Mathematical justification of the wound suturing by wound contractors of new generation S.G. Izmaylov1, A.I. Rotkov1, V.V. Beschastnov1, S.I. Rotkov2.3, E.V. Popov2, E.E. Lukoanychev1 rotkov@nngasu.ru 1 GKB No. 35, Nizhny Novgorod, Russia; 2 Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod, Russia; 3 ANO "Research Center for Physical and Technical Informatics", Nizhny Novgorod, Russia Frequent cases of man-made disasters, terrorist attacks and military conflicts lead to an increase in the number of victims. Significant soft tissue defects are known to result from gunshot wounds. So, as a result of mine-blasting injuries, defects in the skin and underlying tissues more than 10 cm in diameter are formed in 71.1% of cases. The prerequisite for the uncomplicated course of the wound process is to achieve an adequate comparison of the edges of the wound without excessive tension. To close such extensive wounds, various technical means are used: sutures on pads, various types of dermatotension. We have developed various models of wound contractors (RC) for treatment of wounds. With the help of the RC, a complete reposition and good adaptation of the edges of the wound is created. The wound closure method using these RC almost completely eliminates tissue cutting and limits the sawing effect to a minimum. This is explained by the effects of elastic forces reducing to zero when matching soft tissues and suturing. The use of hardware methods for suturing wounds requires the development of mathematical models of various types of wounds and surgical sutures. These models should provide a simulation of living tissues of the wound edges behavior to achieve the best results in the treatment of wounds by RC advanced technologies. The purpose of this study is to mathematically justify RC with the parallel holding of spokes. Another purpose is to develop a mathematical model of the wounds suturing by hardware technology. Key words: wound suturing, wound contractors, spoke adaptation and reposition contractors, branch, adaptation and reposition apparatus. (SPARC-III) that we developed to bring the edges of the 1. Introduction granulating wound closer in the animals of the main group. The mathematical justification of the spoke adaptation- This device for converging the wound edges is protected repositional contractors (SPARC) and methods for by Patent for invention No. 2214797, filed January 8, 2002 suturing wounds was carried out by standard formulas and and published on October 27, 2003 in Bulletin No. 30 S. methods adopted in mechanics [1-3]. Mathematical G. Izmaylov, V. V. Beschastnov, A. A. Bodrov, M. N. calculation and formulas derivation were consulted by the Kiselev, M.N. Kudykin. (A positive FIPS decision on the assistant professor of the Department of Theoretical grant of a patent of the Russian Federation dated 01/18/02. Mechanics of Kazan State University Tazyukova F.Kh. On the application for invention No. 2002100973). The The wound mathematical model was developed together device contains two branches (Fig. 1), a rack-and-pinion with Professor E.V. Popov and Professor S.I. Rotkov. drive and spokes, characterized in that the spokes are made The experimental part of the work was performed on in the form of curved surgical spokes, comprising 1/2 - 5/8 18 outbred dogs, weighing 14.5 ± 0.7 kg, which were of the diameter of the circle and installed with the divided into two groups: experimental (hardware method possibility of fixation by presoft tissueated branches made of suturing) and control (traditional method of suturing). of two corrugated plates on internal surfaces. In this case, An extensive granulating wound was modeled according one of the plates is removable, and in the end part of the to the method of V.I. Struchkov (1975) in our other, a turnkey 3- or 4-sided groove is made for modification. alternately turning the branch in the cylindrical sockets of In order to reduce the morbidity of stitched tissues, we the rack-and-pinion drive, which is equipped with screw used a spoke (Sp) adaptation-reposition apparatus (ARA) clamps for turning the branches, which can be fixed by rails to each other. Fig. 1. General view of SPARC -III for rapprochement of the edges of a granulating wound in a prefabricated form with removable branches and spokes made in the form of curved surgical needles Copyright © 2020 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0) The ARA was removed after suturing in the 1st series method (Ramazanov R.M., 1983; Izmailov S.G., 1994). of the experimental group of animals, and in the 2nd series, The thickness of the tissues in the area of the wound it remained on the wound for up to 3 days. In this case, the sutured edges was measured with a caliper. rack-and-pinion drive was removed. Capron No. 4 was To assess the state of the microvascular bed around the used in control group, and sterilized and factory-packed wound during tissue tension, a study of the skin suture material in experimental group No. 2. temperature was carried out in dynamics (Struchkov V.I., Microbiological studies were carried out on the basis 1975). The skin temperature was measured with a TEN-5 of the Research Institute of Epidemiology and electronic thermometer, manufactured in 2001 (Moscow), Microbiology of the Ministry of Health of the Russian intended for use in medicine and veterinary with 0.1°C Federation. I.N. Blokhina. The consultant was the leading resolution. researcher at the Laboratory of Microbiology and All animal operations were carried out in compliance Diagnosis of Dysbiosis, candidate of biological sciences with the order of the USSR Ministry of Health No. 755 of E.V. Belyaevа in compliance with the order of the USSR 08.22.77. Ministry of Health No. 535 of 04/23/85. The range of studies included quantitative and qualitative determination 2. Results and discussion of microflora. To quantify microorganisms, colony The entire devices is subdivided according to the forming units (CFU) were counted with limiting dilutions bringing together mechanism working part into the per 1 ml of wound, 1 cm2 of skin and 1 cm of suture. The following main subgroups: 1 - spoke, 2 - lamellar, 3 - skin and the animal’s hair were studied in the area of filament, 4 - spoke and 5 - rod. purulent wound modeling, separated from the wound at the Depending on the wound location and shape, the RС stage of purulent inflammation and regeneration, as well are divided into: general (for all wounds) and special (for as suture material inside the tissues. operations on the limbs, etc.). By appointment, the RС are The “surface biopsy” method according to M.F. divided into the following types: fixation (for gripping and Kamaev (1970) was applied to cytological studies. holding tissues); hemostatic (for temporary, preventive or Material for histological examination was taken final stop of bleeding); immobilization; for the immediately after suturing and on the 3rd day after implementation of programmed rehabilitation of the suturing the wound. Cytological and histological studies pathological hotbed. were carried out in consultation with an assistant professor The most universal devices are SPARC with parallel of the Department of Forensic Medicine and Pathological holding of spokes relative to the axis of the wound. The Anatomy of the Novosibirsk State Medical Academy A.A. goal of the work is to substantiate the use of curved Artifeksova. knitting spokes in parallel by the methods of mathematical The strength properties of the scar were studied by modeling. The feasibility of using bent knitting spokes is ranotensiometry method on the 3rd day after suturing of justified by the following circumstances. the granulating wound by a special device (Grechko V.N., We assume that the place of entry A (A0) and the place 1993). of exit B (B0) of these spokes coincide. Denote by l the Experimental and clinical measurements of the elastic length of the straight spoke in the soft tissue, l0 the length forces separating the edges of the soft tissue wound along of the curved spoke in the soft tissue (l0 > l) (Fig. 2). its entire length were carried out by the dynamometric Fig. 2. Two types of spokes Consider two cases of spoke: straight and curved 𝑞𝑞0 = 𝑙𝑙 < 1, (3) spokes (Fig. 2). Since most of the spoke is located in the 𝑞𝑞 𝑙𝑙0 soft tissue at the curved spoke, and not at the straight where q0, q are the pressures of the curved and straight spoke, and given the formula spokes on the soft tissue respectively. 𝑃𝑃 𝑃𝑃 𝑞𝑞0 = , 𝑞𝑞 = , (1, 2) We carry out a numerical estimate of inequality (3). It 𝑙𝑙0 𝑙𝑙 is known that we obtain the following inequality 𝑙𝑙0 = 𝑟𝑟 ∙ 𝛼𝛼, 𝑙𝑙 = 2𝑟𝑟𝑟𝑟𝑟𝑟𝑟𝑟�∝�2� (4) Here r is the radius of the curved spoke, α is the central 𝑞𝑞0 𝑙𝑙 𝑆𝑆𝑆𝑆𝑆𝑆�∝�2� = = ∝� (5) angle in radians. 𝑞𝑞 𝑙𝑙0 2 Find the q0 / q ratio for different types of knitting Let us plot the relationship between the pressure ratio spokes of the curved spoke and the straight spoke as a function of the central angle α of the curved spoke (Fig. 3). Fig.3. The ratio of pressure on the soft tissue of a curved spoke to a straight line, depending on the central angle of the curved spoke It can be seen from the graph that, as α increases, q0 / Fig. 4 shows a top view of a schematic diagram of the q decreases. In limiting cases, when α = π (h = l = r), q0 is proposed device less than q by 36.34% (2.8 times). Fig. 4. Top view of the device As an example, Fig. 3 shows two pairs of spokes (N = Second, deformation of the skin tissue and adjacent 2, N is the number of pairs of spokes). Here A1, A2, C1, C2 soft tissues at the points of entry / exit of the spoke occurs. are the entry points of the spokes; B1, B2, D1, D2 - exit In places of entry / exit to the spoke, skin and adjacent points of the spokes; F [H] - the total force acting from the soft tissues, P / 2 forces act (Fig. 5). side of the device on the tissue. Let us evaluate the spokes pressure q [H / m] to the tissue. We will consider two factors. First, an increase in the number of N pairs of spokes. Assuming that the length of the spoke in different pairs varies slightly, we can assume that the force P acting on one spoke is approximately equal to P = F / N. An increase the number N of pairs of spokes decreases their pressure q on the tissue (q = P / l). For uniform Fig. 5. The forces acting on the soft tissue during the knitting pressure on the fabric, it is necessary to arrange the spokes at different depths and distances. It is necessary that the Therefore, in the places of entry / exit of the spokes soft distance between the spokes is greater than their diameter tissue is crushed. The creasing of the fabric will occur due d [m], since they do not affect on the tissue at the distance to the tangential forces τ, which are determined by the greater than d. following expression 𝜏𝜏 = 𝐹𝐹 2 . (6) The data obtained in an animal experiment confirmed 𝑁𝑁�𝜋𝜋𝑑𝑑 �2� mathematical calculations. Thus, the experimental studies It follows from (6) that an increase in the number of showed that the closure of the granulating wound in the spokes reduces the trauma of the skin at the points of entry experiment (using hardware) occurred in more favorable and exit of the spokes. conditions with the possibility of using precision Thus, the implementation of spokes in the form of technology and thin suture threads (Capron No. 2, thread curved surgical spokes in the form of 1/2 - 5/8 of the diameter 0.25 mm). In the control group of animals joining diameter of the circle provides a deep and wide capture of the wound edges was possible only when using Nylon tissues of the edges of the wound in a limited area. This thread No. 4 (thread diameter 0.45 mm). With this reduces the morbidity of the wound edges and improve the diameter, the suture material retained its initial strength, adaptation of wound surfaces with deep soft tissue defects and during visual inspection there were no signs of healing by secondary intention. Fixing SPARC-III to the excessive threading of the tissue with the thread at the time skin with spokes in the form of surgical needles in 5/8 of of wound closure. The breaking load of the used suture the circle diameter allows the device to be used to reduce material with a diameter of 0.25 mm and 0.45 mm was on the edges of small wounds when the use of more bulky average (M ± m) 9.9 ± 1.2 N and 33.4 ± 2.3 N, respectively spoke devices is traumatic. An increase in the number of (p <0.05). The use of RC completely excluded the curved spokes, parallel to the branches and with the “sawing” action of the thread observed with the traditional possibility of moving in horizontal and vertical directions, method of suturing. The experiments showed (table 1) that allows tissue traction at different levels determined by the when using the RC, a stress distribution in the weld area depth of the spokes simultaneously or alternately turning that is safe in terms of healing is achieved. on or off a pair of spokes, reduces tissue trauma to all layers of the wound edge. Table 1. Comparative assessment of the thread tension force (FН), normal (σ) and tangential (τ) stresses, pressure (P) of the edges of the wound against each other with different methods of suturing granulating wounds FН matching the wound edges, N FН tightening the Suturing Method σ·106 Pa τ·106 Pa Р·106 Pa central part edge part seam assembly, N Traditional 18,1±0,6 13,7±0,6 34,1±0,7 8,2±0,4 1,5±0,2 0,20±0,05 Hardware 0 0 2,0±0,1 1,6±0,1 0,10±0,02 0,01±0,003 р <0,01 <0,01 <0,01 <0,01 <0,01 <0,01 According to electro thermometry, the average skin significant increase in the number of microorganisms to temperature of healthy tissues in the wound area in the (3.5 ± 0.6) 105 CFU / cm. Moreover, an increase in control group was (M ± m) 29.7 ± 0.3 ° C, and in the main bacterial contamination of suture material was group 29.8 ± 0.2 ° C (p> 0.05 ) In the stage of purulent accompanied by an increase in the frequency of detection inflammation, the temperature of the perivular zone in the of pathogen associations on suture material in this group area of the purulent wound decreased (p <0.05) to 26.2 ± of animals. The studied state of the wound edges tissue in 0.2 ° C and 26.1 ± 0.1 ° C, respectively, and in the the subsequent healing periods showed that wound regeneration phase before suturing it reached the initial complications occurred more often in the control group values (29.7±0.4 and 29.4±0.3, respectively). In the than in the experimental group. So, on the 3rd day after control group, when wounds were sutured in the traditional suturing in 4 of 6 animals of the control group, purulent- way, when the sutures were tightened and the edges of the inflammatory complications (infiltrates, suppuration of the wound were tensioned, the skin temperature in the area of wound, teething) from the side of the wound were the suture line decreased by an average of 1.8 ± 0.4 ° C (p clinically observed. All animals in the control group <0.05), and in the experimental group compared to the revealed partial eruption of sutures. In 2 series of the initial ones figures on average 0.6 ± 0.1 ° C (p <0.05). The experimental group, only in 1 case out of 12 there was differences between the gradients of temperature reduction suppuration of the postoperative wound in a limited area, in the control and experiment are statistically significant requiring removal of 1 suture (rTMP <0.05). In the (p <0.05). remaining 11 observations, wound healing was of the type It was found that when suture material was passed of primary tension. through the tissue of a granulating wound, in 100% of The wound tensiometry showed that at the 3rd day cases of both experimental and control groups of animals, after suturing the experimental group the average rupture suture material was contaminated. Most often, of the scar was (M ± m) 21.7 ± 0.6 kPa in 1 series and 22.6 S.epidermidis was found in the studied material in a ± 0.5 kPa in 2- th and was respectively 1.6 and 1.7 times monoculture or in associations with S.aureus and higher (p <0.05) than in the control group (13.6 ± 1.0 kPa). E.faecium, and the average microbial number averaged in The differences between the first and second series in the the experimental group (3.4 ± 0.8) · 101 CFU / cm suture experimental group are statistically insignificant (p> 0.05). and ( 3.3 ± 0.8) 101 CFU / cm - in the control. Three days The histology confirmed the results obtained by after suturing, the number of microorganisms on the suture tensiometry at the microscopic level. Zones of primary in the experiment did not significantly increase from the alteration were found in the entire control group of animals statistic and averaged (4.1 ± 0.7) 101 CFU / cm. At the immediately after suturing of the granulating wound in a same time, in the animals of the control group there was a cross section of the suture area, the tissue was teething while reducing the wound edges and tightening the knot. Based on the analysis of numerous studies in various With a hardware method for wound suturing, the alteration industries, the authors of [2, 8] propose a generalized zone was limited only by the diameter of the thread formulation of the Stretched Grid Method (SGM), which without additional eruption of tissue. Compared with the is a kind of grid methods that allows very efficient control group of animals, large hotbeds of necrotic modeling of the behavior of equilibrium continuum by changes were not detected. At the same time, the structure representing it as an energy-equivalent grid structure. The of surrounding tissues was preserved. generalized formulation assumes the presence of external Three days after suturing by the traditional suturing influences on the system in the form of superimposed method vertical and horizontal sections around the suture elastic nodal bonds and nodal pseudo-loads, which allows threads showed signs of massive tissue destruction in the us to simulate external constrains and continuum loads, form of large necrosis fields saturated with purulent namely exudate. In this case, not only tissues bordering the 𝑘𝑘=1 𝐶𝐶𝑖𝑖𝑖𝑖 (Δ𝑋𝑋𝑖𝑖𝑖𝑖 ) − ∑𝑘𝑘=1 𝑃𝑃𝑖𝑖𝑖𝑖 Δ𝑋𝑋𝑖𝑖𝑖𝑖 ), (7) Π = ∑𝑛𝑛𝑗𝑗=1 𝐷𝐷𝑗𝑗 𝑅𝑅𝑗𝑗2 + ∑3𝑖𝑖=1(∑𝑚𝑚 2 𝑚𝑚 channel of the thread were exposed to necrosis, but also where n is the total number of mesh segments, m is the distant areas located on the line of tension of the thread. total number of mesh nodes, Rj is the length of segment The cause of these necrosis could be both the mechanical number j, D is the stiffness of the segments (assumed to be effect of the thread on the surrounding tissue during the same for all), ΔXik is the increment of the coordinate of contraction of the wound edges (direct necrosis), and the kth node along the i axis, Cik is stiffness of the elastic vascular disorders in distant areas in the form of sweets, bond in the node number k along the i-axis, Pik - external blood clots (indirect vascular necrosis). The load in the node number k along the i-axis. intracanalicular pathway of infection spread is obvious, It is assumed that soft tissue is a continuum modeled since leukocytes were found not only at the edges of the by an equivalent grid structure, which is a set of point thread channel, but also in the channel itself, as well as masses connected by springs. In [4-6], the following law between the elements of the thread. of motion was obtained for node number i of the nodal- In the granulating wound, which was sutured by spring model hardware, the cellular infiltration of stitched tissues was 𝑑𝑑 2 𝑟𝑟𝑖𝑖 𝑑𝑑𝑟𝑟𝑖𝑖 0 �𝑙𝑙𝑖𝑖,𝑗𝑗 −�𝑟𝑟𝑖𝑖 𝑟𝑟𝑗𝑗��𝑟𝑟𝑖𝑖 𝑟𝑟𝑗𝑗 significantly less compared to the control, which indicated 𝜇𝜇 = −𝛾𝛾 + ∑𝑗𝑗∈𝑁𝑁(𝑖𝑖) 𝐾𝐾𝑖𝑖,𝑗𝑗 , (8) 𝑑𝑑𝑑𝑑 2 𝑑𝑑𝑑𝑑 �𝑟𝑟𝑖𝑖 𝑟𝑟𝑗𝑗 � a weak severity of the inflammatory reaction. where μ is the mass of the point, γ is the damping Thus, the conducted experimental studies have coefficient, Ki,j is the stiffness coefficient of the spring established that the convergence of the rigid edges of the connecting the i and j points, N (i) is the set of points granulating wound using the suture in the traditional way connected to this, l0i,j is the distance between the i and j under the conditions of tensile forces, the tightening of the points in an unstressed state. sutures leads to the formation of primary hotbed of Minimization of functional (7) with respect to necrosis in the sutures and edges of the wound, unknown nodal changes in the coordinates of the points intraoperative eruption of the suture, hemorrhages and allows obtaining a relationship that differs from equation reduced vascularization of stitched tissues. This is the (8) only in the inertial term on the left equation side and reason for the decrease in local resistance of tissues to the first term on the right, which reflects the damping infection, their regenerative ability, which creates properties of the tissue model. Thus, SGM allows the unfavorable conditions for the course of the wound formation of a nodel-spring model that is in good process and thereby significantly increases the risk of agreement with those developed earlier. The advantage of purulent-inflammatory wound complications even in SGM is in solving the problem in a quasi-static setting, conditions of low microbial contamination of the wound which greatly simplifies the solution of the problem. This surface, when the number of microbial bodies does not formulation can be used in both static and dynamic exceed the critical level 105 CFU. settings. Minor modifications of relation (7), related to the In contrast to the traditional suturing method the inertial and damping components allows obtaining the closure of the granulating wound using the RС is carried corresponding equations of motion of an elastic grid with out without suture thread. The latter is used only to keep point masses, which can be solved using step-by-step the edges of the wound defect at a reduced state. This algorithms. Modeling of cuts and seams is done by achieves anatomically accurate reconstruction of tissues in removing or creating bonds between the corresponding the wound area, minimal damaging effect on stitched point masses. tissues, complete elimination of the “sawing” effect of the When using a grid structure with point masses for thread and its eruption at the moment of matching the modeling soft tissue the following problems need to be wound edges. In addition, optimal conditions are provided solved for adequate blood supply in the area of a wound defect. 1. The bonds topology. The number and arrangement of This increases the resistance of local tissues to infection bonds between the masses greatly affects the behavior and reduces the risk of wound suppurative inflammatory of the entire system. If the number of bonds is complications. insufficient or there are too many of them, the model When modeling the process of suturing a wound, an will not reflect the actual behavior of the soft tissues. important step is the selection of a soft tissue model. Some Because of these they are usually limited to a regular existing models created for different purposes were lattice structure. analyzed: finite element model [1], various point models 2. Physic-mechanical properties of grid segments. The [4-6]. In [7], the advantages and disadvantages of these problem lies in determining the bond properties representations of soft tissue for modeling were described. between the masses for the correct modeling of soft 2. The grid topology. The hexagonal regular grid tissues. structure is not enough. Therefore, additional diagonal The model for studying the process of suturing a bonds were added (see Fig. 6). wound using RC is a regular 3D grid with point masses in 3. Grid bond properties. Different elastic parameters for nodes, which represents soft tissues of various properties. bonds between point masses can be applied to Bonds between nodes between nodes have only tensile- simulate different layers of different tissue elasticity. compression rigidity and act as springs. Three main In [1] data of the tissue elasticity obtained by aspects can be distinguished that affect the consistency of vibroelastometry. These data were used to set the the real tissue model quantitative characteristics of model grid correctly. 1. Nodes of regular grid. Different masses of nodes model different layers of tissue that have different density. Fig. 6. 3D grid model of soft tissue To simulate the process of wound suturing it is The approach of the wound edges by RC is necessary to simulate an incision of the desired size and schematically shown in Fig. 7. and consists of the shape. In our grid tissue model this can be done by following steps: eliminating the bonds between the corresponding nodal 1. The intrusion of special curved spokes into the tissue. masses. The cut is formed automatically due to the tension 2. Straightening spokes. in the tissue itself. 3. Converging of the edges of the wound with the help of branches on the spokes. Fig. 7. Converging the wound edges by RC In order to simulate the converging of the wound edges The knowledge obtained on the basis of this the corresponding nodes in the regular grid are declared to mathematical model of wound closure by various RC belong to spokes or branches. In this case, all connections options allows optimizing the constructive part of devices with these nodes are saved. Next, you need to set the for their more effective practical application. trajectory and speed of these nodes. Thus, the deformation An analysis of patient’s treatment with granulating of tissues during the straightening of spokes can be wounds showed that the use of RС with perpendicular determined by comparing the geometry of the undeformed holding of spokes and needles can lead to cosmetic defects and deformed grid, taking into account the physical and due to the frequency of purulent-inflammatory mechanical properties of the grid segments. complications with overall good and satisfactory healing. This was confirmed by our research in the mathematical modeling of the process of suturing soft tissue wounds. [7] Popov, E.V. Metod natyanutyh setok v zadachah Significantly fewer complications were observed when geometricheskogo modelirovaniya: diss. d-ra tekhn. using the RC with parallel edges of the wound using nauk. - Nizhnij Novgorod: NNGASU, 2001. -350s. curved knitting needles (22.6% and 11.8%, respectively). [8] Svetuhin, A.M. Etiopatogeneticheskie principy Purulent-inflammatory complications developed in 17.1% hirurgicheskogo lecheniya gnojnyh ran / A.M. with hardware and in 59% of cases with the traditional Svetuhin, V.M. Matasov, V.G. Istratov i dr.// method of suturing (p <0.05). Hirurgiya, - 1999.-№ 1.- S. 9-11. The hardware application to the treatment of abdominal hernias reduced the number of postoperative About the authors wound complications from 29.1 to 10.3% (p <0.001), the Izmailov Sergey G., MD, professor, State Clinical Hospital number of complications from the bronchopulmonary and No. 35, Nizhny Novgorod. E-mail: izi28082009@yandex.ru cardiovascular systems from 11.4 to 4% (p <0.005), the Rotkov Andrey I., candidate of medical sciences, associate number of relapses from 15.8 to 1.9% (p <0.001), which professor, State Clinical Hospital No. 35, Nizhny Novgorod. E- can primarily be explained by a decrease in the trauma of mail: 3959400@mail.ru stitched tissues and the reliability of closing a wound Beschastnov Vladimir V., MD, Associate Professor, State defect. Clinical Hospital No. 35, Nizhny Novgorod. E-mail: vvb748@mail.ru 3. Conclusion Rotkov Sergey I., Doctor of Technical Sciences, Professor, Nizhny Novgorod State University of Architecture and Civil The wound edges convergence is a preparatory Engineering, Nizhny Novgorod. E-mail: rotkov@nngasu.ru operation for suturing. However, in such a formulation it Popov Evgeny V., Doctor of Technical Sciences, Professor, is already possible to give not only a qualitative, but also Nizhny Novgorod State University of Architecture and Civil a quantitative assessment of the clinical efficacy of Engineering, Nizhny Novgorod. E-mail: popov- 4487@yandex.ru different RC constructs. To do this, it is necessary to Lukoyanychev Egor E., candidate of medical sciences, develop an algorithm for assessing the damage that tissue associate professor, State Clinical Hospital No. 35, Nizhny receives when various wound devices are applied to it. Novgorod. E-mail: egor-lukoyanychev@yandex.ru The next step in modeling should be the wound suturing in the state after applying the RC. The developed mathematical model can be used for subsequent optimization of wound suturing technology in a clinical setting. The developed mathematical model is applicable for studying the process of suturing a wound using RC from beginning to end. Acknowledgment The work was performed according to the RFBR grant No. 19-07-01024. Reference [1] Pisarenko, G.S. Spravochnik po soprotivleniyu materialov / G.S. Pisarenko, A.P. YAkovlev, V.V. Matveev. – Kiev: Naukova Dumka, 1975. – 704 s. [2] Feodos'ev, V.I. Soprotivlenie materialov / V.I. Feodos'ev. – M.,1970. - 544 s. [3] Chernyh, K.F. Nelinejnaya teoriya uprugosti v mashinostroitel'nyh raschetah/ K.F. CHernyh. – L.: Mashinostroenie, 1986. – 336 s. [4] Efimenko, N.A. Plasticheskaya i rekonstruktivnaya hirurgiya v lechenii ognestrel'nyh ranenij / N.A. Efimenko, A.A. Gricyuk, S.M. Rybakov i dr.// Aktual'nye problemy travmatologii i ortopedii: Materialy nauch. konf., provodimoj v ramkah mezhdunar. foruma «CHelovek i travma». – CHast' 1. Nizhnij Novgorod, 2001. – S. 149-150. [5] Izmajlov, S.G. Apparatnaya tekhnika v lechenii gnojnyh ran/ S.G. Izmajlov, V.V. Beschastnov, A.A. CHirkin, A.I. Rotkov i dr. - Kazan', 2007. – 92 s., ill. [6] Bazanov, K.V., Effektivnost' biomekhanicheskogo modelirovaniya abdominoplastiki v lechenii posleoperacionnyh ventral'nyh gryzh: diss.kand.med. nauk. - Nizhnij Novgorod: NGMA, 2000. – 214s.