菌 / 最適化 / ゲーム理論 / 確率的情報処理 / 性比理論 / イースト菌 / アポトーシス

Research Abstract

Since 1988, we have developed lattice version of Lotka-Volterra model as an individual-based model. Main results are as follows : 1. A simple population theory for mutualism : We derived simplest equations which contain essential features of mutualism. 2. In vivo study on the density effect of budding yeasts. We find two new events at inflection point of logistic growth : sudden stop of reproduction in daughter cells and mass explosion(apoptosis) of aged mother cells.

Research Products

• [Journal Article] A simple population theory for mutualism by the use of lattice gas model (2011)
  • Author(s): S. Iwata, K. Kobayashi, S. Higa, J. Yoshimura and K. Tainaka.
  • Journal Title: Ecological Modelling Volume: 222 Pages: 2042-2048
  • Peer Reviewed
• [Journal Article] Apoptosis at inflection point in liquid culture of budding yeasts (2011)
  • Author(s): T. Hagiwara, T. Ushimaru, K. Tainaka, H. Kurachi, J. Yoshimura.
  • Journal Title: PLoS ONE Volume: 6(4) Pages: 19224-19224
  • Peer Reviewed
• [Journal Article] Combined effects of prevention and quarantine on a breakout in SIR model (2011)
  • Author(s): F. Kato, K. Tainaka, S. Sone, S. Morita, H. Iida, J. Yoshimura.
  • Journal Title: Scientific Reports Volume: vol.1, No10
  • Peer Reviewed
• [Journal Article] Life Cycle Replacement by Gene Introduction under an Allee Effectin Periodical Cicadas (2011)
  • Author(s): Y. Nariai, S. Hayashi, S. Morita, Y. Umemura, K. Tainaka, T. Sota, J. R. Cooley and J. Yoshimura
  • Journal Title: PLoS ONE Volume: vol.6 Pages: 18347-18347
  • Peer Reviewed
• [Journal Article] Apoptosis at inflection point in liquid culture of budding yeasts (2011)
  • Author(s): T.Hagiwara, et al
  • Journal Title: PLoS One Volume: 6 Issue: 4 Pages: 1-7
  • DOI: 10.1371/journal.pone.0019224
  • Peer Reviewed
• [Journal Article] Combined effects of prevention and quarantine on a breakout in SIR model. (2011)
  • Author(s): Kato, F., Tainaka K-i., Sone, S., Morita, S., Iida, H. and Yoshimura, J.
  • Journal Title: cientific Reports Volume: 1 Issue: 1 Pages: 1-5
  • DOI: 10.1038/srep00010
  • Peer Reviewed
• [Journal Article] Life Cycle Replacement by Gene Introduction under an Allee Effect in Periodical Cicadas. (2011)
  • Author(s): Y. Nariai, S. Hayashi, S. Morita, Y. Umemura, K. Tainaka, T. Sota, J.R. Cooley, J. Yoshimura
  • Journal Title: PLoS ONE Vol.6
  • Peer Reviewed
• [Journal Article] Historical effect in the territoriality of Ayu fish. (2011)
  • Author(s): Tanaka, Y., K. Iguchi, J. Yoshimura, N. Nakagiri, K. Tainaka
  • Journal Title: J.Theor.Biol. Vol.268 Pages: 98-104
  • Peer Reviewed
• [Journal Article] Historical effect in the territoriality of ayu fish (2011)
  • Author(s): Y.Tanaka, et al.
  • Journal Title: Journal of Theoretical Biology Volume: 268 Pages: 98-104
  • Peer Reviewed
• [Journal Article] Effects of habitat destruction in model ecosystems (2010)
  • Author(s): N.NAKAGIRI, et al.
  • Journal Title: Ecological Informatics Volume: 5 Pages: 241-247
  • Peer Reviewed
• [Journal Article] Infection threshold for SIS model in site and bond percolation (2010)
  • Author(s): Y, Sakisaka, et al.
  • Journal Title: J.Phys.Soc.Japan 79
  • Peer Reviewed
• [Journal Article] The Allee effect in the selection for prime-numbered cycles in periodical cicadas (2009)
  • Author(s): Yumi Tanaka, Jin Yoshimura, Chris Simon, John R. Cooley and Kei-ichi Tainaka
  • Journal Title: Proc. Natl. Acad. Sci. Volume: Vol.106 Pages: 8975-8979
  • Peer Reviewed
• [Journal Article] Breeding games and dimorphism in male salmon (2009)
  • Author(s): Yumi Tanaka, Taro Hayashi, Donald G. Miller III, Kei-ichi Tainaka, Jin Yoshimura
  • Journal Title: Animal Behaviour Volume: Vol.77 Pages: 1409-1413
  • Peer Reviewed
• [Journal Article] Potential impacts of flooding events and stream modification onan endangered endemic plant, Schoenoplectus gemmifer(Cyperaceae) (2009)
  • Author(s): K. Kitamura, J. Yoshimura, K. Tainaka and S. Yokojima
  • Journal Title: Ecological Research Volume: Vol.24 Pages: 533-546
• [Journal Article] Selection for prime-number intervals in anumerical model of periodical cicada evolution (2009)
  • Author(s): Jin Yoshimura, Taro Hayashi1, Yumi Tanaka, Kei-ichi Tainaka and Chris Simon
  • Journal Title: Evolution Volume: Vol.63 Pages: 288-294
  • Peer Reviewed
• [Journal Article] Do spatial effects appear at low dilution rate in chemostat? (2009)
  • Author(s): Tatsuo Miyazaki, Tatsuya Togashi, Nariyuki Nakagiri, Yukio Sakisaka, Kei-ichi Tainaka and Jin Yoshimura
  • Journal Title: Ecological Complexity Volume: Vol.6 Pages: 191-196
  • Peer Reviewed
• [Journal Article] The Allee effect in the selection for prime-numbered cycles in periodical cicadas (2009)
  • Author(s): Y.Tanaka, et al.
  • Journal Title: Proceedings of the National Academy of Sciences (PNAS) 106 Pages: 8975-8979
  • Peer Reviewed
• [Journal Article] Selection for prime-number intervals in a numerical model of periodical cicada evolution (2009)
  • Author(s): J.Yoshimura, et al.
  • Journal Title: Evolution 63 Pages: 288-294
  • Peer Reviewed
• [Journal Article] The Allee effect in the selection for prime-numbered cycles in periodical cicadas (2009)
  • Author(s): Y. Tanaka, et al.
  • Journal Title: Proceedings of the National Academy of Sciences (PNAS) (In press)
  • Peer Reviewed
• [Journal Article] Selection for prime-number intervals in a numerical model of periodical cicada evolution (2009)
  • Author(s): J. Yoshimura, et al.
  • Journal Title: Evolution 63 Pages: 288-294
  • Peer Reviewed
• [Journal Article] Population dynamics of Mullerian mimicry under interspecific competition (2009)
  • Author(s): F. Kumazawa, et al.
  • Journal Title: Ecological Modelling 220 Pages: 424-429
  • Peer Reviewed
• [Journal Article] Evolution of gamete size in primitive taxa without mating types (2009)
  • Author(s): T. Togashi, et al.
  • Journal Title: Population Ecology 51 Pages: 83-88
  • Peer Reviewed
• [Journal Article] Lattice Population and Optimality of Sex Ratio (2008)
  • Author(s): T. Nitta, et al.
  • Journal Title: Lecture Notes in Computer Science 5191 Pages: 368-373
  • Peer Reviewed
• [Journal Article] A slight delay in the onset of conservation may bring about an abrupt increase of extinction risk (2008)
  • Author(s): H. Nagata, et al.
  • Journal Title: Lecture Notes in Computer Science 5191 Pages: 362-367
  • Peer Reviewed
• [Journal Article] Perturbation experiments and fluctuation enhancement in finite size of lattice ecosystems : uncertainty in top-predator conservation (2008)
  • Author(s): H. Nagata, et al.
  • Journal Title: Ecological Informatics 3 Pages: 191-201
  • Peer Reviewed
• [Journal Article] Apoptosis at inflection point in liquid culture of budding yeasts.
  • Author(s): T. Hagiwara, T. Ushimaru, K. Tainaka, H. Kurachi, J. Yoshimura
  • Journal Title: PLoS ONE in press
  • Peer Reviewed
• [Journal Article] Combined effects of prevention and quarantine on a breakout in SIR model.
  • Author(s): F. Kato, K. Tainaka, S. Sone, S. Morita, H. yuki Iida, J. Yoshimura
  • Journal Title: Scientific Reports in press
  • Peer Reviewed
• [Journal Article] A simple population theory for mutualism by the use of lattice gas model.
  • Author(s): S. Iwata, K. Kobayashi, S. Higa, J. Yoshimura, K. Tainaka
  • Journal Title: Ecological Modelling in press
  • Peer Reviewed
• [Presentation] Mass Suicide of Aged Mother Cells at Inflection Point in Liquid Culture of Budding Yeasts (2011)
  • Author(s): Kei-ichi Tainaka
  • Organizer: The 5thInternational Congress on Mathematical Biology
  • Place of Presentation: Nanjing, China
  • Year and Date: 2011-06-04
• [Presentation] Mass Suicide of Aged Mother Cells at Inflection Point in Liquid Culture of Budding Yeasts (2011)
  • Author(s): Kei-ichi Tainaka
  • Organizer: The 5th International Congress on Mathematical Biology
  • Place of Presentation: Nanjing, China Nanjing University(招待講演)
  • Year and Date: 2011-06-04
• [Presentation] Individual-based models for mutualism (2010)
  • Author(s): Kei-ichi Tainaka
  • Organizer: The Third China-Japan Colloquium of Mathematical Biology
  • Place of Presentation: Beijing, China(招待講演)
  • Year and Date: 2010-10-20
• [Presentation] Effects of habitat destruction in model ecosystems. (2010)
  • Author(s): Kei-ichi Tainaka
  • Organizer: The 3rd China-Japan Colloquium of Mathematical Biology.
  • Place of Presentation: Sea North Green Garden Hotel, Beijing, China
  • Year and Date: 2010-10-20
• [Presentation] Spatial and temporal dynamics in mate-choice systems (2010)
  • Author(s): Kei-ichi Tainaka
  • Organizer: The 3rd China-Japan Colloquium of Mathematical Biology.
  • Place of Presentation: Sea North Green Garden Hotel, Beijing, China
  • Year and Date: 2010-10-20
• [Presentation] 2種生物共生系の格子モデルと平均場理論 (2010)
  • Author(s): 比嘉慎一郎
  • Organizer: 情報処理学会 (奨励賞受賞)
  • Place of Presentation: 東京大学
• [Presentation] Evolution of animal sex ratio (2008)
  • Author(s): K. Tainaka
  • Organizer: The Second China-Japan Colloquium of Mathematical Biology
  • Place of Presentation: Okayama
• [Book] 生き残る生物絶滅する生物 (2008)
  • Author(s): 泰中啓一, 吉村仁
  • Total Pages: 154
  • Publisher: 世茂出版(台北・台湾)
• [Remarks]
  • URL: http://www.sys.eng.shizuoka.ac.jp/~tainaka/index.html
• [Remarks]
  • URL: http://www.sys.eng.shizuoka.ac.jp/~tainaka/index.html
• [Remarks] ホームページ
  • URL: http://www.sys.eng.shizuoka.ac.jp/~tainaka/index.html
• [Remarks]
  • URL: http://www.sys.eng.shizuoka.ac.jp/~tainaka/