-
3
-
-
0030822132
-
The effect of time delay on the dynamics of avascular tumor growth
-
Byrne HM, The effect of time delay on the dynamics of avascular tumor growth, Math Biosci 144:83-117, 1997.
-
(1997)
Math Biosci
, vol.144
, pp. 83-117
-
-
Byrne, H.M.1
-
4
-
-
0023803541
-
Reduction of cytotoxicity to normal tissues by new regimens of cell-cycle phase-specific drugs
-
Agur Z, Arnon R, Schechter B, Reduction of cytotoxicity to normal tissues by new regimens of cell-cycle phase-specific drugs, Math Biosci 92:1-15, 1988.
-
(1988)
Math Biosci
, vol.92
, pp. 1-15
-
-
Agur, Z.1
Arnon, R.2
Schechter, B.3
-
5
-
-
0020841585
-
Optimal scheduling for cell synchronization by cell-phase specific blockers
-
Dibrov BF, Zhabotinsky AM, Neyfakh YuA, Orlova MP, Churikova LI, Optimal scheduling for cell synchronization by cell-phase specific blockers, Math Biosci 66:167-185, 1983.
-
(1983)
Math Biosci
, vol.66
, pp. 167-185
-
-
Dibrov, B.F.1
Zhabotinsky, A.M.2
Neyfakh, Y.A.3
Orlova, M.P.4
Churikova, L.I.5
-
6
-
-
0022034201
-
Mathematical model of cancer chemotherapy. Periodic schedules of phase-specific cytotoxic-agent administration increasing the selectivity of therapy
-
Dibrov BF, Zhabotinsky AM, Neyfakh YuA, Orlova MP, Churikova LI, Mathematical model of cancer chemotherapy. Periodic schedules of phase-specific cytotoxic-agent administration increasing the selectivity of therapy, Math Biosci 73:1-31, 1985.
-
(1985)
Math Biosci
, vol.73
, pp. 1-31
-
-
Dibrov, B.F.1
Zhabotinsky, A.M.2
Neyfakh, Y.A.3
Orlova, M.P.4
Churikova, L.I.5
-
7
-
-
2642549045
-
Phase-specific chemotherapy of cancer: Optimization of scheduling and rationale for periodic protocols
-
Swierniak A, Polariski A, Duda, Z, Kimmel M, Phase-specific chemotherapy of cancer: optimization of scheduling and rationale for periodic protocols, Biocybern Biomed Eng 16(3-4):13-41, 1996.
-
(1996)
Biocybern Biomed Eng
, vol.16
, Issue.3-4
, pp. 13-41
-
-
Swierniak, A.1
Polariski, A.2
Duda, Z.3
Kimmel, M.4
-
8
-
-
0003293418
-
On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies
-
Gompertz B, On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies, Philos Trans R Soc 115:513-585, 1825.
-
(1825)
Philos Trans R Soc
, vol.115
, pp. 513-585
-
-
Gompertz, B.1
-
9
-
-
84966166281
-
Dynamics of tumour growth
-
Laird AK, Dynamics of tumour growth, Br J Cancer 18:490-502, 1964.
-
(1964)
Br J Cancer
, vol.18
, pp. 490-502
-
-
Laird, A.K.1
-
10
-
-
0001315130
-
Dynamics of tumour growth: Comparison of growth rates and extrapolation of growth curve to one cell
-
Laird AK, Dynamics of tumour growth: comparison of growth rates and extrapolation of growth curve to one cell, Br J Cancer 19:278-291, 1965.
-
(1965)
Br J Cancer
, vol.19
, pp. 278-291
-
-
Laird, A.K.1
-
11
-
-
33645084765
-
Circular casual systems in ecology
-
Hutchinson GE, Circular casual systems in ecology, Ann NY Acad Sci 50:221-246, 1948.
-
(1948)
Ann NY Acad Sci
, vol.50
, pp. 221-246
-
-
Hutchinson, G.E.1
-
12
-
-
0021858751
-
Zur praxis der anpassung der logistichen function an das Wachstum exprerimenteller tumoren
-
Krug H, Taubert G, Zur praxis der anpassung der logistichen function an das Wachstum exprerimenteller tumoren, Arch Geschwulstforsch 55:235-244, 1985.
-
(1985)
Arch Geschwulstforsch
, vol.55
, pp. 235-244
-
-
Krug, H.1
Taubert, G.2
-
13
-
-
0039403613
-
Reconstruction models for the Ehrlich Ascites tumor for the mouse
-
eds, Wuertz, Winnipeg, Canada
-
Schuster R, Schuster H, Reconstruction models for the Ehrlich Ascites tumor for the mouse, in Arino O, Axelrod D, Kimmel M (eds.), Mathematical Population Dynamics, Vol. 2, pp. 335-348, Wuertz, Winnipeg, Canada, 1995.
-
(1995)
Mathematical Population Dynamics
, vol.2
, pp. 335-348
-
-
Schuster, R.1
Schuster, H.2
-
14
-
-
0001119103
-
Notice sur la loi que population suit dans son accroissement
-
Verhulst PF, Notice sur la loi que population suit dans son accroissement, Corr Math Et Phys 10:113-121, 1838.
-
(1838)
Corr Math Et Phys
, vol.10
, pp. 113-121
-
-
Verhulst, P.F.1
-
15
-
-
0000128125
-
Models for the growth of solid tumour by diffusion
-
Greenspan HP, Models for the growth of solid tumour by diffusion, Stud Appl Math 52:317-340, 1972.
-
(1972)
Stud Appl Math
, vol.52
, pp. 317-340
-
-
Greenspan, H.P.1
-
16
-
-
0016373920
-
On the self inhibited growth of cell cultures
-
Greenspan HP, On the self inhibited growth of cell cultures, Growth 38:81-95, 1974.
-
(1974)
Growth
, vol.38
, pp. 81-95
-
-
Greenspan, H.P.1
-
17
-
-
0017198676
-
On the growth and stability of cell cultures and solid tumors
-
Greenspan HP, On the growth and stability of cell cultures and solid tumors, J Theor Biol 56:229-242, 1976.
-
(1976)
J Theor Biol
, vol.56
, pp. 229-242
-
-
Greenspan, H.P.1
-
18
-
-
34248645088
-
Phys Rev E(3)
-
011814, 8pp
-
Frank TD, Multivariate Markov process for stochastic systems with delay: application to stochastic Gompertz model with delay, Phys Rev E(3) 66(1):011814, 8pp, 2002.
-
(2002)
, vol.66
, Issue.1
-
-
Frank, T.D.1
-
19
-
-
37149054473
-
Environmental stochasticity of Gompretz model with time delay
-
Prajneshu, Environmental stochasticity of Gompretz model with time delay, Comm Statist A Theory Methods 12(12):1359-1369, 1983.
-
(1983)
Comm Statist A Theory Methods
, vol.12
, Issue.12
, pp. 1359-1369
-
-
Prajneshu1
-
20
-
-
0002916961
-
Mathematical modeling of tumor growth kinetics
-
Adam JA, Bellomo N eds, Birkhäuser, Boston, pp
-
Bajzer Z, Vuk-Pavlovic S, Huzak M, Mathematical modeling of tumor growth kinetics, in Adam JA, Bellomo N (eds.), A Survey of Models for Tumor-Immune System Dynamics, Birkhäuser, Boston, pp. 89-133, 1997.
-
(1997)
A Survey of Models for Tumor-Immune System Dynamics
, pp. 89-133
-
-
Bajzer, Z.1
Vuk-Pavlovic, S.2
Huzak, M.3
-
21
-
-
0028133084
-
Comparative Gompertzian analysis of alterations of tumor growth patterns
-
Bassukas ID, Comparative Gompertzian analysis of alterations of tumor growth patterns, Cancer Res. 54:4385-4392, 1994.
-
(1994)
Cancer Res
, vol.54
, pp. 4385-4392
-
-
Bassukas, I.D.1
-
22
-
-
0030880529
-
The response of tumors with Gompertzian growth characteristics to fractionated radiotherapy
-
O'Donoghue JA, The response of tumors with Gompertzian growth characteristics to fractionated radiotherapy, Int J Radiat Biol 72(3):325-339, 1997.
-
(1997)
Int J Radiat Biol
, vol.72
, Issue.3
, pp. 325-339
-
-
O'Donoghue, J.A.1
-
26
-
-
0007894647
-
The nonnegativity of solutions of delay differential equations
-
Bodnar M, The nonnegativity of solutions of delay differential equations, Appl Math Lett 13(6):91-95, 2000.
-
(2000)
Appl Math Lett
, vol.13
, Issue.6
, pp. 91-95
-
-
Bodnar, M.1
-
27
-
-
2442662675
-
Global stability for a class of delay differential equations
-
Foryś U, Global stability for a class of delay differential equations, Appl Math Lett 17:581-584, 2004.
-
(2004)
Appl Math Lett
, vol.17
, pp. 581-584
-
-
Foryś, U.1
-
28
-
-
37149050321
-
-
Warsaw University
-
Bodnar M, Foryś U, Global Stability and the Hopf Bifurcation for Some Class of Delay Differential Equations, preprint of the Institute of Applied Mathematics and Mechanics, Warsaw University, No. 158, 2006.
-
(2006)
Global Stability and the Hopf Bifurcation for Some Class of Delay Differential Equations, preprint of the Institute of Applied Mathematics and Mechanics
, Issue.158
-
-
Bodnar, M.1
Foryś, U.2
-
29
-
-
0003590065
-
-
Springer-Verlag, New York
-
Diekmann O, van Giles S, Verduyn Lunel S, Walter HO, Delay Equations, Springer-Verlag, New York, 1995.
-
(1995)
Delay Equations
-
-
Diekmann, O.1
van Giles, S.2
Verduyn Lunel, S.3
Walter, H.O.4
-
32
-
-
7044226613
-
Biological delay systems and the Mikhailov criterion of stability
-
Foryś U, Biological delay systems and the Mikhailov criterion of stability, J Biol Sys 12(1):1-16, 2004.
-
(2004)
J Biol Sys
, vol.12
, Issue.1
, pp. 1-16
-
-
Foryś, U.1
|