From population dynamics to modelling the competition between tumors and immune system

[1]  Luisa Arlotti,et al.  Qualitative analysis of a nonlinear integrodifferential equation modeling tumor-host dynamics , 1996 .

[2]  Luca Ridolfi,et al.  Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods , 1995 .

[3]  Luigi Preziosi,et al.  Modelling Mathematical Methods and Scientific Computation , 1995 .

[4]  Nicola Bellomo,et al.  Dynamics of tumor interaction with the host immune system , 1994 .

[5]  P K Maini,et al.  Nonlinear diffusion of a growth inhibitory factor in multicell spheroids. , 1994, Mathematical biosciences.

[6]  J. Chattopadhyay,et al.  A MATHEMATICAL MODEL OF TUMOR GROWTH WITH SPATIALLY DECREASING DIFFUSION COEFFICIENT OF MITOTIC INHIBITOR , 1994 .

[7]  A. Perelson,et al.  Nonlinear dynamics of immunogenic tumors: parameter estimation and global bifurcation analysis. , 1994, Bulletin of mathematical biology.

[8]  G. Forni,et al.  Protective and curative potential of vaccination with interleukin-2-gene-transfected cells from a spontaneous mouse mammary adenocarcinoma. , 1993, Cancer research.

[9]  K. P. Hadeler,et al.  Pair formation models with maturation period , 1993 .

[10]  S. Maggelakis.  Type α and type β transforming growth factors as regulators of cancer cellular growth: a mathematical model , 1993 .

[11]  S. Markovitch.  The particular role of cell loss in tumor growth , 1993 .

[12]  G. Nossal.  Life, death and the immune system. , 1993, Scientific American.

[13]  Alain Pavé,et al.  INTERPRETATION OF POPULATION DYNAMICS MODELS BY USING SCHEMATIC REPRESENTATIONS , 1993 .

[14]  F. Stenger.  Numerical Methods Based on Sinc and Analytic Functions , 1993 .

[15]  Miljenko Marušić,et al.  PREDICTION POWER OF MATHEMATICAL MODELS FOR TUMOR GROWTH , 1993 .

[16]  Odo Diekmann,et al.  Perturbing semigroups by solving Stieltjes renewal equations , 1993, Differential and Integral Equations.

[17]  G. Forni,et al.  Role of neutrophils and CD4+ T lymphocytes in the primary and memory response to nonimmunogenic murine mammary adenocarcinoma made immunogenic by IL-2 gene. , 1992, Journal of immunology.

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

[19]  J Urbain,et al.  On the kinetics and optimal specificity of cytotoxic reactions mediated by T-lymphocyte clones , 1992, Bulletin of mathematical biology.

[20]  Amnon Pazy,et al.  Semigroups of Linear Operators and Applications to Partial Differential Equations , 1992, Applied Mathematical Sciences.

[21]  P. Chomez,et al.  A gene encoding an antigen recognized by cytolytic T lymphocytes on a human melanoma. , 1991, Science.

[22]  Z Bajzer,et al.  Modeling autostimulation of growth in multicellular tumor spheroids. , 1991, International journal of bio-medical computing.

[23]  A. Abbas,et al.  Cellular and Molecular Immunology , 1991 .

[24]  J. Adam.  On complementary levels of description in applied mathematics II. Mathematical models in cancer biology , 1988 .

[25]  G. Forni,et al.  Interleukin 2 activated tumor inhibition in vivo depends on the systemic involvement of host immunoreactivity. , 1987, Journal of immunology.

[26]  P Hogeweg,et al.  Tumor escape from immune elimination: simplified precursor bound cytotoxicity models. , 1985, Journal of theoretical biology.

[27]  A. Perelson,et al.  Kinetics of cell-mediated cytotoxicity: Stochastic and deterministic multistage models☆ , 1984 .

[28]  Lee A. Segel,et al.  Modeling Dynamic Phenomena in Molecular and Cellular Biology , 1984 .

[29]  James H. King,et al.  The early growth of cancer , 1984, Advances in Applied Probability.

[30]  L Perelmutter,et al.  IgG4 and the immune system , 1983, Clinical reviews in allergy.

[31]  A. Perelson,et al.  Delivery of lethal hits by cytotoxic T lymphocytes in multicellular conjugates occurs sequentially but at random times. , 1982, Journal of immunology.

[32]  Michael C. Mackey,et al.  The dynamics of production and destruction: Analytic insight into complex behavior , 1982 .

[33]  P. Comoglio,et al.  Induction of resistance or enhancement to a transplantable murine plasmacytoma by transfer of non-immune leucocytes. , 1976, British Journal of Cancer.

[34]  Luigi Preziosi,et al.  Tumor Immune System Interactions: The Kinetic Cellular Theory , 1996 .

[35]  Nicola Bellomo,et al.  Population dynamics with stochastic interaction , 1995 .

[36]  J. Adam,et al.  Equilibrium model of a vascularized spherical carcinoma with central necrosis — Some properties of the solution , 1993, Journal of mathematical biology.

[37]  C. DeWitt-Morette,et al.  Mathematical Analysis and Numerical Methods for Science and Technology , 1990 .

[38]  M. Abundo,et al.  Numerical simulation of a stochastic model for cancerous cells submitted to chemotherapy , 1989, Journal of mathematical biology.

[39]  K. Hadeler.  Pair formation in age-structured populations. , 1989, Acta applicandae mathematicae.

[40]  Nicola Bellomo,et al.  Mathematical Topics In Nonlinear Kinetic Theory , 1988 .

[41]  Stanley N Cohen,et al.  Mechanisms of tumor immunity , 1977 .

[42]  Robert H. Martin,et al.  Nonlinear operators and differential equations in Banach spaces , 1976 .

[43]  Frank Hoppenstaedt.  Mathematical Theories of Populations: Demographics, Genetics and Epidemics , 1975 .