Traveling bands of chemotactic bacteria in the context of population growthSpringer 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 BenefitsSpringer 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 EquilibriaSpringer 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 drugsSpringer 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