Andreas Deutsch
Andreas Deutsch is the head of the department. He has a diploma in mathematics, a PhD in biology, and a habilitation in theoretical biology.
Publications
2025
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Individual particle persistence antagonizes global ordering in populations of nematically aligning self-propelled particles
Phys. Rev. E
2024
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Die sexuelle Revolution in der Algenforschung: Eine Hommage zum 200. Geburtstag von Nathanael Pringsheim.
Biologie in unserer Zeit
2023
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Cell jamming in a collagen-based interface assay is tuned by collagen density and proteolysis
Journal of Cell Science -
Vectorial active matter on the lattice: polar condensates and nematic filaments
New Journal of Physics -
Artificial patterns in spatially discrete models of cell migration and how to mitigate them
BIOMATH -
The dichotomous role of anisotropic sensing in pattern generation and disruption
Physica A: Statistical Mechanics and its Applications
2022
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Discrete models of complex systems: Recent trends and analytical challenges
Physica D: Nonlinear Phenomena -
The impact of tumor associated macrophages on tumor biology under the lens of mathematical modelling: A review
Frontiers in Immunology
2021
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Inferring the effect of interventions on COVID-19 transmission networks
Scientific Reports -
BIO-LGCA: a cellular automaton modelling class for analysing collective cell migration
PLOS Comp. Biol.
2020
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Entropy-driven cell decision-making predicts "fluid-to-solid" transition in multicellular systems
New Journal of Physics -
Cell–cell adhesion and 3D matrix confinement determine jamming transitions in breast cancer invasion
Nature Cell Biology -
Multi-scale analysis and modelling of collective migration in biological systems
Philosophical Transactions of the Royal Society B: Biological Sciences -
Molecular characterization of astrocytoma progression towards secondary glioblastomas utilizing patient-matched tumor pairs
Cancers -
A phase-field approach to trabecular bone remodeling
Frontiers in Applied Mathematics and Statistics -
Cellular Automaton Modeling of Tumor Invasion
Encyclopedia of Complexity and Systems Science -
Modeling collective cell motion: are on- and off-lattice models equivalent?
Philosophical Transactions B
2019
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Patterns of tumor progression predict small and tissue-specific tumor-originating niches
Front. Oncol., 8, 668, 2019 [DOI] -
Stem cell-associated heterogeneity in Glioblastoma results from intrinsic tumor plasticity shaped by the microenvironment
Nature Communications, 10 (1), 1787, 2019 [DOI] -
Analysis of microscopic bone properties in an osteoporotic sheep model - A combined biomechanics, FE and ToF-SIMS study
Journal of the Royal Society Interface, 16 (151), 20180793, 2019 [DOI] -
A Lattice-Gas Cellular Automaton Model for Discrete Excitable Media
in Spirals and Vortices, Müller and Tsuji(Eds.), Chapter - 15, 253-264, Springer, 2019 [DOI]
2018
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Whither Systems Medicine?
Experimental & Molecular Medicine, 50, e453, 2018 [DOI]
2017
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The biology and mathematical modelling of glioma invasion: a review
Journal of the Royal Society Interface 14 (136), 20170490, 2017 [DOI] -
CellTrans: An R package to quantify stochastic cell state transitions
Bioinformatics and Biology Insights 11, 1-14, 2017 [DOI] -
Arginine Deprivation Therapy: Putative Strategy to Eradicate Glioblastoma Cells by Radiosensitization
Molecular Cancer Therapeutics 17 (2), 393-406, 2017 [DOI] -
Obituary: Hans Meinhardt (1938–2016)
Bull. Math. Biol., 79, 2, 383-388, 2017 [DOI] -
Cellular automaton models for time-correlated random walks: derivation and analysis
Scientific Reports, 7, 1, 16952, 2017 [DOI] -
Extracting cellular automaton rules from physical Langevin equation models for single and collective cell migration
J. Math. Biol., 75, 5, 1075-1100, 2017 [DOI] -
Cell adhesion heterogeneity reinforces tumour cell dissemination: novel insights from a mathematical model
Biology Direct, 12, 1, 18, 2017 [DOI] -
Amoeboid-mesenchymal migration plasticity promotes invasion only in complex heterogeneous microenvironments
Scientific Reports, 7, 9237, 2017 [DOI]
2016
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Why one-size-fits-all vaso-modulatory interventions fail to control glioma invasion: in silico insights
Scientific Reports, 6, 37283, 2016 [DOI] -
The extrinsic noise effect on lateral inhibition differentiation waves
Transactions on Modeling and Computer Simulation, 26, 3, 19, 2016 [DOI] -
Accelerated cell divisions drive the outgrowth of the regenerating spinal cord in axolotls
eLife, 5, e20357, 2016 [DOI]
2015
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An Emerging Allee Effect Is Critical for Tumor Initiation and Persistence
PLoS Comput Biol, 11, 9, e1004366, 2015 [DOI] -
Model-Based Evaluation of Spontaneous Tumor Regression in Pilocytic Astrocytoma
PLoS Comput Biol, 11, 12, e1004662, 2015 [DOI] -
Cellular automaton models for collective cell behaviour
Lecture Notes in Computer Science, 9099, 1-10, 2015 [DOI] -
Model-based comparison of cell density-dependent cell migration strategies
Mathematical Modelling Natural Phenomena, 10, 1, 94-107, 2015 [DOI] -
Analysis of Individual Cell Trajectories in Lattice-Gas Cellular Automaton Models for Migrating Cell Populations
Bulletin of Mathematical Biology, 77, 4, 1-38, 2015 [DOI] -
Impaired extracellular matrix structure resulting from malnutrition in ovariectomized mature rats
Histochemistry and Cell Biology, 144, 2015 [DOI] -
Self-propelled rods exhibit a novel phase-separated state characterized by the presence of active stresses and the ejection of polar clusters.
Physical Review E, 92, 1, 012322, 2015 [DOI]
2014
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Evolutionary game theory: molecules as players
Mol. BioSyst., 10, 12, 3066-3074, 2014 [DOI] -
How Does a Single Cell Know When the Liver Has Reached Its Correct Size?
PLoS ONE, 9, 4, e93207, 2014 [DOI] -
Evolutionary game theory: cells as players
Mol. BioSyst., 10, 3044-3065, 2014 [DOI] -
Change of mechanical vertebrae properties due to progressive osteoporosis: combined biomechanical and finite-element analysis within a rat model
Med. Biol. Eng. Comput., 52, 4, 405-414, 2014 [DOI] -
GlioMath-DD: A multidisciplinary approach to study glioma evolution and identify targets for individualized therapies
Proceedings of the 105th Annual Meeting of the AACR, Cancer Research, 74, 19 Supplement, Abstract nr 5341, 2014 [DOI] -
Autoregressive Higher-Order Hidden Markov Models: Exploiting Local Chromosomal Dependencies in the Analysis of Tumor Expression Profiles
PLoS ONE, 9, 6, e100295, 2014 [DOI] -
Morpheus: a user-friendly modeling environment for multiscale and multicellular systems biology
Bioinformatics, 30, 9, 1331-1332, 2014 [DOI] -
Enabling multiscale modeling in systems medicine
Genome Medicine, 6, 3, 2014 [DOI]
2013
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Interacting Cell Systems
In: Dubitzky et al. (eds.), Encyclopedia of Systems Biology, Springer, 2013
[Encyclopedia of Systems Biology]
2012
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Investigation of the migration/proliferation dichotomy and its impact on avascular glioma invasion
Math. Model. Nat. Phenom., 7, 1, 105-135, 2012 [DOI] -
Collective motion in biological systems
Interface Focus, 2, 6, 689-692, 2012 [DOI] -
A general theoretical framework to infer endosomal network dynamics from quantitative image analysis
Curr. Biol., 22, 15, 1381 - 1390, 2012 [DOI] -
‘Go or Grow’: the key to the emergence of invasion in tumour progression?
Math. Med. Biol., 29, 1, 49-65, 2012 [DOI] -
A lattice-gas cellular automaton model for in vitro sprouting angiogenesis
Acta Phys. Pol. B, 5, 1, 99-115, 2012 [DOI] -
Collective motion and nonequilibrium cluster formation in colonies of gliding bacteria
Phys. Rev. Lett., 108, 9, 098102, 2012 [DOI]
2011
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Computational analysis of the influence of microenvironment on carcinogenesis
Math. Biosci., 229, 1, 22-29, 2011 [DOI] -
Analysis of lattice-gas cellular automaton models for tumor growth by means of fractal scaling
Acta Phys. Pol. B. Proc. Suppl., 4, 2, 167, 2011 [DOI] -
Early embryonic vascular patterning by matrix-mediated paracrine signalling: a mathematical model study
PLoS One, 6, 9, e24175, 2011 [DOI] -
Nutritional resources as positional information for morphogenesis in the stony coral stylophora pistillata
J. Theor. Biol., 275, 1, 70 - 77, 2011 [DOI] -
Chemotaxis of mesenchymal stem cells within 3D biomimetic scaffolds--a modeling approach
J. Biomech., 44, 2, 359 - 364, 2011 [DOI] -
The CORALZOO project: a synopsis of four years of public aquarium science
JMBA, 1-16, 2011 [DOI] -
Traffic jams, gliders and bands in the quest for collective motion of self-propelled particles
Phys. Rev. Lett., 106, 12, 128101, 2011 [DOI] -
Universal synthesizer and window: Cellular automata as a new kind of cybernetic images
In: O. Grau (ed.), Imagery in the 21st century, MIT Press, 2011
[MIT Press] -
Identification of intrinsic mechanisms for glioma invasion
J. Theor. Biol., 287, 131-147, [DOI] -
Applying dimorphic yeasts as model organisms to study mycelial growth: part 2. Use of mathematical simulations to identify different construction principles in yeast colonies
Bioprocess. Biosyst. Eng., 34, 21-31, 2011 [DOI] -
Applying dimorphic yeasts as model organisms to study mycelial growth: Part 1. Experimental investigation of the spatio-temporal development of filamentous yeast colonies.
Bioprocess. Biosyst. Eng., 34, 13-20, 2011 [DOI]
2010
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From cells to organisms: current topics in mathematical and theoretical biology
Acta Biotheor., 58, 4, 307-313, 2010 [DOI] -
Lattice-gas cellular automaton models for biology: From fluids to cells
Acta Biotheor., 58, 4, 329-340, 2010 [DOI] -
Modeling discrete combinatorial systems as alphabetic bipartite networks: Theory and applications
Phys. Rev. E, 81, 036103, 2010 [DOI] -
Prediction of traveling front behavior in a lattice-gas cellular automaton model for tumor invasion
CAMWA, 59, 2326-2339, 2010 [DOI] -
'Go or Grow': the key to the emergence of invasion in tumour progression?
Math. Med. Biol., 29, 1, 49-65, 2010 [DOI] -
From cellular automaton rules to an effective macroscopic mean-field description
Acta Phys. Pol. B Proc. Suppl., 3, 399-416, 2010 [PDF] -
Lattice-Gas Cellular Automaton Modeling of Emergent Behavior in Interacting Cell Populations
In: Simulating Complex Systems by Cellular Automata 301-331, 2010 [DOI] -
Parameter estimation with a novel gradient-based optimization method for biological lattice-gas cellular automaton models
J. Math. Biol., 63, 1, 173-200, 2010 [DOI] -
The cellular basis of cell sorting kinetics
J. Theor. Biol., 263, 419-436, 2010 [DOI]
2009
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Computational cell biology
In: J. Math. Biol., special issue
Springer, 2009 [DOI] -
Lattice-gas cellular automaton modeling of emergent behavior in interacting cell populations
In: Simulating Complex Systems by Cellular Automata
Springer, Heidelberg, 2009 -
Cellular automaton models for tumor invasion
In: Encyclopedia of Complexity and Systems Science
Springer, 2009 -
Biologistics And The Struggle For Efficiency: Concepts And Perspectives
Advances in Complex Systems, 12, 533-548, 2009 [DOI]
2008
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Computational Cell Biology: Second Theme Issue on “Computational Biology"
J. Math. Biol., 58, 1-5, 2008 -
A game theoretical perspective on the somatic evolution of cancer
In: Selected topics on cancer modelling: genesis, immune competition, therapy
Birkhäuser, Boston, 2008 [DOI] -
Studying the emergence of invasiveness in tumours using game theory
Europ. Phys. J., 63, 393-397, 2008 [DOI] -
Evolutionary game theory elucidates the role of glycolysis in glioma progression and invasion
Cell Prolif., 41, 980, 2008 [DOI] -
The coherence of the vesicle theory of protein secretion
J. Theor. Biol., 252, 370-373, 2008 [DOI] -
Protein domains of GTPases on membranes: do they rely on Turing's mechanism?
In: Mathematical Modeling of Biological Systems, Volume I.
Birkhauser, Boston, 33-46, 2008 [DOI] -
Membrane identity and GTPase cascades regulated by toggle and cut-out switches
Mol. Syst. Biol., 4, 206, 2008 [DOI] -
Bio-inspired Search and Distributed Memory Formation on Power-Law Networks
In: Parallel Problem Solving from Nature - PPSN X
Springer, 5199, 154-164, 2008 -
Cellular automata as microscopic models of cell migration in heterogeneous environments
Curr. Top. Dev. Biol., 401-434, 2008 [DOI] -
A mean-field theory for self-propelled particles interacting by velocity alignment mechanisms
Eur. Phys. J., 157, 2008 [DOI] -
Bacterial swarming driven by rod shape
In: Mathematical Modeling of Biological Systems, Volume I: Cellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis
Birkhauser, 2008 [DOI]
2007
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Lattice-gas cellular automaton modelling of morphogenetic motion in developing cell systems
In: Single Cell Based Models in Biology and Medicine
Birkhauser, Basel, 2007 -
A bio-inspired algorithm for location search in peer to peer network "Advances in biologically inspired information systems: models, methods, and tools"
In: Springer series in Computational Intelligence
2007 -
A new mechanism for collective migration in M. xanthus
J. Stat. Phys., 128, 269-286, 2007 [DOI]
2006
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Design patterns from biology for distributed computing
ACM Trans. Auton. Adapt. Syst., 1, 26-66, 2006 [DOI] -
A generalized discrete model linking rippling pattern formation and individual cell reversal statistics in colonies of myxobacteria
Phys. Biol., 3, 138-146, 2006 [DOI] -
Chemotaxis-inspired load balancing
Complexus, 3, 8-23, 2006 [DOI] -
Modelling cooperative phenomena in interacting cell systems with cellular automata
In: BIOMAT 2005: Proceedings of the International Symposium on Mathematical and Computational Biology Rio de Janeiro, Brazil 3 - 8 December 2005
World Scientific, Singapore, 2006 -
Characterization of Travelling Front Behaviour in a Lattice Gas Cellular Automaton Model of Glioma Invasion
Math. Mod. Meth. Appl. Sci., 15, 1779-1794, 2006 -
Non-equilibrium clustering of self-propelled rods
Phys. Rev. E, 74, 030904, 2006
2005
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On a discrete Boltzmann-type model of swarming
Math. Comp. Model., 41, 1193-1201, 2005 [DOI] -
Parallel dynamic and kinetic regular triangulation in three dimensions
Comput. Phys. Commun., 172, 86-108, 2005 [DOI] -
Design and analysis of a bio-inspired search algorithm for peer-to-peer networks
In: Self-Star Properties in Complex Information Systems
Springer-Verlag, Heidelberg, 3460, 2005 [DOI] -
Mathematical modelling of glioblastoma development: a review
Math. Mod. Meth. Appl. Sci., 15, 1779-1794, 2005 [DOI] -
Coordinated development of yeast colonies. A) Experimental analysis of the adaptation to different nutrient concentrations
Eng. Life Sci., 5, 115-124, 2005 [DOI] -
Coordinated development of yeast colonies. B) Quantitative modeling of diffusion-limited growth
Eng. Life Sci., 5, 125-133, 2005 [DOI] -
Cancer cell invasion of brain tissue: guided by a prepattern?
J. Theor. Medic., 6, 21-31, 2005 [DOI]
2004
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Pattern formation in an interacting cell system: rippling in myxobacterial aggregates
In: Function and regulation of cellular systems: experiments and models
Birkhauser, Basel, 2004 -
Sporenmuster bei Schlauchpilzen
In: Wenn Monster munter werden -- einfache Experimente aus der Biologie
Wiley-VCH, Weinheim, 2004 -
Mathematical and Theoretical Biology: a European Perspective
Science Next Wave (online journal), 12 March, 2004 -
Cell-based models of avascular tumor growth
In: Function and regulation of cellular systems: experiments and models
Birkhauser, Basel, 2004 -
Design of a robust search algorithm for p2p networks
In: Proceedings of the 11th International Conference on High Performance Computing
Bangalore, India, 2004 [DOI] -
A cellular automata model for an immune based search algorithm
In: Proceedings of the Sixth International Conference on Cellular Automata for Research and Industry (ACRI 2004)
Springer, Amsterdam, Netherlands, 3305, 2004 -
Design of an efficient search algorithm for p2p networks using concepts from natural immune systems
In: Proceedings of the 8th International Conference on Parallel Problem Solving from Nature (PPSN VIII)
Birmingham, UK, 2004 [DOI] -
Developing efficient search algorithms for p2p networks using proliferation and mutation
In: Proceedings of the International Conference on Artificial Immune Systems
Catania, Italy, 2004 [DOI] -
Modelling tumour cell population dynamics based on molecular adhesion assumptions
J. Biol. Sc., 12, 273-288, 2004 -
Pigment pattern formation in zebrafish during late larval stages: A model based on local interactions
Developm. Dyn., 232, 33-42, 2004 [DOI] -
Mathematical modeling of regulatory mechanisms in yeast colony development
J. Theor. Biol., 229, 327-338, 2004 [DOI]
2003
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Individual-based models of cell flocking
In: Polymer and cell dynamics: multicsale modeling and numerical simulations
Birkhäuser, Basel, 2003 -
Mathematical modelling and simulation of interacting cell systems with cellular automata
In: Computational fluid and solid dynamics
Elsevier, Amsterdam, 2003
2002
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Rippling Patterns in Aggregates of Myxobacteria Arise from Cell-Cell Collisions
Phys. Rev. Lett., 89, 078101, 2002 [DOI] -
Mathematical modelling and simulation of interacting cell systems with cellular automata
J. Medic. Inform. Technol., 3, 3-6, 2002 -
Principles and mathematical modeling of biological pattern formation
Mat. Stos., 3, 16-38, 2002 -
Modeling of self-organized avascular tumor growth with a hybrid cellular automaton
In Silico Biol., 2, 393-406, 2002 -
Cellular automaton models of tumour development -- a critical review
Adv. Compl Syst. (ACS), 5, 1-21, 2002
2001
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Modelling interacting cell systems in biology and medicine with cellular automata
In: Proceedings of the German Conference on Bioinformatics
Braunschweig, 2001 -
Fourier analysis of Turing-like pattern formation in cellular automaton models
Future Gener. Comp. Sys., 17, 901-909, 2001 [DOI] -
Recycling probability and dynamical properties of germinal center reactions
J. Theor. Biol., 210, 265-285, 2001 [DOI]
2000
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A new mechanism of aggregation in a lattice-gas cellular automaton model
Math. Comp. Mod., 31, 35-40, 2000 [DOI]
1999
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Probabilistic lattice models of collective motion and aggregation; from individual to collective dynamics
Mathem. Biosc., 156, 255-269, 1999 [DOI] -
Principles of morphogenetic motion: swarming and aggregation viewed as self-organization phenomena
J. Biosc., 24 (1), 115-120, 1999
1997
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Mean-field analysis of a dynamical phase transition in a cellular automaton model for collective motion
Phys. Rev. Lett., 78, 5018-5021, 1997 [DOI] -
Models for spatio-angular self-organization in cell biology
In: Dynamics of cell and tissue motion
Birkhäuser, Basel, 173-182, 1997
1996
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Zur Entwicklung der theoretischen Biologie: Aspekte der Modellbildung und Mathematisierung
Jahrb. Gesch. Theorie Biol., 3, 7-60, 1996 -
Lattice-gas approach to collective transport phenomena in biological pattern formation
In: Nonlinear Physics of Complex Systems -- Current Status and Future Trends
Springer, New York, 1996 [DOI] -
Orientation-induced pattern formation: Swarm dynamics in a lattice-gas automaton model
J. Bifurcat. Chaos, 6, 1735-1752, 1996 [DOI]
1995
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Towards analyzing complex swarming patterns in biological systems with the help of lattice-gas cellular automata
J. Biol. Syst., 3, 947-955, 1995 [DOI]
1994
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Muster, Modelle, Simulationen - Neue Wege zum Verständnis von Strukturbildung in der Natur
In: Muster des Lebendigen
Vieweg, Wiesbaden, 1-38, 1994 -
Das Sein bestimmt das Gestaltsein
In: Muster des Lebendigen
Vieweg, Wiesbaden, 91-108, 1994
1993
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Zelluläre Automaten als Modelle von Musterbildungsprozessen in biologischen Systemen
In: Informatik in den Biowissenschaften
Springer, Berlin, 181-192, 1993 -
Formation of morphological differentiation patterns in the ascomycete N eurospora crassa
Mech. Develop., 44, 17-31, 1993 -
A novel cellular automaton approach to pattern formation by filamentous fungi
In: Oscillations and morphogenesis
Marcel Dekker, New York, 463-480, 1993 -
Sporenmusterbildung beim Schlauchpilz N eurospora crassa
Biol. in uns. Zeit, 23, 259-264, 1993 -
A Novel Cellular Automaton Approach to Pattern Formation by Filamentous Fungi
In: Oscillations and Morphogenesis
Marcel Dekker, Inc., 463-480, 1993 -
Introduction and Overview
In: Oscillations and morphogenesis
Marcel Dekker, New York, 1-23, 1993 -
Oscillations and morphogenesis -- introduction and overview
In: Oscillations and morphogenesis
Marcel Dekker, New York, 1-23, 1993
1991
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Patterns of spore formation in N eurospora crassa and their simulation with a cellular automaton
In: Nonlinear wave processes in excitable media
Plenum, New York, 259-267, 1991
1990
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Ordnungsprinzipien periodischer Strukturen
Biol. in uns. Zeit, 20, 314-321, 1990 [DOI]
