Kimmel M and Axelrod DE. Branching Processes in
Biology. Springer, New York. To appear, March 2002.
Arino, O., Kimmel, M. and Witten, M. Proceedings of
the Conference on Mathematical Population Dynamics, November 20-22, 1986.
Published as vol. 18, no. 10/11, Computers and Mathematics with Applications,
Pergamon Press, New York, 1989, pp. 851-982.
Arino,
O., Axelrod, D.E. and Kimmel, M. Mathematical Population Dynamics: Proceedings
of the Second International Conference. Marcel Dekker, New York, 1991, pp.
1-780.
M. Kimmel and A. Swierniak, Control and Modeling of
Cancer Cell Populations. Special Issue of Applied Mathematics and Computer
Science, Vol.4, No. 2, 1994.
Arino, O., Axelrod, D.E. and Kimmel, M. Mathematical
Population Dynamics: Proceedings of the Third International Conference. Wuerz
Publishing Co., Winnipeg, Manitoba, 1995, vol. 1, pp. 1-393; vol. 2, pp. 1-370.
Arino, O., Axelrod, D.E. and Kimmel, M. Mathematical
Population Dynamics: Proceedings of the Fourth International Conference. World
Scientific, Singapore, 1998, pp. 1-920.
1.
Kimmel,
M. and M. Wazewska-Czyzewska. Analysis of Different Variants of Erythrocyte
Survival with the Use of Digital Computer. Acta
Haemat Pol 10: 1-6, 1979.
2.
Kimmel,
M. Mathematical Model of the Proliferation Cycle of Lymphoblastic Leukemia
Cells. Acta Haemat Pol 10: 91-98, 1979.
3.
Kimmel,
M. An Approach to Cellular Population Kinetics Investigation and Modeling. Proc IV Int Symp System, Modeling, Control.
Lodz University Press, Lodz (Poland), 2: 100-105, 1979.
3a.
Kimmel
M (1978) Analysis and modeling of the nonsteady assembly line process (in
Polish, English abstract). Technical
Reports of the Silesian Technical University, series Automation (Zeszyty
Naukowe Politechniki Slaskiej, seria Automatyka), 43: 45-52.
3b.
Kimmel
M (1979) Statistical problems in the assembly process (in Polish, English
abstract). Technical Reports of the
Silesian Technical University, series Automation (Zeszyty Naukowe Politechniki
Slaskiej, seria Automatyka), 47:
107-116.
3c.
Kimmel
M (1980) Application of a Monte-Carlo method to the sequence optimization in
the sequencing problem (in Polish, English abstract). Technical Reports of the Silesian Technical University, series
Automation (Zeszyty Naukowe Politechniki Slaskiej, seria Automatyka), 53: 101-110.
3d.
Kimmel
M (1980) Application of the point process theory to the assembly knot design
(in Polish, English abstract). Technical
Reports of the Silesian Technical University, series Automation (Zeszyty
Naukowe Politechniki Slaskiej, seria Automatyka), 54: 89-97.
3e.
Kimmel
M (1982) Specific problems in the queuing theory related to the discrete
industrial processes. I: Basic models (in Polish, English abstract). Technical Reports of the Silesian Technical
University, series Automation (Zeszyty Naukowe Politechniki Slaskiej, seria
Automatyka), 65: 89-99.
3f.
Kimmel
M (1982) Specific problems in the queuing theory related to the discrete
industrial processes. II: Limit laws for a simple process (in Polish, English
abstract). Technical Reports of the
Silesian Technical University, series Automation (Zeszyty Naukowe Politechniki
Slaskiej, seria Automatyka), 65:
101-109.
3g.
Kimmel
M (1982) Specific problems in the queuing theory related to the discrete industrial
processes. III: Further limit properties (in Polish, English abstract). Technical Reports of the Silesian Technical
University, series Automation (Zeszyty Naukowe Politechniki Slaskiej, seria
Automatyka), 65: 111-120.
4.
Kimmel,
M. Cellular Population Dynamics I: Model Construction and Reformulation. Math Biosci 48: 211-224, 1980. [10]
5.
Kimmel,
M. Cellular Population Dynamics II: Investigation of Solutions. Math Biosci 48: 225-239, 1980. [8]
6.
Kimmel,
M. A Modified Periodogram Method as a Tool for Investigation of Randomly
Disturbed Biorythms. Bull Acad Sci Pol
Biol Ser 27: 1047-1052,
1979.
7.
Kimmel,
M. Time-Discrete Model of Cellular Population Dynamics. Systems Sci 6: 343-360,
1980.
8.
Kimmel,
M. Stability of Control Coupling of Red Blood Cell System (in Polish, English
abstract). Post Cyber 4: 25-38, 1981.
9.
Kimmel,
M. Integro-Differential Equations in Cellular Population Dynamics. Functional Differential Systems and Related
Topics (Kisielewicz, M., ed.). Math Inst Pol Acad Sci, Zielona Gora
(Poland), pp. 149-160, 1980.
10.
Kimmel,
M. General Theory of Cell Cycle Dynamics Based on Branching Processes in
Varying Environment (Rotenberg M, ed). Biomathematics
and Cell Kinetics Elsevier/North Holland Biomedical Press, Amsterdam, pp.
357-375, 1981. [5]
11.
Kimmel,
M. An Equivalence Result for Integral Equations with Application to Branching
Processes. Bull Math Biol 44: 1-15, 1982. [2]
12.
Kimmel,
M. Branching Processes in Varying Environment as Dynamical Systems with
Heredity. Functional Differential Systems
and Related Topics II (Kisielewicz, M., ed.). Math Inst Pol Acad Sci,
Zielona Gora (Poland), pp. 164-177, 1981.
13.
Kimmel,
M. The Point Process Approach to Age- and Time-Dependent Branching Processes. Adv Appl Prob 15: 1-20, 1983.
14.
Kimmel,
M., B. Kimmel and J. Skierski. Mathematical Model of Leukemic Cells Circulation
in the Mouse. Math Biosci 67: 81-99,
1983. [1]
15.
Kimmel,
M., F. Traganos and Z. Darzynkiewicz. Do all Daughter Cells Enter the
`Indeterminate' (`A') State of the Cell Cycle? Analysis of Stathmokinetic Experiment
on L1210 Cells. Cytometry 4: 191-201, 1983. [19]
16.
Kimmel,
M. and M. Wazewska-Czyzewska. Stochastic Approach to the Process of Red Cell
Destruction. Appl Mathematicae 17: 217-225, 1982.
17.
Kimmel,
M. and A. Swierniak. On a Certain Optimal Control Problem Related to the
Optimal Chemotherapy of Leukemia. (in Polish, English abstract). Technical reports of the Silesian Technical
University, Series Automation (Zeszyty Naukowe Politechniki Slaskiej, Seria
Automatyka) 65: 121-130,
1982.
17a.
Wojtusiak
J; Kisiel E; Kimmel M The duration of larval development and individual larval
instars in singly reared caterpillars of Saturnia pavonia L. (Lepidoptera,
Saturniidae).Folia Biol (Krakow) 30: 21-7, 1982
18.
Kimmel,
M., Z. Darzynkiewicz, O. Arino and F. Traganos. Analysis of a Cell Cycle Model
Based on Unequal Division of Metabolic Constituents to Daughter Cells During
Cytokinesis. J Theor Biol 110: 637-664, 1984. [29]
19.
Darzynkiewicz,
Z., S. Carter and M. Kimmel. Effects of Tritium Labeled Uridine on the Cell
Cycle Progression of L1210 Cells. Cell
Tissue Kinet 17: 641-655, 1984.
[4]
20.
Flehinger,
B.J., M.R. Melamed, M.B. Zaman, R.J. Heelan, M. Kimmel, W.B. Perchick and M.
Martini. (1984) Screening for Early Detection of Lung Cancer in New York. A report of a UICC international workshop,
Venice, Italy November 14-16, 1983 (Prorok PC, Miller AB, eds). UICC
International Reports Series, Vol. 78, Geneva, pp. 123-135.
21.
Flehinger,
B.J. and M. Kimmel. The Natural History of Lung Cancer in a Periodically
Screened Population. IBM Res Rep, RC 11027, 1-44, 1985.
22.
Kimmel,
M. and F. Traganos. Kinetic Analysis of a Drug Induced G2 Block in Vitro. Cell Tissue Kinet 18: 91-110, 1985. [2]
23.
Arino,
O. and M. Kimmel. Asymptotic Analysis of a Functional-Integral Equation Related
to Cell Population Kinetics. Trends in
the Theory and Practice of Non-Linear Analysis. (Lakshmikantham, V., ed.).
North Holland, Amsterdam, pp. 27-32, 1985.
23a.
Kimmel
M; Bajkowska K; Rytwinski K A simple model of cell cycle dynamics with
application to estimation of cell cycle parameters. Acta Haematologica Polonica 16:
1-6, 1985.
24.
Kimmel,
M. Bayesian Birds: Concerning the Paper of RF Green. (In Polish, English
abstract). Ann Pol Math Soc Ser II Appl
Math 22: 175-178, 1983.
25.
Kimmel,
M. Nonparametric Analysis of Stathmokinesis. Math Biosci 74: 111-123,
1985. [4]
26.
Kimmel,
M. and O. Arino. Complex Proliferative Systems: Formal Description and
Qualitative Analysis. Systems Sci 9: 135-161, 1983.
27.
Kimmel,
M., Z. Darzynkiewicz and L. Staiano-Coico. Stathmokinetic Analysis of Human
Epidermal Cells in Vitro. Cell Tissue
Kinet 19: 289-304, 1986. [18]
28.
Staiano-Coico,
L., P.J. Higgins, Z. Darzynkiewicz, M. Kimmel, A. Gottlieb, I. Pagan-Charry,
M.R. Madden, J.L. Finkelstein and J.M. Hefton. Human Keratinocyte Culture:
Identification and Staging of Epidermal Cell Subpopulations. Journal of Clinical Invest 77: 396-404, 1986.
29.
Kimmel,
M. Does Competition for Food Imply Skewness? Math Biosci 80: 239-264,
1986. [5]
30.
Kimmel,
M. and F. Traganos. Estimation and Prediction of Cell Cycle Specific Effects of
Anticancer Drugs. Math Biosci 80: 187-208, 1986. [7]
31.
Darzynkiewicz,
Z., F. Traganos and M. Kimmel. Assay of Cell Cycle Kinetics by Multivariate
Flow Cytometry Using the Principle of Stathmokinesis. Techniques in Cell Cycle Analysis (Gray, J.E. and Z.
Darzynkiewicz, eds.). Humana Press, Clifton, NJ, pp. 291-336, 1986.
32.
Arino,
O. and M. Kimmel. Stability Analysis of Models of Cell Production Systems. Math Modeling 7: 1269-1300, 1986. [1]
33.
Arino,
O. and M. Kimmel. Asymptotic Analysis of a Cell Cycle Model Based on Unequal
Division. SIAM J Appl Math 47: 128-145, 1987. [15]
34.
Brustein,
S., D.A. Filippa, M. Kimmel, P.H. Lieberman and P.P.Rosen. Malignant Lymphoma
of the Breast: A Study of 53 Patients. Ann
Surgery 205: 144-150, 1987. [39]
35.
Flehinger,
B.J. and M. Kimmel. The Natural History of Lung Cancer in a Periodically
Screened Population. Biometrics 43: 127-144, 1987. [20]
36.
Badalament,
R.A., M. Kimmel, H. Gay, E.S. Cibas, W.F. Whitmore, H.W. Herr, W.R. Fair and
M.R. Melamed. The Sensitivity of Flow Cytometry Compared with Conventional
Cytology in the Detection of Superficial Bladder Carcinoma. Cancer 59: 2078-2085, 1987.
37.
Kimmel,
M. Metabolic Events in the Cell Cycle of Malignant and Normal Cells. A
Mathematical Modeling Approach. Cancer
Modeling (Thompson, J.R. and B. Brown, eds.). Marcel Dekker, New York, pp.
215-235, 1987.
38.
Badalament,
R., D.K. Hermansen, M. Kimmel, H. Gay, H.W. Herr, W.R. Fair, W.F. Whitmore Jr.
and M.R. Melamed. The Sensitivity of Bladder Wash Flow Cytometry, Bladder Wash
Cytology and Voided Cytology in the Detection of Bladder Carcinoma. Cancer 60: 1423-1427, 1987.
39.
Kinne,
D.W., J.A. Butler, M. Kimmel, B.J. Flehinger, C. Menendez-Botet and M.
Schwartz. Estrogen Receptor Protein of Breast Cancer in Patients with Positive
Nodes: High Recurrence Rates in the Postmenopausal Estrogen Receptor-Negative
Group. Arch Surg 122: 1303-1306, 1987.
40.
Traganos,
F., M. Kimmel, C. Bueti and Z. Darzynkiewicz. Effects of Inhibition of RNA or
Protein Synthesis on CHO Cell Cycle Progression. J Cell Physiol 133:
277-287, 1987.
41.
Staiano-Coico,
L., D.P. Hajjar, J.M. Hefton, K. Hajjar and M. Kimmel. Interaction of Arterial
Cells: III. Stathmokinetic Analyses of Smooth Muscle Cells Cocultured with
Endothelial Cells. J Cell Physiol 134: 485-490, 1988.
42.
Kimmel,
M. and O. Arino. On Active Linear Compartments. Math Comp Modeling 11:
1189-1194, 1988.
43.
Flehinger,
B.J., M. Kimmel and M.R. Melamed. The Natural History of Adenocarcinoma - Large
Cell Carcinoma of the Lung: Conclusions from Screening Programs in New York and
Baltimore. J Natl Cancer Inst 80: 337-344, 1988. [16]
44.
DeAngelis,
P., M. Kimmel, M. Lacher, D. Filippa and M.R. Melamed. T-Cell Subsets in
Peripheral Blood of Patients with Newly-Diagnosed and Post-treatment Hodgkin's
and Non-Hodgkin's Lymphomas: Analysis by Monoclonal Antibody Staining and Flow
Cytometry. Acta Cytol 10: 235-242, 1988.
45.
Lieberman,
P.H., M.F. Brennan, M. Kimmel, R.A. Erlandson, P. Garin-Chesa and B.J.
Flehinger. Alveolar Soft-Part Sarcoma. A Clinico-Pathologic Study of Half a
Century. Cancer 63: 1-13, 1989.
46.
Rosen,
P.P., M. Kimmel and D. Ernsberger. Mammary Angiosarcoma: The Prognostic
Significance of Tumor Differentiation. Cancer
62: 2145-2151, 1988.
47.
Cibas,
E.S., M.R. Melamed, M.B. Zaman and Kimmel, M. The Effects of Tumor Size and
Tumor Cell DNA Content on Survival of Patients with Stage I Adenocarcinoma of
the Lung. Cancer 63: 1552-1556, 1989.
48.
Kimmel,
M. and O. Arino. A System of Differential Equations Modeling the G1 Phase of
the Cell Cycle. Comp Math Appl 18: 907-917, 1989.
49.
Arino,
O. and M. Kimmel. Asymptotic Behavior of a Nonlinear Functional-Integral
Equation of Cell Kinetics with Unequal Division. J Math Biol 27: 341-354,
1989.
50.
Kunicka,
J.E., W. Olszewski, P.P. Rosen, M. Kimmel, M.R. Melamed and Z. Darzynkiewicz.
DNA in Situ Sensitivity to Denaturation as a Marker of Human Breast Tumors. Cancer Res. 49: 6347-6351, 1989.
51.
Rosen,
P.P. and M. Kimmel. Juvenile Papillomatosis of the Breast: A Follow-up Study of
41 Patients Having Biopsies Before 1979. Amer
J Clin Path 93: 599-603,
1990.
52.
Bretton,
P.R., H.W. Herr, W.F. Whitmore, R.A. Badalament, M. Kimmel, J. Provet, W.R.
Fair and M.R. Melamed. Intravesical Baccillus Calmette-Guerin Therapy for in
Situ Transitional Cell Carcinoma Involving the Prostatic Urethra. J Urology 141: 853-855, 1989.
53.
Kimmel,
M., A. Grossi, J. Amuasi and A.M. Vannucchi. Non-parametric Analysis of
Platelet Lifespan. Cell Tissue Kinet 23: 191-202, 1990.
54.
Hermansen,
D.K., R.A. Badalament, P.R. Bretton, M. Kimmel, C.M. Aswad, W.F. Whitmore Jr. and
M.R. Melamed. Voided Urine Flow Cytometry in Screening High-Risk Patients for
the Presence of Bladder Cancer. J Occup
Med 32: 894-897, 1990.
55.
Traganos,
F. and M. Kimmel. The Stathmokinetic Experiment: A Single-Parameter and
Multiparameter Flow Cytometric Analysis. Methods
in Cell Biology (Darzynkiewicz, Z. and H.A. Crissman, eds.). Academic
Press, NY, 23: 249-270, 1990.
56.
Rosen,
P.P. and M. Kimmel. Occult Breast Carcinoma Presenting with Axillary Lymph Node
Metastases: A Follow-up Study of 48 Patients. Hum Pathol 21: 518-523,
1990.
57.
Kimmel,
M. and D.E. Axelrod. Mathematical Models of Gene Amplification with
Applications to Cellular Drug Resistance and Tumorigenicity. Genetics 125: 633-644, 1990. [9]
58.
Greenlee,
P.G., D.A. Filippa, F.W. Quimby, A.K. Patnaik, S.E. Calvano, R.E. Matus, M.
Kimmel, A.I. Hurvitz and P.H. Lieberman. Lymphomas in Dogs: A Morphologic,
Immunologic, and Clinical Study. Cancer
66: 480-490, 1990. [44]
59.
Myc,
A., P. DeAngelis, M. Kimmel, M.R. Melamed and Z. Darzynkiewicz. Retention of the
Mitochondrial Probe Rhodamine 123 in Normal Lymphocytes and Leukemic Cells in
Relation to the Cell Cycle. Exp Cell Res
192: 198-202, 1991. [0]
60.
Bretton,
P.R., Z. Darzynkiewicz, E. Henry, M. Kimmel, W.R. Fair and M.R. Melamed. DNA in
Situ Sensitivity to Denaturation in Bladder Cancer and its Correlation with
Tumor Stage. Cancer Res 50: 7912-7914, 1990.
61.
Abati,
A., M. Kimmel and P.P. Rosen. Apocrine Mammary Carcinoma: A Clinicopathologic
Study of 72 Cases. Amer J Clin Path 94: 371-377, 1990.
62.
Arino,
O., M. Kimmel and M. Zerner. Analysis of a Cell Population Model with Unequal
Division and Random Transition. Mathematical
Population Dynamics (Arino, O., D.E. Axelrod and M. Kimmel, eds.). Marcel
Dekker, NY. pp.3-12, 1991. [1]
63.
Arino,
O. and M. Kimmel. Asymptotic Behavior of Nonlinear Semigroup Describing a Model
of Selective Cell Growth Regulation. Journal
of Mathematical Biology 29:
289-314, 1991. [3]
64.
Flehinger,
B.J. and M. Kimmel. Screening for Cancer in Relation to the Natural History of
Disease. Mathematical Population Dynamics
(Arino, O., D.E. Axelrod and M. Kimmel, eds.). Marcel Dekker, NY, pp. 383-390,
1991. [0]
65.
Darzynkiewicz,
Z., F. Traganos, M. Kimmel and A. Myc. Kinetic and Metabolic Heterogeneity of
Cells in the Cell Cycle. Stochastic
Modeling in Biology. Relevant Mathematical Concepts and Recent Applications
(Tautu, P., ed.). World Scientific Publishing, 1990.
66.
Enker,
W.E., M. Kimmel, E.S. Cibas, M.L. Cranor and M.R. Melamed. DNA/RNA Content and
Proliferative Fractions of Colorectal Carcinomas: A Five-Year Prospective Study
Relating Flow Cytometry to Survival. J
Natl Cancer Inst 83: 701-707,
1991. [32]
67.
Kimmel,
M. and O. Arino. Cell Cycle Kinetics with Supramitotic Control, Two Cell Types
and Unequal Division: A Model of Transformed Embryonic Cells. Math Biosci 105: 47-79, 1991. [8]
68.
Kimmel,
M. and B.J. Flehinger. Non-Parametric Estimation of the Size-Metastasis
Relationship in Solid Cancers. Biometrics,
47: 987-1004, 1991. [7]
69.
Bretton,
P.R., H.W. Herr, M. Kimmel, W.R. Fair, W.F. Whitmore, Jr. and M.R. Melamed.
Flow Cytometry as a Predictor of Response and Progression in Patients with
Superficial Bladder Cancer Treated with Bacillus Calmette-Guerin. The Journal of Urology 141: 1332-1336, 1989.
70.
Bretton
PR; Herr HW; Kimmel M; Whitmore WF Jr; Laudone V; Oettgen HF; Fair WR The
response of patients with superficial bladder cancer to a second course of
intravesical bacillus Calmette-Guerin. The
Journal of Urology 143: 710-2,
1990.
71.
Sanchez,
E., O. Arino and M. Kimmel. Noncompact Semigroups of Operators Generated by
Cell Kinetics Models. Diff Integr Equat
4: 1233-1249, 1991. [1]
72.
Kimmel,
M. and D.E. Axelrod. Unequal Cell Division, Growth Regulation and Colony Size
of Mammalian Cells: A Mathematical Model and Analysis of Experimental Data. Journal of Theoretical Biology 153: 157-180, 1991. [11]
73.
Flehinger,
B.J., M. Kimmel and M.R. Melamed. The Effect of Surgical Treatment on Survival
from Early Lung Cancer: Implications for Screening. Chest 101: 1013-1018,
1992. [34]
74.
Kimmel,
M., D.E. Axelrod and G.M. Wahl. A Branching Process Model of Gene Amplification
Following Chromosome Breakage. Mutation
Res. 276: 225-239, 1992. [16]
75.
Swierniak
A., and M. Kimmel. Optimal Control Application to Leukemia Chemotherapy
Protocols Design, (in Polish, English abstract). Technical reports of the Silesian Technical University, Series
Automation (Zeszyty Naukowe Politechniki Slaskiej, Seria Automatyka) 73: 261-277, 1984.
76.
Swierniak
A., and M. Kimmel. Cancer Cell Synchronization and Recruitment as Optimal
Control Problems, Proc. of 13th Worls
IMACS Congress, Dublin vol. 3:
1461-1462, 1991.
77.
Kapuscinski,
Jan, and Kimmel, Marek, Thermodynamical Model of Mixed Aggregation of
Intercalators with Caffeine in Aqueous Solution. Biophysical Chemistry 46:
153-163, 1993. [4]
78.
Flehinger,
B.J., M. Kimmel, T. Polyak, and M.R. Melamed. 1993 Screening for Lung Cancer:
The Mayo Lung Program Revisited. Cancer
72: 1573-1580. [11]
79.
Arino,
O. and M. Kimmel. Comparison of Approaches to Modeling of Cell Population
Dynamics. SIAM Journal of Applied Mathematics
53: 1480-1504, 1993. [2]
80.
Kusuda
L; Kimmel M; Fair WR; Melamed M Hypocellular bladder wash specimens and their
clinical significance. The Journal of
Urology 150: 1123-5, 1993. [1]
81.
Kimmel,
M. and D. Stivers. A Time-Continuous Branching Process Model of Unstable Gene
Amplification. Bulletin of Mathematical
Biology, 56: 337-357, 1994. [2]
82.
Kimmel,
M. and D. Axelrod. Fluctuation Test for Two-Stage Mutations: Application to
Gene Amplification. Mutation Research,
306: 45-60, 1994. [1]
83.
Axelrod
D.E., K.A. Baggerly and M. Kimmel. Gene Amplification by Unequal Sister
Chromatid Exchange: Probabilistic Modeling and Analysis of Drug Resistance
Data. Journal of Theoretical Biology,
168: 151-159, 1994. [2]
84.
Kimmel,
M. and O. Arino. Two Simple Models of Almost the Same Population with Very
Different Dynamics. Mathematical
Biosciences, 122: 183-200, 1994.
[0]
85.
M.
Kimmel. Rapid Genome Evolution and Cancer: A Modeling Perspective. Applied Mathematics and Computer Science,
Special Issue (M. Kimmel, A. Swierniak, eds.) 4: 163-177, 1994.
86.
O.
Arino and M. Kimmel. A Non-Differentiable Semigroup Generated by a Model of
Cell Population Dynamics. Applied
Mathematics and Computer Science, Special Issue (M. Kimmel, A Swierniak,
eds.) 4: 211-222, 1994.
87.
Flehinger,
B.J., and M. Kimmel. Early Lung Cancer Detection: Clinical Trials and
Statistical Models. Case Studies in
Biometry. (Lange, N., and L. Ryan, eds.). Wiley, NY. 1994, pp. 301-322. [2]
88.
Gelder-Ehm,
M.E., M. Kimmel and R. W. Cottingham. Methods of Error Detection in Genetic
Linkage Data for Human Pedigrees. Journal
of Biological Systems. 3: 13-25,
1995. [0]
89.
Baggerly,
K.A. and M. Kimmel. Emergence of Stable DNA Repeats from Random Sequences under
Unequal Sister Chromatid Exchange. Proceedings
of the I World Congress of Nonlinear Analysts, Tampa, Florida, August 1992.
Walter de Gruyter, Berlin, 1995, 3409-3418.
90.
Stivers,
D.N. and M. Kimmel. On the clonal inheritance model of cell proliferation. Proceedings of the I World Congress of
Nonlinear Analysts, Tampa, Florida, August 1992. Walter de Gruyter, Berlin,
1995, pp. 3401-3408.
91.
Arino
O., Kimmel M. and Webb G.F. Mathematical modeling of the loss of telomere
sequences. Journal of Theoretical Biology
. 177: 45-57, 1995. [5]
92.
Gelder
Ehm M., Kimmel M. and Cottingham R.W. Error Detection for Genetic Data, Using
Likelihood Methods. American Journal of
Human Genetics. 58: 225-234,
1996. [0]
93.
Kimmel
M., Chakraborty R., Stivers D.N. and Deka R. Dynamics of repeat Polymorphisms
under Forward-Backward Mutation Models: Within- and Between-Population
Variability at Microsatellite Loci. Genetics,
1996 [15]
94.
Stivers
D.N. and Kimmel M. A Continuous-Time, Multi-Type Generational Inheritance
Branching Process Model of Cell Proliferation with Clonal Memory. Nonlinear World, 3: 385-399, 1996.
95.
Stivers D.N., Kimmel M. and Axelrod D.E. A
Discrete-Time, Multi-Type Generational Inheritance Branching Process Model of
Cell Proliferation. Mathematical
Biosciences, 137: 25-50, 1996.
[1]
96.
Swierniak A., Polanski A. and M. Kimmel.
Optimal Control Problems Arising in Cell-Cycle-Specific Chemotherapy. Cell Proliferation, 1996. [0]
97.
Kimmel, M., O, Arino, and D.E. Axelrod. 1996.
Backward/forward duality of branching processes and cell population dynamics.
Pp. 233-240. In Differential Equations
and Applications to Biology and to Industry. M. Martelli, K. Cooke, E.
Cumberbatch, B. Tang and H. Thieme (eds.) World Scientific Publ. Co.
Singapore.
98.
M.
Kimmel. Quasistationarity in a Branching Model of Division-within-Division. Classical and Modern Branching Processes (P.
Jagers and K. Athreya, eds.) The IMA Volumes in Mathematics and Its
Applications. Vol. 84. Springer,
1996, pp. 157-164.
99.
Gawel B. and M. Kimmel. Iterated
Galton-Watson Process. Journal of Applied
Probability, 33: 949-959, 1996.
[3]
100.
M.
Kimmel and R. Chakraborty. Measures of Variation at Microsatellite Loci Under a
General Stepwise Mutation Model. Theoretical
Population Biology, 50: 345-367,
1996. [9]
101.
A. Swierniak, A. Polanski and M. Kimmel.
Control problems arising in chemotherapy under evolving drug resistance. Preprints of the 13th World Congress of
IFAC, Volume B, 411-416,
1996
102.
R.
Chakraborty, M. Kimmel, D.N. Stivers, R. Deka and L J. Davison. Relative
Mutation Rates at Di-, Tri-, and Tetra-Nucleotide Microsatellite Loci Proc. Natl. Acad. Sci. USA, 94:
1041-1046, 1997 [23]
103.
Staudte
R., Huggins R.M., Zhang J., Axelrod D.E., and M. Kimmel Estimating clonal
heterogeneity and interexperiment variability with the bifurcating
autoregressive model for cell lineage data. Mathematical
Biosciences, 1997 [0]
104.
Buhler
J., Owerbach D., Schaffer A.A., Kimmel M. and Gabbay K.H. Linkage analyses in type I diabetes mellitus
using CASPAR, a software and statistical program for conditional analysis of
polygenic diseases. Human Heredity, 1997, 47:
211-222. [4]
105.
Bat
O., Kimmel M. and Axelrod D.E. Computer Simulation Of Expansions of DNA Triplet
Repeats in the Fragile X Syndrome and Huntington's Disease. Journal of Theoretical Biology, 1997, 188: 53-67. [2]
106.
Engel
H., Goodacre A., Keyhani A., Jiang S., Van N.T., Kimmel M., Sanchez-Williams G.
and Andreeff M. Minimal residual disease in acute myelogenous leukemia and
myelodysplastic syndromes: A follow-up study of patients in clinical remission.
British Journal of Haematology, 1997,
99: 64-75. [3]
107.
Kimmel
M., Swierniak A., Polanski A. Infinite-Dimensional Model of Evolution of Drug
Resistance of Cancer Cells. Journal of
Mathematical Systems, Estimation and Control, 1998
108.
A.
Polanski, M. Kimmel, R. Deka and R. Chakraborty. Population Dynamics Model of
CTG Repeat Allele at DMPK Locus. Math. Biosci., 1998, 147: 93-112. [0]
109.
Swierniak
A., Polanski A. and M. Kimmel. Qualitative Analysis of the Infinite Model of
Drug Resistance Evolution. In Advances in
Mathematical Population Dynamics: Molecules, Cells and Man (Arino O.,
Axelrod D.E., and Kimmel M., eds.). World Scientific, Singapore, 1997, pp.
595-612.
110.
Bat
O., Kimmel M. and Axelrod D.E.Computer Simulation Of Expansions Of CGG DNA
Triplet Repeats in The Fragile X Syndrome. In Advances in Mathematical Population Dynamics: Molecules, Cells and Man
(Arino O., Axelrod D.E., and Kimmel M., eds.). World Scientific, Singapore,
1997, pp. 47-67.
111.
A.
Polanski, M. Kimmel and R. Chakraborty (1998) Application of a time-dependent
coalescence process for inferring the history of population size changes from
DNA sequence data. Proceedings of the
National Academy of Sciences USA, 95:
5456-5461. [1]
112.
M.
Kimmel, R. Chakraborty, J.P. King, M. Bamshad, W.S. Watkins and L.B. Jorde.
(1998) Signatures of Population Expansion in Microsatellite Repeat Data. Genetics, 148: 1921-1930. [7]
113.
P.
Olofsson, M. Kimmel (1999) Stochastic models of telomere shortening. Math Biosci. 158: 75-92. [0]
114.
Engel
H, Drach J, Keyhani A, Jiang S, Van NT, Kimmel M, Sanchez-Williams G, Goodacre
A, Andreeff M (1999) Quantitation of minimal residual disease in acute
myelogenous leukemia and myelodysplastic syndromes in complete remission by
molecular cytogenetics of progenitor cells. Leukemia.
13: 568-77. [0]
115.
Deka
R, Guangyun S, Smelser D, Zhong Y, Kimmel M, Chakraborty R (1999) Rate and
directionality of mutations and effects of allele size constraints at
anonymous, gene-associated, and disease-causing trinucleotide loci. Mol Biol Evol. 16: 1166-1177. [0]
116.
A.
Bobrowski and M. Kimmel (1999) Asymptotic behaviour of an operator exponential
related to branching random walk models of DNA repeats. Journal of Biological Systems 7:
33-43. [0]
117.
Kimmel
M (1999) Population Dynamics coded in DNA: Genetic traces of the expansion of
modern humans. Physica A 273: 158-168.
118.
A.
Bobrowski and M. Kimmel (1999) Dynamics of life history of a DNA repeat
sequences, Archives of Control Sciences 9.:57-68.
119.
J.
Polanska and M. Kimmel (1999) A model of dynamics of mutation, genetic drift
and recombination in DNA –repeat genetic loci. Archives of Control Sciences 9.:
143-158.
120.
King
JP, Kimmel M and Chakraborty R (2000) A power analysis of microsatellite-based
statistics for inferring past population growth Mol. Biol. Evol. 17:
1859-1868.
121.
A.
Bobrowski, M. Kimmel, O. Arino, R. Chakraborty (2001) A semigroup representation
and asymptotic behavior of certain statistics of the Fisher-Wright-Moran
coalescent. In Stochastic Processes:
Theory and Applications (Handbook of Statistics series) C.R. Rao and D.N.
Shanbhag, eds. Elsevier Science, Amsterdam.
122.
Renwick
A, Davison L, Spratt H, King JP, Kimmel M (2001) DNA dinucleotide evolution in
humans: fitting theory to facts. Genetics 159: 737-747.
123.
Olofsson
O, Schwalb O, Chakraborty R, Kimmel M (2001) An application of a general
branching process in the study of the genetics of aging. Journal of Theoretical
Biology 213: 547-557.
124.
Gorlova
OY, Kimmel M, Henschke C (2001) Modeling of long-term screening for lung
carcinoma. Cancer 92: 1531-1540.
125.
Bobrowski
A, Wang N, Chakraborty R, Kimmel M (2002) Non-homogeneous infinite sites model
under demographic change: mathematical description and asymptotic behavior of
pairwise distributions. Math Biosci. 175: 83-115.
126.
Trikka
D, Fang Z, Renwick A, Jones SH, Chakraborty R, Kimmel M, Nelson D. (2002)
Complex SNP-Based Haplotypes in Three Human Helicases: Implications for Cancer Association
Studies. Genome Research 12: 627-639.
K.
Fujarewicz, M. Kimmel, J. Rzeszowska-Wolny and A. Swierniak. A note on
classification of gene expression data using support vector machines. Submitted
to Journal of Biological Systems.
K. Simek and M. Kimmel. A computer algorithm
of estimation of dynamics of multiple gene expression based on singular value decomposition. Submitted to Mathematical Biosciences.
Published
Abstracts (Recent)
1.
R.
Chakraborty, M. Kimmel, L. Jin, D.N. Stivers, Y. Zhong, D. Smelser, R. Deka.
(1999) Repeat polymorphisms versus Simple Nucleotide Polymorphisms:
Implications for genome diversity studies. Amer
J Human Genet 65: A41.
2.
M.
Kimmel, R. Chakraborty, L. Jin, R. Deka (1999) Single Nucleotide Polymorphisms:
Mathematical modeling of the ascertainment bias and a comparison with sample
distributions. Amer J Human Genet 65: A84.
3.
J.P.
King, M. Kimmel, R. Chakraborty (1999) Microsatellite-based statistics for
inferring the past population growth. Amer
J Human Genet 65: A207.
4.
V.S.
Pankratz, M. Kimmel, R. Chakraborty (1999) Mutations and their effect on
linkage disequilibrium mapping. Amer J
Human Genet 65: A439.
5.
R.
Chakraborty, N. Wang, M. Kimmel, L. Jin, R. Deka, B. Budowle (2000) Evidence of
frequent recurrent mutations at Single Nucleotide Polymorphism sites in the
control region of the human mitochondrial genome. Amer J Human Genet 67:
A88.
6.
N.
Wang, R. Chakraborty, M. Kimmel, L. Jin (2000)
Haplotype inference from genotype data of random samples from
populations and detection of recombination between sites. Amer J Human Genet 67: A89.
7.
P.E.
Bonnen, D. Trikka, Z. Fang, M.M. Weil, M. Kimmel, R. Chakraborty, D.L. Nelson
(2000) Genome wide variation in LD:
Insights for association studies. . Amer
J Human Genet 67: A456.
8.
A.
Renwick, P. Bonnen, D. Trikka, D. Nelson, R. Chakraborty, M. Kimmel
9.
(2000)
Sampling properties of estimators of nucleotide diversity at discovered SNP
sites. Amer J Human Genet 67:
A1192.
10.
M.
Kimmel, R. Chakraborty (2000) Single Nucleotide Polymorphisms: Effects of mutation, recombination and
genetic drift. Amer J Human Genet 67:
A1278.
11.
S.R.
Indugula, G. Sun, S. Chunhua, D. Smelser, R. Kaushal, H. Xu, M. Kimmel, Y.
Zhong, R. Chakraborty, R. Deka (2000) Microsatellite loci in the HlA-Class 1
gene region show weak evidence of over-dominant selection. Amer J Human Genet 67: A1280.
12.
H.
Xu, A. Renwick, M. Kimmel, R. Deka, R. Chakrabort (2000) Validity of homozygosity test of selective neutrallity at
microsatellite loci. Amer J Human Genet 67:
A1289.
13.
R.
Chakraborty, L. Jin, R. Deka, M. Kimmel (2001) .Extent and Pattern of Gene
Diversity at Microsatellite Loci:
Implications for Disease-Gene Association Studies. Amer J
Human Genet 69: A262.
14.
A.
Renwick, P. Bonnen, D. Trikka, D. Nelson, R. Chakraborty, M. Kimmel (2001)
Single-Nucleotide Polymorphisms at Several Cancer Susceptibility Genes Do Not
Conform to the Infinite Site model of Mutation. Amer J Human Genet 69:
A1380.
15.
H.
Xu, A. Renwick, M. Kimmel, R. Chakraborty (2001) Effects of Population
Substructure on the Homozygosity Test of Neutrality under the Stepwise Mutation
Model. . Amer J Human Genet69: A1393.
16.
M.
Kimmel, A. Renwick, R. Deka, R. Chakraborty (2001) Evolution of Microsatellite
Loci and Past Demography of Modern Humans. .
Amer J Human Genet 69:
A1418.
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Y.A. Equilibrium and Stability in Models of Population Dynamics. Nauka, Moscow
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