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Kinnunen PC, Srivastava S, Wang Z, Ho KK, Humphries BA, Chen S, Linderman JJ, Luker GD, Luker KE, Garikipati K. Inference of weak-form partial differential equations describing migration and proliferation mechanisms in wound healing experiments on cancer cells. ARXIV 2024:arXiv:2302.09445v2. [PMID: 39502887 PMCID: PMC11537331] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Indexed: 11/13/2024]
Abstract
Targeting signaling pathways that drive cancer cell migration or proliferation is a common therapeutic approach. A popular experimental technique, the scratch assay, measures the migration and proliferation-driven cell closure of a defect in a confluent cell monolayer. These assays do not measure dynamic effects. To improve analysis of scratch assays, we combine high-throughput scratch assays, video microscopy, and system identification to infer partial differential equation (PDE) models of cell migration and proliferation. We capture the evolution of cell density fields over time using live cell microscopy and automated image processing. We employ weak form-based system identification techniques for cell density dynamics modeled with first-order kinetics of advection-diffusion-reaction systems. We present a comparison of our methods to results obtained using traditional inference approaches on previously analyzed 1-dimensional scratch assay data. We demonstrate the application of this pipeline on high throughput 2-dimensional scratch assays and find that low levels of trametinib inhibit wound closure primarily by decreasing random cell migration by approximately 20%. Our integrated experimental and computational pipeline can be adapted for quantitatively inferring the effect of biological perturbations on cell migration and proliferation in various cell lines.
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Affiliation(s)
| | - Siddhartha Srivastava
- Department of Mechanical Engineering, University of Michigan, United States
- Michigan Institute for Computational Discovery & Engineering, University of Michigan, United States
- Department of Aerospace & Mechanical Engineering, University of Southern California, United States
| | - Zhenlin Wang
- Department of Mechanical Engineering, University of Michigan, United States
- Michigan Institute for Computational Discovery & Engineering, University of Michigan, United States
| | - Kenneth K.Y. Ho
- Department of Radiology, University of Michigan, United States
| | | | - Siyi Chen
- Department of Radiology, University of Michigan, United States
| | - Jennifer J. Linderman
- Department of Chemical Engineering, University of Michigan, United States
- Department of Biomedical Engineering, University of Michigan, United States
| | - Gary D. Luker
- Department of Radiology, University of Michigan, United States
- Department of Biomedical Engineering, University of Michigan, United States
- Biointerfaces Institute, University of Michigan, United States
| | - Kathryn E. Luker
- Department of Radiology, University of Michigan, United States
- Biointerfaces Institute, University of Michigan, United States
| | - Krishna Garikipati
- Department of Mechanical Engineering, University of Michigan, United States
- Department of Mathematics, University of Michigan, United States
- Michigan Institute for Computational Discovery & Engineering, University of Michigan, United States
- Department of Aerospace & Mechanical Engineering, University of Southern California, United States
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Venkatachalapathy H, Brzakala C, Batchelor E, Azarin SM, Sarkar CA. Inertial effect of cell state velocity on the quiescence-proliferation fate decision. NPJ Syst Biol Appl 2024; 10:111. [PMID: 39358384 PMCID: PMC11447052 DOI: 10.1038/s41540-024-00428-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/02/2024] [Accepted: 08/16/2024] [Indexed: 10/04/2024] Open
Abstract
Energy landscapes can provide intuitive depictions of population heterogeneity and dynamics. However, it is unclear whether individual cell behavior, hypothesized to be determined by initial position and noise, is faithfully recapitulated. Using the p21-/Cdk2-dependent quiescence-proliferation decision in breast cancer dormancy as a testbed, we examined single-cell dynamics on the landscape when perturbed by hypoxia, a dormancy-inducing stress. Combining trajectory-based energy landscape generation with single-cell time-lapse microscopy, we found that a combination of initial position and velocity on a p21/Cdk2 landscape, but not position alone, was required to explain the observed cell fate heterogeneity under hypoxia. This is likely due to additional cell state information such as epigenetic features and/or other species encoded in velocity but missing in instantaneous position determined by p21 and Cdk2 levels alone. Here, velocity dependence manifested as inertia: cells with higher cell cycle velocities prior to hypoxia continued progressing along the cell cycle under hypoxia, resisting the change in landscape towards cell cycle exit. Such inertial effects may markedly influence cell fate trajectories in tumors and other dynamically changing microenvironments where cell state transitions are governed by coordination across several biochemical species.
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Affiliation(s)
- Harish Venkatachalapathy
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN, USA
| | - Cole Brzakala
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN, USA
| | - Eric Batchelor
- Department of Integrative Biology and Physiology, University of Minnesota, Minneapolis, MN, USA
| | - Samira M Azarin
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN, USA.
| | - Casim A Sarkar
- Department of Biomedical Engineering, University of Minnesota, Minneapolis, MN, USA.
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Kinnunen PC, Humphries BA, Luker GD, Luker KE, Linderman JJ. Characterizing heterogeneous single-cell dose responses computationally and experimentally using threshold inhibition surfaces and dose-titration assays. NPJ Syst Biol Appl 2024; 10:42. [PMID: 38637530 PMCID: PMC11026493 DOI: 10.1038/s41540-024-00369-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/16/2023] [Accepted: 04/08/2024] [Indexed: 04/20/2024] Open
Abstract
Single cancer cells within a tumor exhibit variable levels of resistance to drugs, ultimately leading to treatment failures. While tumor heterogeneity is recognized as a major obstacle to cancer therapy, standard dose-response measurements for the potency of targeted kinase inhibitors aggregate populations of cells, obscuring intercellular variations in responses. In this work, we develop an analytical and experimental framework to quantify and model dose responses of individual cancer cells to drugs. We first explore the connection between population and single-cell dose responses using a computational model, revealing that multiple heterogeneous populations can yield nearly identical population dose responses. We demonstrate that a single-cell analysis method, which we term a threshold inhibition surface, can differentiate among these populations. To demonstrate the applicability of this method, we develop a dose-titration assay to measure dose responses in single cells. We apply this assay to breast cancer cells responding to phosphatidylinositol-3-kinase inhibition (PI3Ki), using clinically relevant PI3Kis on breast cancer cell lines expressing fluorescent biosensors for kinase activity. We demonstrate that MCF-7 breast cancer cells exhibit heterogeneous dose responses with some cells requiring over ten-fold higher concentrations than the population average to achieve inhibition. Our work reimagines dose-response relationships for cancer drugs in an emerging paradigm of single-cell tumor heterogeneity.
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Affiliation(s)
- Patrick C Kinnunen
- Department of Chemical Engineering, University of Michigan, Ann Arbor, MI, 48109, USA
| | - Brock A Humphries
- Department of Radiology, University of Michigan, Ann Arbor, MI, 48109, USA
| | - Gary D Luker
- Department of Radiology, University of Michigan, Ann Arbor, MI, 48109, USA
- Department of Biomedical Engineering, University of Michigan, Ann Arbor, MI, 48109, USA
- Biointerfaces Institute, University of Michigan, Ann Arbor, MI, 48109, USA
| | - Kathryn E Luker
- Department of Radiology, University of Michigan, Ann Arbor, MI, 48109, USA
- Biointerfaces Institute, University of Michigan, Ann Arbor, MI, 48109, USA
| | - Jennifer J Linderman
- Department of Chemical Engineering, University of Michigan, Ann Arbor, MI, 48109, USA.
- Department of Biomedical Engineering, University of Michigan, Ann Arbor, MI, 48109, USA.
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4
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Zhang XQ, Wang XY, Dong BC, Li MX, Wang Y, Xiao T, Zhao SS. C-X-C chemokine receptor type 7 antibody enhances neural plasticity after ischemic stroke. Neural Regen Res 2023; 18:1976-1982. [PMID: 36926722 PMCID: PMC10233764 DOI: 10.4103/1673-5374.363835] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/30/2022] [Revised: 10/10/2022] [Accepted: 11/11/2022] [Indexed: 12/15/2022] Open
Abstract
Stromal cell-derived factor-1 and its receptor C-X-C chemokine receptor 4 (CXCR4) have been shown to regulate neural regeneration after stroke. However, whether stromal cell-derived factor-1 receptor CXCR7, which is widely distributed in the developing and adult central nervous system, participates in neural regeneration remains poorly understood. In this study, we established rat models of focal cerebral ischemia by injecting endothelin-1 into the cerebral cortex and striatum. Starting on day 7 after injury, CXCR7-neutralizing antibody was injected into the lateral ventricle using a micro drug delivery system for 6 consecutive days. Our results showed that CXCR7-neutralizing antibody increased the total length and number of sprouting corticospinal tract fibers in rats with cerebral ischemia, increased the expression of vesicular glutamate transporter 1 and growth-related protein 43, markers of the denervated spinal cord synapses, and promoted the differentiation and maturation of oligodendrocyte progenitor cells in the striatum. In addition, CXCR7 antibody increased the expression of CXCR4 in the striatum, increased the protein expression of RAS and ERK1/2 associated with the RAS/ERK signaling pathway, and improved rat motor function. These findings suggest that CXCR7 improved neural functional recovery after ischemic stroke by promoting axonal regeneration, synaptogenesis, and myelin regeneration, which may be achieved by activation of CXCR4 and the RAS/ERK1/2 signaling pathway.
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Affiliation(s)
- Xiao-Qian Zhang
- Department of Neurology, The First Hospital of China Medical University, Shenyang, Liaoning Province, China
| | - Xiao-Yin Wang
- Department of Neurology, The First Hospital of China Medical University, Shenyang, Liaoning Province, China
| | - Bing-Chao Dong
- Department of Neurology, The First Hospital of China Medical University, Shenyang, Liaoning Province, China
| | - Mei-Xuan Li
- Department of Neurology, The First Hospital of China Medical University, Shenyang, Liaoning Province, China
| | - Yu Wang
- Department of Neurology, The First Hospital of China Medical University, Shenyang, Liaoning Province, China
| | - Ting Xiao
- Key Laboratory of Immunodermatology, Ministry of Health, Ministry of Education, Shenyang, Liaoning Province, China
| | - Shan-Shan Zhao
- Department of Neurology, The First Hospital of China Medical University, Shenyang, Liaoning Province, China
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Venkatachalapathy H, Brzakala C, Batchelor E, Azarin SM, Sarkar CA. Inertial effect of cell state velocity on the quiescence-proliferation fate decision in breast cancer. BIORXIV : THE PREPRINT SERVER FOR BIOLOGY 2023:2023.05.22.541793. [PMID: 37292599 PMCID: PMC10245870 DOI: 10.1101/2023.05.22.541793] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Energy landscapes can provide intuitive depictions of population heterogeneity and dynamics. However, it is unclear whether individual cell behavior, hypothesized to be determined by initial position and noise, is faithfully recapitulated. Using the p21-/Cdk2-dependent quiescence-proliferation decision in breast cancer dormancy as a testbed, we examined single-cell dynamics on the landscape when perturbed by hypoxia, a dormancy-inducing stress. Combining trajectory-based energy landscape generation with single-cell time-lapse microscopy, we found that initial position on a p21/Cdk2 landscape did not fully explain the observed cell-fate heterogeneity under hypoxia. Instead, cells with higher cell state velocities prior to hypoxia, influenced by epigenetic parameters, tended to remain proliferative under hypoxia. Thus, the fate decision on this landscape is significantly influenced by "inertia", a velocity-dependent ability to resist directional changes despite reshaping of the underlying landscape, superseding positional effects. Such inertial effects may markedly influence cell-fate trajectories in tumors and other dynamically changing microenvironments.
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Affiliation(s)
- Harish Venkatachalapathy
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, USA
| | - Cole Brzakala
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, USA
| | - Eric Batchelor
- Department of Integrative Biology and Physiology, University of Minnesota, Minneapolis, MN 55455, USA
| | - Samira M. Azarin
- Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, USA
| | - Casim A. Sarkar
- Department of Biomedical Engineering, University of Minnesota, Minneapolis, MN 55455, USA
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Ho KKY, Srivastava S, Kinnunen PC, Garikipati K, Luker GD, Luker KE. Oscillatory ERK Signaling and Morphology Determine Heterogeneity of Breast Cancer Cell Chemotaxis via MEK-ERK and p38-MAPK Signaling Pathways. Bioengineering (Basel) 2023; 10:bioengineering10020269. [PMID: 36829763 PMCID: PMC9952091 DOI: 10.3390/bioengineering10020269] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/26/2022] [Revised: 01/24/2023] [Accepted: 02/12/2023] [Indexed: 02/22/2023] Open
Abstract
Chemotaxis, regulated by oscillatory signals, drives critical processes in cancer metastasis. Crucial chemoattractant molecules in breast cancer, CXCL12 and EGF, drive the activation of ERK and Akt. Regulated by feedback and crosstalk mechanisms, oscillatory signals in ERK and Akt control resultant changes in cell morphology and chemotaxis. While commonly studied at the population scale, metastasis arises from small numbers of cells that successfully disseminate, underscoring the need to analyze processes that cancer cells use to connect oscillatory signaling to chemotaxis at single-cell resolution. Furthermore, little is known about how to successfully target fast-migrating cells to block metastasis. We investigated to what extent oscillatory networks in single cells associate with heterogeneous chemotactic responses and how targeted inhibitors block signaling processes in chemotaxis. We integrated live, single-cell imaging with time-dependent data processing to discover oscillatory signal processes defining heterogeneous chemotactic responses. We identified that short ERK and Akt waves, regulated by MEK-ERK and p38-MAPK signaling pathways, determine the heterogeneous random migration of cancer cells. By comparison, long ERK waves and the morphological changes regulated by MEK-ERK signaling, determine heterogeneous directed motion. This study indicates that treatments against chemotaxis in consider must interrupt oscillatory signaling.
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Affiliation(s)
- Kenneth K. Y. Ho
- Department of Radiology, University of Michigan, Ann Arbor, MI 48109, USA
| | - Siddhartha Srivastava
- Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA
| | - Patrick C. Kinnunen
- Department of Chemical Engineering, University of Michigan, Ann Arbor, MI 48109, USA
| | - Krishna Garikipati
- Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI 48109, USA
- Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA
- Michigan Institute for Computational Discovery & Engineering, University of Michigan, Ann Arbor, MI 48109, USA
| | - Gary D. Luker
- Department of Radiology, University of Michigan, Ann Arbor, MI 48109, USA
- Department of Biomedical Engineering, University of Michigan, Ann Arbor, MI 48109, USA
- Department of Microbiology and Immunology, University of Michigan, Ann Arbor, MI 48109, USA
- Correspondence: (G.D.L.); (K.E.L.)
| | - Kathryn E. Luker
- Department of Radiology, University of Michigan, Ann Arbor, MI 48109, USA
- Biointerfaces Institute, University of Michigan, Ann Arbor, MI 48109, USA
- Correspondence: (G.D.L.); (K.E.L.)
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Jiao L, Yang Q, Miao G, Wang Y, Yang Z, Liu X. Bone Marrow Mesenchymal Stem Cell (BMSC) Restrains the Angiogenesis in Melanoma Through Stromal-Derived-Factor-1/C-X-C Chemokine Receptor Type 4 (SDF-1/CXCR4). J BIOMATER TISS ENG 2022. [DOI: 10.1166/jbt.2022.3136] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
Abstract
This study analyzes the effect of BMSC on restraining the angiogenesis in melanoma through inducing SDF-1/CXCR4 channel. 50 female naked rates were equally assigned into NC group, model group, BMSC group, agonist group and positive NC group randomly followed by analysis of pathological
changes, and the level of HIF-1, VEG, MVD, SDF-1 and CXCR4. Agonist group showed the highest level of HIF-1α and VEGF and MVD followed by, model group BMSC group, positive NC group and NC group with no different between BMSC group and positive NC group. SDF-1 and CXCR4 expression
was highest in agonist group, followed by that in model group, positive NC group, BMSC group and NC group without difference between model group and positive NC group. In conclusion, SDF-1/CXCR4 activity could be restrained by BMSC partly along with reduced level of HIF-1α and
VEGF. This is mainly related with restraining the SDF-1/CXCR4 channel, indicating that it could be adopted as a brand-new therapeutic target for treating melanoma.
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Affiliation(s)
- Liyan Jiao
- Department of Dermatological, Affiliated Hospital of Hebei University of Engineering, Handan, Hebei, 056000, China
| | - Qingyan Yang
- Department of Neurology, Affiliated Hospital of Hebei University of Engineering, Handan, Hebei, 056000, China
| | - Guoying Miao
- Department of Dermatological, Affiliated Hospital of Hebei University of Engineering, Handan, Hebei, 056000, China
| | - Youming Wang
- Department of Neurology, Affiliated Hospital of Hebei University of Engineering, Handan, Hebei, 056000, China
| | - Zhitang Yang
- Department of Neurology, Affiliated Hospital of Hebei University of Engineering, Handan, Hebei, 056000, China
| | - Xiaojuan Liu
- Department of Dermatological, Affiliated Hospital of Hebei University of Engineering, Handan, Hebei, 056000, China
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