Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Network Modeling Analysis in Health Informatics and Bioinformatics
Erschienen in: Network Modeling Analysis in Health Informatics and Bioinformatics 1/2020

01.12.2020 | Original Article

3D mathematical modeling of calcium signaling in Alzheimer’s disease

verfasst von: Devanshi D. Dave, Brajesh Kumar Jha

Erschienen in: Network Modeling Analysis in Health Informatics and Bioinformatics | Ausgabe 1/2020

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The present paper focuses on the solution of the three-dimensional calcium advection–diffusion equation in the presence of calcium-binding buffers. As buffers play an important role in maintaining cytosolic calcium concentration level, decrease in buffers leads to increase in cytoplasmic calcium which may further lead to toxicity of Alzheimer’s disease. The governing three-dimensional differential equation has been further converted into one-dimensional equation using similarity transforms. The solution is obtained analytically using Laplace transforms and suitable boundary conditions. The obtained solution is simulated in MATLAB. The graphs clearly show the impact of buffers on calcium concentration level for normal and Alzheimeric cells.
Nächster Artikel Deciphering the function of unknown Leishmania donovani cytosolic proteins using hyperparameter-tuned random forest

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Jetzt informieren
Literatur
Augustine GJ, Santamaria F, Tanaka K (2003) Local calcium signaling in neurons. Neuron 40:331–346CrossRef
Bezprozvanny I (2011) Calcium signaling and neurodegenerative diseases. Trends Mol Med 15:89–100CrossRef
Brzyska M, Elbaum D (2003) Dysregulation of calcium in Alzheimer’s disease. Acta Neurobiol Exp 63:171–183
Carafoli E, Brini M (eds) (2007) Calcium signalling and disease. Springer, New York
Coe H, Michalak M (2009) Calcium binding chaperones of the endoplasmic reticulum. Gen Physiol Biophys 28:96–103
Crank J (1975) The mathematics of diffusion, Second edn. Clarendon Press, OxfordMATH
Dave DD, Jha BK (2018a) Analytically depicting the calcium diffusion for Alzheimer’s affected cell. Int J Biomath 11(6):1850088–1850101MathSciNetCrossRef
Dave DD, Jha BK (2018b) Delineation of calcium diffusion in alzheimeric brain. J Mech Med Biol 18(2):1–15
Demuro A, Parker I, Stutzmann GE (2010) Calcium signaling and amyloid toxicity in Alzheimer’s disease. J Biol Chem 6:1–1
Fall C et al (2002) Computational cell biology. Springer, New YorkMATH
Jha A, Adlakha N (2015) Two-dimensional finite element model to study unsteady state \(Ca^{2+}\) diffusion in neuron involving ER. LEAK and SERCA. Int J Biomath 8(1):1–14CrossRef
Jha BK, Adlakha N, Mehta MN (2012) Analytic solution of two dimensional advection diffusion equation arising in cytosolic calcium concentration distribution. Int Math Forum 7(3):135–144MathSciNetMATH
Jha BK, Adlakha N, Mehta MN (2014) Two-dimensional finite element model to study calcium distribution in astrocytes in presence of excess buffer. Int J Biomath 7(3):1–11MathSciNetCrossRef
Jha A, Adlakha N, Jha BK (2015) Finite element model to study effect of \(Na^{+}-Ca^{2+}\) exchangers and source geometry on calcium dynamics in a neuron cell. J Mech Med Biol 16(2):1–22
Keener J, Sneyd J (2009) Mathematical physiology second. Springer, New YorkCrossRef
Khachaturian ZS (1993) Calcium hypothesis of Alzheimer’s disease and brain aging. Ann N Y Acad Sci 1–11
Kotwani M, Adlakha N, Mehta MN (2014) Finite element model to study the effect of buffers. Source amplitude and source geometry on spatio-temporal calcium distribution in fibroblast cell. J Med Imaging Health Inf 4(6):840–847CrossRef
Laferla FM (2002) Calcium dyshomeostasis and intracellular signalling in Alzheimer’s disease. Nat Rev Neurosci 3:862–872CrossRef
Magi S et al (2016) Intracellular calcium dysregulation: implications for Alzheimer’s disease. Biomed Res Int 2016:1–14CrossRef
Makrariya A, Adlakha N (2013) Two-dimensional finite element model of temperature distribution in dermal tissues of extended spherical organs of a human body. Int J Biomath 6(1):1250065-01–1250065-15MathSciNetCrossRef
Makrariya A, Adlakha N (2015) Two-dimensional finite element model to study temperature distribution in peripheral regions of extended spherical human organs involving uniformly perfused tumors. Int J Biomath 8(6):1550074-01–1550074-30MathSciNetCrossRef
Mattson MP et al (2000) Calcium signaling in the ER: its role in neuronal plasticity and neurodegenerative disorders. Trends Neurosci 23(5):222–229CrossRef
Morris G et al (2018) Could Alzheimer’s disease originate in the periphery and if so how so? Mol Neurobiol
Naik PA, Pardasani KR (2018a) Three-dimensional finite element model to study effect of RyR calcium channel. ER leak and SERCA pump on calcium distribution in oocyte cell. Int J Comput Methods 15(3):1–19MATH
Pathak K, Adlakha N (2015a) Finite element model to study calcium signalling in cardiac myocytes involving pump. Leak and excess buffer. J Med Imaging Health Inf 5:1–6CrossRef
Rajagopal S, Ponnusamy M (2017) Calcium signaling: from physiology to diseases. Springer, SingaporeCrossRef
Schmidt H (2012) Three functional facets of calbindin D-28k. Front Mol Neurosci 5:1–7CrossRef
Schwaller B (2010) Cytosolic \(Ca^{2+}\) Buffers. Cold Spring Harbor Perspect Biol 1–20
Small DH (2009) Dysregulation of calcium homeostasis in Alzheimer’s disease. Neurochem Res 34:1824–1829CrossRef
Smith GD (1996) Analytical steady-state solution to the rapid buffering approximation near an open \(Ca^{2+}\) channel. Biophys J 71:3064–3072CrossRef
Squire L et al (2008) Fundamental neuroscience, Third edn. Elsevier, Amsterdam
Supnet C, Bezprozvanny I (2010) Neuronal calcium signaling, mitochondrial dysfunction and Alzheimer’s disease. J Alzheimers Dis 20(2):S487–S498CrossRef
Tewari SG, Pardasani KR (2011) Finite element model to study two dimensional unsteady state cytosolic calcium diffusion. J Appl Math Inf 29:427–442MathSciNetMATH
Turkington C, Mitchell D (2010) The encyclopedia of Alzheimer’s disease second. Facts on file: an imprint. Infobase Publishing, New York
Verkhratsky A et al (2010) Astrocytes in Alzheimer’s Disease. Neurotherap J Am Soc Exp Neurotherap 7:399–412CrossRef
Wang Y, Shi Y, Wei H (2017) Calcium dysregulation in Alzheimer’s disease: a target for new drug development. J Alzheimer’s Dis Parkinsinism 7(5):
Yadav RR et al (2012) Three-dimensional temporally dependent dispersion through porous media: analytical solution. Environ Earth Sci 65:849–859CrossRef
Yagami T, Kohma H, Yamamoto Y (2012) L-type voltage-dependent calcium channels as therapeutic targets for neuro- degenerative diseases. Curr Med Chem 1:4816–4827CrossRef
Metadaten
Titel
3D mathematical modeling of calcium signaling in Alzheimer’s disease
verfasst von
Devanshi D. Dave
Brajesh Kumar Jha
Publikationsdatum
01.12.2020
Verlag
Springer Vienna
Erschienen in
Network Modeling Analysis in Health Informatics and Bioinformatics / Ausgabe 1/2020
Print ISSN: 2192-6662
Elektronische ISSN: 2192-6670
DOI
https://doi.org/10.1007/s13721-019-0207-3

Weitere Artikel der Ausgabe 1/2020

Network Modeling Analysis in Health Informatics and Bioinformatics 1/2020 Zur Ausgabe

Original Article

Deciphering the function of unknown Leishmania donovani cytosolic proteins using hyperparameter-tuned random forest

Original Article

Comparative analysis of ROS-scavenging gene families in finger millet, rice, sorghum, and foxtail millet revealed potential targets for antioxidant activity and drought tolerance improvement

Original Article

Structure-based virtual screening, molecular docking and dynamics studies of natural product and classical inhibitors against human dihydrofolate reductase

Original Article

A regression-based model for predicting the best mode of treatment for Egyptian liver cancer patients

Retraction Note

Retraction Note to: Regional patterning of co-expressed genes in autistic brains

Original Article

A novel approach to identify subtype-specific network biomarkers of breast cancer survivability

Premium Partner

    Bildnachweise