Abstract
Parkinson’s disease (PD) is a complicated neurodegenerative condition marked by the gradual degradation of dopaminergic neurons in the substantia nigra, which causes motor and non-motor symptoms. Understanding the dynamics of Parkinson’s disease progression and evaluating treatment techniques necessitates a complete assessment of the nonlocal character of the bioneurological mechanisms involved. This research explores a novel approach to model PD progression by integrating nonlocality into analysing bioneurological processes. Nonlocality in this context refers to the interdependence of the disease progression as the long-term memory. In addition, we have investigated the impact of the two therapeutic interventions on the dynamics of PD, the reduction of extracellular \(\alpha \)-synuclein and controlling the activated microglia. Our findings suggest that the memory effect delays the onset of Parkinson’s disease.
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References
Poewe, W., et al.: Parkinson disease. Nat. Rev. Dis. Primers. 3, 17013 (2017)
DeMaagd, G., Philip, A.: Parkinson’s disease and its management: part 1: disease entity, risk factors, pathophysiology, clinical presentation, and diagnosis. Pharm. Ther. 40(8), 504–532 (2015)
Yen, C., Lin, C.-L., Chiang, M.C.: Exploring the frontiers of neuroimaging: a review of recent advances in understanding brain functioning and disorders. Life 13, 1472 (2023)
Gómez-Benito, M., et al.: Modeling Parkinson’s disease with the alpha-synuclein protein. Front. Pharmacol. 11, 356 (2020)
Bendor, J.T., Logan, T.P., Edwards, R.H.: The function of \(\alpha \)-synuclein. Neuron 79(6), 1044–1066 (2013)
Colonna, M., Butovsky, O.: Microglia function in the central nervous system during health and neurodegeneration. Annu. Rev. Immunol. 35(1), 441–468 (2017)
Xu, Y., et al.: Microglia in neurodegenerative diseases. Neural Regen. Res. 16(2), 270–280 (2021)
Nayak, D., Roth, T.L., McGavern, D.B.: Microglia development and function. Annu. Rev. Immunol. 32, 367–402 (2014)
Badanjak, K., et al.: The contribution of microglia to neuroinflammation in Parkinson’s disease. Int. J. Mol. Sci. 22(9), 4676 (2021)
Cai, Y., et al.: Microglia in the neuroinflammatory pathogenesis of Alzheimer’s disease and related therapeutic targets. Front. Immunol. 13, 856376 (2022)
Ramesh, S., Arachchige, A.S.P.M.: Depletion of dopamine in Parkinson’s disease and relevant therapeutic options: a review of the literature. AIMS Neurosci. 10(3), 200–231 (2023)
Lull, M.E., Block, M.L.: Microglial activation and chronic neurodegeneration. Neurotherapeutics 7(4), 354–365 (2010)
Wang, Q., Liu, Y., Zhou, J.: Neuroinflammation in Parkinson’s disease and its potential as therapeutic target. Transl. Neurodegener. 4(1), 1–9 (2015). https://doi.org/10.1186/s40035-015-0042-0
Thieu, T.K.T., Melnik, R.: Coupled effects of channels and synaptic dynamics in stochastic modelling of healthy and Parkinson’s-disease-affected brains. AIMS Bioeng. 9(2), 213–238 (2022)
Pal, S., Melnik, R.: Nonlocal models in biology and life sciences: sources, developments, and applications. arXiv preprint arXiv:2401.14651 (2024)
Badrah, A., Al-Tuwairqi, S.: Modeling the dynamics of innate immune response to Parkinson disease with therapeutic approach. Phys. Biol. 19, 056004 (2022)
Magin, R.L., Ovadia, M.: Modeling the cardiac tissue electrode interface using fractional calculus. J. Vib. Control 14, 1431–1442 (2008)
Dokoumetzidis, A., Macheras, P.: Fractional kinetics in drug absorption and disposition processes. J. Pharmacokinet Pharmacodyn. 36, 165–178 (2009)
Petráš, I., Magin, R.L.: Simulation of drug uptake in a two compartmental fractional model for a biological system. Commun. Nonlinear Sci. Numer. Simul. 16(12), 4588–4595 (2011). https://doi.org/10.1016/j.cnsns.2011.02.012
Magin, R.L.: Fractional calculus models of complex dynamics in biological tissues. Comput. Math. Appl. 59, 1586–1593 (2010)
Tan, W., et al.: An anomalous subdiffusion model for calcium spark in cardiac myocytes. Appl. Phys. Lett. 91, 183901 (2007)
Lundstrom, B.N., et al.: Fractional differentiation by neocortical pyramidal neurons. Nat. Neurosci. 11, 1335–1342 (2008)
Haukkanen, P., Tossavainen, T.: A generalization of Descartes’ rule of signs and fundamental theorem of algebra. Appl. Math. Comput. 218, 1203–1207 (2011)
Acknowledgements
The authors are grateful to the NSERC and the CRC Program for their support. RM is also acknowledging support of the BERC 2022–2025 program and the Spanish Ministry of Science, Innovation and Universities through the Agencia Estatal de Investigacion (AEI) BCAM Severo Ochoa excellence accreditation SEV-2017-0718 and the Basque Government fund AI in BCAM EXP. 2019/00432. This research was partly enabled by support provided by SHARCNET (www.sharcnet.ca) and the Digital Research Alliance of Canada (www.alliancecan.ca).
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Pal, S., Melnik, R. (2024). Parkinson’s Disease Progression and Treatment Dynamics Accounting for Nonlocality of Bioneurological Processes. In: Rojas, I., Ortuño, F., Rojas, F., Herrera, L.J., Valenzuela, O. (eds) Bioinformatics and Biomedical Engineering. IWBBIO 2024. Lecture Notes in Computer Science(), vol 14849. Springer, Cham. https://doi.org/10.1007/978-3-031-64636-2_4
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DOI: https://doi.org/10.1007/978-3-031-64636-2_4
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