High-frequency temperature pulse-response behavior through a porous nanocomposite scaffold for measuring the uptake of biological fluids

Christophe Minetti; Carlo S. Iorio; Hatim Machrafi; Christophe Minetti; Carlo S. Iorio; Hatim Machrafi

doi:10.3934/mbe.2019245

Mathematical Biosciences and Engineering

2019, Volume 16, Issue 5: 4873-4884. doi: 10.3934/mbe.2019245

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High-frequency temperature pulse-response behavior through a porous nanocomposite scaffold for measuring the uptake of biological fluids

1.
Service Chimie-Physique, Université libre de Bruxelles, Brussels, Belgium
2.
GIGA-In Silico Medicine, Université de Liège, Liège, Belgium

Received: 20 December 2018 Accepted: 06 May 2019 Published: 29 May 2019

The measurement of biological fluid uptake into a scaffold sensor has been modeled by measuring the response of induced high-frequency temperature pulses. For this, a heat transport equation is used, developed from Extended Thermodynamics, also equivalent to Cattaneo's equation, as well as an effective thermal conductivity. The effective thermal conductivity is experimentally validated against data measurements of a carbon nanotube porous nanocomposite, embedded with silica nanoparticles. This nanocomposite serves also as the case study for the scaffold sensor. The uptake of the biological fluid in this scaffold sensor is equivalent to a change in the effective thermal conductivity, monitored by an increase of the interstitial volume fraction. By imposing a high-frequency temperature oscillation, the temperature response at the other end of the porous medium is calculated. Depending on the ratio of the relaxation time and the thermal diffusion time, the temperature response can be of oscillatory nature or of an exponential growth to an asymptotic limit. It is observed that an observed phase lag in the temperature response indicates a change in the effective thermal conductivity and thus is a criterion denoting the amount of uptake.
- high-frequency pulse-response,
- extended thermodynamics,
- self-assembled porous nanocomposite,
- biological fluid uptake,
- relaxation time
Citation: Christophe Minetti, Carlo S. Iorio, Hatim Machrafi. High-frequency temperature pulse-response behavior through a porous nanocomposite scaffold for measuring the uptake of biological fluids[J]. Mathematical Biosciences and Engineering, 2019, 16(5): 4873-4884. doi: 10.3934/mbe.2019245

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Abstract

The measurement of biological fluid uptake into a scaffold sensor has been modeled by measuring the response of induced high-frequency temperature pulses. For this, a heat transport equation is used, developed from Extended Thermodynamics, also equivalent to Cattaneo's equation, as well as an effective thermal conductivity. The effective thermal conductivity is experimentally validated against data measurements of a carbon nanotube porous nanocomposite, embedded with silica nanoparticles. This nanocomposite serves also as the case study for the scaffold sensor. The uptake of the biological fluid in this scaffold sensor is equivalent to a change in the effective thermal conductivity, monitored by an increase of the interstitial volume fraction. By imposing a high-frequency temperature oscillation, the temperature response at the other end of the porous medium is calculated. Depending on the ratio of the relaxation time and the thermal diffusion time, the temperature response can be of oscillatory nature or of an exponential growth to an asymptotic limit. It is observed that an observed phase lag in the temperature response indicates a change in the effective thermal conductivity and thus is a criterion denoting the amount of uptake.

References

[1]	H. Machrafi and G. Lebon, Size and porosity effects on thermal conductivity of nanoporous material with an extension to nanoporous particles embedded in a host matrix, Phys. Lett. A, 379 (2015), 968–973.
[2]	V. Jean, S. Fumeron, K. Termentzidis, et al., Monte Carlo simulations of phonon transport in nanoporous silicon and germanium, J. Appl. Phys., 115 (2014), 024304.
[3]	H. Machrafi, C. Minetti, V. Miskovic, et al., Self-assembly of carbon nanotube-based composites by means of evaporation-assisted depositions: Importance of drop-by-drop self-assembly on material properties, Mat. Chem. Phys., 218 (2018), 1–9.
[4]	L. J. Ke, G. Z. Gao, Y. Shen, et al., Encapsulation of aconitine in self-assembled licorice protein nanoparticles reduces the toxicity in vivo, Nanosc. Res. Lett., 10 (2015), 449.
[5]	C. C. B. Bufon, J. D. C. González, D. J. Thurmer, et al., Self-assembled ultra-compact energy storage elements based on hybrid nanomembranes, Nano Lett., 10 (2010), 2506–2510.
[6]	G. W. Hsieh, P. Beecher, F. M. Li, et al., Formation of composite organic thin film transistors with nanotubes and nanowires, Physica E, 40 (2008), 2406–2413.
[7]	J. Ding, X. Li, X. Wang, et al., Pressure-assisted self-assembly technique for fabricating composite membranes consisting of highly ordered selective laminate layers of amphiphilic graphene oxide, Carbon, 68 (2014), 670–677.
[8]	K. K. Rangharajan, K. J. Kwak, A. T. Conlisk, et al., Effect of surface modification on interfacial nanobubble morphology and contact line tension, Soft Mat., 11 (2015), 5214–5223.
[9]	B. G. Prevo, D. M. Kuncicky and O. D. Velev, Engineered deposition of coatings from nano- and microparticles: A brief review of convective assembly at high volume fraction, Coll. Surf. A: Physicochem. Eng. Asp., 311 (2007), 2–10.
[10]	R. Zhang, T. A. Elkhooly, Q. Huang, et al., A dual-layer macro/mesoporous structured TiO₂ surface improves the initial adhesion of osteoblast-like cells, Mat. Sci. Eng. C, 78 (2017), 443–451.
[11]	D. Wang, S. Liu, B. J. Trummer, et al., Carbohydrate microarrays for the recognition of cross reactive molecular markers of microbes and host cells, Nat. Biotech., 20 (2002), 275–281.
[12]	I. I. Smalyukh, O. V. Zribi, J. C. Butler, et al., Structure and dynamics of liquid crystalline pattern formation in drying droplets of DNA, Phys. Rev. Lett., 96 (2006), 177801.
[13]	H. Machrafi and G. Lebon, General constitutive equations of heat transport at small length scales and high frequencies with extension to mass and electrical charge transport, Appl. Math. Lett., 52 (2016), 30–37.
[14]	H. Machrafi, An extended thermodynamic model for size-dependent thermoelectric properties at nanometric scales: Application to nanofilms, nanocomposites and thin nanocomposite films, Appl. Math. Mod., 40 (2016), 2143–2160.
[15]	S. Sinha, S. Barjami, G. Iannacchione, et al., Off-axis thermal properties of carbon nanotube ﬁlms, J. Nanopart. Res., 7 (2005), 651–657.
[16]	J. Hone, Phonons and thermal properties of carbon nanotubes, Carbon Nanotubes. Topics in Applied Physics (eds M.S. Dresselhaus, G. Dresselhaus and P. Avouris), 80 (2001), 273–286.
[17]	Z. Y. Ong and E. Pop, Molecular dynamics simulation of thermal boundary conductance between carbon nanotubes and SiO₂, Phys. Rev. B, 81 (2010), 155408.
[18]	C. Cattaneo, Sulla conduzione del calore, Atti Sem. Mat. Fis. Univ. Mod., 3 (1948), 83–101.

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