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Dream like you'll live forever ... Love like you've never been hurt .... Work like you don't need the money ... and ..... Dance like nobody is watching! Satchel Paige Age is a question of mind and matter.. If you don't mind, it doesn't matter! Mark Twain

Hans G. Othmer School of Mathematics 270A Vincent Hall University of Minnesota Minneapolis, MN 55455 USA E-mail: othmer@math.umn.edu Office: (612) 624-8325 Fax: (612) 626-2017 Department: (612) 625-9845

Table Of Contents

• Some Pictures
• Links to Papers

Pictures

Spiral wave of cAMP computed from the Dictyostelium signalling model (cf. Dallon and Othmer (1997)).	Superposition of the cAMP wave (dark blue) and the cell streams.

Recent (and not so recent, but still in demand) Papers

• Instability and dynamic pattern in cellular networks, J Theor Biol, 32, 507-537, (1971) (with L.E. Scriven). pdf file



• On the significance of finite propagation speeds in multicomponent reacting systems, J. Chem. Phys.., 6, 460-470, (1976) . pdf file



• The dynamics of feedback control circuits in biochemical pathways, Prog. Theor. Biol., 5, 1-62, (1978) (with J. Tyson). pdf file



• Scale-invariance in reaction-diffusion models of spatial pattern formation, PNAS, 7, 4180-4184, (1980) (with E. Pate). pdf file



• The interaction of structure and dynamics in chemical reaction networks , in Modelling of Chemical Reaction Systems, (K.H. Ebert, P. Deuflhard, W. Jager, eds.), Springer-Verlag: Heidelberg (1981). pdf file



• Models of dispersal in biological systems, J. Math. Biol., 26, 263-298 (1988) (with S. Dunbar and W. Alt) . pdf file



• On the resonance structure in a forced excitable system, SIAM JAM , 50, 1373-1418 (1990) (with J. Alexander and E. Doedel)) . pdf file



• A G-protein-based model for cAMP dynamics in Dictyostelium discoideum, Math Biosciences, 120, 25-76, (1994) (with Y. Tang). pdf file



• Frequency encoding in excitable systems with applications to calcium oscillations, PNAS, 98, 75-110, (1996) (with Y. Tang). pdf file



• Excitation, oscillations and wave propagation in a G-protein-based model of signal transduction in Dictyostelium discoideum, Phil Trans Roy Soc, 349, 179-195, (1996) (with Y. Tang). pdf file



• Resonance in excitable systems under step-function forcing. II. Subharmonic solutions and persistence, Physica D, 92, 7869-7873, (1996) (with M. Xie and M. Watanabe). pdf file



• Simplification and analysis of models of calcium dynamics based on IP₃ sensitive calcium channel kinetics, Biophys. Jour., 70, 246-263, (1996) (with Y. Tang).



• Aggregation, Blowup and Collapse: The ABC's of taxis in reinforced random walks, SIAM J. Applied Math., 57, 1044-1081 (1997), (with Angela Stevens). pdf file



• A discrete cell model with adaptive signaling for aggregation of Dictyostelium discoideum, Phil. Trans. Roy. Soc. (Lon.), 352, 391-418, (1997) (with J. Dallon). pdf file



• A discrete cell model with adaptive signalling, In Dynamics of Cell and Tissue Motion, W. Alt, A. Deutsch and G. Dunn, eds. Birkhauser-Verlag, (1997), 195-197, (with J. Dallon).



• Scalable implicit methods for reaction-diffusion equations in two and three space dimensions, In Proc. of the Copper Mountain Conference on Iterative Methods, 1-7, (1996).



• Signal transduction and second messenger systems, In Case Studies in Mathematical Modeling -- Ecology, Physiology,and Cell Biology, H. G. Othmer, F. R. Adler, M. A. Lewis and J. C. Dallon, eds, 99-126, (1996).



• A model of excitation and adaptation in bacterial chemotaxis, PNAS, 94, 7263-7268, (1997), (with P. Spiro and J. S. Parkinson). pdf file



• Oscillatory cAMP signaling in the development of Dictyostelium discoideum, Comments on Theoretical Biology, 5, 175-282, (1998), (with P. Schaap). pdf file



• A continuum analysis of the chemotactic signal seen by Dictyostelium discoideum, J. Theor. Biol., 194, 461-483, (1998). (with J. Dallon) pdf file



• Pattern formation in a cellular slime mold, In Numerical Methods for Bifurcation Problems and Large-Scale Dynamical Systems, E. Doedel and L. S. Tuckerman, (eds.), IMA Proceedings, 119, 359-383, (2000), (with B. Lilly and J. C. Dallon). pdf file



• A mathematical model for outgrowth and spatial patterning of the vertebrate limb bud, J. Theor. Biol., 197, 295-330, (1999), (with R. Dillon). pdf file



• Stripe formation in juvenile Pomacanthus explained by a generalized Turing mechanism with chemotaxis, PNAS, 96, 5549-5554, (1999), (with K. J. Painter and P. K. Maini). pdf file



• Subharmonic resonance and chaos in forced excitable systems, J. Math. Biol., 39, 139-171, (1999), (with M. Xie). pdf file



• The effect of heterogeneously-distributed RYR channels on calcium dynamics in cardiac myocytes, Bull. Math. Biol., 61, 651-681, (1999). (with P. Spiro). pdf file



• Development and applications of a model for cellular response to multiple chemotactic cues, J. Math. Biol., 41, 285-314 (2000), (with K. J. Painter and P. K. Maini). pdf file



• A chemotactic model for the advance and retreat of the primitive streak in avian development, Bull. Math. Biol, 62, 501-525, (2000), (with K. J. Painter and P. K. Maini). pdf file



• The diffusion limit of transport equations derived from a velocity jump process, SIAM JAM, 61, 751-775, (2000), (with Thomas Hillen) pdf file



• Discrete and continuum models of primitive streak formation, in Mathematical Models for Biological Pattern Formation, P. K. Maini and H. G. Othmer, (eds.), 11-35,( 2001), (with S. Schnell, K. J. Painter and P. K. Maini).pdf file



• A model for individual and collective cell movement in Dictyostelium discoideum, PNAS, 97, 10446-10453, (2000), (with E. Palsson). pdf file



• Chemotaxis equations from the diffusion limit of transport equations, SIAM JAM, 62, 1222-1250, (2002), (with Thomas Hillen). pdf file



• Localization in lattice and continuum models of reinforced random walks, Appld Math Letters, 16, #3, 375-381, (2003), (with Kevin Painter and Dirk Horstmann). pdf file



• The topology of the regulatory interactions predict the expression pattern of the segment polarity genes in Drosophila melanogaster, J. Theor. Biol., 223,1-18, (2003), (with Reka Albert). pdf file



• Aggregation under local reinforcement: From lattice to continuum, Eur. J. Appld. Math, 15, 545-576, (2004), (with D. Horstmann and K. Painter) . pdf file



• Short- and long-range effects of Sonic hedgehog in limb development, PNAS, 100, 10152-10157, (2003), (with C. Gadgil and R. Dillon). pdf file



• From individual to collective behavior in bacterial chemotaxis, SIAM JAM, 65, 361-391 , (2004), (with R. Erban). pdf file



• Application of coarse integration to bacterial chemotaxis, Multiscale Modeling and Simulation, 4, 307-327, (2005), (with S.Setayeshgar, C. W. Gear and I. G. Kevrekidis). pdf file



• A continuum model of motility in amoeboid cells, Bull. Math. Biol., 66, 167-193, (2004), (with M. Gracheva). pdf file



• Mathematical modeling of tumor-induced angiogenesis, J. Math. Biol., 49, 111-187, (2004), (with N. Mantzaris and S. Webb). pdf file



• Dynamic receptor team formation can explain the high signal transduction gain in E. coli, Biophys. J., 86, 2650-2659, (2004), (with R. Albert and Y. Chiu). pdf file



• A stochastic analysis of first-order reaction networks, Bull. Math. Biol., 67, 901-946, (2005), (with C. Gadgil and C. H. Lee). pdf file



• How cellular movement determines the collective force generated by the Dictyostelium discoideum slug, J. Theor. Biol, 231 , 203-222, (2004), (with J. Dallon). pdf file



• From signal transduction to spatial pattern formation in E. coli: A paradigm for multi-scale modeling in biology, Multiscale Modeling and Simulation, 3 , 362-394, (2005), (with R. Erban). pdf file



• Wave propagation and blocking in inhomogeneous media, Discrete and Continuous Dynamical Systems, 13, 843-876, (2005), (with D. G. Aronson and N. V. Mantzaris). pdf file



• Facilitated transport of a Dpp/Scw heterodimer by Sog/Tsg leads to robust patterning of the Drosophila blastoderm embryo, Cell, 120, 873-886, (2005), (with O. Shimmi, D. Umulis and M. O Connor). pdf file



• An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal, Physica D, 215 , 1-24, (2006), (with R. Erban and I. G. Kevrekidis). pdf file



• A model for a G-protein-mediated mechanism for synaptic channel modulation, Mathematical Biosciences, 200 ,188-213, (2006), (with G. Soto). pdf file



• Shaping BMP morphogen gradients in the Drosophila embryo and pupal wings, Development, 133, (2), 183-93, (2006), (with M. O'Connor, D. Umulis, and S. Blair). pdf file



• Taxis equations for amoeboid cells, J. Math. Biol., 54, 847-885, (2007), (with R. Erban). pdf file



• Macroscopic taxis equations from cell-based models, Oberwolfach Reports, to appear, (2006), (with R. Erban). pdf file



• A theoretical approach to actin filament dynamics, J. Stat. Phys.,128, (1), 111-138 , (2006), (with J. Hu and T. Matzavinos). pdf file



• Robust, bistable, Bmp-dependent patterning of the Drosophila blastoderm embryo, PNAS, 103, 11613-11618, (2006), (with D. Umulis, M. Serpe and M. B. O'Connor). pdf file
Supporting online material pdf file


• A stochastic analysis of actin polymerization in the presence of twinfilin and gelsolin, J. Theor. Biol., 249 , 723-736, (2007), (with A. Matzavinos). pdf file



• A hybrid model for tumor spheroid growth in vitro I: Theoretical development and early results , Math. Models Methods in Appl Sci, 17,1773-1798, (2007), (with Y. Kim and M. Stolarska). pdf file



• Robustness of embryonic spatial patterning in Drosophila melanogaster , Current Topics in Developmental Biology, 81,65-111, (2007), (with D. Umulis and M. B. O'Connor). pdf file



• The BMP binding protein Crossveinless 2 is a short-range, concentration-dependent, biphasic modulator of BMP signaling in Drosophila , Developmental Cell, to appear (2008), (with M. Serpe, D. Umulis, A. Ralston, J. Chen, D. Olson, A. Avanesov, M. B. O'Connor, and S. Blair). pdf file



• The dynamics of SQUIDs and coupled pendula, In Numerical Continuation Methods for Dynamical Systems, B. Krauskopf, et al., eds, Springer, (2007), pp 155-176 (with D. Aronson). pdf file



• The Variety of Cytosolic Calcium Responses and Possible Roles of PLC and PKC, Phys. Biol., 4, 4, 325-343, (2007) (with M. Kang) pdf file



• Multiscale models of taxis-driven patterning in bacterial populations, SIAM JAM, submitted, (2007) (with C. Xue). pdf file

Last Update: Jan 23, 2008