In this paper we study ventilation patterns in a set of parameter dependent nonlinear delay equations with two transport delays modeling the human respiratory control system with peripheral and central control loops. We present a convergent numerical scheme suitable to perform simulations when all disturbances and system parameters are known, then we consider the numerical identifiability of various system parameters based on ventilation data. We are especially interested in the identification of the transport delays in the control loops because these parameters are not measurable directly, but they have a strong influence on system stability/instability.
Pradhan, Saroj P.; Hartung, Ferenc; and Turi, Janos
Dynamics in a Respiratory Control Model With Two Delays,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 14,
2, Article 15.
Available at: https://digitalcommons.pvamu.edu/aam/vol14/iss2/15