Articles from rubric: «Mathematical modeling»
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2020 № 2 Prediction of time of transurethral holmium lithotripsy in urolitiaz’s treatment
Introduction. Rational planning of use of the operating room and the high-tech equipment used at treatment of urolithiasis requires knowledge of time spent for ablation of uric concrements which in turn consists of time interval actually of stone breaking and time spent for additional actions: survey of the place of fragmentation, movement of laser fiber to the displaced stone, changes of caliber of an ureteroscop and so forth. Now there are no methods of calculation or prediction of these intervals of time.
Purpose: to develop a way of prediction of time of fragmentation of uric stones taking into account additional expenses of
time when using a contact lithotripsy the holmium laser that on the basis of knowledge of time of operation it is rational to plan loading of the operational room and the high-tech equipment.
Materials and methods. Own results of measurements of in Vivo of the intervals of time spent for actually destruction of a uric
stone and for the auxiliary actions necessary at carrying out operation of a lithotripsy and also the general time of final fragmentation of a concrement are given in work. Fragmentation of concrements was carried out by means of rigidny and flexible urethroscop in a ureter and cup pelvis to a system. Additional irrigation of operational area by means of a needle was applied. Methods of statistical data processing and a Statistics and Machine Learning Toolbox package of the Matlab system for prediction of duration of the procedure of fragmentation of concrements a holmium lithotripter of Triple (Medoptotekh) are used.
Results. The linear regression model is offered for prediction of the general time on ablation of urinary stone which the general
time is presented in the form of the sum of time ablation for actually process of breaking, and time of additional costs of performance of auxiliary manipulations. Treat auxiliary actions: washing of field of crushing, a movement of optical fiber because of the shift of its retropulsion of a stone and a respiratory excursion, need of change of caliber of an urethroscop, repeated pass through a urethra and a ureter and so forth. Time of direct breaking of a stone is defined on the basis of the mass of a stone calculated on by the holmium laser measured at KT the volume and density, specific speed of loss of mass of a stone when breaking, energy and frequencies of impulses of a laser lithotripter. Time of additional expenses is presented in the form of the work of time of direct breaking of a stone for coefficient of additional expenses. By measurements in vivo and statistical data processing average and maximum allowed values of coefficients of additional expenses when ablations in various parts of a urinary system are received. Average values of these coefficients are 5.44±2.42 when breaking stones in cup pelvis a system a rigid ureteroscop; 3.86±1.95 when using flexible ureteroscop; 8.92±3.13 when breaking stones in various part of a ureter and 1.36±0.62 when using for additional washing of field of breaking by means of a needle.
Conclusion. The obtained data of pilot studies of during of crushing of uric concrements and intervals of time of additional costs of carrying out the auxiliary manipulations which are carried out along with the procedure actually of crushing of stones and also the way of additional washing of a cavity of crushing allowing to reduce time of additional expenses when crushing by 4 times is offered. The mathematical model for calculation of duration of the total costs of crushing allowing to predict more precisely duration of operation of a contact lithotripsy the holmium laser in general is developed. -
2018 № itm The Network model for Estimation of duration laser contact lithotripsy
The comparative characteristic of network models with random parameters is executed. It is offered to use as model of the lithotripsy procedure the stochastic network model. In article is examine the assessments questions of laser lithotripsy duration time. The original network alternative stochastic model of the procedure of a laser contact lithotripsy allowing to realize assessment of operation length of a laser lithotripsy in general is developed. It is shown that frequency curve of runtime of stages of operation is described by beta-distribution. Are given the mathematical expressions allowing to calculate optimistic, pessimistic and most probable assessment of duration of separate stages of a lithotripsy and operation in general
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2018 № itm Diagnosis and treatment of liver failure: multiset model
The paper considers the use of multisets or sets with repeating elements in the modeling of diagnosis and treatment of hepatic failure, taking into account various forms of the disease, the stages of its course, variants of therapeutic tactics depending on the form of liver failure. Models “Patient with hepatic failure“ and “Treatment of hepatic failure“ allow to provide an effective selection of personalized medical tactics.
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2018 № 4 Development of an algorithm for automated wavelet analysis of clinical oncology dispensary registry data at the regional level
This article describes the issue of overload of the registry on the example of the state budgetary health care institution clinical oncological dispensary No. 1 of the Ministry of health of the Krasnodar territory. Maintaining a schedule of appointments and appointments to the doctor in electronic form plays a key role in healthcare information systems as the most widespread and socially oriented medical service. The aim of the study is to develop an algorithm for automated wavelet analysis of data on the work of the registry. To achieve this goal, there are used the methods of wavelet analysis of information that have been applied in practice and can be reused in other medical institutions. It is possible to create an optimal schedule of work of registrars and as a result reduce the waiting time of patients at the reception, by automating the process of analysis of data on patient’s appointments that contained in the healthcare information system. The reduction in waiting time should increase patient satisfaction and improve the overall impression of the health facility. For each institution, the workload schedule of the registry will be different and may change over time. It follows that the analysis and optimization of work schedules should be carried out regularly and automatically.
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2018 № 3 Simulation modeling of the emergency area in a multidisciplinary emergency department
Actual problems of Emergency Department’s admission point organization and its investigation with simulation modeling were considered in paper.
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2018 № 3 Construction of fuzzy inference rules for diagnostics of instability of atherosclerostic plaque
The problem of forming fuzzy inference rules based on methods for partitioning quantitative feature values describing a class objects into disjoint intervals is considered. The methodology of using these rules for the diagnosis of atherosclerotic plaque instability is described
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2018 № 2 Reduction of the features space when processing multiple drug resistance of mycobacteria in patients with pulmonary tuberculosis
Early detection of the presence of multiple drug resistance of mycobacteria to essential antituberculosis drugs is relevant in the diagnosis and treatment of pulmonary tuberculosis. Mathematical methods and information technologies can help solving this medical problem by excluding those not informative features from the set of features (indicators of the patient’s health status). The Kulbak method is used for assessment of informative features of the multiple drug resistance. The selection of features is made by the sorted (by informativeness) list of features through evaluating the quality of classification performed by ROC analysis. The performed researches showed that 6 features selected from the suggested method (out of 26 considered) allow to select patients with high probability of not having multiple drug resistance, which creates conditions for their adequate treatment.
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2018 № 2 Simulation of the admission department of the city hospital: building a digital model and optimizing the activity
The possibility of optimizing the activity of the admission department of the city hospital is shown on the basis of the results of simulation modeling. The use of FlexSim Healthcare software allows obtaining characteristics of medical care that are inaccessible to other methods of analysis. The digital model of activity of the medical organization allows to localize «bottlenecks», leading to the formation of queues. The problems of obtaining the data necessary for constructing models are considered. Virtual experiments help to find options for optimizing activities, while replacing longrunning and costly management experiments using real resources. The detailed description of the processes of medical care with the timing of its individual stages will help to obtain more accurate results of simulation. Simulation of medical care can be one of the stages of the introduction of «lean manufacturing» in health practice.
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2018 № 2 Model of the patient with liver failure for use in meta-analysis, focused on selection of adequate therapy
The features of classification of liver failure in various regions of the world are analyzed. Methods for constructing mathematical models of patients and diseases have been studied. A settheoretical model of the complex clinical presentation of a patient with hepatic insufficiency, used in the process of metaanalysis, is proposed. The model takes into account the etiology and features of the disease course, as well as regional variants of classification of hepatic insufficiency in Russia, Europe, America and Asia. An example of conducting a metaanalysis according to specified criteria is given
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2015 № 2 Mathematical model of the transfer of patient's states in the process of treatment on the basis of the neuronet approach
The model of patient's states is described, which permits to determine any his goal state namely the treatment outcome knowing only severity of a disease, and in this regard the proposed model is universal. During the imitation of the treatment processes the neuronet model has been made. The modeling result is the sequence of the transfers of patient's state during the disease treatment in accordance with the applied medical technology.