Articles
2019
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Liquid-crystal organization of liver tissue, -
Statistical and mathematical modeling of spatiotemporal dynamics of stem cells
in Methods in Molecular Biology, -
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] -
Wet-tip versus dry-tip regimes of osmotically driven fluid flow
Scientific Reports, 9, 4528, 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] -
Automated detection of the HER2 gene amplification status in Fluorescence in situ hybridization images for the diagnostics of cancer tissues
Scientific Reports, 9, 8231, 2019 [DOI]
2018
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Whither Systems Medicine?
Experimental & Molecular Medicine, 50, e453, 2018 [DOI] -
Sequence-dependent catalytic regulation of the SpoIIIE motor activity ensures directionality of DNA translocation
Sci Rep, 8, 1, 5254, 2018 [DOI] -
Liquid-crystal organization of liver tissue
bioRxiv, 495952, 2018 [DOI] -
Hook length of the bacterial flagellum is optimized for maximal stability of the flagellar bundle
PLOS Biology, 16, 9, e2006989, 2018 [DOI] -
Multi-scale coordination of planar cell polarity in planarians
bioRxiv, 324822, 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, Epub in press, 2017 [DOI] -
A dynamically diluted alignment model reveals the impact of cell turnover on the plasticity of tissue polarity patterns
Journal of The Royal Society Interface, 14, 135, 20170466, 2017 [DOI] -
Familial chilblain lupus due to a gain-of-function mutation in STING
Ann Rheum Dis, 76, 468-472, 2017 [DOI] -
Obituary: Hans Meinhardt (1938–2016)
Bull. Math. Biol., 79, 2, 383-388, 2017 [DOI] -
A predictive 3D multi-scale model of biliary fluid dynamics in the liver lobule
Cell Systems, 4, 3, 277–290.e9, 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] -
pSSAlib: The partial-propensity stochastic chemical network simulator
PLoS Computational Biology, 13, 12, e1005865, 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] -
In-silico insights on the prognostic potential of immune cell infiltration patterns in the breast lobular epithelium
Scientific Reports, 6, 33322, 2016 [DOI] -
Live imaging of axolotl digit regeneration reveals spatiotemporal choreography of diverse connective tissue progenitor pools
Dev Cell, 39, 4 411-423, 2016 [DOI] -
Dynamic Regulation of Cell Volume and Extracellular ATP of Human Erythrocytes
PLoS ONE, 11, 6, e0158305, 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] -
Open channel current noise analysis of S6 peptides from KvAP channel on bilayer lipid membrane shows bimodal power law scaling
Physica A: Statistical Mechanics and its Applications, 451, 533-540, 2016 [DOI] -
The Water to Solute Permeability Ratio Governs the Osmotic Volume Dynamics in Beetroot Vacuoles
Front Plant Sci, 7, 1388, 2016 [DOI]
2015
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A dose-volume histogram based decision-support system for dosimetric comparison of radiotherapy treatment plans
Radiation Oncology, 10, 1, 1-9, 2015 [DOI] -
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] -
Cooperativity in binding processes: New insights from phenomenological modeling
PLoS ONE, 10(12), e0146043, 2015 [DOI] -
Mathematical modelling of fluid transport and its regulation at multiple scales
BioSystems, 130, 1-10, 2015 [DOI] -
Cellular automaton models for collective cell behaviour
Lecture Notes in Computer Science, 9099, 1-10, 2015 [DOI] -
Theory of cargo and membrane trafficking. In Stahl and Bradshaw (Eds.)
Encyclopedia of Cell Biology, Elsevier, Vol.4: Systems Cell Biology, 56-62, 2015 [DOI] -
Defective removal of ribonucleotides from DNA promotes systemic autoimmunity
J Clin Invest, 125(1), 413-24, 2015 [DOI] -
Cancer therapeutic potential of combinatorial immuno- and vasomodulatory interventions
Journal of The Royal Society Interface, 12, 1112, 2015 [DOI] -
Model-based comparison of cell density-dependent cell migration strategies
Mathematical Modelling Natural Phenomena, 10, 1, 94-107, 2015 [DOI] -
Image-based quantification and mathematical modeling of spatial heterogeneity in ESC colonies
Cytometry, Part A, 87, 481–490, 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] -
Planar cell polarity-mediated induction of neural stem cell expansion during axolotl spinal cord regeneration
eLife, 4, e10230, 2015 [DOI] -
Comparative Transcriptomics Reveals Similarities and Differences between Astrocytoma Grades
BMC Cancer, 15, 1, 1-22, 2015 [DOI] -
Impaired extracellular matrix structure resulting from malnutrition in ovariectomized mature rats
Histochemistry and Cell Biology, 144, 2015 [DOI] -
Cellular dynamics underlying regeneration of appropriate segment number during axolotl tail regeneration
BMC Developmental Biology, 15, 1, 48, 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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Adaptive diffuse domain approach for calculating mechanically induced deformation of trabecular bone
Comp. Meth. in Biomech. and Biomed. Eng., 17, 1, 31-38, 2014 [DOI] -
Kinetics of bioaccumulation of heavy metals in Odontesthes bonariensis is explained by a single and common mechanism
Ecol. Mod., 274, 50-58, 2014 [DOI] -
Evolutionary game theory: molecules as players
Mol. BioSyst., 10, 3066-3074, 2014 [DOI] -
Mathematical modeling of regenerative processes
Curr. Top. Dev. Biol., 108, 283-317, 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] -
Chevron formation of the zebrafish muscle segments
J. Exp. Biol., 217, 21, 3870-3882, 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, 1331-1332, 2014 [DOI] -
Residence times and boundary-following behavior in animals
Phys. Rev. E, 89, 5, 052715, 2014 [DOI] -
Enabling multiscale modeling in systems medicine
Genome Medicine 6, 3, 2014 [DOI] -
Determination of the Young’s modulus of porous ß-type Ti–40Nb by finite element analysis
J. Mat. Des. 64, 1-8, 2014 [DOI]
2013
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Copy number variation in transcriptionally active regions of sexual and apomictic Boechera demonstrates independently-derived apomictic lineages
Plant Cell, 25, 10, 3808-3823, 2013 [DOI] -
MultiChIPmixHMM: an R package for ChIP-chip data analysis modeling spatial dependencies and multiple replicates
BMC Bioinformatics, 9, 271, 2013 [DOI] -
Meiotic cohesin SMC1β provides prophase I centromeric cohesion and is required for multiple synapsis-associated functions
PLoS Genet., 9, 12, 2013 [DOI] -
Mechanisms of interaction between Candida albicans and Streptococcus mutans: An experimental and mathematical modelling study
Acta Odontol. Scand., 71, 3-4, 416-423, 2013 [DOI] -
SpoIIIE mechanism of directional translocation involves target search coupled to sequence-dependent motor stimulation
EMBO Rep., 14, 5, 473-479, 2013 [DOI] -
Transdifferentiation of pancreatic cells by loss of contact-mediated signaling
BMC Syst. Biol., 7, 77, 2013 [DOI] -
The epidemiological consequences of leprosy-tuberculosis co-infection
Math. Biosci., 241, 2, 225-237, 2013 [DOI] -
Naturally occurring genetic variants of human caspase-1 differ considerably in structure
and the ability to activate interleukin-1β
Hum. Mutat., 34, 1, 122-131, 2013 [DOI] -
Dynamics of VEGF matrix-retention in vascular network patterning.
Phys. Biol., 10, 6, 066007, 2013 [DOI] -
Phosphorylation of the Smo tail is controlled by membrane localization and is dispensable for clustering
J. Cell Sci., 126, 20, 4684-4697, 2013 [DOI] -
Molecular dynamics of water in the neighborhood of aquaporins
Eur. Biophys. J. , 42, 4, 223-239, 2013 [DOI] -
Progressive specification rather than intercalation of segments during limb regeneration
Science , 342, 6164, 1375-9, 2013 [DOI] -
Single-stranded nucleic acids promote SAMHD1 complex formation
J. Mol. Med. (Berl), 91, 6, 759-770, 2013 [DOI] -
Cellular Potts Model
In: Dubitzky et al. (eds.), Encyclopedia of Systems Biology, Springer, 2013
[Encyclopedia of Systems Biology] -
Interacting Cell Systems
In: Dubitzky et al. (eds.), Encyclopedia of Systems Biology, Springer, 2013
[Encyclopedia of Systems Biology]
2012
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Aquaporins: Another piece in the osmotic puzzle
FEBS Lett., 586, 19, 2991-2999, 2012 [DOI] -
Investigation of the migration/proliferation dichotomy and its impact on avascular glioma invasion
Math. Model. Nat. Phenom., 7, 1, 105-135, 2012 [DOI] -
On the role of lateral stabilization during early patterning in the pancreas
J. R. Soc. Interface, 10, 20120766, 2012 [DOI] -
Collective motion in biological systems
Interface Focus, 2, 6, 689-692, 2012 [DOI] -
Aggregation of non-polar solutes in water at different pressures and temperatures:
The role of hydrophobic interaction
J. Chem. Phys., 137, 13, 135104, 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] -
Morphogenesis and dynamics of multicellular systems
ECMI Newsletter 52, 2012 -
Pattern-formation mechanisms in motility mutants of Myxococcus xanthus
Interface Focus, 2, 6, 774-785, 2012 [DOI] -
Multi-scale modeling in morphogenesis: a critical analysis of the cellular potts model
PLoS ONE, 7, 9, e42852, 2012 [DOI]
2011
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Computational analysis of the influence of microenvironment on carcinogenesis
Math. Biosci., 229, 1, 22-29, 2011 [DOI] -
Effect of intestinal pressure on fistula closure during vacuum assisted treatment: a computational approach
Int J Surg., 9, 8, 662-668, 2011 [DOI] -
Regulatory volume decrease and P receptor signaling in fish cells: mechanisms, physiology, and modeling approaches
J. Exp. Zool. A Ecol. Genet. Physiol., 315A, 175-202, 2011 [DOI] -
Crossover between tetrahedral and hexagonal structures in liquid water
Phys. Lett. A., 375, 572-576, 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] -
Evolutionary Robotics
In: S. Craig Roberts (ed.), Applied Evolutionary Psychology, Oxford University Press, 2011
[Oxford University Press] -
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] -
On the core property of the cylinder functions class in the construction of interacting particle systems
Kybernetica, 47, 6, 944-957, [DOI] -
On the duality relation between interacting particle systems and Markov chains
Markov Proc. Rel. Fields, 17, 3, 315-346, 2011 -
Management of external small bowel fistulae: Challenges and controversies confronting the general surgeon
Int. J. Surg., 9, 3, 198-203, 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, 1, 13-20, 2011 [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] -
Predicting pancreas cell fate decisions and reprogramming with a hierarchical multi-attractor model
PLoS ONE 6, 3, e14752, 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] -
A model for cyst lumen expansion and size regulation via fluid secretion
J. Theor. Biol., 264, 1077-1088, 2010 [DOI] -
Lattice-gas cellular automaton modeling of emergent behavior in interacting cell populations
In: Simulating complex systems by cellular automata 301-331, 2010 [DOI] -
'Go or Grow': the key to the emergence of invasion in tumour progression?
Math. Med. Biol., 29, 1, 49-65, 2010 [DOI] -
Prediction of traveling front behavior in a lattice-gas cellular automaton model for tumor invasion
Comput. Math. Appl., 59, 2326-2339, 2010 [DOI] -
From cellular automaton rules to an effective macroscopic mean-field description
Acta Phys. Pol. B Proc. Suppl., 3, 399-416, 2010 [PDF] -
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] -
Ligand-specific c-Fos expression emerges from the spatiotemporal control of ErbB network dynamics
Cell, 141, 884-896, 2010 [DOI] -
Coverage-maximization in networks under resource constraints
Phys. Rev. E, 81, 061124, 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] -
On the approximation of transport phenomena - a dynamical systems approach
In: GAMM Mitteilungen 32
Wiley-VCH, 47-60, 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] -
Local expansion concepts for detecting transport barriers in dynamical systems
In: Communications in Nonlinear Science and Numerical Simulations / 14 (12)
ScienceDirect, Elsevier, 4176-4190, 2009 -
Biosimulation of drug metabolism--A yeast based model
European Journal of Pharmaceutical Sciences, 36, 157-170, 2009 [DOI]
2008
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Computational cell biology: second theme issue on “computational biology"
J. Math. Biol., 58, 1-5, 2008 -
Evolutionary game theory elucidates the role of glycolysis in glioma progression and invasion
Cell Prolif., 41, 980, 2008 [DOI] -
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] -
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] -
The coherence of the vesicle theory of protein secretion
J. Theor. Biol., 252, 370-373, 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] -
An osmoregulatory basis for shape oscillations in regenerating Hydra
Biophys J, 95, 978-985, 2008 [DOI] -
Stability Analysis of Peer-to-Peer Networks Against Churn
Pramana - J. Phys., 71, 2008 -
Coverage Maximization in Small World Network Under Bandwidth Constraint
In: SIGCOMM 2008 Conference on Applications, Technologies, Architectures, and Protocols for Computer Communications
ACM, 481-482, 2008 -
Dynamics and Steady States in Excitable Mobile Agent Systems
Physical Review Letters, 100, 168103, 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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Biosimulation in Drug Development
Wiley-VCH, Weinheim, 37-64, 2007 -
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] -
Ethanol production with micro-organisms. Process control and modelling
In: Proceedings of the 18th ECMI modelling week
Lappeenrannan teknillinen yliopisto, Lappeenranta, 9-23, 2006 -
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 [DOI] -
Towards in vivo computing: Quatitative analysis of an artificial gene regulatory network behaving as a RS flip-flop and simulating the system in silico
In: Bio-Inspired Models of Network, Information and Computing Systems
IEEE, 1-7, 2006 [DOI] -
Non-equilibrium clustering of self-propelled rods
Phys. Rev. E, 74, 030904, 2006 -
Modeling of pattern development during fibronectin nanofibril formation
Biointerphases, 1, 93-97, 2006 [DOI]
2005
-
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] -
Spiral instabilities in periodically forced extended oscillatory media
In: EQUADIFF 2003-International Conference on Differential equations
World Scientific, Singapore, 777-782, 2005 [DOI] -
Cell cycle synchronization of Cupriavidus necator by continuous phasing measured via flow cytometry
Biotechnol. Bioeng., 92, 635-642, 2005 -
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] -
Mathematical Modelling of Glioblastoma Tumor Development: a Review
Math Mod Meth Appl S, 15, 1779-1794, 2005 -
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] -
Brain cancer invasion of brain tissue: guided by a prepattern
J. Theor. Medic., 6, 21-31, 2005
2004
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Model evaluation for glycolytic oscillations in yeast biotransformations of xenobiotics
Biophys. Chem., 109, 413-426, 2004 [DOI] -
Comment on "Antispiral Waves in Reaction-Diffusion Systems" [3] (multiple letters)
Phys. Rev. Lett., 92, 898011-898021, 2004 [DOI] -
Breakup of spiral waves caused by radial dynamics: Eckhaus and finite wave number instabilities
New J. Phys., 6, 5, 2004 [DOI] -
Mechanism for spiral wave breakup in excitable and oscillatory media.
Phys. Rev. Lett., 92, 119801, 2004 [DOI] -
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] -
Antispiral waves as sources in oscillatory reaction-diffusion media
J Phys Chem B, 108, 14733-14740, 2004 [DOI] -
Mathematical modeling of regulatory mechanisms in yeast colony development
J. Theor. Biol., 229, 327-338, 2004 [DOI]
2003
-
Doppler Effect of Nonlinear Waves and Superspirals in Oscillatory Media
Phys Rev Lett, 91, 1083021-1083024, 2003 [DOI] -
Nonlinear analysis of the Eckhaus instability: Modulated amplitude waves and phase chaos with nonzero average phase gradient
Phys D Nonlinear Phenom, 174, 152-167, 2003 [DOI] -
Antispiral and superspiral waves
Wiss. Z. TU Dresden, 52, 55-58, 2003 -
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 -
Modelling thin-film dewetting on structured substrates and templates: Bifurcation analysis and numerical simulations
Eur. Phys. J. E, 11, 255-271, 2003 [DOI]
2002
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Dewetting of thin films on heterogeneous substrates: Pinning versus coarsening
Phys. Rev.~E, 66, 1-5, 2002 [DOI] -
Fold-Hopf bursting in a model for calcium signal transduction
Z. Phys. Chem., 216, 487-497, 2002 [DOI] -
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
-
Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation
Phys D Nonlinear Phenom, 160, 127-148, 2001 [DOI] -
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
-
Modulated amplitude waves and the transition from phase to defect chaos
Phys Rev Lett, 85, 86-89, 2000 [DOI] -
A new mechanism of aggregation in a lattice-gas cellular automaton model
Math. Comp. Mod., 31, 35-40, 2000 [DOI]
1999
-
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 -
A new simple version of the replica method
J. Phys. A, 32, 585-593, 1999 [DOI] -
Simplified replica treatment of various random-energy and random-field models with confinement potential
Phys. Rev. E, 60, 3573-3579, 1999 [DOI]
1997
-
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
-
Zur Entwicklung der theoretischen Biologie: Aspekte der Modellbildung und Mathematisierung
Jahrb. Gesch. Theorie Biol., 3, 7-60, 1996 -
Orientation-induced pattern formation: Swarm dynamics in a lattice-gas automaton model
J. Bifurcat. Chaos, 6, 1735-1752, 1996 [DOI] -
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]
1995
-
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
-
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
-
Introduction and Overview
In: Oscillations and morphogenesis
Marcel Dekker, New York, 1-23, 1993 -
A Novel Cellular Automaton Approach to Pattern Formation by Filamentous Fungi
In: Oscillations and Morphogenesis
Marcel Dekker, Inc., 463-480, 1993 -
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 -
Oscillations and morphogenesis -- introduction and overview
In: Oscillations and morphogenesis
Marcel Dekker, New York, 1-23, 1993
1991
-
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]
