Mathematical Analysis on Locomotion Pattern and Friction Control in Gastropod's Crawling Locomotion

2016 Fiscal Year Final Research Report

• Project/Area Number: 26887038
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: Shimane University (2015-2016); Meiji University (2014)
• Principal Investigator: IWAMOTO Mayuko 島根大学, 総合理工学研究科, 講師 (80738641)
• Research Collaborator: UEYAMA Daishin 武蔵野大学, 工学部, 教授
• Project Period (FY): 2014-08-29 – 2016-03-31
• Keywords: 数理モデル / 生物の運動 / 腹足類 / 数値シミュレーション / 分岐現象

Outline of Final Research Achievements

The purpose of this study was to investigate mathematically a control mechanism on traveling wave pattern due to musclular contraction in gastropods' crawling locomotion. Bifurcation phenomena of two locomotion styles, direct wave and retrograde wave, were observed in numerical calculations with our previous model of spring mass system, which is discribed the mutual interactions between the muscular contraction wave and dynamic viscoelasticity of the mucus. To understand friction control, we also performed a basic experiment of transition of friction control on crawling locomotion in gastropod. In the process of builing a mathematical model with two friction control, lifting pedal up or the mucus, we verified a fundamental common mechanism on proportion regulation in a swarm of self-driven particle.

Free Research Field

数理生物