Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Regulation of mechanical force on cardiomyocytes beating

Chen Hui-Yan Li Luo-Fei Wang Wei Cao Yi Lei Hai

Citation:

Regulation of mechanical force on cardiomyocytes beating

Chen Hui-Yan, Li Luo-Fei, Wang Wei, Cao Yi, Lei Hai
PDF
HTML
Get Citation
  • The mechanical behavior of cardiomyocytes plays an essential role in maintaining life and health. It is traditionally believed that both electrical signals and chemical signals modulate the cardiomyocytes behaviors. Recent discoveries have elucidated that the physical cues of microenvironment can regulate cell activities such as proliferation, spreading, migration, and differentiation. However, there is still limited research on regulating cardiomyocytes beating through mechanical force. Herein we prepare different polyacrylamide gels coated with different cell adhesion ligand proteins to simulate the physical microenvironment of cardiomyocytes. Then the mechanical loading forces are loaded by using a tungsten probe to stretch elastic hydrogels which can emulate the mechanical oscillations induced by the beating of adjacent cardiomyocytes. We investigate the responsive behavior of cardiomyocytes to external mechanical oscillations within various physical microenvironments. Firstly, we load 1 Hz mechanical oscillation on the matrix (E = 11 kPa) with different kinds and concentrations of ligands (0, 5, 20, 100 μg/mL) to stimulate cardiomyocytes and observe their mechanical response behavior. Our findings indicate that all kinds of ligands including Laminin, Fibronectin and Collagen I , can mediate the cardiomyocytes response to extrinsic mechanical oscillatory stimuli, which might be due to distinct mechanisms of mechanical force coupling (Fig. (b)). This suggests that mechanical force signals can regulate the beating of cardiomyocytes through matrix-ligand-cell signaling pathway, thereby inducing intercellular coupled oscillations for rhythmic control of cardiomyocytes. Cardiomyocytes cultured on the matrix coated with 20 μg/mL Laminin show the highest and most stable response fraction. We hypothesize that there exist dual force transduction pathways for Laminin binding to integrin and dystrophin glycoprotein complex (DGC) (Fig. (a)). We further analyze the cardiomyocytes behaviors under mechanical oscillation with different values of substrate stiffness (E = 1.8, 11, 27 kPa) and concentrations of Laminin (0, 5, 20, 100 μg/mL). We find that cardiomyocytes cultured on 1.8 kPa coated with 20 μg/mL Laminin show the highest response fraction (Fig. (c)). Our results demonstrate that the stiffness of substrate, the type and density of cell adhesion ligands, as well as the strength and rhythm of the mechanical signals can synergetically affect the cardiomyocytes responses to external mechanical stimulations, which provides the foundation for understanding the diseases such as cardiac arrhythmias and heart failure following myocardial infarction.
      Corresponding author: Cao Yi, caoyi@nju.edu.cn ; Lei Hai, leihai@zju.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. T2222019, T2225016, 11934008).
    [1]

    Dogan A, Parmaksız M, Elçin A E, Elçin Y M 2016 Stem Cell Rev. Rep. 12 202Google Scholar

    [2]

    World Health Organization 2023. Licence: CC BY-NC-SA 3.0 IGO

    [3]

    Thayer J F, Yamamoto S S, Brosschot J F 2010 Int. J. Cardiol. 141 122Google Scholar

    [4]

    Quinn T A, Kohl P 2021 Physiol. Rev. 101 37Google Scholar

    [5]

    De Mello WC 1982 Circ. Res. 51 1Google Scholar

    [6]

    McCain M L, Lee H, Aratyn-Schaus Y, Kléber A G, Parker K K 2012 Proc. Natl. Acad. Sci. U.S.A. 109 9881Google Scholar

    [7]

    Kumar N M, Gilula N B 1996 Cell 84 381Google Scholar

    [8]

    Barr L, Dewey M M, Berger W 1965 J. Gen. Physiol. 48 797Google Scholar

    [9]

    Corrado D, Basso C, Thiene G, et al. 1997 J. Am. Coll. Cardiol. 30 1512Google Scholar

    [10]

    Pelham R J, Wang Y L 1997 Proc. Natl. Acad. Sci. U.S.A. 94 13661Google Scholar

    [11]

    Harris A 1973 Exp. Cell Res. 77 285Google Scholar

    [12]

    Folkman J, Moscona A 1978 Nature 273 345Google Scholar

    [13]

    Wang W Y, Davidson C D, Lin D, Baker B M 2019 Nat. Commun. 10 1186Google Scholar

    [14]

    Isomursu A, Park K Y, Hou J, et al. 2022 Nat. Mater. 21 1081Google Scholar

    [15]

    Adebowale K, Gong Z, Hou J C, Wisdom K M, Garbett D, Lee H P, Nam S, Meyer T, Odde D J, Shenoy V B, Chaudhuri O 2021 Nat. Mater. 20 1290Google Scholar

    [16]

    Bera K, Kiepas A, Godet I, Li Y, Mehta P, Ifemembi B, Paul C D, Sen A, Serra S A, Stoletov K, Tao J, Shatkin G, Lee S J, Zhang Y, Boen A, Mistriotis P, Gilkes D M, Lewis J D, Fan C M, Feinberg A P, Valverde M A, Sun S X, Konstantopoulos K 2022 Nature 611 365Google Scholar

    [17]

    王璟, 杨根, 刘峰 2015 64 058707Google Scholar

    Wang J, Yang G, Liu F 2015 Acta Phys. Sin. 64 058707Google Scholar

    [18]

    Lecuit T, Le Goff L 2007 Nature 450 189Google Scholar

    [19]

    Assoian R K, Klein E A 2008 Trends Cell Biol. 18 347Google Scholar

    [20]

    Wen J H, Vincent L G, Fuhrmann A, Choi Y S, Hribar K C, Taylor-Weiner H, Chen S, Engler A J 2014 Nat. Mater. 13 979Google Scholar

    [21]

    Engler A J, Sen S, Sweeney H L, Discher D E 2006 Cell 126 677Google Scholar

    [22]

    Zhang J S, Wong S H D, Wu X, Lei H, Qin M, Shi P, Wang W, Bian L, Cao Y 2021 Adv. Mater. 33 2105765Google Scholar

    [23]

    Chowdhury F, Na S, Li D, Poh Y C, Tanaka T S, Wang F, Wang N 2010 Nat. Mater. 9 82Google Scholar

    [24]

    Ingber D E, Folkman J 1989 J. Cell Biol. 109 317Google Scholar

    [25]

    Reinhart-King C A, Dembo M, Hammer D A 2008 Biophys. J. 95 6044Google Scholar

    [26]

    Tang X, Bajaj P, Bashir R, Saif T A 2011 Soft Matter 7 6151Google Scholar

    [27]

    Nitsan I, Drori S, Lewis Y E, Cohen S, Tzlil S 2016 Nature Phys. 12 472Google Scholar

    [28]

    Cohen O, Safran S A 2018 Sci. Rep. 8 2237Google Scholar

    [29]

    Bick R J, Snuggs M B, Poindexter B J, Buja L M, Winkle W B V 1998 Cell Adhes. Commun. 6 301Google Scholar

    [30]

    Engler A J, Carag-Krieger C, Johnson C P, Raab M, Tang H Y, Speicher D W, Sanger J W, Sanger J M, Discher D E 2008 J. Cell Sci. 121 3794Google Scholar

    [31]

    Majkut S, Idema T, Swift J, Krieger C, Liu A, Discher D E 2013 Curr. Biol. 23 2434Google Scholar

    [32]

    Jacot J G, McCulloch A D, Omens J H 2008 Biophys. J. 95 3479Google Scholar

    [33]

    Ehler E, Moore-Morris T, Lange S 2013 J. Vis. Exp. e50154

    [34]

    Gittenberger-de Groot A C, Vrancken Peeters M P F M, Mentink M M T, Gourdie R G, Poelmann R E 1998 Circ. Res. 82 1043Google Scholar

    [35]

    Berry M F, Engler A J, Woo Y J, Pirolli T J, Bish L T, Jayasankar V, Morine K J, Gardner T J, Discher D E, Sweeney H L 2006 Am. J. Physiol. Heart Circ. Physiol. 290 H2196Google Scholar

    [36]

    Eisner D A, Choi H S, Díaz M E, O'Neill S C, Trafford A W 2000 Circ. Res. 87 1087Google Scholar

    [37]

    Bers D M 2002 Nature 415 198Google Scholar

    [38]

    白永强, 唐爱辉, 王世强, 朱 星 2007 56 3607Google Scholar

    Bai Y Q, Tang A H, Wang S Q, Zhu X 2007 Acta Phys. Sin. 56 3607Google Scholar

    [39]

    Ross R S, Borg T K 2001 Circ. Res. 88 1112Google Scholar

    [40]

    Israeli-Rosenberg S, Manso A M, Okada H, Ross R S 2014 Circ. Res. 114 572Google Scholar

    [41]

    Tan P M, Buchholz K S, Omens J H, McCulloch A D, Saucerman J J 2017 PLOS Comput. Biol. 13 e1005854Google Scholar

    [42]

    Harvey P A, Leinwand L A 2011 J. of Cell Biol. 194 355Google Scholar

    [43]

    Chen-Izu Y, Izu L T 2017 J. Physiol. 595 3949Google Scholar

    [44]

    Roca-Cusachs P, Gauthier N C, del Rio A, Sheetz M P 2009 Proc. Natl. Acad. Sci. U. S. A. 106 16245Google Scholar

    [45]

    Kechagia J Z, Ivaska J, Roca-Cusachs P 2019 Nat. Rev. Mol. Cell Biol. 20 457Google Scholar

    [46]

    Sun Z, Guo S S, Fässler R 2016 J. Cell Biol. 215 445Google Scholar

    [47]

    Han Y L, Ronceray P, Xu G, Malandrino A, Kamm R D, Lenz M, Broedersz C P, Guo M 2018 Proc. Natl. Acad. Sci. U. S. A. 115 4075Google Scholar

    [48]

    Hall M S, Alisafaei F, Ban E, Feng X, Hui C Y, Shenoy V B, Wu M 2016 Proc. Natl. Acad. Sci. U. S. A. 113 14043Google Scholar

    [49]

    孙波 2015 64 058201Google Scholar

    Sun B 2015 Acta Phys. Sin. 64 058201Google Scholar

    [50]

    Hu J Y, Li J H, Jiang J, Wang L L, Roth J, McGuinness K N, Baum J, Dai W, Sun Y, Nanda V, Xu F 2022 Nat. Commun. 13 6761Google Scholar

    [51]

    Discher D E, Janmey P, Wang Y L 2005 Science 310 1139Google Scholar

    [52]

    Hersch N, Wolters B, Dreissen G, Springer R, Kirchgeßner N, Merkel R, Hoffmann B 2013 Biol. Open 2 351Google Scholar

  • 图 1  力学刺激加载平台示意图

    Figure 1.  Diagram of mechanical loading platform.

    图 2  聚丙烯酰胺水凝胶的制备与表征 (a) 聚丙烯酰胺水凝胶的制备示意图; (b)—(d) 基于AFM的3种不同水凝胶的杨氏模量分布, 其杨氏模量分别为(1.824 ± 0.111) kPa, (11.688 ± 0.493) kPa和(27.358 ± 2.331) kPa; (e)—(g)对应3种水凝胶的SEM结果

    Figure 2.  Preparation and characterization of PA gel: (a) Schematic illustration of the preparation of PA gel; (b)–(d) the Young’ modulus distributions of three different of PA gel measured by AFM, which are (1.824 ± 0.111) kPa, (11.688 ± 0.493) kPa, and (27.358 ± 2.331) kPa, respectively; (e)–(g) SEM images of three different of PA gel.

    图 3  力学刺激加载及荧光表征 (a), (b)分别为对单个心肌细胞施加力学刺激前后的实物图; (c) 钨针运动到最大振幅时, PA gel上各点的位移分布图(单位为 μm); (d) 心肌细胞机械行为检测, 红色虚线为钨针输出的力振荡信号, 黑色实线是心肌细胞达到同频后Fluo4探针检测到的Ca2+ 振荡信号

    Figure 3.  Mechanical loading and fluorescence characterization: (a), (b) Phase-contrast images of individual cardiomyocyte before and after mechanical stimulation; (c) displacement distribution of each point on PA gel when the tungsten probe moves to the maximum amplitude (unit: μm); (d) mechanical behavior detection of cardiomyocytes, the red dotted line is the signal of mechanical oscillation output by tungsten probe, and the black solid line is the Ca2+ oscillation signal detected by Fluo4 probe after cardiomyocytes reach the same frequency with the tungsten probe.

    图 4  心肌细胞在不同种类及浓度配体的基质(E = 11 kPa)上发生机械响应行为 (a) 心肌细胞机械响应百分比(n > 31); (b) 心肌细胞产生响应所需的机械刺激时间 (n > 7); (c)心肌细胞与钨针同频所需的机械刺激时间 (n > 5); (d) 心肌细胞同频持续时长(n > 5); (e) 3种不同配体( Laminin / Fibronectin / Collagen I ) 分别与心肌细胞膜受体结合示意图

    Figure 4.  Mechanical response behavior of cardiomyocytes on the matrix (E = 11 kPa) with different kinds and concentrations of ligands: (a) The fraction of mechanical response of cardiomyocytes (n > 31); (b) the mechanical stimulation time required for cardiomyocytes to respond the stimulation (n > 7); (c) the mechanical stimulation time required for cardiomyocytes to couple with the tungsten probe (n > 5); (d) duration of cardiomyocyte coupling with tungsten probe (n > 5); (e) schematics of three different ligands (Laminin/Fibronectin/Collagen I) binding to myocardial cell membrane receptors.

    图 5  心肌细胞在不同Laminin浓度和基质硬度上的机械响应行为 (a) 心肌细胞机械响应百分比 (n > 23); (b) 心肌细胞产生响应所需的机械刺激时间 (n > 8); (c) 心肌细胞与钨针同频所需的机械刺激时间 (n > 5); (d)心肌细胞同频持续时长 (n > 5)

    Figure 5.  Mechanical response behavior of cardiomyocytes at different Laminin concentrations and matrix stiffness: (a) The fraction of mechanical response of cardiomyocytes (n > 23); (b) The mechanical stimulation time required for cardiomyocytes to respond the stimulation (n > 8); (c)The mechanical stimulation time required for cardiomyocytes to couple with the tungsten probe (n > 5); (d) Duration of cardiomyocytes coupling with tungsten probe (n > 5).

    Baidu
  • [1]

    Dogan A, Parmaksız M, Elçin A E, Elçin Y M 2016 Stem Cell Rev. Rep. 12 202Google Scholar

    [2]

    World Health Organization 2023. Licence: CC BY-NC-SA 3.0 IGO

    [3]

    Thayer J F, Yamamoto S S, Brosschot J F 2010 Int. J. Cardiol. 141 122Google Scholar

    [4]

    Quinn T A, Kohl P 2021 Physiol. Rev. 101 37Google Scholar

    [5]

    De Mello WC 1982 Circ. Res. 51 1Google Scholar

    [6]

    McCain M L, Lee H, Aratyn-Schaus Y, Kléber A G, Parker K K 2012 Proc. Natl. Acad. Sci. U.S.A. 109 9881Google Scholar

    [7]

    Kumar N M, Gilula N B 1996 Cell 84 381Google Scholar

    [8]

    Barr L, Dewey M M, Berger W 1965 J. Gen. Physiol. 48 797Google Scholar

    [9]

    Corrado D, Basso C, Thiene G, et al. 1997 J. Am. Coll. Cardiol. 30 1512Google Scholar

    [10]

    Pelham R J, Wang Y L 1997 Proc. Natl. Acad. Sci. U.S.A. 94 13661Google Scholar

    [11]

    Harris A 1973 Exp. Cell Res. 77 285Google Scholar

    [12]

    Folkman J, Moscona A 1978 Nature 273 345Google Scholar

    [13]

    Wang W Y, Davidson C D, Lin D, Baker B M 2019 Nat. Commun. 10 1186Google Scholar

    [14]

    Isomursu A, Park K Y, Hou J, et al. 2022 Nat. Mater. 21 1081Google Scholar

    [15]

    Adebowale K, Gong Z, Hou J C, Wisdom K M, Garbett D, Lee H P, Nam S, Meyer T, Odde D J, Shenoy V B, Chaudhuri O 2021 Nat. Mater. 20 1290Google Scholar

    [16]

    Bera K, Kiepas A, Godet I, Li Y, Mehta P, Ifemembi B, Paul C D, Sen A, Serra S A, Stoletov K, Tao J, Shatkin G, Lee S J, Zhang Y, Boen A, Mistriotis P, Gilkes D M, Lewis J D, Fan C M, Feinberg A P, Valverde M A, Sun S X, Konstantopoulos K 2022 Nature 611 365Google Scholar

    [17]

    王璟, 杨根, 刘峰 2015 64 058707Google Scholar

    Wang J, Yang G, Liu F 2015 Acta Phys. Sin. 64 058707Google Scholar

    [18]

    Lecuit T, Le Goff L 2007 Nature 450 189Google Scholar

    [19]

    Assoian R K, Klein E A 2008 Trends Cell Biol. 18 347Google Scholar

    [20]

    Wen J H, Vincent L G, Fuhrmann A, Choi Y S, Hribar K C, Taylor-Weiner H, Chen S, Engler A J 2014 Nat. Mater. 13 979Google Scholar

    [21]

    Engler A J, Sen S, Sweeney H L, Discher D E 2006 Cell 126 677Google Scholar

    [22]

    Zhang J S, Wong S H D, Wu X, Lei H, Qin M, Shi P, Wang W, Bian L, Cao Y 2021 Adv. Mater. 33 2105765Google Scholar

    [23]

    Chowdhury F, Na S, Li D, Poh Y C, Tanaka T S, Wang F, Wang N 2010 Nat. Mater. 9 82Google Scholar

    [24]

    Ingber D E, Folkman J 1989 J. Cell Biol. 109 317Google Scholar

    [25]

    Reinhart-King C A, Dembo M, Hammer D A 2008 Biophys. J. 95 6044Google Scholar

    [26]

    Tang X, Bajaj P, Bashir R, Saif T A 2011 Soft Matter 7 6151Google Scholar

    [27]

    Nitsan I, Drori S, Lewis Y E, Cohen S, Tzlil S 2016 Nature Phys. 12 472Google Scholar

    [28]

    Cohen O, Safran S A 2018 Sci. Rep. 8 2237Google Scholar

    [29]

    Bick R J, Snuggs M B, Poindexter B J, Buja L M, Winkle W B V 1998 Cell Adhes. Commun. 6 301Google Scholar

    [30]

    Engler A J, Carag-Krieger C, Johnson C P, Raab M, Tang H Y, Speicher D W, Sanger J W, Sanger J M, Discher D E 2008 J. Cell Sci. 121 3794Google Scholar

    [31]

    Majkut S, Idema T, Swift J, Krieger C, Liu A, Discher D E 2013 Curr. Biol. 23 2434Google Scholar

    [32]

    Jacot J G, McCulloch A D, Omens J H 2008 Biophys. J. 95 3479Google Scholar

    [33]

    Ehler E, Moore-Morris T, Lange S 2013 J. Vis. Exp. e50154

    [34]

    Gittenberger-de Groot A C, Vrancken Peeters M P F M, Mentink M M T, Gourdie R G, Poelmann R E 1998 Circ. Res. 82 1043Google Scholar

    [35]

    Berry M F, Engler A J, Woo Y J, Pirolli T J, Bish L T, Jayasankar V, Morine K J, Gardner T J, Discher D E, Sweeney H L 2006 Am. J. Physiol. Heart Circ. Physiol. 290 H2196Google Scholar

    [36]

    Eisner D A, Choi H S, Díaz M E, O'Neill S C, Trafford A W 2000 Circ. Res. 87 1087Google Scholar

    [37]

    Bers D M 2002 Nature 415 198Google Scholar

    [38]

    白永强, 唐爱辉, 王世强, 朱 星 2007 56 3607Google Scholar

    Bai Y Q, Tang A H, Wang S Q, Zhu X 2007 Acta Phys. Sin. 56 3607Google Scholar

    [39]

    Ross R S, Borg T K 2001 Circ. Res. 88 1112Google Scholar

    [40]

    Israeli-Rosenberg S, Manso A M, Okada H, Ross R S 2014 Circ. Res. 114 572Google Scholar

    [41]

    Tan P M, Buchholz K S, Omens J H, McCulloch A D, Saucerman J J 2017 PLOS Comput. Biol. 13 e1005854Google Scholar

    [42]

    Harvey P A, Leinwand L A 2011 J. of Cell Biol. 194 355Google Scholar

    [43]

    Chen-Izu Y, Izu L T 2017 J. Physiol. 595 3949Google Scholar

    [44]

    Roca-Cusachs P, Gauthier N C, del Rio A, Sheetz M P 2009 Proc. Natl. Acad. Sci. U. S. A. 106 16245Google Scholar

    [45]

    Kechagia J Z, Ivaska J, Roca-Cusachs P 2019 Nat. Rev. Mol. Cell Biol. 20 457Google Scholar

    [46]

    Sun Z, Guo S S, Fässler R 2016 J. Cell Biol. 215 445Google Scholar

    [47]

    Han Y L, Ronceray P, Xu G, Malandrino A, Kamm R D, Lenz M, Broedersz C P, Guo M 2018 Proc. Natl. Acad. Sci. U. S. A. 115 4075Google Scholar

    [48]

    Hall M S, Alisafaei F, Ban E, Feng X, Hui C Y, Shenoy V B, Wu M 2016 Proc. Natl. Acad. Sci. U. S. A. 113 14043Google Scholar

    [49]

    孙波 2015 64 058201Google Scholar

    Sun B 2015 Acta Phys. Sin. 64 058201Google Scholar

    [50]

    Hu J Y, Li J H, Jiang J, Wang L L, Roth J, McGuinness K N, Baum J, Dai W, Sun Y, Nanda V, Xu F 2022 Nat. Commun. 13 6761Google Scholar

    [51]

    Discher D E, Janmey P, Wang Y L 2005 Science 310 1139Google Scholar

    [52]

    Hersch N, Wolters B, Dreissen G, Springer R, Kirchgeßner N, Merkel R, Hoffmann B 2013 Biol. Open 2 351Google Scholar

  • [1] Fan Jun-Yu, Gao Nan, Wang Peng-Ju, Su Yan. Intermolecular interactions and thermodynamic properties of LLM-105. Acta Physica Sinica, 2024, 73(4): 046501. doi: 10.7498/aps.73.20231696
    [2] Han Xu, Xue Bin, Cao Yi, Wang Wei. Self-assembled biomolecular soft materials and their physical properties. Acta Physica Sinica, 2024, 73(17): 178103. doi: 10.7498/aps.73.20240947
    [3] Yu Hang, Zhang Ran, Yang Fan, Li Hua. Molecular dynamics study on the conversion mechanism between momentum and energy components in gas-surface interaction. Acta Physica Sinica, 2021, 70(2): 024702. doi: 10.7498/aps.70.20201192
    [4] Chen Kang, Shen Yu-Nian. Nonlinear frictional contact behavior of porous polymer hydrogels for soft robot. Acta Physica Sinica, 2021, 70(12): 120201. doi: 10.7498/aps.70.20202134
    [5] Geng Jun-Xian, Li Shao-Qiang, Wang Shi-Qi, Huang Chun, Lü Yun-Jie, Hu Rui, Qu Jun-Le, Liu Li-Wei. Stimulating Ca2+ photoactivation of nerve cells by near-infrared light. Acta Physica Sinica, 2020, 69(15): 158701. doi: 10.7498/aps.69.20200489
    [6] Zhu Qi, Yuan Xie-Tao, Zhu Yi-Hao, Zhang Xiao-Hua, Yang Zhao-Hui. Flexible solid-state supercapacitors based on shrunk high-density aligned carbon nanotube arrays. Acta Physica Sinica, 2018, 67(2): 028201. doi: 10.7498/aps.67.20171855
    [7] Li Xiang, Liu Feng, Shuai Jian-Wei. Dynamical studies of cellular signaling networks in cancers. Acta Physica Sinica, 2016, 65(17): 178704. doi: 10.7498/aps.65.178704
    [8] Sun Bo. Collagen network and the mechanical microenvironment of cancer cells. Acta Physica Sinica, 2015, 64(5): 058201. doi: 10.7498/aps.64.058201
    [9] Wang Chun-Ni, Ma Jun. Suppression of the spiral wave in cardiac tissue by using forcing currents with diversity. Acta Physica Sinica, 2013, 62(8): 084501. doi: 10.7498/aps.62.084501
    [10] Zhou Heng-Wei, Liu Jun, Lei Ting, Huang Yi-Neng. Application of reed-vibration mechanical spectroscopy of liquids for studying dehydration denaturation of protein hydrogel. Acta Physica Sinica, 2013, 62(7): 076203. doi: 10.7498/aps.62.076203
    [11] Bai Yong-Qiang, Zhu Xing. Calcium ion spiral wave induced by random calcium ion sparks in single heart cell. Acta Physica Sinica, 2012, 61(15): 158203. doi: 10.7498/aps.61.158203
    [12] Zhang Chun-Bing, Qiu Yuan-Yuan, Xi Xiao-Yu, Zhang Dong. Ultrasonic enhancement of interaction between liposome and cell. Acta Physica Sinica, 2009, 58(6): 3996-4001. doi: 10.7498/aps.58.3996
    [13] Bai Yong-Qiang, Tang Ai-Hui, Wang Shi-Qiang, Zhu Xing. Micro-dynamics of Ca2+ signals in single heart cells. Acta Physica Sinica, 2007, 56(6): 3607-3612. doi: 10.7498/aps.56.3607
    [14] Men Fu-Dian. Thermodynamic properties of a weakly interacting Fermi gas in weak magnetic field. Acta Physica Sinica, 2006, 55(4): 1622-1627. doi: 10.7498/aps.55.1622
    [15] Song Jun, Cao Zhuo-Liang. Dynamical properties in the system of two identical two-level entangled atoms interacting with radiation fields in binomial states. Acta Physica Sinica, 2005, 54(2): 696-702. doi: 10.7498/aps.54.696
    [16] Wang Hong-Xia, He Chen. Dynamical behaviour of a cellular neural network. Acta Physica Sinica, 2003, 52(10): 2409-2414. doi: 10.7498/aps.52.2409
    [17] Chen Ying, Qiu Xi-Jun. Collective radiation of water in cytoskeletal microtubule. Acta Physica Sinica, 2003, 52(6): 1554-1560. doi: 10.7498/aps.52.1554
    [18] LI MI. THE INTERATOMIC INTERACTION AND PHONON DISPERSIONS IN IRON. Acta Physica Sinica, 2000, 49(9): 1692-1695. doi: 10.7498/aps.49.1692
    [19] YAN JIA-REN, MEI YU-PING. INTERACTION BETWEEN SOLITONS IN OPTICAL FIBERS. Acta Physica Sinica, 1996, 45(7): 1122-1129. doi: 10.7498/aps.45.1122
    [20] DAI CHANG-JIAN. INTERACTIONS OF AUTOIONIZING SERIES. Acta Physica Sinica, 1994, 43(3): 369-379. doi: 10.7498/aps.43.369
  • supplement 8-20240095Suppl.pdf supplement
Metrics
  • Abstract views:  3376
  • PDF Downloads:  150
  • Cited By: 0
Publishing process
  • Received Date:  15 January 2024
  • Accepted Date:  05 February 2024
  • Available Online:  06 February 2024
  • Published Online:  20 April 2024

/

返回文章
返回
Baidu
map