Optimal Interval for Detection of Molecular Relapse after Stop of Tyrosine Kinase Inhibitor (TKI) in Philadelphia Chromosome Positive Acute Lymphoblastic Leukemia (Ph+ALL) Caliculated By Kinetics of BCR-ABL Transcripts

Blood ◽  
2020 ◽  
Vol 136 (Supplement 1) ◽  
pp. 21-21
Author(s):  
Koichi Miyamura ◽  
Masahide Osaki ◽  
Tatsunori Goto ◽  
Takanobu Morishita ◽  
Yukiyasu Ozawa

Background In Ph+ALL patients, prophylactic/maintenance administrations of TKI are used after the protocol treatment. Unlike Chronic myelogenous leukemia (CML), after TKI stopped, there is no consensus about how often to monitor to detect molecular relapse. In the current study, from clinical data of 31 patients we tried to determine the optimal frequency of MRD monitor for better prognosis using a mathematical model. Methods Doubling time (DT) and Growth rate (GR) were retrospectively calculated by the increase of BCR-ABL from 99 kinetic data from 31 patients with Ph+ALL at molecular relapse. Measurement of amount BCR-ABL was performed by RQ-PCR. Mimicking CML, we defined BCR-ABL/ABL ratio of 0.1% as "MR3 (Major molecular response)" and undetectable levels of BCR-ABL transcript as "MR5 (Complete molecular response)". In order to investigate the relationship between tumor burden (BCR/ABL) at the time of MRD detection and prognosis, it was divided into 3 groups, BCR/ABL<0.1% (MR3), 0.1%<BCR/ABL<1% (MR2) and BCR/ABL>1% (MR1). This study was approved by the institutional review committee. Results The doubling time was 1.3 days (GR 0.7%/day) to 95.4 days (70.8%/day) with a median of 12.3 days (5.8%). The rate of increase was compared by three groups of tumor burden. The DT among patients in MR1 was shorter than those in MR3 and MR2 (7.7 days vs 15.2 days in median, t-test p<0.01). There were no differences of DT in sex, age, treatments and BCR/ABL mutation. Most patient had multiple kinetic data and the smallest amount of BCR/ABL was used in each patient. Among 8 patients who showed MR3 (MR3pt) and 11 who showed MR2 (MR2pt), 14 are alive at this analysis, while among 10 patients who showed MR1 (MR1pt), only 1 patient is alive.(Log-rank test, p<0.1) (Figure) Median survival time is 882 days, 330 days and 16 days in MR3pt, Mr2pt and MR1pt, respectively. All patients died of progression of the disease. Finding molecular relapse before MR2 may related to better results. Optimal interval of MRD detection We set several hypotheses to determine the optimal frequency to detect early recurrence of leukemia. We estimated that patients with MR2 and MR5 have 1010 and 107 Ph+ cells in body, respectively. We defined "MR2" and "MR5" as "optimal intervention threshold" and "detection threshold". From our clinical data, we tentatively determined that doubling time of leukemia growth is distributed between 1 day (GR 100%/day) and 100days (0.7%). Also, we assumed that single cell has a relapse potency and the GR is constant during observation in each patient. The number of Ph+ cells in a MR5 patient who would potentially relapse might be distributed between 1 cell and 1 x 107 (MR5). "Success" was defined as if molecular relapse is detected between M5 and MR2 and "Failure" was defined as if detected more than MR2. According to the daily clinical practice, the optimal examination interval is tentatively every 7 days, every 14 days, every 28 days, every 56 days, every 84 days, every 6 months, and every year. First, in order to calculate the growth rate that would be successful at 7-day intervals, the rate of 168%/day for 1 cell to increase 107 (MR5) in 7 days was calculated. This rate is faster than the maximum rate of 100%/day in this study, so an interval of 7 days is good for the initial period. Similarly, at 14-day intervals, 68%/day is calculated, and in this case, it requires 32 days to increase 107 (MR5) from 1 cell. As a result, after 32.7 days, 14-day intervals are acceptable. Similarly, the calculated results for 28 days, 56 days, 84 days, 6 months, and 1 year are shown in the Table. MRD can be found before M3 (success) with 28-day intervals after 65 days, 56-day intervals after 131 days, 84-day intervals after 196 days, 6-month intervals after 419 days and 1-year intervals after 852 days. Conclusion Taken together, soon after stop of TKI, more frequent monitoring of MRD than in "treatment free remission" in CML is needed. The interval can be prolonged with the passage of time. In several patients, hematopoietic stem cell transplantation (HSCT) was possible due to early intervention by changing TKI and chemotherapy. After HSCT, TKI combined with rapid reduction of immune-suppressants and donor lymphocyte infusion successfully related with long term survival. (data will be shown in ASH) Thus, the tight monitoring according to the mathematical model is important. The current strategy may be applied to other leukemia in which MRD monitoring by PCR is established. Disclosures Miyamura: Bristol-Myers Squibb Co., Ltd.:Honoraria;Celgene Co., Ltd.:Honoraria;Daiichi-Sankyo Co., Ltd.:Honoraria;Otsuka Co., Ltd.:Honoraria;Pfizer Co., Ltd.:Honoraria;Novartis Co., Ltd.:Honoraria.Goto:Takeda Pharmaceutical Co., Ltd:Honoraria;Novartis Pharma Co., Ltd.:Honoraria.Morishita:Bristol-Myers Squibb Co., Ltd.:Honoraria.Ozawa:Novartis Co., Ltd.:Honoraria.

Blood ◽  
2018 ◽  
Vol 132 (Supplement 1) ◽  
pp. 5291-5291
Author(s):  
Koichi Miyamura ◽  
Satoshi Nishiwaki

Abstract In the era of new-generation tyrosine kinase inhibitors (TKIs), prognosis of Ph+ leukemia (CML/ALL) has dramatically improved. Furthermore the number of CML patients who have stopped TKI is increasing. Usually TKI is stopped in patients who have sustained a deep molecular response. The MRD monitoring interval and threshold of restarting TKI is mostly established in CML. In Ph+ALL patients, prophylactic/maintenance administrations of TKI are used during post hematopoietic stem cell transplantation (HSCT) as well as post chemotherapy. Unlike CML, currently there are no standard methods of detection BCR-ABL in Ph+ALL and no established selection of patients who can stop TKI. In addition, after TKI stopped, there is no consensus about how often to monitor to detect molecular relapse and threshold of restart for TKI. In the current study, we tried to determine the optimal frequency of MRD monitor after the cessation of TKI in Ph+ALL using a mathematical model. In this model, we determined several agreed items. Mimicking CML, we defined BCR-ABL/ABL ratio of 0.1% as"MR3" and undetectable levels of BCR-ABL transcript as "MR5". We estimate that patients with MR3 and MR5 have 109 and 107 Ph+ cells in the body, respectively. In this perspective, we defined "MR3" and "MR5" as "optimal intervention threshold" and "detection threshold". From the literatures, we determined that growth rate of leukemia is distributed between 1%/day and 100%/day (doubling time of leukemic cells is 1 day). Also, we assumed that single cell have a relapse potency and the growth rate is constant during observation in each patient. The number of Ph+ cells in a MR5 patient is distributed between 1 cell and 1 x 107 (MR5). "Success" is defined as if molecular relapse is detected between MR3 and MR5 and "Failure" is defined as if detected more than MR3. Table shows the interval from single leukemia cell to MR5 leukemia burden (1 x 107 cells) and the interval from MR5 to MR3 (X100) according to growth rate. Figure is a graph of Table. We calculated using most extreme cases. In the highest growing speed (100%/day), if the number of Ph+ cells is just below detection level (MR5) , it will take 6.6 days to reach MR3 (optimal intervention threshold). Also, if the number of Ph+ cells is only 1 cell, it will take 23.3 days to reach MR5. The other ultimate condition is that the number of leukemia cells is only one in the body and has the slowest growth rate (1%/day). In this case it will take 1620 days (4.4 years) to reach MR5. It was reported that the growth rate of Ph+ cells in the blastic phase of CML is approximately 8% (doubling time 9 days) (Branford. Blood. 2012;119:4264). Applying this value to our model, it will take 209 days to reach MR5 (detection threshold) from single Ph+ cell. If the number of leukemia cells is just below the detection level (MR5), it will take 60 days to reach MR3 (optimal intervention threshold). In this patient a 2 months interval can detect MRD before it reaches to MR3 (Success). If 1 Ph+ cell remains when TKI is stopped, it will reach the MRD detection level (MR5) in 269 days. If Ph+ cells does not appear until this time, this patient is supposed to be cured in this model. In the clinical setting, growth rate is unknown. Thus in the beginning, a highest growth rate of 100% is applied. (Figure) Monitoring should be performed every 6.6 days for avoiding MRD is detected over MR3 (Failure). If Ph+ cells does not appear until 23.3 days after stop of TKI, which indicate growth rate of 100% is neglected. Because MRD does not increase from MR5 to MR3 during 23.3 days, the growth rate is less than 21.8% from the Table and Graph. At this point, interval MRD monitoring can be prolonged from 6.6 to 23.3 days until 82 days after stop of TKI. Similarly, if Ph+ cells does not appear at 82 days, growth rate is calculated less than 5.8% and interval can be prolonged from 23.3 to 82 days until 290 days. Again if Ph+ cells does not appear, now growth rate is estimated less than 1.6%. Taken together, soon after stop of TKI, frequent monitoring of MRD is needed. The interval can be prolonged with the passage of time. After allogeneic HSCT, the growth rate of leukemia may be down regulated to some extent according to the GVL effect. At the detection of MRD, interventions such as TKI, donor lymphocyte infusion or chemotherapy are started as soon as possible. Thus the tight monitoring according to the mathematical model is important. The current strategy may be applied to other leukemia in which MRD monitoring by PCR is established. Figure. Figure. Disclosures No relevant conflicts of interest to declare.


2015 ◽  
Vol 95 (1) ◽  
pp. 20-26 ◽  
Author(s):  
E.M. Mostafa ◽  
A.M.A. Hassan

Exposure ofAzollaplants to UV-B radiation for 6 h resulted in a decrease in biomass and relative growth rate (RGR), which coincided with an increase in doubling time (DT) as compared with the control. Also, the protein content decreased. On the other hand, hydrogen peroxyde (H2O2) and malondialdehyde (MDA) accumulated significantly in UV-treatedAzollaplants. Conversely, the addition of selenium (Se) at 1 ppm resulted in a significant increase in biomass and protein content of untreated and UV-treatedAzollaplants, and a significant reduction in both H2O2and MDA. Moreover, the addition of Se to UV-treated and untreatedAzollaplants resulted in a significant increase in total ascorbate and total glutathione (GSH) contents compared with the control and UV-stressedAzollaplants. Also, glutathione redox potential (GSH/TG) increased significantly in UV-treatedAzollaplants in the presence of Se. There also was a significant increase (38%) in ascorbate peroxidase (APX) activity in UV-treated plants compared with the control. APX activity in the presence of Se did not change significantly compared with the control. Glutathione reductase (GR) activity increased significantly in UV-treatedAzolla, while glutathione peroxidase (GSH-PX) activity did not. On the other hand, both GSH-PX and GR activity in untreated and UV-treatedAzollaplants were significantly enhanced by the application of Se to the nutrient media at a concentration of 1 ppm. Therefore, we can conclude that Se protectsAzollaplants from UV-B stress.


2015 ◽  
Vol 8s1 ◽  
pp. CGM.S21216 ◽  
Author(s):  
Susan LeGendre-McGhee ◽  
Photini S. Rice ◽  
R. Andrew Wall ◽  
Kyle J. Sprute ◽  
Ramireddy Bommireddy ◽  
...  

Optical coherence tomography (OCT) is a high-resolution, nondestructive imaging modality that enables time-serial assessment of adenoma development in the mouse model of colorectal cancer. In this study, OCT was utilized to evaluate the effectiveness of interventions with the experimental antitumor agent α-difluoromethylornithine (DFMO) and a nonsteroidal anti-inflammatory drug sulindac during early [chemoprevention (CP)] and late stages [chemotherapy (CT)] of colon tumorigenesis. Biological endpoints for drug interventions included OCT-generated tumor number and tumor burden. Immunochistochemistry was used to evaluate biochemical endpoints [Ki-67, cleaved caspase-3, cyclooxygenase (COX)-2, β-catenin]. K-Ras codon 12 mutations were studied with polymerase chain reaction-based technique. We demonstrated that OCT imaging significantly correlated with histological analysis of both tumor number and tumor burden for all experimental groups ( P < 0.0001), but allows more accurate and full characterization of tumor number and burden growth rate because of its time-serial, nondestructive nature. DFMO alone or in combination with sulindac suppressed both the tumor number and tumor burden growth rate in the CP setting because of DFMO-mediated decrease in cell proliferation (Ki-67, P < 0.001) and K-RAS mutations frequency ( P = 0.04). In the CT setting, sulindac alone and DFMO/sulindac combination were effective in reducing tumor number, but not tumor burden growth rate. A decrease in COX-2 staining in DFMO/sulindac CT groups (COX-2, P < 0.01) confirmed the treatment effect. Use of nondestructive OCT enabled repeated, quantitative evaluation of tumor number and burden, allowing changes in these parameters to be measured during CP and as a result of CT. In conclusion, OCT is a robust minimally invasive method for monitoring colorectal cancer disease and effectiveness of therapies in mouse models.


2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Oladosu O. Oladimeji ◽  
Olayanju O. Oladimeji

This research paper's main objective is to quantify and analyze the research output of data mining in West Africa, including (1) growth in publications as measured by the Relative Growth Rate (RGR) and Doubling Time (Dt), (2) productivity and quantification of research output for different institutions of the region (West Africa).


Author(s):  
Gae¨l Pognonec ◽  
Vincent Gaschignard ◽  
Philippe Notarianni

Oil and Gas operators have to deal with the ageing process of their transmission pipeline grid. Some of these pipelines can be inspected using In Line Inspection (ILI) tools. In order to maintain an acceptable integrity level, re-inspection operations have to be performed. This process needs to be optimized in terms of resources and cost. Gaz de France R&D Division has developed a methodology which prioritizes rehabilitation operations on a pipeline after in-line inspections, and determines the optimal interval for re-inspection. A reliable help decision software tool which applies the methodology has also been developed. Dealing with defects assimilated to external electrochemical corrosion, the developed methodology is based on: • pigs information in order to assess a probable corrosion growth rate; • probabilistic distribution of input parameters (geometrical characteristics of defects, characteristics of the pipe and corrosion growth rate); • probabilistic methods of calculation : the probability of failure is calculated with the Monte-Carlo method. The convergence of the calculation is accelerated with the Cross Entropy method. The calculation results take the form of three probabilities of failure: • a punctual probability of failure for each defect; • an annual probability of failure for each defect; • an annual probability of failure per kilometer of pipe. To interpret the results, the annual probability of failure per kilometer of pipe is then compared with threshold values.


2019 ◽  
Vol 9 (1) ◽  
pp. 85-89
Author(s):  
Nutan Gaud ◽  
M. P. Singh ◽  
Bhoopendra Singh

The present study aims to analysis authorship pattern and collaboration coefficient of library professional’s competency publications research from 1999-2018. The data has been downloaded by Scopus database. A total number of published articles during the period of study was 433 in the particular database on the topic of ‘professional’s competency’. The study examine various scientometric parameter such as authorship pattern, year wise distribution of publication, determine the annual growth rate and compound annual growth rate of publication, relative growth rate and doubling time of publication and so many. After the analysis, it is found that the highest 11.78% of an article published in the year 2015. The highest growth rate in 2000 and the lowest in 1999. The United States published highest 174 article and secured first place in top five countries wish distribution of the publication. Majority of the article is published by single authors is 171 articles during the period of study.


2019 ◽  
pp. 1-12 ◽  
Author(s):  
Jeffrey West ◽  
Mark Robertson-Tessi ◽  
Kimberly Luddy ◽  
Derek S. Park ◽  
Drew F.K. Williamson ◽  
...  

Purpose In an upcoming clinical trial at the Moffitt Cancer Center for women with stage 2/3 estrogen receptor–positive breast cancer, treatment with an aromatase inhibitor and a PD-L1 checkpoint inhibitor combination will be investigated to lower a preoperative endocrine prognostic index (PEPI) that correlates with relapse-free survival. PEPI is fundamentally a static index, measured at the end of neoadjuvant therapy before surgery. We have developed a mathematical model of the essential components of the PEPI score to identify successful combination therapy regimens that minimize tumor burden and metastatic potential, on the basis of time-dependent trade-offs in the system. Methods We considered two molecular traits, CCR7 and PD-L1, which correlate with treatment response and increased metastatic risk. We used a matrix game model with the four phenotypic strategies to examine the frequency-dependent interactions of cancer cells. This game was embedded in an ecological model of tumor population-growth dynamics. The resulting model predicts evolutionary and ecological dynamics that track with changes in the PEPI score. Results We considered various treatment regimens on the basis of combinations of the two therapies with drug holidays. By considering the trade off between tumor burden and metastatic potential, the optimal therapy plan was a 1-month kick start of the immune checkpoint inhibitor followed by 5 months of continuous combination therapy. Relative to a protocol giving both therapeutics together from the start, this delayed regimen resulted in transient suboptimal tumor regression while maintaining a phenotypic constitution that is more amenable to fast tumor regression for the final 5 months of therapy. Conclusion The mathematical model provides a useful abstraction of clinical intuition, enabling hypothesis generation and testing of clinical assumptions.


Thyroid ◽  
2019 ◽  
Vol 29 (10) ◽  
pp. 1418-1424 ◽  
Author(s):  
Mijin Kim ◽  
Sae Rom Chung ◽  
Min Ji Jeon ◽  
Minkyu Han ◽  
Jeong Hyun Lee ◽  
...  

1988 ◽  
Vol 6 (3) ◽  
pp. 457-461 ◽  
Author(s):  
W M Gregory ◽  
B G Birkhead ◽  
R L Souhami

A mathematical model has been applied to patients with small-cell lung cancer (SCLC) in order to estimate the proportions of resistant and sensitive tumor at presentation, and the efficacy of the treatment, measured in terms of proportions of tumor killed with each cycle of therapy. The model uses estimates of tumor volume obtained from computed tomographic (CT) scans of the chest before each course of chemotherapy. Application of the model to a trial using single-agent high-dose cyclophosphamide (HDC) showed that HDC killed approximately 94% of the sensitive tumor on each application, but that the proportion of tumor resistant to HDC rose from an average of 1% to an average of 15% after the first cycle, assuming a 30-day tumor doubling time. These estimates proved fairly insensitive to different assumptions about tumor doubling time and inaccuracies in volume measurement and may thus provide a useful additional evaluation technique for some clinical trials.


2019 ◽  
Vol 29 (01) ◽  
pp. 1950009 ◽  
Author(s):  
Zonghong Feng ◽  
Xinxing Wu ◽  
Luo Yang

This paper studies a mathematical model for the interaction between tumor cells and Cytotoxic T lymphocytes (CTLs) under drug therapy. We obtain some sufficient conditions for the local and global asymptotical stabilities of the system by using Schur–Cohn criterion and the theory of Lyapunov function. In addition, it is known that the system without any treatment may undergo Neimark–Sacker bifurcation, and there may exist a chaotic region of values of tumor growth rate where the system exhibits chaotic behavior. So it is important to narrow the chaotic region. This may be done by increasing the intensity of the treatment to some extent. Moreover, for a fixed value of tumor growth rate in the chaotic region, a threshold value [Formula: see text] is predicted of the treatment parameter [Formula: see text]. We can see Neimark–Sacker bifurcation of the system when [Formula: see text], and the chaotic behavior for tumor cells ends and the system becomes locally asymptotically stable when [Formula: see text].


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