a pharmacokinetic/pharmacodynamic model of tumor lysis … · 2013. 1. 8. · 24 conflict of...
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1
A Pharmacokinetic/Pharmacodynamic Model of Tumor Lysis Syndrome in Chronic 1
Lymphocytic Leukemia Patients Treated with Flavopiridol 2
3 Jia Ji1, Diane R. Mould2,3, Kristie A. Blum1,4, Amy S. Ruppert4, Ming Poi1, Yuan Zhao3, Amy J. 4
Johnson1,4, John C. Byrd1,4,5, Michael R. Grever1,4, Mitch A. Phelps1,3 5
6 1The Comprehensive Cancer Center, The Ohio State University, Columbus, OH 43210 USA 7
2Projections Research, Inc., Phoenixville, PA 19460 USA 8
3Division of Pharmaceutics, College of Pharmacy, The Ohio State University, Columbus, OH 9
4Division of Hematology, Department of Internal Medicine, College of Medicine, The Ohio 10
State University, Columbus, OH 11
5Division of Medicinal Chemistry, College of Pharmacy, The Ohio State University, Columbus, 12
OH 13
14
Address correspondence to: Mitch A. Phelps, Ph.D. 15 Assistant Professor 16 The Ohio State University 17 College of Pharmacy, 18 500 W. 12th Ave. 19 Columbus, OH 43210 USA 20 614-688-4370 21 [email protected] 22
23
Conflict of Interest Statement: Dr. Michael Grever and Dr. John Byrd have a use patent on 24
flavopiridol that has not been awarded and currently lacks financial value. All other authors have 25
no potential conflict of interest to report. 26
27
Keywords: chronic lymphocytic leukemia, flavopiridol, tumor lysis syndrome, population 28
pharmacokinetics, glucuronide metabolite, logistic regression model29
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Statement of Translational Relevance 30
Tumor lysis syndrome (TLS) is an oncologic emergency requiring immediate intervention to 31
prevent severe kidney damage, cardiac arrhythmias and death. Although rare in patients with 32
refractory chronic lymphocytic leukemia (CLL) and despite aggressive prophylactic measures, 33
hyper-acute TLS occurs frequently in refractory CLL patients treated with single-agent cyclin-34
dependent kinase inhibitors (CDKIs), flavopiridol and dinaciclib. While these agents are 35
impressively active in refractory and cytogenetically high-risk CLL, the prevalent and 36
unpredictable occurrence of TLS limits their broad clinical use. This manuscript presents the first 37
PK/PD model of TLS and explores the unique associations of female gender and metabolite 38
pharmacokinetics with TLS induced by flavopiridol therapy in CLL patients. This model offers a 39
tool enabling estimation of TLS probability in CLL patients prior to therapy with flavopiridol, 40
and it represents a general framework through which the mechanisms of TLS induced by CDKI 41
therapy in CLL patients can be further studied. 42
43
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Abstract 44
Purpose: Flavopiridol, the first clinically evaluated cyclin dependent kinase inhibitor, 45
demonstrates activity in patients with refractory chronic lymphocytic leukemia, but prevalent and 46
unpredictable tumor lysis syndrome (TLS) presents a major barrier to its broad clinical use. The 47
purpose of this study was to investigate the relationships between pretreatment risk factors, drug 48
pharmacokinetics, and TLS. 49
Experimental Design: A population pharmacokinetic/pharmacodynamic model linking drug 50
exposure and TLS was developed. Plasma data of flavopiridol and its glucuronide metabolite 51
(flavo-G) were obtained from 111 patients treated in early phase trials with frequent sampling 52
following initial and/or escalated doses. TLS grading was modeled with logistic regression as a 53
pharmacodynamic endpoint. Demographics, baseline disease status, and blood chemistry 54
variables were evaluated as covariates. 55
Results: Gender was the most significant pharmacokinetic covariate, with females displaying 56
higher flavo-G exposure than males. Glucuronide metabolite exposure was predictive of TLS 57
occurrence, and bulky lymphadenopathy was identified as a significant covariate on TLS 58
probability. The estimated probability of TLS occurrence in patients with baseline bulky 59
lymphadenopathy < 10 cm or > 10 cm during the first two treatments was 0.111 (SE% 13.0%) 60
and 0.265, (SE% 17.9%) respectively, when flavo-G area under the plasma concentration vs. 61
time curve was at its median value in whole patient group. 62
Conclusions: This is the first population pharmacokinetic/pharmacodynamic model of TLS. 63
Further work is needed to explore potential mechanisms and to determine if the associations 64
between TLS, gender and glucuronide metabolites are relevant in CLL patients treated with other 65
cyclin dependent kinase inhibitors. 66
67
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Introduction 68
As the first cyclin-dependent kinase inhibitor (CDKI) in clinical trials, flavopiridol has been 69
investigated as a single agent and in combination regimens to treat numerous malignancies. The 70
initial dosing regimen using continuous infusion showed limited clinical activity and few 71
responses (1-13). A novel, pharmacokinetically guided dosing schedule was subsequently 72
developed to achieve target cytotoxic concentrations in patients with chronic lymphocytic 73
leukemia (CLL) (9, 14, 15). This significantly improved efficacy in refractory CLL patients with 74
40% and 53% of patients achieving objective responses in phase I and II trials, respectively (9, 75
15), including one patient who achieved a complete response (CR). Notably, most CLL patients 76
in both trials were heavily pretreated and not responsive to traditional therapies and/or harbored 77
high-risk cytogenetics and bulky lymphadenopathy (16). This improvement in clinical activity 78
with the new flavopiridol dosing regimen highlighted the importance of achieving active 79
concentrations and exposure durations required for drug activity. 80
81
The dose-limiting toxicity for this dosing regimen in CLL patients was tumor lysis syndrome 82
(TLS) and was observed in 53 out of 116 patients studied on these two trials (17). TLS is 83
characterized by a series of metabolic disorders induced by rapid tumor cell death and release of 84
toxic cellular contents into circulation (18, 19). It is defined by abnormal elevation in serum uric 85
acid, potassium, phosphate and lactate dehydrogenase (LDH), leading to serious complications 86
such as neurological abnormalities, kidney damage, cardiovascular events, and potentially death 87
(18, 19). TLS is typically rare in CLL, and its prevalence with the pharmacokinetically guided 88
dosing regimen of flavopiridol highlights the exquisite and acute sensitivity of CLL to cyclin 89
dependent kinase inhibition. Blum and colleagues identified several pre-treatment risk factors for 90
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TLS in CLL patients treated with flavopiridol (17). TLS occurrence was associated with 91
advanced disease stage, characterized by bulky tumor burden, elevated white blood cell (WBC) 92
count and β2-microglobulin, and reduced albumin level (17). These were consistent with 93
multiple diseases where tumor bulk and disease stage are general risk factors (19). Overall, these 94
produced odds ratios (ORs) for TLS ranging from 1.1 to 2.9. Interestingly, female gender was 95
the most influential of all risk factors identified for TLS occurrence after flavopiridol treatment 96
with an OR of 8.6 (95% CI: 2.6-27.7). Gender has not been previously reported as a risk factor 97
for TLS. While these factors serve as useful indicators for increased risk of TLS, many CLL 98
patients who experienced TLS would not have been identified by the combined risk factors. 99
100
Glucuronide conjugation accounts for the majority of metabolic transformation of flavopiridol 101
(20, 21). Glucuronidation can be influenced by factors such as age, gender, cigarette smoking 102
and obesity (22). In vitro studies showed that isoform UGT1A9 is predominantly responsible for 103
conversion of flavopiridol to 7-O-β-glucopyranuronosyl-flavopiridol (Flavo-7-G), which 104
accounts for 98.5% of glucuronidation product(20, 21). UGT1A1 or UGT1A4 are reported to 105
catalyze formation of 5-O-β-glucopyranuronosyl-flavopiridol (Flavo-5-G), the minor 106
glucuronidation product (20, 21). These metabolites (flavo-G) have been presumed inactive, 107
although studies evaluating their activity have not been reported. Flavo-G conjugates are 108
presumed to be formed predominantly in liver, although UGT activity in other tissues, including 109
lymphocytes, may also contribute. These conjugates, along with parent drug, are eliminated 110
through biliary and renal excretion with the majority of flavopiridol and flavo-G found in 111
bile/feces. Evidence for enterohepatic recirculation of flavopiridol has been reported (23, 24). 112
Glucuronidase activity in the gut may convert flavo-G to flavopiridol, allowing further 113
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flavopiridol reabsorption. We previously reported that flavo-G, the primary flavopiridol 114
metabolites, were associated with TLS in the phase I study (14). In the study by Blum and 115
colleagues, this trend was apparent in a subset of 86 of the patients with flavo-G PK data. 116
Interestingly, this analysis also identified the association between flavo-G and gender, where 117
females had higher plasma flavo-G concentrations and areas under the concentration-time curves 118
(AUC). 119
120
With the increased development of targeted therapies, TLS is becoming more prevalent and is 121
now observed more commonly in diseases that were previously characterized as low risk for TLS, 122
such as CLL (25-27. Although flavopiridol has demonstrated impressive activity in refractory 123
CLL, the prevalence of TLS has dampened enthusiasm for its broader use in the clinical setting. 124
Recent clinical experience with other cyclin dependent kinase inhibitors such as dinaciclib, 125
suggests TLS may be a class effect in CLL (28). In addition to having similar pharmacodynamic 126
targets, dinaciclib and flavopiridol also have in common a UGT-mediated elimination pathway. 127
Therefore, understanding the relationships between drug and metabolite exposure and occurrence 128
of TLS is imperative to further the development of CDKIs in CLL. 129
130
The purpose of this study was to model TLS occurrence in CLL patients treated with flavopiridol 131
and to explore the relationships and relative contributions of parent drug, glucuronide metabolite, 132
and pre-treatment risk factors to TLS occurrence. TLS has not previously been modeled using a 133
pharmacokinetic/pharmacodynamic (PK/PD) nonlinear mixed effects approach. Herein we 134
describe the first PK-PD model linking drug and metabolite exposure to TLS. 135
136
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Methods 137
138
Patients 139
Subjects included in this study were patients with relapsed, symptomatic CLL or small 140
lymphocytic lymphoma (SLL) or prolymphocytic leukemia arising from CLL treated with 141
flavopiridol monotherapy in phase I and II studies. Both studies were conducted at The James 142
Cancer Hospital at The Ohio State University in Columbus, Ohio. The studies were reviewed and 143
approved by the institutional review boards of The Ohio State University and signed informed 144
consent was obtained from all patients. Each patient received a maximum of six cycles with each 145
cycle containing 3 or 4 weekly treatments. Patients were treated at 30 mg/m2 half-hour s infusion 146
followed by 30 mg/m2 as a 4-hour infusion at first dose in Cycle 1. Depending on toxicity 147
occurrence, the 4-hour infusion dose was escalated to 50 mg/m2 either at the second dose in 148
Cycle 1 or at the first dose in Cycle 2. Two patients in the phase I study received 40 mg/m2 each 149
for the half-hour and 4-hour infusions. The details of enrollment criteria, study design, treatment 150
and dosing schedule of both trials were reported elsewhere (9, 14, 15). 151
152
Flavopiridol and Flavopiridol Glucuronide PK Analysis 153
Plasma samples were collected between 0.5 and 24, 36 or 48 hours after the first dose and/or 154
escalated dose. Flavopiridol and flavo-G concentrations were measured using liquid 155
chromatography-tandem mass spectrometry methods as previously described (14, 29, 30). 156
157
Definition, prophylaxis, and management of TLS 158
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TLS was defined as an acute elevation in uric acid, potassium, phosphate, and/or lactate 159
dehydrogenase (LDH) within 24 hours of flavopiridol administration. Prophylaxis for TLS was 160
given to all patients with allopurinol, rasburicase, sodium bicarbonate-containing intravenous 161
hydration, and oral phosphate binder. All patients were monitored for 24 hours after dosing for 162
serum potassium level, and those who experienced hyperkalemia or hyperphosphatemia were 163
treated with sodium polystyrene sulfonate (Kayexalate™), furosemide, albuterol, insulin and 164
glucose, calcium, oral phosphate binders, or emergent dialysis (17). Patients who developed TLS 165
or other severe adverse events during the first dose were not dose escalated for subsequent 166
treatments. Hyper-acute TLS was designated where dialysis intervention was required within 6 167
hours of initiating therapy. 168
169
Covariates 170
Baseline variables were collected from all patients before the first dose. They included 6 171
demographic variables (body weight, height, body surface area, age, sex, and race), 4 disease 172
state indices (Rai stage, β2-microglobulin, bulky lymphadenopathy > 10 cm, and ECOG status), 173
and 10 blood chemistry variables (albumin, WBC, creatinine, potassium, uric acid, phosphate, 174
total bilirubin, aspartate aminotransferase (AST), alanine aminotransferase (ALT), and LDH). 175
Baseline creatinine clearance was estimated using the Cockcroft-Gault equation (31). 176
177
Population PK Modeling 178
The population PK of flavopiridol and flavo-G were evaluated using nonlinear mixed effect 179
modeling as implemented in NONMEM (version 7 Level 1.2, ICON Development Solutions, 180
Ellicott City MD, USA) with Intel Visual Fortran compiler (version 11.1.060, Intel Corporation, 181
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Santa Clara, CA, USA). Data were fit using a log transform both sides (LTBS) approach. The 182
first-order conditional estimation (FOCE) method was used throughout the model building 183
process. The minimum objective function value (OFV) was used to compare nested models. A 184
decrease of 6.64 or greater in OFV was considered statistically significant at p<0.01 for nested 185
models. A PK model for flavopiridol was developed first. The PK model for flavo-G was built 186
with the parameters for flavopiridol fixed to their final values. Once the flavo-G model was 187
established, the parameters for both parent drug and metabolite were simultaneously estimated. 188
189
Standard model building approaches were used for both analytes. To establish a base model, 1-, 190
2, and 3 - compartment models were tested. A parameter estimating the fraction of parent drug 191
converted to metabolite (Fm) was described using logit transformation to constrain the value 192
between (0, 1) and was used to link the parent drug and metabolite compartments. Inter-193
individual (IIV) and inter-occasion (IOV) variability were estimated for the PK parameters using 194
an exponential error model. According to the study design, patients started on a low total dose 195
(30mg/m2 bolus + 30mg/m2 infusion dose) and were escalated to a higher total dose (30mg/m2 196
bolus + 50mg/m2 infusion dose) if the low dose was tolerated. Since pharmacokinetic sampling 197
occurred during the first administration of each dose level, inter-occasion variability (IOV) was 198
tested on the two total dose levels in the model of 60 or 80 mg/m2. Terms describing correlations 199
between the inter-individual random effects were included where feasible (e.g. where the 200
correlation was estimable, the model converged successfully, and the OFV was reduced). 201
Residual variability was described using an additive error model (which is proportional after 202
back transformation of the data). 203
204
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Covariate analysis was performed by comparing hierarchical models based on the likelihood 205
ratio test. Continuous covariates were normalized to the median value, which was assumed for 206
missing covariate data. Initially, each covariate was plotted against individual estimates of inter-207
individual variability (e.g. eta values) for screening. Covariate-parameter relationships that 208
displayed a visual trend in the graphical assessment were then introduced singly into the base 209
model separately using equations (1) and (2) for continuous and dichotomous covariates, 210
respectively. 211
TVCLi = θCL × (NCovi)θ1 (1) 212
TVCLi = θCL × θ2Covi (2) 213
In equation (1), TVCLi is the typical value of clearance adjusted with the normalized continuous 214
covariate, NCovi. NCovi represents the continuous covariate for individual i divided by the 215
median value of that covariate. TVCL and θCL are equivalent when the continuous covariate 216
takes the median value (i.e. when NCov = 1). θ1 denotes the estimate of influence of the 217
continuous covariate. In equation (2), TVCLi is the typical value of clearance when the 218
dichotomous covariate takes the value of 0, e.g. SEX = 0 refers to male patients. Covi is the 219
dichotomous covariate for individual i. θ2 is the proportional change in clearance when the 220
dichotomous covariate takes the value of 1. 221
222
Covariates were added to the base model if the decrease in OFV was at least 3.8 units (p<0.05). 223
Clinical relevance was also considered when determining inclusion of a statistically significant 224
covariate in that the effect of a covariate had to change the parameter value by at least 20% over 225
the range of covariate values in the database (selection criteria of 20% was based on standard 226
considerations for bioequivalency(32)). All significant covariates were then added to one model 227
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(the full model) and a stepwise backward deletion procedure was conducted, using the criteria of 228
p<0.01 based on the likelihood ratio test. 229
230
Population PK-PD Modeling 231
As with population PK modeling, NONMEM (with the same compiler and installation) was used 232
for population PK/PD modeling with FOCE and LAPLACE LIKE options. Clinical grading of 233
TLS according to the Common Terminology Criteria for Adverse Events is either 0 (no TLS), 3 234
(present), 4 (Life-threatening consequences; urgent intervention indicated), or 5 (death). All 235
patients whose PK/PD data were used in our study were graded either 0, 3 or 4. Therefore, 236
logistic regression was used to characterize the probability of the PD effect, TLS occurrence 237
(grades 3 or 4), and to evaluate its relationship with drug or metabolite exposure. TLS 238
occurrence during Cycle 1 was therefore modeled as a dichotomous outcome variable. TLS 239
presents as metabolic abnormalities secondary to spontaneous or most commonly cytotoxic 240
treatment-induced rapid tumor cell death. When tumor burden is high prior to the treatment and 241
tumor cells are responsive to the first treatment, rapid cell death causes mass cellular debris 242
released into blood circulation and may lead to elevation of electrolyte levels in blood. Following 243
repeated doses, the decreased tumor burden, and potentially decreased sensitivity to drug, results 244
in a decreased likelihood of TLS. In these two studies, we observed incidence of TLS was 245
highest following the first dose at each dose level, and then decreased to lower or no incidence at 246
later doses. TLS was rarely observed in subsequent cycles, particularly if patients had 247
experienced TLS in the first cycle. Given the low rate of occurrence at later cycles, only TLS 248
during cycle 1 was considered, thus the data included one to four observations per subject. 249
Similarly within Cycle 1, the probability of TLS decreased over time. Thus, the effect of time on 250
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TLS within Cycle 1 was tested by several functions, including exponential, cubic, step, and 251
Bateman functions. Both the maximum concentrations (Cmax) and AUC of flavopiridol and 252
flavo-G were investigated as predictors of TLS. 253
254
First a base model linking drug or metabolite exposure to the probability of TLS was established, 255
then 6 risk factors (sex, β2-microglobulin, bulky lymphadenopathy > 10 cm, WBC, albumin, 256
creatinine clearance) from a multivariate analysis for TLS (17) were evaluated by including one 257
risk factor into the model each time. The model considering effects for time and drug exposure 258
on the logit scale is shown in equation (3). 259
logit [P(TLSik=1)] = αi + βi × (DrugExpik-MedDrugExpi) + η (3) 260
In this equation, The term P(TLSik=1) is the probability of TLS in patient k on day 1 or 8 (i=0) or 261
day 15 or 22 (i=1), where TLS=1 denotes TLS occurrence and TLS=0 denotes no TLS. The 262
effect of drug exposure was evaluated first then added to the base model. Alpha (αi) is the 263
probability of TLS on day 1 or 8 (i=0) or day 15 or 22 (i=1) at median drug exposure. During 264
model development α1 was estimated, but with poor precision, using the function, exp(-265
α1)/(1+exp(-α1)). We therefore evaluated different initial estimates of α1 ranging from -50 to -10. 266
The initial estimate that allowed successful convergence and the lowest OFV (α=-30) was 267
selected. Beta (βi) is the drug exposure factor, where β0 is estimated and β1 is fixed to be 0 (since 268
TLS occurred only on the first or escalated dose). Estimated Cmax and AUC of parent drug and 269
metabolite were tested as predictors of TLS. Cmax or AUC of both compounds at each dose 270
level for each patient was estimated by known dosing amount and post hoc parameters from the 271
final population PK model. AUC values were obtained up to 168 hours after each dose. After 272
drug effect was established, the remaining covariates were examined. Continuous variables were 273
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added to the model in linear function with addition of term γi × (Covik-MedCovi) into equation 274
(3). Gamma (γi) is the covariate factor where γ0 is estimated in Day 1 or 8 and γ1 is fixed as 0 in 275
Day 15 or 22. Covik is the covariate value for the kth patient and MedCovi is the median 276
covariate value. Dichotomous variables were evaluated with separate estimation of the drug 277
exposure factor between two statuses. In equation (3), term βij × (DrugExpijk-MedDrugExpij) is 278
used, e.g. where drug exposure effect was separately estimated in male (j=0) and female (j=1) 279
patients. Eta(η) is the inter-individual random effect which was fixed to zero in this model as the 280
data were too limited to estimate variability. 281
282
Model Evaluation 283
Model evaluation was conducted on the final models. The parameters of the fixed and random 284
effects were examined for reasonable estimation, standard error, shrinkage and correlation. 285
Goodness-of-fit plots were graphed to evaluate model appropriateness. Normality assumption of 286
the random effects was visually checked by histogram and quantile-quantile plots. Visual 287
predictive check (VPC) of the PK models were generated from 1500 simulations. The PD model 288
was evaluated by comparing observed TLS probability and 95% confidence interval (CI) of 289
predicted TLS probability. Predicted probability was calculated for each patient in each day 290
using bootstrap parameters from 1000 bootstrap runs. These 1000 calculated probabilities were 291
used to construct 95% CI of the probability of TLS for a range of drug exposures in Day 1 or 8. 292
The observed probabilities of TLS were compared to the predicted values. 293
294
Results 295
296
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There were 111 unique patients for PK analysis from the phase I and II studies, including 8 297
patients who were retreated after relapse. Eighty-one patients received escalated infusion doses 298
of 50 mg/m2 (70-134.5 mg). There were 1374 and 781 plasma concentration observations of 299
flavopiridol and flavo-G available for modeling, respectively. Flavo-G concentrations were 300
measured in 85 out of 111 patients. The patient population was primarily Caucasian American 301
with a median age of 60 years, and was 70% male. There was a wide range of body weight in 302
this patient group (45.1 kg to 153.7 kg). Most patients were at late stage of disease and had 303
variable WBC count. There was 1 patient (0.9%) with missing data for race, ECOG status, total 304
bilirubin, AST, 2 patients (1.8%) with missing data for potassium and ALT, 3 patients (2.7%) 305
with missing uric acid data and 13 patients (11.7%) with missing phosphate data. Forty-three 306
percent (43%) of patients had TLS in the first cycle. A summary of the demographics of the 307
patients in the database is presented in Supplementary Table 1. 308
309
The overall scheme for the PK model of flavopiridol and flavopiridol glucuronide is presented in 310
Figure 1. A two-compartment PK model with first-order elimination described the disposition of 311
flavopiridol well, as previously reported(14, 29). Individual ETAs for clearance and volume 312
were highly correlated (r > 0.9), so a shared ETA was used with an estimated scale factor applied 313
to the shared ETA for volume of distribution (i.e. CL = TVCL x EXP (ETA1) and V = TVV x 314
EXP (THETA(n) x ETA1), where THETA(n) is the estimated variance scale factor). The 315
population parameter estimates for flavopiridol are presented in Table 1. The clearance, central 316
volume of distribution, distribution clearance, and peripheral volume of distribution were 34.1 317
L/h, 75.8 L, 6.77 L/h, and 91.8 L, respectively. The parameters were estimated with good 318
precision (less than 20-30%) and shrinkage (less than 20%). In the final model, an allometric 319
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function using normalized body weight was applied to clearance parameters with a fixed factor 320
of 0.75 and to volume parameters with a fixed factor of 1. Flavopiridol PK parameters including 321
this body size factor were consistent with our previous model that utilized body surface area as a 322
covariate (14). We also observed a significant effect in univariate analysis from sex with females 323
having 12.3% lower CL compared to males (△OFV = -7.9). However, since sex and body weight 324
were correlated, we used normalized body weight which had better precision and lower 325
shrinkage compared to sex. No other covariates met the cutoff criteria for inclusion in the final 326
flavopiridol model. Plots of the observed concentrations versus the population and individual 327
predictions are presented in Figure 2, and residual plots are presented as supplementary data. The 328
VPC plot in Figure 2 demonstrates the 95% CI and prediction intervals (PI) adequately describe 329
the observed concentrations at each time point with no notable bias. VPC plots provided as 330
supplementary data, with patients stratified by weight (< 80 kg and ≥ 80 kg), demonstrate similar 331
flavopiridol CI and PI between the two categories. 332
333
A two compartment-model was also selected to describe flavo-G plasma concentration-time 334
profiles. To address identifiability limitations, since clearance of parent drug in metabolic or 335
non-metabolic pathways could not be distinguished by plasma sampling of metabolite alone, a 336
parameter for the fraction of parent drug converted to metabolite, Fm, was estimated using 0.5 as 337
an initial estimate based on preliminary DMPK data. During model development. PK parameters 338
of both parent drug and metabolite were simultaneously estimated, and the model successfully 339
converged. However, Fm was fixed during covariate analysis to avoid terminated runs. This 340
approach for estimating Fm has been presented in recent literature(33). This parameter did not 341
include a term for inter-individual variability. Random effects on flavo-G volumes of distribution 342
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were also unidentifiable and were therefore not included. Using the base model with both 343
flavopiridol and glucuronide metabolite, sex was the only significant covariate on metabolite 344
clearance, suggesting clearance of flavo-G in female patients was approximately half the 345
clearance of male patients. Population parameter estimates of flavo-G are shown in Table 1. 346
Figure 3 shows goodness-of-fit plots of the PK model of flavo-G and its VPC stratified by sex. 347
Residual plots for flavo-G are provided as supplementary data. 348
349
The estimated parameters for the model describing the probability of TLS are shown in Table 2. 350
Because most TLS events occurred in Day 1 or 8, a step function with time effect provided the 351
best estimate of TLS probability within this dataset. A linear function was used to evaluate the 352
relationship between drug exposure and TLS probability on day 1 or 8. Inclusion of flavopiridol 353
Cmax or AUC did not improve the model, while inclusion of flavo-G Cmax or AUC led to a 354
significant decrease in OFV (p<0.01), suggesting that exposure to flavo-G was predictive of TLS. 355
Successful convergence was obtained when flavo-G AUC was included, and it was therefore 356
selected for use in the final model. 357
358
We evaluated the potential influence of patient drop-out during Cycle 1 of the study. Among 7 359
patients who dropped out after Day 1, 4 patients dropped out due to TLS and 3 due to other 360
toxicities. Patients who dropped out at Day 15 or 22 did so for reasons other than TLS. 361
Compared with number of patients having TLS at Day 1 (n=25) or Day 8 (n=26), the number of 362
patients who dropped out due to TLS was low. Overall, drop-outs in this study were deemed to 363
post no significant influence and minimal impact. 364
365
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For PD model covariate analysis with 6 risk factors, inclusion of β2-microglobulin (∆OFV=-366
16.05), WBC (∆OFV=-10.41), bulky lymphadenopathy > 10 cm (∆OFV=-9.54), or creatinine 367
clearance (∆OFV=-8.34) into the model resulted in significant decreases in OFV (p<0.01) with 368
successful convergence. The other factors evaluated (sex (∆OFV=-3.25) or albumin (∆OFV=-369
1.55)) did not result in significant reductions of OFV and were not considered further. When 370
both β2-microglobulin and bulky lymphadenopathy status were included in the model, OFV 371
change was -19.823 (∆OFV=-19.823) with successful convergence. However, there was a strong 372
correlation between β2-microglobulin level and bulky lymphadenopathy status (p<0.01). 373
Inclusion of creatinine clearance and bulky lymphadenopathy status did not yield a model for 374
which standard errors were estimated. Therefore, only bulky lymphadenopathy status was 375
retained in the final PD model. 376
377
Using the final model, the estimated probability of TLS occurrence in patients with baseline 378
bulky lymphadenopathy < 10 cm during the first two treatments was 0.111 when flavo-G AUC 379
was at its median value of 13.6 μg/mL×h (range 3.21-141μg/mL×h) in all patients. This 380
probability increased to 0.265 when patients had bulky lymphadenopathy > 10 cm at baseline 381
and when flavo-G AUC was at the same median value. The increasing trend of TLS probability 382
with flavo-G AUC, however, was similar in both groups of patients, based on the similarity of 383
estimated slopes. All pharmacodynamic parameters were well estimated with good precision in 384
the final model. Figure 4 shows observed TLS probability versus time in Cycle 1 was well 385
covered by the 95% CI of predicted TLS probability, regardless of gender effect. At Day 1 or 8 386
in Cycle 1, this model gave 95% CI of predicted TLS probability against increasing flavo-G 387
AUC that matched the observed linear trend, with the narrowest overall confidence interval 388
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18
among all covariates considered (Figure 4). Plots showing predicted TLS probability vs. parent 389
drug AUC and predicted vs. observed TLS probability are provided in the supplement. 390
391
Discussion 392
393
In patients with refractory CLL, flavopiridol has demonstrated significant efficacy with TLS as 394
the dose-limiting toxicity. Although TLS reflects rapid and high activity for flavopiridol to 395
destroy CLL tumor cells, a recent analysis of clinical outcomes data indicated TLS was not 396
associated with objective response (17). Furthermore, the probability of TLS was not associated 397
with flavopiridol PK. While the probability of TLS was associated with expected pre-treatment 398
variables, including bulky disease and WBC, it was also associated with unexpected variables, 399
including gender and flavo-G PK. Outside of flavopiridol in CLL, TLS had not been previously 400
associated with gender or glucuronide metabolite levels. We therefore sought to further explore 401
the apparent links between TLS, gender and flavo-G. 402
403
The final PK model estimated unexplained proportional residual error of 39.6% and 55.8% in 404
parent compound and metabolite concentration estimates, respectively. Additional covariates that 405
can explain such high variability are yet to be identified. With such high residual error, 406
sequential modeling of parent drug and metabolite were conducted first to estimate PK 407
parameters for each compound, followed by simultaneous modeling with these parameter 408
estimates as initial estimates to ensure convergence. We recently reported that pharmacogenetic 409
factors significantly contribute to flavopiridol and flavo-G (29), and such factors will likely 410
improve the model. However, pharmacogenetic data were not available for a large proportion of 411
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19
patients in this dataset. While imputation methods are available for genotype data, these methods 412
require either larger datasets and/or prior validated information relating genotype and phenotype 413
or use of linkage disequilibrium to infer genotypes from determined genotypes. (34-38). We 414
therefore concluded evaluation of pharmacogenetics as a covariate in this model to be 415
impractical. Other missing covariates were imputed with the median value, which is a common 416
imputation method to deal with limited missing data. The disadvantage to this method of 417
imputation is that covariate distribution may be clustered around the median value thus under-418
estimating the covariate effect. We determined this impact should be minimal since the 419
percentage of missing data is is less than 12% in one covariate and less than 3% for all other 420
covariates used. 421
422
For development of the PK model, body weight and gender were determined to improve the 423
models for flavopiridol and flavo-G clearance, respectively. Other groups have shown flavo-G 424
elimination is primarily due to biliary and fecal excretion (21, 23). In support of this, our results 425
suggest flavo-G deposited into urine represents less than 5% of the total dose of flavopiridol 426
(data not shown). Due to inability to robustly estimate Fm, we were not able to effectively 427
determine the impact of gender or other covariates on the fraction of flavopiridol converted to 428
flavo-G. Therefore, the gender effect may be more appropriately attributed to flavo-G formation 429
as opposed to flavo-G clearance. Gender differences in UGT enzyme expression and/or activity 430
have been observed in animal models and in humans (39-41)(42)(43, 44). However, data are not 431
clear with respect to gender specific expression and activity for UGT1A9. Future studies are 432
needed to better define how gender may influence flavo-G formation and/or elimination. 433
434
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20
Pharmacodynamic modeling of TLS probability utilized a logistic regression model. The sharp 435
decrease in TLS probability after the first and second doses was handled with a step function 436
based on time. As the most significant risk factor in a multivariate analysis (17), gender was 437
investigated in the covariate analysis for the PD model. However, it was not shown to be a 438
significant PD covariate in this analysis. This may be explained by our use of gender as a 439
covariate on flavo-G PK with females having higher exposure. Since flavo-G AUC was the drug 440
exposure factor used to scale TLS probability, the gender effect was already present and thus was 441
diminished in covariate analysis of the PD model. It is important to note, however, that the 442
exclusion of gender from the current PD model does not necessarily indicate gender is only 443
related to TLS through metabolite PK. It is still possible that females have an increased 444
probability of developing TLS by some unknown mechanism not related to PK. 445
446
Inclusion of β2-microglobulin level gave the highest OFV changes, although it gave the widest 447
confidence intervals for TLS probability. Inclusion of bulky lymphadenopathy status produced a 448
significant decrease in OFV and demonstrated the narrowest confidence intervals in modeling 449
TLS probability with respect to flavopiridol glucuronide AUC. The different behaviors of these 450
two covariates may be due to the different modeling structures for continuous versus 451
dichotomous covariates. Given the strong correlation between these two covariates, we selected 452
only bulky lymphadenopathy status for inclusion in our final model. However, further 453
consideration for both covariates should be given in future models and in larger datasets. 454
455
Our observed set of associated factors, including gender and glucuronide metabolite PK, may 456
indicate unique mechanisms are involved with flavopiridol induced TLS in CLL. Our final and 457
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21
current model suggests gender may play a role in TLS development through drug metabolite 458
exposure, although the mechanism for this is not clear. We have previously determined flavo-G 459
metabolites were not cytotoxic to CLL cells ex vivo nor were these metabolites formed at 460
detectable levels within human whole blood or in CLL cells ex vivo (data not shown). Therefore, 461
flavo-G is unlikely involved in direct CLL cell killing. Importantly, TLS is a function of both the 462
rate of tumor cell death and the rate of elimination of toxic cellular debris from systemic 463
circulation. Therefore if flavo-G does contribute to TLS, it may do so by interfering with renal or 464
hepatic clearance of cellular debris through unknown mechanisms. It should be noted, however, 465
that while we have observed the association between flavo-G, gender, and TLS in the two 466
independent trials, the PK concentration-time profiles of flavo-G and flavopiridol overlap 467
considerably, thus preventing us from discerning their individual contributions to the occurrence 468
of TLS. 469
470
Diversity in enzyme activities and expression of genes involved in flavopiridol disposition may 471
influence its efficacy and toxicity. A previous study by Ramirez and colleagues demonstrated 472
significant inter-patient variability of flavopiridol glucuronidation in human hepatic microsomes 473
(45). Many factors, including polymorphism effects of UGT genes on flavopiridol disposition are 474
limited. Zhai and colleagues reported a lack of association of UGT1A1*28 and flavopiridol 475
pharmacokinetics(45), and separate reports demonstrated a lack of 1A7 and 1A9 polymorphic 476
effects on gene expression, flavopiridol transformation in vitro, and no changes in flavopiridol 477
disposition in patients (46, 47). Our group previously observed a lack of significant associations 478
of UGT1A1*28 and UGT1A9*22 in multi variable analyses, although these polymorphisms 479
were associated with flavopiridol and/or flavo-G pharmacokinetics in univariate analyses(29). In 480
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22
light of our findings in this current study, a thorough evaluation of polymorphisms in UGT 481
enzymes, particularly UGT1A9, would be warranted in future clinical studies with flavopiridol. 482
If UGT pharmacogenetics proved to be a significant factor contributing to flavo-G disposition 483
and TLS, prospective genotyping may reduce risk for CLL patients receiving flavopiridol 484
therapy. 485
486
This study represents the first population PK-PD approach for modeling TLS. As with other TLS 487
models previously published (48, 49), our model may not be generalizable to other diseases and 488
therapies. Rather than modeling a drug exposure-TLS relationship, which may change with each 489
drug therapy, modeling of a biomarker-TLS relationship may be preferred, if such a biomarker 490
could be identified to be rapidly modulated post flavopiridol therapy and correlate with TLS 491
occurrence and either drug or metabolite levels. However, aside from the current markers used to 492
declare TLS occurrence (potassium, uric acid, phosphate, and LDH), no such marker has been 493
identified.Pre-treatment bulky lymphadenopathy status and β2-microglobulin were correlated 494
with TLS, but these markers were not altered by therapy on a time scale that would be useful for 495
establishing drug exposure-biomarker and biomarker-TLS relationships in a predictive model. 496
Thus we were ultimately left with the glucuronide metabolite as the best observed “biomarker” 497
associated with TLS. The observance of hyper-acute TLS in CLL is rare outside of cyclin 498
dependent kinase inhibitor trials (28, 50). Interestingly, TLS is also observed in CLL patients 499
treated with dinaciclib, a second generation cyclin dependent kinase inhibitor(28). Like 500
flavopiridol, dinaciclib is also eliminated through excretion and metabolism. Although the 501
metabolic and transport pathways have not been elucidated, glucuronidation is clearly important 502
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23
in dinaciclib clearance (unpublished data). As new trials with dinaciclib are conducted in CLL, it 503
will be important to monitor the association of gender and dinaciclib on TLS probability. 504
505
Acknowledgement 506
507
This project was supported by grants from the Leukemia and Lymphoma Society (LLS 7080 508
SCOR) and the National Institutes of Health (U01CA76576, U01GM092655 and 509
5KL2RR025754). We thank all trial participants including patients and their families. We 510
express our gratitude to Di Wu, Katie A. Albanese and Katherine L. Farley for analyzing 511
samples. We thank Melissa Vargo and Sarah Mitchell for their assistance in providing clinical 512
data. 513
514 515
516
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660 661
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Figure Legends 662
663 Figure 1. The pharmacokinetic model of flavopiridol and its glucuronide metabolite. Fm = 664
K13/(K10+K13); Flavo, flavopiridol; Flavo-G, flavopiridol glucuronide 665
666
Figure 2. Observed concentrations versus the population (A) or individual (B) predictions, and 667
(C) visual predictive check (VPC) plot using the population pharmacokinetic model for 668
flavopiridol. For panel C, open circles, observed data; grey solid line, median of observed data at 669
nominal time; grey dashed line, 95% confidence interval (CI) of observed data at nominal time; 670
black solid line, median of simulated data at nominal time; black dashed line, 95% prediction 671
interval (PI) of simulated data at nominal time; grey area, 95% CI around median or 95% PI of 672
simulated time. 673
674
Figure 3. Observed concentrations versus the population (A) or individual (B) predictions, and 675
visual predictive check (VPC) plots stratified by male (C) and female (D) patients using the 676
population pharmacokinetic model for flavopiridol glucuronide. For panels C and D, open circles, 677
observed data; grey solid line, median of observed data at nominal time; grey dashed line, 95% 678
confidence interval (CI) of observed data at nominal time; black solid line, median of simulated 679
data at nominal time; black dashed line, 95% prediction interval (PI) of simulated data at 680
nominal time; grey area, 95% CI around median or 95% PI of simulated time. 681
682
Figure 4. Visual predictive check (VPC) plot of TLS probability along with Days in Cycle 1, 683
stratified by male (A), female (B) and all (C) patients. VPC of TLS probability with increasing 684
metabolite AUC (D). For panel D, data was first sorted by observed metabolite AUC and divided 685
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29
into 13 bins with approximately 17 observations (AUC/TLS pairs) in each bin. The median 686
metabolite AUC was calculated for each bin, and observed incidence of TLS events was 687
determined for each bin. One thousand (1,000) bootstrap replicates were generated from the 688
final TLS model, and probability of TLS was calculated within each bin from the vectors of the 689
bootstrap parameters. Median and 95% boundaries were then calculated from the 1,000 predicted 690
probabilities at each AUC bin. The median probability is reflective of the typical probability of 691
TLS occurring at a given AUC, while the upper and lower boundaries reflect the 95% CI of the 692
probability curve. 693
694 695
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Table 1. Population PK parameters of flavopiridol and flavopiridol glucuronide 696 697
Model Term Parameter Estimate (CV%) IIV (CV%) IOV (CV%)
Parent Drug -- Flavopiridol
CL = θCL × exp(IIVCL + IOV) θCL (L/h) 34.1 (3.8) 33.6 (19.1)* 21.7 (20.0)
V1 = θV1 × exp(IIVV1) θV1 (L) 75.8 (3.9) 33.6 (19.1)*
Q = θQ × exp(IIVQ) θQ (L/h) 6.77 (9.2) 74.7 (24.7)
V2 = θV2 × exp(IIVV2) θV2 (L) 91.8 (12.2) 101.0 (17.9) Shared ETA Scale Factor 0.86 (12.3) Corr (ηQ,ηV2) 0.766 Proportional Residual Error ε (%) 39.6 (8.3) Metabolite -- Flavopiridol Glucuronide CLm = θCLm × exp(IIVCLm) θCLm (L/h) 5.17 (9.3) 79.4 (18.5)** V3 = θV3 × exp(IIVV3) θV3 (L) 0.969 (3.1) n.e. Qm = θQm × exp(IIVQm) θQm (L/h) 1.29 (17.1) 79.4 (18.5)** V4 = θV4 × exp(IIVV4) θV4 (L) 6.16 (16.1) n.e. Shared ETA Scale Factor -0.301 (37.2) Fm = θFm θFm (%) 51.3 (71.7) n.e. Factor for Sex 0.462 (19.4) Proportional Residual Error ε (%) 55.8 (9.2) 698 Note: body weight in allometric function applied to all four flavopiridol PK parameters. 699 IIV, inter-individual variability; IOV, inter-occasion variability with each occasion 700 corresponding to each dose level; CV%, coefficient of variation (%); n.e., not estimated. * and 701 ** indicate shared ETAs for parent and metabolite, respectively. The Shared Eta Scale Factors 702 for each were estimated as described in the text. 703 704
705
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706 Table 2. Population pharmacodynamic parameter estimates for a logistic regression model for 707 probability of TLS occurrence 708 709
Model Term Parameter Estimate (CV%)
PD model
Intercept* (Day 1 or 8, bulky lymphadenopathy < 10 cm) θ1 -2.02 (13.0)
Intercept* (Day 1 or 8, bulky lymphadenopathy > 10 cm) θ3 -1.03 (17.9)
Slope of drug effect (Day 1 or 8, metabolite AUC, regardless of bulky disease status)
θ2 0.0281 (20.4)
Intercept (Day 15 or 22, regardless of bulky disease status) θ4 -30 (43.7)
Slope of drug effect (Day 15 or 22, regardless of bulky disease status)
θ5 0, fixed
IIV η 0, fixed
710 IIV, inter-individual variability; CV%, coefficient of variation (%). * When drug exposure is 711 equal to median drug exposure 712 713 714
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i.v. infusion
Flavo, central
Flavo, peripheral
K12
K21K21
K10 K13
Flavo-G, K34 Flavo-G, i h l
K30
central K43peripheral
Figure 1.
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Published OnlineFirst January 8, 2013.Clin Cancer Res Jia Ji, Diane R Mould, Kristie A Blum, et al. with FlavopiridolSyndrome in Chronic Lymphocytic Leukemia Patients Treated A Pharmacokinetic/Pharmacodynamic Model of Tumor Lysis
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