Bulletin of Mathematical Biology Special Issue

[1]  L. Segel.  Taxes in Cellular Ecology , 1984 .

[2]  Lee A. Segel,et al.  How instruction and feedback can select the appropriate T helper response , 2002, Bulletin of mathematical biology.

[3]  L A Segel,et al.  Controlling the immune system: diffuse feedback via a diffuse informational network. , 2001, Novartis Foundation symposium.

[4]  H Parnas,et al.  One-vesicle hypothesis for neurotransmitter release: A possible molecular mechanism , 2001, Bulletin of mathematical biology.

[5]  Alan S. Perelson,et al.  Estimating Lymphocyte Division and Death Rates from CFSE Data , 2006, Bulletin of mathematical biology.

[6]  L. Segel,et al.  On modes of recombination, replication, and segregation of the higher plant mitochondrial genome , 1987 .

[7]  I. Parnas,et al.  A new method for determining co-operativity in neurotransmitter release. , 1986, Journal of theoretical biology.

[8]  L. Segel,et al.  On the role of a possible dialogue between cytokine and TCR-presentation mechanisms in the regulation of autoimmune disease. , 1998, Journal of theoretical biology.

[9]  Lee A. Segel,et al.  Managing the delay of evolution of herbicide resistance in parasitic weeds , 1996 .

[10]  L. Segel,et al.  Colonization of the thymus by T cell progenitors: models for cell-cell interactions. , 1994, Journal of Theoretical Biology.

[11]  Lee A. Segel,et al.  Implementation and extension of MacWilliams model for pre-stalk pre-spore regulation in cellular slime mold , 1986 .

[12]  Lee A. Segel,et al.  PATTERN GENERATION IN SPACE AND ASPECT. , 1985 .

[13]  L. Segel,et al.  A singular perturbation approach to diffusion reaction equations containing a point source, with application to the hemolytic plaque assay , 1978, Journal of mathematical biology.

[14]  Lee A. Segel,et al.  Diffuse feedback from diffuse information in complex systems , 2000, Complex..

[15]  Lee A. Segel,et al.  Averaged Equations for Two-Phase Flows , 1971 .

[16]  A case study of linear versus non-linear modelling. , 1983, Journal of theoretical biology.

[17]  I. Parnas,et al.  On the Feedback Between Theory and Experiment in Elucidating the Molecular Mechanisms Underlying Neurotransmitter Release , 2006, Bulletin of mathematical biology.

[18]  L. Segel,et al.  Shape space: an approach to the evaluation of cross-reactivity effects, stability and controllability in the immune system. , 1989, Immunology letters.

[19]  L. Segel,et al.  Nonlinear aspects of the Cahn-Hilliard equation , 1984 .

[20]  Lee A. Segel,et al.  Modelling the Effectiveness of Herbicide Rotations and Mixtures as Strategies to Delay or Preclude Resistance , 1990, Weed Technology.

[21]  Lee A. Segel,et al.  Facilitation as a tool to study the entry of calcium and the mechanism of neurotransmitter release , 1989, Progress in Neurobiology.

[22]  L. Segel,et al.  Model for chemotaxis. , 1971, Journal of theoretical biology.

[23]  Lee A. Segel,et al.  A minimal biophysical model for an excitable and oscillatory neuron , 1991, Biological Cybernetics.

[24]  L. Segel.  Toward Artificial Competence , 1994 .

[25]  Lee A. Segel,et al.  Modulated excitability: a new way to obtain bursting neurons , 2004, Biological Cybernetics.

[26]  R. Donnelly,et al.  Nonequilibrium Thermodynamics, Variational Techniques, and Stability. , 1965, Science.

[27]  Lee A. Segel,et al.  Release of Neurotransmitter Induced by Ca2+-Uncaging: Reexamination of the Ca-Voltage Hypothesis for Release , 2005, Journal of Computational Neuroscience.

[28]  L. Segel,et al.  MHC-Linked Syngeneic Developmental Preference in Thymic Lobes Colonized with Bone Marrow Cells: A Mathematical model , 1998, Developmental immunology.

[29]  A S Perelson,et al.  Pattern formation in one- and two-dimensional shape-space models of the immune system. , 1992, Journal of theoretical biology.

[30]  L. Segel,et al.  What Controls the Exocytosis of Neurotransmitter , 1991 .

[31]  L. Segel,et al.  Initiation of slime mold aggregation viewed as an instability. , 1970, Journal of theoretical biology.

[32]  Mario Markus,et al.  From chemical to biological organization , 1988 .

[33]  L. Segel,et al.  A mechanism for discharge of charged excitatory neurotransmitter. , 1997, Biophysical journal.

[34]  Lee A. Segel,et al.  Diffuse coevolution in plant-herbivore communities , 1990 .

[35]  Edmund J. Crampin,et al.  Mode Transitions in a Model Reaction–Diffusion System Driven by Domain Growth and Noise , 2006, Bulletin of mathematical biology.

[36]  Lee A. Segel,et al.  Some effects of suspended particles on the onset of Bénard convection , 1973 .

[37]  Alan S. Perelson,et al.  Shape space analysis of immune networks , 1989 .

[38]  U Alon,et al.  Generation of oscillations by the p53-Mdm2 feedback loop: a theoretical and experimental study. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[39]  L. Segel,et al.  Analysis of Fluidized Beds and Foams Using Averaged Equations , 1971 .

[40]  K. A. Hibberd,et al.  Herbicide Resistance in Plants , 2020 .

[41]  Lee A. Segel,et al.  On the distribution of dominance in populations of social organisms , 1992 .

[42]  I. Davies.  IXth International Congress on Mathematical Physics , 1989 .

[43]  Irun R Cohen,et al.  Informational Landscapes in Art, Science, and Evolution , 2006, Bulletin of mathematical biology.

[44]  Lee A. Segel,et al.  Growth and metabolism in mycelial fungi , 1983 .

[45]  L. A. Segel,et al.  A gradually slowing travelling band of chemotactic bacteria , 1984, Journal of mathematical biology.

[46]  L. Segel,et al.  Multiple attractors in immunology: theory and experiment. , 1998, Biophysical chemistry.

[47]  L. Segel,et al.  On the role of feedback in promoting conflicting goals of the adaptive immune system. , 1999, Journal of immunology.

[48]  Ilya Safro,et al.  Collective stochastic versions of playable games as metaphors for complex biosystems: Team connect four , 2003, Complex..

[49]  A nonlinear stability analysis of the freezing of a dilute binary alloy , 1970, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[50]  L. Segel,et al.  Computing an organism , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[51]  L. Segel,et al.  Adaptation, oscillations and relay in a model for cAMP secretion in cellular slime molds. , 1988, Journal of theoretical biology.

[52]  L. Segel.  Application of conformal mapping to boundary perturbation problems for the membrane equation , 1961 .

[53]  From Biochemistry to Morphogenesis in Myxobacteria , 2006, Bulletin of mathematical biology.

[54]  Stephanie Forrest,et al.  Homeostasis of peripheral immune effectors , 2004, Bulletin of mathematical biology.

[55]  Alan S. Perelson,et al.  A paradoxical instability caused by relatively short-range inhibition , 1990 .

[56]  Lee A. Segel,et al.  T-CELL VACCINATION VIA REVERSE ENGINEERING: TRANSIENT DISEASE , 1995 .

[57]  Lee A. Segel.  The Importance of Asymptotic Analysis in Applied Mathematics , 1966 .

[58]  Hanna Parnas,et al.  Can the Ca2+ hypothesis and the Ca2+-voltage hypothesis for neurotransmitter release be reconciled? , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[59]  L. Segel,et al.  Mathematics Applied to Continuum Mechanics , 1977 .

[60]  L. Segel,et al.  A Model for Fungal Colony Growth Applied to Sclerotium rolfsii , 1983 .

[61]  L. Segel,et al.  Instability of a layer of chemotactic cells, attractant and degrading enzyme. , 1972, Journal of theoretical biology.

[62]  L. Segel,et al.  Analysis of countercurrent diffusion exchange in blood vessels of the renal medulla. , 1971, The American journal of physiology.

[63]  L. Segel,et al.  Traveling bands of chemotactic bacteria: a theoretical analysis. , 1971, Journal of theoretical biology.

[64]  L. Segel,et al.  Co-operative response of oligomeric protein receptors coupled to non-co-operative ligand binding. , 1975, Journal of molecular biology.

[65]  L. Segel,et al.  Design Principles for the Immune System and Other Distributed Autonomous Systems , 2001 .

[66]  Science as a Medium for Friendship: How the Keller–Segel Models Came About , 2006, Bulletin of mathematical biology.

[67]  A Goldbeter,et al.  A mechanism for exact sensory adaptation based on receptor modification. , 1986, Journal of Theoretical Biology.

[68]  Lee A. Segel,et al.  A basic biophysical model for bursting neurons , 1993, Biological Cybernetics.

[69]  L. Segel,et al.  Finite amplitude cellular convection induced by surface tension , 1967, Journal of Fluid Mechanics.

[70]  Lee A. Segel,et al.  Dynamic Phenomena in Molecular and Cellular Biology , 1988 .

[71]  Lee A. Segel,et al.  Distant side-walls cause slow amplitude modulation of cellular convection , 1969, Journal of Fluid Mechanics.

[72]  L. Segel,et al.  Incorporation of receptor kinetics into a model for bacterial chemotaxis. , 1976, Journal of theoretical biology.

[73]  L. Segel,et al.  A model for the establishment of pattern by positional differentiation with memory. , 1984, Journal of theoretical biology.

[74]  H Parnas,et al.  A computer simulation of pulsatile aggregation in Dictyostelium discoideum. , 1978, Journal of theoretical biology.

[75]  Lee A. Segel,et al.  Mathematics applied to deterministic problems in the natural sciences , 1974, Classics in applied mathematics.

[76]  A Goldbeter,et al.  Unified mechanism for relay and oscillation of cyclic AMP in Dictyostelium discoideum. , 1977, Proceedings of the National Academy of Sciences of the United States of America.

[77]  R. Mehr.  Feedback Loops, Reversals and Nonlinearities in Lymphocyte Development , 2006, Bulletin of mathematical biology.

[78]  H Parnas,et al.  On the contribution of mathematical models to the understanding of neurotransmitter release. , 1990, International review of neurobiology.

[79]  L. Segel,et al.  Modeling immunotherapy for allergy. , 1996, Bulletin of mathematical biology.

[80]  Exhaustion of calcium does not terminate evoked neurotransmitter release. , 1984, Journal of theoretical biology.

[81]  L. Segel,et al.  A theoretical explanation for some effects of calcium on the facilitation of neurotransmitter release. , 1980, Journal of theoretical biology.

[82]  L. Segel,et al.  On the validity of the steady state assumption of enzyme kinetics. , 1988, Bulletin of mathematical biology.

[83]  L. Segel,et al.  A simple quantitative assay for bacterial motility. , 1977, Journal of general microbiology.

[84]  L A Segel,et al.  A numerical study of the formation and propagation of traveling bands of chemotactic bacteria. , 1974, Journal of theoretical biology.

[85]  L. Segel,et al.  On the quantal hypothesis of neurotransmitter release: an explanation for the calcium dependence of the binomial parameters. , 1986, Journal of theoretical biology.

[86]  Lee A. Segel,et al.  Scaling in biochemical kinetics: dissection of a relaxation oscillator , 1994 .

[87]  L. Segel,et al.  Th1 or Th2: How an appropriate T helper response can be made , 2001, Bulletin of mathematical biology.

[88]  I. Parnas,et al.  Autoreceptors, membrane potential and the regulation of transmitter release , 2000, Trends in Neurosciences.

[89]  S. I. Rubinow,et al.  A mathematical framework for the study of morphogenetic development in the slime mold , 1981 .

[90]  L. Segel,et al.  Plasmid copy number control: a case study of the quasi-steady-state assumption. , 1992, Journal of theoretical biology.

[91]  L. Segel,et al.  Neurotransmitter discharge and postsynaptic rise times. , 1996, Biophysical journal.

[92]  L. Segel.  SIMPLIFICATION AND SCALING , 1972 .

[93]  H Parnas,et al.  Ways to discern the presynaptic effect of drugs on neurotransmitter release. , 1982, Journal of theoretical biology.

[94]  L. Segel,et al.  The paucity of plants evolving genetic resistance to herbicides: possible reasons and implications. , 1978, Journal of theoretical biology.

[95]  L. Segel,et al.  Reverse engineering: a model for T-cell vaccination. , 1993, Bulletin of mathematical biology.

[96]  L. Segel,et al.  Effects of Surface Curvature and Property Variation on Cellular Convection , 1968 .

[97]  L. Peliti,et al.  Biologically inspired physics , 1991 .

[98]  L. Segel,et al.  On Topological Simulations in Developmental Biology , 1994 .

[99]  L. Segel,et al.  A molecular mechanism for sensory adaptation based on ligand-induced receptor modification. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[100]  L. Segel,et al.  Breakdown of a stationary solution to the Nernst–Planck–Poisson equations , 1979 .

[101]  L. A. Segel,et al.  The Quasi-Steady-State Assumption: A Case Study in Perturbation , 1989, SIAM Rev..

[102]  L. Segel,et al.  A quantitative model of autoimmune disease and T-cell vaccination: does more mean less? , 1995, Immunology today.

[103]  A. Mogilner,et al.  Nonlocal Mechanism of Self-Organization and Centering of Microtubule Asters , 2006, Bulletin of mathematical biology.

[104]  M. Ward,et al.  Asymptotic Methods for Reaction-Diffusion Systems: Past and Present , 2006, Bulletin of mathematical biology.

[105]  Lee A. Segel,et al.  Non-linear wave-number interaction in near-critical two-dimensional flows , 1971, Journal of Fluid Mechanics.

[106]  A Goldbeter,et al.  Control of developmental transitions in the cyclic AMP signalling system of Dictyostelium discoideum. , 1980, Differentiation; research in biological diversity.

[107]  L. Segel.  Standing-gradient flows driven by active solute transport. , 1970, Journal of theoretical biology.

[108]  Alan S. Perelson,et al.  Recent approaches to immune networks , 1993 .

[109]  L. Segel,et al.  Conflict between Positive and Negative Feedback as an Explanation for the Initiation of Aggregation in Slime Mould Amoebae , 1970, Nature.

[110]  Lee A. Segel,et al.  Herbicide rotations and mixtures : effective strategies to delay resistance , 1990 .

[111]  N. Zabusky.  Grappling with Complexity , 1987 .

[112]  Lee A. Segel,et al.  Pattern Formation in Aspect , 1984 .

[113]  Simon A. Levin,et al.  Frontiers in Mathematical Biology , 1995 .

[114]  H Parnas,et al.  Diffusion cannot govern the discharge of neurotransmitter in fast synapses. , 1994, Biophysical journal.

[115]  L. Segel,et al.  How growth affects the fate of cellular metabolites , 2005, Bulletin of mathematical biology.

[116]  Alan S. Perelson,et al.  Exploiting the diversity of time scales in the immune system: A B-cell antibody model , 1991 .

[117]  Lee A. Segel,et al.  Mathematical models in molecular and cellular biology , 1982, The Mathematical Gazette.

[118]  L. Segel,et al.  The immune system as a prototype of autonomous decentralized systems , 1997, 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation.

[119]  L. Segel,et al.  Models of the influence of predation on aspect diversity in prey populations , 1982, Journal of mathematical biology.

[120]  L. A. Segel,et al.  Some Reflections on Memory in Shape Space , 1989 .

[121]  Lee A. Segel,et al.  Negative Cross Resistance; a Possible Key to Atrazine Resistance Management: A Call for Whole Plant Data , 1990 .

[122]  Application of conformal mapping to viscous flow between moving circular cylinders , 1961 .

[123]  L. Segel,et al.  A theoretical study of calcium entry in nerve terminals, with application to neurotransmitter release. , 1981, Journal of theoretical biology.

[124]  L. Segel.  The structure of non-linear cellular solutions to the Boussinesq equations , 1965, Journal of Fluid Mechanics.

[125]  A. Goldbeter.  Oscillations and waves of cyclic AMP in Dictyostelium: A prototype for spatio-temporal organization and pulsatile intercellular communication , 2006, Bulletin of mathematical biology.

[126]  L. Segel,et al.  Hypothesis for origin of planktonic patchiness , 1976, Nature.

[127]  L. Segel,et al.  Oxygen and differentiation inDictyostelium discoideum , 1998, Journal of Biosciences.

[128]  L. Segel.  The non-linear interaction of two disturbances in the thermal convection problem , 1962 .

[129]  L. Segel,et al.  Theory of fast neurotransmitter release control based on voltage-dependent interaction between autoreceptors and proteins of the exocytotic machinery , 1999, Bulletin of mathematical biology.

[130]  L. Segel,et al.  Theory for the feedback inhibition of fast release of neurotransmitter , 1999, Bulletin of mathematical biology.

[131]  J. L. Jackson,et al.  Dissipative structure: an explanation and an ecological example. , 1972, Journal of theoretical biology.

[132]  Modeling the Bursting Interneurons of the Lobster Cardiac Ganglion , 1995 .

[133]  L. Segel,et al.  Extending the quasi-steady state approximation by changing variables. , 1996, Bulletin of mathematical biology.

[134]  A Goldbeter,et al.  Excitability in the adenylate cyclase reaction in Dictyostelium discoideum , 1978, FEBS letters.

[135]  L. Segel,et al.  Release kinetics as a tool to describe drug effects on neurotransmitter release. , 1990, Journal of theoretical biology.

[136]  H Parnas,et al.  Neurotransmitter release: development of a theory for total release based on kinetics. , 1989, Journal of theoretical biology.

[137]  A. Doelman,et al.  Nonlinear Dynamics and Pattern Formation in the Natural Environment , 1995 .

[138]  L. Segel.  The non-linear interaction of a finite number of disturbances to a layer of fluid heated from below , 1965, Journal of Fluid Mechanics.

[139]  L. Segel,et al.  Human haematopoiesis in steady state and following intense perturbations , 2002, Bulletin of mathematical biology.

[140]  L. Segel.  Toward Molecular Sensory Physiology: Mathematical Models , 1987 .

[141]  L. Segel,et al.  Immunology Viewed as the Study of an Autonomous Decentralized System , 1998 .

[142]  Alexandra Jilkine,et al.  Polarization and Movement of Keratocytes: A Multiscale Modelling Approach , 2006, Bulletin of mathematical biology.

[143]  L. Segel,et al.  Local probes and heterogeneous catalysis: a case study of a mitochondria-luciferase-hexokinase coupled system. , 1992, Journal of theoretical biology.

[144]  Lee A. Segel,et al.  A Theoretical Study of Receptor Mechanisms in Bacterial Chemotaxis , 1977 .

[145]  The Evolution of Resource Adaptation: How Generalist and Specialist Consumers Evolve , 2006, Bulletin of mathematical biology.

[146]  L. Segel,et al.  On spatial periodicity in the formation of cell adhesions to a substrate , 1983, Cell Biophysics.

[147]  L. Segel,et al.  Reduction of polarization by ion-conduction spacers: theoretical evaluation of a model system , 1978 .

[148]  L. Segel,et al.  On the question of the preferred mode in cellular thermal convection , 1962, Journal of Fluid Mechanics.

[149]  Lee A. Segel.  Some Spatio-Temporal Models in Immunology , 2002, Int. J. Bifurc. Chaos.

[150]  L. Segel,et al.  The placenta may predict the baby. , 2003, Journal of theoretical biology.

[151]  H Parnas,et al.  Computer evidence concerning the chemotactic signal in Dictyostelium discoideum. , 1977, Journal of cell science.

[152]  Daniel Coombs,et al.  A Theoretical and Experimental Study of Competition Between Solution and Surface Receptors for Ligand in a Biacore Flow Cell , 2006, Bulletin of mathematical biology.

[153]  L. Segel,et al.  Lipid diffusion in neurons , 1993, Nature.