## Publications

Landman, K.A., An interaction with biologists: insights into development and disease, to appear in Proceeding from the Forum of mathematics for Industry 2014, Springer (2015)

Landman, K.A., Newgreen. D.F. PCA modelling of multi-species cell clusters:ganglion development in the gastrointestinal nervous system. To appear in Probabalistic Cellular Automata Springer (2015)

Binder, B.B., Landman, K.A., Newgreen, D.F., Ross, J.V., Incomplete penetrance: The role of stochasticity in developmental cell colonization, J Theor Biol, 380: 309--314 (2015) PDF

Baker, C.M., Hughes, B.F., Landman, K.A. Length-based connectivity metrics and their ecological interpretation, Ecological Indicators 58:192--198 (2015) PDF

Almet, A.A., Pan, M., Hughes, BD Landman, K.A., When push comes to shove: exclusion processes with nonlocal consequences, Physica A 437: 119--129 (2015) PDF

Caffrey, J.R., Hughes, B.D., Britto, J.M., Landman, K.A., An in silico agent-based model demonstrates Reelin function in directing lamination of neurons during cortical development, PlosONE e0110415 11pp (2014) PDF

Zhang, D., Ighaniyan, S., Stathopoulos, L., Rollo, B., Landman, K.A., Hutson J., Newgreen. D. The neural crest: A versatile organ system, Birth Defects Research Part C Journal 102: 275--298 (2014) PDF

Cheeseman, B.L., Newgreen, D.F., Landman, K.A. Spatial and temporal dynamics of cell generations within an invasion wave: a link to cell lineage tracing, J. Theor. Biol. 363:344--356 (2014) PDF

Landman, K.A., Binder, B.J., Newgreen, D.F. Modeling development and disease in the enteric nervous system, J Cellular Automata 7:95--109 (2014) PDF

Chisholm, R.H., Hughes, B.D., Landman, K.A. Erosion by a one-dimensional random walk. Phys. Rev. E 90, 022140 11pp (2014) PDF

Frascoli, F., Kim, P.S. Hughes, B.D. Landman, K.A., A dynamical model of tumour immunotherapy, Mathematical Biosciences, 253:50--62 (2014) PDF

Penington, C.J., Hughes, B.D., Landman, K.A. Interacting motile agents: Taking a mean-field approach beyond monomers and nearest-neighbor steps, Phys. Rev. E 89, 032714, 12pp (2014) PDF

Cheeseman, B.L., Zhang, D.,Binder, B. J., Newgreen, D. F. and Landman, K.A. Cell lineage tracing in the development of the enteric nervous system: superstars revealed by experiment and simulation. J. R. Soc. Interface 11, 20130815, (2014) PDF

Hywood, J.D. and Landman, K.A. Asymmetric random walks, partial differential equations and update schemes. ANZIAM J. 55: 93--108 (2013) PDF

Baker, C.J., Hughes, B.D. and Landman, K.A. Random walks in nonuniform environments with local dynamic interactions, Phys Rev E.88. 042113, 13pp (2013) PDF

Hywood, J.D., Hackett-Jones E.J. and Landman, K.A. Modeling biological tissue growth: Discrete to continuum representations Phys. Rev. E 88, 032704 9pp (2013) PDF

Newgreen, D.F., Dufor, S.,Howard, M.J. and Landman, K.A., Simple rules for a ``simple'' nervous system? Molecular and biomathematical approaches to enteric nervous system formation and malformation,

Dev. Biol., 382:305--319 (2013) PDF

Gonsalvez, D.G., Cane, K.N., Landman, K.A., Enomot, H., Young, H.M. and Anderson, C.R. Proliferation and cell cycle dynamics in the developing stellate ganglion, J Neuroscience, 33:5969--5979 (2013) PDF

Frascoli, F., Hughes, B.D., Zaman, M.H. and Landman, K.A. 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) PDF

Chisholm, R.H., Hughes, B.D., Landman, K.A. and Hutson, J. Mathematical modelling of gubernaculum during inguino-scrotal migration shows limb bud characteristics J. Pediatr. Surg. 48: 1762--1766 (2013) PDF

Chisholm, R.H., Hughes, B.D., Landman, K.A. and Zaman, M.H. Analytic study of three-dimensional single cell migration with and without proteolytic enzymes. Cellular and Molecular Bioengineering, 6:239-249 (2013) PDF

Penington, C.J., Korvasova, K. Hughes, B.D., Landman, K.A. Collective motion of dimers, Phys. Rev. E 86, 051909, 16pp (2012) PDF

Hackett-Jones, E.J., Davies, K.J., Binder, B.J. and Landman, K.A. A generalized index for spatial data sets as a measure of complete spatial randomness, Phys. Rev. E 85, 061908, 9pp. (2012) PDF

Hackett-Jones, E. J., Landman, K. A., Fellner, K. Aggregation patterns from non-local in- teractions: discrete stochastic and continuum modelling, Phys. Rev. E 85, 041912, 12pp. (2012) PDF

Binder, B.J., Landman, K.A. Newgreen, D. F., Simkin, J.E., Takahashi, Y. and Zhang, D. Spatial analysis of multi-species exclusion processes: application to neural crest cell migration in the embryonic gut. Bull. Math. Biol. 74:474-490 (2012) PDF

Binder, B.J., Hackett-Jones, E.J., Tuke, J. and Landman, K.A. A modified Polya urn process and an index for spatial distributions with volume exclusion, ANZIAM J, 53: 122-133 (2011) PDF

Penington, C.J., Hughes, B.D., Landman, K.A. Building macroscale models from microscale probabilistic models: a general probabilistic approach for nonlinear diffusion and multi-species phenomena. Phys. Rev E 84, 041120 12pp (2011) PDF

Hackett-Jones, E.J., Landman, K.A., Newgreen, D.F. and Zhang, D. On the role of differential adhesion in gangliogenesis in the enteric nervous system. Journal of Theoretical Biology 287: 148-159 (2011) PDF

Landman, K.A., Fernando, A.E., Myopic random walkers and exclusion processes: single and multispecies, Physica A 390: 3742-3753 (2011) PDF

Caffrey, J.R., Hughes, BD and Landman, KA. Dispersal, settling and layer formation, Mathematical Biosciences, 232 42-56 (2011) PDF

Binder, B.J. and Landman, K.A. Quantifying evenly distributed states in exclusion and nonexclusion processes, Phys Rev E 83, 041914~ 9pp (2011) PDF

Chisholm, RH, Hughes, BD Landman, KA, Mayer, G. Whitington, PM. When are cellular oscillators sufficient for sequential segmentation? J Theor Biology. 279:150-160 (2011) PDF

Landman, K.A. and White, L.R. Terraced spreading of nano-films under a non-monotonic disjoining pressure, Phys. Fluids 23, 012004 (12 pages) (2011) PDF

Landman, KA, Fernando AE, Zhang D, Newgreen, DF. Building stable chains with motile agents: Insights into the morphology of enteric neural crest cell migration, J Theor Biol 276:250-268 (2011) PDF

Mayer, G. , Kato, C, Quast, B., Chisholm, RH, Landman, KA and Quinn, LM. Growth patterns in Onychophora (velvet worms): lack of a localised posterior proliferation zone, BMC Evolutionary Biology 10:339 (12 pages) (2010) PDF

Chisholm, RH, Hughes, BD and Landman, KA - Building a morphogen gradient without diffusion in a growing tissue. PLoS ONE. 5 e12857~ 9pp (2010) PDF

Simpson, MJ, Landman, KA and Hughes, BD - Cell invasion with proliferation mechanisms motivated by time-lapse data, Physica A 389:3779-3790. (2010) PDF

Zhang, D, Brinas, IM, Binder, BJ, Landman, KA and Newgreen, DF - Neural crest regionalisation for enteric nervous system formation: Implications for Hirschsprung’s Disease and stem cell therapy. Developmental Biology. 339, 280-294 (2010) PDF

Fernando, AE, Landman, KA and Simpson, MJ - Nonlinear diffusion and exclusion processes with contact interactions, Phys Rev E 81, 011903~ 11pp (2010) PDF

Simpson, MJ, Landman, KA, Hughes, BD and Fernando, AE - A model for mesoscale patterns in motile populations, Physica A 389:1412-1424 (2010) PDF

Simpson, MJ, Landman, KA and Hughes, BD - Diffusing Populations: Ghosts or Folks? Australasian J Eng Education 15: 59-67 (2009) PDF

Binder, BJ, and Landman, KA - Tissue growth and the Polya distribution. Australasian J Eng Education. 15: 35-41 (2009) PDF

Trewenack, A.J., Please, C.P. and Landman, K.A. - A continuum model for the development of tissue-engineered cartilage around a chondrocyte, Mathematical Medicine and Biology (2009) PDF

Doran, MR, Mills, RM, Parker, AJ, Landman, KA and Cooper-White, JJ - A cell migration device that maintains a defined surface with no cellular damage during wound edge generation. Lab on a Chip (2009) PDF

Binder, BJ, and Landman, KA. Exclusion processes on a growing domain. J Theor Biology. 259: 541-551 (2009) PDF

Simpson, MJ, Landman, KA and Hughes, BD - Pathlines in exclusion processes, Phys Rev E 79, 031920 5pp (2009) PDF

Simpson, MJ, Landman, KA and Hughes, BD - Distinguishing between directed and undirected cell motility within an invading cell population. Bulletin Math. Biology 71:781-799 (2009) PDF

Tremel, A, CAI, A, Tirtaatmadja, N, Hughes, BD, Stevens, GW, Landman, KA, O’Connor, AJ - Cell migration and proliferation during monolayer formation and wound healing Chem Eng Sci., 64: pp. 247-253 (2009)

Simpson, MJ, Landman, KA and Hughes, BD - Multi-species simple exclusion processes. Physica A, 388, 399-406, (2009)PDF

Trewenack, AJ and Landman, KA - A travelling wave model for invasion by precursor and differentiated cells. Bull Math Biol. 71: 291-317 (2009) PDF

Slater JL, Landman, KA Hughes, BD, Shen, Q and Temple, S - Cell lineage tree models of neurogenesis. J Theor Biol., 256: pp.164-179 (2009)PDF

Binder, BJ, Landman, KA, Simpson, MJ, Mariani M and Newgreen, DF - Modeling proliferative tissue growth: A general approach and an avian case study. Phys Rev E. 78, 031912 13pp (2008) PDF

Landman, KA, Simpson, MJ and Pettet, GJ - Tactically-driven nonmonotone travelling waves. Physica D 237: 678–691 (2008) PDF

Simpson, MJ, and Landman, KA - Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms. Math. and Computers in Simulation 77: pp. 9-21 (2008) PDF

Simpson, MJ, Merrifield, A. Landman, KA and Hughes, BD - Simulating invasion with cellular automata: connecting individual and macroscopic properties. Phys Rev E. 76, 021918 11pp (2007) PDF

Cai, AQ, Landman, KA, Hughes, BD and Witt, C M - T cell development in the thymus: from periodic seeding to constant output. J Theor Biology. 249: 384-394 (2007) PDF

Landman, KA and Cai, AQ - Cell proliferation and oxygen diffusion in a vascularising scaffold. Bulletin Math. Biology. 69: 2405–2428 (2007) PDF

Simpson, MJ and Landman, KA - The accuracy of split operator methods applied to reactive transport with Monod kinetics. Advances in Water Resources. 30:2026-2033 (2007) PDF

Simpson, MJ and Landman, KA - Nonmonotone chemotactic invasion: High-resolution simulations, phase plane analysis and new benchmark problems. J Comp Physics. 225:6-12 (2007) PDF

Landman, KA, Cai, AQ. and Hughes, BD - Travelling waves of attached and detached cells in a wound-healing cell migration assay. Bulletin Math. Biology. 69: 2119–2138 (2007) PDF

Trewenack, AJ, Landman, KA and Bell, BD - Dispersal and settling of translocated populations: a general study and a New Zealand amphibian case study. J. Math. Biology. 55:575-604 (2007) PDF

Simpson, MJ, Landman, KA and Bhaganagarapu, K - Coalescence of interacting cell populations. J Theoretical Biology. 247:525–543 (2007) PDF

Landman, KA, Simpson, MJ and Newgreen DF - Mathematical and experimental insights into the development of the enteric nervous system and Hirschsprung's disease. Development, Growth and Differentiation 49:pp. 277-286 (2007). Invited review paper. PDF

Simpson MJ and Landman, KA. Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms. Math. & Computers in Simulation. In press (2007) PDF

Cai, AQ, Landman, KA and Hughes, BD - Multi-scale modelling of a wound healing cell migration assay, J Theor Biol. 245: pp. 576-594 (2007) PDF

Simpson MJ, Mariani M, Zhang, D. Landman KA, Newgreen DF - Cell proliferation drives neural crest cell invasion of the intestine. Developmental Biology 302: 553–568 (2007). Cover image article. PDF

Simpson MJ, Landman, KA, Hughes, BD, Newgreen DF - Looking inside an invasion wave of cells using continuum models: Proliferation is the key. J Theoretical Biology. 243: 343-360 (2006) PDF

Slater, JL, Hughes, BD, Landman, KA - Evolving mortal networks. Physical Review E, 73, 066111, 13pp (2006) PDF

Simpson MJ, Landman KA and Newgreen DF - Chemotactic and diffusive migration on a non-uniformly growing domain: Numerical algorithm development and applications, Journal of Computational and Applied Mathematics 19: 282-300 (2006) PDF

Simpson MJ and Landman, KA - Characterizing and minimizing the operator split error for Fisher’s equation Applied Mathematics Letters 19:612-620 (2006) PDF

Cai, AQ, Landman, KA and Hughes, BD - Modelling directional guidance and motility regulation in cell migration, Bull Math Biol., 68:25-52 (2006) PDF

Landman KA, Simpson MJ, Slater JL, Newgreen DF - Diffusive and chemotactic cellular migration: Smooth and discontinuous travelling wave solutions, SIAM J Appl Math 65:1420-1442 (2005) PDF

Gilmore, S and Landman KA - Is the skin an excitable medium? Pattern formation in erythema gyratum repens, J Theor Med 6: 57-65 (2005)

Simpson MJ, Landman KA and Clement TP - Assessment of a non-traditional operator-split algorithm for simulation of reactive transport, Mathematics and Computers in Simulation 70:44-60 (2005) PDF

Pel L, Landman KA and Kaasschieter, EF - A sharp drying front model, Drying Technology, 22: 637-647 (2004) PDF

Davey, M, Landman, KA, Perera, JM, Stevens, GW, Lawrence, ND and Iyer, M - Measurement and prediction of the ultrafiltration of whey protein, AIChE J., 50: 1431-1437 (2004) PDF

Chamberlain, J.A., Horrobin, D.J., Landman, K.A., Sader, J.E. Upper and lower bounds for incipient failure in a body under gravitational loading, Journal of Applied Mechanics, 71: 586-589 (2004) PDF

Thompson, C.J., Thompson B.J.P., Ades P.K., Cousens, R., Garnier-Gere, P., Landman, K.A., Newbigen, E., Burgman, M.A. - Model-based analysis of the likelihood of gene introgression from genetically modified crops into wild relatives, Ecological Modelling, 162: 199-209 (2003) PDF

Horrobin, D., Landman K.A., Ryder, L. Interior and surface colour development during wheat grain steaming, J of Food Engineering, 57: 33-43 (2003) PDF

Landman, K.A., Pettet, G., Newgreen, N. F. Mathematical models of cell colonisation of uniformly growing domains, Bull Math Biology, 65: 235-262 (2003) PDF

Landman, K.A., Pettet, G., Newgreen, N. F. Chemotactic cellular migration: Smooth and discontinuous travelling wave solutions, SIAM J Appl Math 63: 1666-1681 (2003) PDF

Horrobin, D., Landman K.A. Ryder, L. Understanding wheat grain steaming, Ind Eng Chem Res 42(17); 4109-4122 (2003) PDF

Chamberlain, J.A., Clayton, S., Sader, J.E., Landman K.A. Experimental validation of an incipient failure technique for measuring yield stress, J of Rheology 47: 1317-1329 (2003) PDF

Augusteyn, R.C., Coulson, G., Landman K.A. - Modelling age-related protein content in kangaroo eye lenses, Aust. J. of Zoology 51:485-494 (2003) PDF

Landman, K.A., McGuinness, M., Modeling the cooking of a cereal grain, in Modeling: Case studies from industry, ed by Fitt, A and Cumberbatch, E, CUP, 2001

Pel L., Landman K.A., Kaasschieter, E.F. Analytic solution for the non-linear drying problem, Int. J of Heat and Mass Transfer 45: 3173 - 3180 (2002) PDF

Davey, M.J., Landman, K.A., McGuinness M.J., Hong, J. Mathematical modelling of rice cooking and dissolution in beer production, AIChE J. 48:1811-1826 (2002) PDF

Chamberlain, J.A., Sader, J.E., Landman, K.A., Horrobin, D., White, L.R. Incipient failure of a circular cylinder under gravity, International Journal of Mechanical Sciences, 44: 1779-1800 (2002) PDF

Landman K.A., Pel L., Kaasschieter, E.F. Analytic Modelling of Drying of Porous Materials, Mathematical Engineering in Industry, 8: 89-122 (2001)

Chamberlain, J.A., Landman, K.A., Sader, J.E., White, L.R. Incipient failure of a rectangular block under gravity, International Journal of Mechanical Sciences, 43: 793-815 (2001) PDF

de Kretser R. G., Usher, S. Scales P., Landman, K.A., Boger, D. V. Rapid Filtration Measurement of Dewatering Design and Optimization Parameters, AIChE J. 47:1758-1769 (2001) PDF

Landman K.A., Please C. Tumour dynamics and necrosis: surface tension and stability, IMA Journal of Mathematics Applied in Medicine and Biology, 18:131-158 (2001)

McGuinness M.J., Landman, K.A., Trodahl, H.J., Pantoja, A.E. Solar radiative heating in first year sea ice, Annals of Glaciology, 33: 261-266 (2001)

Dale, P., Landman, K.A., Pettet, G., McElwain, G.J. Modelling tumour dynamics as a means of determining fractionation protocols in radiotherapy, Int Journal of Math Ed in Sc and Tech, 31: 355-369 (2000) PDF

Landman, K.A. and McGuinness M.J. Mean action time for diffusive processes, J Applied Math and Decision Sciences, 4: 125-141 (2000)

Stapley, A.G.F., Landman, K.A., Please, C.P. and Fryer, P.J. Modelling the steaming of whole wheat grains, Chem Eng Sci 54: 965 – 975 (1999) PDF

Landman, K.A., Stankovitch J.M., White, L.R. Measurement of the filtration diffusivity D(f) of a flocculated suspension, AIChE Journal, 45: 1875 – 1882 (1999) PDF

Moffat, B.A., Landman, K.A., Truscott, R.J.W., Sweeney, M.H.J., Pope, J.M. Age related changes in the kinetics of water transport in human eye lenses, Experimental Eye Research 69: 663-669 (1999) PDF

Landman K.A., Please C. Modelling moisture uptake in a cereal grain, IMA Journal of Mathematics Applied in Business and Industry, 10: 265-287 (1999)

Green, M.D., Landman K.A., de Kretser R. G., Boger, D. V. Pressure filtration technique for complete characterisation of consolidating suspensions, Ind & Eng Chemistry Res., 37: pp 4152-4156 (1998) PDF

Landman, K.A., Pettet, G. Modelling the action of proteinase and inhibitor in trophoblast invasion, Mathematical Biosciences 154: pp 23-37 (1998) PDF

Landman, K.A., White, L.R. Predicting filtration time and maximising throughput in a pressure filter. AIChE. J, 43: pp. 3147-3160 (1997) PDF

Green, M.D., Landman, K.A., Eberl, M. Compressive yield stress of flocculated suspensions: Determination via experiment, AIChE. J, 42: pp. 2308-2318 (1996) PDF

Connolly, T.J., Landman, K.A., White, L.R. On Gerchberg's method for the Fourier inverse problem. J. of Aust Math Soc Series B, 37: pp. 26-44 (1995)

Landman, K.A., White, L.R., Eberl, M. Pressure filtration of flocculated suspensions, AIChE. J, 41: pp. 1687-1700 (1995) PDF

Eberl, M., Landman, K.A., Scales P.J. Prediction and scale up procedures and test methods in solid/liquid separation: a test case on kaolin data plant, Colloids and Surfaces, 103: pp. 1-10 (1995)

Landman, K.A., White, L.R. Solid/liquid separation of flocculated suspensions, Advances in Colloids and Interface Sc. , 51: pp 175-246 (1994)

Landman, K.A., Russel, W.B. Filtration at large pressures for strongly flocculated suspensions, Phys. Fluids A, 5: pp. 550-560 (1993) PDF

Landman, K. A., White, L. R. Determination of the hindered settling factor for flocculated suspensions. AIChE., 38: pp. 184-192 (1992) PDF

Landman, K.A., Sirakoff, C., White, L.R. Dewatering of flocculated suspensions by pressure filtration. Phys. Fluids A, 3: pp. 1495-1509 (1991) PDF

Howells, I., Landman, K.A., Panjkov, A., Sirakoff, C., White, L.R. Time-dependent batch settling of flocculated suspensions. Applied Mathematical Modelling, 14: pp. 77-86 (1990)

Fogden, A., Landman, K. A., White, L. R. Contaminant transport in fractured porous media: Steady state solutions by a Fourier sine transform method. Applied Mathematical Modelling, 13: pp. 160-177 (1989)

Landman, K. A. A boundary integral method for contaminant transport in two adjacent porous media. Australian Math. Soc. J. Series B, 30: pp. 251-267 (1989)

Landman, K.A., White, L.R., Buscall, R. The continuous flow gravity thickener: steady state behavior. AIChE., 34: pp. 239-252 (1988) PDF

Fogden, A., Landman, K.A., White, L.R. Contaminant transport in fractured porous media: Steady state solutions by a boundary integral method. Water Resources Research, 24: pp. 1384-1396 (1988)

Landman, K.A., Delsante, A.E. Steady state heat losses from a building floor slab with vertical edge insulation: Part 2. Building and Environment 22: pp. 49-55 (1987)

Landman, K.A., Delsante, A.E. Steady state heat losses from a building floor slab with horizontal edge insulation. Building and Environment 22: pp. 57-60 (1987)

Landman, K.A., Delsante, A.E. Steady state heat losses from a building floor slab with vertical edge insulation: Part 1. Building and Environment 21: pp. 177-182 (1986)

Landman, K.A. Stability of a viscous compound fluid drop. AIChE. J., 31: pp. 567-573 (1985) PDF

Landman, K.A., Rosenblat, S. Diffusion of contaminant in fractured porous media. Health Physics, 48: pp. 19-28 (1985)

Landman, K.A. A continuum model for surface contraction waves. J. Theor. Biol., 115: pp. 9-25 (1985)

Landman, K.A. A continuum model for a red blood cell transformation; sphere to crenated sphere. J. of Theoretical Biology, 106: pp. 329-352 (1984)

Landman, K.A., Cohen, D.S. Transport of radon through cracks in a concrete slab. Health Physics, 44: pp. 249-257 (1983)

Landman, K.A. On the crenation of a compound liquid droplet. Studies in Applied Math., 69: pp. 51-73 (1983)

Landman, K.A., Greenspan, H.P. On the crenation of coated droplets. Studies in Applied Math., 66: pp. 189-216 (1982)

Landman, K.A. Diffusion of radon through cracks in a concrete slab. Health Physics, 43: pp. 65-71 (1982)

Landman, K.A. Bifurcation and stability of periodic solutions for integrodifferential equations. Studies in Applied Math., 62: pp. 217-248 (1980)

Landman, K.A. Bifurcation and stability of periodic solutions from a zero eigenvalue. J. of Australian Math. Soc. Series B, 21: pp. 2-20 (1979)

Landman, K.A., Rosenblat, S. Bifurcation from a multiple eigenvalue and stability of solutions. SIAM J. Applied Math., 34: pp. 743-759 (1978)

Landman, K. A., Rosenblat, S. Stability of solutions bifurcating from a multiple eigenvalue. Applicable Analysis, 7: pp. 153-157 (1978)