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The Oncologist, Vol. 6, Suppl 3, 30-35, June 2001
© 2001 AlphaMed Press


SUPPLEMENT

Theoretical Concepts and the Emerging Role of Taxanes in Adjuvant Therapy

Larry Norton

Memorial Sloan-Kettering Cancer Center, New York, New York, USA

Correspondence: Larry Norton, M.D., Memorial Sloan-Kettering Cancer Center, 1275 York Ave, New York, NY 10021-6007, USA. Telephone: 212-639-6425; Fax: 212-717-3743; e-mail: nortonl{at}mskcc.org.


    ABSTRACT
 Top
 Abstract
 Introduction
 Exponential Growth, Log Kill,...
 Cell Kill and Adjuvant...
 Ongoing Clinical Trials
 New Targets in Breast...
 References
 
The proven benefits of adjuvant chemotherapy on disease-free and overall survival in breast cancer can be explained by concepts of cell kill. Interventions which result in greater log kill can be expected to produce improved clinical results. The application of log-kill concepts to human breast cancer growth, which appears to follow Gompertzian kinetics, suggests not only that the use of non-cross-resistant drugs is important, but that dose-dense schedules may have an advantage over conventional schedules of drug administration. Sequential therapy may allow dose-dense administration of cytotoxic agents and encourage the integration of new biological agents into combination regimens, particularly with the taxanes. Ongoing trials in these concepts are reviewed.

Key Words. Adjuvant • Breast cancer • Gompertzian • Log kill • Paclitaxel • Docetaxel • Herceptin


    INTRODUCTION
 Top
 Abstract
 Introduction
 Exponential Growth, Log Kill,...
 Cell Kill and Adjuvant...
 Ongoing Clinical Trials
 New Targets in Breast...
 References
 
Evidence for the existence of occult micrometastases at the time of diagnosis is overwhelming [1]. Equally clear is that some form of systemic therapy is the only treatment which may have an impact on the problem of occult disease [2]. This paper presents certain theoretical concepts important to our understanding of empirical data in the field of adjuvant therapy.

At the start of the development of medical oncology, Skipper et al. introduced the important concept of log kill [3, 4]. Although the model was based on murine tumors, it was soon extrapolated to human systems. A fundamental concept is that killing of cells is the ultimate determinant of outcome in an organism harboring a cancer. The extent of cell kill predicts disease-free survival, and improved disease-free survival translates into extended overall survival [1, 2, 5, 6].

Several methods of killing cells are relevant to the adjuvant setting; these include hormonal manipulation through selective estrogen receptor modulators such as tamoxifen and (historically) hormone manipulation through oophorectomy. However, this paper focuses on the effects of chemotherapy, and in particular, on how active agents can be administered together in combination and sequentially to maximize clinical benefit. In this context it is important to note that the pattern of growth seen in human cancers is not the same as that seen in murine tumors, and hence a more sophisticated view is needed of cell kill and its consequences.


    EXPONENTIAL GROWTH, LOG KILL, AND CHEMOTHERAPY
 Top
 Abstract
 Introduction
 Exponential Growth, Log Kill,...
 Cell Kill and Adjuvant...
 Ongoing Clinical Trials
 New Targets in Breast...
 References
 
Central to our understanding of tumor growth is the expectation that cell numbers will increase exponentially, i.e., that numbers double and continue doubling over a certain fixed unit of time [7]. Such a pattern of growth appears as a straight and rising line when a logarithmic scale is used on the y axis to represent cell number while time is represented on the x axis on an arithmetic scale.

Extrapolation of this pattern of growth, which is typical of murine leukemias, led to the idea that roughly one liter of tumor cells would represent a lethal volume of cancer in humans and that diagnosis of the disease could not be expected until somewhere between 1010 and 1011 tumor cells.

The concept of log kill is represented graphically in Figure 1Go. Exponential increase in tumor cell number can be interrupted by one or more cycles of treatment, each of which produces a substantial fall in the log number of cells. However, the effect of each treatment is simply to move the exponential growth curve to the right, at which point the rise in cell number resumes at its previous rate [5-9].



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Figure 1. Concept of log-cell kill: the effect of each treatment to move the exponential growth curve to the right.

 
This relatively simple picture is complicated by heterogeneity in the sensitivity of tumor cells to a particular drug. A resistant clone will not suffer a fall in cell number with initial treatment and will continue to grow exponentially [10]. This problem can be tackled by introducing a second drug into therapy [5, 6, 9-11]. Figure 2Go shows how this might achieve a log kill of all cell populations. However, to maintain this effect, the two-drug combination needs to be continued for repeated cycles (Fig. 2Go). This concept forms the rationale for combination chemotherapy.



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Figure 2. Combination chemotherapy is necessary to achieve log kill where populations of tumor cells are not equally sensitive to a single drug.

 
The clinical situation, of course, is considerably more complicated. Combining an agent which achieves a 50% response rate (RR) as monotherapy with another agent with a 50% RR achieves an RR of perhaps 60% or 65%, rather than 100%, since cell populations overlap in drug sensitivity [11].


    CELL KILL AND ADJUVANT CHEMOTHERAPY
 Top
 Abstract
 Introduction
 Exponential Growth, Log Kill,...
 Cell Kill and Adjuvant...
 Ongoing Clinical Trials
 New Targets in Breast...
 References
 
Figure 3Go presents a series of curves taken from data presented recently at the overview meeting of the Early Breast Cancer Trialists Collaborative Group in Oxford, England [2]. The top left panel shows curves for overall survival and relapse-free survival which are based on data pooled from the control arms of all available studies of adjuvant chemotherapy. The panel below shows a set of four growth curves which can explain these results. On the left-hand side is a curve showing the 90th percentile growth rate: 90% of tumors grow at a slower rate than that indicated by this line. At the right is the 60th percentile growth rate.



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Figure 3. Cell kill explains impact of adjuvant chemotherapy. Adapted with permission from [2].

 
The top right-hand panel shows the curves for relapse-free and overall survival using data pooled from the chemotherapy arms of all available studies. Below are the growth curves that can account for these data. Compared with the curves generated from data from control patients, they are all shifted to the right. In essence, they show that the improved relapse-free and overall survival seen clinically in trials of adjuvant chemotherapy could have been achieved through a one-log cell kill. This ignores any effects on variables such as regrowth kinetics but is important in showing that the basic concept of the log-kill model is valid in the adjuvant setting.

Importantly, the growth curves that fit the data generated by trials of adjuvant therapy are not the straight lines of exponential growth. They curve in the particular sigmoid shape known as "Gompertzian" [5, 12-14]. Since the rate of cell growth is faster in the early rather than the latter part of the curve, the effect of early intervention is greater than that of later intervention. The log kill is therefore probably greater in tumors of small volume than in those of larger volume, and this is reflected in Figure 4Go.



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Figure 4. Log kill in Gompertzian growth.

 
In this situation, administration of chemotherapy using conventional alternating schedules will not eradicate cell clones of different sensitivity [15]. As cells sensitive to one drug are being killed, resistant cells are growing; and the same is true when the second drug is used (Fig. 5Go).



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Figure 5. Alternating therapy and the effect on log-cell kill in Gompertzian growth.

 
In this situation, delays in drug administration or schedules which cycle drugs over a more prolonged period may actually work against the efficacy of treatment. An alternative is to compress the conventional schedule, giving doses closer together in time in so-called "dose-dense" therapy [5, 15, 16]. In simulations, this simple manipulation achieves a considerably greater efficacy by minimizing regrowth of cells between cycles of treatment (Fig. 6Go).



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Figure 6. Effect of dose-dense therapy on log-cell kill in Gompertzian growth.

 
This concept can be extended to encompass situations of heterogeneous drug sensitivity through the use of sequential dose-dense regimens (Fig. 7Go) [5, 6, 17-19]. This represents a new view of the way to proceed. However, there is empirical evidence to justify it, and the approach underlies several important ongoing clinical trials involving agents such as the taxanes.



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Figure 7. Sequential dose-dense therapy.

 

    ONGOING CLINICAL TRIALS
 Top
 Abstract
 Introduction
 Exponential Growth, Log Kill,...
 Cell Kill and Adjuvant...
 Ongoing Clinical Trials
 New Targets in Breast...
 References
 
In the Cancer and Leukemia Group B (CALGB) 9344 study, patients with T1-3 N1-2 breast cancer were randomized to receive a fixed dose of 600 mg/m2 cyclophosphamide plus doxorubicin at either 60, 75, or 90 mg/m2 for four cycles [20, 21]. This was followed by a second randomization to either four doses of 175 mg/m2 paclitaxel or no further chemotherapy, with tamoxifen administered in hormone receptor-positive disease. The dose of doxorubicin given had no impact on survival. However, the intriguing aspect of the study is seen when its results are set in the context of data presented from other trials at the recent Oxford meeting [20-22].

Table 1Go shows that single-agent adjuvant chemotherapy has a weak and non-significant impact on the odds of recurrence and death. However, combination chemotherapy using CMF has a large and significant effect, while epirubicin plus doxorubicin further increases the annual odds of survival by approaching 16%. The sequential use of doxorubicin plus cyclophosphamide (AC) followed by paclitaxel improved the odds of recurrence-free and overall survival by greater than 20% when compared with AC alone.


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Table 1. Impact of prolonged adjuvant chemotherapy on the annual odds of recurrence and death [20-22]
 
Since this trial, the CALGB has attempted to further explore the possibilities of clinical benefit by comparing a three-weekly regimen of AC followed by paclitaxel with a two-weekly, and hence, more dose-dense regimen using the same drugs with G-CSF support. In this Intergroup/CALGB 9741 study, patients are also being randomized to two arms of the study in which the three drugs are given sequentially as doxorubicin followed by paclitaxel and cyclophosphamide in two- or three-week cycles.

Several trials are also investigating the effects of combination chemotherapy in a more formal way. A Breast Cancer International Research Group (BCIRG) trial is randomizing patients to six cycles consisting of either docetaxel 75 mg/m2 or 500 mg/m2 5-fluorouracil (5-FU), with each drug combined with doxorubicin 50 mg/m2 and cyclophosphamide 500 mg/m2 (i.e., TAC versus FAC). An American Intergroup study is investigating a similar comparison between 60 mg/m2 each of doxorubicin and docetaxel versus 60 mg/m2 doxorubicin plus 600 mg/m2 cyclophosphamide, each administered for four cycles.

The choice between taxanes and schedules is being investigated in an Intergroup/Eastern Cooperative Oncology Group study in which node-positive, HER-2 negative patients are randomized to one of four treatment arms. Following four cycles of doxorubicin 60 mg/m2 plus cyclophosphamide 600 mg/m2, patients receive either four cycles of 175 mg/m2 paclitaxel q 3 weeks, 10 cycles of weekly 80 mg/m2 paclitaxel, four cycles of docetaxel 100 mg/m2 q 3 weeks, or 10 cycles of weekly docetaxel 35 mg/m2. The weekly schedules are dose-dense. However, only randomized trials such as this can determine whether they are more effective.

In the National Surgical Adjuvant Breast and Bowel Project (NSABP) B-27 trial, patients with T1-3 disease are being randomized to three arms following an initial four cycles of doxorubicin 60 mg/m2 plus cyclophosphamide 600 mg/m2. In one arm, patients are treated with surgery alone; in a second arm, surgery is preceded by four cycles of docetaxel 100 mg/m2; and in the third arm, four cycles of docetaxel 100 mg/m2 chemotherapy follow surgery.

The NSABP B-30 trial represents a head-to-head comparison between sequential and combination chemotherapy. Patients will receive either doxorubicin 60 mg/m2 plus cyclophosphamide 600 mg/m2 (AC) followed by four courses of docetaxel 100 mg/m2, AC alone, or AC combined with docetaxel 60 mg/m2. Dose modification is frequently needed to achieve combination chemotherapy, and such modification may decrease efficacy. The trial therefore represents an important attempt to establish which approach to therapy is optimal. The BCIRG 005 study also addresses the question of dose as well as combination chemotherapy. In this trial, patients who are node positive and HER-2 negative on the fluorescence in situ hybridization assay will receive either four cycles of AC followed by four of docetaxel 100 mg/m2 or six cycles of TAC.

In an Italian multicenter trial, patients with stage II disease and three or more positive lymph nodes are being randomized to treatment with epirubicin followed by docetaxel followed by CMF or to epirubicin followed by docetaxel alone. A multi-institutional French trial will randomize a similar population of stage II lymph node positive patients to either six cycles of 5-FU plus epirubicin and cyclophosphamide or three cycles of FEC followed by three of docetaxel.


    NEW TARGETS IN BREAST CANCER THERAPY
 Top
 Abstract
 Introduction
 Exponential Growth, Log Kill,...
 Cell Kill and Adjuvant...
 Ongoing Clinical Trials
 New Targets in Breast...
 References
 
In the new era of cancer therapy, the targets of intervention are extending from the DNA itself to include multiple features of the tumor cell. These new targets include tyrosine kinase receptors such as epidermal growth factor receptor and HER-2, adhesion molecules, matrix proteins, and signal transduction molecules [23-26]. Among these targeted therapies, the attack on HER-2 is ripe for clinical testing [26-30]. One important study in progress is the Intergroup/North Central Cancer Treatment Group trial in which patients with HER-2 positive disease all receive four cycles of AC. This is followed by the administration of weekly paclitaxel alone, weekly paclitaxel followed by Herceptin or paclitaxel accompanied by Herceptin with continuing Herceptin thereafter. Since this study includes a Herceptin-free arm, the study addresses issues of potential Herceptin cardiotoxicity as well as efficacy.

The BCIRG study is of similar design: randomization is to four cycles of AC followed by four of docetaxel 100 mg/m2, four cycles of AC followed by four cycles of docetaxel plus Herceptin which then continues for one year, or six cycles of docetaxel plus platinum salts (either cisplatin 75 mg/m2, or carboplatin area under the concentration time curve 6) accompanied from the outset by weekly Herceptin for one year.

This avenue of research promises to significantly improve our ability to extend disease-free and overall survival of patients with primary breast cancer, and even point the way towards better management of advanced disease.


    REFERENCES
 Top
 Abstract
 Introduction
 Exponential Growth, Log Kill,...
 Cell Kill and Adjuvant...
 Ongoing Clinical Trials
 New Targets in Breast...
 References
 

  1. Harris J, Morrow M, Norton L. Malignant tumors of the breast. In: DeVita Jr VT, Hellman S, Rosenberg SA, eds. Cancer: Principles and Practice of Oncology (5th Edition). Philadelphia: Lippincott-Raven, 1997:1557-1602.
  2. Early Breast Cancer Trialists Collaborative Group. Systemic treatment of early breast cancer by hormonal, systemic or immune therapy: 133 randomized trials involving 31,000 recurrences and 24,000 deaths among 75,000 women. Lancet 1992;339:71-85.[Medline]
  3. Skipper HE. Kinetics of mammary tumor cell growth and implications for therapy. Cancer 1971;28:1479-1499.[CrossRef][Medline]
  4. Skipper HE. Analysis of multiarmed trials in which animals bearing different burdens of L1210 leukemia cells were treated with two, three, and four drug combinations delivered in different ways with varying dose intensities of each drug and varying average dose intensities. Southern Research Institute Booklet 7, 1986;420:87-92.
  5. Norton L. Adjuvant breast cancer therapy: Current status and future strategies—growth kinetics and the improved drug therapy of breast cancer. Semin Oncol 1999;26(suppl 3):1-4.[Medline]
  6. Norton L. Kinetic concepts in the systemic drug therapy of breast cancer. Semin Oncol 1999;26(suppl 2):11-20.
  7. Surbone A, Norton L. Kinetics of breast neoplasms. Minerva Med 1994;85:7-16.[Medline]
  8. Spratt JA, von Fournier D, Spratt JS et al. Decelerating growth and human breast cancer. Cancer 1993;71:2013-2019.[CrossRef][Medline]
  9. Norton L. Conceptual basis for advances in the systemic drug therapy of breast cancer. Semin Oncol 1997;24(suppl 11):S11-2-S11-12.
  10. Goldie JH, Coldman AJ. A mathematical model for relating the drug sensitivity of tumors to the spontaneous mutation rate. Cancer Treat Rep 1979;63:1727-1733.[Medline]
  11. Hudis C, Norton L. Adjuvant drug therapy for operable breast cancer. Semin Oncol 1996;23:475-493.[Medline]
  12. Surbone A, Gilewski TA, Norton L. Cytokinetics. In: Holland JF, Frei E III, Bast RC Jr et al., eds. Cancer Medicine (4th Edition). Baltimore: Williams and Wilkins,1997.
  13. Norton LA. A Gompertzian model of human breast cancer growth. Cancer Res 1988;48:7067-7071.[Medline]
  14. Bajzer Z. Gompertzian growth as a self-similar and allometric process. Growth Dev Aging 1999;63:3-11.[Medline]
  15. DeVita VT. Principles of cancer management: chemotherapy. In: DeVita VT Jr, Hellman S, Rosenberg SA, eds. Cancer Principles and Practice of Oncology (5th Edition). Philadelphia: Lippincott-Raven,1997:333-344.
  16. Norton L. Evolving concepts in the systemic drug therapy of breast cancer. Semin Oncol 1997;24(suppl 10):S10-3-S10-10.
  17. Bhardwag MBBS, Holland JF, Norton L. An intensive sequenced adjuvant chemotherapy regimen for breast cancer. Cancer Invest 1993;11:6-9.[Medline]
  18. Bonadonna G, Zambette M, Valagusa P. Sequential or alternating doxorubicin and CMF regimens in breast cancer with more than three positive nodes. J Am Med Assoc 1995;273:542-547.[Abstract]
  19. Hudis C, Seidman A, Raptis G et al. Sequential adjuvant therapy: The Memorial Sloan-Kettering Cancer Center experience. Semin Oncol 1996;23:58-64.[Medline]
  20. CALGB 9344, U.S. Food and Drug Administration (FDA) hearing, September 1999.
  21. Henderson IC, Berry D, Demetri C et al. Improved disease free survival (DFS) and overall survival (OS) from the addition of sequential paclitaxel (T), but not from the escalation of doxorubicin (A) dose level in the adjuvant chemotherapy of patients (PTS) with node-positive primary breast cancer (BC). Proc Am Soc Clin Oncol 1998;17:101a.
  22. Polychemotherapy for early breast cancer: an overview of the randomized trials. Early Breast Cancer Trialists Collaborative Group. Lancet 1998;352:930-942.[CrossRef][Medline]
  23. Prendergast GC. Farnesyltransferase inhibitors: antineoplastic mechanism and clinical prospects. Curr Opin Cell Biol 2000;12:166-173.[CrossRef][Medline]
  24. Ciardiello F, Caputo R, Bianco R et al. Antitumor effect and potentiation of cytotoxic drugs activity in human cancer cells by ZD-1839 (Iressa), an epidermal growth factor receptor-selective tyrosine kinase inhibitor. Clin Cancer Res 2000;6:2053-2063.[Abstract/Free Full Text]
  25. Kloog Y, Cox AD, Sinensky M. Concepts in Ras-directed therapy. Expert Opin Investig Drugs 1999;8:2121-2140.[CrossRef][Medline]
  26. Slamon DJ, Godolphin W, Jones LA et al. Studies of the HER-2/neu proto-oncogene in human breast and ovarian cancer. Science 1989;244:707-712.[Abstract/Free Full Text]
  27. Baselga J, Norton L, Masui H et al. Anti-tumor effects of doxorubicin in combination with anti-epidermal growth factor receptor monoclonal antibody. J Natl Cancer Inst 1993;85:1327-1333.[Abstract/Free Full Text]
  28. Pegram M, Hsu S, Lewis G et al. Inhibitory effects of combinations of HER-2/neu antibody and chemotherapeutic agents used for the treatment of human breast cancer. Oncogene 1999;18:2241-2251.[CrossRef][Medline]
  29. Slamon D, Leyland-Jones B, Shak S et al. Addition of Herceptin (humanized anti-HER2 antibody) to first line chemotherapy for HER2 overexpressing metastatic breast cancer (HER2+/MBC) markedly increases activity: a randomised, multinational controlled phase III trial. Proc Am Soc Clin Oncol 1998;17:98a.
  30. Norton L, Slamon D, Leyland-Jones B et al. Overall survival advantage to simultaneous chemotherapy plus the humanized anti-HER2 monoclonal antibody Herceptin in HER2-overexpressing metastatic breast cancer. Proc Am Soc Clin Oncol 1999;18:127a.
Received February 6, 2001; accepted for publication March 8, 2001.





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