| Description | It is a widely accepted principle in engineering that for any structure Form follows Function. The Form of a structure is comprised of its shape, size, internal configuration, and texture. For large-scale engineered structures, such as buildings, bridges, and automobiles, the Form is typically a part of its functional design and is exactly known. However, for small-scale structures, the Form has to be extracted via 3D imaging. Structural images are obtained via microscopy in as a 3D stack are then reconstructed and post-processed to obtain the Form. Such procedure is increasingly implemented for a variety of tiny, living structures, such as micro-organisms, and constitutes a first step towards understanding their mechanics and function. In this inter-disciplinary project at the interface of engineering, physics, and biology, our goal is to analyze real-life images of small-scale biological structures of ~100 micrometer size and extract their Form. The Form would then be used to predict the mechanics of the structures. |
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| Number of students | 2 |
| Year of study | Students in their 2nd year (Semester 3), Students in their 3rd year (Semester 5), Students in their 4th/5th year (Semester 7/9) |
| CPI | 7 and above |
| Prerequisites | Should have some programming experience, preferably in Python/Matlab. |
| Duration | 3-5 months |
| Learning outcome | After successful implementation of project goals, the student will get cutting-edge skills in image processing, 3D image reconstruction, data analysis, computational geometry, and machine learning. More importantly, the student would get a rare, valuable experience of working on an inter-disciplinary team and understand how to learn and apply a broad set of skills on real-life data. |
| Weekly time commitment | During December holidays 15 hrs per week. During the semester 3 hours per week. |
| General expectations | Desire to do independent Matlab/Python coding while using existing libraries, and willingness to learn new ideas and techniques when required. |
| Assignment | https://www.dropbox.com/scl/fi/01tlk3rxtl4kee7uj2n3c/iSURP_Resources.pdf?rlkey=s4w9ijapcmfyaffgc40zm8don&dl=0 |
| Instructions for assignment | Take a look at the resources and just try to make some sense of them. You do not need to understand every detail but just try out what you may need to do. You may contact me if you need to know more. |
| Description | The contact angle at a three-phase junction (where two fluid and one solid phase meet) is determined by the surface energies of the three phases. One way to numerically model this physics is to impose the contact angle while keeping the fluid-fluid interface as a diffuse one. In numerical modelling, the contact angle changes drastically from equilibrium when the three-phase junction moves with a given velocity. The project will use perturbation methods to identify the reasons behind this behaviour and, if possible, provide accurate ways to ensure that the dynamic contact angle remains close to the equilibrium one. Lattice Boltzmann method will be used for the numerical solution of the fluid dynamical equations. |
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| Number of students | 1 |
| Year of study | Students in their 2nd year (Semester 3), Students in their 3rd year (Semester 5), Students in their 4th/5th year (Semester 7/9) |
| CPI | 7 and above |
| Prerequisites | Coursework: transport phenomena, fluid mechanics, numerical analysis; experience with c++ programming |
| Duration | 3-4 months |
| Learning outcome |
a) Application of perturbation methods b) Analysis of discrete effects on numerical solution c) Introduction to lattice Boltzmann method |
| Weekly time commitment | 6 hours |
| General expectations | - |
| Assignment | - |
| Instructions for assignment | - |
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