Dependent coordinates in path integral measure factorization

The transformation of the path integral measure under the reduction procedure in the dynamical systems with a symmetry is considered. The investigation is carried out in the case of the Wiener--type path integrals that are used for description of the diffusion on a smooth compact Riemannian manifold with the given free isometric action of the compact semisimple unimodular Lie group. The transformation of the path integral, which factorizes the path integral measure, is based on the application of the optimal nonlinear filtering equation from the stochastic theory. The integral relation between the kernels of the original and reduced semigroup are obtained.Comment: LaTeX2e, 28 page

Evaluation of a strategy for tumor-initiating stem cell eradication in primary human glioblastoma cultures as a model

Primary cultures of human glioblastoma were obtained from the surgical material of patients K. (female, 61 years, Ds: relapse of glioblastoma) and Zh. (female, 60 years, Ds: relapse of glioblastoma). The effectiveness of a new therapeutic approach aimed at destroying the cancer cell community was evaluated on the primary cell lines of human glioblastoma culture by employing a new strategy of tumor-initiating stem cell synchronization and a domestic strategy of their eradication "3+1". The key elements of the strategy were the following indicator results: (1) evaluation of the presence of tumor-initiating stem cells in a population of cells from analyzed cultures by their ability to internalize double-stranded labeled DNA (TAMRA+ cells); (2) determination of the reference time points of the repair cycle of DNA interstrand cross-links induced by cross-linking cytostatic mitomycin C; (3) evaluation of cell cycle synchronization; (4) determination of the time (day after therapy initiation) when TAMRA+ cells were synchronously present in phase G1/S of the cell cycle, sensitive to the therapy; and (5) establishment of the TAMRA+ (tumor-initiating stem cells) eradication schedule. The cultures were treated with cross-linking cytostatic mitomycin C and a compositional DNA preparation. After the treatments, cell division slows down, and the cultures degrade. The K cell line completely degraded within 30 days of observation. The cell number of the Zh culture fell to nearly one-third of the starting value by day 15 of observation. On day 15, this indicator constituted 1/7.45 for mitomycin C and 1/10.28 for mitomycin C + DNA with reference to the control. The main target of the mitomycin C + DNA regimen was TAMRA+ tumor-initiating stem cells of the glioblastoma cell populations. The action of mitomycin C alone or in the combination with DNA demonstrated effective elimination of TAMRA+ tumor-initiating stem cells and the whole primary cultures of human glioblastomas

Eradication of Krebs-2 primary ascites via a single-injection regimen of cyclophosphamide and double-stranded DNA

Previously, we reported on the development of a therapeutic regimen allowing eradication of primary murine Krebs-2 ascites transplants. This protocol involved multiple injections of dsDNA preparations administered during the NER and HR phases of repair of interstrand DNA cross-links induced by prior cyclophosphamide treatments. Mice treated under this protocol frequently developed secondary ascites, which indicated that some tumor-inducing cancer stem cells could survive the treatment and caused relapse. Further, we observed that animals receiving multiple dsDNA injections developed pronounced systemic inflammatory response. This prompted us to develop a more straightforward treatment regimen based on the synergistic activity of cyclophosphamide and dsDNA preparations, which would allow complete eradication of established primary Krebs-2 ascites and also be less toxic for the treated animals. This protocol relies on a precisely timed single injection of dsDNA during the NER/HR transition period of each repair cycle. Under this protocol, 8-day remission of Krebs-2 engrafted mice was achieved, which was similar to the results of the multiple-injection treatment schedule. We observed an increase in the average life span of Krebs-2- transplanted mice on a single-injection regimen, which was consistent with reduced toxicity of such treatment

Analysis of different therapeutic schemes combining cyclophosphamide and doublestranded DNA preparation for eradication of Krebs-2 primary ascites in mice

In the present paper, we report on the series of experiments where multiple regimens of CP and dsDNA injections were tested for targeting the ascites form of murine Krebs-2 cancer in situ. We show that combining CP with cross-linked human and salmon dsDNA results in a synergistic toxicity for ascites-bearing mice, an observation supported by the histopathology analysis of organs and tissues of experimental animals. In contrast, using a composite mixture of native and cross-linked human and salmon DNA after CP injections leads to a significant increase in average lifespan of the treated mice. Further, we demonstrate that repeated rounds of CP+dsDNA injections result in dramatic anticancer effect. The timing of injections is chosen so that they target the cells that were insensitive to the previous treatments as they were in the G2/M phase. 3-4 rounds of injections are needed to eliminate the subpopulation of tumor-initiating cancer stem cells. Our experiments identified the regimen when complete resorption of the primary Krebs-2 ascites occurs in all of the treated animals, followed by a remarkable remission period lasting 7-9 days. Yet, this regimen does not prevent secondary site metastases (either solid or ascites form) from developing, which is likely caused by the migration of ascites cells into adjacent tissues or by incomplete eradication of cancer stem cells. To address these and other questions, we expanded the study and performed histopathology analysis, which indicated that secondary metastases is not the only cause of death. In fact, many animals displayed unfolding systemic inflammatory reaction which was culminated by multiple organ failure. Thus, we developed the concept for treating ascites form of Krebs-2 cancer, which allows elimination of the primary ascites

Development of the therapeutic regimen based on the synergistic activity of cyclophosphamide and double-stranded DNA preparation which results in complete cure of mice engrafted with Krebs-2 ascites

Cumulative evidence obtained in this series of studies has guided the logic behind the development of a novel composite dsDNA-based preparation whose therapeutic application according to the specific regimen completely cures the mice engrafted with otherwise lethal Krebs-2 ascites. The likely mechanism involves elimination of TAMRA+ tumor-inducing stem cells (TISCs) from Krebs-2 tumors. We performed quantitative analysis of TISC dynamics in Krebs-2  ascites following treatment with the cytostatic drug cyclophosphamide (CP) and untreated control cells. In intact ascites, TISC percentage oscillates around a certain value. Following CP treatment and massive apoptosis of committed cancer cell subpopulation, we observed relative increase in TISC percentage, which is consistent with reduced susceptibility of TISCs to CP. Nonetheless, this treatment apparently synchronizes TISCs in a cell cycle phase when they become sensitive to further drug treatments. We describe the regimen of synergistic DNA + CP activity against Krebs-2 ascites. This protocol results in a complete cure of 50 % of Krebs-2 engrafted mice and involves three metronomic injections of CP exactly at the timepoints when repair cycles are about to finish combined with dsDNA injections 18 hours following each CP injection. The “final shot” uses CP + DNA treatment, which targets the surviving yet highly synchronized and therefore treatmentsensitive cells. The first three CP/DNA injections appear to arrest Krebs-2 cells in late S-G2-M phase and result in their simultaneous progression into G1-S phase. The timing of the “final shot” is crucial for the successful treatment, which eradicates tumorigenic cell subpopulation from Krebs-2 ascites. Additionally, we quantified the changes in several biochemical, cellular and morphopathological parameters in mice throughout different treatment stages

Therapeutic effects of cyclophosphamide, dsDNA preparations and combinations thereof against Krebs-2 ascites cancer cells and various cancer transplants

Existence of a small subset of cancer cells referred to as tumor initiating stem cells (TISCs) largely responsible for tumor progression and resistance to chemotherapeutic cytostatic drugs reperesent an important recent paradigm shift. The present work is the first report in the series of papers from our group where we describe the development of anticancer therapy based on the selective targeting of TISCs. Here were characterize a cytoreductive activity of cyclophosphamide (CP), double-stranded DNA (dsDNA) and combinations thereof against the TISC population present in mouse Krebs-2 ascites. We evaluated engraftment potential of Krebs-2 cancer cells treated in ascites-bearing mice in vivo, followed by re-engraftment to congenic recipient mice in a form of a solid graft. These data indicate that with our approach TISCs can be completely eliminated even from a well-established ascites. We demonstrate that dsDNA-internalizing and CD34-positive cells are more sensitive to the synergistic effects of CP and dsDNA. When Krebs-2 ascites are treated with human DNA 1-12 hours post CP injection, this results in either elimination of cells that internalize TAMRA-labeled DNA (TISCs) or alters their phenotype, which is accompanied with the loss of surface expression of CD34. Next, we show that the timepoint 18 hrs post CP treatment is critical to the ongoing repair process in that it divides the repair into two phases: nucleotide excision repair + dsDNA break repair and homologous recombination. Importantly, both of these phases can be conveniently used for targeting the tumorigenic potential of the graft. In the context of monotherapy, CP is most effective against ascites grafts when administered as serial injections. To achieve maximum efficiency, the timing of consecutive injections must match the time when cancer cells found at G2/M during the first injection enter G1/S and/or the time of active repair via homologous recombination

Safety and Pharmacokinetics of the Substance of the Anti-Smallpox Drug NIOCH-14 after Oral Administration to Laboratory Animals

Background: Since most of the modern human population has no anti-smallpox immunity, it is extremely important to develop and implement effective drugs for the treatment of smallpox and other orthopoxvirus infections. The objective of this study is to determine the main characteristics of the chemical substance NIOCH-14 and its safety and bioavailability in the body of laboratory animals. Methods: The safety of NIOCH-14 upon single- or multiple-dose intragastric administration was assessed according to its effect on the main hematological and pathomorphological parameters of laboratory mice and rats. In order to evaluate the pharmacokinetic parameters of NIOCH-14 administered orally, a concentration of ST-246, the active metabolite of NIOCH-14, in mouse blood and organs was determined by tandem mass spectrometry and liquid chromatography. Results: The intragastric administration of NIOCH-14 at a dose of 5 g/kg body weight caused neither death nor signs of intoxication in mice. The intragastric administration of NIOCH-14 to mice and rats at doses of 50 and 150 µg/g body weight either as a single dose or once daily during 30 days did not cause animal death or critical changes in hematological parameters and the microstructure of internal organs. The tissue availability of NIOCH-14 administered orally to the mice at a dose of 50 µg/g body weight, which was calculated according to concentrations of its active metabolite ST-246 for the lungs, liver, kidney, brain, and spleen, was 100, 69.6, 63.3, 26.8 and 20.3%, respectively. The absolute bioavailability of the NIOCH-14 administered orally to mice at a dose of 50 µg/g body weight was 22.8%. Conclusion: Along with the previously determined efficacy against orthopoxviruses, including the smallpox virus, the substance NIOCH-14 was shown to be safe and bioavailable in laboratory animal experiments

CHARACTERISTIC CHANGES IN THE COPY NUMBER OF INTERSPERSED REPEATS IN BONE MARROW CELLS OF MICE TREATED WITH CYCLOPHOSPHAMIDE AND EXOGENOUS HUMAN DNA

Mice were observed to get sick and die upon administration of exogenous DNA in a specific period of time following their pretreatment with the cytostatic cyclophosphamide (CP) (Dolgova et al., 2011). It was established that exogenous DNA reaches internal compartments of bone marrow cells (BMCs) where it is processed (Dolgova et al., 2012a). Thus, BMCs appear to be the primary targets for the synergic action of these preparations (Dolgova et al., 2012b).In the present study, we show that the copy number for mouse interspersed genomic repeats decreases in the genome of mouse mononuclear cells as a result of interstrand cross-link (ICL) repair after pre-treatment with cytostatic CP. This phenomenon occurs within the time span from 18 to 24 h following CP injection, which corresponds to the final step in the repair of the majority of double-strand breaks (DSBs), as predominant intermediates in ICL repair. Injections of exogenous DNA in CP-pretreated mice preserve the copy number of interspersed repeats at the original level. Our results suggest that the fragments of exogenous DNA participate in ICL-induced DSB repair, thereby compromising the repair process

PATHOLOGICAL CHANGES IN MICE TREATED WITH CYCLOPHOSPHAMIDE AND EXOGENOUS DNA

The synergic action of the cytostatic drug cyclophosphamide (CP) and fragmented exogenous DNA causes illness and death in mice (Dolgova et al., 2011–2013). The observed «delayed death» effect was most clearly pronounced when the DNA preparation was administered 18 to 30 hours after CP treatment. This time span is designated as «death window».It was found that injections of exogenous DNA result in sustained increase in bone marrow cell (BMC) apoptosis, which occurs throughout the time of DNA administration (18–30 hours). Exogenous DNA, both allogeneic and belonging to various taxa induces BMCs apoptosis. Plasmid DNA has the greatest effect on apoptosis induction.The analysis of reduction and restoration of BMC subpopulations as the mice progressed to death revealed a virtually complete loss of the 12–20-mkm fraction of the cell population (about 3–4 % vs. 35–40 % in the control), which corresponds to the maximum leukopenia on day 3 after CP treatment. However, the relative amount of CD34+ hematopoietic stem cells (HSCs) from day 15 and till the end of the observation constituted 1,2–1,4 %, which corresponds to the wild-type range. Comparison of BMC smears from the sternal bone marrow of the CP and CP+DNA groups of mice indicates that the BMC populations isolated from CP+DNA animals lack young committed lymphopoiesis progenitor cells. Moreover, the affected mice had immature blast cell types in their blood, which was never observed in healthy or CP-treated mice. Pathological and morphological analyses show that starting from posttreatment day 9, mice that received CP+DNA preparations displayed pronounced morphological changes in their lungs, liver, pancreas, central and peripheral immune system organs, and brain. Most of the pathological changes observed are consistent with severe inflammatory response. This suggestion is proven by structural equivalents of functional involution of lymphoid organs, such as thymus, spleen, and lymph nodes.We speculate that the death of treated animals resulted from multiple organ dysfunctions caused by accidental involution of lymphoid organs and the systemic inflammatory response syndrome, both associated with injections of fragmented exogenous DNA into experimental animals within the «death window», which corresponds to the final step in the repair of the majority of CP-induced double-strand breaks