To meet this challenge, researchers, engineers, doctors, and scientists from around the world undertook the task of designing easily useable mechanical ventilators, such as in [19,20]. Academic institutions, industries, and several manufacturers, such as GM, Ford, Dyson, Rolls-Royce, and Tesla have made efforts to adapt their manufacturing facilities to create ventilators for the very first time [1]. In addition to this, strategies have been proposed for the sharing of a ventilator between two patients (co-venting) [3]. Moreover, in [21], an overview of the available data regarding the respiratory mechanics and mechanical ventilation settings for patients admitted to ICUs due to COVID-19 is illustrated. In particular, the mode of ventilation used within the first 24 h in ICUs was the \"pressure-controlled continuous mandatory ventilation (PC-CMV)\" mode for 52%, and the \"volume-controlled continuous mandatory ventilation (VC-CMV)\" mode for 19% [22]. The values of tidal volume varied from 5.6 to 7.5 mL/kg [23], the plateau pressure (P\({}_{\text{ph}}\)) ranged from 20.5 to 31 cmH\({}_{2}\)O [24,25], the PEEP ranged from a minimum of 9 to a maximum of 16.5 cmH\({}_{2}\)O [23,26], the respiratory rate (RR) ranged from 20 to 33 breaths/min [23,26,27], and the compliance of the respiratory system (C\({}_{\text{RS}}\)) showed wide variations, ranging from 24 to 49 mL/cmH\({}_{2}\)O [24,25]. Under this scenario, the aim of this paper is to propose an accurate simulation modelling platform and to validate it for the typical modes of ventilation in ICU mechanical ventilators, namely the \"volume-controlled continuous mandatory ventilation (VC-CMV)\" mode and the \"pressure-controlled continuous mandatory ventilation (PC-CMV)\" mode. The numerical model, which simulates the interaction between human lungs and mechanical ventilators, could prove to be extremely beneficial to doctors when making vital decisions, as the information can easily be seen on a simple graphical interface. The concept of computer-aided prototyping of a mechanical system, performed in a simulation environment that permits the modelling of complex scenarios, such as Matlab/Simulink, has been used in a wide spectrum of studies, ranging from the simulation of the dynamic vehicles to exoskeleton design for rehabilitation [28; 29; 30; 31; 32; 33]. Therefore, by automating the process, it is possible to control both the ventilation modes and the parameters based on the patient's condition. This has been an area of great scientific interest, especially since the advent of COVID-19. In [34], Matlab/Simulink and the Simscape libraries were used to create a simulation model in order to study the interaction between human lungs and mechanical ventilators. The model comprised the patient's lungs, the ventilator device with valves and tubes, as well as a pressure-targeted ventilator controller. The patient's lungs were simulated as a piston moving inside a cylinder, the lung compliance was simulated as a spring, the airway resistance as a damper, and the inspiratory and expiratory tubes and the trachea as pipes. A closed-loop control was used to control the mechanical ventilation process with a pre-set value of flow supplied to the patient. Thus, the variables were transferred to the embedded software system, where the calculation of ventilatory parameters and variables was obtained. In [35], both numerical simulations and experimental tests on rats were carried out in order to show the interaction between the ventilator and lung model. Firstly, the lung mechanics and mechanical ventilator were modeled in Matlab/Simulink, and three different lung models were used to represent the rat. Pressure waveforms, using the VC-CMV mode, were calculated for all models for three different airway resistance values using the same lung compliance value. Secondly, a mechanical ventilator prototype was designed and controlled via fuzzy control through the LabVIEW 2010 academic software.