Mac Hyman's Selected Papers

Mathematical Biology:

Research Summary

Mixing Patterns Between Age Groups Using Social Networks, with S. Del Valle, S. Eubank, and H. Hethcote. (2007)   to appearin Social Networks.

Mathematical applications associated with the deliberate release of infectious agents   G. Chowell, A. Cintron-Arias, S. Del Valle, F. Sanchez, B. Song, J. M. Hyman, H. W. Hethcote, and C. Castillo-Chavez; to appear in Modeling The Dynamics of Human Diseases: Emerging Paradigms and Challenges. AMS Cotemporary Mathematics Series (to appear) Gumel A. (Chief Editor), Castillo-Chavez, C., Clemence, D.P. and R.E. Mickens

Estimation of the Reproductive number of the Spanish Flu Epidemic in Geneva, Switzerland)   G. Chowell, C. E. Ammon, N. W. Hengartner, J. M. Hyman; . Proceedings of the Second European Influenza Conference (St-Julians, Malta, September, 2006)

Transmission dynamics of the great influenza pandemic of 1918 in Geneva, Switzerland: Assessing the effects of hypothetical interventions.   G. Chowell, C. E. Ammon, N. W. Hengartner, J. M. Hyman; J. Theor. Biol. 241(2), 193-204 (2006)

Human-mediated foot-and-mouth disease epidemic dispersal: disease and vector clusters   A. L. Rivas, B. Kunsberg, G. Chowell, S. D. Smith, J. M. Hyman, S. J. Schwager; J. Vet. Med. B 53, 1-10 (2006)

Critical response to post-outbreak vaccination against foot-and-mouth disease   Gumel A. (Chief Editor), Castillo-Chavez, C., Clemence, D.P. and R.E. Mickens; G. Chowell, A. L. Rivas, N. W. Hengartner, J. M. Hyman, C. Castillo-Chavez; to appear in Modeling The Dynamics of Human Diseases: Emerging Paradigms and Challenges. AMS Cotemporary Mathematics Series, (2006)

The Role of Spatial Mixing in the Spread of Foot-and-Mouth Disease   G. Chowell, A. L. Rivas, N. W. Hengartner, J. M. Hyman, C. Castillo-Chavez; Prev. Vet. Med. 73, 297-314 (2006)

Modeling the transmission dynamics of Acute Hemorrhagic Conjunctivitis: Application to the 2003 Outbreak in Mexico   G. Chowell, E. Shim, F. Brauer, P. Diaz-Duenas, J. M. Hyman, C. Castillo-Chavez; Stat. Med. 25(11), 1840-1857 (2006)

Identification of case clusters and counties of greater infective connectivity in the 2001 Uruguayan foot-and-mouth disease epidemic   G. Chowell, A. L. Rivas, S.D. Smith, J. M. Hyman; Am. J. Vet. Res. 67(1), 1-12 (2006)

Predicting scorpion sting incidence in an endemic region using climatological variables   G. Chowell, J. M. Hyman, P. Diaz-Duenas, N. W. Hengartner; Int. J. Env. Health Res. 15(6), 425-435 (2005)

The Basic Reproductive Number of Ebola and the Effects of Public Health Measures: The cases of Congo and Uganda   G. Chowell, N. W. Hengartner, C. Castillo-Chavez, P. W. Fenimore, and J. M. Hyman; J. Theor. Biol. 229(1), 119-126 (2004)

Model Parameters and Outbreak Control for SARS   G. Chowell , C. Castillo-Chavez, P.W. Fenimore, C. Kribs-Zaleta, L. Arriola, J.M. Hyman; Emerg. Inf. Dis. 10 (7) (2004) , Supplementary materials

Scaling Laws for the Movement of People between Locations in a Large City   G. Chowell, J. M. Hyman, S. Eubank, C. Castillo-Chavez; Phys. Rev. E 68, 066102 (2003)

Differential susceptibility epidemic models,   James M. Hyman and Jia Li, J. Math. Biol. 50, 626-644 (2005)

Differential susceptibility and infectivity epidemic models,   James M. Hyman and Jia Li; Math Biosciences and Eng, v.3, no.1, p.89-100 (2006)

The reproductive number for an HIV model with differential infectivity and staged progression,   James M. Hyman and Jia Li, Linear Algebra and Its Applications; Mar 15 2005; v.398, no.1-3, p.101-116

An epidemic model for Acute Hemorrhagic Conjunctivitis: Application to a 2003 outbreak in Mexico,   G. Chowell , E. Shim, F. Brauer P. Diaz-Duenas, J. M. Hyman, C. Castillo-Chavez, Los Alamos Report LA-UR-04-7961(2005)

Effects of Behavioral Changes in a Smallpox Attack,   S. Del Valle, H. Hethcote, J. M. Hyman, and C. Castillo-Chavez; Mathematical Biosciences; v.195, no.2, p.228-251 (2005)

The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda,   G. Chowell, N.W. Hengartner, C. Castillo-Chavez, P.W Fenimore, J. M. Hyman, Journal of Theoretical Biology; July 7, 2004; v.229, no.1, p.119-126

An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells,   P.W. Nelson, M.A. Gilchrist, D. Coombs, J.M. Hyman, A. Perelson; Math. Biosci. Eng. 1: 267-288 (2004) preprint (2003)

Epidemiological Models for Mutating Pathogens,   Jia Li, Yican Zhou, Zhien Ma, and James M. Hyman, SIAM J. APPL. MATH., vol. 65, no. 1, pp. 1-23 (2004)

The Reproductive Number for an HIV Model with Differential Infectivity and Staged Progression   J.M. Hyman, J. Li, (2004) Preprint (2003)

Modeling the impact of random screening and contact tracing in reducing the spread of HIV,   James M. Hyman, Jia Li, and E. Ann Stanley, Math. Biosciences, 181, (2003) 17-54

Modeling the Spread of Influenza Among Cities,   James M. Hyman and Tara Laforce, Los Alamos Report LA-UR-03-2900 (2003), (ps file) To appear in "Biomathematical Modeling Applications for Homeland Security", T. Banks and C. Castillo-Chavez Eds., SIAM (2003) This paper is a revision of Multicity SIR Epidemic Model (2001) and research reported in the 2000 Summer School Presentations

Scaling laws for the movement of people between locations in a large city,   G. Chowell, J. M. Hyman, S. Eubank, and C. Castill-Chavez, Los Alamos Report LA-UR-02-6658 (2003) (ps file)

The Impact of Random Screening and Contact Tracing in Reducing the Spread of AIDS,   James M. Hyman, Jia Li, and E. Ann Stanley, Los Alamos Report LA-UR-99-5351 (1999) Rev. 1 (11/00) (ps file)

The Initialization and Sensitivity of Multigroup Models for the Transmission of HIV,   James M. Hyman, Jia Li, and E. Ann Stanley, J. Theor. Bio. (2001), Vol. 208, 227-249, Los Alamos Report LA-UR-00-4815 (2000) (ps file)

Impacts of Misspecifying the Evolutionary Model in Phylogenic Tree Estimation,   Tom Burr, James M. Hyman, Gerry Myers and Alexei Shourikhine, to appear in Mathematics and Engineering Techniques in Medicine and Biological Sciences (2000), Los Alamos Report LA-UR-00 (ps file)

The Origin of Acquired Immune Deficiency Syndrome: Darwinian or Lamarckian?   Tom Burr, James M. Hyman, and Gerry Myers, Phil. Trans. R. Soc. Lond., B, (2001) 356, 877-887

Sensitivity Studies of the Differential Infectivity and Staged Progression Models for the Transmission of HIV,   James M. Hyman, Jia Li, and E. Ann Stanley, Los Alamos Report LA-UR-99-2253 (1999). This Lab report has been revised and extended in the paper The Initialization and Sensitivity of Multigroup Models for the Transmission of HIV,Los Alamos Report LA-UR-00-4815 (2000) (ps file) J. Theor. Bio. (2001) 208, 227-249.

An Intuitive Formulation for the Reproductive Number for the Spread of Diseases in Heterogeneous Populations,   James M. Hyman and Jia Li, Math. Biosciences, Vol: 167, No. 1, 65-86, (2000), Los Alamos Report (ps)

The Differential Infectivity and Staged Progression Models for the Transmission of HIV,   James M. Hyman, Jia Li, and E. Ann Stanley, Math. Biosciences, Vol: 155, Issue:2, pp. 77-109, (1999), Los Alamos Report (ps)

Modeling the Effectiveness of Isolation Strategies in Preventing STD Epidemics,   James M. Hyman and Jia Li, SIAM Journal of Applied Mathematics, to appear (1998), (pdf) Los Alamos Report (ps)

Behavior Changes in SIS STD Models with Selective Mixing,   James M. Hyman and Jia Li, SIAM Journal of Applied Mathematics, 57 (1997) 1082-1094, (pdf) Los Alamos Report (ps)

Disease Transmission Models with Biased Partnership Selection,   James M. Hyman and Jia Li, Applied Numerical Mathematics, 24 (1997) 379-392, (pdf)

Biased Preference Models for Partnership Formation,   J. M. Hyman and J. Li, World Congress of Nonlinear Analysts, pp. 3137-3148, (1996).

A Risk-based Heterosexual Model for the AIDS Epidemic with Biased Sexual Partner Selection,   James M. Hyman and E. Ann Stanley, in Modeling the AIDS Epidemic, E. Kaplan and M. Brandeau, eds. Raven Press (1994) 331-364. (pdf).

Threshold Conditions for the Spread of the HIV Infection in Age-Structured Populations of Homosexual Men,   J. M. Hyman, J. Li, and E. A. Stanley, J. Theo. Biology, 166 , (1994) 9-31.

AIDS and a Risk-Based Model   S. A. Colgate, E. A. Stanley, J. M. Hyman, C. R. Qualls and S. P. Layne, Los Alamos Science No. 18 (1989) 2-40, Published by Los Alamos National Laboratory

Risk Behavior-Based Model for the Cubic Growth of Acquired Immunodeficiency Syndrome in the United States   S. A. Colgate, E. A. Stanley, J. M. Hyman, S. P. Layne and C. R. Qualls, Proc. Natl. Acad. Sci. USA, 86 (1989) 4793-4797

Modeling the AIDS Epidemic,   S. A. Colgate, J. M. Hyman, E. A. Stanley, Notices of the American Mathematical Society, vol. 36, no. 8, p. 981-983 (1989)

The Effects of Social Mixing Patterns on the Spread of AIDS,   J. M. Hyman, E. A. Stanley, Mathematical Approaches to Problems in Resource Management and Epidemiology,(Ithaca, NY, 1987), 190-219, Lecture notes in Biomath., 81, C. Castillo-Chavez, S. A. Levin, and C. A. Shoemaker (Eds.), Springer, Berlin (1989)

Using Mathematical Models to Understand the AIDS Epidemic,   James M. Hyman and E. Ann Stanley, Math. Biosciences Vol. 90, (1988), (pdf)

Nonlinear Pattern Selection in a Mechanical Model for Morphogenesis, with A. Perelson, P. Maini, J. Murray, and G. Oster, J. Math. Biol. (1986) 24:525-541., (pdf)

On Davydov's alpha-Helix Solitons, with D.W. McLaughlin and A.C. Scott, Long-Time Prediction in Dynamics, edited by C.W. Horton, Jr., et al, John Wiley & Sons (1983), 367-394., (pdf)

Periodic Solutions of a Logistic Difference Equation,   F.C. Hoppensteadt, J.M. Hyman, SIAM J. APPL. MATH., vol. 32, no. 1, pp. 73-81 (1977)



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