Article

Yang, Fengwei, Venkataraman, Chandrasekhar, Gu, Sai, Styles, Vanessa and Madzvamuse, Anotida (2022) Force estimation during cell migration using mathematical modelling. Journal of Imaging, 8 (7). p. 199. ISSN 2313-433X

King, John R and Venkataraman, Chandrasekhar (2021) Free boundary problems for Stokes flow, with applications to the growth of biological tissues. Interfaces and Free Boundaries, 23 (4). pp. 433-458. ISSN 1463-9963

Al-Hity, Gheed, Yang, FengWei, Campillo-Funollet, Eduard, Greenstein, Andrew E, Hunt, Hazel, Mampay, Myrthe, Intabli, Haya, Falcinelli, Marta, Madzvamuse, Anotida, Venkataraman, Chandrasekhar and Flint, Melanie S (2021) An integrated framework for quantifying immune-tumour interactions in a 3D co-culture model. Communications Biology, 4 (1). a781 1-12. ISSN 2399-3642

Ptashnyk, Mariya and Venkataraman, Chandrasekhar (2020) Multiscale analysis and simulation of a signalling process with surface diffusion. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 18 (2). pp. 851-886. ISSN 1540-3459

Ryder, Lauren S, Dagdas, Yasin F, Kershaw, Michael J, Venkataraman, Chandrasekhar, Madzvamuse, Anotida, Yan, Xia, Cruz-Mireles, Neftaly, Soanes, Darren M, Oses-Ruiz, Miriam, Styles, Vanessa, Sklenar, Jan, Menke, Frank L H and Talbot, Nicholas J (2019) A sensor kinase controls turgor-driven plant infection by the rice blast fungus. Nature, 574. pp. 423-427. ISSN 0028-0836

Krause, Marina, Wei Yang, Feng, Lindert, Mariska te, Isermann, Philipp, Schepens, Jan, Maas, Ralph J A, Eid, Khouloud, Venkataraman, Chandrasekhar, Lammerding, Jan, Madzvamuse, Anotida, Hendriks, Wiljan, Riet, Joost te and Wolf, Katarina (2019) Cell migration through 3D confining pores: speed accelerations by deformation and recoil of the nucleus. Philosophical Transactions B: Biological Sciences, 374 (201802). pp. 1-12. ISSN 0962-8436

Campillo-Funollet, Eduard, Venkataraman, Chandrasekhar and Madzvamuse, Anotida (2019) Bayesian parameter identification for Turing systems on stationary and evolving domains. Bulletin of Mathematical Biology, 81 (1). pp. 81-104. ISSN 0092-8240

Frittelli, Massimo, Madzvamuse, Anotida, Sgura, Ivonne and Venkataraman, Chandrasekhar (2019) Preserving invariance properties of reaction–diffusion systems on stationary surfaces. IMA Journal of Numerical Analysis, 39 (1). pp. 235-270. ISSN 0272-4979

Frittelli, Massimo, Madzvamuse, Anotida, Sgura, Ivonne and Venkataraman, Chandrasekhar (2018) Numerical preservation of velocity induced invariant regions for reaction-diffusion systems on evolving surfaces. Journal of Scientific Computing, 77 (2). pp. 971-1000. ISSN 0885-7474

Lorenzi, Tommaso, Venkataraman, Chandrasekhar, Lorz, Alexander and Chaplain, Mark (2018) The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity. Journal of Theoretical Biology, 451. pp. 101-110. ISSN 0022-5193

Venkataraman, C and Hutridurga, H (2018) Heterogeneity and strong competition in ecology. European Journal of Applied Mathematics. ISSN 0956-7925

Murphy, Laura, Venkataraman, Chandrasekhar and Madzvamuse, Anotida (2018) Parameter identification through mode isolation for reaction-diffusion systems on arbitrary geometries. International Journal of Biomathematics, 11 (4). p. 1850053. ISSN 1793-5245

Frittelli, Massimo, Madzvamuse, Anotida, Sgura, Ivonne and Venkataraman, Chandrasekhar (2017) Lumped finite elements for reaction–cross-diffusion systems on stationary surfaces. Computers & Mathematics with Applications, 74 (12). pp. 3008-3023. ISSN 0898-1221

Elliott, Charles M, Ranner, Thomas and Venkataraman, Chandrasekhar (2017) Coupled bulk-surface free boundary problems arising from a mathematical model of receptor-ligand dynamics. SIAM Journal on Mathematical Analysis, 49 (1). pp. 360-397. ISSN 0036-1410

Yang, Feng Wei, Venkataraman, Chandrasekhar, Styles, Vanessa and Madzvamuse, Anotida (2017) A robust and efficient adaptive multigrid solver for the optimal control of phase field formulations of geometric evolution laws. Communications in Computational Physics, 21 (1). pp. 65-92. ISSN 1815-2406

Upadhyay, Ranjit Kumar, Roy, Parimita, Venkataraman, C and Madzvamuse, A (2016) Wave of chaos in a spatial eco-epidemiological system: generating realistic patterns of patchiness in rabbit-lynx dynamics. Mathematical Biosciences, 281. pp. 98-119. ISSN 0025-5564

Yang, Feng Wei, Venkataraman, Chandrasekhar, Styles, Vanessa, Kuttenberger, V, Horn, E, von Guttenberg, Z and Madzvamuse, Anotida (2016) A computational framework for particle and whole cell tracking applied to a real biological dataset. Journal of Biomechanics, 49 (8). pp. 1290-1304. ISSN 0021-9290

Sekimura, Toshio, Venkataraman, Chandrasekhar and Madzvamuse, Anotida (2015) A model for selection of eyespots on butterfly wings. PLoS ONE, 10 (11). pp. 1-23. ISSN 1932-6203

Blazakis, Konstantinos N, Madzvamuse, Anotida, Reyes-Aldasoro, Constantino-Carlos, Styles, Vanessa and Venkataraman, Chandrasekhar (2015) Whole cell tracking through the optimal control of geometric evolution laws. Journal of Computational Physics, 297. pp. 495-514. ISSN 0021-9991

Croft, Wayne, Elliott, Charles M, Ladds, Graham, Stinner, Björn, Venkataraman, Chandrasekhar and Weston, Cathryn (2015) Parameter identification problems in the modelling of cell motility. Journal of Mathematical Biology, 71 (2). pp. 399-436. ISSN 0303-6812

Madzvamuse, Anotida, Chung, Andy H W and Venkataraman, Chandrasekhar (2015) Stability analysis and simulations of coupled bulk-surface reaction–diffusion systems. Proceedings of the Royal Society A, 471 (2175). a20140546. ISSN 1364-5021

Venkataraman, Chandrasekhar and Elliott, Charles M (2015) Error analysis for an ALE evolving surface finite element method. Numerical Methods for Partial Differential Equations, 31 (2). pp. 459-499. ISSN 0749-159X

Lubich, Christian, Mansour, Dhia and Venkataraman, Chandrasekhar (2013) Backward difference time discretization of parabolic differential equations on evolving surfaces. IMA Journal of Numerical Analysis, 33 (4). pp. 1365-1385. ISSN 0272-4979

Lakkis, Omar, Madzvamuse, Anotida and Venkataraman, Chandrasekhar (2013) Implicit-explicit timestepping with finite element approximation of reaction-diffusion systems on evolving domains. SIAM Journal on Numerical Analysis, 51 (4). pp. 2309-2330. ISSN 0036-1429

Elliott, Charles M, Stinner, Björn and Venkataraman, Chandrasekhar (2012) Modelling cell motility and chemotaxis with evolving surface finite elements. Journal of the Royal Society, Interface, 9 (76). pp. 3027-3044. ISSN 1742-5662

Venkataraman, Chandrashekar, Lakkis, Omar and Madzvamuse, Anotida (2012) Global existence for semilinear reaction-diffusion systems on evolving domains. Journal of Mathematical Biology, 64 (1-2). pp. 41-67. ISSN 0303-6812

Venkataraman, Chandrasekhar, Sekimura, Toshio, Gaffney, Eamonn A, Maini, Philip K and Madzvamuse, Anotida (2011) Modeling parr-mark pattern formation during the early development of Amago trout. Physical Review E (PRE), 84 (4). 041923 1-13. ISSN 1539-3755

Book Section

Sekimura, Toshio and Venkataraman, Chandrasekhar (2017) Spatial variation in boundary conditions can govern selection and location of eyespots in butterfly wings. In: Sekimura, Toshio and Nijhout, H Frederik (eds.) Diversity and evolution of butterfly wing patterns: an integrative approach. Springer, Singapore, pp. 107-118. ISBN 9789811049552

Blazakis, K, Reyes-Aldasoro, C C, Styles, V, Venkataraman, C and Madzvamuse, A (2015) An optimal control approach to cell tracking. In: Louis, Alfred K, Arridge, Simon and Rundell, Bill (eds.) Proceedings of the Inverse Problems from Theory to Applications Conference (IPTA2014). IOP Publishing Ltd, pp. 74-77. ISBN 9780750311069

Venkataraman, C, Lakkis, O and Madzvamuse, A (2013) Adaptive finite elements for semilinear reaction-diffusion systems on growing domains. In: Cangiani, Andrea and et al, (eds.) Numerical mathematics and advanced applications 2011: proceedings of ENUMATH 2011. Springer, Berlin, pp. 71-82. ISBN 9783642331336

Conference or Workshop Item

Yang, F, Venkataraman, C, Styles, V and Madzvamuse, A (2015) A parallel and adaptive multigrid solver for the solutions of the optimal control of geometric evolution laws in two and three dimensions. In: 4th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2015, 29 June-1 July 2015, Paris, France.

Yang, Feng Wei, Madzvamuse, Anotida and Venkataraman, Chandrasekhar (2015) Whole cell tracking and movement reconstruction through an optimal control problem. In: Seminar at iBiDi, Munich, Germany, 8 June, 2015, Munich, Germany.

Conference Proceedings

Chaplain, Mark A J, Lorenzi, Tommaso, Lorz, Alexander and Venkataraman, Chandrasekhar (2019) Mathematical modelling of phenotypic selection with solid tumours. ENUMATH 2017, Voss, Norway, 25-29 September 2017. Published in: Radu, Florin Adrian, Kumar, Kundan, Berre, Inga, Nordbotten, Jan Martin and Pop, Iuliu Sorin, (eds.) Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2017. 126 237-245. Springer ISSN 1439-7358 ISBN 9783319964140

Elliott, Charles Martin, Stinner, Bjorn, Styles, Vanessa, Venkataraman, Chandrasekhar and Unset (2015) Modelling and simulation of cell migration in heterogeneous media. 4th International Conference Computational & Mathematical Biomedical Engineering, Paris, France, 29 June - 01 July, 2015. Published in: Nithiarasu, Perumal and Budyn, Elisa, (eds.) CMBE15: 4th International Conference on Computational & Mathematical Biomedical Engineering, 29th June - 1st July 2015 École Normale Supéerieure de Cachan, Cachan (Paris) France. 401-404. CMBE, Swansea, UK. ISBN 9780956291431

Thesis

Venkataraman, Chandrasekhar (2011) Reaction-diffusion systems on evolving domains with applications to the theory of biological pattern formation. Doctoral thesis (DPhil), University of Sussex.