Optimizing hyaluronidase dose and plasmid DNA delivery greatly improves gene electrotransfer efficiency in rat skeletal muscle, Biochemistry and Biophysics Reports, vol.4, 2015. ,
DOI : 10.1016/j.bbrep.2015.10.007
A mathematical model of sulphite chemical aggression of limestones with high permeability. Part I. Modeling and qualitative analysis, Transport in Porous Media, pp.109-122, 2007. ,
The mathematics of cancer: integrating quantitative models, Nature Reviews Cancer, vol.28, issue.12, pp.730-745, 2015. ,
DOI : 10.1126/scitranslmed.3002356
Infiltration through deformable porous media. ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik, Journal of Applied Mathematics and Mechanics, vol.82, issue.2, pp.115-124, 2002. ,
DOI : 10.1002/1521-4001(200202)82:2<115::aid-zamm115>3.0.co;2-4
DNA electrotransfer: its principles and an updated review of its therapeutic applications, Gene Therapy, vol.11, issue.1, pp.33-42, 2004. ,
DOI : 10.1038/sj.gt.3302367
Selected Topics in Cancer Modeling: Genesis, Evolution, Immune Competition, and Therapy, chapter Multiphase Models of Tumour Growth, pp.1-31 ,
Unsteady flow induced deformation of porous materials, International Journal of Non-Linear Mechanics, vol.26, issue.5, pp.687-699, 1991. ,
DOI : 10.1016/0020-7462(91)90020-T
Flow and deformation in poroelasticity???I unusual exact solutions, Mathematical and Computer Modelling, vol.30, issue.9-10, pp.9-1023, 1999. ,
DOI : 10.1016/S0895-7177(99)00177-6
Interstitial pressure, volume, and flow during infusion into brain tissue, Microvascular Research, vol.44, issue.2, pp.143-165, 1992. ,
DOI : 10.1016/0026-2862(92)90077-3
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.467.8234
Linear constitutive relations in isotropic finite elasticity, Journal of Elasticity. The Physical and Mathematical Science of Solids, vol.51, issue.3, pp.243-245, 1998. ,
DOI : 10.1016/s0020-7462(00)00057-3
The impact of extracellular matrix on the chemoresistance of solid tumors ??? experimental and clinical results of hyaluronidase as additive to cytostatic chemotherapy, Cancer Letters, vol.131, issue.1, pp.1-2, 1998. ,
DOI : 10.1016/S0304-3835(98)00204-3
Transport of fluid and macromolecules in tumors. I. Role of interstitial pressure and convection. Microvascular research, 1989. ,
Introduction to Modeling of Transport Phenomena in Porous Media, 1990. ,
DOI : 10.1007/978-94-009-1926-6
General Theory of Three???Dimensional Consolidation, Journal of Applied Physics, vol.12, issue.2, p.155, 1941. ,
DOI : 10.1063/1.1712886
URL : https://hal.archives-ouvertes.fr/hal-01368635
On the Infusion of a Therapeutic Agent Into a Solid Tumor Modeled as a Poroelastic Medium, Journal of Biomechanical Engineering, vol.134, issue.8, p.84501, 2012. ,
DOI : 10.1115/1.4007174
Interstitial Pressure Gradients in Tissue-isolated and Subcutaneous Tumors: Implications for Therapy, Cancer research, vol.50, issue.15, pp.4478-4484, 1990. ,
Incompressible porous media models by use of the theory of mixtures, International Journal of Engineering Science, vol.18, issue.9, pp.1129-1148, 1980. ,
DOI : 10.1016/0020-7225(80)90114-7
Hyaluronidase reduces the interstitial fluid pressure in solid tumours in a non-linear concentration-dependent manner. Cancer letters, pp.65-70, 1998. ,
Hyaluronidase: from clinical applications to molecular and cellular mechanisms, European Journal of Medical Research, vol.109, issue.6, p.5, 2016. ,
DOI : 10.1186/s40001-016-0201-5
Intramuscular plasmid DNA electrotransfer, Biochimica et Biophysica Acta (BBA) - Gene Structure and Expression, vol.1676, issue.2, 2004. ,
DOI : 10.1016/j.bbaexp.2003.11.005
Mathematical modelling of the loss of tissue compression responsiveness and its role in solid tumour development. Mathematical medicine and biology : a journal of the IMA, pp.197-229, 2006. ,
Computational methods for multiphase flows in porous media, Computational Science & Engineering. Society for Industrial and Applied Mathematics (SIAM), 2006. ,
DOI : 10.1137/1.9780898718942
Strategies to Increase Drug Penetration in Solid Tumors, Frontiers in Oncology, vol.3, p.193, 2013. ,
DOI : 10.3389/fonc.2013.00193
URL : http://doi.org/10.3389/fonc.2013.00193
Nuclear magnetic resonance measurement of skeletal muscle: anisotrophy of the diffusion coefficient of the intracellular water, Biophysical Journal, vol.16, issue.9, pp.1043-1053, 2011. ,
DOI : 10.1016/S0006-3495(76)85754-2
Toward realistic soft-tissue modeling in medical simulation, Proceedings of the IEEE, 1998. ,
DOI : 10.1109/5.662876
Collagenase Increases the Transcapillary Pressure Gradient and Improves the Uptake and Distribution of Monoclonal Antibodies in Human Osteosarcoma Xenografts, Cancer Research, vol.64, issue.14, pp.4768-4773, 2004. ,
DOI : 10.1158/0008-5472.CAN-03-1472
Hyaluronidase induces a transcapillary pressure gradient and improves the distribution and uptake of liposomal doxorubicin (Caelyx???) in human osteosarcoma xenografts, British Journal of Cancer, vol.54, issue.1, pp.81-88, 2005. ,
DOI : 10.1002/(SICI)1097-0142(19990701)86:1<72::AID-CNCR12>3.0.CO;2-1
Effect of collagenase and hyaluronidase on free and anomalous diffusion in multicellular spheroids and xenografts, Anticancer research, vol.30, issue.2, pp.359-368, 2010. ,
Gene transfer: how can the biological barriers be overcome? The Journal of membrane biology, pp.61-74, 2010. ,
Multiphysics Finite Element Methods for a Poroelasticity Model. arXiv.org, 2014. ,
The extracellular matrix at a glance, Journal of Cell Science, vol.123, issue.24, pp.4195-4200, 2010. ,
DOI : 10.1242/jcs.023820
Biomechanics: mechanical properties of living tissues, 1981. ,
Mathematical Modeling of a Solid-Liquid Mixture with Mass Exchange Between Constituents, Mathematics and Mechanics of Solids, vol.11, issue.6, pp.575-595, 2006. ,
DOI : 10.1177/1081286506052339
Intratumoral coadministration of hyaluronidase enzyme and oncolytic adenoviruses enhances virus potency in metastatic tumor models. Clinical cancer research : an official journal of the American Association for, Cancer Research, vol.14, issue.12, pp.3933-3941, 2008. ,
The magic glue hyaluronan and its eraser hyaluronidase: A biological overview, Life Sciences, vol.80, issue.21, pp.1921-1943, 2007. ,
DOI : 10.1016/j.lfs.2007.02.037
Enhanced cognitive flexibility in reversal learning induced by removal of the extracellular matrix in auditory cortex, Proceedings of the National Academy of Sciences, vol.111, issue.7, pp.1112800-2805, 2014. ,
DOI : 10.1073/pnas.1310272111
New development in freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, 2012. ,
DOI : 10.1515/jnum-2012-0013
Mechanisms of Heterogeneous Distribution of Monoclonal Antibodies and Other Macromolecules in Tumors: Significance of Elevated Interstitial Pressure, Cancer research, vol.4824, issue.1, pp.7022-7032, 1988. ,
Reconstitution of Dermal Connective Tissue Barrier after Testicular or Bacterial Hyaluronidase., Acta Pharmacologica et Toxicologica, vol.59, issue.Nr. 13, pp.96-108, 1956. ,
DOI : 10.1111/j.1600-0773.1956.tb01365.x
Challenges to macromolecular drug delivery, Biochemical Society Transactions, vol.35, issue.1, pp.41-43, 2007. ,
DOI : 10.1042/BST0350041
Effects of hyaluronidase on doxorubicin penetration into squamous carcinoma multicellular tumor spheroids and its cell lethality, Journal of Cancer Research and Clinical Oncology, vol.37, issue.Suppl 175, pp.293-297, 1994. ,
DOI : 10.1007/BF01236386
Mathematical modelling of blood-brain barrier failure and oedema. Mathematical medicine and biology : a journal of the IMA, 2016. ,
A poroelastic model of mechanobiological processes in tissue engieering. part i : Mathematical formulation. doi: arXiv:1512 Under review in, Journal of Mathematical Biology, p.2182, 2015. ,
Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory, Journal of Mathematical Biology, vol.52, issue.5, pp.571-594, 2006. ,
DOI : 10.1007/s00285-005-0363-1
Ultrasound propagation in anisotropic soft tissues: The application of linear elastic theory, Journal of Biomechanics, vol.20, issue.3, pp.251-260, 1987. ,
DOI : 10.1016/0021-9290(87)90292-2
Enhanced macromolecule diffusion deep in tumors after enzymatic digestion of extracellular matrix collagen and its associated proteoglycan decorin, The FASEB Journal, vol.22, issue.1, pp.276-284, 2008. ,
DOI : 10.1096/fj.07-9150com
Drug penetration in solid tumours, Nature Reviews Cancer, vol.23, issue.1, 2006. ,
DOI : 10.1038/nrc1893
Fluid transport and mechanical properties of articular cartilage: A review, Journal of Biomechanics, vol.17, issue.5, pp.377-394, 1984. ,
DOI : 10.1016/0021-9290(84)90031-9
Improved accuracy in finite element analysis of Biot's consolidation problem, Computer Methods in Applied Mechanics and Engineering, vol.95, issue.3, pp.359-382, 1992. ,
DOI : 10.1016/0045-7825(92)90193-N
On stability and convergence of finite element approximations of Biot's consolidation problem, International Journal for Numerical Methods in Engineering, vol.1, issue.4, pp.645-667, 1994. ,
DOI : 10.1002/nme.1620370407
Mathematical Based Calculation of Drug Penetration Depth in Solid Tumors, BioMed Research International, vol.11, issue.2, p.8437247, 2016. ,
DOI : 10.1158/1535-7163.MCT-14-0475
Macro- and microscopic fluid transport in living tissues: Application to solid tumors, AIChE Journal, vol.43, issue.3, pp.818-834, 1997. ,
DOI : 10.1002/aic.690430327
Role of extracellular matrix assembly in interstitial transport in solid tumors, Cancer research, vol.60, issue.9, pp.2497-2503, 2000. ,
Overcoming the problem of locking in linear elasticity and poroelasticity: an heuristic approach, Computational Geosciences, vol.11, issue.1871, 2009. ,
DOI : 10.1007/s10596-008-9114-x
Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications, Journal of Mathematical Biology, vol.114, issue.4, pp.625-656, 2008. ,
DOI : 10.1007/s00285-008-0218-7
Simulation of reactive flow in porous media with variable porosity as appears when modelling concrete carbonation, 11th World Congress on Computational Mechanics (WCCM XI) 5th European Conference on Computational Mechanics (ECCM V) 6th European Conference on Computational Fluid Dynamics (ECFD VI), 2014. ,
Mechanical behaviour of engineering materials, 2007. ,
On the elasticity of transverse isotropic soft tissues (L), The Journal of the Acoustical Society of America, vol.129, issue.5, pp.2757-2762, 2011. ,
DOI : 10.1121/1.3559681
Optimizing Plasmid-Based Gene Transfer for Investigating Skeletal Muscle Structure and Function, Molecular Therapy, vol.13, issue.4, 2006. ,
DOI : 10.1016/j.ymthe.2005.09.019
URL : http://dx.doi.org/10.1016/j.ymthe.2005.09.019
Mathematical models for soil consolidation problems : a state of the art report, of Modeling and Mechanics of Granular and Porous Materials, pp.159-180, 2002. ,
Optimisation of electrotransfer of plasmid into skeletal muscle by pretreatment with hyaluronidase -increased expression with reduced muscle damage, Gene Therapy, vol.8, pp.1264-1270, 2001. ,
Effect of tumor shape and size on drug delivery to solid tumors, Journal of Biological Engineering, vol.132, issue.5, 2012. ,
DOI : 10.1115/1.4001164
Flow in deformable porous media. Part 1 Simple analysis, Journal of Fluid Mechanics, vol.93, issue.-1, pp.17-38, 1993. ,
DOI : 10.1016/0012-821X(86)90144-5
Flow in deformable porous media. Part 2 Numerical analysis ??? the relationship between shock waves and solitary waves, Journal of Fluid Mechanics, vol.25, issue.-1, pp.39-63, 1993. ,
DOI : 10.1016/0012-821X(86)90144-5
Reversal of intrinsic and acquired forms of drug resistance by hyaluronidase treatment of solid tumors, Cancer Letters, vol.131, issue.1, pp.35-44, 1998. ,
DOI : 10.1016/S0304-3835(98)00199-2
Modeling Concentration Distribution and Deformation During Convection-Enhanced Drug Delivery into Brain Tissue, Transport in Porous Media, pp.119-143, 2011. ,
DOI : 10.1007/s11242-011-9894-7
Resistance to adriamycin in multicellular spheroids, International Journal of Radiation Oncology*Biology*Physics, vol.5, issue.8, pp.1225-1230, 1979. ,
DOI : 10.1016/0360-3016(79)90643-6
Interstitial Flow and Its Effects in Soft Tissues, Annual Review of Biomedical Engineering, vol.9, issue.1, pp.229-256, 2007. ,
DOI : 10.1146/annurev.bioeng.9.060906.151850
Drug Resistance and the Solid Tumor Microenvironment, JNCI Journal of the National Cancer Institute, vol.99, issue.19, pp.1441-1454, 2007. ,
DOI : 10.1093/jnci/djm135
Density and hydration of fresh and fixed human skeletal muscle, Journal of Biomechanics, vol.38, issue.11, pp.2317-2320, 2005. ,
DOI : 10.1016/j.jbiomech.2004.10.001
Targeting the Tumor Microenvironment in Cancer: Why Hyaluronidase Deserves a Second Look, Cancer Discovery, vol.1, issue.4, pp.291-296, 2011. ,
DOI : 10.1158/2159-8290.CD-11-0136
Direct gene transfer into mouse muscle in vivo, Science, vol.247, issue.4949, pp.2471465-1468, 1990. ,
DOI : 10.1126/science.1690918
Effects of porosity and pore size on in vitro degradation of threedimensional porous poly (D, L-lactide-co-glycolide) scaffolds for tissue engineering, Journal of Biomedical Materials Research Part A, 2005. ,
Interstitial fluid flow: the mechanical environment of cells and foundation of meridians. Evidence-based complementary and alternative medicine : eCAM, p.853516, 2012. ,
Stretching Skeletal Muscle: Chronic Muscle Lengthening through Sarcomerogenesis, PLoS ONE, vol.7, issue.10, p.45661, 2012. ,
DOI : 10.1371/journal.pone.0045661.t002