Modelling Of Wound Process Dynamics in Patients with Diabetes Mellitus In Addition To Vac-Therapy witha Discrete-Time Markov Chain
نویسنده
چکیده
The wound process in patients with diabetes mellitus in addition to VAC-therapy (Vacuum-assisted closure — VAC® therapy) is examined. The model of the biological system describing the wound process is built on three independently functioning subsystems; it is assumed to be ergodic and presented with a symmetric graph. The mathematical model of the wound process dynamics is constructed based on a discrete-time Markov chain and constitutes an eighth-order iterative matrix equation. A period of 24 hours is taken as the discrete time during which the probabilistic characteristics of the subsystems are assumed to be averaged. The phase course of the wound process in patients with diabetes mellitus in addition to VAC-therapy is viewed as a Markovian process of the biological system random walk among eight possible states depending on the preassigned baseline state and transition probabilities. It is tested for stability. The calculation algorithms modelling multidimensional Markovian processes are adapted to computer technology.
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