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Dr Rebecca Shipley's Tissue Modelling Group
UCL Mechanical Engineering



Publications by year since 2006

Special Issues:

Lay Articles:

  1. RJ Shipley, June 2010. Integrating Mathematical Modelling with Experiments for Tissue Engineering Applications. Mathematics Today, 46(3): 125–126 (a general interest publication of the Institute of Mathematics and its Applications in the UK


  1. PW Sweeney, S Walker-Samuel & RJ Shipley (2018). Vascular and interstitial flow solver for discrete microvascular networks [Software]. UK: Zenodo. doi:10.5281/zenodo.1414159

Peer-Reviewed Journal Publications:

  1. M Nweze, T Baker, AG Limb, RJ Shipley, 2019. Insights into the Design of Spray Systems for Cell Therapies for Retinal Disease using Computational Modelling. Under review
  2. C Kayal, E Moeendarbary, RJ Shipley, JB Phillips, 2019. Mechanical Response of Neural Cells to Physiologically Relevant Stiffness Gradients. Under review
  3. RJ Shipley, PW Sweeney, SJ Chapman, T Roose, 2018. Multiscale Model Predictions of Fluid and Chemotherapy Distribution in Dorsal Skinfold Chambers. Under review
  4. R Coy, G Al-Badri, C Kayal, C O’Rourke, P Kingham, JB Phillips, RJ Shipley, 2019. A Combined Experimental-Theoretical Approach to Inform Cell Seeding Strategies in Tissue Engineering. Under review
  5. K Quan, R Tanno, RJ Shipley, JS Brown, J Jacob, JR Hurst, DJ Hawkes, 2019. Reproducibility of an Airway Tapering Measurement in Computed Tomography with Application to Bronchiectasis. Journal of Medical Imaging (doi:10.1117/1.JMI.6.3.034003)
  6. PW Sweeney, A d’Esposito, S Walker-Samuel, RJ Shipley, 2019. Modelling the Transport of Fluid through Heterogeneous, Whole Tumours In Silico. PLoS Computational Biology (
  7. RJ Shipley, AF Smith, PW Sweeney, AR Pries, TW Secomb, 2019. A Hybrid Discrete-Continuum Approach for Modelling Microcirculatory Blood Flow. Mathematical Medicine and Biology (
  8. C Kayal, RJ Shipley, JB Phillips, 2019. Physical and Mechanical Properties of RAFT-Stabilised Collagen Gels for Tissue Engineering Applications. Journal of the Mechanical Behavior of Biomedical Materials, 99, 216-224 (
  9. D De Silva Thompson, C Peticone, I Burova, RJ Shipley, J Knowles, M Micheletti, I Wall, 2019. Assessing Behaviour of Osteoblastic Cells in Dynamic Culture Conditions using Titanium-Doped Phosphate Glasses. Journal of Tissue Engineering (
  10. I Burova, I Wall, RJ Shipley, 2019. Mathematical and Computational Models for Bone Tissue Engineering. Journal of Tissue Engineering (doi:10.1177/2041731419827922)
  11. I Burova, C Pepticone, D de Silva Thompson, J Knowles, I Wall, RJ Shipley, 2019. Kinetics of Osteoblast Growth in a Microcarrier Culture. Journal of Tissue Engineering (doi:10.1177/2041731419830264)
  12. I Sorrell, RJ Shipley, S Regan, I Gardner, M Storm, M Ellis, J Ward, D Williams, P Mistry, J Domingo Salazar, A Scott, S Webb, 2019. Mathematical Modelling of a Liver Hollow Fibre Bioreactor. Journal of Theoretical Biology (
  13. A d’Esposito*, P Sweeney*, M Ali, M Saleh, R Ramasawmy, TA Roberts, A Desjardins, MF Lythgoe, RB Medley, RJ Shipley*, S Walker-Samuel*, 2018. Computational fluid dynamics with imaging of cleared tissue and of in vivo perfusion predicts drug uptake and treatment responses in tumours. Nature Biomedical Engineering, 2(10), 773-787. doi:10.1038/s41551-018-0306-y
    * joint first/ joint senior & corresponding authors
  14. MLD Rayner, S Laranjeira Gomes, RJ Shipley, J Healy, JB Phillips, 2018. Developing an In Vitro Model to Screen Drugs for Nerve Regeneration. Anatomical Records. doi:10.1002/ar.23918
  15. P Muangsanit, RJ Shipley, JB Phillips, 2018. Vascularisation Strategies for Peripheral Nerve Tissue Engineering. Anatomical Records. doi:10.1002/ar.23919
  16. PW Sweeney, S Walker-Samuel, RJ Shipley, 2018. Insights into Cerebral Haemodynamics and Oxygenation Utilising In Vivo Mural Cell Imaging and Mathematical Modelling. Scientific Reports, 8(1), 1373. doi:10.1038/s41598-017-19086-z
  17. JC Madden, S Webb, SJ Enoch, HE Colley, C Murdoch, RJ Shipley, P Sharma, C Yang MTD Cronin, 2017. In Silico Prediction of Skin Metabolism and its Implication in Toxicity Assessment. Computational Toxicology, 3:44-57 doi: 10.1016/j.comtom.2017.07.001
  18. LAC Chapman, HM Byrne, JP Whiteley, SL Waters, RJ Shipley, 2017. Mathematical Modelling of Cell Layer Growth in a Hollow Fibre Bioreactor. Journal of Theoretical Biology 418:36-56 doi: 10.1016/j.jtbi.2017.01.016
  19. V Vavourakis, PA Wijeratne*, RJ Shipley*, T Stylianopoulos, M Loizidou, DJ Hawkes, 2017. A Validated Multiscale In-Silico Model for Mechano-Sensitive Tumour Angiogenesis and Growth. PLoS Computational Biology: 13(1):e1005259 doi: 10.1371/journal.pcbi.1005259
    *authors contributed equally to the work
  20. R Coy, OR Evans JB Phillips, RJ Shipley, 2017. An Integrated Theoretical-Experimental Approach to Accelerate Translational Tissue Engineering. Journal of Tissue Engineering and Regenerative Medicine 12: e53-59. doi:10.1002/term.2346
  21. MP Storm, I Sorrell, R Shipley, S Regan, J Sathish, S Webb, MJ Ellis, 2016. Hollow Fiber Bioreactors for In Vivo-Like Mammalian Tissue Culture. Journal of Visualized Experiments: JoVE 111: doi: 10.3791/53431.
  22. NC Pearson, JM Oliver, RJ Shipley, SL Waters, 2016. A Multiphase Model for Chemically- and Mechanically-Induced Cell Differentiation in a Hollow Fibre Membrane Bioreactor: Minimising Growth Factor Consumption. Biomechanics and Modeling in Mechanobiology, 15(3): 683-700. doi:10.1007/s10237-015-0717-6
  23. K-A Kwon, RJ Shipley, M Edirisinghe, SM Best, RE Cameron, C Poitelea, GE Rose, D Ezra, 2016. The Mechanics of Brow-Suspension Ptosis Repair: A Comparative Study of Fox Pentagon and Crawford Triangle Techniques. Journal of Ophthalmic Plastic and Reconstructive Surgery: 33(1):22-26 doi: 10.1097/IOP.0000000000000621
  24. AF Smith, TW Secomb, AR Pries, NP Smith & RJ Shipley, 2015. Structure-Based Algorithms for Microvessel Classification. Microcirculation, 22(2):99-108 doi: 10.1111/micc.12181
  25. K-A Kwon, RJ Shipley, M Edirisinghe, AW Rayment, SM Best, RE Cameron, T Salam, GE Rose, D Ezra, 2015. Stress-relaxation and fatigue behaviour of synthetic brow-suspension materials. Journal of the Mechanical Behavior of Biomedical Materials, 42: 116-128. doi:10.1016/j.jmbbm.2014.11.004
  26. NC Pearson, JM Oliver, SL Waters & RJ Shipley, 2015. Multiphase Modelling of the Effect of Fluid Shear Stress on Cell Yield and Distribution in a Hollow Fibre Membrane Bioreactor. Biomechanics and Modeling in Mechanobiology. 14(2):387-402 doi:10.1007/s10237-014-0611-7
  27. NC Pearson, RJ Shipley, SL Waters & JM Oliver, 2014. Dispersion-Enhanced Solute Transport in a Cell-Seeded Hollow Fibre Membrane Bioreactor. Journal of Engineering Mathematics. 99(1): 29-63. doi:10.1007/s10665-015-9819-5
  28. LAC Chapman, RJ Shipley, JP Whiteley, MJ Ellis, HM Byrne & SL Waters, 2014. Optimising Cell Aggregate Expansion in a Perfused Hollow Fibre Bioreactor via Mathematical Modelling. PLoS ONE 9(8):e105813. doi:10.1371/journal/pone.0105813
  29. A Ardakani, U Cheema, RA Brown, RJ Shipley 2014. Quantifying the Correlation between Spatially Defined Oxygen Gradients and Cell Fate in an Engineered 3D Culture Model. Joural of the Royal Society Interface. 11(98): 20140501.
  30. AF Smith, RJ Shipley, J Lee, GB Sands, IJ LeGrice, NP Smith, 2014. Transmural Variation and Anisotropy of Microvascular Flow Conductivity in the Rat Myocardium. Annals of Biomedical Engineering, 42(9): 1966-77. doi: 10.1007/s10439-014-1028-2
  31. CJ Kelly, K Hussein, E Fokas, P Kannan, RJ Shipley, TM Ashton, M Stratford, N Pearson & RJ Muschel. Regulation of O2 Consumption by the P13K and mTOR Pathways Contributes to Tumor Hypoxia, 2014. Radiotherapy and Oncology, 111(1): 72-80. doi:10.1016/j.radonc.2014.02.007
  32. J-A Kwon, RJ Shipley, M Edirisinghe, D Ezra, G Rose, AW Rayment, SM Best & RE Cameron, 2014. Microstructure and Mechanical Properties of Synthetic Brow-Suspension Materials. Mater. Sci. Eng. C – Materials for Biological Applications, 1(35): 220-30. doi: 10.1016/j.msec.2013.10.031
  33. R Penta, D Ambrosi & RJ Shipley, 2014. Homogenized Governing Equations for Poroelastic Growing Media. Quarterly Journal of Mechanics and Applied Mathematics 67(1): 69-91
    doi: 10.1093/qjmam/hbt024
  34. AF Smith, R Shipley, J Lee, G Sands, I LeGrice, N Smith, 2014. Transmural Variation of Microvascular Flow Conductivity in the Rat Left Ventricular Myocardium. FASEB Journal 28(1):1
  35. I Sorrel, RJ Shipley, V Hearnden, HE Colley, MH Thornhill, C Murdoch & SD Webb, 2014. Combined Mathematical Modelling and Experimentation to Predict Polymersome Uptake by Oral Cancer Cells. Nanomedicine: Nanotechnology, Biology, and Medicine 10(2): 339-48
  36. Y Davit et al., 2013. Homogenization Via Formal Multiscale Asymptotics and Volume Averaging: How do the Two Techniques Compare? Advances in Water Resources 62: 178-206.
  37. NC Pearson, RJ Shipley, SL Waters & JM Oliver, 2013. Multiphase Modelling of the Influence of Fluid Flow and Chemical Concentration on Tissue Growth in Hollow Fibre Membrane Bioreactors. Mathematical Medicine & Biology 31(4):393-430 doi:10.1093/imammb/dqt015
  38. J-A Kwon, RJ Shipley, D Ezra, G Rose, SM Best, RE Cameron, M Edirisinghe, 2013. High-Speed Camera Characterisation of Voluntary Eye Blinking Kinematics. Journal of the Royal Society Interface, 10(85):20130227. doi: 10.1098/rsif.2013.0227
  39. IM Griffiths, PD Howell & RJ Shipley, 2013. Control and Optimization of Solute Transport in a Porous Tube. Physics of Fluids, 25:033101. doi: 10.1063/1.4795545
  40. DP Williams, RJ Shipley, MJ Ellis, S Webb, J Ward, I Gardner & S Creton, 2013. Novel In Vitro & Mathematical Models for the Prediction of Chemical Toxicity. Toxicology Research, 21(1):40-59 doi: 10.1039/C2TX20031G
  41. RJ Shipley & SL Waters, 2012. Fluid and Mass Transport Modelling to Drive the Design of Cell-Packed Hollow Fibre Bioreactors for Tissue Engineering Applications. Mathematical Medicine & Biology, 29(4):329-359 doi: 10.1093/imammb/dqr025
  42. RJ Shipley, AJ Davidson, K Chan, JB Chaudhuri, SL Waters & MJ Ellis, 2011. A Strategy to Determine Operating Parameters in Tissue Engineering Hollow Fiber Bioreactors. Biotechnology and Bioengineering, 108(6):1450–1461. doi: 10.1002/bit.23062
  43. SL Waters, J Alastruey, DA Beard, PHM Bovendeerd, PF Davies, G Jayaraman, OE Jensen, J Lee, KH Parker, AS Popel, TW Secomb, SJ Sherwin, RJ Shipley, NP Smith & FN Vosse, 2010. Theoretical Models for Coronary Vascular Biomechanics: Progress & Challenges. Progress in Biophysics and Molecular Biology, 104:49–76. doi: 10.1016/j.pbiomolbio.2010.10.001
  44. RJ Shipley, SL Waters & MJ Ellis, 2010. Definition and Validation of Operating Equations for Poly(vinyl alcohol)-Poly(lactide-co-glycolide) Microfiltration Membrane-Scaffold Bioreactors. Biotechnology and Bioengineering, 107(2):382–392. doi: 10.1002/bit.22815
  45. RJ Shipley & SJ Chapman, 2010. Multiscale Modelling of Fluid and Drug Transport in Vascular Tumours. Bulletin of Mathematical Biology, 72(6):1464–1491. doi: 10.1007/s11538-010-9504-9
  46. RJ Shipley, GW Jones, RJ Dyson, BG Sengers, CL Bailey, CP Please & J Malda, 2009. Design Criteria for a Printed Tissue Engineering Construct: A Mathematical Homogenization Approach, Journal of Theoretical Biology, 259(2): 489–502. doi: 10.1016/j.jtbi.2009.03.037
  47. RJ Shipley, MB Bonsall, DJ Allwright & CF Graham, 2009. Theoretical Exploration of Blastocyst Morphogenesis, International Journal of Developmental Biology, 53(4):447–457. doi: 10.1387/ijdb.082587rs
  48. M Soleimani, RJ Shipley, NP Smith & CN Mitchell, 2009. Medical Imaging and Physiological Modelling: Linking Physics and Biology, BioMedical Engineering OnLine, 8(1):1–3. doi: 10.1186/1475-925X-8-1
  49. SJ Chapman, RJ Shipley & R Jawad, 2008. Multiscale Modeling of Fluid Transport in Tumors, Bulletin of Mathematical Biology, 70(8):2334–57. doi: 10.1007/s11538-008-9349-7
  50. R Carter & MB Giles, 2007. Sharp Error Estimates for Discretizations of the 1D Convection/Diffusion Equation with Dirac Initial Data. IMA Journal of Numerical Analysis. doi: 10.1093/imanum/drl043
  51. MB Giles & R Carter, Summer 2006. Convergence Analysis of Crank-Nicolson and Rannacher Time Marching. Journal of Computational Finance, 9(4):89.

Lay Articles

  1. RJ Shipley, June 2010. Integrating Mathematical Modelling with Experiments for Tissue Engineering Applications. Mathematics Today, 46(3): 125–126 (a general interest publication of the Institute of Mathematics and its Applications in the UK


  1. Sweeney, P. W., Walker-Samuel, S., & Shipley, R. J. (2018). Vascular and interstitial flow solver for discrete microvascular networks [Software]. UK: Zenodo. doi:10.5281/zenodo.1414159
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