Abstract
Lesions in central nervous system (CNS) and their growth leads to debilitating diseases like Multiple Sclerosis (MS), Alzheimer’s etc. We developed a model earlier [1, 2] which shows how the lesion growth can be arrested through a beneficial auto-immune mechanism. We compared some of the dynamical patterns in the model with different facets of MS. The success of the approach depends on a set of control parameters and their phase space was shown to have a smooth manifold separating the uncontrolled lesion growth region from the controlled. Here we show that an optimal set of parameter values exist in the model which minimizes system damage while, at once, achieving control of lesion growth.
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References
T.R.K. Mohan, S. Sen, M. Ramanathan, Int. J. Mod. Phys. E 17, 930 (2008)
K.M.T. Raman, Comput. Math. Meth. Medicine 2012, 383546 (2012)
D.S. Marcus, J. Harwell, T. Olsen, M. Hodge, M.F. Glasser, F. Prior, M. Jenkinson, T. Laumann, S.W. Curtiss, D.C. Van Essen, Front Neuroinform 5, 4 (2011)
D.C. Van Essen, et al., Neuroimage 62, 2222 (2012)
L. Bø, C.A. Vedeler, H.I. Nyland, B.D. Trapp, S.J. Mørk, J. Neuropath. Exper. Neurol. 62, 723 (2003)
B.D. Trapp, K.A. Nave, Annu. Rev. Neurosci. 31, 247 (2008)
M.M.P. Soldan, M. Rodriguez, J. Infectious Diseases 186, S248 (2002)
H. Lassmann, G. Niedobitek, F. Aloisi, J.M. Middeldorp, S. Amor, J. Bennett, J. Bauer, M. Bradl, W. Bruck, E. Coccia, S. Gattenlohner, R. Hoftberger, A. Junker, G. Khan, U. Meier, K. O’Connor, G. Owens, R. Reynolds, B. Serafini, C. Stadelmann, J. Tzartos, Q. Mary, P. Van der Valk, Epstein-Barr virus in the multiple sclerosis brain: a controversial issue–report on a focused workshop held in the Centre for Brain Research of the Medical University of Vienna, Austria, Brain 134, 2772 (2011)
F.M. Burnet, F. Fenner, The production of antibodies, 2nd edn. (MacMillan, Melbourne, VIC, Australia, 1949)
G.J.V. Nossal, Antibodies and Immunity, 2nd edition (Basic Books, New York, NY, USA, 1978)
O.A. Smirnova, N.V. Stepanova, Biofizika 20, 1095 (1975)
P. Matzinger, Ann. Rev. Immunol. 12, 991 (1994)
P. Matzinger, Ann. N. Y. Acad. Sci. 961, 341 (2002)
U. Nevo, J. Kipnis, I. Golding, I. Shaked, A. Neumann, S. Akselrod, M. Schwartz, Trends Mol. Med. 9, 88 (2003)
U. Nevo, I. Golding, A.U. Neumann, M. Schwartz, S. Akselrod, J. Theor. Biol. 227, 583 (2004)
G. Moalem, R. Leibowitz-Amit, E. Yoles, F. Mor, I.R. Cohen, M. Schwartz, Nat. Med. 5, 49 (1999)
M. Schwartz, Y. Ziv, Trends Immunol. 29, 211 (2008)
C. Stadelmann, S. Ludwin, T. Tabira, A. Guseo, C.F. Lucchinetti, L. Leel-Ossy, A.T. Ordinario, W. Bruck, H. Lassmann, Brain 128, 979 (2005)
G. Zamora-Lopez, C. Zhou, J. Kurths, Nat. Rev. Neuroscience 5, 83 (2011)
C.J. Honey, R. Kötter, M. Breakspear, O. Sporns, Proc. National Acad. Sci. 104, 10240 (2007)
M.E. Newman, Phys. Rev. Lett. 89, 208701 (2002)
B.C. Van Wijk, C.J. Stam, A. Daffertshofer, PLoS ONE 5, e13701 (2010)
M. Kaiser, C.C. Hilgetag, PloS Comput. Biol. 2, e95 (2006)
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Mathankumar, R., Mohan, T.R.K. Autoimmune control of lesion growth in CNS with minimal damage. Eur. Phys. J. Spec. Top. 222, 769–776 (2013). https://doi.org/10.1140/epjst/e2013-01880-5
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DOI: https://doi.org/10.1140/epjst/e2013-01880-5