Vol 26, No 4 (2022)
- Year: 2022
- Articles: 10
- URL: https://ered.pstu.ru/index.php/rjb/issue/view/311
- DOI: https://doi.org/10.15593/российский%20журнал%20биомеханики.v26i4
Articles
DIFFERENTIAL TONOMETRY WITH A SCHIØTZ TONOMETER: MATHEMATICAL MODELING WITH ACCOUNT FOR THE NONLINEARITY OF THE ELASTIC BEHAVIOR OF THE CORNEA AND COMPARISON WITH CLINICAL DATA
Abstract
Mathematical modeling of the diagnostic procedure of differential tonometry based on loading the eye with a Schiotz tonometer using two or more weights of the plunger, one of the two structural elements of this tonometer, is performed. The model of the eyeball developed earlier by the authors is used, based on the representation of the cornea as a momentless two-dimensional elastic surface and the scleral region as a zero-dimensional elastic element that responds with a change in pressure to a change in the volume of the fluid contained in it. Unlike previous works, in which a theoretical study of differential tonometry was carried out based on a physically linear model of the cornea, the nonlinearity of its elastic behavior is taken into account on the basis of an effective approach that made it possible to describe this nonlinearity by means of a single parameter. It is shown that the dependence of the tonometric pressure on the weight of the plunger remains almost linear, which makes it possible to introduce the pressure difference coefficient γ as the slope of the corresponding straight line. This coefficient increases with both scleral and corneal stiffness and decreases with true pressure. Accounting for nonlinearity leads to increase in the calculated values of γ at sufficiently high both true pressures and stiffnesses of the two components of the eyeball, as well as to an expansion of the pressure range for which these values are large. It is shown that two groups of eyes can be distinguished, in one of which, characterized by high values of the pressure difference coefficient, both components of the corneoscleral coat are very rigid, and in the other, where these values are significantly lower, the stiffness of the eye tissues can be considered normal. At the same time, an intermediate range of γ values remains, for which such definite conclusions cannot be drawn only from the result of differential tonometry. However, the ability to isolate a group of very stiff eyes that are particularly likely to have glaucoma makes this procedure useful in diagnosing this disease.
Russian Journal of Biomechanics. 2022;26(4):10-18
STUDY OF THE STRENGTH OF A HIP ENDOPROSTHESIS MADE OF POLYMERIC MATERIAL
Abstract
Developing individualized implant designs in the shortest possible time is a challenging problem in personalized medicine; advanced digital technologies are increasingly integrated in biomedicine to tackle this challenge. While acceptable results are obtained in hip arthroplasty, there is still a number of serious issues that require further research into the design and materials of personalized implants. In particular, studies on the behaviour of biomechanical systems under functional loads have raised a number of questions concerning correct application of loads accounting for the muscle-joint interactions and the implant material selected that could ensure long-term biocompatibility with the human body without replacement. As a way to solving the problem, we considered personalized finite element models prepared based on patient computer tomography data obtained from NMRC for Traumatology and Orthopaedics named after R.R. Vreden (St. Petersburg). We constructed a realistic finite element model of the pelvis, investigating the stress-strain state of the pelvic bones and implants during simulation of primary and revision hip arthroplasty. A series of simulations was performed for different shapes of the endoprosthesis and fixation methods, analysing the potential applications for the personalized endoprosthesis made of a polymer material.
Russian Journal of Biomechanics. 2022;26(4):19-33
Study of the dna denaturation based on the peyrard-bishop-dauxois model and recurrence quantification analysis
Abstract
The aim of this work was is to study of the phase transition during thermal denaturation of DNA by the method of recurrence quantification analysis, which is the most modern and efficient approach for the analysis of complex systems. To achieve the goal, the nonlinear dynamics model of the DNA denaturation is implemented, based on the Peyrard-Bishop-Dauxois approach, which allows determining the state of DNA base pairs at an arbitrary point in time. Next, the dynamics of DNA is simulated at different temperatures, and the evolution of hydrogen bond stretching during DNA heating is studied. To analyze the results obtained, the method of recurrence quantification analysis is used, which make it possible to judge the nature of the processes occurring in the system and are of particular interest in relation to the study of nonlinear DNA dynamics, in particular phase transitions, since on the basis of their analysis it is possible to identify states of repetition and fading (laminarity), the occurrence of extreme events, the presence of hidden periodicity and cyclicity. Using this method of analysis, quantitative measures are calculated in a window shifted along the main diagonal of the recurrent plot (RP). These measures quantify fine-scale RP structures. The calculations reveal the most sensitive measures to the analysis of the process under study, with the help of which the precursors of the phase transition are determined.
Russian Journal of Biomechanics. 2022;26(4):34-44
ASSESSING THE EFFECT OF SPINAL CORD INJURY SEVERITY ON THE MECHANICAL PROPERTIES OF THE HIND LIMB BONES OF EXPERIMENTAL RATS
Abstract
Spinal cord injuries are often accompanied by osteoporosis, which complicates rehabilitation. The effect of injury severity on changes in bone strength properties is poorly understood. Therefore, the aim of the present study was to assess changes in bone mechanical properties in the diaphyseal region after spinal cord injury of different severity (contusion and total spinal cord injury). The study was conducted on non-linear rats weighing 180-200 g. Animal housing and experimental procedures were carried out in compliance with bioethical norms. Complete spinal cord injury was simulated by transection of the spinal cord at the Th8-Th9 level. Contusion trauma to the spinal cord was inflicted at the Th8-Th9 level according to a modified technique by A. R. Allen. Animals were removed from the experiment on the 30th day, after which the bones (tibia and femur) were extracted. Geometric, volumetric and mass characteristics were determined for each bone, and three-point bending tests were performed. The results showed that spinal cord injury in experimental rats resulted in a loss of strength in the femur and tibia. In the case of contusion injury, the decrease in hind limb strength was more pronounced in rats (21 % in the tibia and 27 % in the femur) than in total spinal cord injury (21 % in the tibia and 19 % in the femur). At the same time, the density and Young's modulus of the tibia and femur did not significantly change after total and contusion spinal cord injury in rats. On the basis of the results obtained, the authors hypothesized that in the process of immobilization after spinal cord injury of different severity, the bone microarchitecture of the experimental animals was changed. It is suggested that it is the changes in the microarchitecture that lead to significant changes in bone strength.
Russian Journal of Biomechanics. 2022;26(4):45-55
STATE-OF-THE-ART PROCEDURAL CONSIDERATIONS FOR THE PROSTHETIC ALIGNMENT OF TRANSFEMORAL AND TRANSTIBIAL PROSTHESES
Abstract
Prosthetic alignment plays an important role in the rehabilitation and outcomes of individuals with lower-limb loss. The goal of this work was to systematically review the state-of-the-science related to prosthetic alignment research and to identify the primary outcomes associated with prosthetic alignment as well as considerations for implementing alignment procedures. The review process was conducted papers searching in Scopus, PubMed, and IEEE databases. The PRISMA methodology was used to identify the prevalence of prosthetic alignment procedures from a technical and procedural point of view. Data extracted from papers included population attributes, outcome measures and metrics, alignment procedure characteristics, and the effects of prosthetic alignment on rehabilitation outcomes. The quality of the papers was assessed using thirteen predetermined criteria. Most studies in the sample were rated as low quality based on our formal assessment. The studies found that changes in socket reaction moment, ground reaction force, socket-stump interface pressure, spatiotemporal data, and patient comfort were typically affected by socket and foot angulations and translations. Considerations for alignment research focused on ambulation method, footwear use, accommodation time, and number of trials. The literature provides limited information about the considerations and outcomes of alignment procedures. The evidence is not of high quality and primarily relates to individuals with transtibial amputation.
Russian Journal of Biomechanics. 2022;26(4):56-72
The feces flow in colon: Biomechanics, rheology, simulation
Abstract
Modeling can allow us to realize the functionality of a living organ and analyze the influence of various factors on it. In particular, modeling the movement of fecal masses through the intestine allows us to investigate the relationship between motility and the processing of intestinal contents, the time of its progress, and the role played by peristaltic waves. The intestine is a complicated system of complex geometric shape, wave movements of several configurations, and multi-level processing of internal contents. At the same time, a medical examination of the individual features of its structure and function is quite time-consuming. Building a personalized model that takes into account all these factors is a non-trivial task. However, such a model (if it can be developed) will minimize the use of invasive assessments of a patient's condition. It can also be used as the basis for planning therapeutic measures for a particular patient. This article presents an overview of current mathematical models developed in the past couple of decades for simulating the movement of fecal masses through the large intestine.
Russian Journal of Biomechanics. 2022;26(4):73-87
A mathematical model of microcirculation for predicting reperfusion syndrome in diabetic patients
Abstract
Diabetes mellitus is a group of chronic metabolic disorders, characterized by an elevated blood sugar level. Due to the rapidly growing number of patients with diabetes mellitus, the complications rates are also increasing dramatically. Currently, non-invasive experimental methods are adopted to evaluate microcirculatory perfusion and reveal early diabetic microangiopathy dysfunction. Since microcirculation function assumes several interrelated processes depending on a large number of parameters, similar clinical manifestation of microcirculation disorder can be caused by various alterations that are often impossible to determine using only experimental data. Mathematical modeling is a promising tool to overcome mentioned above issues and en-hance experimental methods. This paper focuses on the development of mathematical model enabling to predict reperfusion syndrome in diabetic patients. The model of microcirculation can allow estimating other parameters (capillary wall hydraulic conductivity and oncotic pressure) by comparing computed results with capillaroscopic measurements of filtration rate. With the help of presented mathematical model we can propose a possible way for explaining why revascularization can cause aggravation of diabetic foot syndrome.
Russian Journal of Biomechanics. 2022;26(4):88-96
INVESTIGATION OF THE INDIVIDUAL OPERATIONAL RESOURCE OF THE HIP JOINT ENDOPROSTHESIS
Abstract
In most clinical cases the operational durability of the hip endoprosthesis is limited by physiological changes in the bone tissue accompanied by stability loss of the implant fixation in the bone hole. The problem of the durability of the endoprosthesis structure itself is considered solved, but the existing standards for testing the strength and wear resistance of the implant guarantee its reliability only in a limited period of time. The capabilities of modern diagnostic equipment make it possible to determine individual physiological loads on the hip joint and ensure control over the individual operational resource of the artificial joint. An experimental study of the physical activity parameters of two patients with an installed hip replacement was conducted to determine the real values of the operational loads parameters on the artificial joint. After the operation the patients underwent a course of postoperative rehabilitation, went to work and used the endoprosthesis in the mode of natural daily routine and fulfillment of their professional duties. The study showed the "guaranteed" operational resource of the endoprosthesis is limited to a 2-5 years period. The proposed algorithm for determining individual functional loads on an artificial joint can be used in developing a strategy for postoperative control of the patient, planning the timing of revision intervention, as well as in the development and implementation of personalized protocols for preclinical testing of implants.
Russian Journal of Biomechanics. 2022;26(4):97-103
AN INFECTED CORONARY ARTERY STENT; COMPLICATED BY STENT THROMBOSIS FOLLOWED BY CORONARY ARTERY PERFORATION
Abstract
Approximately 5 million percutaneous coronary interventions are performed worldwide annually. Stent-related complications occur at a fairly low rate. The presented case describes a rare infection-related complex complications of percutaneous coronary interventions. A 46-year-old non-diabetic mail developed a fever of unknown origin after six days from the initial Percutaneous Coronary Intervention and was treated empirically with antibiotic therapy without suspicion on any iatrogenic infection. After two weeks from initial percutaneous coronary interventions a patient complained chest pain and with; stent thrombosis segment elevation myocardial infarction diagnoses were readmitted at our hospital. Early stent thrombosis was diagnosed by coronary angiography followed by second percutaneous coronary interventions. After some hours from the second angioplasty procedure acute stent thrombosis was developed. Coronary angiography revealed multiple extravasations on the site of thrombosis complicated with cardiac tamponade. A patient was urgently transferred to a cardiac operation theater. A Pseudomonas Aeruginosa (multiresistant) - was positive after coronary wall tissue histomorphological examination. The fever manifestation must be considered in the differential diagnosis during one or two weeks after initial percutaneous coronary interventions. Diagnosis is based on positive blood cultures and is helpful to manage treatment strategy
Russian Journal of Biomechanics. 2022;26(4):104-109
ASSOCIATION OF INHERITED THROMBOPHILIA WITH MISCARRIAGES AND STILLBIRTH: STUDY OF GEORGIAN POPULATION
Abstract
Inherited thrombophilia increases the risk of not only venous thromboembolism during pregnancy but also placenta-mediated pregnancy complications; including miscarriages and stillbirth. Association between thrombophilias and placental-mediated pregnancy complications has been controversial in different retrospective case-control and prospective cohort studies. It is evident that placental vascular thrombosis; resulting in abnormal placentation; is at least partly responsible for these pregnancy complications. Our retrospective case control study involved patients with pregnancy complications (miscarriages; stillbirth) as well as healthy controls. Prevalence of factor V Leiden mutation was statistically significantly increased in women with miscarriages (420 patients; 4.8 %; p =0.026) or stillbirth (120 patients; 9.8 %; p =0.001). Prevalence of methylenetetrahydrofolate reductase C677T homozygote mutation was statistically significantly increased in women with miscarriages (420 patients; 7.6 %; p =0.015) and was weak in patients with stillbirth (120 patients; 4.9 %; p =0.102). Prevalence of methylenetetrahydrofolate reductase mutation in patients with only two miscarriages (205 patients) was significant (7.8 %; p =0.015). We found weak to no relationship between Prothrombin G20210A mutation and miscarriages (420 patients; 3.8 %; p =0.156) or stillbirth (120 patients; 2 %; p =0.572). Based on our data women with factor V Leiden and methylenetetrahydrofolate reductase mutation are at increased risk of developing miscarriages or/and stillbirth. Prothrombin gene mutation has weak to no relationship with studied pregnancy complications.
Russian Journal of Biomechanics. 2022;26(4):110-117