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Traveling bands of chemotactic bacteria in the context of population growth
Springer Science and Business Media LLC - Tập 46 - Trang 19-40 - 1984
D. Lauffenburger, C. R. Kennedy, R. Aris
A mathematical model for traveling bands of motile and chemotactic bacteria in the presence of cell growth and death is examined. It is found that asymptotic traveling wave solutions exist in the absence of chemotaxis, due to the balance of growth, death and random motility. Thus random motility confers the ecological advantage of population propagation through migration into nutrient-rich regions...... hiện toàn bộ
Theoretical Assessment of Public Health Impact of Imperfect Prophylactic HIV-1 Vaccines with Therapeutic Benefits
Springer Science and Business Media LLC - Tập 68 - Trang 577-614 - 2006
Elamin H. Elbasha, Abba B. Gumel
This paper presents a number of deterministic models for theoretically assessing the potential impact of an imperfect prophylactic HIV-1 vaccine that has five biological modes of action, namely “take,” “degree,” “duration,” “infectiousness,” and “progression,” and can lead to increased risky behavior. The models, which are of the form of systems of nonlinear differential equations, are constructed...... hiện toàn bộ
Intermediates and Generic Convergence to Equilibria
Springer Science and Business Media LLC - Tập 79 - Trang 1662-1686 - 2017
Michael Marcondes de Freitas, Carsten Wiuf, Elisenda Feliu
Known graphical conditions for the generic and global convergence to equilibria of the dynamical system arising from a reaction network are shown to be invariant under the so-called successive removal of intermediates, a systematic procedure to simplify the network, making the graphical conditions considerably easier to check.
Use of the circuit simulation program SPICE2 for analysis of the metabolism of anticancer drugs
Springer Science and Business Media LLC - Tập 48 - Trang 353-380 - 1986
J. Courtland White
Complex networks of biological processes are analogous to electrical circuits. For each step in a biological or electrical network, flow is dependent on the driving force and the conductivity of the step. The relationship between biological flows and their driving forces can therefore be expressed as relationships between analogous currents and voltages. The time dependence of approach to equilibr...... hiện toàn bộ
The development of anoxia following occlusion
Springer Science and Business Media LLC - Tập 44 - Trang 851-877 - 1982
Eric P. Salathé
A kinetic theory of enzymatic oxidation-reduction reactions based on a postulate of electron conduction in a macromolecular enzyme with an application to active transport of small ions across biological membranes
Springer Science and Business Media LLC - Tập 25 - Trang 165-176 - 1963
Freeman W. Cope
Experimental evidence of electron conduction within a protein has recently been given by Rosenberg. This paper gives a quantitative kinetic treatment of a hypothetical enzyme reaction that is rate-limited by electron conduction within the enzyme molecule. In particular, a kinetic theory of enzymatic oxidation-reduction has been built considering the enzyme to consist of a large protein molecule ca...... hiện toàn bộ
Global stability of single-species diffusion volterra models with continuous time delays
Springer Science and Business Media LLC - Tập 49 - Trang 431-448 - 1987
E. Beretta
Passive transfer of low-molecular nonelectrolytes across deformable semi-permeable membranes—II: Dynamics of a single muscle fiber swelling and shrinking and related changes of theT-system tubule form
Springer Science and Business Media LLC - Tập 36 - Trang 379-401 - 1974
H. M. Geiman, L. I. Rubinstein
The theory of transfer of low-molecular nonelectrolytes across deformable semipermeable membranes of large curvature developed in Part I (Rubinstein, 1974) is used to describe the dynamics of swelling and shrinking of a muscle fiber at the influx and efflux of low-molecular nonelectrolytes. A large set of computations showed that the theory explains the experiments described in the literature.
Microevolution in miocene (foraminifera) studied by canonical variate analysis and analysis of landmarks
Springer Science and Business Media LLC - Tập 51 - Trang 657-679 - 1989
Fred L. Bookstein
Ants and Agents: a Process Algebra Approach to Modelling Ant Colony Behaviour
Springer Science and Business Media LLC - Tập 63 - Trang 951-980 - 2001
D.J.T. Sumpter, G.B. Blanchard, D.S. Broomhead
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