Photomatrix therapeutic systems (PMTS) are widely used for the tasks of preventive, stimulating and rehabilitation medicine. They consist of low-intensity light-emitting diodes (LEDs) having the quasi-monochromatic irradiation properties. Depending on the LED matrix structures, PMTS are intended to be used for local and large areas of bio-objects. However, in the case of non-uniform irradiation of biological tissues, there is a risk of an inadequate physiological response to this type of exposure. The proposed approach considers a novel technique for designing this type of biomedical technical systems, which use the capabilities of stochastic algorithms for LED switching. As a result, the use of stochastic photomatrix systems based on the technology of uniform twisting generation of random variables significantly expands the possibilities of their medical application.Algorithms 2020, 13, 41 2 of 21 occurs at the molecular, cellular, tissue, organ, and systemic levels in the bio-object. The main effects of phototherapy should be considered a systemic improvement in metabolism, as well as the normalization of blood flow components, for example, blood viscosity, microcirculation and rheology parameters, immunologic responses, and secondary regenerative processes, among others [21][22][23][24][25][26][27]. As a result, expressed therapeutic effects are achieved, such as biostimulatory, anti-inflammatory, analgesic, and decongestant effects, and many others.Several typical medical PMTS are presented in Figure 1. In particular, Figure 1A shows a cylindrical apparatus for photomatrix action on extremities of hands and feet, and Figure 1B presents a semicylindrical apparatus for the integral irradiation of extended skin surfaces, such as the abdomen or back. In addition to devices for the LED exposure alone, there are also combinations with other various sources of low-intensity physiotherapy. In particular, Figure 1C shows an apparatus that combines both LED irradiation and negative low-intensity pressure for the treatment of copulative dysfunction; Figure 1D displays a photo-ultrasound tool for treating the infected and purulent-necrotic wounds, which consists of a spherical segment of PMTS and a low-frequency ultrasonic waveguide; Figure 1E demonstrates a device combining LEDs of various wavelengths and a low-intensity magnetic field to affect various systems of the human body, for example, nervous, circulatory, musculoskeletal, etc., in order to enhance metabolic processes. In addition to the rigid frames in which the LEDs are fixed, there are also many PMTS based on flexible substrates, which provide a more accurate correspondence to the reliefs of biological tissues. Therefore, Figure 1F presents a semi-flexible construction of PMTS designed for various medical tasks based on LED phototherapy. In general, over thirty different types of PMTS are presently available on the market or known as laboratory prototypes.Algorithms 2020, 13, x FOR PEER REVIEW 2 of 21