The search session has expired. Please query the service again.
We consider the problem of state and parameter estimation for a class of nonlinear
oscillators defined as a system of coupled nonlinear ordinary differential equations.
Observable variables are limited to a few components of state vector and an input signal.
This class of systems describes a set of canonic models governing the dynamics of evoked
potential in neural membranes, including Hodgkin-Huxley, Hindmarsh-Rose, FitzHugh-Nagumo,
and Morris-Lecar...
This paper gives an overview of the formulation and solution of network equations, with emphasis on the historical development of this area. Networks are mathematical models. The three ingredients of network descriptions are discussed. It is shown how the network equations of one-dimensional multi-port networks can be formulated and solved symbolically. If necessary, the network graph is modified so as to obtain an admittance representation for all kinds of multi-ports. N-dimensional networks are...
In this paper, we present a vaccination model with multiple transmission ways and derive the control reproduction number. The stability analysis of both the disease-free and endemic equilibria is carried out, and bifurcation theory is applied to explore a variety of dynamics of this model. In addition, we present numerical simulations to verify the model predictions. Mathematical results suggest that vaccination is helpful for disease control by decreasing the control reproduction number below unity....
We propose a new approach to the mathematical modelling of
microbial growth. Our approach differs from familiar Monod type models by
considering two phases in the physiological states of the microorganisms and
makes use of basic relations from enzyme kinetics. Such an approach may
be useful in the modelling and control of biotechnological processes, where
microorganisms are used for various biodegradation purposes and are often
put under extreme inhibitory conditions. Some computational experiments
are...
The scheduling of angiogenic inhibitors to control a vascularized tumor is analyzed as an optimal control problem for a mathematical model that was developed and biologically validated by Hahnfeldt et al. [Cancer Res. 59 (1999)]. Two formulations of the problem are considered. In the first one the primary tumor volume is minimized for a given amount of angiogenic inhibitors to be administered, while a balance between tumor reduction and the total amount of angiogenic inhibitors given is minimized...
Currently displaying 1 –
13 of
13