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Dynamics of the response of a complex mathematical model of the human sense of vision to light signals
 
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1
Faculty of Computer Science and Technology, University of Lomza, ul. Akademicka 14, 18-400 Lomza, Poland
 
2
Faculty of Mechanical Engineering Department of Machine Design & Mechatronics, Lublin University of Technology, ul. Nadbystrzycka 36, 20-618 Lublin, Poland
 
3
Faculty of Mechanical Engineering, Bialystok University of Technology, ul. Wiejska 45C, 15-351 Bialystok, Poland
 
 
Corresponding author
Jakub Gajewski   

Faculty of Mechanical Engineering Department of Machine Design & Mechatronics, Lublin University of Technology, ul. Nadbystrzycka 36, 20-618 Lublin, Poland
 
 
 
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ABSTRACT
The paper presents a proposed solution for the dynamic response of a complex mathematical model of the human sense of vision to light signals. The solutions were based on the model proposed by authors. The solutions were independently developed for: the main path model, the feedback path model of the pupil's neuromotor system, and the solution combining the main path model with the feedback path model of the pupil's neuromotor system. Each of these solutions was developed for two cases. In the first case, the signal disturbing the human visual system was descriptively defined as a strong, short-term irritation of a light beam incident on the eyeball (a flash, represented in calculations by the Dirac function). The second case involved a situation of prolonged light beam incident on the eyeball of a not very bothersome intensity (a unit step, represented in calculations by the Heaviside function). The solutions were given in the form of symbolic equations of the dynamic waveforms of the output signals and models with inserted parameter values. Based on these equations, graphs of the time courses of the output functions for light beam interference were constructed.
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