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2018

Calcium-pectin chemistry and biomechanics: Biological background and mathematical modelling

Ptashnyk, M. & Allen, H. R., 9 Jun 2018, Plant Biomechanics: From Structure to Function at Multiple Scales. Springer International Publishing, p. 273-303 31 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)
2016

Fiscal schemes for joint development of petroleum in disputed areas: A primer and an evaluation

Daniel, P., Veung, C. & Watson, A., Sep 2016, International Taxation and the Extractive Industries: Resources Without Borders. Daniel, P., Keen, M., Thuronyi, V. & Swistak, A. (eds.). United Kingdom: Taylor & Francis, p. 264-305 42 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Lyapunov-Schmidt and Centre Manifold reduction methods for nonlocal PDEs modelling animal aggregations

Buono, P-L. & Eftimie, R., 2016, Mathematical sciences with multidisciplinary applications: in honor of Professor Christiane Rousseau. And in recognition of the Mathematics for Planet Earth Initiative. Toni, B. (ed.). Springer International Publishing, Vol. 157. p. 29-59 31 p. (Springer proceedings in mathematics & statistics; vol. 157).

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)
2015

Solving a Maxwell interface problem by a local L2projected C0finite element method

Duan, H., Lin, P. & Tan, R. C. E., 2015, Numerical Mathematics and Advanced Applications ENUMATH 2013: Proceedings of the ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013. Abdulle, A., Deparis, S., Kressner, D., Nobile, F. & Picasso, M. (eds.). Switzerland: Springer International Publishing, p. 795-802 8 p. (Lecture Notes in Computational Science and Engineering; vol. 103).

Research output: Chapter in Book/Report/Conference proceedingChapter

2014

An augmented lagrangian method for the microstructure of a liquid crystal model

Lin, P. & Tai, X. C., 19 Jun 2014, Computational Methods in Applied Sciences. Fitzgibbon, W., Kuznetsov, Y. A., Neittaanmaki, P. & Pironneau, O. (eds.). Springer Netherlands, Vol. 34. p. 123-137 15 p. (Computational Methods in Applied Sciences; vol. 34).

Research output: Chapter in Book/Report/Conference proceedingChapter

Planetary protection in the extreme environments of low-mass stars

Vidotto, A. A., Jardine, M., Morin, J., Donati, J. -F., Lang, P. & Russell, A. J. B., 24 Aug 2014, Magnetic fields throughout stellar evolution: Proceedings of the international Astronomical Union Symposia and Colloquia. Petit, P., Jardine, M. & Spruit, H. (eds.). Cambridge: Cambridge University Press, p. 237-238 2 p. (IAU Symposium Proceedings Series).

Research output: Chapter in Book/Report/Conference proceedingChapter

2010

Agent-based cell modeling: application to breast cancer

Macklin, P. & Edgerton, M. E., 2010, Multiscale modeling of cancer: an integrated experimental and mathematical modeling approach. Cristini, V. & Lowengrub, J. (eds.). Cambridge University Press, p. 206-234 29 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

8 Citations (Scopus)

Agent-based modeling of ductal carcinoma in situ: application to patient-specific breast cancer modeling

Macklin, P., Kim, J., Tomaiuolo, G., Edgerton, M. E. & Cristini, V., 2010, Computational biology: issues and applications in oncology. Pham, T. (ed.). Springer , p. 77-111 35 p. (Applied bioinformatics and biostatistics in cancer research; no. 77(3)).

Research output: Chapter in Book/Report/Conference proceedingChapter

Biological background

Cristini, V., Lowengrub, J. & Macklin, P., 2010, Multiscale modeling of cancer: an integrated experimental and mathematical modeling approach. Cambridge University Press, p. 8-23 16 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Discrete cell modelling

Macklin, P., Edgerton, M. E., Lowengrub, J. S. & Cristini, V., 2010, Multiscale modeling of cancer: an integrated experimental and mathematical modeling approach. Cristini, V. & Lowengrub, J. (eds.). Cambridge University Press, p. 88-122 35 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Multiscale modeling of colonic crypts and early colorectal cancer

Fletcher, A. G., Mirams, G. R., Murray, P. J., Walter, A., Kang, J. W., Cho, K. H., Maini, P. K. & Byrne, H. M., 1 Jan 2010, Multiscale Cancer Modeling. CRC Press, 24 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)

The sequential quadratic programming method

Fletcher, R., 2010, Nonlinear optimization. Morel, J-M., Takens, F. & Teissier, B. (eds.). Berlin: Springer , p. 165-214 50 p. (Lecture notes in mathematics; vol. 1989).

Research output: Chapter in Book/Report/Conference proceedingChapter

17 Citations (Scopus)
2009

The history and development of numerical analysis in Scotland: a personal perspective

Watson, G. A., Nov 2009, The Birth of Numerical Analysis. World Scientific Publishing , p. 161-178 18 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

2008

Modelling aspects of cancer growth: insight from mathematical and numerical analysis and computational simulation

Chaplain, M. A. J., 2008, Multiscale problems in the life sciences: from microscopic to macroscopic. Capasso, V. & Lachowicz, M. (eds.). Berlin: Springer , Vol. 19405. p. 147-200 54 p. (Lecture notes in mathematics; no. 1940).

Research output: Chapter in Book/Report/Conference proceedingChapter

26 Citations (Scopus)

Nonlinear modeling and simulation of tumor growth

Cristini, V., Frieboes, H. B., Li, X., Lowengrub, J. S., Macklin, P., Sanga, S., Wise, S. M. & Zheng, X., 2008, Selected topics in cancer modeling: genesis, evolution, immune competition, and therapy. Bellomo, N., Chaplain, M. & De Angelis, E. (eds.). Springer , p. 113-182 70 p. (Modeling and simulation in science, engineering and technology).

Research output: Chapter in Book/Report/Conference proceedingChapter

17 Citations (Scopus)

Numerical simulation of gas bubbles rising in viscous liquids at high Reynolds number

Hua, J., Stene, J. F. & Lin, P., 2008, Moving Interface Problems and Applications in Fluid Dynamics. Khoo, B. C., Li, Z. & Lin, P. (eds.). American Mathematical Society, (Contemporary mathematics; vol. 466).

Research output: Chapter in Book/Report/Conference proceedingChapter

2007

Berkeley Award Lecture: mathematical modelling of the form and function of fungal mycelia

Davidson, F. A., 2007, Fungi in the environment. Gadd, G., Watkinson, S. C. & Dyer, P. S. (eds.). Cambridge University Press, p. 58-74 17 p. (British Mycological Society Symposia; no. 25).

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Fundamental concepts

Hornig, G., 2007, Reconnection of magnetic fields: magnetohydrodynamics and collisionless theory and observations. Birn, J. & Priest, E. (eds.). Cambridge: Cambridge University Press, p. 24-44 21 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Mathematical models of cancer growth and development

Chaplain, M. A. J., 2007, The cancer handbook. Alison, M. R. (ed.). 2nd ed. Chichester: Wiley, p. 936-953 18 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Properties of eigenfunctions of non-local operators

Davidson, F. A. & Dodds, N., 2007, Proceedings of minisymposia and contributed talks of EQUADIFF-11: International conference on differential equations Czecho-Slovak series. Comenius University Press, p. 57-66

Research output: Chapter in Book/Report/Conference proceedingChapter

Three-dimensional reconnection at magnetic null points

Pontin, D. I., 2007, Reconnection of magnetic fields: magnetohydrodynamics and collisionless theory and observations. Birn, J. & Priest, E. (eds.). Cambridge University Press, p. 62-73 12 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Three-dimensional reconnection in the absence of magnetic null points

Hornig, G., 2007, Reconnection of magnetic fields: magnetohydrodynamics and collisionless theory and observations. Cambridge University Press, p. 45-61 17 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

2006

A new low-rank quasi-Newton update scheme for nonlinear programming

Fletcher, R., 2006, System modeling and optimization: proceedings of the 22nd IFIP TC7 Conference held from , July 18-22, 2005, Turin, Italy. Ceragioli, F., Dontchev, A., Furuta, H., Marti, K. & Pandolfi, L. (eds.). New York: Springer , p. 275-293 (IFIP Advances in Information and Communication Technology; no. 199).

Research output: Chapter in Book/Report/Conference proceedingChapter

4 Citations (Scopus)

Mathematical modelling of spatio-temporal phenomena in tumour immunology

Chaplain, M. & Matzavinos, A., 2006, Tutorials in mathematical biosciences III: cell cycle, proliferation, and cancer. Friedman, A. (ed.). Berlin: Springer , p. 131-183 53 p. (Lecture notes in mathematics; vol. 1872).

Research output: Chapter in Book/Report/Conference proceedingChapter

2005

A splitting moving mesh method for 3-D quenching and blow-up problems

Liang, K. & Lin, P., 2005, Recent advances in adaptive computation: proceedings of the International Conference on Recent Advances in Adaptive Computation, Hangzhou, China, May 24-28, 2004. Shi, Z-C., Chen, Z., Tang, T. & Yu, D. (eds.). American Mathematical Society, p. 311-324 14 p. (Contemporary mathematics; no. 383).

Research output: Chapter in Book/Report/Conference proceedingChapter

D'Arcy Thompson: nature and design through growth and form

Chaplain, M. A. J., 2005, Nature and design. Collins, M. W., Atherton, M. A. & Bryant, J. A. (eds.). WIT Press, p. 85-93 9 p. (Design and nature; vol. 1).

Research output: Chapter in Book/Report/Conference proceedingChapter

2004

Magnetic reconnection

Priest, E. R. & Pontin, D. I., 2004, The sun and the heliosphere as an integrated system. Poletto, G. & Suess, S. T. (eds.). Dordrecht: Kluwer Academic Publishers, p. 397-422 24 p. (Astrophysics and space science library; vol. 317).

Research output: Chapter in Book/Report/Conference proceedingChapter

Mathematical modeling of tumour-induced angiogenesis: network growth and structure

Chaplain, M. & Anderson, A., 2004, Angiogenesis in brain tumors. Kirsch, M. & Black, P. M. (eds.). Boston ; London: Kluwer Academic Publishers, p. 51-75 25 p. (Cancer treatment and research; no. 117).

Research output: Chapter in Book/Report/Conference proceedingChapter

Reconnection in magnetic and vorticity fields

Hornig, G., 2004, Tubes, sheets and singularities in fluid dynamics: proceedings of the NATO ARW, 2-7 September 2001, Zakopane, Poland. Bajer, K. & Moffatt, H. K. (eds.). Kluwer Academic Publishers, p. 133-138 6 p. (Fluid Mechanics and its Applications; vol. 71).

Research output: Chapter in Book/Report/Conference proceedingChapter

2003

Mathematical modelling of solid tumour growth: applications of pre-pattern formation

Chaplain, M. A. J., Ganesh, M., Graham, I. G. & Lolas, G., 2003, Morphogenesis and pattern formation in biological systems: experiments and models. Sekimura, T., Noji, S., Ueno, N. & Maini, P. K. (eds.). Tokyo: Springer , p. 283-294 12 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Mathematical modelling of tissue invasion

Chaplain, M. A. J. & Anderson, A. R. A., 2003, Cancer modelling and simulation. Preziosi, L. (ed.). Boca Raton: Chapman & Hall/CRC, p. 269-297 29 p. (Chapman & Hall/CRC mathematical biology and medicine series).

Research output: Chapter in Book/Report/Conference proceedingChapter

Optimal airline booking control with cancellations

Feng, Y., Lin, P. & Xiao, B., 2003, Stochastic modeling and optimization: with applications in queues, finance, and supply chains. Springer , p. 395-427 33 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

2002

A third-order topological invariant for three magnetic fields

Mayer, C. & Hornig, G., 2002, Tubes, sheets and singularities in fluid dynamics: proceedings of the NATO ARW, 2-7 September 2001, Zakopane, Poland. Bajer, K. & Moffatt, H. K. (eds.). Kluwer Academic Publishers, p. 151-156 6 p. (Fluid mechanics and its applications; no. 71(3)).

Research output: Chapter in Book/Report/Conference proceedingChapter

Mathematical models in cancer research

Chaplain, M. A. J., 2002, The cancer handbook. Alison, M. R. (ed.). Nature Publishing Group, p. 937-951 15 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

2001

The geometry of magnetic and vortex reconnection

Hornig, G., 2001, Quantized vortex dynamics and superfluid turbulence. Barenghi, C. F., Donnelly, R. J. & Vinen, W. F. (eds.). Springer , p. 373-379 7 p. (Lecture Notes in Physics; vol. 571).

Research output: Chapter in Book/Report/Conference proceedingChapter

The geometry of reconnection

Hornig, G., 2001, An introduction to the geometry and topology of fluid flows. Ricca, R. L. (ed.). Kluwer Academic Publishers, p. 295-312 18 p. (Nato Science Series II: Mathematics, Physics and Chesmistry; vol. 47).

Research output: Chapter in Book/Report/Conference proceedingChapter

2000

Matematica

Translated title of the contribution: MathematicsEftimie, R., 2000, Examene 2001. Teste pentru capacitate. Limba și literatura română. Istorie. Matematică. Geografie. Polirom, (GYMNASIUM).

Research output: Chapter in Book/Report/Conference proceedingChapter

1999

Modelling the growth and form of capillary networks

Chaplain, M., 1999, On growth and form: spatio-temporal pattern formation in biology. Chaplain, M. A. J., Singh, G. D. & McLachlan, J. C. (eds.). Chichester: Wiley, p. 225-250 26 p. (Wiley series in mathematical and computational biology).

Research output: Chapter in Book/Report/Conference proceedingChapter

The evolution of magnetic helicity under reconnection

Hornig, G., 1999, Magnetic helicity in space and laboratory plasmas. Brown, M. R., Canfield, R. C. & Pevtsov, A. A. (eds.). American Geophysical Union, p. 157-165 9 p. (Geophysical monographs; vol. 111).

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)
1998

Mathematical modeling of tumor-induced angiogenesis

Chaplain, M. A. J. & Orme, M. E., 1998, Vascular morphogenesis: in vivo, in vitro, in mente. Little, C. D., Mironov, V. & Sage, E. H. (eds.). Boston: Birkhauser, p. 205-240 36 p. (Cardiovascular molecular morphogenesis).

Research output: Chapter in Book/Report/Conference proceedingChapter

The mathematical modelling of cancer: a review: a review

Panetta, J. C., Chaplain, M. A. J. & Adam, J. A., 1998, Mathematical models in medical and health science. Horn, M. A., Simonett, G. & Webb, G. F. (eds.). Vanderbilt University Press, p. 281-309 29 p. (Innovations in applied mathematics).

Research output: Chapter in Book/Report/Conference proceedingChapter

1996

From mutation to metastasis: the mathematical modelling of the stages of tumour development

Chaplain, M. A. J., 1996, A survey of models for tumor-immune system dynamics. Adam, J. A. & Bellomo, N. (eds.). Boston, Mass.: Birkhauser, p. 187-236 50 p. (Modeling and simulation in science, engineering and technology).

Research output: Chapter in Book/Report/Conference proceedingChapter

1993

The development of a spatial pattern in a model for cancer growth

Chaplain, M. A. J., 1993, Experimental and theoretical advances in biological pattern formation. Othmer, H. G., Maini, P. K. & Murray, J. D. (eds.). Plenum Press, p. 45-60 16 p. (Experimental and theoretical advances in biological pattern formation).

Research output: Chapter in Book/Report/Conference proceedingChapter