| Project/Area Number |
23K13015
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| Research Category |
Grant-in-Aid for Early-Career Scientists
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| Allocation Type | Multi-year Fund |
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| Review Section |
Basic Section 12040:Applied mathematics and statistics-related
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| Research Institution | Kyoto University |
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Principal Investigator |
Diez Antoine 京都大学, 高等研究院, 特定研究員 (50975258)
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| Project Period (FY) |
2023-04-01 – 2028-03-31
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| Project Status |
Granted (Fiscal Year 2023)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2027: ¥390,000 (Direct Cost: ¥300,000、Indirect Cost: ¥90,000)
Fiscal Year 2026: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2025: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2024: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2023: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | cell migration / self organization / mechanical constraints / deformation / continuum limit / fiber networks / probabilistic modeling / in silico modeling / fiber network / tissue modelling / simulation |
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| Outline of Research at the Start |
This research studies the emergence of complex self-organized structures in biology due to cell migration. It is based on a new model which includes mechanical interactions between the cells and their medium. It is studied both using computer simulations and analytically using mathematical methods.
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| Outline of Annual Research Achievements |
The main research achievement of this year is the submission of a preprint on a new model for soft body simulations in collaboration with Jean Feydy (Inria, Paris). This model is related to the initial research objective of designing realistic mechanical models of cell migration, but it also extends this initial goal to related important problems such as cell sorting phenomena. The mathematical analysis of this model is still on-going following the statistical physics framework explained in the Research Plan.
The mathematical model of fiber networks introduced in the Research Plan is currently under study in collaboration with Louis-Pierre Chaintron (ENS Paris). Progress have been made this year on the analytical framework. In particular, the development of a new probabilistic method is expected to overcome a major mathematical difficulty in the study of scaling limits for large random networks.
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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
The analytical study initially planned is progressing rather smoothly. The mathematical framework has been developed and should lead to the desired goal.
The numerical part of the project has been slightly delayed in order to develop the new model detailed in the summary of research achievements. This new model has nevertheless lead to an unexpected research achievement which will be developed in the future, jointly with the initial goal.
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| Strategy for Future Research Activity |
The first goal of the coming year is to fulfill the main analytical goal of the Research Plan, namely the derivation of a continuum model for fiber networks. This will be based on the novel probabilistic framework developed this year and this achievement seems possible in the coming months. Further analytical and numerical works will then be considered.
In addition, the new model designed this year has extended the initial goal of the project by considering more general mechanical modes of interactions. This suggests new directions of research. A constant key question is the derivation of a continuum model, as for the initial project, and can be considered as a first objective. In addition, applications of this model in developmental biology are also planned.
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