-
3
-
-
79952186660
-
Toward a mathematical theory of living systems focusing on developmental biology and evolution: A review and perspectives
-
N. Bellomo, and B. Carbonaro Toward a mathematical theory of living systems focusing on developmental biology and evolution: a review and perspectives Phys. Life Rev. 8 1 2011 1 18
-
(2011)
Phys. Life Rev.
, vol.8
, Issue.1
, pp. 1-18
-
-
Bellomo, N.1
Carbonaro, B.2
-
4
-
-
33746069282
-
Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems
-
DOI 10.1142/S0218202506001443
-
N. Bellomo, and G. Forni Looking for new paradigms towards a biologicalmathematical theory of complex multicellular systems Math. Models Methods Appl. Sci. 16 2006 1001 1029 (Pubitemid 44076433)
-
(2006)
Mathematical Models and Methods in Applied Sciences
, vol.16
, Issue.7
, pp. 1001-1029
-
-
Bellomo, N.1
Forni, G.2
-
5
-
-
44349107599
-
On the foundations of cancer modelling: Selected topics, speculations, and perspectives
-
DOI 10.1142/S0218202508002796, PII S0218202508002796
-
N. Bellomo, Ph.K. Maini, and N.L. Martin On the foundations of cancer modelling: selected topics, speculations and perspectives Math. Models Methods Appl. Sci. 18 2008 593 646 (Pubitemid 351730142)
-
(2008)
Mathematical Models and Methods in Applied Sciences
, vol.18
, Issue.4
, pp. 593-646
-
-
Bellomo, N.1
Li, N.K.2
Maini, P.K.3
-
6
-
-
42149122635
-
Links between microscopic and macroscopic descriptions
-
Multiscale Problems in the Life Sciences. from Microscopic to Macroscopic
-
M. Lachowicz Links between microscopic and macroscopic descriptions V. Capasso, M. Lachowicz, Multiscale Problems in the Life Sciences. From Microscopic to Macroscopic Lecture Notes in Mathematics 2008 Springer 201 268
-
(2008)
Lecture Notes in Mathematics
, pp. 201-268
-
-
Lachowicz, M.1
-
7
-
-
77957755467
-
Microscopic, mesoscopic and macroscopic descriptions of complex systems
-
M. Lachowicz Microscopic, mesoscopic and macroscopic descriptions of complex systems Probab. Eng. Mech. 26 1 2011 54 60
-
(2011)
Probab. Eng. Mech.
, vol.26
, Issue.1
, pp. 54-60
-
-
Lachowicz, M.1
-
9
-
-
67249121364
-
Limit theorems for individuals-based models in economics and finance
-
D. Remenik Limit theorems for individuals-based models in economics and finance Stochastic Process. Appl. 119 2009 2401 2435
-
(2009)
Stochastic Process. Appl.
, vol.119
, pp. 2401-2435
-
-
Remenik, D.1
-
11
-
-
18944381178
-
On bilinear kinetic equations. between micro and macro descriptions of biological populations
-
M. Lachowicz On bilinear kinetic equations. Between micro and macro descriptions of biological populations Banach Center Publ. 63 2004 217 230
-
(2004)
Banach Center Publ.
, vol.63
, pp. 217-230
-
-
Lachowicz, M.1
-
12
-
-
18944388598
-
General population systems. Macroscopic limit of a class of stochastic semigroups
-
DOI 10.1016/j.jmaa.2005.03.020, PII S0022247X0500209X
-
M. Lachowicz General population systems. Macroscopic limit of a class of stochastic semigroups J. Math. Anal. Appl. 307 2005 585 605 (Pubitemid 40707091)
-
(2005)
Journal of Mathematical Analysis and Applications
, vol.307
, Issue.2
, pp. 585-605
-
-
Lachowicz, M.1
-
13
-
-
27644503155
-
Micro and meso scales of description corresponding to a model of tissue invasion by solid tumours
-
DOI 10.1142/S0218202505000935
-
M. Lachowicz Micro and meso scales of description corresponding to a model of tissue invasion by solid tumours Math. Models Methods Appl. Sci. 15 2005 1667 1683 (Pubitemid 41551042)
-
(2005)
Mathematical Models and Methods in Applied Sciences
, vol.15
, Issue.11
, pp. 1667-1683
-
-
Lachowicz, M.1
-
14
-
-
42149090450
-
Rescaling stochastic processes: Asymptotic
-
Multiscale Problems in the Life Sciences. from Microscopic to Macroscopic
-
V. Capasso, and D. Morale Rescaling stochastic processes: asymptotic V. Capasso, M. Lachowicz, Multiscale Problems in the Life Sciences. From Microscopic to Macroscopic Lecture Notes in Mathematics 2008 Springer 91 146
-
(2008)
Lecture Notes in Mathematics
, pp. 91-146
-
-
Capasso, V.1
Morale, D.2
-
15
-
-
70449515071
-
Asymptotic behavior of a system of stochastic particles subject to nonlocal interactions
-
V. Capasso, and D. Morale Asymptotic behavior of a system of stochastic particles subject to nonlocal interactions Stoch. Anal. Appl. 27 2009 574 603
-
(2009)
Stoch. Anal. Appl.
, vol.27
, pp. 574-603
-
-
Capasso, V.1
Morale, D.2
-
16
-
-
33645741606
-
Unifying evolutionary dynamics: From individual stochastic processes to macroscopic models
-
N. Champagnat, R. Ferrire, and S. Mlard Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models Theor. Popul. Biol. 69 2006 297 321
-
(2006)
Theor. Popul. Biol.
, vol.69
, pp. 297-321
-
-
Champagnat, N.1
Ferrire, R.2
Mlard, S.3
-
17
-
-
55849103220
-
From individual stochastic processes to macroscopic models in adaptive evolution
-
N. Champagnat, R. Ferrire, and S. Mlard From individual stochastic processes to macroscopic models in adaptive evolution Stoch. Models 24 2008 2 44 2006, pp. 297321
-
(2008)
Stoch. Models
, vol.24
, pp. 2-44
-
-
Champagnat, N.1
Ferrire, R.2
Mlard, S.3
-
19
-
-
13844298300
-
An interacting particle system modelling aggregation behavior: From individuals to populations
-
DOI 10.1007/s00285-004-0279-1
-
D. Morale, V. Capasso, and K. Oelschlger An interacting particle system modelling aggregation behaviour: from individuals to populations J. Math. Biol. 50 2005 49 66 (Pubitemid 40240753)
-
(2005)
Journal of Mathematical Biology
, vol.50
, Issue.1
, pp. 49-66
-
-
Morale, D.1
Capasso, V.2
Oelschlager, K.3
-
20
-
-
0034455986
-
The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems
-
DOI 10.1137/S0036139998342065, PII S0036139998342065
-
A. Stevens The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems SIAM J. Appl. Math. 61 2000 183 212 (Pubitemid 32286522)
-
(2000)
SIAM Journal on Applied Mathematics
, vol.61
, Issue.1
, pp. 183-212
-
-
Stevens, A.1
-
21
-
-
3943098680
-
Stochastic interacting particle systems and nonlinear kinetic equations
-
DOI 10.1214/aoap/1060202829
-
A. Eibeck, and W. Wagner Stochastic interacting particle systems and nonlinear kinetic equations Ann. Appl. Probab. 13 2003 845 889 (Pubitemid 39050992)
-
(2003)
Annals of Applied Probability
, vol.13
, Issue.3
, pp. 845-889
-
-
Eibeck, A.1
Wagner, W.2
-
22
-
-
21444453847
-
A functional law of large numbers for Boltzmann type stochastic particle systems
-
W. Wagner A functional law of large numbers for Boltzmann type stochastic particle systems Stoch. Anal. Appl. 14 1996 591 636
-
(1996)
Stoch. Anal. Appl.
, vol.14
, pp. 591-636
-
-
Wagner, W.1
-
25
-
-
0344211073
-
An integrodifferential model for orientational distribution of F-actin in cells
-
E. Geigant, K. Ladizhansky, and A. Mogilner An integrodifferential model for orientational distribution of F-actin in cells SIAM J. Appl. Math. 59 1998 787 809
-
(1998)
SIAM J. Appl. Math.
, vol.59
, pp. 787-809
-
-
Geigant, E.1
Ladizhansky, K.2
Mogilner, A.3
-
26
-
-
0026932946
-
On the distribution of dominance in populations of social organisms
-
E. Jger, and L. Segel On the distribution of dominance in a population of interacting anonymous organisms SIAM J. Appl. Math. 52 1992 1442 1468 (Pubitemid 23589677)
-
(1992)
SIAM Journal on Applied Mathematics
, vol.52
, Issue.5
, pp. 1442-1468
-
-
Jager Eva1
Segel Lee, A.2
-
27
-
-
0347081772
-
Nonlocal bilinear equations. Equilibrium solutions and diffusive limit
-
M. Lachowicz, and D. Wrzosek Nonlocal bilinear equations. Equilibrium solutions and diffusive limit Math. Models Methods Appl. Sci. 11 2001 1375 1390
-
(2001)
Math. Models Methods Appl. Sci.
, vol.11
, pp. 1375-1390
-
-
Lachowicz, M.1
Wrzosek, D.2
-
28
-
-
0024731820
-
The quasi-steady-state assumption: A case study in perturbation
-
L.A. Segel, and M. Slemrod The quasi-steady-state assumption: a case study in perturbation SIAM Rev. 31 1989 446 477
-
(1989)
SIAM Rev.
, vol.31
, pp. 446-477
-
-
Segel, L.A.1
Slemrod, M.2
-
30
-
-
33747088162
-
Tumor-immune system interaction: Modeling the tumor-stimulated proliferation of effectors and immunotherapy
-
DOI 10.1142/S0218202506001571, PII S0218202506001571
-
A. d'Onofrio Tumor-immune system interaction modeling the tumor-stimulated proliferation of effectors and immunotherapy Math. Models Methods Appl. Sci. 16 8 2006 1375 1401 (Pubitemid 44221742)
-
(2006)
Mathematical Models and Methods in Applied Sciences
, vol.16
, Issue.8
, pp. 1375-1401
-
-
D'Onofrio, A.1
-
31
-
-
38849187163
-
Metamodeling tumor-immune system interaction, tumor evasion and immunotherapy
-
A. d'Onofrio Metamodeling tumor-immune system interaction, tumor evasion and immunotherapy Math. Comput. Modelling 46 2008 614 637
-
(2008)
Math. Comput. Modelling
, vol.46
, pp. 614-637
-
-
D'Onofrio, A.1
|