###### Abstract  
The authors of this paper focused their attention on developing numerical models of mechanical wave propagation along human tissue as a result of the application of the measuring head of the FibroScan(r) elastograph. The FibroScan(r) diagnostic device is used for diagnostic testing of liver fibrosis and steatosis. This examination is carried out using an in vivo method by directly applying the surface of the ultrasonic measuring probe to the patient's skin at the site of the liver. The authors' idea is to use this apparatus for non-invasive testing on the liver used for transplantation. In order to do this, the measuring head cap should be modified so that its application to the liver does not result in damage as a result of mechanical wave excitation. The purpose of the manuscript was to build numerical models of the liver and the tissues surrounding the liver. Then, the corresponding numerical simulations were carried out, the results of which corresponded to the mechanical-acoustic properties of the physical models of the tissues. The obtained results were validated on a set of commercial calibrated phantoms. High agreement of the numerical models was obtained. elastography; mechanical wave; FEM/SPH analysis 2023131843103390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app13211184310390/app132118431039 There is a narrow range of available literature describing the use of transient elastography including the FibroScan(r) device to assess liver fibrosis by measuring liver stiffness. In his study, [PERSON] and his research team focused on assessing fibrosis in liver transplantation and investigating the relationship between obesity and normal test results [2]. The experimental group consisted of 29 patients who underwent liver transplantation in 2008, and he noted that the use of the FibroScan(r) device allows the volume of the test sample to be almost 100 times larger than that of a classic biopsy [4]. However, this technique does not work well in obese patients whose body mass index (BMI) is above 28 kg/m\({}^{2}\) and in cases of ascites. The probe of the device used was applied through the intercostal spaces to the right lobe of the liver [5]. A success rate of at least 60% in performing the test was achieved. The final result was that almost one in five patients could not be examined properly because they were overweight or had ascites. A BMI value above 30 kg/m\({}^{2}\) resulted in an incremental test abnormality of up to 50%. In view of these conclusions, attempts are underway to develop a specialized FibroScan(r) probe for obese patients to minimize the error rate. A research group from India led by [PERSON] conducted a 2022 review of techniques and trends in the diagnosis of liver steatosis in donors [3]. They paid particular attention to the study of macrovesicular steatosis in the livers of deceased and living donors. They emphasized that elevated levels of macroalveolar steatosis are directly associated with adverse outcomes in liver transplantation. One of the non-invasive diagnostic methods included in the analysis was ultrasound using the FibroScan(r) device, where the difference in value between a fat-laden hepatocyte and a normal hepatocyte was examined. The use of the backscattered amplitude of the ultrasound wave was adopted as the device's operating algorithm to analyze the intensity of this signal. Setting the attenuation parameter in the range of 100-400 dB/m results in increased penetration of fat in the liver [6; 7]. Through studies conducted on deceased donor organs, it has been found that there is a directly proportional relationship between the results of the FibroScan(r) device and the success of liver transplantation.