28 research outputs found
Digital algorithms polarization-holographic 3D layered mapping of microscopic images of polymere films in polygraphic production
Scientific work presents systematized data of original experi-mental research of diagnostic efficiency of multiparametric(using polarizing mathematical fourth order β Stokes vector)layer-by-layer three-dimensional laser Stokes-polarimetriccoordinate digital mapping of a series of microscopic polariza-tion-filtered images of coordinate distributions of random va-lues of parameters of azimuth (the plane angle of oscillation of the laser electric intensity vector) and ellipticity (eccen-tricity of the laser coherent electric intensity vector trajec-tory) of a set of optically anisotropic diffuse samples, in which multiple interaction of laser radiation and op-tical inhomogeneities takes place.Π ΡΠΎΠ±ΠΎΡΡ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½ΠΎ ΡΠΈΡΡΠ΅ΠΌΠ°ΡΠΈΠ·ΠΎΠ²Π°Π½Ρ Π΄Π°Π½Ρ ΠΎΡΠΈΠ³ΡΠ½Π°Π»ΡΠ½ΠΈΡ
Π΅ΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΠΈΡ
Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Ρ Π΄ΡΠ°Π³Π½ΠΎΡΡΠΈΡΠ½ΠΎΡ Π΅ΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ Π±Π°Π³Π°ΡΠΎΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ½ΠΎΠ³ΠΎ (Π· Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½ΡΠΌ ΠΏΠΎΠ»ΡΡΠΈΠ·Π°ΡΡΠΉΠ½ΠΎΠ³ΠΎΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΡΠ²Π΅ΡΡΠΎΠ³ΠΎ ΠΏΠΎΡΡΠ΄ΠΊΡ β Π²Π΅ΠΊΡΠΎΡΠ° Π‘ΡΠΎΠΊΡΠ°) ΠΏΠΎ-ΡΠ°ΡΠΎΠ²ΠΎΠ³ΠΎ ΡΡΠΈΠ²ΠΈΠΌΡΡΠ½ΠΎΠ³ΠΎ Π»Π°Π·Π΅ΡΠ½ΠΎΠ³ΠΎ ΡΡΠΎΠΊΡΠΎΠ²ΠΎ-ΠΏΠΎΠ»ΡΡΠΈΠΌΠ΅-ΡΡΠΈΡΠ½ΠΎΠ³ΠΎ ΡΠΈΡΡΠΎΠ²ΠΎΠ³ΠΎ Π²ΡΠ΄ΠΎΠ±ΡΠ°ΠΆΠ΅Π½Π½Ρ ΡΠ΅ΡΡΡ ΠΌΡΠΊΡΠΎΡΠΊΠΎΠΏΡΡΠ½ΠΈΡ
Π·ΠΎΠ±ΡΠ°ΠΆΠ΅Π½Ρ ΡΠ· ΠΏΠΎΠ»ΡΡΠΈΠ·Π°ΡΡΠΉΠ½ΠΈΠΌ ΡΡΠ»ΡΡΡΠΎΠΌ, ΠΊΠΎΠΎΡΠ΄ΠΈΠ½Π°ΡΠ½ΠΈ Ρ
ΡΠΎΠ·ΠΏΠΎΠ΄ΡΠ»ΡΠ² Π²ΠΈΠΏΠ°Π΄ΠΊΠΎΠ²ΠΈΡ
Π·Π½Π°ΡΠ΅Π½Ρ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡΠ² Π°Π·ΠΈΠΌΡΡΠ°(ΠΏΠ»ΠΎΡΠΊΠΎΠ³ΠΎ ΠΊΡΡΠ° ΠΊΠΎΠ»ΠΈΠ²Π°Π½Ρ Π²Π΅ΠΊΡΠΎΡΡ Π΅Π»Π΅ΠΊΡΡΠΈΡΠ½ΠΎΡ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΎΡΡΡ Π»Π°Π·Π΅ΡΠ°) ΡΠ° Π΅Π»ΡΠΏΡΠΈΡΠ½ΠΎΡΡΡ (Π΅ΠΊΡΡΠ΅Π½ΡΡΠΈΡΠΈΡΠ΅ΡΡ ΡΡΠ°ΡΠΊΡΠΎΡΡΡ ΠΊΠΎΠ³Π΅ΡΠ΅Π½ΡΠ½ΠΎΠ³ΠΎ Π²Π΅ΠΊΡΠΎΡΡ Π΅Π»Π΅ΠΊΡΡΠΈΡΠ½ΠΎΡ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΎΡΡΡ Π»Π°Π·Π΅ΡΠ°) Π½Π°Π±ΠΎΡΡ ΠΎΠΏΡΠΈΡΠ½ΠΎ Π°Π½ΡΠ·ΠΎΡΡΠΎΠΏΠ½ΠΈΡ
Π΄ΠΈΡΡΠ·Π½ΠΈΡ
Π·ΡΠ°Π·ΠΊΡΠ², Π² ΡΠΊΠΈΡ
ΠΌΠ½ΠΎΠΆΠΈΠ½Π½Π° Π²Π·Π°ΡΠΌΠΎΠ΄ΡΡ, ΠΌΠ°Ρ ΠΌΡΡΡΠ΅ Π»Π°Π·Π΅ΡΠ½Π΅ Π²ΠΈΠΏΡΠΎΠΌΡΠ½ΡΠ²Π°Π½Π½Ρ ΡΠ° ΠΎΠΏΡΠΈΡΠ½Ρ Π½Π΅ΠΎΠ΄Π½ΠΎΡΡΠ΄Π½ΠΎΡΡΡ
Differential Mueller matrix imaging of partially depolarizing optically anisotropic biological tissues
Since recently, a number of innovative polarization-based optical imaging modalities have been introduced and extensively used in various biomedical applications, with an ultimate aim to attain the practical tool for the optical biopsy and functional characterization of biological tissues. The techniques utilize polarization properties of light and Mueller matrix mapping of microscopic images of histological sections of biological tissues or polycrystalline films of biological fluids. The main drawback of currently developed laser polarimetry approaches and Mueller matrix mapping techniques is poor reproducibility of experimental data. This is due to azimuthal dependence of polarization and ellipticity values of most matrix elements to sample orientation in respect to incidence light polarization. Current study aims to generalize the methods of laser polarimetry for diagnosis of partially depolarizing optically anisotropic biological tissues. A method of differential Mueller matrix mapping for reconstruction of linear and circular birefringence and dichroism parameter distributions of partially depolarizing layers of biological tissues of different morphological structure is introduced and practically implemented. The coordinate distributions of the value of the first-order differential matrix elements of histological sections of brain tissue with spatially structured, optically anisotropic fibrillar network, as well as of parenchymatous tissue of the rectum wall with an βisletβ polycrystalline structure are determined. Within the statistical analysis of polarization reproduced distributions of the averaged parameters of phase and amplitude anisotropy, the significant sensitivity of the statistical moments of the third and fourth orders to changes in the polycrystalline structure of partially depolarizing layers of biological tissue is observed. The differentiation of female reproductive sphere connective tissue is realized with excellent accuracy. The differential Mueller matrix mapping method for reconstruction of distributions of linear and circular birefringence and dichroism parameters of partially depolarizing layers of biological tissues of different morphological structures is proposed and substantiated. Differential diagnostics of changes in the phase (good balanced accuracy) and amplitude (excellent balanced accuracy) of the anisotropy of the partially depolarizing layers of the vagina wall tissue with prolapse of the genitals is realized. The maximum diagnostic efficiency of the first-order differential matrix method was demonstrated in comparison with the traditional methods of polarization and Mueller matrix mapping of histological sections of light-scattering biological tissues
Biomedical applications of Jones-matrix tomography to polycrystalline films of biological fluids
Algorithms for reconstruction of linear and circular birefringence-dichroism of optically thin anisotropic biological layers are presented. The technique of Jones-matrix tomography of polycrystalline films of biological fluids of various human organs has been developed and experimentally tested. The coordinate distributions of phase and amplitude anisotropy of bile films and synovial fluid taken from the knee joint are determined and statistically analyzed. Criteria (statistical moments of 3rd and 4th orders) of differential diagnostics of early stages of cholelithiasis and septic arthritis of the knee joint with excellent balanced accuracy were determined. Data on the diagnostic efficiency of the Jones-matrix tomography method for polycrystalline plasma (liver disease), urine (albuminuria) and cytological smears (cervical cancer) are presented
Differential Mueller matrix imaging of partially depolarizing optically anisotropic biological tissues
Since recently, a number of innovative polarization-based optical imaging modalities have been introduced and extensively used in various biomedical applications, with an ultimate aim to attain the practical tool for the optical biopsy and functional characterization of biological tissues. The techniques utilize polarization properties of light and Mueller matrix mapping of microscopic imagesof histological sectionsof biological tissues or polycrystalline films ofbiologicalfluids. The main drawback of currently developed laser polarimetry approaches and Mueller matrix mapping techniques is poor reproducibility of experi-mental data. This is due to azimuthal dependence of polarization and ellipticity values of most matrix elements to sample orientation in respect to incidence light polarization. Current study aims to generalize the methods of laser polarimetry for
diagnosis of partially depolarizing optically anisotropic biological tissues. A method of differential Mueller matrix mapping for reconstruction of linear and circular birefringence and dichroism parameter distributions of partially depolarizing layers of biological tissues of different morphological structure is introduced and practically implemented. The coordinate distributions of the value of the first-order differential matrix elements of histological sections of brain tissue with spatially structured, optically anisotropic fibrillar network, as well as of parenchymatous tissue of the rectum wall with an βisletβ polycrystalline structure are determined. Within the statistical analysis of polarization reproduced distributions of the averaged parameters of phase and amplitude anisotropy, the significant sensitivity of the statistical moments of the third and fourth orders to changes in the polycrystalline structure of partially depolarizing layers of biological tissue is observed. The differentiation of female reproductive sphere connective tissue is realized with excellent accuracy. The differential Mueller matrix mapping method for reconstruction of distributions of linear and circular birefringence and dichroism parameters of partially depolarizing layers of biological tissues of different morphological structures is proposed and substantiated. Differential diagnostics of changes in the phase (good balanced accuracy) and amplitude (excellent balanced accuracy) of the anisotropy of the partially depolarizing layers of the vagina wall tissue with prolapse of the genital sisrealized. The maximum diagnostic efficiency of the first-order differential matrix method was demonstrated in comparison with the traditional methods of polarization and Mueller matrix mapping of histological sections of light-scattering biological tissues
Isomorphic diffuse glioma is a morphologically and molecularly distinct tumour entity with recurrent gene fusions of MYBL1 or MYB and a benign disease course
The βisomorphic subtype of diffuse astrocytomaβ was identified histologically in 2004 as a supratentorial, highly differentiated glioma with low cellularity, low proliferation and focal diffuse brain infiltration. Patients typically had seizures since childhood and all were operated on as adults. To define the position of these lesions among brain tumours, we histologically, molecularly and clinically analysed 26 histologically prototypical isomorphic diffuse gliomas. Immunohistochemically, they were GFAP-positive, MAP2-, OLIG2- and CD34-negative, nuclear ATRX-expression was retained and proliferation was low. All 24 cases sequenced were IDH-wildtype. In cluster analyses of DNA methylation data, isomorphic diffuse gliomas formed a group clearly distinct from other glial/glio-neuronal brain tumours and normal hemispheric tissue, most closely related to paediatric MYB/MYBL1-altered diffuse astrocytomas and angiocentric gliomas. Half of the isomorphic diffuse gliomas had copy number alterations of MYBL1 or MYB (13/25, 52%). Gene fusions of MYBL1 or MYB with various gene partners were identified in 11/22 (50%) and were associated with an increased RNA-expression of the respective MYB-family gene. Integrating copy number alterations and available RNA sequencing data, 20/26 (77%) of isomorphic diffuse gliomas demonstrated MYBL1 (54%) or MYB (23%) alterations. Clinically, 89% of patients were seizure-free after surgery and all had a good outcome. In summary, we here define a distinct benign tumour class belonging to the family of MYB/MYBL1-altered gliomas. Isomorphic diffuse glioma occurs both in children and adults, has a concise morphology, frequent MYBL1 and MYB alterations and a specific DNA methylation profile. As an exclusively histological diagnosis may be very challenging and as paediatric MYB/MYBL1-altered diffuse astrocytomas may have the same gene fusions, we consider DNA methylation profiling very helpful for their identification
DNA methylation-based classification of central nervous system tumours.
Accurate pathological diagnosis is crucial for optimal management of patients with cancer. For the approximately 100 known tumour types of the central nervous system, standardization of the diagnostic process has been shown to be particularly challenging-with substantial inter-observer variability in the histopathological diagnosis of many tumour types. Here we present a comprehensive approach for the DNA methylation-based classification of central nervous system tumours across all entities and age groups, and demonstrate its application in a routine diagnostic setting. We show that the availability of this method may have a substantial impact on diagnostic precision compared to standard methods, resulting in a change of diagnosis in up to 12% of prospective cases. For broader accessibility, we have designed a free online classifier tool, the use of which does not require any additional onsite data processing. Our results provide a blueprint for the generation of machine-learning-based tumour classifiers across other cancer entities, with the potential to fundamentally transform tumour pathology
ΠΠΏΡΠΈΡΠ½Π° ΡΠΏΠ΅ΠΊΡΡΠΎΡΠΊΠΎΠΏΡΡ Π² ΠΌΠ΅Π΄ΠΈΡΠ½ΡΠΉ Π΄ΡΠ°Π³Π½ΠΎΡΡΠΈΡΡ
In this review we consider the possibility of optical spectroscopy techniques, namely: optical tomography,Β optical coherent tomography, polarization-sensitive optical coherent tomography, Raman spectroscopy and photoacousticΒ tomography. The physical basis of optical diagnostic techniques is the interaction of light with matter, allowing of obtainingΒ structural, biochemical, morphological and physiological information as a result of absorption, scattering, reflection of electromagneticΒ radiation in the optical range. The advantages of these methods, such as non-invasiveness, absence of side effects,Β contactlessness, high sensitivity, and high resolution are keys to their success in medical diagnostics.Π Π΄Π°Π½Π½ΠΎΠΌ ΠΎΠ±Π·ΠΎΡΠ΅ ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½Ρ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠΈ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ² ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΏΠ΅ΠΊΡΡΠΎΡΠΊΠΎΠΏΠΈΠΈ, Π° ΠΈΠΌΠ΅Π½Π½ΠΎ: ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΎΠΌΠΎΠ³ΡΠ°ΡΠΈΠΈ, ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΊΠΎΠ³Π΅ΡΠ΅Π½ΡΠ½ΠΎΠΉ ΡΠΎΠΌΠΎΠ³ΡΠ°ΡΠΈΠΈ, ΠΏΠΎΠ»ΡΡΠΈΠ·Π°ΡΠΈΠΎΠ½Π½ΠΎ ΡΡΠ²ΡΡΠ²ΠΈΡΠ΅Π»ΡΠ½ΠΎΠΉ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΊΠΎΠ³Π΅ΡΠ΅Π½ΡΠ½ΠΎΠΉ ΡΠΎΠΌΠΎΠ³ΡΠ°ΡΠΈΠΈ, Π Π°ΠΌΠ°Π½ΠΎΠ²ΡΠΊΠΎΠΉ ΡΠΏΠ΅ΠΊΡΡΠΎΡΠΊΠΎΠΏΠΈΠΈ ΠΈ ΡΠΎΡΠΎΠ°ΠΊΡΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΎΠΌΠΎΠ³ΡΠ°ΡΠΈΠΈ. Π€ΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΡΠ½ΠΎΠ²ΠΎΠΉ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΈΡ
Π΄ΠΈΠ°Π³Π½ΠΎΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ² ΡΠ²Π»ΡΠ΅ΡΡΡ Π²Π·Π°ΠΈΠΌΠΎΠ΄Π΅ΠΉΡΡΠ²ΠΈΠ΅ ΡΠ²Π΅ΡΠ° Ρ Π²Π΅ΡΠ΅ΡΡΠ²ΠΎΠΌ, Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΡΠ΅Π³ΠΎ ΡΡΠ°Π»ΠΎ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΡΠΌ ΠΏΠΎΠ»ΡΡΠ°ΡΡΒ ΡΡΡΡΠΊΡΡΡΠ½ΡΡ, Π±ΠΈΠΎΡ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΡΡ, ΠΌΠΎΡΡΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΡΡ ΠΈ ΡΠΈΠ·ΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΡΡ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΡ ΠΊΠ°ΠΊ ΡΠ΅Π·ΡΠ»ΡΡΠ°Ρ ΠΏΠΎΠ³Π»ΠΎΡΠ΅Π½ΠΈΡ,Β ΡΠ°ΡΡΠ΅ΡΠ½ΠΈΡ, ΠΎΡΡΠ°ΠΆΠ΅Π½ΠΈΡ ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΠΎΠ³ΠΎ ΠΈΠ·Π»ΡΡΠ΅Π½ΠΈΡ ΠΎΠΏΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π΄ΠΈΠ°ΠΏΠ°Π·ΠΎΠ½Π°. ΠΡΠ΅ΠΈΠΌΡΡΠ΅ΡΡΠ²Π° ΡΡΠΈΡ
ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ²Β (Π½Π΅ΠΈΠ½Π²Π°Π·ΠΈΠ²Π½ΠΎΡΡΡ, ΠΎΡΡΡΡΡΡΠ²ΠΈΠ΅ ΠΏΠΎΠ±ΠΎΡΠ½ΡΡ
ΡΡΡΠ΅ΠΊΡΠΎΠ², Π±Π΅ΡΠΊΠΎΠ½ΡΠ°ΠΊΡΠ½ΠΎΡΡΡ, Π²ΡΡΠΎΠΊΠΈΠ΅ ΡΡΠ²ΡΡΠ²ΠΈΡΠ΅Π»ΡΠ½ΠΎΡΡΡ ΠΈ ΡΠ°Π·ΡΠ΅ΡΠ΅Π½ΠΈΠ΅) ΡΡΠ°Π»ΠΈΒ Π·Π°Π»ΠΎΠ³ΠΎΠΌ ΠΈΡ
ΡΡΠΏΠ΅Ρ
Π° Π² ΠΌΠ΅Π΄ΠΈΡΠΈΠ½ΡΠΊΠΎΠΉ Π΄ΠΈΠ°Π³Π½ΠΎΡΡΠΈΠΊΠ΅.Π£ Π΄Π°Π½ΠΎΠΌΡ ΠΎΠ³Π»ΡΠ΄Ρ ΡΠΎΠ·Π³Π»ΡΠ½ΡΡΠΎ ΠΌΠΎΠΆΠ»ΠΈΠ²ΠΎΡΡΡΒ ΠΎΠΊΡΠ΅ΠΌΠΈΡ
ΠΌΠ΅ΡΠΎΠ΄ΡΠ² ΠΎΠΏΡΠΈΡΠ½ΠΎΡ ΡΠΏΠ΅ΠΊΡΡΠΎΡΠΊΠΎΠΏΡΡ, Π° ΡΠ°ΠΌΠ΅: ΠΎΠΏΡΠΈΡΠ½ΠΎΡ ΡΠΎΠΌΠΎΠ³ΡΠ°ΡΡΡ, ΠΎΠΏΡΠΈΡΠ½ΠΎΡ ΠΊΠΎΠ³Π΅ΡΠ΅Π½ΡΠ½ΠΎΡ ΡΠΎΠΌΠΎΠ³ΡΠ°ΡΡΡ, ΠΏΠΎΠ»ΡΡΠΈΠ·Π°ΡΡΠΉΠ½ΠΎ ΡΡΡΠ»ΠΈΠ²ΠΎΡ ΠΎΠΏΡΠΈΡΠ½ΠΎΡ ΠΊΠΎΠ³Π΅ΡΠ΅Π½ΡΠ½ΠΎΡ ΡΠΎΠΌΠΎΠ³ΡΠ°ΡΡΡ,Β Π Π°ΠΌΠ°Π½ΡΠ²ΡΡΠΊΠΎΡ ΡΠΏΠ΅ΠΊΡΡΠΎΡΠΊΠΎΠΏΡΡ ΡΠ° ΡΠΎΡΠΎΠ°ΠΊΡΡΡΠΈΡΠ½ΠΎΡ ΡΠΎΠΌΠΎΠ³ΡΠ°ΡΡΡ. Π€ΡΠ·ΠΈΡΠ½ΠΎΡ ΠΎΡΠ½ΠΎΠ²ΠΎΡ ΠΎΠΏΡΠΈΡΠ½ΠΈΡ
Π΄ΡΠ°Π³Π½ΠΎΡΡΠΈΡΠ½ΠΈΡ
ΠΌΠ΅ΡΠΎΠ΄ΡΠ² Ρ Π²Π·Π°ΡΠΌΠΎΠ΄ΡΡ ΡΠ²ΡΡΠ»Π° Π· ΡΠ΅ΡΠΎΠ²ΠΈΠ½ΠΎΡ, Π½Π° ΠΎΡΠ½ΠΎΠ²Ρ ΡΠΎΠ³ΠΎ ΡΡΠ°Π»ΠΎΒ ΠΌΠΎΠΆΠ»ΠΈΠ²ΠΈΠΌ ΠΎΡΡΠΈΠΌΡΠ²Π°ΡΠΈ ΡΡΡΡΠΊΡΡΡΠ½Ρ, Π±ΡΠΎΡ
ΡΠΌΡΡΠ½Ρ, ΠΌΠΎΡΡΠΎΠ»ΠΎΠ³ΡΡΠ½Ρ ΡΠ° ΡΡΠ·ΡΠΎΠ»ΠΎΠ³ΡΡΠ½Ρ ΡΠ½ΡΠΎΡΠΌΠ°ΡΡΡ ΡΠΊ ΡΠ΅Π·ΡΠ»ΡΡΠ°Ρ ΠΏΠΎΠ³Π»ΠΈΠ½Π°Π½Π½Ρ, ΡΠΎΠ·ΡΡΡΠ²Π°Π½Π½Ρ, Π²ΡΠ΄Π±ΠΈΠ²Π°Π½Π½Ρ Π΅Π»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΡΡΠ½ΠΎΠ³ΠΎΒ Π²ΠΈΠΏΡΠΎΠΌΡΠ½ΡΠ²Π°Π½Π½Ρ ΠΎΠΏΡΠΈΡΠ½ΠΎΠ³ΠΎ Π΄ΡΠ°ΠΏΠ°Π·ΠΎΠ½Ρ. ΠΠ΅ΡΠ΅Π²Π°Π³ΠΈ ΡΠΈΡ
ΠΌΠ΅ΡΠΎΠ΄ΡΠ² (Π±Π΅Π·ΠΊΠΎΠ½ΡΠ°ΠΊΡΠ½ΡΡΡΡ, Π²ΠΈΡΠΎΠΊΠ°Β ΡΡΡΠ»ΠΈΠ²ΡΡΡΡ ΡΠ° ΡΠΎΠ·Π΄ΡΠ»ΡΠ½Π° Π·Π΄Π°ΡΠ½ΡΡΡΡ, Π½Π΅ΡΠ½Π²Π°Π·ΠΈΠ²Π½ΡΡΡΡ, Π²ΡΠ΄ΡΡΡΠ½ΡΡΡΡ ΠΏΠΎΠ±ΡΡΠ½ΠΈΡ
Π΅ΡΠ΅ΠΊΡΡΠ²) ΡΡΠ°Π»ΠΈ Π·Π°ΠΏΠΎΡΡΠΊΠΎΡ ΡΡ
ΡΡΠΏΡΡ
Ρ Π²Β ΠΌΠ΅Π΄ΠΈΡΠ½ΡΠΉ Π΄ΡΠ°Π³Π½ΠΎΡΡΠΈΡΡ
ΠΠΠΠΠΠΠΠΠ¦ΠΠΠΠ Π’ΠΠΠ‘Π’ΠΠΠΠ¨ΠΠΠΠ ΠΠΠΠ‘Π’ΠΠΠΠΠ
The purpose of work is to present the own method of invagination of transverso-sigmoanastomosis in colon cancer. To review foreign literature concerning the use of these types of operations for the last 5 years.Material and methods. The types of anastomoses following the left-side gemicolonectomy have been analyzed at the Chernivtsi Clinical Oncology Center for the last 5 years (from January 1, 2012 to December 31, 2017). The articles and abstracts in English-language foreign journals for the last 5 years concerning the invagination of large intestinal anastomoses, by keywords, have been analyzed.Results. The original method of invagination transversosigmoanastomosis Β end-to-side at tumors of the left side of the Β colon has been described. The technique of operation Stump of the sigmoid intestine is closed by the blanket uninterrupted suture and is invaginated by purse-string suture.Β Β Β Β Β Β Β Β Β Uninterrupted seromuscular suture between the transverse colon and sigmoid one is placed 5-6 mm below the closed stump of the sigmoid intestine. 2 mm below this suture the wall of the sigmoid intestine is dissected in transversal direction and transverse colon stump is invaginated into sigmoid intestine lumen. Then the walls of two guts are united again by uninterrupted suture. Anterior and posterior layers of interrupted seromuscular sutures are placed. In general 5-6 mm of the seromuscular coats of both organs are captures into uninterrupted and interrupted sutures.Β Πperations were performed in 9 patients. Operations are technically simple, complications were not observed.Conclusion. The transversosigmoanastomosis of invagination is modeled from end to side according to the technique developed by us - a safe and simple surgical intervention. Anastomosis is applied below the stump of the sigmoid colon in the zones of guaranteed blood supply.Π¦Π΅Π»Ρ ΡΠ°Π±ΠΎΡΡ - ΠΏΡΠ΅Π΄ΡΡΠ°Π²ΠΈΡΡ ΡΠΎΠ±ΡΡΠ²Π΅Π½Π½ΡΡ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΡ ΠΈΠ½Π²Π°Π³ΠΈΠ½Π°ΡΠΈΠΉΠ½ΠΎΠ³ΠΎ ΡΡΠ°Π½ΡΠ²Π΅ΡΠ·ΠΎ-ΡΠΈΠ³ΠΌΠΎΠ°Π½Π°ΡΡΠΎΠΌΠΎΠ·Π° ΠΏΡΠΈ ΡΠ°ΠΊΠ΅ ΡΠΎΠ»ΡΡΠΎΠΉ ΠΊΠΈΡΠΊΠΈ. ΠΡΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°ΡΡ Π·Π°ΡΡΠ±Π΅ΠΆΠ½ΡΡ Π»ΠΈΡΠ΅ΡΠ°ΡΡΡΡ ΠΏΠΎ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΡ ΡΠ°ΠΊΠΈΡ
ΡΠΈΠΏΠΎΠ² ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠΉ Π·Π° ΠΏΠΎΡΠ»Π΅Π΄Π½ΠΈΠ΅ 5 Π»Π΅Ρ.ΠΠ°ΡΠ΅ΡΠΈΠ°Π» ΠΈ ΠΌΠ΅ΡΠΎΠ΄Ρ. ΠΡΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Ρ ΡΠΈΠΏΡ Π°Π½Π°ΡΡΠΎΠΌΠΎΠ·ΠΎΠ² ΠΏΠΎΡΠ»Π΅ Π»Π΅Π²ΠΎΡΡΠΎΡΠΎΠ½Π½Π΅ΠΉ Π³Π΅ΠΌΠΈΠΊΠΎΠ»ΠΎΠ½ΡΠΊΡΠΎΠΌΠΈΡ Π² Π§Π΅ΡΠ½ΠΎΠ²ΠΈΡΠΊΠΎΠΌ ΠΊΠ»ΠΈΠ½ΠΈΡΠ΅ΡΠΊΠΎΠΌ ΠΎΠ½ΠΊΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΌ Π΄ΠΈΡΠΏΠ°Π½ΡΠ΅ΡΠ΅ Π·Π° ΠΏΠΎΡΠ»Π΅Π΄Π½ΠΈΠ΅ 5 Π»Π΅Ρ (Ρ 1 ΡΠ½Π²Π°ΡΡ 2012 ΠΏΠΎ 31 Π΄Π΅ΠΊΠ°Π±ΡΡ 2017 Π³ΠΎΠ΄Π°). ΠΡΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Ρ ΡΡΠ°ΡΡΠΈ ΠΈ ΡΠ΅Π·ΠΈΡΡ Π² Π°Π½Π³Π»ΠΎΡΠ·ΡΡΠ½ΡΡ
Π·Π°ΡΡΠ±Π΅ΠΆΠ½ΡΡ
ΠΆΡΡΠ½Π°Π»Π°Ρ
Π·Π° ΠΏΠΎΡΠ»Π΅Π΄Π½ΠΈΠ΅ 5 Π»Π΅Ρ, ΠΊΠ°ΡΠ°ΡΡΠΈΠ΅ΡΡ ΠΈΠ½Π²Π°Π³ΠΈΠ½Π°ΡΠΈΠΉΠ½ΠΈΡ
ΡΠΎΠ»ΡΡΠΎ ΠΊΠΈΡΠ΅ΡΠ½ΡΡ
Π°Π½Π°ΡΡΠΎΠΌΠΎΠ·ΠΎΠ², ΠΏΠΎ ΠΊΠ»ΡΡΠ΅Π²ΡΠΌ ΡΠ»ΠΎΠ²Π°ΠΌ.Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ. ΠΠΏΠΈΡΠ°Π½ ΠΎΡΠΈΠ³ΠΈΠ½Π°Π»ΡΠ½ΡΠΉ ΡΠΏΠΎΡΠΎΠ± ΠΈΠ½Π²Π°Π³ΠΈΠ½Π°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΡΡΠ°Π½ΡΠ²Π΅ΡΠ·ΠΎΡΠΈΠ³ΠΌΠΎΠ°Π½Π°ΡΡΠΎΠΌΠΎΠ·Π° ΠΊΠΎΠ½Π΅Ρ Π² Π±ΠΎΠΊ ΠΏΡΠΈ ΠΎΠΏΡΡ
ΠΎΠ»ΡΡ
Π»Π΅Π²ΠΎΠΉ ΠΏΠΎΠ»ΠΎΠ²ΠΈΠ½Ρ ΡΠΎΠ»ΡΡΠΎΠΉ ΠΊΠΈΡΠΊΠΈ. ΠΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠΈ ΠΡΠ»ΡΡΡ ΡΠΈΠ³ΠΌΠΎΠ²ΠΈΠ΄Π½ΠΎΠΉ ΠΊΠΈΡΠΊΠΈ Π·Π°ΠΊΡΡΠ²Π°Π΅ΡΡΡ ΠΎΠ±Π²ΠΈΠ²Π½ΡΠΌ Π½Π΅ΠΏΡΠ΅ΡΡΠ²Π½ΡΠΌ ΡΠ²ΠΎΠΌ, ΠΊΠΎΡΠΎΡΡΠΉ ΠΏΠΎΠ³ΡΡΠΆΠ°Π΅ΡΡΡ ΠΊΠΈΡΠ΅ΡΠ½ΡΠΌ ΡΠ²ΠΎΠΌ. ΠΠ° 5-6 ΡΠΌ Π½ΠΈΠΆΠ΅ Π·Π°ΠΊΡΡΡΠΎΠΉ ΠΊΡΠ»ΡΡΠΈ ΡΠΈΠ³ΠΌΠΎΠ²ΠΈΠ΄Π½ΠΎΠΉ ΠΊΠΈΡΠΊΠΈ Π½Π°ΠΊΠ»Π°Π΄ΡΠ²Π°Π΅ΡΡΡ Π½Π΅ΠΏΡΠ΅ΡΡΠ²Π½ΡΠΉ ΡΠ΅ΡΠΎΠ·Π½ΠΎΠΌΡΡΠ΅ΡΠ½ΡΠΉ ΡΠΎΠ² ΠΌΠ΅ΠΆΠ΄Ρ ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎΠΎΠ±ΠΎΠ΄ΠΎΡΠ½ΠΎΠΉ ΠΊΠΈΡΠΊΠΎΠΉ ΠΈ ΡΠΈΠ³ΠΌΠΎΠ²ΠΈΠ΄Π½ΠΎΠΉ ΠΊΠΈΡΠΊΠΎΠΉ. ΠΠ° 2 ΠΌΠΌ Π½ΠΈΠΆΠ΅ ΡΡΠΎΠ³ΠΎ ΡΠ²Π°Β ΡΠ°ΡΡΠ΅ΠΊΠ°Π΅ΡΡΡ Π² ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎΠΌ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΠΈ ΡΡΠ΅Π½ΠΊΠ° ΡΠΈΠ³ΠΌΠΎΠ²ΠΈΠ΄Π½ΠΎΠΉ ΠΊΠΈΡΠΊΠΈ ΠΈ Π² ΠΏΡΠΎΡΠ²Π΅Ρ ΡΠΈΠ³ΠΌΠΎΠ²ΠΈΠ΄Π½ΠΉ ΠΊΠΈΡΠΊΠΈ ΠΏΠΎΠ³ΡΡΠΆΠ°Π΅ΡΡΡ ΠΊΡΠ»ΡΡΡ ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎΠΎΠ±ΠΎΠ΄ΠΎΡΠ½ΠΎΠΉ ΠΊΠΈΡΠΊΠΈ. ΠΠ°Π»Π΅Π΅ ΡΠΏΠ΅ΡΠ΅Π΄ΠΈ ΡΡΠ΅Π½ΠΊΠΈ ΠΎΠ±Π΅ΠΈΡ
ΠΊΠΈΡΠΎΠΊ ΡΠ½ΠΎΠ²Π° ΡΠΎΠ΅Π΄ΠΈΠ½ΡΡΡΡΡ Π½Π΅ΠΏΡΠ΅ΡΡΠ²Π½ΡΠΌ ΡΠ²ΠΎΠΌΠΠ°ΠΊΠ»Π°Π΄ΡΠ²Π°ΡΡΡΡ ΠΏΠ΅ΡΠ΅Π΄Π½ΠΈΠΉ ΠΈ Π·Π°Π΄Π½ΠΈΠΉ ΡΡΠ΄ ΡΠ·Π»ΠΎΠ²ΡΡ
ΡΠ΅ΡΠΎΠ·Π½ΠΎΠΌΡΡΠ΅ΡΠ½ΡΡ
ΡΠ²ΠΎΠ². Π ΠΎΠ±ΡΠ΅ΠΌ Π² Π½Π΅ΠΏΡΠ΅ΡΡΠ²Π½ΡΠ΅ ΠΈ ΡΠ·Π»ΠΎΠ²ΡΠ΅ ΡΠ²Ρ Π·Π°Ρ
Π²Π°ΡΡΠ²Π°ΡΡ ΠΏΠΎ 5-6 ΠΌΠΌ ΡΠ΅ΡΠΎΠ·Π½ΠΎΠΌΡΡΠ΅ΡΠ½ΡΡ
ΠΎΠ±ΠΎΠ»ΠΎΡΠ΅ΠΊ ΠΎΠ±Π΅ΠΈΡ
ΠΎΡΠ³Π°Π½ΠΎΠ².ΠΠ° ΠΏΠΎΡΠ»Π΅Π΄Π½ΠΈΠ΅ 5 Π»Π΅Ρ Π² Π§Π΅ΡΠ½ΠΎΠ²ΠΈΡΠΊΠΎΠΌ ΠΎΠ½ΠΊΠΎΠ΄ΠΈΡΠΏΠ°Π½ΡΠ΅ΡΠ΅ ΡΡΠ°Π½ΡΠ΅ΡΠ·ΠΎΡΠΈΠ³ΠΌΠΎΠ°Π½Π°ΡΡΠΎΠΌΠΎΠ·Ρ Π²ΡΠΏΠΎΠ»Π½Π΅Π½Ρ Ρ 19 Π±ΠΎΠ»ΡΠ½ΡΡ
, ΠΈΠ· Π½ΠΈΡ
Ρ 9 Π·Π° ΠΎΡΠΈΠ³ΠΈΠ½Π°Π»ΡΠ½ΠΎΠΉ ΠΈΠ½Π²Π°Π³ΠΈΠ½Π°ΡΠΈΠΎΠ½Π½ΠΎΠΉ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΎΠΉ ΠΊΠΎΠ½Π΅Ρ Π² Π±ΠΎΠΊ. ΠΠΏΠ΅ΡΠ°ΡΠΈΠΈ ΡΠ΅Ρ
Π½ΠΈΡΠ΅ΡΠΊΠΈ ΠΏΡΠΎΡΡΡΠ΅, ΠΎΡΠ»ΠΎΠΆΠ½Π΅Π½ΠΈΠΉ Π½Π΅ Π½Π°Π±Π»ΡΠ΄Π°Π»ΠΎΡΡ.ΠΡΠ²ΠΎΠ΄. Π’ΡΠ°Π½ΡΠ²Π΅ΡΠ·ΠΎΡΠΈΠ³ΠΌΠΎΠ°Π½Π°ΡΡΠΎΠΌΠΎΠ· ΠΈΠ½Π²Π°Π³ΠΈΠ½Π°ΡΠΈΠΉΠ½ΠΈΠΉ ΠΏΠΎ ΠΎΠ±ΡΠ°Π·ΡΡ ΠΊΠΎΠ½Π΅Ρ Π² ΡΡΠΎΡΠΎΠ½Ρ ΠΏΠΎ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΠΎΠΉ Π½Π°ΠΌΠΈ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ΅ - Π±Π΅Π·ΠΎΠΏΠ°ΡΠ½ΠΎΠ΅ ΠΈ ΠΏΡΠΎΡΡΠΎΠ΅ ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠ²Π½ΠΎΠ΅ Π²ΠΌΠ΅ΡΠ°ΡΠ΅Π»ΡΡΡΠ²ΠΎ. ΠΠ½Π°ΡΡΠΎΠΌΠΎΠ· Π½Π°ΠΊΠ»Π°Π΄ΡΠ²Π°Π΅ΡΡΡ Π½ΠΈΠΆΠ΅ ΠΊΡΠ»ΡΡΠΈ ΡΠΈΠ³ΠΌΠΎΠ²ΠΈΠ΄Π½ΠΎΠΉ ΠΊΠΈΡΠΊΠΈ Π² Π·ΠΎΠ½Π°Ρ
Π³Π°ΡΠ°Π½ΡΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠ³ΠΎ ΠΊΡΠΎΠ²ΠΎΡΠ½Π°Π±ΠΆΠ΅Π½ΠΈΡ.ΠΠ΅ΡΠ° ΡΠΎΠ±ΠΎΡΠΈ - ΠΏΡΠ΅Π΄ΡΡΠ°Π²ΠΈΡΠΈ Π²Π»Π°ΡΠ½Ρ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΡ ΡΠ½Π²Π°Π³ΡΠ½Π°ΡΡΠΉΠ½ΠΎΠ³ΠΎ ΡΡΠ°Π½ΡΠ²Π΅ΡΠ·ΠΎ-ΡΠΈΠ³ΠΌΠΎΠ°Π½Π°ΡΡΠΎΠΌΠΎΠ·Ρ ΠΏΡΠΈ ΡΠ°ΠΊΡ ΡΠΎΠ²ΡΡΠΎΡ ΠΊΠΈΡΠΊΠΈ. ΠΡΠΎΠ°Π½Π°Π»ΡΠ·ΡΠ²Π°ΡΠΈ Π·Π°ΡΡΠ±ΡΠΆΠ½Ρ Π»ΡΡΠ΅ΡΠ°ΡΡΡΡ ΡΠΎΠ΄ΠΎ Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½Ρ ΡΠΈΡ
ΡΠΈΠΏΡΠ² ΠΎΠΏΠ΅ΡΠ°ΡΡΠΉ Π·Π° ΠΎΡΡΠ°Π½Π½Ρ 5 ΡΠΎΠΊΡΠ².ΠΠ°ΡΠ΅ΡΡΠ°Π» ΡΠ° ΠΌΠ΅ΡΠΎΠ΄ΠΈ. ΠΡΠΎΠ°Π½Π°Π»ΡΠ·ΠΎΠ²Π°Π½Ρ ΡΠΈΠΏΠΈ Π°Π½Π°ΡΡΠΎΠΌΠΎΠ·ΡΠ² ΠΏΡΡΠ»Ρ Π»ΡΠ²ΠΎΡΡΠΎΡΠΎΠ½Π½ΡΠΎΡ Π³Π΅ΠΌΡΠΊΠΎΠ»ΠΎΠ½Π΅ΠΊΡΠΎΠΌΡΡ Π² Π§Π΅ΡΠ½ΡΠ²Π΅ΡΡΠΊΠΎΠΌΡ ΠΊΠ»ΡΠ½ΡΡΠ½ΠΎΠΌΡ ΠΎΠ½ΠΊΠΎΠ»ΠΎΠ³ΡΡΠ½ΠΎΠΌΡ Π΄ΠΈΡΠΏΠ°Π½ΡΠ΅ΡΡ Π·Π° ΠΎΡΡΠ°Π½Π½Ρ 5 ΡΠΎΠΊΡΠ² (Π· 1 ΡΡΡΠ½Ρ 2012 ΠΏΠΎ 31 Π³ΡΡΠ΄Π½Ρ 2017 ΡΠΎΠΊΡ). ΠΡΠΎΠ°Π½Π°Π»ΡΠ·ΠΎΠ²Π°Π½Ρ ΡΡΠ°ΡΡΡ Ρ ΡΠ΅Π·ΠΈ Π² Π°Π½Π³Π»ΠΎΠΌΠΎΠ²Π½ΠΈΡ
Π·Π°ΡΡΠ±ΡΠΆΠ½ΠΈΡ
ΠΆΡΡΠ½Π°Π»Π°Ρ
Π·Π° ΠΎΡΡΠ°Π½Π½Ρ 5 ΡΠΎΠΊΡΠ², ΡΠΎ ΡΡΠΎΡΡΡΡΡΡΡ ΡΠ½Π²Π°Π³ΡΠ½Π°ΡΡΠΉΠ½ΠΈΡ
ΡΠΎΠ²ΡΡΠΎ ΠΊΠΈΡΠΊΠΎΠ²ΠΈΡ
Π°Π½Π°ΡΡΠΎΠΌΠΎΠ·ΡΠ²,Β Π·Π° ΠΊΠ»ΡΡΠΎΠ²ΠΈΠΌΠΈ ΡΠ»ΠΎΠ²Π°ΠΌΠΈ.Π Π΅Π·ΡΠ»ΡΡΠ°ΡΠΈ. ΠΠΏΠΈΡΠ°Π½ΠΈΠΉ ΠΎΡΠΈΠ³ΡΠ½Π°Π»ΡΠ½ΠΈΠΉ ΡΠΏΠΎΡΡΠ± ΡΠ½Π²Π°Π³ΡΠ½Π°ΡΡΠΉΠ½ΠΎΠ³ΠΎ ΡΡΠ°Π½ΡΠ²Π΅ΡΠ·ΠΎ-ΡΠΈΠ³ΠΌΠΎΠ°Π½Π°ΡΡΠΎΠΌΠΎΠ·Ρ ΠΊΡΠ½Π΅ΡΡ Ρ Π±ΡΠΊ ΠΏΡΠΈ ΠΏΡΡ
Π»ΠΈΠ½Π°Ρ
Π»ΡΠ²ΠΎΡ ΠΏΠΎΠ»ΠΎΠ²ΠΈΠ½ΠΈ ΡΠΎΠ²ΡΡΠΎΡ ΠΊΠΈΡΠΊΠΈ. ΠΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΡΠ½Π²Π°Π³ΡΠ½Π°ΡΡΠΉΠ½ΠΎΠ³ΠΎ Π°Π½Π°ΡΡΠΎΠΌΠΎΠ·Ρ, ΡΠΊΠ° Π·Π°ΡΡΠΎΡΠΎΠ²ΡΡΡΡΡΡ Π² Π½Π°ΡΡΠΉ ΠΊΠ»ΡΠ½ΡΡΡ, ΠΏΠΎΠ»ΡΠ³Π°Ρ Π² Π½Π°ΡΡΡΠΏΠ½ΠΎΠΌΡ: ΠΊΡΠΊΡΡ ΡΠΈΠ³ΠΌΠΎΠ²ΠΈΠ΄Π½ΠΎΡ ΠΊΠΈΡΠΊΠΈ Π·Π°ΠΊΡΠΈΠ²Π°ΡΠΌΠΎ ΠΎΠ±Π²ΠΈΠ²Π½ΠΈΠΌ Π±Π΅Π·ΠΏΠ΅ΡΠ΅ΡΠ²Π½ΠΈΠΌ ΡΠ²ΠΎΠΌ,Β ΡΠΊΠΈΠΉ Π·Π°Π½ΡΡΡΡΠΌΠΎ Π² ΠΊΠΈΡΠ΅ΡΠ½ΠΈΠΉ ΡΠΎΠ² Π½Π° 5-6 ΡΠΌ. Π½ΠΈΠΆΡΠ΅ Π·Π°ΠΊΡΠΈΡΠΎΡ ΠΊΡΠΊΡΠΈ, Π½Π°ΠΊΠ»Π°Π΄Π°ΡΠΌΠΎ Π±Π΅Π·ΠΏΠ΅ΡΠ΅ΡΠ²Π½ΠΈΠΉ ΡΠ΅ΡΠΎΠ·Π½ΠΎΠΌ'ΡΠ·ΠΎΠ²ΠΈΠΉ ΡΠΎΠ² ΠΌΡΠΆ ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎΠΎΠ±ΠΎΠ΄ΠΎΠ²ΠΎΡ ΠΊΠΈΡΠΊΠΎΡ Ρ ΡΠΈΠ³ΠΌΠΎΠ²ΠΈΠ΄Π½ΠΎΡ ΠΊΠΈΡΠΊΠΎΡ. ΠΠ° 2 ΠΌΠΌ Π½ΠΈΠΆΡΠ΅ ΡΡΠΎΠ³ΠΎ ΡΠ²Π° ΡΠΎΠ·ΡΡΠΊΠ°ΡΠΌΠΎΒ Π² ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎΠΌΡ Π½Π°ΠΏΡΡΠΌΡ ΡΡΡΠ½ΠΊΡ ΡΠΈΠ³ΠΌΠΎΠ²ΠΈΠ΄Π½ΠΎΡ ΠΊΠΈΡΠΊΠΈ Ρ Π² ΠΏΡΠΎΡΠ²ΡΡ ΡΠΈΠ³ΠΌΠΎΠ²ΠΈΠ΄Π½ΠΎΡ ΠΊΠΈΡΠΊΠΈ Π·Π°Π½ΡΡΡΡΠΌΠΎ ΠΊΡΠΊΡΡ ΠΏΠΎΠΏΠ΅ΡΠ΅ΡΠ½ΠΎΠΎΠ±ΠΎΠ΄ΠΎΠ²ΠΎΡ ΠΊΠΈΡΠΊΠΈ. ΠΠ°Π»Ρ ΡΠΏΠ΅ΡΠ΅Π΄Ρ ΡΡΡΠ½ΠΊΠΈ ΠΎΠ±ΠΎΡ
ΠΊΠΈΡΠΎΠΊ Π·Π½ΠΎΠ²Ρ Π·'ΡΠ΄Π½ΡΡΠΌΠΎ Π±Π΅Π·ΠΏΠ΅ΡΠ΅ΡΠ²Π½ΠΈΠΌ ΡΠ²ΠΎΠΌ. ΠΠ°ΠΊΠ»Π°Π΄Π°ΡΠΌΠΎ ΠΏΠ΅ΡΠ΅Π΄Π½ΡΠΉ Ρ Π·Π°Π΄Π½ΡΠΉ ΡΡΠ΄ΠΈ Π²ΡΠ·Π»ΠΎΠ²ΠΈΡ
ΡΠ΅ΡΠΎΠ·Π½ΠΎΠΌ'ΡΠ·ΠΎΠ²ΠΈΡ
ΡΠ²ΡΠ². Π‘Ρ
Π΅ΠΌΠ° Π½Π°ΡΠΎΡ ΠΎΠΏΠ΅ΡΠ°ΡΡΡ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π° Π½Π° ΠΌΠ°Π»ΡΠ½ΠΊΠ°Ρ
1-2. ΠΠ°Π³Π°Π»ΠΎΠΌ Ρ Π±Π΅Π·ΠΏΠ΅ΡΠ΅ΡΠ²Π½Ρ Ρ Π²ΡΠ·Π»ΠΎΠ²Ρ ΡΠ²ΠΈ Π·Π°Ρ
ΠΎΠΏΠ»ΡΡΠΌΠΎ ΠΏΠΎ 5-6 ΠΌΠΌ ΡΠ΅ΡΠΎΠ·Π½ΠΎΠΌ'ΡΠ·ΠΎΠ²ΠΈΡ
ΠΎΠ±ΠΎΠ»ΠΎΠ½ΠΎΠΊ ΠΎΠ±ΠΎΡ
ΠΎΡΠ³Π°Π½ΡΠ².ΠΠ° ΠΎΡΡΠ°Π½Π½Ρ 5 ΡΠΎΠΊΡΠ² Ρ ΠΏΠ΅ΡΡΠΎΠΌΡ Ρ
ΡΡΡΡΠ³ΡΡΠ½ΠΎΠΌΡ Π²ΡΠ΄Π΄ΡΠ»Π΅Π½Π½Ρ Π§ΠΠΠΠ ΡΡΠ°Π½ΡΠ²Π΅ΡΠ·ΠΎΡΠΈΠ³ΠΌΠΎΠ°Π½Π°ΡΡΠΎΠΌΠΎΠ·ΠΈ Π²ΠΈΠΊΠΎΠ½Π°Π½Ρ Ρ 19 Ρ
Π²ΠΎΡΠΈΡ
,Β Π· Π½ΠΈΡ
Ρ 9 Π·Π° ΠΎΡΠΈΠ³ΡΠ½Π°Π»ΡΠ½ΠΎΡ ΡΠ½Π²Π°Π³ΡΠ½Π°ΡΡΠΉΠ½ΠΎΡΒ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΎΡ. ΠΠΏΠ΅ΡΠ°ΡΡΡ ΡΠ΅Ρ
Π½ΡΡΠ½ΠΎ ΠΏΡΠΎΡΡΡ, ΡΡΠΊΠ»Π°Π΄Π½Π΅Π½Ρ Π½Π΅ ΡΠΏΠΎΡΡΠ΅ΡΡΠ³Π°Π»ΠΈ.ΠΠΈΡΠ½ΠΎΠ²ΠΎΠΊ. Π’ΡΠ°Π½ΡΠ²Π΅ΡΠ·ΠΎΡΠΈΠ³ΠΌΠΎΠ°Π½Π°ΡΡΠΎΠΌΠΎΠ· ΡΠ½Π²Π°Π³ΡΠ½Π°ΡΡΠΉΠ½ΠΈΠΉ Π·Π° Π·ΡΠ°Π·ΠΊΠΎΠΌ ΠΊΡΠ½Π΅ΡΡ Ρ Π±ΡΠΊ Π·Π° ΡΠΎΠ·ΡΠΎΠ±Π»Π΅Π½ΠΎΡ Π½Π°ΠΌΠΈ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΎΡ β Π±Π΅Π·ΠΏΠ΅ΡΠ½Π΅ Ρ ΠΏΡΠΎΡΡΠ΅ ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠ²Π½Π΅ Π²ΡΡΡΡΠ°Π½Π½Ρ. ΠΠ½Π°ΡΡΠΎΠΌΠΎΠ· Π½Π°ΠΊΠ»Π°Π΄Π°ΡΡΡΡΡ Π½ΠΈΠΆΡΠ΅ ΠΊΡΠΊΡΠΈ ΡΠΈΠ³ΠΌΠΎΠ²ΠΈΠ΄Π½ΠΎΡ ΠΊΠΈΡΠΊΠΈ Π² Π·ΠΎΠ½Π°Ρ
Π³Π°ΡΠ°Π½ΡΠΎΠ²Π°Π½ΠΎΠ³ΠΎ ΠΊΡΠΎΠ²ΠΎΠΏΠΎΡΡΠ°ΡΠ°Π½Π½Ρ.
Important Elements ΠΎf Mathematical Education ΠΎf Medical Students.
Π£ ΡΡΠ°ΡΡΡ ΡΠΎΠ·Π³Π»ΡΠ½ΡΡΠΎ ΡΡΠ΄ ΠΌΠ΅Π΄ΠΈΡΠ½ΠΈΡ
Π½Π°ΠΏΡΡΠΌΠΊΡΠ², Π΄Π»Ρ ΡΠΊΠΈΡ
ΠΎΡΠΎΠ±Π»ΠΈΠ²ΠΎ Π°ΠΊΡΡΠ°Π»ΡΠ½Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½Ρ Π·Π½Π°Π½Π½Ρ. ΠΠΎΠΆΠ»ΠΈΠ²Ρ Π½Π°ΠΏΡΡΠΌΠΊΠΈ Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΈΡ
Π·Π½Π°Π½Ρ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π·Π° ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠΌ Π°Π½Π°Π»ΡΠ·Ρ ΡΡΠ΄Ρ Π΄ΠΈΡΡΠΈΠΏΠ»ΡΠ½, ΡΠΊΡ Π²ΠΈΠ²ΡΠ°ΡΡΡΡΡ Π·Π΄ΠΎΠ±ΡΠ²Π°ΡΠ°ΠΌΠΈ ΠΎΡΠ²ΡΡΠΈ ΡΡΠ·Π½ΠΈΡ
ΠΌΠ΅Π΄ΠΈΡΠ½ΠΈΡ
ΡΠΏΠ΅ΡΡΠ°Π»ΡΠ½ΠΎΡΡΠ΅ΠΉ Π³Π°Π»ΡΠ·Ρ Π·Π½Π°Π½Ρ 22 Β«ΠΡ
ΠΎΡΠΎΠ½Π° Π·Π΄ΠΎΡΠΎΠ²βΡΒ» ΡΠ° ΡΡΠ²Π½ΡΠ² (Π±Π°ΠΊΠ°Π»Π°Π²ΡΡΡΠΊΠΈΠΉ, ΠΌΠ°Π³ΡΡΡΠ΅ΡΡΡΠΊΠΈΠΉ, Π΄ΠΎΠΊΡΠΎΡ ΡΡΠ»ΠΎΡΠΎΡΡΡ) Ρ Π΄Π΅ΡΠΊΠΈΡ
Π½Π°ΠΏΡΡΠΌΠΊΡΠ² ΠΏΡΠ°ΠΊΡΠΈΡΠ½ΠΎΡ ΡΠΎΠ±ΠΎΡΠΈ Π»ΡΠΊΠ°ΡΡΠ² ΡΡΠ·Π½ΠΎΠ³ΠΎ ΠΏΡΠΎΡΡΠ»Ρ ΡΠ° Π½Π°ΡΠΊΠΎΠ²ΡΡΠ² Ρ Π³Π°Π»ΡΠ·Ρ ΠΌΠ΅Π΄ΠΈΡΠΈΠ½ΠΈ. ΠΠΈΠΊΠΎΡΠΈΡΡΠ°Π½ΠΎ ΡΠ΅ΠΎΡΠ΅ΡΠΈΡΠ½ΠΈΠΉ (Π°Π½Π°Π»ΡΠ· Π½Π°ΡΠΊΠΎΠ²ΠΈΡ
Π΄ΠΆΠ΅ΡΠ΅Π», Π²Π»Π°ΡΠ½ΠΈΠΉ ΠΏΠ΅Π΄Π°Π³ΠΎΠ³ΡΡΠ½ΠΈΠΉ Π΄ΠΎΡΠ²ΡΠ΄) ΡΠ° ΡΠ°ΡΡΠΊΠΎΠ²ΠΎ Π΅ΠΌΠΏΡΡΠΈΡΠ½ΠΈΠΉ (ΠΏΠ΅Π΄Π°Π³ΠΎΠ³ΡΡΠ½Π΅ ΡΠΏΠΎΡΡΠ΅ΡΠ΅ΠΆΠ΅Π½Π½Ρ) ΠΌΠ΅ΡΠΎΠ΄ΠΈ Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Π½Ρ.
ΠΡΠΎΠ°Π½Π°Π»ΡΠ·ΠΎΠ²Π°Π½ΠΎ ΡΠ° Π°ΡΠ³ΡΠΌΠ΅Π½ΡΠΎΠ²Π°Π½ΠΎ Π²Π°ΠΆΠ»ΠΈΠ²ΡΡΡΡ ΠΎΠΊΡΠ΅ΠΌΠΈΡ
ΡΠΎΠ·Π΄ΡΠ»ΡΠ² ΠΊΡΡΡΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ: Π΅Π»Π΅ΠΌΠ΅Π½ΡΠΈ ΡΠΈΡΠ»Π΅Π½Π½Ρ, ΠΏΠΎΠ±ΡΠ΄ΠΎΠ²Π° Π³ΡΠ°ΡΡΠΊΡΠ² ΡΡΠ½ΠΊΡΡΠΉ, Π΅Π»Π΅ΠΌΠ΅Π½ΡΠΈ ΡΠ΅ΠΎΡΡΡ ΠΉΠΌΠΎΠ²ΡΡΠ½ΠΎΡΡΠ΅ΠΉ ΡΠ° ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΎΡ ΡΡΠ°ΡΠΈΡΡΠΈΠΊΠΈ, Π΅Π»Π΅ΠΌΠ΅Π½ΡΠΈ Π΄ΠΈΡΠ΅ΡΠ΅Π½ΡΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠ° ΡΠ½ΡΠ΅Π³ΡΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠΈΡΠ»Π΅Π½Π½Ρ.
ΠΡΠ°ΠΊΡΠΈΡΠ½ΠΎ ΠΊΠΎΠΆΠ΅Π½ Π»ΡΠΊΠ°Ρ ΡΡΡΡ ΡΠΈ ΡΠ½ΡΠΎΡ ΠΌΡΡΠΎΡ ΠΌΠ°Ρ ΡΠΏΡΠ°Π²Ρ Π· ΡΠΈΡΠ°Π½Π½ΡΠΌ Π΄ΡΠ°Π³Π½ΠΎΡΡΠΈΡΠ½ΠΎΡ ΡΠ½ΡΠΎΡΠΌΠ°ΡΡΡ, ΡΠΊΠ° Π²ΡΠ΄ΠΎΠ±ΡΠ°ΠΆΠ΅Π½Π° Π³ΡΠ°ΡΡΡΠ½ΠΎ Ρ ΠΎΠΏΠΈΡΡΡ Π΄ΠΈΠ½Π°ΠΌΡΠΊΡ Π·ΠΌΡΠ½ΠΈ Π΄ΠΎΠ²ΡΠ»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΠ°, ΡΠΎΠΌΡ ΡΠΈΡΠ°Π½Π½Ρ Π³ΡΠ°ΡΡΠΊΡΠ² - Π½Π°Π΄Π·Π²ΠΈΡΠ°ΠΉΠ½ΠΎ Π²Π°ΠΆΠ»ΠΈΠ²Π° Π·Π°Π΄Π°ΡΠ° ΠΏΡΠΈ Π²ΠΈΠ²ΡΠ΅Π½Π½Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ.
ΠΠ΄Π½ΠΈΠΌ ΡΠ· ΠΏΠΎΠ²ΡΡΠ΄Π½ΠΈΡ
Π·Π°ΡΡΠΎΡΡΠ²Π°Π½Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ Π² ΠΌΠ΅Π΄ΠΈΡΠΈΠ½Ρ Ρ Π²ΠΈΠΊΠΎΡΠΈΡΡΠ°Π½Π½Ρ Π΅Π»Π΅ΠΌΠ΅Π½ΡΡΠ² ΡΠ΅ΠΎΡΡΡ ΠΉΠΌΠΎΠ²ΡΡΠ½ΠΎΡΡΠ΅ΠΉ ΡΠ° ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΎΡ ΡΡΠ°ΡΠΈΡΡΠΈΠΊΠΈ. Π‘ΡΠ°ΡΠΈΡΡΠΈΡΠ½Ρ ΠΌΠ΅ΡΠΎΠ΄ΠΈ Π·Π°ΡΡΠΎΡΠΎΠ²ΡΡΡΡ Π΄Π»Ρ ΠΏΠ΅ΡΠ΅Π²ΡΡΠΊΠΈ Π΅ΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ Π½ΠΎΠ²ΠΈΡ
ΡΠΈΠΏΡΠ² Π»ΡΠΊΡΠ² Π°Π±ΠΎ ΠΌΠ΅Π΄ΠΈΡΠ½ΠΈΡ
Π²ΡΡΡΡΠ°Π½Ρ Ρ ΠΏΠΎΡΡΠ²Π½ΡΠ½Π½Ρ Π· ΡΡΠ½ΡΡΡΠΈΠΌΠΈ, ΠΎΡΡΠ½ΠΊΠΈ ΡΠΈΠ·ΠΈΠΊΡΠ² Π΄Π»Ρ ΠΏΠ°ΡΡΡΠ½ΡΡΠ², ΡΠΊΡ ΠΏΡΠΎΡ
ΠΎΠ΄ΡΡΡ ΠΏΠ΅Π²Π½Π΅ Π»ΡΠΊΡΠ²Π°Π½Π½Ρ, Π²ΠΈΡΠ²Π»Π΅Π½Π½Ρ ΡΠ·Π³ΠΎΠ΄ΠΆΠ΅Π½ΠΎΡΡΡ Π² Π·ΠΌΡΠ½Π°Ρ
ΠΏΠΎΠΊΠ°Π·Π½ΠΈΠΊΡΠ².
ΠΠΏΡΠ΄Π΅ΠΌΡΠΎΠ»ΠΎΠ³ΠΈ ΡΠ°ΡΡΠΎ Π΄Π»Ρ ΠΏΡΠΎΠ³Π½ΠΎΠ·ΡΠ²Π°Π½Π½Ρ ΠΏΡΠΎΡΠ΅ΡΡΠ² ΠΏΠΎΡΠΈΡΠ΅Π½Π½Ρ ΡΠ½ΡΠ΅ΠΊΡΡΠΉ Π²ΠΈΠΊΠΎΡΠΈΡΡΠΎΠ²ΡΡΡΡ Π΅Π»Π΅ΠΌΠ΅Π½ΡΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΎΠ³ΠΎ ΠΌΠΎΠ΄Π΅Π»ΡΠ²Π°Π½Π½Ρ. ΠΠ΅ ΠΌΠ΅Π½Ρ Π²Π°ΠΆΠ»ΠΈΠ²ΠΈΠΌΠΈ Π΅Π»Π΅ΠΌΠ΅Π½ΡΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΎΠ³ΠΎ ΠΌΠΎΠ΄Π΅Π»ΡΠ²Π°Π½Π½Ρ Ρ Π΄Π»Ρ ΡΠ°ΡΠΌΠ°ΠΊΠΎΠ»ΠΎΠ³ΡΡ.
ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ° Π²Π°ΠΆΠ»ΠΈΠ²Π° ΡΠ°ΠΊΠΎΠΆ Π΄Π»Ρ Π΄ΡΠ°Π³Π½ΠΎΡΡΠΈΠΊΠΈ ΠΌΠ΅Π΄ΠΈΡΠ½ΠΈΡ
ΡΡΠ°Π½ΡΠ² ΡΠ° Π·Π°Ρ
Π²ΠΎΡΡΠ²Π°Π½Ρ, ΠΎΡΠΊΡΠ»ΡΠΊΠΈ Π²ΠΎΠ½Π° Ρ Π³Π°ΡΠ°Π½ΡΠΎΠΌ ΠΏΡΠ°Π²ΠΈΠ»ΡΠ½ΠΎΡΡΡ ΡΠ΄Π΅Π½ΡΠΈΡΡΠΊΠ°ΡΡΡ ΡΡΠ°Π½Ρ ΠΏΠ°ΡΡΡΠ½ΡΠ°.
ΠΠ΅ΠΌΠΎΠΆΠ»ΠΈΠ²ΠΎ Π²ΠΊΠ°Π·Π°ΡΠΈ Π±ΡΠ»ΡΡ ΡΠΈ ΠΌΠ΅Π½Ρ Π²Π°ΠΆΠ»ΠΈΠ²Ρ ΡΠΎΠ·Π΄ΡΠ»ΠΈ, Π²ΠΎΠ½ΠΈ Π²Π·Π°ΡΠΌΠΎΠΏΠΎΠ²βΡΠ·Π°Π½Ρ Ρ ΠΏΠ΅ΡΠ΅Π΄Π±Π°ΡΠ°ΡΡΡ Π½Π°ΡΡΡΠΏΠ½ΡΡΡΡ Π·Π½Π°Π½Ρ. Π’ΠΎΠΌΡ Π²Π°ΠΆΠ»ΠΈΠ²ΠΎ ΡΠΎΠ·ΡΠΌΡΠ½Π½Ρ Π½Π΅ΠΎΠ±Ρ
ΡΠ΄Π½ΠΎΡΡΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ½ΠΈΡ
Π·Π½Π°Π½Ρ ΠΌΠ°ΠΉΠ±ΡΡΠ½ΡΠΌ ΠΌΠ΅Π΄ΠΈΠΊΠ°ΠΌ Ρ Π΄ΠΎΠ½Π΅ΡΠ΅Π½Π½Ρ ΡΡΡΡ ΡΠ½ΡΠΎΡΠΌΠ°ΡΡΡ ΡΡΠ·Π½ΠΎΠΌΠ°Π½ΡΡΠ½ΠΈΠΌΠΈ Π·Π°ΡΠΎΠ±Π°ΠΌΠΈ Π΄ΠΎ ΠΊΠΎΠΆΠ½ΠΎΠ³ΠΎ, Ρ
ΡΠΎ ΠΏΠ»Π°Π½ΡΡ ΠΏΠΎΠ² βΡΠ·Π°ΡΠΈ ΡΠ²ΠΎΡ ΠΏΡΠΎΡΠ΅ΡΡΠΉΠ½Ρ Π΄ΡΡΠ»ΡΠ½ΡΡΡΡ Π· ΠΌΠ΅Π΄ΠΈΡΠΈΠ½ΠΎΡ.The article considers a number of medical fields where mathematical knowledge is especially relevant. Possible areas of use of mathematical knowledge are presented based on the analysis of a number of disciplines studied by students of different medical specialties in the field of knowledge 22 "Health care" and grade (bachelor, master, doctor of philosophy) and some areas of practice of physicians and scientists. Theoretical (analysis of scientific sources, own pedagogical experience) and partially empirical (pedagogical observation) research methods were used.
The importance of separate sections of the course of mathematics is analyzed and argued: elements of calculus, graphical representation offunctions, elements of probability theory and mathematical statistics, elements of differential and integral calculus.
Almost every doctor extent deals with reading of diagnostic information displayed graphically, it describes the dynamics of medical parameters, so reading of graphical dependences is an extremely important task in the study of mathematics.
One of the widespread applications of mathematics in medicine is the use of elements of probability theory and mathematical statistics. Statistical methods helps to test the effectiveness of new drugs or medical procedures compared to existing ones, to assess the risks for patients undergoing certain treatments, to identify correlation presence etc.
Epidemiologists often use elements of mathematical modeling to predict the spread of infections. Very important elements of mathematical modeling are for pharmacology.
Mathematics is also important for the diagnosis of medical conditions and diseases, as it is a guarantee of correct identification of the patient's condition.
It is impossible to specify more or less important sections; they are interconnected and imply continuity of knowledge. Therefore, it is important to understand the necessity of mathematical knowledge for future physicians and to convey this point in a variety of ways to anyone who associates their professional activities with medicine