A mathematical model of adult subventricular neurogenesis

Journal of the Royal Society Interface

Volumn 9, Issue 75, 2012, Pages 2414-2423

  Ashbourn, J M A ^a   Miller, J J ^a   Reumers, V ^a   Baekelandt, V ^b   Geris, L ^b,c  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF LEUVEN   (Belgium)

^c UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

Chemotaxis; Mathematical model; Neurogenesis; Sensitivity analysis; Sloppiness

Indexed keywords

BIOASSAY; BIOCHEMISTRY; MAMMALS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PHYSIOLOGY; SENSITIVITY ANALYSIS;

BIOLUMINESCENT IMAGING; CELL MIGRATION; CHEMOATTRACTANTS; CHEMOTAXIS; CORRESPONDING SOLUTIONS; IN-VIVO; IN-VIVO IMAGING; NEUROGENESIS; OLFACTORY BULBS; PARAMETER SET; PARAMETER SPACES; QUANTITATIVE PREDICTION; RODENT MODELS; SLOPPINESS;

PHYSIOLOGICAL MODELS;

CHEMOATTRACTANT;

ARTICLE; BIOLUMINESCENCE; BRAIN ELECTROPHYSIOLOGY; BRAIN NERVE CELL; CELL MIGRATION; CONTROLLED STUDY; IN VIVO STUDY; MATHEMATICAL MODEL; MATHEMATICAL PARAMETERS; NERVOUS SYSTEM DEVELOPMENT; NONHUMAN; OLFACTORY BULB; RODENT; SENSITIVITY ANALYSIS; STATISTICS; SUBVENTRICULAR ZONE;

MAMMALIA; RODENTIA;

EID: 84866260052     PISSN: 17425689     EISSN: 17425662     Source Type: Journal    
DOI: 10.1098/rsif.2012.0193     Document Type: Article

References (42)

1. Lledo, P., Alonso, M. & Grubb, M. 2006 Adult neurogenesis and functional plasticity in neuronal circuits. Nat. Rev. Neurosci. 7, 179-193. (doi:10.1038/nrn1867)
2. Alvarez-Buylla, A. & Garcia-Verdugo, J. 2002 Neurogenesis in adult subventricular zone. J. Neurosci. 22, 629-634.
3. Snapyan, M. et al. 2009 Vasculature guides migrating neuronal precursors in the adult mammalian forebrain via brain-derived neurotrophic factor signaling. J. Neurosci. 29, 4172-4188. (doi:10.1523/JNEUROSCI.4956-08.2009)
4. Whitman, M. C., Fan,W., Rela, L., Rodriguez-Gil, D. J. & Greer, C. A. 2009 Blood vessels form a migratory scaffold in the rostral migratory stream. J. Comp. Neurol. 516, 94-104. (doi:10.1002/cne.22093)
5. Kaneko, N. et al. 2011 New neurons clear the path of astrocytic processes for their rapid migration in the adult brain. Neuron 67, 213-223. (doi:10.1016/j.neuron.2010.06.018)
6. Menezes, J., Smith, C., Nelson, K. & Luskin, M. 1995 The division of neuronal progenitor cells during migration in the neonatal mammalian forebrain. Mol. Cell. Neurosci. 6, 496-508. (doi:10.1006/mcne.1995.0002)
7. Smith, M. C. M. 1998 Cell cycle length of olfactory bulb neuronal progenitors in the rostral migratory stream. Develop. Dynam. 213, 220-227. (doi:10.1002/(SICI)1097-0177(199810)213:2〈220::AID-AJA7〉3.0.CO;2-I)
8. Reumers, V. et al. 008 Noninvasive and quantitative monitoring of adult neuronal stem cell migration in mouse brain using bioluminescence imaging. Stem Cells 26, 2382-2390. (doi:10.1634/stemcells.2007-1062)
9. Cao, L., Jiao, X., Zuzga, D., Liu, Y., Fong, D., Young, D. & During, M. 2004 Vegf links hippocampal activity with neurogenesis, learning and memory. Nat. Genet. 36, 827-835. (doi:10.1038/ng1395)
10. Frielingsdorf, H., Simpson, D., Thal, L. & Pizzo, D. 2007 Nerve growth factor promotes survival of new neurons in the adult hippocampus. Neurobiol. Dis. 26, 47-55. (doi:10.1016/j.nbd.2006.11.015)
11. Jin, K., Sun, Y., Xie, L., Batteur, S., Mao, X., Smelick, C., Logvinova, A. & Greenberg, D. 2003 Neurogenesis and aging, Fgf-2 and hb-egf restore neurogenesis in hippocampus and subventricular zone of aged mice. Aging Cell 2, 175-183. (doi:10.1046/j.1474-9728.2003.00046.x)
12. Chazal, G., Durbec, P., Jankovski, A., Rougon, G. &Cremer, H. 2000 Consequences of neural cell adhesion molecule deficiency on cell migration in the rostral migratory stream of the mouse. J. Neurosci. 20, 1446-1457.
13. Zhao, C., Deng, W. & Gage, F. 2008 Mechanisms and functional implications of adult neurogenesis. Cell 132, 645-660. (doi:10.1016/j.cell.2008. 01.033)
14. Jankovski, A., Garcia, C., Soriano, E. & Sotelo, C. 1998 Proliferation, migration and differentiation of neuronal progenitor cells in the adult mouse subventricular zone surgically separated from its olfactory bulb. Eur. J. Neurosci. 10, 3853-3868. (doi:10.1046/j.1460-9568.1998.00397.x)
15. Liu, G. & Rao, Y. 2003 Neuronal migration from the forebrain to the olfactory bulb requires a new attractant persistent in the olfactory bulb. J. Neurosci. 23, 6651-6659.
16. Setty, Y., Chen, C.-C., Secrier, M., Skoblov, N., Kalamatianos, D. & Emmott, S. 2011 How neurons migrate: a dynamic in-silico model of neuronal migration in the developing cortex. BMC Syst. Biol. 5, 154. (doi:10.1186/1752- 0509-5-154)
17. Cecchi, G. A., Petreanu, L. T., Alvarez-Buylla, A. &Magnasco, M. O. 2001 Unsupervised learning and adaptation in a model of adult neurogenesis. J. Comput. Neurosci. 11, 175-182. (doi:10.1023/A:1012849801892)
18. Aimone, J. B. & Gageref, F. H. 2011 Modeling new neuron function: a history of using computational neuroscience to study adult neurogenesis. Eur. J. Neurosci. 33, 1160-1169. (doi:10.1111/j.1460-9568.2011.07615.x)
19. Becker, S. 2005 A computational principle for hippocampal learning and neurogenesis. Hippocampus 15, 722-738. (doi:10.1002/hipo.20095)
20. Becker, S. & Wojtowicz, J. M. 2007 A model of hippocampal neurogenesis in memory and mood disorders. Trends Cogn. Sci. 11, 70-76. (doi:10.1016/j.tics.2006.10.013)
21. Becker, S., Macqueen, G. & Wojtowicz, J. M. 2009 Computational modeling and empirical studies of hippocampal neurogenesis-dependent memory: effects of interference, stress and depression. Brain Res. 1299, 45-54. (doi:10.1016/j.brainres.2009.07.095)
22. Weisz, V. I. & Argibay, P. F. 2009 A putative role for neurogenesis in neurocomputational terms: inferences from a hippocampal model. Cognition 112, 229-240. (doi:10. 1016/j.cognition.2009.05.001)
23. Aimone, J. B., Wiles, J. & Gage, F. H. 2009 Computational influence of adult neurogenesis on memory encoding. Neuron 61, 187-202. (doi:10.1016/j.neuron.2008.11.026)
24. Luzzati, F., Peretto, P., Aimar, P., Ponti, G., Fasolo, A. &Bonfanti, L. 2003 Glia-independent chains of neuroblasts through the subcortical parenchyma of the adult rabbit brain. Proc. Natl Acad. Sci. USA 100, 13 036-13 041. (doi:10.1073/pnas.7135482100)
25. Baker, R. E., Yates, C. A. & Erban, R. 2010 From microscopic to macroscopic descriptions of cell migration on growing domains. Bull. Math. Biol. 72, 719-762. (doi:10.1007/s11538-009-9467-x)
26. Wurmser, A., Nakashima, K., Summers, R., Toni, N., D'amour, K.,Lie,D.&Gage, F. 2004Cell fusion-independent differentiation of neural stem cells to the endothelial lineage. Nature 430, 350-356. (doi:10.1038/ nature02604)
27. Biebl, M., Cooper, C.,Winkler, J. & Kuhn, H. 2000 Analysis of neurogenesis and programmed cell death reveals a self-renewing capacity in the adult rat brain. Neurosci. Lett. 291, 17-20. (doi:10.1016/S0304-3940(00)01368-9)
28. Lledo, P. & Saghatelyan, A. 2005 Integrating new neurons into the adult olfactory bulb, joining the network, lifedeath decisions, and the effects of sensory experience. Trends Neurosci. 28, 248-254. (doi:10.1016/j.tins.2005. 03.005)
29. Gerisch, A. & Chaplain, M. 2006 Robust numerical methods for taxis-diffusion-reaction systems, applications to biomedical problems. Math. Comput. Modell. 43, 49-75. (doi:10.1016/j.mcm.2004.05.016)
30. Geris, L., Gerisch, A., Sloten, J., Weiner, R. &Oosterwyck, H. 2008 Angiogenesis in bone fracture healing, a bioregulatory model. J. Theoret. Biol. 251, 137-158. (doi:10.1016/j.jtbi.2007.11.008)
31. Weiner, R., Schmitt, B. & Podhaisky, H. 1997 ROWMAPa ROW-code with krylov techniques for large stiff ODEs* 1. Appl. Numer. Math. 25, 303-319. (doi:10.1016/S0168-9274(97)00067-6)
32. Matsumoto, M. & Nishimura, T. 1998 Mersenne twister, a 623-dimensionally equidistributed uniform pseudorandom number generator. ACM Trans. Model. Comput. Simul. 8, 3-30. (doi:10.1145/272991.272995)
33. Tsai, T., Choi, Y., Ma, W., Pomerening, J., Tang, C. & Ferrell Jr, J. F. 2008 Robust, tunable biological oscillations from interlinked positive and negative feedback loops. Science 321, 126-129. (doi:10.1126/science.1156951)
34. Gutenkunst, R., Waterfall, J., Casey, F., Brown, K., Myers, C. & Sethna, J. 2007 Universally sloppy parameter sensitivities in systems biology models. PLoS Comput. Biol. 3, 1871-1878.
35. Dahl, I. 2010 Obtuse-angle shadowing networks and distance-based interpolation, from the Wolfram demonstrations project, contributed by Ingolf Dahl; and the mathematica add-on package "obtuse" by Ingolf Dahl, downloaded from: http//www.familydahl.se/mathematica/, in July 2010.
36. Voglis, C., Hadjidoukas, P., Lagaris, I. & Papageorgiou, D. 2009 A numerical differentiation library exploiting parallel architectures. Comput. Phys. Commun. 180, 1404-1415. (doi:10.1016/j.cpc.2009.02.004)
37. Geraerts, M., Eggermont, K., Hernandez-Acosta, P., Garcia-Verdugo, J. M., Baekelandt, V. & Debyser, Z. 2006 Lentiviral vectors mediate efficient and stable gene transfer in adult neural stem cells in vivo. Hum. Gene Therapy 17, 635-650. (doi:10.1089/hum.2006.17.635)
38. Murase, S. & Horwitz, A. 2002 Deleted in colorectal carcinoma and differentially expressed integrins mediate the directional migration of neural precursors in the rostral migratory stream. J. Neurosci. 22, 3568-3579.
39. Katakowski, M. et al. 2003 Phosphoinositide 3-kinase promotes adult subventricular neuroblast migration after stroke. J. Neurosci. Res. 74, 494-501. (doi:10.1002/jnr.10775)
40. Bolteus, A., Garganta, C. & Bordey, A. 2005 Assays for measuring extracellular GABA levels and cell migration rate in acute slices. Brain Res. Protoc. 14, 126-134. (doi:10.1016/j.brainresprot.2004.12.005)
41. Gutenkunst, R., Casey, F., Waterfall, J., Myers, C. &Sethna, J. 2007 Extracting falsifiable predictions from sloppy models. Ann. NY Acad. Sci. 1115, 203-211. (doi:10.1196/annals.1407.003)
42. Daniels, B., Chen, Y., Sethna, J., Gutenkunst, R. & Myers, C. 2008 Sloppiness, robustness, and evolvability in systems biology. Curr. Opin. Biotechnol. 19, 389-395. (doi:10.1016/j.copbio.2008.06.008)