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abstract::The search for systematic methods to deal with the integrated behavior of complex biochemical systems has over the past two decades led to the proposal of several theories of biochemical systems. Among the most promising is biochemical systems theory (BST). Recent comparisons of this theory with several others that ha...
journal_title:Mathematical biosciences
pub_type: 杂志文章,评审
doi:10.1016/0025-5564(89)90066-7
更新日期:1989-06-01 00:00:00
abstract::Through use of the local state isomorphism theorem instead of the algebraic equivalence theorem of linear systems theory, the similarity transformation approach is extended to nonlinear models, resulting in finitely verifiable sufficient and necessary conditions for global and local identifiability. The approach requi...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(89)90024-2
更新日期:1989-04-01 00:00:00
abstract::In linear, stochastic dynamics it is shown that the quasideterministic population size is equivalent to the mean population size. The quasideterministic dynamics are defined by the conditional infinitesimal mean of the process. The stochastic component of the dynamics includes both Gaussian and Poisson white noise, wi...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(89)90010-2
更新日期:1989-03-01 00:00:00
abstract::A mathematical model is formulated for diffusive countercurrent exchange of oxygen between paired arterioles and venules. A closed form solution of the problem is obtained by linearizing the nonlinear oxyhemoglobin dissociation curve at the inlet PO2 in the vessel. The closed form solution is compared with the corresp...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(88)90022-3
更新日期:1988-09-01 00:00:00
abstract::Calculations of the oxygen distribution in resting and contracting skeletal muscle are presented, based on a mathematical model and experimental data obtained on the hamster cremaster muscle [Klitzman et al., Microvasc. Res. 25:108-131 (1983)]. The model considers a slab of tissue penetrated by a regular square array ...
journal_title:Mathematical biosciences
pub_type: 杂志文章
doi:10.1016/0025-5564(86)90164-1
更新日期:1986-09-01 00:00:00