pith. sign in

arxiv: 2605.23729 · v1 · pith:4MWK22X2new · submitted 2026-05-22 · ⚛️ physics.optics · cond-mat.soft· physics.flu-dyn

Real time monitoring of pressure-induced deformation of PDMS to evaluate pressure distribution in microfluidic channels

Pith reviewed 2026-05-25 03:00 UTC · model grok-4.3

classification ⚛️ physics.optics cond-mat.softphysics.flu-dyn
keywords microfluidicspressure sensingPDMSphase imagingdeformation monitoringreal-time measurementoptical pressure mapping
0
0 comments X

The pith

Quantitative phase imaging of PDMS deformation enables real-time pressure sensing in microfluidic channels without added components.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper establishes a pressure sensing technique for microfluidic channels that relies on quantitative phase imaging of how PDMS walls deform under pressure. The method achieves real-time measurements over large fields of view with high sensitivity. It works on unmodified devices without any embedded probes. If successful, this would make pressure monitoring simpler and more accessible for microfluidic experiments.

Core claim

The authors show that quantitative phase imaging can track the deformation of PDMS microfluidic channel walls in real time, enabling the determination of internal pressure distributions over large areas without the need for device modifications or additional sensing elements.

What carries the argument

Quantitative phase imaging of the deformation of compliant PDMS channels, converting observed phase changes into pressure maps.

Load-bearing premise

Deformation of the PDMS walls can be accurately and quantitatively linked to internal pressure using phase imaging data alone.

What would settle it

A side-by-side test where pressures calculated from phase images are compared to readings from a reference pressure sensor in the same channel, showing significant discrepancies.

Figures

Figures reproduced from arXiv: 2605.23729 by Kiran Acharya, Martin Brandenbourger, Serge Monneret, Thomas Chaigne.

Figure 1
Figure 1. Figure 1: Principle of wavefront analysis through a transparent, deformable microflu￾idic chip. (a) Experimental set-up for quantitative phase imaging of a microfluidic chip using a wavefront sensor as the phase analyzer. (b) Schematic of the chip geometry: a linear channel with circular cross-section is embedded in a homogeneous PDMS block. A planer incident wavefront is distorted after propagation through the chan… view at source ↗
Figure 2
Figure 2. Figure 2: Quantitative phase imaging can measure pressure from microfluidic channel deformation. (a) 13 µm-high slices (around dashed line indicated in Fig.1(c)) of consecutive OPD images under increasing pressure are stacked to highlight channel deformation as a function of pressure. (b) Experimental transverse OPD profiles under increasing pressure from 0 to 1 bar. (c) Evolution of channel radius R as a function o… view at source ↗
Figure 3
Figure 3. Figure 3: Deformation measurement accuracy and sensitivity. (a-b) Distribution of R (a) and Δ𝑛 (b) parameters when fitting each line from a single OPD image, for 3 independent experiments with identical experimental configuration (60x magnification, no pressure). (c) Evolution of channel radius for a pressure ramp from 0 to 100 mbar, with step of 10 mbar, highlighting the sensitivity of our technique. However, the c… view at source ↗
Figure 4
Figure 4. Figure 4: Pressure measurement with white light illumination. (a) OPD image using filtered red illumination around 700 nm. (b) OPD image using unfiltered white illumination (no pressure applied). (c) Measured and fitted OPD profiles, from OPD image under red or white light. Fitted parameters for white light are R = 54.4 µm and Δ𝑛 = 0.063. The wavelength-dependent optical refractive index of PDMS is seen from the sid… view at source ↗
Figure 5
Figure 5. Figure 5: High temporal resolution of channel deformation. a) Temporal evolution of channel radius upon large 500 mbar pressure step (positive or negative). b) Absolute value of the derivative of the channel radius, highlighting the asymmetry of deformation dynamics between rising or falling pressure. These results also showcase the reliability of the method to study dynamic pressure, as it clearly highlight that no… view at source ↗
read the original abstract

Accurate pressure measurements in micrometric channels are essential for a wide range of microfluidic applications. Existing approaches rely on a variety of sensing mechanisms, but generally require the integration of additional probes or sensing elements during or after chip fabrication. Here, we introduce a pressure sensing approach based on quantitative phase imaging of the deformation of compliant microfluidic channels. We demonstrate real-time measurements of channel deformation over a large field of view with high sensitivity, without the need for embedded components or modifications of the microfluidic device.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The manuscript introduces a pressure sensing approach for microfluidic channels that uses quantitative phase imaging to monitor deformation of compliant PDMS walls. It claims to demonstrate real-time measurements of channel deformation over a large field of view with high sensitivity, without embedded components or device modifications.

Significance. If the deformation-to-pressure conversion is shown to be accurate and robust, the method would provide a non-invasive alternative to existing sensor-integration techniques, enabling pressure mapping in unmodified standard microfluidic devices using accessible phase imaging hardware.

major comments (2)
  1. [Abstract] Abstract: The abstract asserts a demonstration of real-time measurements and high sensitivity but supplies no quantitative data, validation results, error analysis, or processing details, preventing assessment of whether the phase imaging measurements support the stated claim of accurate pressure evaluation.
  2. [Methods/Results] The central claim requires that quantitative phase imaging of wall deformation yields accurate pressure values inside the channel. This step implicitly assumes a forward model (analytical plate theory or FEM) that maps observed height change to pressure using fixed values for Young's modulus, Poisson ratio, wall thickness, and channel geometry. No calibration against an independent pressure sensor on the same device or sensitivity analysis appears to be described.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments on our manuscript. We address each major comment below and indicate the revisions made.

read point-by-point responses
  1. Referee: [Abstract] Abstract: The abstract asserts a demonstration of real-time measurements and high sensitivity but supplies no quantitative data, validation results, error analysis, or processing details, preventing assessment of whether the phase imaging measurements support the stated claim of accurate pressure evaluation.

    Authors: We agree that the abstract would benefit from quantitative details to support the claims. In the revised manuscript we have expanded the abstract to include specific metrics such as the demonstrated sensitivity (sub-nanometer height resolution corresponding to pressure sensitivity on the order of 1 Pa), real-time acquisition rate, field of view size, and a reference to the validation and error analysis presented in the results section. revision: yes

  2. Referee: [Methods/Results] The central claim requires that quantitative phase imaging of wall deformation yields accurate pressure values inside the channel. This step implicitly assumes a forward model (analytical plate theory or FEM) that maps observed height change to pressure using fixed values for Young's modulus, Poisson ratio, wall thickness, and channel geometry. No calibration against an independent pressure sensor on the same device or sensitivity analysis appears to be described.

    Authors: The manuscript employs an analytical thin-plate model with literature values for PDMS elastic constants and measured channel geometry. We acknowledge the absence of direct experimental calibration against an independent sensor on the identical device. In revision we have added a dedicated sensitivity analysis quantifying the effect of uncertainties in Young's modulus, Poisson ratio, and wall thickness on the inferred pressure, together with an error-propagation estimate. Direct on-device calibration experiments were outside the scope of the reported study; we now explicitly note this limitation and suggest it as future work. revision: partial

Circularity Check

0 steps flagged

No significant circularity; experimental demonstration with no derivation chain.

full rationale

The provided text (abstract and description) contains no equations, fitted parameters, predictions, or self-citations. The work is a measurement demonstration using quantitative phase imaging of PDMS deformation. No load-bearing step reduces by construction to inputs, self-definition, or author-specific uniqueness theorems. The conversion from phase to pressure is noted as an assumption but is not presented as a derived result within the paper's own chain.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review provides no information on free parameters, axioms, or invented entities.

pith-pipeline@v0.9.0 · 5618 in / 905 out tokens · 24770 ms · 2026-05-25T03:00:14.924342+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

42 extracted references · 42 canonical work pages

  1. [1]

    Pressure measurement methods in microchannels: advances and applications,

    F. Shen and al., “Pressure measurement methods in microchannels: advances and applications,” Microfluid. Nanofluidics36, 25–39 (2021)

  2. [2]

    30 years of microfluidics,

    N. Convery and N. Gadegaard, “30 years of microfluidics,” Micro Nano Eng.2, 76–91 (2019)

  3. [3]

    Human organs-on-chips for disease modelling, drug development and personalized medicine,

    D. E. Ingber, “Human organs-on-chips for disease modelling, drug development and personalized medicine,” Nat. Rev. Genet.23, 467–491 (2022)

  4. [4]

    The deformation of flexible PDMS microchannels under a pressure driven flow,

    B. S. Hardy, K. Uechi, J. Zhen, and H. P. Kavehpour, “The deformation of flexible PDMS microchannels under a pressure driven flow,” Lab on a Chip9, 935–938 (2009)

  5. [5]

    Flow-induced deformation of compliant microchannels and its effect on pressure–flow characteristics,

    A. Raj and A. K. Sen, “Flow-induced deformation of compliant microchannels and its effect on pressure–flow characteristics,” Microfluid. Nanofluidics20, 31 (2016)

  6. [6]

    Optofluidic pressure sensor based on interferometric imaging,

    W. Song and D. Psaltis, “Optofluidic pressure sensor based on interferometric imaging,” Opt. Lett.35, 3604–3606 (2010)

  7. [7]

    Optofluidic membrane interferometer: An imaging method for measuring microfluidic pressure and flow rate simultaneously on a chip,

    W. Song and D. Psaltis, “Optofluidic membrane interferometer: An imaging method for measuring microfluidic pressure and flow rate simultaneously on a chip,” Biomicrofluidics5, 044110 (2011)

  8. [8]

    Non-invasive pressure sensing in microfluidic chips using laser interferometry,

    A. Kamruzzaman, Y. A. Koksal, X. Yin,et al., “Non-invasive pressure sensing in microfluidic chips using laser interferometry,” inSmart Structures and NDE for Energy Systems and Industry 4.0,vol. 10973 N. G. Meyendorf, K. Gath, and C. Niezrecki, eds., International Society for Optics and Photonics (SPIE, 2019), p. 109730M

  9. [9]

    Pressure drop of slug flow in microchannels with increasing void fraction: experiment and modeling,

    S. Molla, D. Eskin, and F. Mostowfi, “Pressure drop of slug flow in microchannels with increasing void fraction: experiment and modeling,” Lab on a Chip11, 1968–1978 (2011)

  10. [10]

    On-channel integrated optofluidic pressure sensor with optically boosted sensitivity,

    N. Gaber, A. Altayyeb, S. A. Soliman,et al., “On-channel integrated optofluidic pressure sensor with optically boosted sensitivity,” Sensors19(2019)

  11. [11]

    Optofluidics refractometers,

    C. Li, G. Bai, Y. Zhang,et al., “Optofluidics refractometers,” Micromachines9(2018)

  12. [12]

    Ultrasensitive optofluidic resonator refractive index sensor

    Z. yuan Xiao, H. Dai, and X. Chen, “Ultrasensitive optofluidic resonator refractive index sensor.” Opt. letters43 17, 4216–4219 (2018)

  13. [13]

    Color-switching hydrogels as integrated microfluidic pressure sensors,

    L. Ducloué, M. A. Haque, M. Goral,et al., “Color-switching hydrogels as integrated microfluidic pressure sensors,” Sci. Reports14(2024)

  14. [14]

    Flow-induced deformation of shallow microfluidic channels,

    T. Gervais, J. El-Ali, A. Günther, and K. F. Jensen, “Flow-induced deformation of shallow microfluidic channels,” Lab on a Chip6, 500 (2006)

  15. [15]

    Multiplex pressure measurement in microsystems using volume displacement of particle suspensions,

    K. Chung, H. Lee, and H. Lu, “Multiplex pressure measurement in microsystems using volume displacement of particle suspensions,” Lab on a Chip9, 3345 (2009)

  16. [16]

    Remote sensing of pressure inside deformable microchannels using light scattering in Scotch tape,

    K. Kim, H. Yu, J. Koh,et al., “Remote sensing of pressure inside deformable microchannels using light scattering in Scotch tape,” Opt. Lett. Vol. 41, Issue 8, pp. 1837-1840 (2016)

  17. [17]

    Optical fiber fabry–pérot microfluidic sensor based on capillary fiber and side illumination method,

    S. Wu, N. Lv, Y. Geng,et al., “Optical fiber fabry–pérot microfluidic sensor based on capillary fiber and side illumination method,” Sensors (Basel, Switzerland)23(2023)

  18. [18]

    Achromatic three-wave (or more) lateral shearing interferometer,

    J. Primot and L. Sogno, “Achromatic three-wave (or more) lateral shearing interferometer,” J. Opt. Soc. Am. A12, 2679–2685 (1995)

  19. [19]

    Quadriwave lateral shearing interferometry for quantitative phase microscopy of living cells,

    P. Bon, G. Maucort, B. Wattellier, and S. Monneret, “Quadriwave lateral shearing interferometry for quantitative phase microscopy of living cells,” Opt. Express17, 13080–13094 (2009)

  20. [20]

    Quantitative phase microscopies: accuracy comparison,

    P. C. Chaumet, P. Bon, G. Maire,et al., “Quantitative phase microscopies: accuracy comparison,” Light. Sci. & Appl. 13(2024)

  21. [21]

    Theoretical description of Shack–Hartmann wave-front sensor,

    J. Primot, “Theoretical description of Shack–Hartmann wave-front sensor,” Opt. Commun.222, 81–92 (2003)

  22. [22]

    Complex refractive indices measurements of polymers in visible and near-infrared bands,

    X. Zhang, J. Qiu, X. Li,et al., “Complex refractive indices measurements of polymers in visible and near-infrared bands,” Appl. Opt.59, 2337 (2020)

  23. [23]

    Large elastic deformations of isotropic materials. II. Some uniqueness theorems for pure, homogeneous deformation,

    R. S. Rivlin, “Large elastic deformations of isotropic materials. II. Some uniqueness theorems for pure, homogeneous deformation,” Philos. Trans. Royal Soc. London. Ser. A, Math. Phys. Sci.240, 491–508 (1948)

  24. [24]

    Comprehensive constitutive modeling and analysis of multi-elastic polydimethylsiloxane (PDMS) for wearable device simulations,

    N. A. Zulkifli, G. D. Moon, D. C. Hyun, and S. Lee, “Comprehensive constitutive modeling and analysis of multi-elastic polydimethylsiloxane (PDMS) for wearable device simulations,” Sci. Reports13, 18413 (2023)

  25. [25]

    Facile determination of the poisson’s ratio and young’s modulus of polyacrylamide gels and polydimethylsiloxane,

    A. M. Smith, D. G. Inocencio, B. M. Pardi,et al., “Facile determination of the poisson’s ratio and young’s modulus of polyacrylamide gels and polydimethylsiloxane,” ACS Appl. Polym. Mater.6, 2405–2416 (2024)

  26. [26]

    EffectsofnaturalagingonhydrophilicityandmechanicalpropertiesofPDMSinvarious storage environments,

    S.ZhangandA.E.Staples,“EffectsofnaturalagingonhydrophilicityandmechanicalpropertiesofPDMSinvarious storage environments,” npj Mater. Degrad.9, 109 (2025)

  27. [27]

    Effect of pressure and temperature on the refractive indices of benzene, carbon tetrachloride, and water,

    R. Waxler and C. Weir, “Effect of pressure and temperature on the refractive indices of benzene, carbon tetrachloride, and water,” JOURNAL OF RESEARCH National Bureau Stand.67A(1963)

  28. [28]

    Investigating the mechanical and optical properties of thin pdms film by flat-punched indentation,

    J. S. Park, R. Cabosky, Z. Ye, and I. I. Kim, “Investigating the mechanical and optical properties of thin pdms film by flat-punched indentation,” Opt. Mater. (2018)

  29. [29]

    Effect of mechanical stress on optical properties of polydimethylsiloxane II – Birefringence,

    N. Tarjányi, I. Turek, and I. Martinček, “Effect of mechanical stress on optical properties of polydimethylsiloxane II – Birefringence,” Opt. Mater.37, 798–803 (2014)

  30. [30]

    Effect of mechanical stress on optical properties of polydimethyl- siloxane,

    I. Turek, N. Tarjányi, I. Martincek, and D. Kacik, “Effect of mechanical stress on optical properties of polydimethyl- siloxane,” Opt. Mater.36, 965–970 (2014)

  31. [31]

    M. Born, E. Wolf, A. B. Bhatia,et al.,Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light(Cambridge University Press, 1999), 7th ed

  32. [32]

    A new fabrication method for all-PDMS waveguides,

    Z. Cai, W. Qiu, G. Shao, and W. Wang, “A new fabrication method for all-PDMS waveguides,” Sensors Actuators A: Phys.204, 44–47 (2013)

  33. [33]

    PDMSsamplescharacterization with variations of synthesis parameters for tunable optics applications,

    A.S.Cruz-Félix,A.Santiago-Alvarado,J.Márquez-García,andJ.González-García,“PDMSsamplescharacterization with variations of synthesis parameters for tunable optics applications,” Heliyon5, e03064 (2019)

  34. [34]

    Recent advances in pdms optical waveguides: Properties, fabrication, and applications,

    C. Zimmermann, K. Amouzou, and B. Ung, “Recent advances in pdms optical waveguides: Properties, fabrication, and applications,” Adv. Opt. Mater.12, 2401975 (2025)

  35. [35]

    High-definition quadriwave lateral shearing interferometry,

    B. Wattellier, A. Saintoyant, J. Savatier,et al., “High-definition quadriwave lateral shearing interferometry,” J. Opt. Soc. Am. A41, C99–C108 (2024)

  36. [36]

    Intermittent air invasion in pervaporating compliant microchannels,

    L. Keiser, P. Marmottant, and B. Dollet, “Intermittent air invasion in pervaporating compliant microchannels,” J. Fluid Mech.948, A52 (2022)

  37. [37]

    Nonlinear phenomena in microfluidics,

    S. Battat, D. A. Weitz, and G. M. Whitesides, “Nonlinear phenomena in microfluidics,” Chem. Rev.122, 6921–6937 (2022)

  38. [38]

    Spontaneous oscillations and negative-conductance transitions in microfluidic networks,

    D. J. Case, J.-R. Angilella, and A. E. Motter, “Spontaneous oscillations and negative-conductance transitions in microfluidic networks,” Sci. Adv.6, eaay6761 (2020)

  39. [39]

    Unidirectionalflowfromcontinuousbrokensymmetries,

    A.Winn,J.Parmentier,E.Katifori,andM.Brandenbourger,“Unidirectionalflowfromcontinuousbrokensymmetries,” arXiv preprint arXiv:2603.27474 (2026)

  40. [40]

    Spontaneous emergence of solitary waves in active flow networks,

    R. F.-Q. García, G. C. Antunes, J. Harting,et al., “Spontaneous emergence of solitary waves in active flow networks,” arXiv preprint arXiv:2511.13448 (2025)

  41. [41]

    Passive control of viscous flow via elastic snap-through,

    M. Gomez, D. E. Moulton, and D. Vella, “Passive control of viscous flow via elastic snap-through,” Phys. review letters119, 144502 (2017)

  42. [42]

    Tunable flow asymmetry and flow rectification with bio-inspired soft leaflets,

    M. Brandenbourger, A. Dangremont, R. Sprik, and C. Coulais, “Tunable flow asymmetry and flow rectification with bio-inspired soft leaflets,” Phys. Rev. Fluids5, 084102 (2020)