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pro vyhledávání: '"John A. Jacquez"'
Autor:
John A. Jacquez
Publikováno v:
Mathematical Biosciences. 180:127-139
A significant consideration in modeling systems with stages is to obtain models for the individual stages that have probability density functions (pdfs) of residence times that are close to those of the real system. Consequently, the theory of reside
Autor:
John A. Jacquez
Publikováno v:
A Probability and Statistics Companion
In this article the author reviews and presents the theory involved in the design of experiments for parameter estimation, a process of importance for pharmacokinetics, the study of intermediary metabolism and other sections of biological research. T
Autor:
Andrew L. Adams, Betsy Foxman, Kenneth Lange, Carl P. Simon, John A. Jacquez, James S. Koopman, Daniel C. Barth-Jones, Gavin W. Welch, Stephen M. Pollock
Publikováno v:
Journal of Acquired Immune Deficiency Syndromes and Human Retrovirology. 14:249-258
The combination of two factors gives early HIV infection an especially strong influence on transmission dynamics: (a) increased transmission probabilities and (b) increased transmission potential of partners infected during this period. Most attentio
Autor:
Tom C. Krejcie, Thomas K. Henthorn, Claus U. Niemann, John A. Jacquez, Colin A. Shanks, Michael J. Avram
Publikováno v:
Journal of Pharmacokinetics and Biopharmaceutics. 24:569-588
The gamma and Erlang density functions describe a large class of lagged, right-skewed distributions. The Erlang distribution has been shown to be the analytic solution for a chain of compartments with identical rate constants. This relationship makes
Autor:
John A. Jacquez
Publikováno v:
Journal of Pharmacokinetics and Biopharmaceutics. 24:301-305
In pooled data methods such as naive pooled data methods and NONMEM, the number of sample points per individual may be less than the number of unknown parameters so that the values of the parameters are not estimable in individuals. However, for the
Autor:
Carl P. Simon, John A. Jacquez
Publikováno v:
Mathematical Biosciences. 117:77-125
We compare the stochastic and deterministic versions of an SI model with recruitment, background deaths, and deaths due to the disease. For the stochastic version, analysis of the mean number of susceptibles, mx, and infecteds, m(y), and of the means
Autor:
Carl P. Simon, John A. Jacquez
Publikováno v:
SIAM Review. 35:43-79
Dynamic models of many processes in the biological and physical sciences which depend on local mass balance conditions give rise to systems of ordinary differential equations, many nonlinear, that are called compartmental systems. In this paper, the
Autor:
Carl P. Simon, John A. Jacquez
Publikováno v:
SIAM Journal on Applied Mathematics. 52:541-576
A major project in deterministic epidemiological modeling of heterogeneous populations is to find conditions for the local and global stability of the equilibria and to work out the relations among these stability conditions, the thresholds for epide
Publikováno v:
American Journal of Physical Anthropology. 82:421-429
A model for the spread of human immunodeficiency virus (HIV) in a population of male homosexuals is presented. The population is divided into five groups on the basis of degree of sexual activity. Within each group, the individuals are classified as
Autor:
Geoffrey M. Jacquez, John A. Jacquez
Publikováno v:
Mathematical biosciences. 180
In the presentation of his randomization test for paired data, Fisher used Darwin's data on the relative growth rates of cross- and self-fertilized corn to motivate the development. On reading Darwin's description of his experiment, it appears clear