Publications

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  • Klemens Fellner, B. Hughes. Solutions of a non?local aggregation equation: Universal bounds, concavity changes, and efficient numerical solutions. Mathematical Methods in the Applied Sciences, 43, 5398-5429, 2020. doi: 10.1002/mma.6281.

  • J. Sader, B. Hughes, F Huber, FJ Giessibl. Publisher Correction: Interatomic force laws that evade dynamic measurement.. Nature nanotechnology, 298 (1pp), 2019. doi: 10.1038/s41565-019-0364-7.

  • David G Gonsalvez, Georgina A Craig, D. Walsh, B. Hughes, Rhiannon J Wood, Sang Won Yoo, Simon S Murray, Junhua Xiao. The dynamics of oligodendrocyte generation: how distinct is the mouse from the human?. 2019.12.23.887174, 2019. doi: 10.1101/2019.12.23.887174.

  • B. Hughes. Watching the Internal Clock of Cells while They Move and Divide.. Biophys J, 114, 1007-1008, 2018. doi: 10.1016/j.bpj.2018.02.001.

  • P. Nan, D. Walsh, K. Landman, B. Hughes. Distinguishing cell shoving mechanisms.. PLoS One, 13, e0193975 (21pp), 2018. doi: 10.1371/journal.pone.0193975.

  • Roger D Cousens, B. Hughes, Mohsen B Mesgaran. Why we do not expect dispersal probability density functions based on a single mechanism to fit real seed shadows. Journal of Ecology, 106, 903-906, 2018. doi: 10.1111/1365-2745.12891.

  • T. Leung, Patricia T Campbell, B. Hughes, F. Frascoli, J. McCaw. Infection-acquired versus vaccine-acquired immunity in an SIRWS model. Infectious Disease Modelling, 3, 118-135, 2018. doi: 10.1016/j.idm.2018.06.002.

  • J. Sader, B. Hughes, F Huber, FJ Giessibl. Interatomic force laws that evade dynamic measurement.. Nature nanotechnology, 13, 1088-1091, 2018. doi: 10.1038/s41565-018-0277-x.

  • B. Hughes, Barry W Ninham. A Correspondence Principle. Substantia, 2, 51-76, 2018. doi: 10.13128/substantia-41.

  • D. Walsh, K. Landman, B. Hughes. What is the optimal distribution of myelin along a single axon?. Neuroscience Letters, 658, 97-101, 2017. doi: 10.1016/j.neulet.2017.08.037.

  • W Fulgenzi, A Melatos, B. Hughes. Radio pulsar glitches as a state-dependent Poisson process. Monthly Notices of the Royal Astronomical Society, 470, 4307-4329, 2017. doi: 10.1093/mnras/stx1353.

  • Holger Perfahl, B. Hughes, Tomas Alarcon, Philip K Maini, Mark C Lloyd, Matthias Reuss, Helen M Byrne. 3D hybrid modelling of vascular network formation. Journal of Theoretical Biology, 414, 254-268, 2017. doi: 10.1016/j.jtbi.2016.11.013.

  • Tiffany Leung, B. Hughes, Federico Frascoli, Patricia T Campbell, J. McCaw. Infection-acquired versus vaccine-acquired immunity in an SIRWS model. 2017.

  • J. Sader, B. Hughes, Ferdinand Huber, Franz J Giessibl. Interatomic force laws that corrupt their own measurement. 2017.

  • D. Walsh, Tobias D Merson, K. Landman, B. Hughes. Evidence for Cooperative Selection of Axons for Myelination by Adjacent Oligodendrocytes in the Optic Nerve. PLoS One, 11, e0165673 (9pp), 2016. doi: 10.1371/journal.pone.0165673.

  • D. Walsh, Philipp T Roth, William R Holmes, K. Landman, Tobias D Merson, B. Hughes. Is cell migration or proliferation dominant in the formation of linear arrays of oligodendrocytes?. Journal of Theoretical Biology, 406, 17-30, 2016. doi: 10.1016/j.jtbi.2016.06.028.

  • Rebecca H Chisholm, Tommaso Lorenzi, Laurent Desvillettes, B. Hughes. Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences. Zeitschrift für Angewandte Mathematik und Physik, 67, 2016. doi: 10.1007/s00033-016-0690-7.

  • Tiffany Leung, B. Hughes, Federico Frascoli, J. McCaw. Periodic solutions in an SIRWS model with immune boosting and cross-immunity. Journal of Theoretical Biology, 410, 55-64, 2016. doi: 10.1016/j.jtbi.2016.08.034.

  • B. Hughes, Barry W Ninham. A correspondence principle. Physica A: Statistical Mechanics and its Applications, 443, 495-517, 2016. doi: 10.1016/j.physa.2015.09.024.

  • Holger Perfahl, B. Hughes, Tomas Alaracon, Philip K Maini, Mark C Lloyd, Matthias Reuss, Helen M Byrne. 3D hybrid modeling of vascular network formation. 2016.

  • Tiffany Leung, B. Hughes, Federico Frascoli, J. McCaw. Periodic solutions in an SIRWS model with immune boosting and cross-immunity. 2016.

  • Axel A Almet, Michael Pan, B. Hughes, K. Landman. When push comes to shove: Exclusion processes with nonlocal consequences. Physica A: Statistical Mechanics and its Applications, 437, 119-129, 2015. doi: 10.1016/j.physa.2015.05.05.031.

  • CM Baker, B. Hughes, K. Landman. Length-based connectivity metrics and their ecological interpretation. Ecological Indicators, 58, 192-198, 2015. doi: 10.1016/j.ecolind.2015.05.046.

  • Tommaso Lorenzi, Rebecca H Chisholm, Laurent Desvillettes, B. Hughes. Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments. Journal of Theoretical Biology, 386, 166-176, 2015. doi: 10.1016/j.jtbi.2015.08.031.

  • C. Penington, B. Hughes, K. Landman. Interacting motile agents: Taking a mean-field approach beyond monomers and nearest-neighbor steps. Physical Review E, 89, 032714 (12pp), 2014. doi: 10.1103/PhysRevE.89.032714.

  • F. Frascoli, P. Kim, B. Hughes, K. Landman. A dynamical model of tumour immunotherapy. Mathematical Biosciences, 253, 50-62, 2014. doi: 10.1016/j.mbs.2014.04.003.

  • J. Caffrey, B. Hughes, Joanne M Britto, K. Landman. An In Silico Agent-Based Model Demonstrates Reelin Function in Directing Lamination of Neurons during Cortical Development. PLoS One, 9, e110415 (11pp), 2014. doi: 10.1371/journal.pone.0110415.

  • R. Chisholm, B. Hughes, K. Landman. Erosion by a one-dimensional random walk. Physical Review E, 90, 022140 (11pp), 2014. doi: 10.1103/PhysRevE.90.022140.

  • B. Hughes. Conduction and diffusion in percolating systems. Springer-Verlag London, 2014.

  • R. Chisholm, B. Hughes, K. Landman, M. Zaman. Analytic Study of Three-Dimensional Single Cell Migration with and without Proteolytic Enzymes. Cellular and Molecular Bioengineering, 6, 239-249, 2013. doi: 10.1007/s12195-012-0261-8.

  • B. Hughes, K. Fellner. Continuum models of cohesive stochastic swarms: the effect of motility on aggregation patterns. Physica D: Nonlinear Phenomena, 260, 26-48, 2013. doi: 10.1016/j.physd.2013.05.001.

  • C. Baker, B. Hughes, K. Landman. Random walks in non-uniform environments with local dynamic interactions. Physical Review E, 88, 042113 (13pp), 2013. doi: 10.1103/PhysRevE.88.042113.

  • F. Frascoli, B. Hughes, M. Zaman, K. Landman. A computational model for collective cellular motion in three dimensions: general framework and case study for cell pair dynamics.. PLoS One, 8, e59249 (16pp), 2013. doi: 10.1371/journal.pone.0059249.

  • R. Chisholm, B. Hughes, K. Landman, JM Hutson. Mathematical modelling of gubernaculum during inguino-scrotal migration shows limb bud characteristics. Journal of Pediatric Surgery, 48, 1762-1766, 2013. doi: 10.1016/j.jpedsurg.2012.08.034.

  • J. Sader, B. Hughes, J Sanelli, EJ Bieske. Effect of multiplicative noise on least-squares parameter estimation with applications to the atomic force microscope. Review of Scientific Instruments, 83, 55106-1-55106-6, 2012. doi: 10.1063/1.4709496.

  • C. Penington, K. Korvasova, B. Hughes, K. Landman, K Korvasová. Collective motion of dimers. Physical Review E, 86, 051909 (16pp), 2012. doi: 10.1103/PhysRevE.86.051909.

  • C. Penington, B. Hughes, K. Landman. Building macroscale models from microscale probabilistic models: A general probabilistic approach for nonlinear diffusion and multispecies phenomena. Physical Review E, 84, 041120 (12pp), 2011. doi: 10.1103/PhysRevE.84.041120.

  • R. Chisholm, B. Hughes, K. Landman, G Mayer, PM Whitington. When are cellular oscillators sufficient for sequential segmentation?. Journal of Theoretical Biology, 279, 150-160, 2011. doi: 10.1016/j.jtbi.2011.02.022.

  • J. Caffrey, B. Hughes, K. Landman. Dispersal, settling and layer formation. Mathematical Biosciences, 232, 42-56, 2011. doi: 10.1016/j.mbs.2011.04.002.

  • J. Sader, J Sanelli, B. Hughes, JP Monty, EJ Bieske. Distortion in the thermal noise spectrum and quality factor of nanomechanical devices due to finite frequency resolution with applications to the atomic force microscope. Review of Scientific Instruments, 82, 95104-01-95104-10, 2011. doi: 10.1063/1.3632122.

  • M. Simpson, K. Landman, B. Hughes. Cell invasion with proliferation mechanisms motivated by time-lapse data. Physica A - Statistical Mechanics and its Applications, 389, 3779-3790, 2010. doi: 10.1016/j.physa.2010.05.020.

  • R. Chisholm, B. Hughes, K. Landman. Building a Morphogen Gradient without Diffusion in a Growing Tissue. PLoS One, 5, 1-9, 2010. doi: 10.1371/journal.pone.0012857.

  • M. Simpson, K. Landman, B. Hughes, A. Fernando. A model for mesoscale patterns in motile populations. Physica A - Statistical Mechanics and its Applications, 389, 1412-1424, 2010. doi: 10.1016/j.physa.2009.12.010.

  • A TREMEL, A. Cai, G Stevens, K. Landman, N Tirtaatmadja, B. Hughes, AJ O’Connor. Cell migration and proliferation during monolayer formation and wound healing. Chemical Engineering Science, 64, 247-253, 2009. doi: 10.1016/j.ces.2008.10.008.

  • M. Simpson, K. Landman, B. Hughes. Multi-species simple exclusion processes. Physica A - Statistical and Theoretical Physics, 388, 399-406, 2009. doi: 10.1016/j.physa.2008.10.038.

  • B. Hughes. Conduction and diffusion in percolating systems. 1395-1424, Springer, 2009.

  • J. Slater, K. Landman, B. Hughes, Q Shen, S Temple. Cell lineage tree models of neurogenesis. Journal of Theoretical Biology, 256, 164-179, 2009. doi: 10.1016/j.jtbi.2008.09.034.

  • M. Simpson, K. Landman, B. Hughes. Distinguishing between Directed and Undirected Cell Motility within an Invading Cell Population. Bulletin of Mathematical Biology, 71, 781-799, 2009. doi: 10.1007/s11538-008-9381-7.

  • M. Simpson, K. Landman, B. Hughes. Pathlines in exclusion processes. Physical Review E, 79, 031920 (5pp), 2009. doi: 10.1103/PhysRevE.79.031920.

  • M. Simpson, B. Hughes, K. Landman. Diffusing populations: Ghosts or folks?. Australasian journal of engineering education, 15, 59-67, 2009.

  • N. Boland, B. Hughes, L. Merlot, P Stuckey. New integer linear programming approaches for course timetabling. Computers & Operations Research, 35, 2209-2233, 2008. doi: 10.1016/j.cor.2006.10.016.

  • M. Simpson, A. Merrifield, K. Landman, B. Hughes. Simulating invasion with cellular automata: Connecting cell-scale and population-scale properties. Physical Review E, 76, 1-11, 2007. doi: 10.1103/PhysRevE.76.021918.

  • A. Cai, K. Landman, B. Hughes. Multi-scale modelling of a wound healing cell migration assay.. Journal of Theoretical Biology, 245, 576-594, 2007. doi: 10.1016/j.jtbi.2006.10.024.

  • K. Landman, A. Cai, B. Hughes. Travelling waves of attached and detached cells in a wound-healing cell migration assay.. Bulletin of Mathematical Biology, 69, 2119-2138, 2007. doi: 10.1007/s11538-007-9206-0.

  • A. Cai, K. Landman, B. Hughes, C Witt. T cell development in the thymus: from periodic seeding to constant output.. Journal of Theoretical Biology, 249, 384-394, 2007. doi: 10.1016/j.jtbi.2007.07.028.

  • W Reed, B. Hughes. Theoretical size distribution of fossil taxa: analysis of a null model. Theoretical Biology and Medical Modelling, 4, 12 pages (12pp), 2007. doi: 10.1186/1742-4682-4-12.

  • M. Simpson, K. Landman, B. Hughes, D Newgreen, D F Newgreen, Donald F. Newgreen. Looking inside an invasion wave of cells using continuum models:Proliferation is the key. Journal of Theoretical Biology, 243, 343-360, 2006. doi: 10.1016/j.jtbi.2006.06.021.

  • J. Slater, B. Hughes, K. Landman. Evolving mortal networks. Physical Review E, 73, 066111 (13pp), 2006. doi: 10.1103/PhysRevE.73.066111.

  • A. Cai, K. Landman, B. Hughes. Modelling directional guidance and motility regulation in cell migration. Bulletin of Mathematical Biology, 68, 25-52, 2006. doi: 10.1007/s11538-005-9028-x.

  • DCM Dickson, B. Hughes, L. Zhang, Z Lianzeng. The density of the time to ruin for a Sparre Andersen process with Erlang arrivals and exponential claims. Scandinavian Actuarial Journal, 2005, 358-376, 2005. doi: 10.1080/03461230510009853.

  • WJ Reed, B. Hughes. A model explaining the size distribution of gene and protein families. Mathematical Biosciences, 189, 97-102, 2004. doi: 10.1016/j.mbs.2003.11.002.

  • L. Merlot, N. Boland, B. Hughes, PJ Stuckey. A Hybrid Algorithm for the Examination Timetabling Problem. Lecture Notes in Computer Science: Practice and Theory of Automated Timetabling IV, 2740, 207-231, 2003.

  • WJ Reed, B. Hughes. Power-law distributions from exponential processes: an explanation for the occurrence of long-tailed distributions in biology and elsewhere. Scientiae Mathematicae Japonicae, 58, 473-483, 2003.

  • D. Chan, B. Hughes, AS Leong, WJ Reed. Stochastically evolving networks. Physical Review E, 68, 1-4, 2003. doi: 10.1103/PhysRevE.68.066124.

  • WJ Reed, B. Hughes. On the distribution of family names. Physica A - Statistical and Theoretical Physics, 319, 579-590, 2003. doi: 10.1016/S0378-4371(02)01455-3.

  • WJ Reed, B. Hughes. On the size distribution of live genera. Journal of Theoretical Biology, 217, 125-135, 2002. doi: 10.1006/yjtbi.3009.

  • WJ Reed, B. Hughes. From gene families and genera to incomes and internet file sizes: why power laws are so common in nature. Physical Review E, 66, 1-4, 2002. doi: 10.1103/PhysRevE.66.067103.

  • B. Hughes. Anomalous diffusion, stable processes and generalized functions. Physical Review E, 65, 1-4, 2002. doi: 10.1103/PhysRevE.65.035105.

  • B. Hughes. Some applications of classical analysis in physics and physical chemistry. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 129-130, 185-206, 1997. doi: 10.1016/S0927-7757(97)00037-X.

  • B. Hughes. Random Walks and Random Environments: Random environments. Oxford University Press on Demand, 1996.

  • B. Hughes. Random Walks and Random Environments: Random walks. Oxford University Press, 1995.

  • J. Sader, D. Chan, B. Hughes. Non-Newtonian effects on immiscible viscous fingering in a radial Hele-Shaw cell. Physical Review E, 49, 420-432, 1994. doi: 10.1103/PhysRevE.49.420.

  • M Yudin, B. Hughes. Surface energy of solids. Physical Review B, 49, 5638-5642, 1994. doi: 10.1103/PhysRevB.49.5638.

  • K Liffman, D. Chan, B. Hughes. On the stress depression under a sandpile. Powder Technology, 78, 263-271, 1994. doi: 10.1016/0032-5910(93)02801-G.

  • D. Chan, B. Hughes, L Paterson. Transient gas flow around boreholes. Transport in Porous Media, 10, 137-152, 1993. doi: 10.1007/BF00617005.

  • D. Chan, B. Hughes, L Paterson. Tensile stresses around boreholes due to transient fluid flow. International Journal for Numerical and Analytical Methods in Geomechanics, 17, 659-667, 1993. doi: 10.1002/nag.1610170905.

  • B. Hughes, M Sahimi. Diffusion in disordered systems with multiple families of transport paths. Physical Review Letters, 70, 2581-2584, 1993. doi: 10.1103/PhysRevLett.70.2581.

  • B. Hughes, M Sahimi. Stochastic transport in heterogeneous media with multiple families of transport paths. Physical Review E, 48, 2776-2785, 1993. doi: 10.1103/PhysRevE.48.2776.

  • K Liffman, D. Chan, B. Hughes. Force distribution in a two dimensional sandpile. Powder Technology, 72, 255-267, 1992. doi: 10.1016/0032-5910(92)80044-W.

  • BW Ninham, B. Hughes, NE Frankel, M Lawrence Glasser. Möbius, Mellin, and mathematical physics. Physica A: Statistical Mechanics and its Applications, 186, 441-481, 1992. doi: 10.1016/0378-4371(92)90210-H.

  • D. Chan, B. Hughes, L Paterson, C Sirakoff. Resistor networks with distributed breakdown voltages. Physical Review A, 43, 2905-2909, 1991. doi: 10.1103/PhysRevA.43.2905.

  • B. Hughes, NE Frankel, BW Ninham. Chen's inversion formula. Physical Review A, 42, 3643-3645, 1990. doi: 10.1103/PhysRevA.42.3643.

  • SS Manna, A. Guttmann, B. Hughes. Diffusion on two-dimensional random walks. Physical Review A, 39, 4337-4340, 1989. doi: 10.1103/PhysRevA.39.4337.

  • D. Chan, B. Hughes, L Paterson. Fluid capacity distributions of random porous media. Transport in Porous Media, 3, 81-94, 1988. doi: 10.1007/BF00222687.

  • D. Chan, B. Hughes, L Paterson, C Sirakoff. Simulating flow in porous media. Physical Review A, 38, 4106-4120, 1988. doi: 10.1103/PhysRevA.38.4106.

  • D. Chan, B. Hughes. Ion diffusion in a Coulombic field. Journal of Statistical Physics, 52, 383-394, 1988. doi: 10.1007/BF01016421.

  • D. Chan, B. Hughes, L Paterson. Tunable noise. Nature, 325, 489, 1987.

  • D. Chan, B. Hughes, L. White. A physically consistent theory of fracture in a brittle solid. Journal of Colloid And Interface Science, 115, 240-259, 1987. doi: 10.1016/0021-9797(87)90029-4.

  • GP Morriss, DJ Isbister, B. Hughes. Shear flow in the two-body Boltzmann gas. II. Small and large γ expansion of the shear viscosity. Journal of Statistical Physics, 44, 107-128, 1986. doi: 10.1007/BF01010907.

  • B. Hughes. On returns to the starting site in lattice random walks. Physica A: Statistical Mechanics and its Applications, 134, 443-457, 1986. doi: 10.1016/0378-4371(86)90058-0.

  • D. Chan, B. Hughes, L Paterson. Fluctuations, viscous fingering, and diffusion-limited aggregation. Physical Review A, 34, 4079-4082, 1986. doi: 10.1103/PhysRevA.34.4079.

  • M Sahimi, B. Hughes, LE Scriven, H Ted Davis. Dispersion in flow through porous media-I. One-phase flow. Chemical Engineering Science, 41, 2103-2122, 1986. doi: 10.1016/0009-2509(86)87128-7.

  • JM HILL, B. Hughes. On the general random walk formulation for diffusion in media with Diffusivities. The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 27, 73-87, 1985. doi: 10.1017/S033427000000477X.

  • B. Hughes. Comment: On the potential due to a circular parallel plate capacitor. Journal of Physics A: Mathematical and General, 17, 1385-1386, 1984. doi: 10.1088/0305-4470/17/6/033.

  • D. Chan, B. Hughes. On a random process interpolating between Markovian and non-Markovian random walks. Journal of Physics A: Mathematical and General, 17, L121-L127, 1984. doi: 10.1088/0305-4470/17/3/006.

  • B. Hughes, M Sahimi, LE Scriven, HT Davis. Transport and conduction in random systems. International Journal of Engineering Science, 22, 1083-1096, 1984. doi: 10.1016/0020-7225(84)90109-5.

  • M Sahimi, B. Hughes, LE Scriven, HT Davis. Critical exponent of percolation conductivity by finite-size scaling. Journal of Physics C: Solid State Physics, 16, L521-L527, 1983. doi: 10.1088/0022-3719/16/16/004.

  • B. Hughes, EW Montroll, MF Shlesinger. Fractal and lacunary stochastic processes. Journal of Statistical Physics, 30, 273-283, 1983. doi: 10.1007/BF01012302.

  • M Sahimi, B. Hughes, LE Scriven, HT Davis. Real-space renormalization and effective-medium approximation to the percolation conduction problem. Physical Review B, 28, 307-311, 1983. doi: 10.1103/PhysRevB.28.307.

  • B. Hughes, M Sahimi, H Ted Davis. Random walks on pseudo-lattices. Physica A: Statistical Mechanics and its Applications, 120, 515-536, 1983. doi: 10.1016/0378-4371(83)90064-X.

  • M Sahimi, B. Hughes, LE Scriven, H Ted Davis. Stochastic transport in disordered systems. The Journal of Chemical Physics, 78, 6849-6864, 1983. doi: 10.1063/1.444631.

  • WJ Pardee, WL Morris, BN Cox, B. Hughes. Statistical Mechanics of early growth of fatigue cracks. 99-111, 1983.

  • M Sahimi, B. Hughes, LE Scriven, HT Davis. On Polya random walks, lattice Green functions, and the bond percolation threshold. Journal of Physics A: Mathematical and General, 16, L67-L71, 1983. doi: 10.1088/0305-4470/16/2/004.

  • B. Hughes, S PRAGER. Random processes and random systems: An introduction. 1035, 1-108, SPRINGER, 1983. doi: 10.1007/bfb0073255.

  • B. Hughes, M Sahimi. Random walks on the Bethe lattice. Journal of Statistical Physics, 29, 781-794, 1982. doi: 10.1007/BF01011791.

  • B. Hughes, EW Montroll, MF Shlesinger. Fractal random walks. Journal of Statistical Physics, 28, 111-126, 1982. doi: 10.1007/BF01011626.

  • B. Hughes, BA Pailthorpe, L. White, WH Sawyer. Extraction of membrane microviscosity from translational and rotational diffusion coefficients.. Biophysical Journal, 37, 673-676, 1982.

  • M Sahimi, AA Heiba, B. Hughes, HT Davis, LE Scriven. Dispersion in flow through porous media. Proceedings - SPE Annual Technical Conference and Exhibition, 1982-September, 1982.

  • Muhammad Sahimi, Adel A Heiba, B. Hughes, H Ted Davis, LE Scriven. Dispersion in Flow through Porous Media. SPE Annual Technical Conference and Exhibition, 1982. doi: 10.2118/10969-ms.

  • B. Hughes, MF Shlesinger. Lattice dynamics, random walks, and nonintegral effective dimensionality. Journal of Mathematical Physics, 23, 1688-1692, 1981. doi: 10.1063/1.525554.

  • B. Hughes, BA Pailthorpe, L. White. The Translational And Rotational Drag On A Cylinder Moving In A Membrane. Journal of Fluid Mechanics, 110, 349-372, 1981. doi: 10.1017/S0022112081000785.

  • MF Shlesinger, B. Hughes. Analogs of renormalization group transformations in random processes. Physica A: Statistical Mechanics and its Applications, 109, 597-608, 1981. doi: 10.1016/0378-4371(81)90015-7.

  • B. Hughes, L. White. Implications of elastic deformation on the direct measurement of surface forces. Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, 76, 963-978, 1980. doi: 10.1039/F19807600963.

  • B. Hughes, L. White. Analytic approximations for the elastic contact of rough spheres. Journal of Applied Mechanics, Transactions ASME, 47, 194-196, 1980. doi: 10.1115/1.3153604.

  • B. Hughes, L. White. 'Soft' contact problems in linear elasticity. Quarterly Journal of Mechanics and Applied Mathematics, 32, 445-471, 1979. doi: 10.1093/qjmam/32.4.445.