CNRS Research Scientist (LMGC, Biotic Research Group)

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Research

Biological tissues can be considered as deformable three-dimensional porous media, hierarchically composed of cell phases, extra-cellular matrix, fibers or porous skeleton through which interstitial fluids circulate. Furthermore, protein concentration, electrical or thermal gradients may be intimately linked to fluid flow and mechanical strain fields. Thus, biological structures are inherently of highly complex and multiscale nature.  Indeed, multiphysics and multiple lengths aspects from organs to cells or macro-micro-nano phenomena can be depicted. Time scales also play a significant role in tissue morphogenesis or degeneration and pathology developments. Therefore, there is considerable potential and promise in the use of multiscale modelling of these complex phenomena across different space and time scales, particularly in its potential to enable the discovery of new scientific knowledge and to enhance clinical decision-making and therapy. Exploration of scales is motivated by the desire to understand biophysical phenomena of molecules, cells, tissues, organs, when affected by short-scale (e.g. injury) and long-scale (e.g. growth, ageing and evolutive pathologies) temporal changes. Moreover, advances in imaging provide increasingly more information at smaller and smaller scales. Yet, there is a growing need to integrate this expanding knowledge base with that at higher scales. Therefore, seeking multiscale models for biological tissues that are inherently complex, is an exciting and useful multidisciplinary pursuit.

My broad goal is to develop, validate and use multiscale biomechanical and mechabiological  models obtained by homogenisation, for describing the behaviour and the growth of cartilaginous tissues, fibrous membranes and tumors. These theoretical works are carried out in parallel with experimental studies coupled with imaging performed by co-workers, in close collaboration with biologists and clinicians.

This research is financially supported (2018-2020) by CNRS (AAP « Osez l’Interdisciplinarité ! 2018 », Motiv Project).

Articles in peer-reviewed journals

P. Royer: Advection-diffusion in porous media with low scale separation: modelling via higher-order asymptotic homogenization,  Transport in Porous Media, 128 (2), 511-551, (2019). <hal-01925995>

P. Royer, P. Recho, C. Verdier: On the quasi-static effective behaviour of poroelastic media containing elastic inclusions, Mechanics Research Communication, 96, 19-23,(2019).<hal-01930338v2>

P. Royer: Low scale separation induces modification of apparent solute transport regime in porous media, Mechanics Research Communication, 87, 29-34, (2018).<hal-01667675>.

P. Royer, F. Cherblanc: Corrigendum to “Homogenisation of advective–diffusive transport in poroelastic media” [Mech. Res. Commun. 37 (2010) 133–136],  Mechanics Research Communication,  73, 145-147, (2016). <hal-01512650>

C. Boutin, P. Royer: On models of double porosity poroelastic media, Geophysical Journal International, 203 (3), 1, 1694–1725 (2015). <hal-01239441>

D. Dureisseix, P. Royer, B. Faverjon: Numerization of a memory effect for an homogenized composite material with a large contrast in the phase thermal conductivities, International Journal of Heat and Mass Transfer, 90, 140-148, (2015). <hal-01171181>

A. Baldit, D. Ambard, F. Cherblanc, P. Royer: Annulus fibrosus microstructure: an explanation to local heterogeneities, Computer Methods in Biomechanics and Biomedical Engineering, 17 (sup1), 38-39, (2014). <hal-01219449>

A. Baldit, D. Ambard, F. Cherblanc, P. Royer: Experimental analysis of the transverse mechanical behaviour of annulus fibrosus tissue, Biomechanics and Modeling in Mechanobiology 28 (3), :643-652, (2014). <hal-00862690>

A. Baldit, D. Ambard, F. Cherblanc, P. Royer: Mechanical behaviour of annulus fibrosus tissue: Identification of a poro-hyper-elastic model from experimental measurements, Computer Methods in Biomechanics and Biomedical Engineering, 16 (sup1), 280-281, (2013). <hal-00816357>

P. Royer, C. Boutin: Time Analysis of the Three Characteristic Behaviours of Dual-Porosity Media. I: Fluid Flow and Solute Transport, Transport in Porous Media, 95 (3), 603–626, (2012). <hal-00786967>

P. Royer, F. Cherblanc: Homogenisation of advective-diffusive transport in poroelastic media, Mechanics Research Communications, 37 (2), 133-136, (2010).<hal-01512642>

J.-L. Auriault, J. Lewandowska, P. Royer: On non-Fickian hyperbolic diffusion, Studia Geotechnica et Mechanica, 30 (1-2), 139-146 (2008). <hal-01716029>

J. Chastanet, P. Royer, J.-L. Auriault: Flow of low pressure gas through dual-porosity media, Transport in Porous Media, 66 (3), 457-479, (2007). <hal-00582929>

C. Geindreau, E. Sawicki, J.-L. Auriault, P. Royer: About Darcy’s law in non‐Galilean frame, International Journal for Numerical and Analytical Methods in Geomechanics, 28 (3), 229-249, (2004). <hal-01918286>

J.  Chastanet, P. Royer, J.-L. Auriault: Acoustics with wall-slip flow of gas-saturated porous media, Mechanics Reserach Communications, 31 (3),
277-286, (2003). <hal-01715870>

P. Royer, J.L. Auriault, J. Lewandowska, C.Serres: Contaminant transport in fractured porous media, Studia Geotechnica et Mechanica, XXV (1-2), 171-180, (2003). <hal-01715854>

J. Lewandowska, J.L. Auriault, S. Empereur, P. Royer : Solute diffusion in fractured porous media with memory effects due to adsorption, Comptes Rendus à l’Académie des Sciences, Mécanique, 330 (12), 879-884, (2002). <hal-01715460>

P. Royer, J.L. Auriault, J. Lewandowska, C.Serres: Continuum modelling of contaminant transport in fractured porous media, Transport in Porous
Media, 49 (3), 333-359, (2002). <hal-01715450>

J.L. Auriault, C. Geindreau, P. Royer: Coriolis effects on Filtration law in rotating porous media, Transport in Porous Media, 48, 315-330, (2002).

J.L. Auriault, P. Royer, C. Geindreau: Filtration law for power-law fluids in anisotropic porous media, International Journal of Engineering science, 40 (10), 1151-1163, (2002).

J.L. Auriault, C. Boutin, P. Royer, D. Schmitt: Acoustics of a porous medium saturated by a bubbly fluid undergoing phase change, Transport in Porous Media, 46 (1), 43-76, (2002). <hal-00941002>

J.L. Auriault, P. Royer : Seismic waves in fractured porous media, Geophysics, 67 (1), 259-263, (2001). <hal-01715429>

J.L. Auriault, C. Geindreau, P. Royer: Filtration law in rotating porous media, CRAS, série IIb vol.328, 779-784, (2000).

B. Khuzhayorov, J.L. Auriault, P. Royer : Derivation of Macroscopic Filtration Law for Transient Linear Viscoelastic Fluid Flow, International
Journal of Engineering Science, 38, 487-504, (2000). <hal-01714089>

P. Royer, J.L. Auriault: Homogenization of Compressible Fluid Flow in Porous Media with Interfacial Flow Barrier. Archives of Mechanics, 51 (3-4), 469-486, (1999). <hal-01714047>

C. Boutin, P. Royer, J.L. Auriault: Acoustic Absorption of Porous Surfacing with Dual Porosity, International Journal of Solids and Structures, Special Issue on Poroelasticity, 35, 4709-4737, (1998). <hal-01714038>

P. Royer, J.L. Auriault, C. Boutin: Reply to: Macroscopic Modeling of Double-Porosity Reservoirs by M. Bai and F. Civan, Journal of Petroleum Science and Engineering, 20, 89-92, (1998). <hal-01713995>

P. Royer, J.L. Auriault, T. Strzelecki : Macroscopic Behavior of Gas Flow with Adsorption through a Fractured Porous Medium, Mechanics Research Communication, 23 (1), 67-73, (1996). <hal-01713983>

P. Royer, J.L. Auriault, C. Boutin: Macroscopic Modeling of Double-Porosity Reservoirs, Journal of Petroleum Science and Engineering, 16, 187-202, (1996). <hal-01713974>

P. Royer, J.L. Auriault, C. Boutin: Contribution de l’homogénéisation à l’étude de la filtration d’un fluide en milieu poreux fracturé, Revue de l’Institut Français du pétrole, 3, 337-352, (1995). <hal-01713666>

P. Royer, J.L. Auriault: Transient Quasi-Static Gas Flow through a Rigid Porous Medium with Double Porosity, Transport in Porous Media, 17, 33-57, (1994).<hal-01713395>

J.L. Auriault, P. Royer: Ecoulement d’un gaz dans un milieu poreux à double porosité, Compte rendu à l’Académie des Sciences, Paris, 317 (II), 431-436, (1993).<hal-01713578>

J.L. Auriault, P. Royer: Double Conductivity Media: A Comparison between Phenomenological and Homogenization Approaches, International Journal of Heat and Mass Transfer, 36 (10), 2613-2621, (1993). <hal-01713562>

P. Royer, J.L. Auriault: Very Compressible Fluid Flow through a Porous Medium with Double Porosity, Studia Geotechnica et Mechanica, 13 (1-2), 65-77, (1992). <hal-01713431>