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Journal of Clinical Oncology, Vol 26, No 11 (April 10), 2008: pp. 1797-1802
© 2008 American Society of Clinical Oncology.
DOI: 10.1200/JCO.2007.13.8388

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Phase I Study of a Novel Capecitabine Schedule Based on the Norton-Simon Mathematical Model in Patients With Metastatic Breast Cancer

Tiffany A. Traina, Maria Theodoulou, Kimberly Feigin, Sujata Patil, K. Lee Tan, Charles Edwards, Ute Dugan, Larry Norton, Clifford Hudis

From the Memorial Sloan-Kettering Cancer Center, New York, NY; and Roche Laboratories, Nutley, NJ

Corresponding author: Tiffany A. Traina, MD, Breast Cancer Medicine Service, Memorial Sloan-Kettering Cancer Center, 1275 York Ave, New York, NY 10021; e-mail: trainat{at}mskcc.org


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 PATIENTS AND METHODS
 RESULTS
 DISCUSSION
 AUTHORS' DISCLOSURES OF...
 AUTHOR CONTRIBUTIONS
 Appendix
 REFERENCES
 
Purpose This study was conducted to determine, in patients with advanced-stage breast cancer, the maximum tolerated dose (MTD) of capecitabine administered orally for 7 days followed by a 7-day rest (7/7), a schedule based on a mathematical method for the optimization of anticancer drug scheduling.

Patients and Methods Eligible patients had measurable, metastatic breast cancer. There was no limit to number of prior treatments. A standard, three-patients-per-cohort dose-escalation scheme used flat-dose capecitabine beginning at 1,500 mg orally twice daily (bid) on a 7/7 schedule. Each cohort was monitored for 28 days before escalation to the next cohort to assess for delayed toxicity. Response was evaluated radiographically every 12 weeks; toxicity was assessed every 2 weeks.

Results Twenty-one patients were treated on study. The most frequently reported treatment-related grade 2/3 adverse events were hand-foot syndrome (29%), leukopenia/neutropenia (24%), and fatigue (19%). Grade 3 toxicity was transient and easily managed. Three patients experienced grade 3 hand-foot syndrome; one of these patients had grade 3 diarrhea. There were no grade 4 events. The MTD of capecitabine 7/7 is 2,000 mg twice daily.

Conclusion As predicted by mathematical modeling, capecitabine dosing for 7 days followed by a 7-day rest is well tolerated. Efficacy of this schedule is being determined in a phase II clinical trial in patients with advanced breast cancer.


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 PATIENTS AND METHODS
 RESULTS
 DISCUSSION
 AUTHORS' DISCLOSURES OF...
 AUTHOR CONTRIBUTIONS
 Appendix
 REFERENCES
 
Despite advances in the diagnosis and therapy of primary breast cancer, metastatic disease remains a major public health problem, accounting for more than 40,000 deaths in the United States annually.1 Hence significant improvements in managing advanced disease—including the development of highly active cytotoxic, hormonal, and molecularly targeted agents—have not by themselves provided universally curative regimens. It is clear that possessing effective anticancer drugs is insufficient without better strategies for their application. Mathematical approaches to the description of tumor growth have been shown to predict chemotherapy dosing schedules that increase the efficacy of anticancer drugs without increasing toxicity.2-9 We have used mathematical methods to predict a more effective, less toxic dose schedule for the cytotoxic agent capecitabine (Xeloda; Hoffman-LaRoche, Nutley, NJ) and here describe our initial experience in the clinical application of this regimen.

Mathematical Modeling Optimizes Chemotherapy Delivery
Extending the work of Skipper4a from exponential to Gompertzian growth kinetics, Norton and Simon5 discovered that the rate of tumor volume regression is proportional to the rate of growth, even when the growth rate is continuously changing. When applied to chemotherapy administration, this model suggested that by delivering treatments at a greater dose rate (increased dose-density), one could increase cumulative cancer cell kill by minimizing regrowth of tumor between cycles of therapy.10 Furthermore, host toxicity might be reduced by shortening the total treatment duration. Because preclinical data supported these hypotheses, a randomized, multicenter trial was conducted and proved confirmatory. Well-tolerated, dose-dense adjuvant chemotherapy provided a disease-free and overall survival advantage in patients with early-stage breast cancer when compared with conventional schedules of the same drugs at the same dose levels.11,12

Presently, chemotherapy schedules are designed by time-consuming, expensive, and laborious laboratory and clinical experiments. Norton et al13 recently described a method whereby chemotherapy dosing schedules may be optimized by the use of mathematical models of tumor cell growth. An advantage of this approach is that the optimal schedule may be determined more rapidly, more parsimoniously, and more easily. The method, briefly outlined in the Appendix (online only), focuses on rates of change of tumor volume as a function of time, finding the maximum cumulative perturbation within constraints of host tolerance.

Capecitabine
Capecitabine is an oral prodrug of fluorouracil designed to exploit differences in metabolic enzyme activity between tumor and normal tissue.14 It has single-agent, antitumor activity in refractory breast cancer, with response rates ranging from 15% to 29% and median overall survival of 10.1 to 15.2 months across multiple studies.15-17 Capecitabine is approved by the United States Food and Drug Administration (FDA) as monotherapy for treatment of metastatic breast cancer resistant to anthracycline- and taxane-containing regimens and in combination with docetaxel for anthracycline-pretreated breast cancer.18 The recommended dose and schedule is 2,510 mg/m2/d in two divided doses (bid) delivered for 14 days followed by a 7-day rest (14/7).19 However, dose interruptions or reductions have been necessary in approximately 30% of patients at this recommended dose, and approximately 17% of patients in clinical trials have required discontinuation of drug.20 Capecitabine-associated toxicities include hand-foot syndrome (HFS), diarrhea, and stomatitis.

A Novel Capecitabine Dosing Schedule
When our mathematical method was applied to capecitabine in an animal model system, the point of maximal drug effect was estimated to occur after approximately 7 days of treatment.13 The model predicts that drug delivery beyond 7 days contributes to toxicity, with diminishing anticancer benefit. Preclinical experiments of the capecitabine 7/7 schedule in xenograft mouse models achieved a maximum-tolerated dose (MTD) 1.75-fold higher than previously achieved with the conventional schedule.21 This translated to statistically significant tumor regression and a survival benefit when compared with control.21

This phase I trial evaluated the tolerability and MTD of the capecitabine 7/7 dosing schedule in patients with advanced breast cancer.


    PATIENTS AND METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 PATIENTS AND METHODS
 RESULTS
 DISCUSSION
 AUTHORS' DISCLOSURES OF...
 AUTHOR CONTRIBUTIONS
 Appendix
 REFERENCES
 
Eligibility Criteria
Patients enrolled in this study were more than 18 years of age with histologically confirmed metastatic breast carcinoma that was measurable by Response Evaluation Criteria in Solid Tumors (RECIST) Guidelines criteria. Patients could have received any number of prior endocrine, biologic, or chemotherapy regimens except fluoropyrimidine-containing therapy for the treatment of metastatic breast cancer or as adjuvant therapy within 6 months of enrollment. At least 3 weeks were elapsed from last cytotoxic or biologic therapy. Patients with breast cancer amplified for human epidermal growth factor receptor 2 (HER-2) by fluorescence in-situ hybridization or overexpressed by immunohistochemistry (3+) could not have been candidates for trastuzumab therapy. Patients were required to have an Eastern Cooperative Oncology Group performance status ≤ 2, absolute neutrophil count more than 1.5 x 109/L, platelets more than 100 x 109/L, creatinine clearance ≥ 50 mL/min by the Cockcroft-Gault equation, bilirubin less than 1.5 times the upper limit of normal, and AST/ALT/alkaline phosphatase less than 2.5 times the upper limit of normal. Pregnant or lactating patients were excluded. Patients could not have had a life expectancy less than 3 months, known dihydropyrimidine dehydrogenase deficiency, untreated symptomatic brain metastases, or uncontrolled gastrointestinal malabsorption. All patients provided signed, informed consent.

The protocol was approved by the Memorial Sloan-Kettering Cancer Center institutional review board. The study was conducted in accordance with the Declaration of Helsinki.

Safety Assessments
Patients underwent history and physical examination, ECG, CBC, comprehensive metabolic profile, urinalysis, and coagulation laboratory assessments within 14 days of starting capecitabine. A CBC was repeated on day 3, 4, or 5. During the first cycle, patients had weekly history, physical examination, and safety laboratory evaluations. In subsequent cycles, history, physical examination, and safety laboratory evaluations were performed on days 1 and 15. Adverse events (AEs) were graded using the National Cancer Institute Common Toxicity Criteria version 3.0. Poststudy evaluation was required within 28 days of last treatment.

Trial Design and Study Treatment
This study is the first part of a phase I/II trial testing the safety and efficacy of capecitabine 7/7 in patients with metastatic breast cancer. The primary end point of the phase I portion of the trial was to identify the MTD of capecitabine 7/7, defined as the highest dose for which the incidence of dose-limiting toxicity (DLT) was less than 33%. DLT was defined as grade 3/4 nonhematologic toxicity or grade 3/4 hematologic toxicity lasting more than 2 weeks despite growth factor support. The ongoing phase II trial adds targeted therapeutics and will be reported separately.

A standard three-patients-per-cohort dose-escalation schedule began with flat-dose capecitabine 1,500 mg orally bid. There was no intrapatient dose escalation. Dose levels increased by 500-mg increments, as presented in Table 1. All patients within a cohort were monitored for 28 days before accrual to the next dose level. If none of the patients within a cohort experienced DLT, then patients enrolled onto the next dose level. If one of three patients in a cohort experienced a DLT, three additional patients were treated at that dose level; escalation continued if only one of these six patients had a DLT. If more than two patients in a cohort experienced DLT, then the previous dose level was considered the MTD.


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Table 1. Dose-Escalation Schedule for Capecitabine 7/7

 
Capecitabine was supplied as 500-mg tablets. Patients self-administered capecitabine for 7 days followed by a 7-day rest and maintained a drug diary. Diaries were reviewed and pill counts performed on days 1 and 15 of each cycle. Treatment continued until disease progression, intolerable treatment-related toxicities, or withdrawal of consent. Figure 1 depicts the treatment schema.


Figure 1
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Fig 1. Phase I study dosing schema for capecitabine 7/7 in patients with metastatic breast cancer.

 
Evaluation of Clinical Activity
Disease status was established less than 4 weeks before start of therapy with a computed tomography scan of the chest, abdomen, and pelvis and a bone scan. Response assessment was performed every 12 weeks using RECIST criteria.


    RESULTS
 TOP
 ABSTRACT
 INTRODUCTION
 PATIENTS AND METHODS
 RESULTS
 DISCUSSION
 AUTHORS' DISCLOSURES OF...
 AUTHOR CONTRIBUTIONS
 Appendix
 REFERENCES
 
Patient Characteristics
Twenty-one patients were enrolled at Memorial Sloan-Kettering Cancer Center between July 2005 and January 2007. Patient characteristics are listed in Table 2. Nineteen patients (90%) had prior chemotherapy; 17 patients (81%) had prior anthracycline- and taxane-containing regimens. The median number of chemotherapy regimens for metastatic disease was 0 (range, 0 to 2). Thirteen patients received a median of one (range, one to four) endocrine therapy for metastatic disease before capecitabine. Two patients received prior bevacizumab. One patient received prior trastuzumab. The median number of 4-week capecitabine cycles administered was four (range, one to 15), which translates to a median of 105 days on study (range, 6 to 400 days).


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Table 2. Patient Characteristics by Capecitabine Dose Cohort

 
Safety and Tolerability
Thirteen (62%) of 21 patients experienced treatment-related, grade 2/3 AEs. The most frequently reported grade 2/3 drug-related AEs were HFS (29%), leukopenia/neutropenia (24%), and fatigue (19%). Treatment-related, grade 2/3 toxicity is shown per dose cohort in Table 3. Most AEs were mild and easily managed. Two patients experienced grade 3 elevations of AST. One of these patients also had grade 3 elevation in alkaline phosphatase. Both patients had disease progression associated with these values; therefore, relatedness is unlikely. There were no grade 4 or 5 AEs. One patient from cohort 2 (2,000 mg bid) experienced grade 3 HFS, a DLT, during her second treatment cycle. This improved after a 2-week treatment delay and dose reduction to 1,500 mg bid. Two patients from cohort 3 (2,000 mg/2,500 mg) developed grade 3 HFS; one of these women also had grade 3 diarrhea. In the first patient, HFS improved with a treatment delay of 1 week and dose reduction to 1,500 mg/2,000 mg during cycle 3. With her fifth treatment cycle, she had a 1-week treatment delay and dose reduction to 1,000 mg/1,500 mg for grade 2 HFS. She remained on study for an additional 4 months. The second patient developed grade 3 HFS and grade 3 diarrhea with her eighth treatment cycle. These both resolved after a 1 week treatment delay and dose reduction to 1,500 mg/2,000 mg. On the basis of the two DLTs at the 2,000 mg/2,500 mg dose level, the MTD was observed to be 2,000 mg bid.


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Table 3. Number of Patients With Treatment-Related, Grade 2 or 3 Adverse Events Reported by Dose Cohort of Capecitabine 7/7

 
Five serious AEs occurred; however, none of these were considered treatment-related. One patient (cohort 0) was hospitalized with nausea/vomiting after registration and before beginning capecitabine; she later withdrew from the trial. Two patients were hospitalized for symptom management related to disease progression and study treatment was discontinued for reasons as follows: (1) a patient (cohort 0) developed paraspinal pain from enlarging epidural disease at T10, and (2) a patient (cohort 2) became dyspneic and fatigued from a large, malignant pericardial effusion requiring hospitalization and management. One patient (cohort 2) with hypertension treated with an angiotensin-converting enzyme inhibitor developed angioedema of the face and lips 5 months after starting capecitabine. She was hospitalized for observation and treated with antihistamines and corticosteroids. It is unlikely that this adverse event was related to capecitabine, although an association could not be ruled out. One patient from cohort 1 developed grade 2 diarrhea and nausea/vomiting for 24 hours after her third cycle. Family members experienced the same symptoms concurrently. She recovered with hydration and antiemetics. These symptoms were felt to be unrelated to capecitabine. She resumed treatment without dose reduction.

Clinical Activity
Eighteen of 21 patients were assessable for response. One patient consented to the protocol but was not treated on study based on inadequate creatinine clearance. Two patients withdrew consent before beginning study drug. One patient achieved a partial response by RECIST criteria. Eleven patients (61%) had stable disease; five patients (28%) received capecitabine for ≥ 6 months, and six patients (33%) received capecitabine for ≥ 3 months but less than 6 months. There were no complete responses.

Two patients from the 2,000 mg/2,500 mg cohort continue on study. The protocol stipulates treatment modification guidelines for individual patient safety. One patient has tolerated more than 10 cycles of capecitabine without need for dose reduction. The second patient experienced a DLT after eight cycles, requiring dose reduction and delay. She now receives capecitabine 1,500 mg/2,000 mg and is in her 15th cycle.


    DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 PATIENTS AND METHODS
 RESULTS
 DISCUSSION
 AUTHORS' DISCLOSURES OF...
 AUTHOR CONTRIBUTIONS
 Appendix
 REFERENCES
 
Experience has confirmed that mathematical modeling based on growth curve analysis can predict improved chemotherapy schedules.8-10 In animal models, this conceptual approach has determined that the 7/7 schedule of capecitabine preserves efficacy and reduces toxicity sufficiently to allow for significant dose escalation.11,20 Longer than 7 days of daily administration subjects the tumor-bearing host to greater toxicity and diminishing efficacy. That is, in preclinical models, capecitabine 7/7 provides the greatest acceptable dose-intensity and dose-density. We sought to determine the tolerability of this schedule in patients with advanced breast cancer.

The novel capecitabine schedule investigated in this population seems to be well tolerated, achieving an MTD of 2,000 mg bid when administered for 7 consecutive days followed by a 7-day rest. Patients were accrued to dose cohorts in consecutive, nonrandomized fashion. There is a trend toward older age and greater exposure to prior chemotherapy for patients in the highest cohort (2,000 mg/2,500 mg), two of whom experienced DLTs.

The most common capecitabine-related, grade 3 toxicities were HFS (17%) and diarrhea (6%). There were no grade 4/5 adverse events with this schedule. These toxicity rates are comparable and perhaps a bit lower than previously reported for capecitabine in larger trials. A multicenter trial of conventional capecitabine 14/7 in patients with advanced breast cancer who had received more than two prior chemotherapy regimens reported grade 3/4 diarrhea in 14% of patients and grade 3/4 HFS in 10% of patients.16 Other grade 3 treatment-related toxicities included fatigue (7%), nausea (4%), and vomiting (4%).16 O'Shaughnessy et al20 reported rates of grade 3/4 HFS (16%) and grade 3/4 diarrhea (8%) in patients receiving single-agent capecitabine 14/7. We recognize that cross-trial comparisons are wrought with confounding variables as a result of patient population differences, such as extent of prior therapy. Further testing in large, phase II and III trials will be necessary to better characterize tolerability and activity.

We chose to use fixed dosing of capecitabine rather than body-surface area (BSA)–calculated dosing, because evidence for dose selection based on BSA is limited. In fact, it has been recognized that drug clearance cannot be reliably predicted by BSA, and significant interpatient variability exists despite the use of BSA in dose calculation.22-27 Several trials have explored fixed-dose rather than BSA-based dosing of capecitabine. Sharma et al28 reported the use of capecitabine 2,000 mg bid administered conventionally in patients with advanced colorectal cancer. Additional trials have retrospectively explored fixed-dose capecitabine in advanced malignancies29 and prospectively in combination with irinotecan.30 In our trial, the dose of capecitabine 7/7 delivered exceeded the BSA-based, daily recommended capecitabine dose for five (28%) of 18 patients. However, direct comparisons of flat- versus BSA-based dose are difficult to interpret in this manner; if this schedule of administration is truly optimal as predicted by the model, then improved efficacy, better tolerability, and prolonged use of this active agent may be observed with this schedule.

The tolerability of capecitabine is known to be influenced by factors other than BSA. Regional differences in tolerability of fluoropyrimidines have been acknowledged. In an analysis of more than 3,000 patients with colorectal cancer treated with fluorouracil-based regimens, fluoropyrimidine therapy was best tolerated in Asian patients and least well tolerated in American patients.31 An emerging factor that may play an important role in drug disposition are genetic polymorphisms in drug-metabolizing enzymes and transport proteins.32-35 An ongoing correlative component of this study explores the impact of germline single nucleotide polymorphisms (SNPs) related to capecitabine metabolism, transport, and resistance and their possible correlation with toxicity and response. Specific SNPs are being explored for the following genes: DYPD, ECGF, TYMS, SLC28A1, and MTHFR.

Several alternative dosing strategies for capecitabine have been reported, using traditional methods for determining schedule. These trials, in patients with nonbreast solid tumors, often tested capecitabine in combination with other cytotoxic therapy without conclusion as to optimal schedule. This speaks to the need for a mathematical model that can efficiently predict the optimal schedule for drug development and therefore minimize use of patient and financial resources.

For example, two prospective studies tested biweekly capecitabine in colorectal36 and pancreatic37 adenocarcinomas. A dose-escalation trial of biweekly capecitabine in combination with oxaliplatin for the treatment of colorectal cancer defined the MTD of capecitabine as 3,500 mg/m2/d.36 DLTs included gastrointestinal symptoms and HFS. A second, randomized phase II trial explored high-dose gemcitabine with or without biweekly capecitabine for the treatment of metastatic pancreatic cancer. Patients received capecitabine at 2,500 mg/m2/d (7/7). Results suggest that the combination regimen was well tolerated.37 Unfortunately, efficacy attributable to the biweekly capecitabine schedule is impossible to assess in these studies because of trial design. However, these data support the feasibility of this novel schedule.

A randomized, phase II trial in patients with colorectal cancer found no difference in efficacy between continuous, low-dose capecitabine (1,331 mg/m2/d) and 2,510 mg/m2/d administered intermittently (14/7).38 However, the intermittent schedule allowed for higher dose-intensity. The dose-intensity of 2,000 mg twice daily (7/7) exceeds that of actual drug delivered on the intermittent monotherapy arm over a 12-week period; however, we are reluctant to draw such comparisons because of significant differences between these two trials. The colorectal trial had participating sites throughout Europe and Australia. There are known differences in drug tolerability regionally; therefore, the amount of drug actually delivered would not likely be achieved in the United States, where we already see that 2,510 mg/m2/d in the conventional schedule often requires dose reductions/delays in practice. We would also contend that the optimal schedule may improve tolerability, allow for prolonged administration of this active agent, and improve efficacy.

The results reported here provide preliminary indication that biweekly capecitabine is a potentially optimized alternative to the conventional 14/7 schedule based on mathematical modeling and preclinical evidence. Full validation of the model might require results from ongoing phase II testing and possibly randomized comparison with the conventional 14/7 schedule in a proof-of-principle trial. We recommend a regimen of capecitabine 2,000 mg bid for 7 consecutive days followed by a 7-day rest for phase II evaluation as monotherapy. A phase II program is ongoing at our institution to assess the efficacy of capecitabine 7/7 in patients with advanced breast cancer in terms of response rate, time to progression, and duration of response. This schedule is being tested in combination with bevacizumab, an antivascular endothelial growth factor antibody with activity in breast cancer. Pharmacogenomic correlative studies explore SNPs that might predict for response or toxicity to capecitabine. For patients with HER-2–amplified or –overexpressed breast cancer, capecitabine 7/7 will be tested in combination with HER-2–targeted therapies.

We intend to apply this and related mathematical methods to established and investigational cytotoxic agents and to new biologic agents, such as small molecule tyrosine kinase inhibitors. This work and the various capecitabine regimens in development may influence randomized phase III trials evaluating the potential contributions of new agents and novel dose-scheduling strategies.


    AUTHORS' DISCLOSURES OF POTENTIAL CONFLICTS OF INTEREST
 TOP
 ABSTRACT
 INTRODUCTION
 PATIENTS AND METHODS
 RESULTS
 DISCUSSION
 AUTHORS' DISCLOSURES OF...
 AUTHOR CONTRIBUTIONS
 Appendix
 REFERENCES
 
Although all authors completed the disclosure declaration, the following author(s) indicated a financial or other interest that is relevant to the subject matter under consideration in this article. Certain relationships marked with a "U" are those for which no compensation was received; those relationships marked with a "C" were compensated. For a detailed description of the disclosure categories, or for more information about ASCO's conflict of interest policy, please refer to the Author Disclosure Declaration and the Disclosures of Potential Conflicts of Interest section in Information for Contributors.

Employment or Leadership Position: Ute Dugan, Roche (C) Consultant or Advisory Role: Tiffany A. Traina, Roche (C); Larry Norton, Roche (C); Clifford Hudis, Roche (C) Stock Ownership: Ute Dugan, Roche Honoraria: Tiffany A. Traina, Roche; Larry Norton, Roche; Clifford A Hudis, Roche Research Funding: Tiffany A. Traina, Roche; Maria Theodoulou, Roche; Kimberly Feigin, Roche; Sujata Patil, Roche; K. Lee Tan, Roche; Charles Edwards, Roche; Larry Norton, Roche; Clifford Hudis, Roche Expert Testimony: None Other Remuneration: None


    AUTHOR CONTRIBUTIONS
 TOP
 ABSTRACT
 INTRODUCTION
 PATIENTS AND METHODS
 RESULTS
 DISCUSSION
 AUTHORS' DISCLOSURES OF...
 AUTHOR CONTRIBUTIONS
 Appendix
 REFERENCES
 
Conception and design: Tiffany A. Traina, Maria Theodoulou, Kimberly Feigin, Sujata Patil, Ute Dugan, Larry Norton, Clifford Hudis

Financial support: Ute Dugan, Larry Norton, Clifford Hudis

Administrative support: Maria Theodoulou, Charles Edwards, Ute Dugan, Larry Norton, Clifford Hudis

Provision of study materials or patients: Tiffany A. Traina, Maria Theodoulou, Kimberly Feigin, K. Lee Tan, Larry Norton, Clifford Hudis

Collection and assembly of data: Tiffany A. Traina, Maria Theodoulou, Sujata Patil, K. Lee Tan, Charles Edwards, Larry Norton, Clifford Hudis

Data analysis and interpretation: Tiffany A. Traina, Maria Theodoulou, Sujata Patil, Charles Edwards, Larry Norton, Clifford Hudis

Manuscript writing: Tiffany A. Traina, Larry Norton, Clifford Hudis

Final approval of manuscript: Tiffany A. Traina, Maria Theodoulou, Kimberly Feigin, Sujata Patil, K. Lee Tan, Charles Edwards, Ute Dugan, Larry Norton, Clifford Hudis


    Appendix
 TOP
 ABSTRACT
 INTRODUCTION
 PATIENTS AND METHODS
 RESULTS
 DISCUSSION
 AUTHORS' DISCLOSURES OF...
 AUTHOR CONTRIBUTIONS
 Appendix
 REFERENCES
 
The Gompertzian tumor growth of N cells as a function of time t in the unperturbed state is described by the differential equation

Formula 1(1)

where k1 and k2 are constants. In the perturbed state, with treatment starting at time t1, it has been shown that for t ≥ t1,

Formula 2(2)

where D(t) ≥ 0.

Let treatment be administered daily on day t1, t2, t3... ti for i consecutive days. Then we have observed that for capecitabine and other agents, if a sufficiently large number of administrations i are used, there is a day tm less than ti such that D(tm)/dt is maximal. The proper cycle length is hence m days in duration. In many situations, repeating such cycles of therapy with minimal inter-treatment interval length n maximizes the total growth perturbation of a regimen, expressed as

Formula 2

for the purposes of clinical extrapolation, we are here using m = 7 and n = 7, as determined empirically.


    ACKNOWLEDGMENTS
 
We thank the many patients and investigators who have made this work possible.


    NOTES
 
Supported by Roche Laboratories Inc.

Presented in part at the 43rd Annual Meeting of the American Society of Clinical Oncology, June 1-5, 2007 Chicago, IL (abstr 1045) and at the San Antonio Breast Cancer Symposium, San Antonio, TX, December 14-17, 2006 (abstr 6077). This article is an update and the first complete reporting of the Phase I study.

Authors' disclosures of potential conflicts of interest and author contributions are found at the end of this article.


    REFERENCES
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 ABSTRACT
 INTRODUCTION
 PATIENTS AND METHODS
 RESULTS
 DISCUSSION
 AUTHORS' DISCLOSURES OF...
 AUTHOR CONTRIBUTIONS
 Appendix
 REFERENCES
 
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Submitted August 6, 2007; accepted October 10, 2007.


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