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| 1 | +--- |
| 2 | +layout: pw44-project |
| 3 | + |
| 4 | +permalink: /:path/ |
| 5 | + |
| 6 | +project_title: Gradient waveform optimisation for microstructure mapping with diffusion MRI |
| 7 | +category: Quantification and Computation |
| 8 | +presenter_location: |
| 9 | + |
| 10 | +key_investigators: |
| 11 | + |
| 12 | +- name: Arthur Chakwizira |
| 13 | + affiliation: Brigham and Women's Hospital |
| 14 | + country: Harvard Medical School, USA |
| 15 | + |
| 16 | +--- |
| 17 | + |
| 18 | +# Project Description |
| 19 | + |
| 20 | +<!-- Add a short paragraph describing the project. --> |
| 21 | + |
| 22 | + |
| 23 | +Time-dependent diffusion MRI offers sensitivity to brain tissue microstructure, but has limited specificity. Multiple features of the tissue microstructure tend to map onto the same signal contrast. Multi-dimensional experiment designs using freely modulated gradient waveforms have been proposed as a remedy, with previous work demonstrating the ability to disentangle features such as cell size, cell shape and membrane permeability. However, the waveforms used in previous studies were stochastically generated and a rigorous optimiser remains an unmet need. |
| 24 | + |
| 25 | + |
| 26 | + |
| 27 | +## Objective |
| 28 | + |
| 29 | +<!-- Describe here WHAT you would like to achieve (what you will have as end result). --> |
| 30 | + |
| 31 | + |
| 32 | +Develop a gradient waveform optimiser that allows targeting specific tissue characteristics (such as cell size) while respecting hardware constraints and maximising diffusion encoding efficiency |
| 33 | + |
| 34 | + |
| 35 | + |
| 36 | + |
| 37 | +## Approach and Plan |
| 38 | + |
| 39 | +<!-- Describe here HOW you would like to achieve the objectives stated above. --> |
| 40 | + |
| 41 | + |
| 42 | +1. Parameterise gradient waveforms using a set of control points in the Cartesian plane, together with cubic spline interpolation |
| 43 | +2. Define a cost function predicting sensitivity to various microstructural properties, using the gradient waveform and analytical microstructure models |
| 44 | +3. Set up constraints to account for hardware and time limitations. Enforce a minimum b-value. |
| 45 | +4. Choose an appropriate solver |
| 46 | + |
| 47 | + |
| 48 | + |
| 49 | +## Progress and Next Steps |
| 50 | + |
| 51 | +<!-- Update this section as you make progress, describing of what you have ACTUALLY DONE. |
| 52 | + If there are specific steps that you could not complete then you can describe them here, too. --> |
| 53 | + |
| 54 | + |
| 55 | +1. Parameterised waveforms using control points and cubic spline interpolation |
| 56 | +2. Defined a cost function evaluating sensitivity using the gradient waveform and microstructure models |
| 57 | +3. Imposed constraints to account for hardware (slew rate, gradient amplitude) and echo time. Enforced a minimum b-value of 4000 s/mm2. |
| 58 | +4. Chose the patternsearch solver with randomised initial conditions |
| 59 | + |
| 60 | + |
| 61 | + |
| 62 | +# Illustrations |
| 63 | + |
| 64 | +<!-- Add pictures and links to videos that demonstrate what has been accomplished. --> |
| 65 | + |
| 66 | + |
| 67 | +Stochastically generated waveforms from previous work, designed for the MAGNUS MRI scanner. |
| 68 | +<img width="858" height="293" alt="Image" src="https://github.com/user-attachments/assets/61e1977f-4604-4df5-8c96-921b1cdec0bd" /> |
| 69 | + |
| 70 | + |
| 71 | + |
| 72 | + |
| 73 | +Example waveforms from the new optimiser, illustrating both the gradient in time and the encoding power spectrum. These waveforms are optimised for specificity to restricted diffusion (cell size). |
| 74 | + |
| 75 | + |
| 76 | + |
| 77 | + |
| 78 | + |
| 79 | +<img width="700" height="901" alt="Image" src="https://github.com/user-attachments/assets/7c066a36-402e-43ff-84d0-3db6ee172348" /> |
| 80 | + |
| 81 | + |
| 82 | + |
| 83 | +# Background and References |
| 84 | + |
| 85 | +<!-- If you developed any software, include link to the source code repository. |
| 86 | + If possible, also add links to sample data, and to any relevant publications. --> |
| 87 | + |
| 88 | + |
| 89 | +[GitHub repository](https://github.com/arthur-chakwizira/waveform-optimisation) |
| 90 | + |
| 91 | + |
| 92 | + |
| 93 | +Previous work presenting the idea of time-dependent diffusion MRI with non-standard waveforms: |
| 94 | + |
| 95 | +- Chakwizira, A., Zhu, A., Foo, T., Westin, C.-F., Szczepankiewicz, F. & Nilsson, M. 2023. Diffusion MRI with free gradient waveforms on a high-performance gradient system: Probing restriction and exchange in the human brain. NeuroImage. 283: 120409 |
| 96 | + |
| 97 | +- Chakwizira, A., Westin, C.-F., Brabec, J., Lasič, S., Knutsson, L., Szczepankiewicz, F. & Nilsson, M. 2022. Diffusion MRI with pulsed and free gradient waveforms: Effects of restricted diffusion and exchange. NMR in Biomedicine. n/a(n/a): e4827. |
| 98 | + |
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