Cardiorehabilitation is a fundamental component of the secondary prevention of cardiovascular disease in patients with acute cardiovascular disease. The article considers the main goals, components, rules of selection and control of intensity and safety of physical training programs during ambulatory cardiorehabilitation.

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Aim. To describe modern opinions about the role of remote technologies in the dispensary observation of patients with cardiovascular diseases. Materials and methods. The data of 57 scientific sources published in the russian and foreign press in 1984-2018 are considered. Results and conclusion. It is generally recognized that patients with myocardial infarction need cardiac rehabilitation, but the frequency of their participation in its programs remains low due to transport problems, unwillingness to leave home due to anxiety and depression, and to change the mode of the day due to the need for ambulant visits, etc. Modern achievements of telemedicine solve these problems and allow doctors to monitor the status of patients remotely. All types of telemetry devices have some advantages: external cardiomonitoring systems in real time quickly collect and transmit the most complete information without the participation of the patient, standard non-loop and loop recorders are inexpensive and widely available, and adhesive patch recorders are very easy to use and increase compliance. The use of mobile applications and SMS in the framework of remote cardiorehabilitation has not been sufficiently studied, but data on their effectiveness in correcting the behavior of patients have already been collected. Experts have not yet come to a consensus on the effectiveness of complex tele-cardiorehabilitation, including telemetry, telecoaching and teleconsulting, but many studies have shown that it is a worthy alternative to traditional rehabilitation programs, as it has higher rates of attendance.

This paper studies two new models for a telegraph process: Cox-based and elliptical telegraph processes. The paper deals with the stochastic motion of a particle on a straight line and on an ellipse with random positive velocity and two opposite directions of motion, which is governed by a telegraph–Cox switching process. A relevant result of our analysis on the straight line is obtaining a linear Volterra integral equation of the first kind for the characteristic function of the probability density function (PDF) of the particle position at a given time. We also generalize Kac’s condition for the telegraph process to the case of a telegraph–Cox switching process. We show some examples of random velocity where the distribution of the coordinate of a particle is expressed explicitly. In addition, we present some novel results related to the switched movement evolution of a particle according to a telegraph–Cox process on an ellipse. Numerical examples and applications are presented for a telegraph–Cox-based process (option pricing formulas) and elliptical telegraph process.