Skip to main content

2020 | OriginalPaper | Buchkapitel

Effect of Source Geometry on Interdependent Calcium and Inositol 1; 4; 5-Trisphosphate Dynamics in a Cardiac Myocyte Cell

verfasst von : Nisha Singh, Neeru Adlakha

Erschienen in: Mathematical Modelling and Scientific Computing with Applications

Verlag: Springer Singapore

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

search-config
loading …

Abstract

Intracellular calcium governs the most versatile and universal signalling mechanism in living systems which includes contraction of the cardiac tissues, information processing in the brain, release of digestive enzymes by the liver etc. Various investigations have been made on study of calcium signalling in cardiac myocyte to understand its mechanisms. But most of existing investigations have mainly focused on study of calcium signalling in cardiac myocyte cell without paying attention on interdependence of calcium signalling and inositol 1; 4; 5-trisphosphate signalling. In this paper, we propose a mathematical model to understand the impact of the source geometry of calcium on these coupled signalling processes. This study suggests that the source geometry plays a vital role in these signalling processes. Also, calcium and inositol 1; 4; 5-trisphosphate shows a beautiful coordination with each other, which explains the role of inositol 1; 4; 5-trisphosphate in calcium signalling in cardiac myocyte cell. Such studies will provide the better understanding of various factors involved in calcium signalling in cardiac myocytes, which as a result will be of great use to biomedical scientists for making protocols for various heart diseases and their cure.

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!

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!

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!

Literatur
1.
Zurück zum Zitat Adkins, C.E., Taylor, C.W.: Lateral inhibition of inositol \(1, 4, 5\)-trisphosphate receptors by cytosolic \(\rm {Ca}^{2+}\). Current Biol. 9(19), 1115–1118 (1999)CrossRef Adkins, C.E., Taylor, C.W.: Lateral inhibition of inositol \(1, 4, 5\)-trisphosphate receptors by cytosolic \(\rm {Ca}^{2+}\). Current Biol. 9(19), 1115–1118 (1999)CrossRef
2.
Zurück zum Zitat Allbritton, N.L., Meyer, T., Stryer, L.: Range of messenger action of calcium ion and inositol \(1, 4, 5\)-trisphosphate. Science New York then Washington 258, 1812–1812 (1992)CrossRef Allbritton, N.L., Meyer, T., Stryer, L.: Range of messenger action of calcium ion and inositol \(1, 4, 5\)-trisphosphate. Science New York then Washington 258, 1812–1812 (1992)CrossRef
3.
Zurück zum Zitat Ciapa, B., Pesando, D., Wilding, M., Whitaker, M.: Cell-cycle calcium transients driven by cyclic changes in inositol trisphosphate levels. Nature 368(6474), 875–878 (1994)CrossRef Ciapa, B., Pesando, D., Wilding, M., Whitaker, M.: Cell-cycle calcium transients driven by cyclic changes in inositol trisphosphate levels. Nature 368(6474), 875–878 (1994)CrossRef
4.
Zurück zum Zitat De Young, G.W., Keizer, J.: A single-pool inositol \(1, 4, 5\)-trisphosphate-receptor-based model for agonist-stimulated oscillations in \(\rm {Ca}^{2+}\) concentration. Proc. Natl. Acad. Sci. 89(20), 9895–9899 (1992)CrossRef De Young, G.W., Keizer, J.: A single-pool inositol \(1, 4, 5\)-trisphosphate-receptor-based model for agonist-stimulated oscillations in \(\rm {Ca}^{2+}\) concentration. Proc. Natl. Acad. Sci. 89(20), 9895–9899 (1992)CrossRef
5.
Zurück zum Zitat Dupont, G., Goldbeter, A.: One-pool model for \(\rm {Ca}^{2+}\) oscillations involving \(\rm {Ca}^{2+}\) and inositol \(1, 4, 5\)-trisphosphate as co-agonists for \(\rm {Ca}^{2+}\) release. Cell Calcium 14(4), 311–322 (1993)CrossRef Dupont, G., Goldbeter, A.: One-pool model for \(\rm {Ca}^{2+}\) oscillations involving \(\rm {Ca}^{2+}\) and inositol \(1, 4, 5\)-trisphosphate as co-agonists for \(\rm {Ca}^{2+}\) release. Cell Calcium 14(4), 311–322 (1993)CrossRef
6.
Zurück zum Zitat Falcke, M.: Buffers and oscillations in intracellular \(\rm {Ca}^{2+}\) dynamics. Biophys. J. 84(1), 28–41 (2003)CrossRef Falcke, M.: Buffers and oscillations in intracellular \(\rm {Ca}^{2+}\) dynamics. Biophys. J. 84(1), 28–41 (2003)CrossRef
7.
Zurück zum Zitat Fink, C.C., Slepchenko, B., Moraru, I.I., Watras, J., Schaff, J.C., Loew, L.M.: An image-based model of calcium waves in differentiated neuroblastoma cells. Biophys. J. 79(1), 163–183 (2000)CrossRef Fink, C.C., Slepchenko, B., Moraru, I.I., Watras, J., Schaff, J.C., Loew, L.M.: An image-based model of calcium waves in differentiated neuroblastoma cells. Biophys. J. 79(1), 163–183 (2000)CrossRef
8.
Zurück zum Zitat Goonasekera, S.A., Hammer, K., Auger-Messier, M., Bodi, I., Chen, X., Zhang, H., Reiken, S., Elrod, J.W., Correll, R.N., York, A.J., et al.: Decreased cardiac l-type \(\rm {Ca}^{2+}\) channel activity induces hypertrophy and heart failure in mice. J. Clin. Investig. 122(1), 280 (2012) Goonasekera, S.A., Hammer, K., Auger-Messier, M., Bodi, I., Chen, X., Zhang, H., Reiken, S., Elrod, J.W., Correll, R.N., York, A.J., et al.: Decreased cardiac l-type \(\rm {Ca}^{2+}\) channel activity induces hypertrophy and heart failure in mice. J. Clin. Investig. 122(1), 280 (2012)
9.
Zurück zum Zitat Jha, A., Adlakha, N.: Finite element model to study the effect of exogenous buffer on calcium dynamics in dendritic spines. Int. J. Model., Simul., Sci. Comput. 5(02), 1350027 (2014)CrossRef Jha, A., Adlakha, N.: Finite element model to study the effect of exogenous buffer on calcium dynamics in dendritic spines. Int. J. Model., Simul., Sci. Comput. 5(02), 1350027 (2014)CrossRef
10.
Zurück zum Zitat Jha, B.K., Adlakha, N., Mehta, M.: Two-dimensional finite element model to study calcium distribution in astrocytes in presence of excess buffer. Int. J. Biomath. 7(03), 1450031 (2014)MathSciNetCrossRef Jha, B.K., Adlakha, N., Mehta, M.: Two-dimensional finite element model to study calcium distribution in astrocytes in presence of excess buffer. Int. J. Biomath. 7(03), 1450031 (2014)MathSciNetCrossRef
11.
Zurück zum Zitat Klipp, E., Liebermeister, W.: Mathematical modeling of intracellular signaling pathways. BMC Neurosci. 7(1), S10 (2006) Klipp, E., Liebermeister, W.: Mathematical modeling of intracellular signaling pathways. BMC Neurosci. 7(1), S10 (2006)
12.
Zurück zum Zitat Kotwani, M., Adlakha, N., Mehta, M.: Numerical model to study calcium diffusion in fibroblasts cell for one dimensional unsteady state case. Appl. Math. Sci. 6(102), 5063–5072 (2012)MATH Kotwani, M., Adlakha, N., Mehta, M.: Numerical model to study calcium diffusion in fibroblasts cell for one dimensional unsteady state case. Appl. Math. Sci. 6(102), 5063–5072 (2012)MATH
13.
Zurück zum Zitat Kotwani, M., Adlakha, N., Mehta, M.: 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 Inform. 4(6), 840–847 (2014)CrossRef Kotwani, M., Adlakha, N., Mehta, M.: 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 Inform. 4(6), 840–847 (2014)CrossRef
14.
Zurück zum Zitat Luo, C.h., Rudy, Y.: A dynamic model of the cardiac ventricular action potential. i. Simulations of ionic currents and concentration changes. Circ. Res. 74(6), 1071–1096 (1994)CrossRef Luo, C.h., Rudy, Y.: A dynamic model of the cardiac ventricular action potential. i. Simulations of ionic currents and concentration changes. Circ. Res. 74(6), 1071–1096 (1994)CrossRef
15.
Zurück zum Zitat Luo, C.h., Rudy, Y.: A dynamic model of the cardiac ventricular action potential. ii. After depolarizations, triggered activity, and potentiation. Circ. Res. 74(6), 1097–1113 (1994)CrossRef Luo, C.h., Rudy, Y.: A dynamic model of the cardiac ventricular action potential. ii. After depolarizations, triggered activity, and potentiation. Circ. Res. 74(6), 1097–1113 (1994)CrossRef
16.
Zurück zum Zitat Manhas, N., Pardasani, K.: Modelling mechanism of calcium oscillations in pancreatic acinar cells. J. Bioenerg. Biomembr. 46(5), 403–420 (2014)CrossRef Manhas, N., Pardasani, K.: Modelling mechanism of calcium oscillations in pancreatic acinar cells. J. Bioenerg. Biomembr. 46(5), 403–420 (2014)CrossRef
17.
Zurück zum Zitat Manhas, N., Sneyd, J., Pardasani, K.: Modelling the transition from simple to complex \(\rm {Ca}^{2+}\) oscillations in pancreatic acinar cells. J. Biosci. 39(3), 463–484 (2014)CrossRef Manhas, N., Sneyd, J., Pardasani, K.: Modelling the transition from simple to complex \(\rm {Ca}^{2+}\) oscillations in pancreatic acinar cells. J. Biosci. 39(3), 463–484 (2014)CrossRef
18.
Zurück zum Zitat Michailova, A., DelPrincipe, F., Egger, M., Niggli, E.: Spatiotemporal features of \(\rm {Ca}^{2+}\) buffering and diffusion in atrial cardiac myocytes with inhibited sarcoplasmic reticulum. Biophys. J. 83(6), 3134–3151 (2002)CrossRef Michailova, A., DelPrincipe, F., Egger, M., Niggli, E.: Spatiotemporal features of \(\rm {Ca}^{2+}\) buffering and diffusion in atrial cardiac myocytes with inhibited sarcoplasmic reticulum. Biophys. J. 83(6), 3134–3151 (2002)CrossRef
19.
Zurück zum Zitat Naik, P.A., Pardasani, K.R.: One dimensional finite element model to study calcium distribution in oocytes in presence of VGCC, RyR and buffers. J. Med. Imaging Health Inform. 5(3), 471–476 (2015)CrossRef Naik, P.A., Pardasani, K.R.: One dimensional finite element model to study calcium distribution in oocytes in presence of VGCC, RyR and buffers. J. Med. Imaging Health Inform. 5(3), 471–476 (2015)CrossRef
20.
Zurück zum Zitat Naik, P.A., Pardasani, K.R.: Finite element model to study calcium distribution in oocytes involving voltage gated \(\rm {Ca}^{2+}\) channel, ryanodine receptor and buffers. Alex. J. Med. 52(1), 43–49 (2016)CrossRef Naik, P.A., Pardasani, K.R.: Finite element model to study calcium distribution in oocytes involving voltage gated \(\rm {Ca}^{2+}\) channel, ryanodine receptor and buffers. Alex. J. Med. 52(1), 43–49 (2016)CrossRef
21.
Zurück zum Zitat Nivala, M., de Lange, E., Rovetti, R., Qu, Z.: Computational modeling and numerical methods for spatiotemporal calcium cycling in ventricular myocytes. Front. Physiol. 3, 114 (2012) Nivala, M., de Lange, E., Rovetti, R., Qu, Z.: Computational modeling and numerical methods for spatiotemporal calcium cycling in ventricular myocytes. Front. Physiol. 3, 114 (2012)
22.
Zurück zum Zitat Panday, S., Pardasani, K.R.: Finite element model to study effect of advection diffusion and \(\rm {Na}^+/\rm {Ca}^{2+}\) exchanger on \(\rm {Ca}^{2+}\) distribution in oocytes. J. Med. Imaging Health Inform. 3(3), 374–379 (2013)CrossRef Panday, S., Pardasani, K.R.: Finite element model to study effect of advection diffusion and \(\rm {Na}^+/\rm {Ca}^{2+}\) exchanger on \(\rm {Ca}^{2+}\) distribution in oocytes. J. Med. Imaging Health Inform. 3(3), 374–379 (2013)CrossRef
23.
Zurück zum Zitat Pathak, K., Adlakha, N.: Finite element model to study two dimensional unsteady state calcium distribution in cardiac myocytes. Alex. J. Med. 52(3), 261–268 (2016)CrossRef Pathak, K., Adlakha, N.: Finite element model to study two dimensional unsteady state calcium distribution in cardiac myocytes. Alex. J. Med. 52(3), 261–268 (2016)CrossRef
24.
Zurück zum Zitat Pathak, K.B., Adlakha, N.: Finite element model to study calcium signalling in cardiac myocytes involving pump, leak and excess buffer. J. Med. Imaging Health Inform. 5(4), 683–688 (2015)CrossRef Pathak, K.B., Adlakha, N.: Finite element model to study calcium signalling in cardiac myocytes involving pump, leak and excess buffer. J. Med. Imaging Health Inform. 5(4), 683–688 (2015)CrossRef
25.
Zurück zum Zitat Pathak, K.B., Adlakha, N.: Finite element model to study one dimensional calcium dynamics in cardiac myocytes. J. Multiscale Model. 6(02), 1550003 (2015)MathSciNetCrossRef Pathak, K.B., Adlakha, N.: Finite element model to study one dimensional calcium dynamics in cardiac myocytes. J. Multiscale Model. 6(02), 1550003 (2015)MathSciNetCrossRef
26.
Zurück zum Zitat Shannon, T.R., Wang, F., Puglisi, J., Weber, C., Bers, D.M.: A mathematical treatment of integrated ca dynamics within the ventricular myocyte. Biophys. J. 87(5), 3351–3371 (2004)CrossRef Shannon, T.R., Wang, F., Puglisi, J., Weber, C., Bers, D.M.: A mathematical treatment of integrated ca dynamics within the ventricular myocyte. Biophys. J. 87(5), 3351–3371 (2004)CrossRef
27.
Zurück zum Zitat Smith, G.D., Keizer, J.E., Stern, M.D., Lederer, W.J., Cheng, H.: A simple numerical model of calcium spark formation and detection in cardiac myocytes. Biophys. J. 75(1), 15–32 (1998)CrossRef Smith, G.D., Keizer, J.E., Stern, M.D., Lederer, W.J., Cheng, H.: A simple numerical model of calcium spark formation and detection in cardiac myocytes. Biophys. J. 75(1), 15–32 (1998)CrossRef
28.
Zurück zum Zitat Sneyd, J., Sherratt, J.: On the propagation of calcium waves in an inhomogeneous medium. SIAM J. Appl. Math. 57(1), 73–94 (1997)MathSciNetCrossRef Sneyd, J., Sherratt, J.: On the propagation of calcium waves in an inhomogeneous medium. SIAM J. Appl. Math. 57(1), 73–94 (1997)MathSciNetCrossRef
29.
Zurück zum Zitat Stewart, B.D., Scott, C.E., McCoy, T.P., Yin, G., Despa, F., Despa, S., Kekenes-Huskey, P.M.: Computational modeling of amylin-induced calcium dysregulation in rat ventricular cardiomyocytes. Cell Calcium 71, 65–74 (2018)CrossRef Stewart, B.D., Scott, C.E., McCoy, T.P., Yin, G., Despa, F., Despa, S., Kekenes-Huskey, P.M.: Computational modeling of amylin-induced calcium dysregulation in rat ventricular cardiomyocytes. Cell Calcium 71, 65–74 (2018)CrossRef
30.
Zurück zum Zitat Swaminathan, D.: Mathematical modeling of intracellular calcium signaling: a study of \(IP_3\) receptor models. Ohio University (2010) Swaminathan, D.: Mathematical modeling of intracellular calcium signaling: a study of \(IP_3\) receptor models. Ohio University (2010)
31.
Zurück zum Zitat Tewari, S., Pardasani, K.: Finite difference model to study the effects of \(\rm {Na}^+\) influx on cytosolic \(\rm {Ca}^{2+}\) diffusion. World Acad. Sci. Eng. Technol. 15, 670–675 (2008) Tewari, S., Pardasani, K.: Finite difference model to study the effects of \(\rm {Na}^+\) influx on cytosolic \(\rm {Ca}^{2+}\) diffusion. World Acad. Sci. Eng. Technol. 15, 670–675 (2008)
32.
Zurück zum Zitat Tripathi, A., Adlakha, N.: Finite volume model to study calcium diffusion in neuron cell under excess buffer approximation. Int. J. Math. Sci. Engg. Appl. (IJMSEA) 5, 437–447 (2011) Tripathi, A., Adlakha, N.: Finite volume model to study calcium diffusion in neuron cell under excess buffer approximation. Int. J. Math. Sci. Engg. Appl. (IJMSEA) 5, 437–447 (2011)
33.
Zurück zum Zitat Wagner, J., Fall, C.P., Hong, F., Sims, C.E., Allbritton, N.L., Fontanilla, R.A., Moraru, I.I., Loew, L.M., Nuccitelli, R.: A wave of \(ip_3\) production accompanies the fertilization \(\rm {Ca}^{2+}\) wave in the egg of the frog, xenopus laevis: theoretical and experimental support. Cell Calcium 35(5), 433–447 (2004)CrossRef Wagner, J., Fall, C.P., Hong, F., Sims, C.E., Allbritton, N.L., Fontanilla, R.A., Moraru, I.I., Loew, L.M., Nuccitelli, R.: A wave of \(ip_3\) production accompanies the fertilization \(\rm {Ca}^{2+}\) wave in the egg of the frog, xenopus laevis: theoretical and experimental support. Cell Calcium 35(5), 433–447 (2004)CrossRef
34.
Zurück zum Zitat Watras, J., Ehrlich, B.E., et al.: Bell-shaped calcium-response curves of \(ins (l, 4, 5) p_3\)-and calcium-gated channels from endoplasmic reticulum of cerebellum. Nature 351(6329), 751–754 (1991)CrossRef Watras, J., Ehrlich, B.E., et al.: Bell-shaped calcium-response curves of \(ins (l, 4, 5) p_3\)-and calcium-gated channels from endoplasmic reticulum of cerebellum. Nature 351(6329), 751–754 (1991)CrossRef
Metadaten
Titel
Effect of Source Geometry on Interdependent Calcium and Inositol 1; 4; 5-Trisphosphate Dynamics in a Cardiac Myocyte Cell
verfasst von
Nisha Singh
Neeru Adlakha
Copyright-Jahr
2020
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-1338-1_6

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.