by Steffen Härting
by Moritz Mercker
by Moritz Mercker
by Steffen Härting
Publications since 2008

Articles, chapters & preprints

F. Kuhar, L. Terzzoli, E. Nohura, G. Robledo, M. Merrcker, "Pattern formation features might explain homoplasy: fertile surfaces in higher fungi as an example, Theory in Biosciences"
D. Brazke, H. Knüpfer, A. Marciniak-Czochra, "Γ-limit for a sharp interface model related to pattern formation on biomembranes", preprint arXiv:2207.01974v1.
C. Kowall, A. Marciniak-Czochra, F. Münnich. "Stability Results for Bounded Stationary Solutions of Reaction-Diffusion-ODE Systems", preprint arXiv:2201.12748.
A. Kazarnikov, R. Scheichl, H. Haario, A. Marciniak-Czochra. "A Bayesian Approach to Modelling Biological Pattern Formation with Limited Data", preprint arXiv:2203.14742.
T. Stiehl, A. Marciniak-Czochra. "How Smart Are Equations and Algorithms?: An Attempt to Transfer the Notion of Intelligence to Mathematical Concepts", Springer DOI: 10.1007/978-3-031-04198-3_11.
S. Cygan, A. Marciniak-Czochra, G. Karch, K. Suzuki. "Instability of all regular stationary solutions to reaction-diffusion-ODE systems", J. Diff. Equations 337, 460-482
P. Tikka, M. Mercker, I. Skovorodkin, U. Saarela, S. Vainio, V. Ronkainen, JP. Sluka, J.A. Glazier, A. Marciniak-Czochra, F. Schaefer. "Computational modelling of nephron progenitor cell movement and aggregation during kidney organogenesis", Mat. Biosciences 344: 108759
A. Tursch, N. Bartsch, M. Mercker, J. Schlüter, M. Lommel, A. Marciniak-Czochra, S. Özbek, T.W Holstein. "Injury-induced MAPK activation triggers body axis formation in Hydra by default Wnt signaling", PNAS 119 (35), e2204122119.
J.E. Busse, S. Cuadrado, A. Marciniak-Czochra. "Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation", J. Math. Biology 84: 1-36.
D.P. Danciu, J. Stolper, L. Centanin, A. Marciniak-Czochra. "Identifying stem cell numbers and functional heterogeneities during post-embryonic growth", iScience 25, 103819.
S. Cygan, A. Marciniak-Czochra, G. Karch. "Discontinuous stationary solutions to certain reaction-diffusion systems", Springer,
D. Carvajal Ibañez, M. Skabkin, J. Hooli, S. Cerrizuela, M. Göpferich, A. Jolly, M. Zumwinkel, M. Bertolini, T. Höfer, G. Kramer, S. Anders, A. Telemann, A. Marciniak-Czochra, A. Martin-Villalba. "Interferon regulates stem cell function at all ages by orchestrating mTOR and cell cycle", bioRxiv doi:
C. Düll, P. Gwiazda, A. Marciniak-Czochra, J. Skrzeczkowski (2021) "Spaces of Measures and their Applications to Structured Population Models" Cambridge Monographs on Applied and Computational Mathematics, Cambridge University Press.
T. Stiehl, A. Marciniak-Czochra. "Computational reconstruction of clonal hierarchies from bulk sequencing data of acute myeloid leukemia samples", Frontiers in Physiology 12: 1308.
LPM. Kremer, S. Cerrizuela, S. Dehler, T. Stiehl, J. Weinmann, H. Abendroth, S. Kleber, A. Laure, J. El Andari, S. Anders, A. Marciniak-Czochra, D. Grimm, A. Martin-Villalba. "High throughput screening of novel AAV capsids identifies variants for transduction of adult NSCs within the subventricular zone", Molecular Therapy-Methods and Clinical Development 23, 33-50
M. Mercker, T. Lengfeld, S. Höger, A. Tursch, M. Lommel, TW. Holstein, A. Marciniak-Czochra. "β-Catenin and canonical Wnts control two separate pattern formation systems in Hydra: Insights from mathematical modelling", bioRxiv.
F. Veerman, M Mercker, A Marciniak-Czochra. "Beyond Turing: Far-from-equilibrium patterns and mechano-chemical feedback", Phil. Trans. R. Soc. A.3792020027820200278.
S. Cygan, A. Marciniak-Czochra, G. Karch, K. Suzuki. "Instability of all regular stationary solutions to reaction-diffusion-ODE systems", arXiv preprint arXiv:2015.05023.
B. Ziegler, I. Yiallouros, B. Trageser, S. Kumar, M. Mercker, S. Kling, M. Fath, U. Warnken, M. Schnolzer, T.W. Holstein, M. Hartl, A. Marciniak-Czochra, J. Stetefeld, W. Stocker and S. Ozbek. "The Wnt-specific astacin proteinase HAS-7 restricts head organizer in Hydra", BMC Biology 19: 120.
L. Harris, P. Rigo, T. Stiehl, Z. Gaber, S.H.L. Austin, M. del Mar Masdeu, A. Edwards, N. Urban, A. Marciniak-Czochra, F. Guillemot. "Coordinated changes in cellular behavior ensure the lifelong maintenance of the hippocampal stem cell population", Cell Stem Cell 28(5), 863-876. e6.
C. Kowall, A. Marciniak-Czochra, and A. Mikelic. "Shadow limit of reaction-diffusion type models for a long time interval", Appl. Mathematics Letters 112: 106790.
S. Chulián, Á. Martinez-Rubio, A. Marciniak-Czochra, T. Stiehl, C.B. Goni, J.F. Gutierrez, M.R. Orellana, A. Castillo Robleda, V.M.. Perez-Garcıa, M. Rosa. "Dynamical properties of feedback signalling in B lymphopoiesis: A mathematical modelling approach", J. Theor. Biol. 522: 110685.
T. Stiehl, W. Wang, C. Lutz, A. Marciniak-Czochra, "Mathematical modeling provides evidence for niche competition in human AML and serves as a tool to improve risk stratification", Cancer Res. 80: 3983-3992.
F.Z. Klawe, T. Stiehl, P. Bastian, C. Gaillochet, J.U. Lohmann, A. Marciniak-Czochra, "Mathematical modeling of plant cell fate transitions controlled by hormonal signals", PLoS Comput Biol. 16(7):e1007523.
A. Köthe, A. Marciniak-Czochra, I. Takagi. "Hysteresis-driven pattern formation in reaction-diffusion-ODE systems", Discrete & Continuous Dynamical Systems A 40(6):3595.
F. Knauer, T. Stiehl, A. Marciniak-Czochra, "Oscillations in a white blood cell production model with multiple differentiation stages", J Math Biol. 80(3), 575-600.
REA. Stace, T. Stiehl, MAJ. Chaplain, A. Marciniak-Czochra, T. Lorenzi, "Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy", Mathematical Modelling of Natural Phenomena 15, 14.
P Tikka, M Mercker, I Skovorodkin, U Saarela, S Vainio, V-P. Ronkainen, J.P. Sluka, J.A. Glazier, A. Marciniak-Czochra, F. Schaefer. "Computational Modelling of Nephron Progenitor Cell Movement and Aggregation during Kidney Organogenesis", bioRxiv.
G. Kalamakis, D. Bruene, S. Ravichandran, J. Bolz, W. Fan, F. Ziebell, T. Stiehl, F. Cataa-Martinez, J. Kupke, S. Zhao, E. Llorens-Bobadilla, K. Bauer, S. Limpert, B. Berger, U. Christen, P. Schmezer, JP. Mallm, B. Berninger, S. Anders, A. del Sol, A. Marciniak-Czochra, A. Martin-Villalba. "Quiescence modulates stem cell maintenance and regenerative capacity in the aging brain." Cell 176(6): 1407-1419.
T. Lorenzi, A. Marciniak-Czochra, T. Stiehl, "A structured population model of clonal selection in acute leukemias with multiple maturation stages", J Math Biol. 79(5): 1587-1621. doi: 10.1007/s00285-019-01404-w.
T. Stiehl, A. Marciniak-Czochra, "How to characterize Stem cells? Contributions from mathematical modeling.", Current Stem Cell Reports 5(2): 57–65.
J. Stolper, E.M. Ambrosio, D.-P. Danciu, D. Elliot, K. Naruse, A. Marciniak-Czochra, L. Centanin, "Stem cell topography splits growth and homeostatic functions in the fish gill", eLife 6: e43747, doi: 10.7554/eLife.43747.
Y. Li, A. Marciniak-Czochra, I. Takagi, B. Wu, "Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor." Tohoku Mathematical Journal 71: 243-279.
A. Coulibaly, A. Bettendorf, E. Kostina, A. S. Figueiredo, S. Y. Velasquez, H. G. Bock, M. Thiel, H. A. Lindner and M. V. Barbarossa, "Interleukin-15 signaling in HIF-1alpha regulation in natural killer cells, insights through mathematical models", Frontiers in Immunology, accepted, doi:10.3389/fimmu.2019.02401
J.A. Carillo, P. Gwiazda, K. Kropielnicka and A. Marciniak-Czochra, "The Escalator Boxcar Train Method for a System of Aged-structured Equations in the Space of Measures." SIAM J. Num. Anal. 57(4), 1842-1874.
JZ. Farkas, P. Gwiazda, A. Marciniak-Czochra, "Asymptotic behaviour of a structured population model on a space of measures", preprint arXiv:1902.06096.
N. Sfakianakis, D. Peurichard, A. Brunk, C. Schmeiser, "Modelling cell-cell collision and adhesion with the filament based lamellipodium model", BIOMATH,, link
M. V. Barbarossa, M. Polner and G. Röst, "Temporal evolution of immunity distributions in a population with waning and boosting", Complexity, Vol. 2018 ID 9264743,
F. Brinkmann, M. Mercker, T. Richter and A. Marciniak-Czochra, "Post-Turing tissue pattern formation: Advent of mechanochemistry", PLoS Comput Biol 14(7): e1006259.,
N. Sfakianakis and A. Brunk, "Stability, convergence, and sensitivity analysis of the FBLM and the corresponding FEM", Bulletin Mathematical Biology,, link
T. Stiehl, A.D. Ho and A. Marciniak-Czochra, "Mathematical modeling of the impact of cytokine response of acute myeloid leukemia cells on patient prognosis", Scientific Reports 8(1),1-11.
A. Marciniak-Czochra, A. Mikelic, and T. Stiehl, "Renormalization group second order approximation for singularly perturbed nonlinear ordinary differential equations", Mathematical Methods in the Applied Sciences 41 (14), 5691-5710
P. Gwiazda, A. Marciniak-Czochra, H. Thieme, "Measures under the flat norm as ordered normed vector space", Positivity 22: 105-138, Accepted, doi:10.1007/s11117-017-0503-z
J. Werner, N. Sfakianakis, A. D. Rendall and E. M. Griebeler, "Energy intake functions and energy budgets of ectotherms and endotherms derived from their ontogenetic growth in body mass and timing of sexual maturation", Journal of Theoretical Biology,
A. Marciniak-Czochra, S. Härting, G. Karch and K. Suzuki, "Dynamical spike solutions in a nonlocal model of pattern formation", Nonlinearity 31: 1757, Preprint available at
F. Ziebell, S. Dehler, A. Martin-Villalba and A. Marciniak-Czochra, "Revealing age-related changes of adult hippocampal neurogenesis using mathematical models", Development 145: dev153544,
M. Mohr, D. Hose, A. Seckinger and A. Marciniak-Czochra, "Quantification of plasma cell dynamics using mathematical modelling", Royal Society Open Science 5: 170759,
P. Gwiazda, F.Z. Klawe and S. Owczarek, "Thermo-visco-elasticity for Norton-Hoff-type models with homogeneous thermal expansion", Nonlinear Anal. Real World Appl. 40 (2018), 337–360.
A. Seckinger, A. Jauch, M. Emde, S. Beck, M. Mohr, M. Granzow, T. Hielscher, T. Rème, R. Schnettler, N. Fard, K. Hinderhofer, P.T. Pyl, W. Huber, V. Benes, A. Marciniak-Czochra, Véronique Pantesco, A.D. Ho, B. Klein, J. Hillengass, D. Hose, "Asymptomatic Multiple Myeloma - Background of Progression, Evolution, and Prognosis", Clinical Lymphoma, Myeloma and Leukemia 17(1), e9-e10
J. Giesselmann, N. Kolbe, M. Lukacova, and N. Sfakianakis, "Existence and uniqueness of global classical solutions to a two species cancer invasion haptotaxis model", Discrete & Continuous Dynamical Systems-B, doi: 10.3934/dcdsb.2018169
C. Gaillochet, T. Stiehl, C. Wenzl, J.J. Ripoll, L:J. Bailey-Steinitz, A.Pfeiffer, A. Miotk, J. Hakenjos, J. Forner, M.F. Yanofsky, A. Marciniak-Czochra, and J.U. Lohmann, "Control of plant cell fate transitions by transcriptiona and hormonal signals", Elife 6, e30135.
T. Stiehl, A. Marciniak-Czochra, "Stem cell self-renewal in regeneration and cancer: Insights from mathematical modeling", Current Opinion in Systems Biology 5: 112-120
A. Marciniak-Czochra, A. Mikelic, "Shadow limit using renormalization group method and center manifold method", Vietnam Journal of Mathematics 45(1-2), 103-125
Y. Li, A. Marciniak-Czochra, I. Takagi, B. Wu, "Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor.", Tohoku J. Math., Accepted
W. Wang, T. Stiehl, S. Raffel, V. T. Hoang, I. Hoffmann, L. Poisa-Beiro, B. R. Saeed, R. Blume, L. Manta, V. Eckstein, T. Bochtler, P. Wuchter, M. Essers, A. Jauch, A. Trumpp, A. Marciniak-Czochra, A. D. Ho, C. Lutz, "Reduced hematopoietic stem cells frequency predicts outcome in acute myeloid leukemia", Haematologica 102(9), 1567
M. V. Barbarossa, M. Polner, G. Röst, "Stability switches induced by immune system boosting in an SIRS model with discrete and distributed delay", SIAM Journal of Applied Mathematics 77(3), pp. 903-925
A. Marciniak-Czochra, G. Karch, K. Suzuki, "Instability of Turing patterns in recation-diffusion-ODE systems", J. Math. Biol. 74: 583-618
S. Härting, A. Marciniak-Czochra, I. Takagi, "Stable patterns with jump discontinuity in systems with Turing instability and hysteresis, Disc. Cont. Dyn. Sys. A. 37: 757-800
A. Brunk, N. Kolbe, and N. Sfakianakis, "Chemotaxis and haptotaxis on a cellular level", Theory Numerics and Applications of Hyperbolic Problems,, link
D. Wollny, S. Zhao, I. Everlien, X. Lun, J. Brunken, D. Brne, F. Ziebell, I. Tabansky, W. Weichert, A. Marciniak-Czochra, A. Martin-Villalba, "Single cell analysis uncovers clonal acinar cell heterogeneity in the adult pancreas", Dev. Cell 39: 289-301
Y. Li, A. Marciniak-Czochra, I. Takagi, B. Wu, "Bifurcation Analysis of a Diffusion- ODE Model with Turing Instability and Hysteresis", Hiroshima Mathematical Journal 47:217-247
T. Stiehl, C. Lutz, A. Marciniak-Czochra, "Emergence of heterogeneity in acute leukemias", Biology Direct 11(1), 1-19, doi:10.1186/s13062-016-0154-1
M. Mercker, F. Brinkmann, A. Marciniak-Czochra, T. Richter, "Beyond Turing: Mechanochemical pattern formation in biological tissues", Biology Direct 11(1), 1-15, doi:10.1186/s13062-016-0124-7 (link)
J.-E. Busse, P. Gwiazda, A. Marciniak-Czochra, "Mass concentration in a non-local model of clonal selection", J. Math. Biol. 73: 1001-1033, doi:10.1007/s00285-016-0979-3
A. Marciniak-Czochra, A. Mikelic, "Shadow limits via the renormalization group method and the center manifold method", Vietnam J. Mathematics. A special issue in honour of Prof. Willi Jäger 1-23, doi:10.1007/s10013-016-0199-6.
M. V. Barbarossa, C. Kuttler, "Mathematical modeling of bacteria communication in continuous cultures", MDPI Appl. Scie. Special Issue on Dynamical Models of Biology and Medicine A 6(5):149
A. Seckinger, A. Jauch, M. Emde, S. Beck, M. Mohr, M. Granzow, T. Hielscher, T. Rème, R. Schnettler, N. Fard, K. Hinderhofer, P.T. Pyl, W. Huber, V. Benes, A. Marciniak-Czochra, Véronique Pantesco, A.D. Ho, B. Klein, J. Hillengass, D. Hose, "Asymptomatic Multiple Myeloma - Background of Progression, Evolution, and Prognosis", Blood 128(22): 235
A. Marciniak-Czochra, G. Karch, K. Suzuki, J. Zienkiewicz, "Diffusion-driven blowup in reaction-diffusion-ODE systems", J. Diff. Integral Eq. 29(7/8): 715-730.
P. Gwiazda, K. Kropielnicka, A. Marciniak-Czochra, "The Escalator Boxcar Train method for a system of aged-structured equations", Appl. Math. J. Networks and Heterogeneous Media, to appear.
M. Mercker, A. Köthe, A. Marciniak-Czochra, "Mechanochemical symmetry breaking in Hydra aggregates", Biophysical J. 108(9): 2396-2407, link
A. Marciniak-Czochra, M. Nakayama, I. Takagi, "Pattern formation in a diffusion-ODE model with hysteresis", J. Diff. Integral Eq. 28: 655-694.
T. Stiehl, N. Baran, A. D. Ho, A. Marciniak-Czochra, "Cell division patterns in acute myeloid leukemia stem-like cells determine clinical course: a model to predict patient survival", Cancer Research 75: 940-949, published online, DOI:10.1158/0008-5472
A. Marciniak-Czochra, A. Mikelic, "A rigorous derivation of the equation for the clampled Biot-Kirchhoff-Love poroelastic plate", Arch. Rat. Mech. Anal. 215: 1035-1062.
M. Mercker, A. Marciniak-Czochra, "Bud neck scaffolding as a possible driving force during ESCRT-induced membrane budding", Biophysical J. 108: 833-843, link
T. Carraro, C. Goll, A. Marciniak-Czochra, "Effective interface conditions for the forced infiltration of an unconfined fluid into a porous medium using homogenization", Computer Meth. Appl. Mech. Eng. 292: 195-220, DOI: 10.1016/j.cma.2014.10.050
S. Härting, A. Marciniak-Czochra, "Spike patterns in a reaction-diffusion-ode model with Turing instability", Math. Meth. Appl. Sci. 37: 1377-1391
T. Stiehl, N. Baran, N., A. D. Ho, A. Marciniak-Czochra, "Clonal selection and therapy resistance in acute leukemias: Mathematical modelling explains different proliferation patterns at diagnosis and relapse", J. Royal Society Interface 11: 20140079, link
T. Walenda, T. Stiehl, H. Braun, J. Fröbel, A. D. Ho, T. Schroeder, T. Goecke, U. Germing, U., A. Marciniak-Czochra, W. Wagner, "Feedback Signals in Myelodysplastic Syndromes: Increased Self-Renewal of the Malignant Clone Suppresses Normal Hematopoiesis", PLOS Comp. Biol. 10.1371/journal.pcbi.1003599
F. Ziebell, A. Martin-Villalba, A. Marciniak-Czochra, "Mathematical modelling of adult hippocampal neurogenesis: effect of altered stem cell dynamics on cell counts and BrdU-labelled cells", J. Royal Society Interface 11(94), 20140144, link
O. Wolkenhauer, C. Auffray, O. Brass, J. Clairambault, A. Deutsch, D. Drasdo, F. Gervasio, L. Preziosi, P. Maini, A. Marciniak-Czochra, C. Kossow, L. Kuepfer, K. Rateitschak, I. Ramis-Conde, B. Ribba, A. Schuppert, R. Smallwood, G. Stamatakos, F. Winter, H. Byrne, "Enabling Multiscale Modelling in Systems Medicine", Genome Medicine 6(3), 1-3, DOI: 10.1186/gm538
P. Gwiazda, J. Jabłoński, A. Marciniak-Czochra, A. Ulikowska, "Analysis of particle methods for structured population models with nonlocal boundary term in the framework of bounded Lipschitz distance", Num. Meth. Partial Diff. Eq. 30(6): 1797-1820, DOI: 10.1002/num.21879
J. Kawka, A. Marciniak-Czochra, S. Pfister, S. Pleier, D. Sturm, "Revealing the role of SGK1 in the dynamics of medulloblastoma using mathematical models", J. Theor. Biol. 354, 105-112. 10.1016/j.jtbi.2014.03.028
A. Marciniak-Czochra, A. Mikelic, "A nonlinear effective slip interface law for transport phenomena between a fracture flow and a porous medium", Discrete Cont. Dyn. Systems - Series S 7: 1065-1077
T. Stiehl, A. D. Ho, A. Marciniak-Czochra, "The impact of CD34+ cell dose on engraftment after Stem Cell Transplantations: personalized estimates based on mathematical modeling", Bone Marrow Transplantation 49: 30-37
M. Mohr, M. V. Barbarossa, C. Kuttler, "Predator-prey interactions, age structures and delay equations", Math. Mod. Natural Phenomena 9(1): 92-107
M. Stock, J. Baer, M. Mercker, "Trischen-wax and wane of a Wadden Sea island", Wadden Sea Ecosystem 33: 63-98
M. Mercker, A. Marciniak-Czochra, T. Richter, D. Hartmann, "Modeling and computing of the deformation dynamics of inhomogeneous biological surface", SIAM J. Appl. Math. 73: 1768-1792
M. Mercker, D. Hartmann, A. Marciniak-Czochra, "A mechanochemical model for embryonic pattern formation: Coupling tissue mechanics and morphogen expression", PLOS One 8(12), e82617.
T. Carraro, C. Goll, A. Marciniak-Czochra, A. Mikelic, "Pressure jump interface law for the Stokes-Darcy coupling: Confirmation by direct numerical simulations", J. Fluid Mechanics 732: 510-536
P. Getto, A. Marciniak-Czochra, Y. Nakata, M. Vivanco, "Global dynamics of two-compartment models for cell production systems with regulatory mechanisms", Math. Biosci. 245: 258-268
A. Marciniak-Czochra, G. Karch, K. Suzuki, "Unstable patterns in reaction-diffusion model of early carcinogenesis", J. Math. Pures Appl. 99: 509-543, link
F. Clément, P. Michel, D. Monniaux, T. Stiehl, "Coupled Somatic Cell Kinetics and Germ Cell Growth: Multiscale Model-Based Insight on Ovarian Follicular Development", Multiscale Model. Simul. 11(3): 719-746
M. Mercker, J. Baer, "Predator-prey interactions as possible explanation for recent declines of seabird breeding populations - the example of the Wadden Sea island Trischen", Vogelwelt 134: 115-128, link
J. Jablonski, A. Marciniak-Czochra, "Efficient algorithms computing distances between Radon measures on R", arXiv:1304.3501
P. Gwiazda, G. Jamróz, A. Marciniak-Czochra, "Models of discrete and continuous cell differentiation in the framework of transport equation", SIAM J. Math. Anal. 44:1103-1133
A. Marciniak-Czochra, A. Mikelic, "Effective pressure interface law for transport phenomena between an unconfined fluid and a porous medium using homogenization", SIAM Multiscale Model. Sim. 10: 285-305
T. Stiehl, A. Mariniak-Czochra, "Mathematical modelling of leukemogenesis and cancer stem cell dynamics", Math. Mod. Natural Phenomena 7: 166-202
A. Marciniak-Czochra, "Strong two-scale convergence and corrector result for the receptor-based model of the intercellular communication", IMA J. Appl. Math., 77(6), 855-868
Y. Golovaty, A. Marciniak-Czochra, M. Ptashnyk, "Stability of nonconstant stationary solutions in a reaction-diffusion equation coupled to the system of ordinary differential equations", Comm. Pure Appl. Anal. 11: 229-241
Y. Nakata, P. Getto, A. Marciniak-Czochra, T. Alarcon, "Stability analysis of multi-compartment models for cell production systems", J. Biol. Dynamics 6, Supp 1: 2-18
D. Trucu, M. Chaplain, A. Marciniak-Czochra, "Three-scale convergence for processes in complex heterogeneous media", Applicable Analysis 91: 1352-1373
M. Mercker, M. Ptashnyk, J. Kühnle, D. Hartmann, M. Weiss, W. Jäger, "A multiscale approach to curvature modulated sorting in biological membranes", J. Theor. Biol. 301: 67-82
J. A. Carrillo, R. Colombo, P. Gwiazda, A. Ulikowska, "Structured populations, cell growth and measure valued balance laws", J. Differential Equations 252(4):3245-3277
M. Doumic, A. Marciniak-Czochra, B. Perthame, J. Zubelli, "Structured population model of stem cell differentiation", SIAM J. Appl. Math. 71: 1918-1940
T. Alarcon, P. Getto, A. Marciniak-Czochra, M. Vivanco, "A model for stem cell population dynamics with regulated maturation delay", Discrete Cont. Dyn. Systems B. Suppl.: 32-43
T. Stiehl, A. Marciniak-Czochra, "Characterization of stem cells using mathematical models of multistage cell lineages", Math. Comp. Models 53: 1505-1517
D. Cholewa, T. Stiehl, G. Bokermann, S. Joussen, C. Koch, T. Walenda, N. Pallua, A. Marciniak-Czochra, C. V. Suschek, W. Wagner, "Expansion of adipose mesenchymal stromal cells is affected by human platelet lysate and plating density", Cell Transplantation, 20(9), 1409-1422
M. Mercker, T. Richter, T. Hartmann, "Sorting mechanism and communication in phase separating coupled monolayers", J. Phys. Chem. B. 115(40): 11739-11745, published online, DOI:10.1021/jp204127g
M. Chaplain, M. Lachowicz, Z. Szymańska, D. Wrzosek, "Mathematical modelling of cancer invasion: The importance of cell-cell adhesion and cell-matrix adhesion", Math. Models Methods Appl. Sci. 21: 719-743
A. Marciniak-Czochra, M. Ptashnyk, "Boundedness of solutions of a haptotaxis model", Math. Models Methods Appl. Sci 20: 449-476
P. Gwiazda, A. Marciniak-Czochra, "Structured population models in metric spaces", J. Hyp. Diff. Eq. 7: 733-773
P. Gwiazda, T. Lorenz, A. Marciniak-Czochra, "A nonlinear structured population model: Lipschitz continuity of measure valued solutions with respect to model ingredients", J. Differential Equations 248: 2703-2735
G. Jamróz, "Elliptic equations, multivalued x-dependent graphs and Orlicz spaces", Nonlinear Analysis: TMA 73(8): 2666-2679
A. Ito, M. Gokieli, M. Niezgódka, Z. Szymańska, "Local existence and uniqueness to approximate system of 1D tumor invasion model", Nonlinear Anal. RWA. 11: 3555-3566
A. Marciniak-Czochra, T. Stiehl, W. Wagner, "Modeling of replicative senescence in hematopoietic development", Aging 1: 723-732
A. Marciniak-Czochra, T. Stiehl, A. D. Ho, W. Jäger, W. Wagner, "Modeling asymmetric cell division in hematopietic stem cells regulation of self-renewal is essential for efficient repopulation", Stem Cells Dev. 18: 377-385
Z. Szymańska, J. Urbański, A. Marciniak-Czochra, "Mathematical modelling of the influence of heat shock proteins on cancer invasion of tissue", J. Math. Biol. 58: 819-844
M. Mercker, K. Kollath-Leiss, S. Allgaier, N. Weiland, K. Kempken, "The BEM46-like protein appears to be assential for hyphal development upon ascospore germination in Neurospora crassa and is targeted to the endoplasmic reticulum", Current Genetics 55(2): 151
Z. Szymańska, M. Żylicz, "Mathematical modeling of heat shock protein synthesis in response to temperature change", J. Theor. Biol. 259: 562-569
Z. Szymańska, C. Morales-Rodrigo, M. Lachowicz, M. Chaplain, "Mathematical modelling of cancer invasion of tissue: The role and effect of nonlocal interactions", Math. Models Methods Appl. Sci. 19: 257-281
M. Bodnar, U. Foryś, Z. Szymańska, "Model of AIDS-related tumour with time delay", Applicationes Mathematicae 36: 263-278
U. Foryś, Z. Szymańska, "Heterotrophic-autorophic organisms models", Applicationes Mathematicae 36: 279-294
A. Marciniak-Czochra, M. Ptashnyk, "Derivation of a macroscopic receptorbased model using homogenisation techniques", SIAM J. Mat. Anal. 40: 215-237
A. Marciniak-Czochra, M. Kimmel, "Reaction-diffusion model of early carcinogenesis: The effects of influx of mutated cells", Math. Mod. Natural Phenomena 7: 90-114
P. Getto, M. Kimmel, A. Marciniak-Czochra, "Modelling and analysis of dynamics of viral infection of cells and of interferon resistance",J. Math. Anal. Appl. 344: 821-850
R. Kowalczyk, Z. Szymańska, "On the global existence of solutions to an aggregation model", J. Math. Anal. Appl. 343: 379-398
J. Kzhyshkowska, A. Marciniak-Czochra, A. Gratchev, "Perspectives of mathematical modelling for understanding of intracellular signalling and vesicular trafficking in macrophages", J. Immunobiology. 212(9-10), 813-825
A. Marciniak-Czochra, M.Kimmel, "Modelling of early lung cancer progression: Influence of growth factor production and cooperation between partially transformed cells", Mathematical Models and Methods in Applied Sciences. 17(supp01), 1693-1719
A. Marciniak-Czochra, M.Kimmel, "Reaction–diffusion approach to modeling of the spread of early tumors along linear or tubular structures", Journal of Theoretical Biology.244(3), 375-387

Proceedings and book chapters

M. Mercker, A. Marciniak-Czochra, "Breezing Drops", in "The Art of Theoretical Biology", F. Matthäus, S. Matthäus, S. Harris, T. Hillen, 30-31, Springer, 2020
P. Getto, A. Marciniak-Czochra, "Mathematical modelling as a tool to understand cell self-renewal and differentiation", in "Mammary Stem Cells: Methods and Protocols", M. d. M. Vivanco, "Methods in Molecular Biology" Volume 1293, Springer, 2014
A. Marciniak-Czochra, "Reaction-diffusion-ODE models of pattern formation", in "Evolutionary Equations with Applications in Natural Science", J. Banasiak, "Lecture Notes in Mathematics", Springer, 2014
T. Stiehl, A. D. Ho, A. Marciniak-Czochra, "Assessing hematopoietic (stem-) cell behavior during regenerative pressure", in: "Systems Biology of Blood", S. Corey, M. Kimmel, J. Leonard, "Advances in Experimental Medicine and Biology" Volume 844, Springer, New York, 2014
A. Köthe, A. Marciniak-Czochra, "Multistability and hysteresis-based mechanism of pattern formation in biology", in "Pattern Formation in Morphogenesis-problems and their Mathematical Formalization", V. Capasso, M. Gromov, N. Morozova (Eds.), Springer "Proceedings in Mathematics" 15: 153-173, 2013
A. Marciniak-Czochra, T. Stiehl, "Mathematical models of hematopoietic reconstitution after stem cell transplantation", in "Model Based Parameter Estimation: Theory and Applications" H. G. Bock, T. Carraro, W. Jäger, S. Körkel, R. Rannacher, J. P. Schlöder (Eds.), "Contributions in Mathematical and Computational Sciences" Volume 3, Springer Verlag, 2013
A. Marciniak-Czochra, "Reaction-diffusion models of pattern formation in developmental biology", in: "Mathematics and Life Sciences", A. Antoniouk, E. V. N. Melnik, De Gruyter, Germany, 189-212, 2012
A. Marciniak-Czochra, "Mathematical models of stem cells renewal and differentiation", Oberwolfach Reports, 2, 2009
A. Marciniak-Czochra, M. Ptashnyk, "Effects of logistic proliferation in the model of cancer invasion", Proceedings of the XIII National Conference Application of Mathematics in Biology and Medicine, Leszno, September 17-19, 2008

Popular science

A. Marciniak-Czochra, M. Mercker, "Modelling the experimental impossible: Dance of the molecules", Ruperto Carola, Forschungsmagazin 3, 132-139, 2013