Skip to main content
Top
Published in: Network Modeling Analysis in Health Informatics and Bioinformatics 1/2017

01-12-2017 | Original Article

Three-dimensional finite element model to study calcium distribution in oocytes

Authors: Parvaiz Ahmad Naik, Kamal Raj Pardasani

Published in: Network Modeling Analysis in Health Informatics and Bioinformatics | Issue 1/2017

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Calcium is the most universal second messenger in cells and plays an important role in initiation, sustenance and termination of various activities in cells required for maintaining the structure and function of the cell. Calcium signal at fertilization is necessary for egg activation and exhibits specialized spatial and temporal dynamics. The specific calcium concentration distribution patterns in oocytes required for various activities such as egg fertilization and maturation are not well understood. In this paper, a three-dimensional finite element model is proposed to study the spatio-temporal calcium distribution in oocyte. The parameters such as buffers, SERCA pump, RyR calcium channel, point source and line source of calcium are incorporated in the model. The appropriate initial and boundary conditions have been framed on the basis of physical condition of the problem. A program is developed in MATLAB for simulation. The results have been used to study the effect of source geometry, RyR calcium channel, SERCA pump and buffers on cytosolic calcium concentration distribution in oocyte.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Literature
go back to reference Agrawal M, Adlakha N, Pardasani KR (2010) Three dimensional finite element model to study heat flow in dermal regions of elliptical and tapered shape human limbs. Appl Math Comput 217:4129–4140MathSciNetMATH Agrawal M, Adlakha N, Pardasani KR (2010) Three dimensional finite element model to study heat flow in dermal regions of elliptical and tapered shape human limbs. Appl Math Comput 217:4129–4140MathSciNetMATH
go back to reference Ajduk A, Maagocki A, Maleszewski M (2008) Cytoplasmic maturation of mammalian oocytes: development of a mechanism responsible for sperm-induced Ca2+ oscillations. Reprod Biol 8(1):3–22CrossRef Ajduk A, Maagocki A, Maleszewski M (2008) Cytoplasmic maturation of mammalian oocytes: development of a mechanism responsible for sperm-induced Ca2+ oscillations. Reprod Biol 8(1):3–22CrossRef
go back to reference Baran I (2006) The slow kinetics of elementary calcium events in Xenopus oocytes. Rom J Biophys 16:9–19 Baran I (2006) The slow kinetics of elementary calcium events in Xenopus oocytes. Rom J Biophys 16:9–19
go back to reference Berridge MJ, Bootman MD, Lipp P (1998) Calcium-a life and death signal. Nature 395:645–648CrossRef Berridge MJ, Bootman MD, Lipp P (1998) Calcium-a life and death signal. Nature 395:645–648CrossRef
go back to reference Berridge MJ, Lipp P, Bootman MD (2000) The versatility and universality of calcium signalling. Nat Rev Mol Cell Biol 1:11–21CrossRef Berridge MJ, Lipp P, Bootman MD (2000) The versatility and universality of calcium signalling. Nat Rev Mol Cell Biol 1:11–21CrossRef
go back to reference Berridge MJ, Bootman MD, Roderick HL (2003) Calcium signalling: dynamics, homeostasis and remodelling. Nat Rev Mol Cell Biol 4:517–529CrossRef Berridge MJ, Bootman MD, Roderick HL (2003) Calcium signalling: dynamics, homeostasis and remodelling. Nat Rev Mol Cell Biol 4:517–529CrossRef
go back to reference Brangwynne CP, Mitchison TJ, Hyman AA (2011) Active liquid-like behavior of nucleoli determines their size and shape in Xenopus laevis oocytes. Proc Natl Acad Sci USA 108(11):4334–4339CrossRef Brangwynne CP, Mitchison TJ, Hyman AA (2011) Active liquid-like behavior of nucleoli determines their size and shape in Xenopus laevis oocytes. Proc Natl Acad Sci USA 108(11):4334–4339CrossRef
go back to reference Busa WB, Nuccitelli R (1985) An elevated free cytosolic Ca2+ wave follows fertilization in eggs of the frog, Xenopus laevis. J Cell Biol 100:1325–1329CrossRef Busa WB, Nuccitelli R (1985) An elevated free cytosolic Ca2+ wave follows fertilization in eggs of the frog, Xenopus laevis. J Cell Biol 100:1325–1329CrossRef
go back to reference Flacke M (2004) Reading and patterns in living cells-the physics of Ca2+ signaling. Adv Phys 53(3):255–440CrossRef Flacke M (2004) Reading and patterns in living cells-the physics of Ca2+ signaling. Adv Phys 53(3):255–440CrossRef
go back to reference Girard S, Lückhoff A, Lechleiter J, Sneyd J, Clapham D (1992) Two-dimensional model of calcium waves reproduces the patterns observed in Xenopus oocytes. Biophys J 61(2):509–517CrossRef Girard S, Lückhoff A, Lechleiter J, Sneyd J, Clapham D (1992) Two-dimensional model of calcium waves reproduces the patterns observed in Xenopus oocytes. Biophys J 61(2):509–517CrossRef
go back to reference Gosden RG, Bownes M (1995) Cellular and molecular aspects of oocyte development. In Gametes—the Oocyte. In: Grudzinskas JG, Yovich JL (eds) Reviews in human reproduction. Cambridge University Press, Cambridge, pp 23–53 Gosden RG, Bownes M (1995) Cellular and molecular aspects of oocyte development. In Gametes—the Oocyte. In: Grudzinskas JG, Yovich JL (eds) Reviews in human reproduction. Cambridge University Press, Cambridge, pp 23–53
go back to reference Hatano A, Okada J, Washio T, Hisada T, Sugiura S (2011) A three-dimensional simulation model of cardiomyocyte integrating excitation-contraction coupling and metabolism. Biophys J 101:2601–2610CrossRef Hatano A, Okada J, Washio T, Hisada T, Sugiura S (2011) A three-dimensional simulation model of cardiomyocyte integrating excitation-contraction coupling and metabolism. Biophys J 101:2601–2610CrossRef
go back to reference Igusa Y, Miyazaki SI (1983) Effects of altered extracellular and intracellular calcium concentration on hyperpolarizing responses of the hamster egg. J Physiol 340:611–632CrossRef Igusa Y, Miyazaki SI (1983) Effects of altered extracellular and intracellular calcium concentration on hyperpolarizing responses of the hamster egg. J Physiol 340:611–632CrossRef
go back to reference Jafri MS, Vajda S, Pasik P, Gillo B (1992) A membrane model for cytosolic calcium oscillations, a study using Xenopus oocytes. Biophys J 63:235–246CrossRef Jafri MS, Vajda S, Pasik P, Gillo B (1992) A membrane model for cytosolic calcium oscillations, a study using Xenopus oocytes. Biophys J 63:235–246CrossRef
go back to reference Jha BK, Adlakha N (2013) M.N Mehta, Two dimensional finite element model to study calcium distribution in astrocytes in presence of VGCC and excess buffer. Int J Model Simul Sci Comput 4:1–13CrossRef Jha BK, Adlakha N (2013) M.N Mehta, Two dimensional finite element model to study calcium distribution in astrocytes in presence of VGCC and excess buffer. Int J Model Simul Sci Comput 4:1–13CrossRef
go back to reference 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):1–14MathSciNetCrossRefMATH 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):1–14MathSciNetCrossRefMATH
go back to reference Kaouri K, Chapman SJ, Maini PK (2014) Mathematical modelling of calcium signalling taking into account mechanical effects. J Bioenerg Biomembr 46(5):403–420CrossRef Kaouri K, Chapman SJ, Maini PK (2014) Mathematical modelling of calcium signalling taking into account mechanical effects. J Bioenerg Biomembr 46(5):403–420CrossRef
go back to reference 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 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
go back to reference Liang SL, Zhao QJ, Li XC, Jin YP, Wang YP, Su XH, Guan WJ, Ma YH (2011) Dynamic analysis of Ca2+ level during bovine oocytes maturation and early embryonic development. J Vet Sci 12(2):133–142CrossRef Liang SL, Zhao QJ, Li XC, Jin YP, Wang YP, Su XH, Guan WJ, Ma YH (2011) Dynamic analysis of Ca2+ level during bovine oocytes maturation and early embryonic development. J Vet Sci 12(2):133–142CrossRef
go back to reference Machaty Z, Ramsoondar JJ, Bonk AJ, Prather RS, Bondioli KR (2002) Na+/Ca2+ exchanger in porcine oocytes. Biol Reprod 67:1133–1139CrossRef Machaty Z, Ramsoondar JJ, Bonk AJ, Prather RS, Bondioli KR (2002) Na+/Ca2+ exchanger in porcine oocytes. Biol Reprod 67:1133–1139CrossRef
go back to reference Manhas N, Pardasani KR (2014) Modelling mechanism of calcium oscillations in pancreatic acinar cells. J Bioenerg Biomembr 46(5):403–420CrossRef Manhas N, Pardasani KR (2014) Modelling mechanism of calcium oscillations in pancreatic acinar cells. J Bioenerg Biomembr 46(5):403–420CrossRef
go back to reference Manhas N, Sneyd J, Pardasani KR (2014) Modelling the transition from simple to complex Ca2+ oscillations in pancreatic acinar cells. J Biosci 39(3):463–484CrossRef Manhas N, Sneyd J, Pardasani KR (2014) Modelling the transition from simple to complex Ca2+ oscillations in pancreatic acinar cells. J Biosci 39(3):463–484CrossRef
go back to reference Marchant J, Cakkamaras N, Parker I (1999) Initiation of IP3-mediated Ca2+ waves in Xenopus oocytes. EMBO J 18:5285–5299CrossRef Marchant J, Cakkamaras N, Parker I (1999) Initiation of IP3-mediated Ca2+ waves in Xenopus oocytes. EMBO J 18:5285–5299CrossRef
go back to reference Marhl M, Haberichter T, Brumen M, Heinrick R (2000) Complex calcium oscillations and the role of mitochondria and cytosolic proteins. Biosystems 57:75–86CrossRef Marhl M, Haberichter T, Brumen M, Heinrick R (2000) Complex calcium oscillations and the role of mitochondria and cytosolic proteins. Biosystems 57:75–86CrossRef
go back to reference Matsuzaki M, Ando H, Visscher SN (1979) Fine structure of oocyte and follicular cells during oogenesis in Galloisiana Nipponensis (Caudell and King) (Grylloblattodea: Grylloblattidae). Int J Insect Morphol Embryol 8(5):257–263CrossRef Matsuzaki M, Ando H, Visscher SN (1979) Fine structure of oocyte and follicular cells during oogenesis in Galloisiana Nipponensis (Caudell and King) (Grylloblattodea: Grylloblattidae). Int J Insect Morphol Embryol 8(5):257–263CrossRef
go back to reference Naik PA, Pardasani KR (2013) One dimensional finite element method approach to study effect of ryanodine receptor and SERCA pump on calcium distribution in oocytes. J Multiscale Model 5(2):1–13MathSciNetCrossRef Naik PA, Pardasani KR (2013) One dimensional finite element method approach to study effect of ryanodine receptor and SERCA pump on calcium distribution in oocytes. J Multiscale Model 5(2):1–13MathSciNetCrossRef
go back to reference Naik PA, Pardasani KR (2015a) One dimensional finite element model to study calcium distribution in oocytes in presence of VGCC, RyR and buffers. J Med Imag Health Inform 5(3):471–476CrossRef Naik PA, Pardasani KR (2015a) One dimensional finite element model to study calcium distribution in oocytes in presence of VGCC, RyR and buffers. J Med Imag Health Inform 5(3):471–476CrossRef
go back to reference Naik PA, Pardasani KR (2015b) Two dimensional finite element model to study calcium distribution in oocytes. J Multiscale Model 6(1):1–15MathSciNetCrossRef Naik PA, Pardasani KR (2015b) Two dimensional finite element model to study calcium distribution in oocytes. J Multiscale Model 6(1):1–15MathSciNetCrossRef
go back to reference Naik PA, Pardasani KR (2016) Finite element model to study calcium distribution in oocytes involving voltage gated calcium channel, ryanodine receptor and buffers. Alex J Med 52(1):43–49CrossRef Naik PA, Pardasani KR (2016) Finite element model to study calcium distribution in oocytes involving voltage gated calcium channel, ryanodine receptor and buffers. Alex J Med 52(1):43–49CrossRef
go back to reference Panday S, Pardasani KR (2013) Finite element model to study effect of advection diffusion and Na+/Ca2+ exchanger on Ca2+ distribution in oocytes. J Med Imag Health Inform 3:374–379CrossRef Panday S, Pardasani KR (2013) Finite element model to study effect of advection diffusion and Na+/Ca2+ exchanger on Ca2+ distribution in oocytes. J Med Imag Health Inform 3:374–379CrossRef
go back to reference Panday S, Pardasani KR (2014) Finite element model to study the mechanics of calcium regulation in oocytes. J Mech Med Biol 14:1–14CrossRef Panday S, Pardasani KR (2014) Finite element model to study the mechanics of calcium regulation in oocytes. J Mech Med Biol 14:1–14CrossRef
go back to reference Pathak KB, Adlakha N (2015) Finite element model to study calcium signalling in cardiac myocytes involving pump, leak and excess buffer. J Med Imaging Health Inf 5(4):683–688CrossRef Pathak KB, Adlakha N (2015) Finite element model to study calcium signalling in cardiac myocytes involving pump, leak and excess buffer. J Med Imaging Health Inf 5(4):683–688CrossRef
go back to reference Petr J, Rajmon R, Lansk V, Sedmıkova M, Jılek F (2005) Nitric oxide-dependent activation of pig oocytes: role of calcium. Mol Cell Endocrinol 242:16–22CrossRef Petr J, Rajmon R, Lansk V, Sedmıkova M, Jılek F (2005) Nitric oxide-dependent activation of pig oocytes: role of calcium. Mol Cell Endocrinol 242:16–22CrossRef
go back to reference Rao SS (2004) The finite element method in engineering. Elsevier Science and Technology books, New York Rao SS (2004) The finite element method in engineering. Elsevier Science and Technology books, New York
go back to reference Smith GD (1996) Analytical steady-state solution to the rapid buffering approximation near an open Ca2+ channel. Biophys J 71:3064–3072CrossRef Smith GD (1996) Analytical steady-state solution to the rapid buffering approximation near an open Ca2+ channel. Biophys J 71:3064–3072CrossRef
go back to reference Smith GD, Dai L, Miura RM, Sherman A (2000) Asymptotic analysis of buffered calcium diffusion near a point source. SIAM J Appl Math 61:1816–1838MathSciNetMATH Smith GD, Dai L, Miura RM, Sherman A (2000) Asymptotic analysis of buffered calcium diffusion near a point source. SIAM J Appl Math 61:1816–1838MathSciNetMATH
go back to reference Snyder SM, Palmer BM, Moore RL (2000) A mathematical model of cardiocyte Ca2+ dynamics with a novel representation of sarcoplasmic reticular Ca2+ control. Biophys J 79:94–115CrossRef Snyder SM, Palmer BM, Moore RL (2000) A mathematical model of cardiocyte Ca2+ dynamics with a novel representation of sarcoplasmic reticular Ca2+ control. Biophys J 79:94–115CrossRef
go back to reference Stith BJ, Goalstone M, Silva S, Jaynes C (1993) Inositol 1,4,5-Trisphosphate mass changes from fertilization through first cleavage in Xenopus laevis. Mol Biol Cell 4:435–443CrossRef Stith BJ, Goalstone M, Silva S, Jaynes C (1993) Inositol 1,4,5-Trisphosphate mass changes from fertilization through first cleavage in Xenopus laevis. Mol Biol Cell 4:435–443CrossRef
go back to reference Swann K (1992) Different triggers for calcium oscillations in mouse eggs involve a ryanodine-sensitive calcium store. Biochem J 287:79–84CrossRef Swann K (1992) Different triggers for calcium oscillations in mouse eggs involve a ryanodine-sensitive calcium store. Biochem J 287:79–84CrossRef
go back to reference Takahashi T, Neher E, Sakmann B (1987) Rat brain serotonin receptors in Xenopus oocytes are coupled by intracellular calcium to endogenous channels. Proc Natl Acad Sci USA 84:5063–5067CrossRef Takahashi T, Neher E, Sakmann B (1987) Rat brain serotonin receptors in Xenopus oocytes are coupled by intracellular calcium to endogenous channels. Proc Natl Acad Sci USA 84:5063–5067CrossRef
go back to reference Tewari S, Pardasani KR (2010) Finite element model to study two dimensional unsteady state cytosolic calcium diffusion in presence of excess. IAENG J Appl Math 40(3):1–5MathSciNetMATH Tewari S, Pardasani KR (2010) Finite element model to study two dimensional unsteady state cytosolic calcium diffusion in presence of excess. IAENG J Appl Math 40(3):1–5MathSciNetMATH
go back to reference Tomkowiak M, Guerrier P, Krantic S (1997) Meiosis reinitiation of mussel oocytes involves L-type voltage gated calcium channel. J Cell Biochem 64(1):152–160CrossRef Tomkowiak M, Guerrier P, Krantic S (1997) Meiosis reinitiation of mussel oocytes involves L-type voltage gated calcium channel. J Cell Biochem 64(1):152–160CrossRef
go back to reference Tosti E (2006) Calcium ion currents mediating oocyte maturation events. Reprod Biol Endocrinol 4(26):1–9 Tosti E (2006) Calcium ion currents mediating oocyte maturation events. Reprod Biol Endocrinol 4(26):1–9
go back to reference Tosti E, Boni R (2004) Electrical events during gamete maturation and fertilization in animals and humans. Hum Reprod Update 10(1):53–65CrossRef Tosti E, Boni R (2004) Electrical events during gamete maturation and fertilization in animals and humans. Hum Reprod Update 10(1):53–65CrossRef
go back to reference Toth S, Huneau D, Banrezes B, Ozil JP (2006) Egg activation is the result of calcium signal summation in the mouse. Reproduction 131(1):27–34CrossRef Toth S, Huneau D, Banrezes B, Ozil JP (2006) Egg activation is the result of calcium signal summation in the mouse. Reproduction 131(1):27–34CrossRef
go back to reference Tripathi A, Adlakha N (2013) Finite element model to study calcium diffusion in a neuron cell involving J RyR , J Serca and J Leak , . J Appl Math Inform 31(5–6):695–709MathSciNetCrossRefMATH Tripathi A, Adlakha N (2013) Finite element model to study calcium diffusion in a neuron cell involving J RyR J Serca and J Leak , . J Appl Math Inform 31(5–6):695–709MathSciNetCrossRefMATH
go back to reference Vasilets LA, Schwarz W (1992) Regulation of endogenous and expressed Na+/K+ pumps in Xenopus oocytes by membrane potential and stimulation of protein kinases. J Membr Biol 125(2):119–132CrossRef Vasilets LA, Schwarz W (1992) Regulation of endogenous and expressed Na+/K+ pumps in Xenopus oocytes by membrane potential and stimulation of protein kinases. J Membr Biol 125(2):119–132CrossRef
go back to reference Viets LN, Campbell KD, White KL (2001) Pathways involved in RGD-mediated calcium transients in mature bovine oocytes. Cloning Stem Cells 3(3):105–113CrossRef Viets LN, Campbell KD, White KL (2001) Pathways involved in RGD-mediated calcium transients in mature bovine oocytes. Cloning Stem Cells 3(3):105–113CrossRef
go back to reference Wagner J, Keizer J (1994) Effects of rapid buffers on diffusion and oscillations. Biophys J 67:447–456CrossRef Wagner J, Keizer J (1994) Effects of rapid buffers on diffusion and oscillations. Biophys J 67:447–456CrossRef
go back to reference Yi YB, Wang H, Sastry AM, Lastoskie CM (2005) Direct stochastic simulation of Ca2+ motion in xenopus eggs. Phys Rev E 72:1–12 Yi YB, Wang H, Sastry AM, Lastoskie CM (2005) Direct stochastic simulation of Ca2+ motion in xenopus eggs. Phys Rev E 72:1–12
go back to reference Young WK, Bang H (1997) The finite element method using MATLAB. CRC Press, Boca Raton, pp 98–101 Young WK, Bang H (1997) The finite element method using MATLAB. CRC Press, Boca Raton, pp 98–101
go back to reference Young Y, Choi J, Parker I (1995) Quantal puffs of intracellular Ca2+ evoked by inositol trisphosphate in Xenopus oocytes. J Physiol 482(3):533–553CrossRef Young Y, Choi J, Parker I (1995) Quantal puffs of intracellular Ca2+ evoked by inositol trisphosphate in Xenopus oocytes. J Physiol 482(3):533–553CrossRef
go back to reference Yue C, White KL, Reed WA, Bunch TD (1995) The existence of inositol 1,4,5-trisphosphate and ryanodine receptors in mature bovine oocytes. Development 121(8):2645–2654 Yue C, White KL, Reed WA, Bunch TD (1995) The existence of inositol 1,4,5-trisphosphate and ryanodine receptors in mature bovine oocytes. Development 121(8):2645–2654
go back to reference Zhou Z, Neher E (1993) Mobile and immobile calcium buffers in bovine adrenal chromaffin cells. J Physiol 469:245–273CrossRef Zhou Z, Neher E (1993) Mobile and immobile calcium buffers in bovine adrenal chromaffin cells. J Physiol 469:245–273CrossRef
Metadata
Title
Three-dimensional finite element model to study calcium distribution in oocytes
Authors
Parvaiz Ahmad Naik
Kamal Raj Pardasani
Publication date
01-12-2017
Publisher
Springer Vienna
Published in
Network Modeling Analysis in Health Informatics and Bioinformatics / Issue 1/2017
Print ISSN: 2192-6662
Electronic ISSN: 2192-6670
DOI
https://doi.org/10.1007/s13721-017-0158-5

Other articles of this Issue 1/2017

Network Modeling Analysis in Health Informatics and Bioinformatics 1/2017 Go to the issue

Premium Partner