Alf Gerisch
Cited by
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Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
A Gerisch, MAJ Chaplain
Journal of Theoretical Biology 250 (4), 684-704, 2008
Angiogenesis in bone fracture healing: a bioregulatory model
L Geris, A Gerisch, J Vander Sloten, R Weiner, H Van Oosterwyck
Journal of theoretical biology 251 (1), 137-158, 2008
Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation
V Andasari, A Gerisch, G Lolas, AP South, MAJ Chaplain
Journal of mathematical biology 63, 141-171, 2011
Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns
P Domschke, D Trucu, A Gerisch, MAJ Chaplain
Journal of theoretical biology 361, 41-60, 2014
A nonlocal model for contact attraction and repulsion in heterogeneous cell populations
KJ Painter, JM Bloomfield, JA Sherratt, A Gerisch
Bulletin of mathematical biology 77, 1132-1165, 2015
Robust numerical methods for taxis–diffusion–reaction systems: Applications to biomedical problems
A Gerisch, MAJ Chaplain
Mathematical and computer modelling 43 (1-2), 49-75, 2006
A hybrid bioregulatory model of angiogenesis during bone fracture healing
V Peiffer, A Gerisch, D Vandepitte, H Van Oosterwyck, L Geris
Biomechanics and modeling in mechanobiology 10, 383-395, 2011
A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties
Q Grimal, K Raum, A Gerisch, P Laugier
Biomechanics and modeling in mechanobiology 10, 925-937, 2011
Spatial distribution of tissue level properties in a human femoral cortical bone
D Rohrbach, S Lakshmanan, F Peyrin, M Langer, A Gerisch, Q Grimal, ...
Journal of biomechanics 45 (13), 2264-2270, 2012
Mathematical modeling of fracture healing in mice: comparison between experimental data and numerical simulation results
L Geris, A Gerisch, C Maes, G Carmeliet, R Weiner, J Vander Sloten, ...
Medical and Biological Engineering and Computing 44, 280-289, 2006
Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study
R Penta, A Gerisch
Computing and Visualization in Science 17, 185-201, 2015
The asymptotic homogenization elasticity tensor properties for composites with material discontinuities
R Penta, A Gerisch
Continuum Mechanics and Thermodynamics 29, 187-206, 2017
Operator splitting and approximate factorization for taxis–diffusion–reaction models
A Gerisch, JG Verwer
Applied Numerical Mathematics 42 (1-3), 159-176, 2002
Mathematical modeling in wound healing, bone regeneration and tissue engineering
L Geris, A Gerisch, RC Schugart
Acta biotheoretica 58, 355-367, 2010
A positive splitting method for mixed hyperbolic‐parabolic systems
A Gerisch, DF Griffiths, R Weiner, MAJ Chaplain
Numerical Methods for Partial Differential Equations: An International …, 2001
High-order linearly implicit two-step peer–finite element methods for time-dependent PDEs
A Gerisch, J Lang, H Podhaisky, R Weiner
Applied Numerical Mathematics 59 (3-4), 624-638, 2009
Mathematical modelling of cell adhesion and its applications to developmental biology and cancer invasion
A Gerisch, KJ Painter
Cell mechanics: from single scale-based models to multiscale modeling 2, 319-350, 2010
A space-jump derivation for non-local models of cell–cell adhesion and non-local chemotaxis
A Buttenschön, T Hillen, A Gerisch, KJ Painter
Journal of mathematical biology 76, 429-456, 2018
The positivity of low-order explicit Runge-Kutta schemes applied in splitting methods
A Gerisch, R Weiner
Computers & Mathematics with Applications 45 (1-3), 53-67, 2003
The positivity of low-order explicit Runge-Kutta schemes applied in splitting methods
A Gerisch, R Weiner
Computers & Mathematics with Applications 45 (1-3), 53-67, 2003
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