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Bulletin of Mathematical Biology Special Issue

A Tribute to Lee Segel

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References

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Publications by L. A. Segel

  • Segel, L.A., 1960. A uniformly-valid asymptotic expansion of the solution to an unsteady boundary-layer problem. J. Math. Phys. 39, 189–197.

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  • Segel, L.A., 1961. Application of conformal mapping to boundary perturbation problems for the membrane equation. Arch. Ration. Mech. Anal. 8, 228–237.

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  • Segel, L.A., 1961. Application of conformal mapping to viscous flow between moving circular cylinders. Q. Appl. Math. 18, 335–353.

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  • Segel, L.A., 1962. The nonlinear interaction of two disturbances in the thermal convection problem. J. Fluid Mech. 14, 97–114.

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  • Segel, L.A., Stuart, J.T., 1962. On the question of the preferred mode in cellular thermal convection. J. Fluid Mech. 13, 289–306.

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  • Segel, L.A., 1965. The nonlinear interaction of a finite number of disturbances to a layer of fluid heated from below. J. Fluid Mech. 21, 359–384.

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  • Segel, L.A., 1965. The structure of nonlinear cellular solutions to the Boussinesq equations. J. Fluid Mech. 21, 345–358.

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  • Segel, L.A., 1966. Nonlinear hydrodynamic stability theory and its application to thermal convection and curved flows. In: Donnelly, R.J., Prigogine, I., Herman, R. (Eds.), Non-equilibrium thermodynamics: Variational techniques and stability. University of Chicago Press, pp. 165–197.

  • Segel, L.A., 1966. The importance of asymptotic analysis in applied mathematics. Am. Math. Mon. 73, 7–14.

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  • Scanlon, J.W., Segel, L.A., 1967. Finite amplitude cellular convection induced by surface tension. J. Fluid Mech. 30, 149–162.

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  • Davis, S.H., Segel, L.A., 1968. Effects of surface curvature and property variation on cellular convection. Phys. Fluids 11, 470–476.

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  • Segel, L.A., 1969. Distant sidewalls cause slow amplitude modulation of cellular convection. J. Fluid Mech. 38, 203–224.

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  • Keller, E.F., Segel, L.A., 1970. Conflict between positive and negative feedback as an explanation for the initiation of aggregation in slime mold amoebae. Nature 227, 1365.

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  • Keller, E.F., Segel, L.A., 1970. The initiation of slime mold aggregation viewed as an instability. J. Theor. Biol. 26, 399–415.

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  • Segel, L.A., 1970. Standing gradient flows driven by active solute transport. J. Theor. Biol. 29, 233–250.

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  • Wollkind, D.J., Segel, L.A., 1970. A nonlinear stability analysis of the freezing of a dilute binary alloy. Phil. Trans. R. Soc. London 268, 351–380.

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  • DiPrima, R.C., Eckhaus, W., Segel, L.A., 1971. Nonlinear wave-number interaction in near-critical two-dimensional flows. J. Fluid Mech. 49, 705–744.

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  • Drew, D.A., Segel, L.A., 1971. Analysis of fluidized beds and foams using averaged equations. Stud. Appl. Math. 50, 233–257.

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  • Drew, D.A., Segel, L.A., 1971. Averaged equations for two-phase flows. Stud. Appl. Math. 50, 205–231.

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  • Keller, E.F., Segel, L.A., 1971. Model for chemotaxis. J. Theor. Biol. 30, 225–234.

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  • Keller, E.F., Segel, L.A., 1971. Travelling bands of chemotactic bacteria: A theoretical analysis. J. Theor. Biol. 30, 235–248.

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  • Marsh, D.J., Segel, L.A., 1971. Analysis of counter-current diffusion exchange in blood vessels of the renal medulla. Am. J. Physiol. 817–828.

  • Segel, L.A., 1971. On collective motions of chemotactic cells. In: Cowan, J.D. (Ed.), Some Mathematical Questions in Biology, American Mathematical Society, Providence, Rhode Island, pp. 3–46.

  • Segel, L.A., 1971. On the effect of sidewalls in cellular convection. In: Leipholz, H. (Ed.), Instability of Continuous Systems, International Union of Theoretical and Applied Mechanics Symposium, Springer-Verlag, Berlin, pp. 158–161.

  • Segel, L.A., 1972. Simplification and scaling. SIAM Rev. 14, 547–571.

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  • Segel, L.A., Jackson, J.L., 1972. Dissipative structure: An explanation and an ecological example. J. Theor. Biol. 37, 545–559.

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  • Segel, L.A., Stoeckley, B., 1972. Instability of a layer of chemotactic cells, attractant, and degrading enzyme. J. Theor. Biol. 37, 561–585.

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  • Scanlon, J.W., Segel, L.A., 1973. Some effects of suspended particles on the onset of Bénard convection. Phys. Fluids 16, 1573–1578.

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  • Segel, L.A., Jackson, J.L., 1973. Theoretical analysis of chemotactic movement in bacteria. J. Mech. Chem. Cell Motil. 2, 25–34.

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  • Scribner, T., Segel, L.A., Rogers, E.H., 1974. A numerical study of the formation and propagation of traveling bands of chemotactic bacteria. J. Theor. Biol. 46, 189–219.

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  • Levitzki, A., Segel, L.A., Steer, M., 1975. Cooperative response of oligomeric protein receptors coupled to non-cooperative ligand binding. J. Mol. Biol. 91, 125–130.

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  • Hardt, S., Naparstek, A., Segel, L.A., Caplan, S.R., 1976. Spatio-temporal structure formation and signal propagation in a homogeneous enzymatic membrane. In: Thomas, D., Kernevez, J. (Eds.), Analysis and Control of Immobilized Enzyme Systems, North-Holland Publishing Co., Amsterdam, pp. 9–15.

  • Levin, S.A., Segel, L.A., 1976. Hypothesis for origin of planktonic patchiness. Nature 259 659.

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  • Segel, L.A., 1976, On the relation between the local interaction of cells and their global transformation. In: Marois, A. (Ed.), Proceedings of Fourth International Conference on Theoretical Physics and Biology (Versailles, 1973), North-Holland Press, Amsterdam.

  • Segel, L.A., 1976. Incorporation of receptor kinetics into a model for bacterial chemotaxis. J. Theor. Biol. 57, 23–42.

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  • Segel, L.A., Levin, S.A., 1976. Applications of nonlinear stability theory to the study of the effects of dispersion on predator-prey interactions. In: Piccirelli, R. (Ed.), Selected Topics in Statistical Mechanics and Biophysics, American Institute of Physics Symposium 27, pp. 123–152.

  • Goldbeter, A., Segel, L.A., 1977. Unified mechanism for relay and oscillation of cyclic AMP in Dictyostelium discoideum. Proc. Natl. Acad. Sci. (U.S.A.) 74, 1543–1547.

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  • Parnas, H., Segel, L.A., 1977. Computer evidence concerning chemotactic response in aggregating Dictyostelium discoideum. J. Cell Sci. 25, 191–204.

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  • Segel, L.A., 1977. A theoretical study of receptor mechanisms in bacterial chemotaxis. SIAM J. Appl. Math. 32, 653–665.

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  • Segel, L.A., 1977. An introduction to continuum theory. In: DiPrima, R.C. (Ed.), Modern Modeling of Continuum Phenomena Lectures in Applied Mathematics 16, American Mathematical Society, Providence, R.I., pp. 1–60.

  • Segel, L.A., Chet, I., Hennis, Y., 1977. A simple quantitative assay for bacterial motility. J. Gen. Microbiol. 8, 329–337.

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  • Goldbeter, A., Erneux, T., Segel, L.A., 1978. Excitability in the adenylate cyclase reaction in Dictyostelium discoideum. FEBS Lett. 89, 237–241.

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  • Gressel, J., Segel, L.A., 1978. The paucity of plants evolving genetic resistance to herbicides: Possible reasons with implications. J. Theor. Biol. 349–371.

  • Kedem, O., Rubinstein, I., Segel, L.A., 1978. Reduction of polarization by ion-conduction spacers: Theoretical evaluation of a model system. Desalination 27, 143–156.

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  • Parnas, H., Segel, L.A., 1978. A computer simulation of pulsatile aggregation in Dictyostelium discoideum. J. Theor. Biol. 71, 185–207.

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  • Perelson, A., Segel, L.A., 1978. A singular perturbation approach to diffusion reaction equations containing a point source, with application to the hemolytic plaque assay. J. Math. Biol. 6, 75–85.

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  • Segel, L.A., 1978. Mathematical models for cellular behavior. In: Levin, S. (Ed.), Studies in Mathematical Biology, Mathematical Association of America, pp. 156–190.

  • Rubinstein, I., Segel, L.A., 1979. Breakdown of a stationary solution to the Nernst-Planck-Poisson equations. J. Chem. Soc. Faraday Trans. 75, 936–940.

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  • Segel, L.A., 1979. On deducing the nature and effect of attractant-receptor binding from population movements of chemotactic bacteria. In: DeLisi, C., Blumenthal, R. (Eds.), Physical Chemical Aspects of Cell Surface Events in Cellular Regulation, Elsevier North-Holland Publishing Co., New York, pp. 293–302.

  • Goldbeter, A., Segel, L.A., 1980. Control of developmental transitions in the cyclic AMP signaling system of Dictyostelium discoideum. Differentiation 17, 127–135.

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  • Parnas, H., Segel, L.A., 1980. A theoretical explanation for some effects of calcium on the facilitation of neurotransmitter release. J. Theor. Biol. 84, 3–29.

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  • Gressel, J., Segel, L.A., 1981. Interrelating factors controlling the rate of appearance of resistance: The outlook for the future. In: LeBaron, H., Gressel, J. (Eds.), Herbicide Resistance in Plants, J. Wiley and Co., N.Y., pp. 325–347.

  • Parnas, H., Segel, L.A., 1981. A theoretical study of calcium entry in nerve terminals, with application to neurotransmitter release. J. Theor. Biol. 91, 125–169.

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  • Rubinow, S.I., Segel, L.A., Ebel, W., 1981. A mathematical framework for the study of morphogenetic development in the slime mold. J. Theor. Biol. 91, 99–113.

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  • Rubinstein, I., Segel, L.A., 1981. Sensitivity and instability in standing gradient flow. In: Salanki, J. (Ed.), Physiology of Non-Excitable Cells, Pergamon Press, Oxford, pp. 71–80.

  • Segel, L.A., 1981. A mathematical model relating to herbicide resistance. In: Boyce, W. (Ed.), Case studies in Mathematical Modelling, Pitman Publishing Ltd., London, pp. 1–17.

  • Falkovitz, M.S., Segel, L.A., 1982. Some analytic results concerning the accuracy of the continuous approximation in a polymerization problem. SIAM J. Appl. Math. 42, 542–548.

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  • Falkowitz, M.S., Segel, L.A., 1982. Spatially inhomogeneous polymerization in unstirred bulk. SIAM J. Appl. Math. 42, 542–548.

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  • Levin, S.A., Segel, L.A., 1982. Models of the influence of predation on aspect diversity in prey populations. J. Math. Biol. 14, 253–285.

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  • Parnas, H., Segel, L.A., 1982. Ways to discern the presynaptic effect of drugs on neurotransmitter release. J. Theor. Biol. 94, 923–941.

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  • Segel, L.A., Ducklow, H., 1982. A theoretical investigation into the influence of sublethal stresses on coral bacterial ecosystem dynamics. Bull. Mar. Sci. 32, 919–935.

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  • Edelstein, L., Hadar, Y., Chet, I., Henis, Y., Segel, L.A., 1983. A model for fungal colony growth applied to Sclerotium rolfsii. J. Gen. Microbiol. 129, 1873–1881.

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  • Edelstein, L., Segel, L.A., 1983. Growth and metabolism in mycelial fungi. J. Theor. Biol. 104, 187–210.

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  • Parnas, H., Segel, L.A., 1983. A case study of linear versus nonlinear modelling. J. Theor. Biol. 103, 549–580.

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  • Segel, L.A., Volk, T., Geiger, B., 1983. On spatial periodicity in the formation of cell adhesions to a substrate. Cell Biophys. 5, 95–104.

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  • Keshet, Y., Segel, L.A., 1984. Pattern formation in aspect. In: Jager, W., Murray, J.D. (Eds.), Modeling of Patterns in Space and Time, Springer-Verlag, Berlin, pp. 188–197.

  • Khait, A., Segel, L.A., 1984. A model for the establishment of pattern by positional differentiation with memory. J. Theor. Biol. 110, 135–153.

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  • Novick-Cohen, A., Segel, L.A., 1984. A gradually slowing travelling band of chemotactic bacteria. J. Math. Biol. 19, 125–132.

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  • Novick-Cohen, A., Segel, L.A., 1984. Nonlinear aspects of the Cahn-Hilliard equation. Phys. D Nonlinear Phenom. 10, 277–298.

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  • Parnas, H., Segel, L.A., 1984. Exhaustion of calcium does not terminate neurotransmitter release. J. Theor. Biol. 107, 345–365.

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  • Segel, L.A., 1984. Taxes in cellular ecology. In: Levin, S.A., Hallam, T. (Eds.), Mathematical Ecology, Springer Verlag, Berlin, pp. 407–424.

  • Levin, S.A., Segel, L.A., 1985. Pattern generation in space and aspect by interaction and redistribution. SIAM Rev. 27, 45–67.

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  • Perelson, A.S., Segel, L.A., 1985. On a model for the structure of circular mitochondrial genomes in higher plants. IMA J. Math. Appl. Med. Biol. 2, 41–56.

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  • Segel, L.A., Goldbeter, A., Devreotes, P.N., Knox, B.E., 1985. A model for sensory response and exact adaptation mediated by receptor modification. In: Eisenbach, M., Balaban, M. (Eds.), Sensory Response in Microorganisms, Elsevier Publishers B.V., Amsterdam, pp. 175–83.

  • Grinfeld, M., Segel, L.A., 1986. Implementation and extension of MacWilliams model for pre-stalk pre-spore regulation in cellular slime mold. J. Theor. Biol. 121, 23–44.

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  • Knox, B.E., Devreotes, P., Goldbeter, A., Segel, L.A., 1986. A molecular mechanism for sensory adaptation based on ligand-induced receptor modification. Proc. Nat. Acad. Sci. (USA), 83, 2345–2349.

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  • Lustig, C., Parnas, H., Segel, L.A., 1986. On the quantal hypothesis of neurotransmitter release: An explanation for the calcium dependence of the binomial parameters. J. Theor. Biol. 120, 205–13.

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  • Parnas, H., Parnas, I., Segel, L.A., 1986. A new method for determining cooperativity in neurotransmitter release. J. Theor. Biol. 119, 481–99.

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  • Segel, L.A., 1986. Some stability problems in theoretical biology. In: Drew, D., Flaherty, J. (Eds.), Mathematics Applied to Fluid Mechanics and Stability, Philadelphia: Society of Industrial Applied Mathematics, pp. 110–121.

  • Segel, L.A., Goldbeter, A., Devreotes, P., Knox, B.E., 1986. A mechanism for exact adaptation based on receptor modification. J. Theor. Biol. 120, 151–79.

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  • Williams, K.L., Vardy, P.H., Segel, L.A., 1986. Cell migration during mophogenesis: Some clues from the slug of Dictyostelium discoideum. BioEssays 5, 148–52.

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  • Brendel, V., Segel, L.A., 1987. On modes of recombination, replication, and segregation of the higher plant mitochondrial genome. J. Theor. Biol. 125, 163–176.

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  • Segel, L.A., 1987. On some applications of differential equations in biology. In: Sleeman, B.D., Jarvis, R.J. (Eds.), Proceedings of Ninth Dundee Conference 1986 on Ordinary and Partial Differential Equations, Pitman Research Notes in Mathematics Series. Harlow: Longman Scientific and Technical Publishers 157, pp. 194–204.

  • Segel, L.A., 1987. Toward molecular sensory physiology: Mathematical models. In: Teramoto, E., Yamaguti, M. (Eds.), Mathematical Topics in Population Biology, Morphogenesis and Neurosciences, Springer-Verlag, Berlin, pp. 313–21.

  • Barchilon, M., Segel, L.A., 1988. Adaptation, oscillations and relay in a model for cAMP secretion in cellular slime molds. J. Theor. Biol. 133, 437–446.

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  • Parnas, H., Segel, L.A., 1988. Facilitation as a tool to study the entry of calcium and the mechanism of neurotransmitter release. Prog. Neurobiol. 32, 1–9.

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  • Segel, L.A., Perelson, A.S., 1988. Computations in shape space: A new approach to immune network theory. In: Perelson, A. (Ed.), Theoretical Immunology Part Two, SFI Studies in the Sciences of Complexity, Addison-Wesley Publishing Company, pp. 321–343.

  • Segel, L.A., 1988. Dynamic phenomena in molecular and cellular biology. In: Markus, M., Mueller, S., Nicolis, G. (Eds.), From Chemical to Biological Organization. Springer Verlag, Berlin, pp. 211–215.

  • Segel, L.A., 1988. On the validity of the steady state assumption of enzyme kinetics. Bull. Math. Biol. 50, 579–93.

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  • Segel, L.A., 1988. Some nonstandard modelling techniques in theoretical biology. Math. Biosci. 90, 201–210. Also in Perelson, A.S., Goldstein, B., Dembo, M., Jacquez, J.A. (Eds.), Nonlinearity in Biology and Medicine, Elsevier/North Holland, N.Y., pp. 201–210.

  • Segel, L.A., 1988. Theoretical biology as a branch of applied mathematics: Some examples. In: Proceedings of a Symposium to honor. Lin, C.C., Benney, D.J., Shu, F.H., Yuan, C. (Eds.), Applied Mathematics, Fluid Mechanics, Astrophysics, World Scientific Publishing Co., Singapore, pp. 15–28.

  • Lustig, C., Parnas, H., Segel, L.A., 1989. Neurotransmitter release: Development of a theory for total release based on kinetics. J. Theor. Biol. 136, 151–170.

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  • Segel, L.A., Perelson, A., 1989. Shape space: An approach to the evaluation of cross-reactivity effects, stability, and controlability in the immune system. Immunology Lett. 22, 91–100.

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  • Segel, L.A., Perelson, A.S., 1989. Some reflections on memory in shape space. In: Atlan, H., Cohen, I.R. (Eds.), Theories of Immune Networks, Springer-Verlag, Berlin, pp. 63–70.

  • Segel, L.A., Slemrod, M., 1989. The quasi-steady state assumption: A case study in perturbation. SIAM Rev. 31, 446–477.

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  • Segel, L.A., Perelson, A.S., 1989. Shape space analysis of immune networks. In: Goldbeter, A. (Ed.), Cell to Cell Signalling: From Experiments to Theoretical Models, Academic Press, New York, pp. 273–283.

  • Gressel, J., Segel, L.A., 1990. Herbicide rotations and mixtures: Effective strategies to delay resistance. In: Green, M.B., LeBaron, H.M., Moberg, W.K. (Eds.), Managing Resistance to Agrochemicals: From Fundamental Research to Practical Strategies, ACM Symposium Series, American Chem. Society, Washington, D.C., pp. 430–458.

  • Gressel, J., Segel, L.A., 1990. Modelling the effectiveness of herbicide rotations and mixtures as strategies to delay or preclude resistance. Weed Technol. 4, 186–198.

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  • Gressel, J., Segel, L.A., 1990. Negative cross-resistance; a possible key to atrazine resistance management: A call for whole plant data. Zeitschrift Naturforschungen 45c, 470–473.

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  • Levin, S., Segel, L.A., Adler, F., 1990. Diffuse coevolution in plant-herbivore communities. Theor. Popul. Biol. 37(1), 171–191.

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  • Lustig, C., Parnas, H., Segel, L.A., 1990. Release kinetics as a tool to describe drug effects. J. Theor. Biol. 144, 225–248.

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  • Parnas, H., Parnas, I., Segel, L.A., 1990. On the contribution of mathematical models to the understanding of neurotransmitter release. International Review of Neurobiology 32, 1–50. Smythies, J.R., Bradley, R.J. (Eds.), Academic Press, Orlando.

  • Segel, L.A., Perelson, A.S., 1990. A paradoxical instability caused by relatively short range inhibition. SIAM J. Appl. Math. 50(1), 91–107.

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  • Av-Ron, E., Parnas, H., Segel, L., 1991. A minimal biophysical model for an excitable and oscillatory neuron. Biol. Cybern. 65, 487–500.

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  • Segel, L.A., Perelson, A.S., 1991. Exploiting the diversity of time scales in the immune system: A B-cell antibody model. J. Stat. Phy. 63, 1113–1131.

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  • Segel, L.A., 1991. The infinite and the infinitesimal in models for natural phenomena. Rev. Mod. Phys. 63, 225–238.

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  • Segel, L.A., Parnas, H., 1991. What controls the exocytosis of neurotransmitter? In: Leibler, S., Peliti, L. (Eds.), Biologically Inspired Physics. Plenum Publishing Company, NY, pp. 347–362.

  • Aflalo, C., Segel, L.A., 1992. Local probes and heterogeneous catalysis: A case study of a mitochondria-luciferase-hexokinase coupled system. J. Theor. Biol. 158, 67–108.

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  • Betz, H., Douglas, R.J., Egelhaaf, M., Jack, J., Koch, C., Korn, H., Marder, E., Parnas, H., Segel, L.A., Traub, R.D., Vetter, T., 1992. Molecular and biophysical mechanisms of information processing. In: Galzer, D., Poggio, T. (Eds.), Exploring Brain Functions: Models in Neuroscience. Dahlem Workshop, Life Science Research Report, John Wiley & Sons, New York, pp. 59–75.

  • de Boer, R.J., Segel, L.A., Perelson, A.S., 1992. Pattern formation in one and two dimensional shape space models of the immune system. J. Theor. Biol. 155, 295–333.

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  • Jäger, E., Segel, L., 1992. On the distribution of dominance in a population of interacting anonymous organisms. SIAM J. Appl. Math. 52, 1442–1468.

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  • Segel, L.A., 1992. Deriving and analyzing nonlinear equations in theoretical biology. In: Xiao, S., Hu, X.-C. (Eds.), International Symposium on Nonlinear Problems in Engineering and Science—Numerical and Analytical Approach. Science Press, Beijing, China, pp. 121–128.

  • Segel, L.A., Perelson, A.S., 1992. Plasmid copy number control: A case study of the quasi-steady state assumption. J. Theor. Biol. 158, 481–494.

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  • Segel, L.A., Perelson, A.S., Hyman, J.M., Klaus, S.N., 1992. Rash theory. In: Perelson, A.S., Weisbuch, G. (Eds.), Theoretical and Experimental Insights into Immunology, NATO ASI Series, Springer-Verlag, Berlin, pp. 333–352.

  • Av-Ron, E., Parnas, H., Segel, L., 1993. A basic biophysical model for bursting neurons. Biol. Cybern. 69(1), 87–95.

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  • Av-Ron, E., Parnas, H., Segel, L.A., 1993. Modeling bursting neurons of the lobster cardiac network. In: Deneubourg, J.L., Goss, S., Nicolis, G., Dagonnier, R. (Eds.), Proceedings of the Second European Conference on Artificial Life. ULB, Bruxelles.

  • Duvdevani-Bar, S., Lavie, V., Segel, L., Schwartz, M., 1993. A new method for expressing axonal size: Rat optic nerve analysis. J. Electron Microsc. 42, 412–414.

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  • de Boer, R.J., Neumann, A.U., Perelson, A.S., Segel, L.A., Weisbuch, G., 1993. Recent approaches to immune networks. In: Demongeot, A., Capasso, V. (Eds.), Proceedings of First European Biomathematics Conference, Mathematics Applied to Biology and Medicine, Wuerz Publishing, Ltd., Winnepeg, Canada.

  • Futerman, A.H., Khanin, R., Segel, L.A., 1993. Lipid diffusion in neurons. Nature 362, 119.

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  • Av-Ron, E., Parnas, H., Segel, L.A., 1994. Modeling the bursting interneurons of the lobster cardiac ganglion. In: Bower, J.M. (Ed.), The Neurobiology of Computation, Kluwer Academic Publishers, Norwell, MA, pp. 47–52.

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  • Khanin, R., Parnas, H., Segel, L., 1994. Diffusion cannot govern the discharge of neurotransmitter in fast synapses. Biophys. J. 67, 966–972.

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  • Mehr, R., Segel, L., Sharp, A., Globerson, A., 1994. Colonization of the thymus by T cell progenitors: Models for cell-cell interactions. J. Theor. Biol., 170, 247–257.

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  • Segel, L.A., 1994. Toward artificial competence. In: Levin, S. (Ed.), Frontiers in Mathematical Biology. Springer Verlag, pp. 117–121.

  • Segel, L., Goldbeter, A., 1994. Scaling in biochemical kinetics: Dissection of a relaxation oscillator. J. Math. Biol. 32, 147–160.

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  • Segel, L.A., Jaeger, E., 1994. Reverse engineering a model for T cell vaccination. Bull. Math. Biol. 56, 687–722.

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  • Mehr, R., Fridkis-Hareli, M., Abel, L., Segel, L., Globerson, A., 1995. Lymphocyte development in irradiated thymuses: Dynamics of colonization by progenitor cells and regeneration of resident cells. J. Theor. Biol. 77, 181–192.

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  • Segel, L., 1995. A personal sample of patterns in biology. In: Doelman, A., van Harten, A. (Eds.), Nonlinear Dynamics and Pattern Formation in the Natural Environment. Longmans.

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  • Sivan, E., Segel, L.A., Parnas, H., 1995. Modulated excitability: A new way to obtain bursting neurons. Biol. Cybern. 72, 455–461.

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  • Borghans, J.A.M., De Boer, R.J., Segel, L.A., 1996. Extending the quasi-steady state approximation by changing variables. Bull. Math. Biol. 58, 43–64.

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  • Fishman, M., Segel, L., 1996. Modelling immunotherapy for allergy Bull. Math. Biol. 58, 1099–1122.

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  • Gressel, J., Segel, L., Ransom, J.K., 1996. Managing the delay of evolution herbicide resistance in parasitic weeds. Int. J. Pest Manag. 42, 113–129.

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  • Khanin, R., Segel, L., Parnas, H., Ratner, E., 1996. Neurotransmitter discharge and postsynaptic rise times. Biophys. J. 70, 2030–2032.

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  • Segel, L.A., 1996. Neurotransmitter release: A case study in theoretical biology. Nova Journal of Mathematics, Game Theory and Algebra 5(1), 89–101. Also in: Applied Mathematics: Methods and Applications, Oyibo, G. (Ed.), Nova Science Publishers.

  • Segel, L., Eisenbach, M., 1996. A seat of affection resides in the bowel. Ann. Improbable Res. 2, 17.

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  • Khanin, R., Parnas, H., Segel, L.A., 1997. “First step” negative feedback accounts for inhibition of neurotransmitter release. J. Theor. Biol., 188, 261–276.

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  • Khanin, R., Parnas, H., Segel, L., 1997. A mechanism for discharge of charged excitatory neurotransmitter. Biophys. J. 72, 507–21.

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  • Segel, L.A., 1997. Forays into theoretical immunology. Curr. Sci. 73, 929–932.

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  • Segel, L.A., 1997. The immune system as a prototype of autonomous decentralized systems, in Proceedings of special session on Artificial Immune Systems and Their Applications, IEEE International Conference on Systems, Man, and Cybernetics, Orlando, FL, 5, pp. 375–385.

  • Bonner, J.T., Segel, L., Cox, E.C., 1998. Oxygen and differentiation in Dictyostelium discoideum. J. Biosci. 23, 177–184.

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  • Khanin, R., Segel, L., Futerman, A.H., 1998. The diffusion of membrane molecules in axons: The sites of insertion of new membrane molecules and their distribution along the axon surface. J. Theor. Biol. 193, 371–382.

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  • Lev Bar-Or, R., Segel, L.A., 1998. On the role of a possible dialog between cytokine and TCR-presentation mechanisms in the regulation of autoimmune disease. J. Theor. Biol. 190, 161–178.

  • Mehr, R., Perelson, A.S., Sharp, A., Segel, L., Globerson, A., 1998. MHC-linked syngeneic developmental preference (SDP) in thymic lobes colonized with bone marrow cells—a mathematical model. Dev. Immunol. 5, 303–318.

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  • Segel, L.A., 1998. Multiple attractors in immunology; theory and experiment. Biophys. Chem. 72, 223–230.

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  • Segel, L.A., Lev Bar-Or, R., 1999. On the role of feedback in promoting conflicting goals of the adaptive immune system. J. Immunol. 163, 1342–1349.

  • Yusim, K., Parnas, H., Segel, L.A., 1999. Theory of fast neurotransmitter release control based on voltage-dependent interaction between autoreceptors and proteins of the exocytotic machinery. Bull. Math. Biol. 61, 701–725.

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  • Bergmann, C., van Hemmen, J.L., Segel, L.A., 2000. Th1 or Th2: How an appropriate T helper response can be made Bull. Math. Biol. 63, 405–430.

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  • Lev Bar-Or, R., Maya, R., Segel, L.A., Alon, U., Levine, A.J., Oren, M., 2000. Generation of oscillations by the p53-Mdm2 feedback loop: A theoretical and experimental study. Proc. Natl. Acad. Sci. USA, 97, pp. 11250–11255.

  • Parnas, H., Segel, L.A., Dudel, J., Parnas, I., 2000. Autoreceptors, membrane potential and the regulation of transmitter release. Trend Neurosci. 23, 60–68.

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  • Segel, L.A., 2000. Diffuse feedback from diffuse information in complex systems. Complexity 5, 39–46.

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  • Yusim, K., Parnas, H., Segel, L.A., 2000. Theory of the feedback inhibition of fast release of neurotransmitter. Bull. Math. Biol. 62, 717–757.

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  • Segel, L.A., 2001. Computing an organism. Proc. Natl. Acad. Sci. (USA), 98, 3639–3640.

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  • Segel, L.A., 2001. Controlling the immune system: Diffuse feedback via a diffuse informational network, In: Bock, G., Goode, J. (Eds.), Complexity in Biological Information Processing, John Wiley & Sons, Sussex, UK, pp. 31–39.

  • Segel, L.A., 2001. Diffuse Feedback from a Diffuse Informational Network: In: Segel, L.A., Cohen, Y. (Eds.), The Immune System and Other Distributed Autonomous Systems. Oxford University Press, pp. 203–226.

  • Segel, L.A., 2001. How can perception of context improve the immune response In: Steinman (EEd.), Autoimmunity and Emerging Diseases, Jerusalem: The Center for the Study of Emerging Diseases, pp. 169–191.

  • Segel, L.A., 2001. How does the immune system see to it that it is doing a good job. Graft 4(6), 15–18.

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  • Segel, L.A., 2001. How the immune system works: Theoretical thoughts. In: Grigoryan, A., Fokas, A., Kibble, T., Zegarlinski, B. (Eds.), XIIIth International Congress on Mathematical Physics. International Press of Boston, Somerville, MA, pp. 165–172.

  • Yusim, K., Parnas, H., Segel, L.A., 2001. The one-vesicle hypothesis for neurotransmitter release: A possible molecular mechanism Bull. Math. Biol. 63, 1025–1040.

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  • Bergmann, C., van Hemmen, J.L., Segel, L.A., 2002. How instruction and feedback can select the appropriate T helper response. Bull. Math. Biol. 425–446.

  • Parnas, H., Valle-Lisboa, J.-C., Segel, L.A., 2002. Can the Ca-hypothesis and the Ca-voltage hypothesis for neurotransmitter release be reconciled. Proc. Natl. Acad. Sci. (USA) 99, 17149–54.

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  • Segel, L.A., 2002. Some spatio-temporal models in immunology. Int. J. Bifurcation and Chaos 12, 2343–2347.

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  • Shochat, E., Stemmer, S., Segel, L.A., 2002. Human haematopoiesis in steady state and following intense perturbations. Bull. Math. Biol. 64, 861–886.

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  • Kliman, H.J., Segel, L., 2003. The placenta may predict the baby. J. Theor. Biol. 225, 143–145.

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  • Safro, I., Segel, L.A., 2003. Collective versions of playable games as metaphors for complex biosystems: Team connect four. Complexity 8, 46–55.

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  • Warrender, C., Forrest, S., Segel, L., 2004. Homeostasis of peripheral immune effectors. Bull. Math. Biol. 66, 1493–514.

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  • Kooijman, S.A.L.M., Segel, L.A., 2005. How growth affects the fate of cellular metabolites. Bull. Math. Biol. 67, 57–77.

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  • Sela, R., Segel, L.A., Parnas, I., Parnas, H., 2005. Depolarization ceases to control neurotransmitter release after Ca2+ uncaging: Prediction of the Ca2+-voltage hypothesis. J. Comput. Neurosci. 19, 5–20.

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Books by L. A. Segel

  • Lin, C.C., Segel, L.A. (with material on elasticity by G.H. Handelman), 1974. Mathematics Applied to Deterministic Problems in the Natural Sciences. Macmillan Publishing Co., Inc., New York, 604 pp. Reprinted (1988), with corrections and a few additions, by SIAM (Society for Industrial and Applied Mathematics, Philadelphia, PA) as No. 1 in series “Classics in Applied Mathematics.” Translated into Chinese (1986).

  • Segel, L.A. (with chapters by G.H. Handelman), 1977. Mathematics Applied to Continuum Mechanics. Macmillan Publishing Co., Inc., New York, 590 pp. Reprinted by Dover Publications, 1987.

  • Segel, L.A. (editor and contributor), 1980. Mathematical Models in Molecular and Cellular Biology. Cambridge University Press, Cambridge, 757 pp.

  • Segel, L.A., 1984. Modelling Dynamic Phenomena in Molecular and Cellular Biology. Cambridge University Press, Cambridge, 300 pp.

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  • Odell, G.M., Segel, L.A., 1987. Biograph: A Graphical Simulation Package with Exercises. To accompany Lee A. Segel’s “Modelling Dynamic Phenomena in Molecular and Cellular Biology.” Cambridge University Press, 243 pp.

  • Segel, L.A., 1991. (editor and contributor): Biological Kinetics. Cambridge University Press, 220 pp. [Revised version of part of B3.]

  • Segel, L.A., Cohen, Y. (Eds.), 2001. Design Principles for the Immune System and Other Distributed Autonomous Systems. Oxford University Press, New York.

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Leah Keshet

Alan Perelson

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Leah Keshet., Alan Perelson. Bulletin of Mathematical Biology Special Issue. Bull. Math. Biol. 68, 969–980 (2006). https://doi.org/10.1007/s11538-006-9134-4

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