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  • 1
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Bulletin of Mathematical Biology 40 (1978), S. 359-368 
    ISSN: 0092-8240
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Bulletin of Mathematical Biology 40 (1978), S. 359-368 
    ISSN: 0092-8240
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Bulletin of mathematical biology 40 (1978), S. 359-368 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The two-element muscle model considered consists of a contractile element defined by a hyperbolic force-velocity relation connected in series with an “exponential spring”. Differential equations for the isometrically developed force during a tetanic contraction and the corresponding contractile element shortening velocity are derived and their stability is investigated. Analytical solutions to both equations are obtained. Two numerical examples are given, the second chosen to illustrate pressure-induced hypertrophy of a cardiac muscle.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 21 (1977), S. 487-504 
    ISSN: 1573-2878
    Keywords: Optimal control ; forward dynamic programming ; differential dynamic programming
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The dynamic programming formulation of the forward principle of optimality in the solution of optimal control problems results in a partial differential equation with initial boundary condition whose solution is independent of terminal cost and terminal constraints. Based on this property, two computational algorithms are described. The first-order algorithm with minimum computer storage requirements uses only integration of a system of differential equations with specified initial conditions and numerical minimization in finite-dimensional space. The second-order algorithm is based on the differential dynamic programming approach. Either of the two algorithms may be used for problems with nondifferentiable terminal cost or terminal constraints, and the solution of problems with complicated terminal conditions (e.g., with free terminal time) is greatly simplified.
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  • 5
    Publication Date: 1977-04-01
    Print ISSN: 0022-3239
    Electronic ISSN: 1573-2878
    Topics: Mathematics
    Published by Springer
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  • 6
    Publication Date: 1985-09-01
    Print ISSN: 0016-0032
    Electronic ISSN: 1879-2693
    Topics: Mathematics , Technology
    Published by Elsevier
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  • 7
    Publication Date: 2016-12-02
    Description: Background: Follicular lymphoma (FL) is an indolent lymphoma with chronically relapsing disease course. Treatment of relapses with 2nd line regimens such as salvage and autologous stem cell transplant (ASCT) is considered successful, i.e. the relapse itself does not shorten life expectancy. However, LymphoCare registry study (Casulo et al., JCO 2015) identified an early progression of the disease (POD24, i.e. progression within 24 months after R-CHOP commencement) to be a strong unfavorable event. Early progressors experienced only 50% 5-year OS compared to 90% in the control group) irrespective of the salvage treatment delivered. It is unclear whether post R-CHOP maintenance immunotherapy (MAINT) decreases POD24 incidence. Potential predictors identifying patients at risk of POD24 have not been analyzed yet. Aims: (1) To analyze the impact of MAINT on POD24 occurrence, (2) to find clinically applicable predictors of POD24 at the time of FL diagnosis. Methods: The Czech Lymphoma Study Group (CLSG) database was searched using the LymfoCare (LC) study methodology for previously untreated FL grade I-IIIa patients (pts), CS II-IV (Ann Arbor), no watch-and-wait before R-CHOP. Early progressors were defined as pts with progression or relapse within 24 months after FL diagnosis. OS was calculated both from diagnosis and from the Risk-defining event (rdOS) - it means from the date of early progression (POD group) or 24 months after diagnosis (non POD group). We have identified 821 FL pts, who met the inclusion criteria above and were diagnosed before DEC-2014. Median age of the CLSG group (58 years; range 26-82 years) was identical to the LC group (58 years; 22-88). Fifty-eight percent were females (46% in LC) and 50.5 % had high risk FLIPI (44% in LC). 80.8% of our pts had FL grade I-II and 19.2% had FL grade IIIa (62% and 38% in LC, respectively) Results: Treatment response was available in all but 15 pts (99.9%): CR/CRu, PR and SD/PD was achieved in 70.0%, 25.5% and 4.5%, respectively. After median follow up of 5.02 years 244 (29.7%) pts relapsed or progressed and 101 (12.3%) of the pts died. Five year OS and progression-free survival (PFS) was 90.1% (95% CI 0.88-0.92) and 63.7% (95% CI 0.60-0.68), respectively. In total, 99 POD24 (12.3%) were identified in the whole cohort of 821 patients. Five-year OS without POD24 (93.8%) was superior to 5-year OS in the POD24 group (64.3%, p
    Print ISSN: 0006-4971
    Electronic ISSN: 1528-0020
    Topics: Biology , Medicine
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  • 8
    Publication Date: 2019-11-13
    Description: Introduction: Mantle cell lymphoma (MCL) is rare B-cell lymphoma subtype with usually aggressive behavior. Mutations of TP53 gene and complex karyotype (CK) were described to be poor prognostic factors (Obr A et al, 2018), but their impact on primary resistance to induction has not been investigated. Methods: We analyzed 115 MCL patients (pts) treated in two Czech university centers from 4/2006 to 10/2016. Both classical cytogenetics and next generation sequencing (NGS, MiSeq, Illumina) for TP53 mutation detection were performed on tumoral tissue (peripheral blood, bone marrow) in all patients. Cut-off for TP53 mutation was 1% variant allele frequency (VAF). CK was defined as 3 and more cytogenetic aberrations in one cell population. Pts with stable or progressive disease (SD/PD) during induction or with relapse within 6 months after induction completion were considered as primary refractory (PrR). Variables were compared by chi-squared test. T-test was used to compare the difference between means of TP53 mutation load in PrR+ and PrR- subgroup. Cut-off for TP53 mutation load (27%) was established as median VAF. Overall and progression free survival (OS, PFS) were calculated from the date of diagnosis. Results: The median age at diagnosis was 66 (40-87) years. Ninety-six percent of pts had advanced disease (III and IV). MIPI score was low, intermediate and high in 19.1%, 27.8% and 53.0% pts, respectively. Induction regimens used were as follows: R-CHOP/R-CHOP-like in 47.8%, intensive R-HDAC-containing in 38.3% and non-anthracycline regimen in 9.6% pts. Complete and partial response was achieved in 53.0% and 27.0% pts, resp. SD/PD was observed in 11.3% pts. Overall, 27 (23.5%) pts were considered as primary refractory. TP53 mutation and CK were present in 37 (32.3%) and 15 (13.0%) pts, respectively. Age, disease stage, ECOG score, MIPI, HDAC therapy and CK did not correlate with PrR status. Significantly higher TP53 mutation load was observed in the PrR+ (42%), compared to PrR- subgroup (25%, p=0.03). After median follow-up of 4.6 years, 3-year overall survival (3-y OS) and 3-year progression free survival (3-y PFS) in all pts was 65.8% and 50.9%, resp. Median OS in PrR+ and PrR- pts was 9.2 months, and 4.5 years, resp. Survival analysis stratified according to the TP53 mutation status/mutation load showed 3-y OS and 3-y PFS for wild type (TP53-WT), low mutation load (TP53-low load), high mutation load (TP53-high load) 74.2%, 47.6%, 33.3% and 56.0%, 37.0%, 27.8%, respectively (p=0.001 both). Conclusions: High TP53 mutation load (〉27% VAF), but not CK, has significantly correlated with refractory disease in MCL pts. Pts with high mutation load of TP53 gene should be considered to an innovative treatment. Acknowledgement: Supported by IGA_LF_2019_001, MH CZ - DRO (FNOl, 00098892), AZV16-32339A and AZV16-31092A grants Figure Disclosures Trneny: Morphosys: Consultancy, Honoraria; Janssen: Consultancy, Honoraria; Roche: Consultancy, Honoraria; Bristol-Myers Squibb: Consultancy, Honoraria; Amgen: Consultancy, Honoraria; Abbvie: Consultancy, Honoraria; Incyte: Consultancy, Honoraria; Gilead sciences: Consultancy, Honoraria; Takeda: Consultancy, Honoraria.
    Print ISSN: 0006-4971
    Electronic ISSN: 1528-0020
    Topics: Biology , Medicine
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  • 9
    Publication Date: 2018-11-29
    Description: Background: Frontline therapy of Hodgkin lymphoma (HL) is strictly stage-adapted. Staging systems used are based on historical variables which only indirectly reflects tumor load (Ann Arbor stage) or lymphoma cytokine activity (systemic symptoms, erytrocyte sedimentation rate). With new, abbreviated interim PET-tailored chemotherapy schemes (2+2) and reduced radiotherapy protocols, there is a clinical need for precise staging tools. Last years have brought new insight into the prognostic role of metabolic quantitative PET parameters and HL-associated biomarkers. Total metabolic tumor volume (TMTV) measured using fluoro-deoxyglucose PET (FDG-PET) was found to be a predictor of therapy failure after frontline treatment (Kanoun 2014). Interestingly, TMTV was found capable of identifying poor responders within one (intermediate) staging group (Akhtari, 2018; Cottereau 2018). Serum concentrations of thymus and activation-regulated chemokine (TARC) and other cytokines have been proved to have prognostic significance in the patients treated both in the frontline and relapse setting (Moskowitz, 2015; Guidetti 2017). A relationship between pretreatment TMTV, baseline cytokines levels, and current staging systems has not been analyzed yet. Aim: To analyzed quantitative metabolic PET parameters and selected soluble biomarkers in the context of the staging systems used in the U.S. and Europe Methods: We have analyzed a prospectively enrolled cohort of forty-eight patients with HL who were diagnosed in two large university medical centers from 5/2015 to 2/2018. All pts have undergone pretreatment FDG-PET/CT with quantitative analysis of TMTV, Total Lesion Glycolysis (TLG), Maximum Standardized Uptake Volume (SUVmax.) and the Largest Tumor Diameter (LD) and were sampled for cytokine analysis within 16 (median) days from the PET/CT. We have analyzed a set of four serum biomarkers: CD30 (sCD30), CD163 (sCD163), TARC, and interleukin 6 (sIL6), which were measured using ELISA assays. Results: A cohort consisted of 22 males and 26 females with median age of 42 years (range 21-75). Histology subtype was known in all but one case: nodular sclerosis in 23, mixed cellularity 15, lymphocyte-rich in 5 and nodular-lymphocyte predominant (NLPHL) in four. Ann Arbor stages were as follows: I in 5, II in 20, III in 13 and IV in 10 of the pts with systemic symptoms in 20 (42%) of them. All pts were classified according to the German Hodgkin Study Group (GHSG) and NCCN staging systems. GHSG stages - limited, intermediate and advanced were seen in 8 (17%), 10 (21%) and 30 (62%) pts, respectively. NCCN stages were distributed into early favorable in 8 (17%), early unfavorable in 17 (35%) and advanced in 23 (48%) of the pts. Chemotherapy was applied in all but four pts using: BEACOPPesc, combined BEACOPP+ABVD, ABVD and ABV/COPP protocols in 7, 15, 16 and six pts respectively. Of four pts without chemo one case was treated with local radiotherapy and three with WaW (all of them with NLPHL). Treatment response was known in 41 (85%) of the cases with CR, PR, and PD in 33 (80.5%), 6 (14.6%) and two (4.9%) pts, respectively. Relationships between disease stages and PET-parameters are summarized in Table 1. Briefly, metabolic tumor burden (TMTV, TLG) identified two markedly different groups: low and intermediate/high risk. Similarly, cytokines levels were significantly lower in low-risk patients compared to those with intermediate-high risk (Table 2). Treatment outcome did not correlate either with GHSG nor NCCN stage. We found correlation of sIL-6 (p=0.03) but not sCD30 (p=0.09), sCD163 (p=0.14) and TARC (p=0.57) with CR achievement. In terms of PET-parameters the high TMTV〉104 cm3 (P=0.046) and TLG〉798 (P=0.003) were associated with not achieving of CR with NPV, PPV and test accuracy of 94.4, 22.0, 58.5 for TMTV and 100%, 36,4%, 66% for TLG, respectively. Conclusion: Adequate frontline treatment policy is vital for achieving an optimal balance between efficacy and toxicity. Current staging systems have a weak correlation with metabolic tumor burden: one-third of those recognized as advanced stage have the low burden, and vice versa about a half of intermediate-risk pts have high tumor burden. Combination of TMTV/TLG and cytokines can be currently used for decision making in borderline stage cases and probably could serve as a backbone for a new staging system in the future. Acknowledgment: IGA_LF_2018_004, MH CZ-DRO (FNOL, 00098892) Disclosures No relevant conflicts of interest to declare.
    Print ISSN: 0006-4971
    Electronic ISSN: 1528-0020
    Topics: Biology , Medicine
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  • 10
    Publication Date: 2019-11-13
    Description: Background: Early events within 24 months (POD24) of initial immunochemotherapy (IC) were repeatedly confirmed to be associated with poor survival in follicular lymphoma (FL). Rituximab maintenance (RM) given to responding patients after IC is effective strategy to reduce relapse incidence and improve survival (Salles, Lancet 2011; Hill, BJH 2019). There is little known about the POD24 incidence pattern in chemosensitive patients, and the impact of subsequent RM application for POD24 reduction has not been studied yet. Aim: To (1) analyze the role of POD24 events in patients with responding FL and (2) describe whether post-induction RM changes the pattern of POD24 incidence and possibly post-POD24 outcome of the patients. Methods: The study comprised patients prospectively enrolled in the Czech Lymphoma Study Group network (ClinicalTrials.gov: NCT03199066) in 2000-2015, with grade 1-3A FL and treated with frontline R-CHOP/R-CHOP-like or R-bendamustine or R-CVP IC. Cases with previous WaW were not enrolled. No frontline stem cell (auto/allo) transplant was allowed. Only patients who achieved complete (CR/CRu) or partial remission (PR) at the end of induction (EOI) and were thus potential candidates for RM were included. Early event was defined as progression, relapse or death within 24 months after the date of EOI response assessment. Overall (OS) and progression-free survival (PFS) were calculated from the date of diagnosis and date of EOI response (OS-EOI). Patients who experienced an event before the median time to RM initiation were excluded from POD24 survival analyses to avoid overestimation of the RM group results. Results: A total of 1089 patients were identified, of whom 729 (67%) received RM (maintenance group) and 360 (33%) were followed without RM (observation group; OBS). When comparing both groups, we found no differences in age (median age 59 yrs for both; P=0.54), sex distribution (males 39% vs. 41% in OBS vs. RM, respectively; P=0.37) and ECOG 0-1 (90% vs. 93% in OBS vs. RM; P=0.10). There was a slightly lower proportion of advanced FL (Ann Arbor III-IV) in OBS (80%) as compared to RM (87%, P=0.01), which translated into a lower proportion of high FLIPI patients (46% vs. 52% in OBS vs. RM, respectively; P=0.003). The induction regimens were as follows: R-CHOP in 70% and 83%, R-COP in 18.6% and 10.7%, R-bendamustine 1% and 4%, R-fludarabine-based in 4% and 1% and others in 5% and 1% in RM and OBS, respectively. The EOI remission status was assessed 61 days (median) after the last IC dose with CR/CRu/PR rates of 65%/9%/26% and 65%/6%/29% in OBS and RM, respectively (P=0.14). The median time from EOI response to the first RM dose was 48 days (range 0-371 days), 89% of the pts have started RM within 120 days. The median number of RM doses given was 8 (range, 1-36), with 85% of patients receiving 8-12 doses of RM. After a median follow-up of 10.4 yrs (OBS) vs. 6.0 yrs (RM); P
    Print ISSN: 0006-4971
    Electronic ISSN: 1528-0020
    Topics: Biology , Medicine
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