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Wang X, Jenner AL, Salomone R, Warne DJ, Drovandi C. Calibration of agent based models for monophasic and biphasic tumour growth using approximate Bayesian computation. J Math Biol 2024; 88:28. [PMID: 38358410 PMCID: PMC10869399 DOI: 10.1007/s00285-024-02045-4] [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: 06/28/2023] [Revised: 10/25/2023] [Accepted: 12/27/2023] [Indexed: 02/16/2024]
Abstract
Agent-based models (ABMs) are readily used to capture the stochasticity in tumour evolution; however, these models are often challenging to validate with experimental measurements due to model complexity. The Voronoi cell-based model (VCBM) is an off-lattice agent-based model that captures individual cell shapes using a Voronoi tessellation and mimics the evolution of cancer cell proliferation and movement. Evidence suggests tumours can exhibit biphasic growth in vivo. To account for this phenomena, we extend the VCBM to capture the existence of two distinct growth phases. Prior work primarily focused on point estimation for the parameters without consideration of estimating uncertainty. In this paper, approximate Bayesian computation is employed to calibrate the model to in vivo measurements of breast, ovarian and pancreatic cancer. Our approach involves estimating the distribution of parameters that govern cancer cell proliferation and recovering outputs that match the experimental data. Our results show that the VCBM, and its biphasic extension, provides insight into tumour growth and quantifies uncertainty in the switching time between the two phases of the biphasic growth model. We find this approach enables precise estimates for the time taken for a daughter cell to become a mature cell. This allows us to propose future refinements to the model to improve accuracy, whilst also making conclusions about the differences in cancer cell characteristics.
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Affiliation(s)
- Xiaoyu Wang
- School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD, Australia.
- Centre for Data Science, Queensland University of Technology, Brisbane, QLD, Australia.
| | - Adrianne L Jenner
- School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD, Australia
- Centre for Data Science, Queensland University of Technology, Brisbane, QLD, Australia
| | - Robert Salomone
- Centre for Data Science, Queensland University of Technology, Brisbane, QLD, Australia
- School of Computer Science, Queensland University of Technology, Brisbane, QLD, Australia
| | - David J Warne
- School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD, Australia
- Centre for Data Science, Queensland University of Technology, Brisbane, QLD, Australia
| | - Christopher Drovandi
- School of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD, Australia
- Centre for Data Science, Queensland University of Technology, Brisbane, QLD, Australia
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Gu Y, Cui S, Liu C, Zhao J, Li M, Li Y, Yang X, Lv B, Li M, Zhao W, Guo W, Huang J, Huang W, Qiu Z, Zhao J, Yin P, Qin T, Zhu D, Sun W, Ren K, Lu Y, Cheng X, Du L, Xiao F, Zhang Q, Wu Z. pUDK-HGF Gene Therapy to Relieve CLI Rest Pain and Ulcer: A Phase II, Double-Blind, Randomized Placebo-Controlled Trial. Hum Gene Ther 2021; 32:839-849. [PMID: 33726499 DOI: 10.1089/hum.2020.290] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023] Open
Abstract
This phase II clinical trial investigated the efficacy and safety of intramuscular injection of plasmid pUDK-HGF, which encodes the human hepatocyte growth factor gene in patients with critical limb ischemia. Resting pain patients (n = 119) and patients with leg ulcers (n = 121) were enrolled as two cohorts and randomized to receive pUDK-HGF treatment on days 0, 14, and 28. In the resting pain cohort, the proportion of patients with complete pain relief on day 180 after receiving pUDK-HGF injection, as the primary outcome, was significantly higher than that of the placebo group on the same day (p = 0.0148). More responders with >50% pain reduction were also observed in the pUDK-HGF groups than in the placebo groups (p = 0.0168). In the ulcer cohort of patients, pUDK-HGF treatment tended to be superior to the placebo in the percentage of patients with both complete ulcer healing and >50% ulcer healing. No significant differences in the incidence of adverse events (AEs) or serious AEs were observed among the groups. The mid-dose pUDK-HGF (6 mg) was the most efficacious, and is therefore an appropriate dose for use in a phase III clinical trial. This study was approved by the China Food and Drug Administration (2013L00637), China Clinical Trial Registry URL: www.chinadrugtrials.org.cn. Unique Identifier: 20130378.
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Affiliation(s)
- Yongquan Gu
- Vascular Surgery Department, Xuan Wu Hospital, Capital Medical University, Beijing, China
| | - Shijun Cui
- Vascular Surgery Department, Xuan Wu Hospital, Capital Medical University, Beijing, China
| | - Changjian Liu
- Vascular Surgery Department, Nanjin Drum Tower Hospital, Nanjing, China
| | - Jichun Zhao
- Vascular Surgery Department, West China Hospital, Sichuan University, Chengdu, China
| | - Ming Li
- Vascular Surgery Department, The First Affiliated Hospital of Medical School of Zhejiang University, Hangzhou, China
| | - Yiqing Li
- Vascular Surgery Department, Wuhan Union Hospital, Wuhan, China
| | - Xinglong Yang
- General Surgery Department, The First Affiliated Hospital of Nanchang University, Nanchang, China
| | - Bonan Lv
- General Surgery Department, Hebei General Hospital, Shijiazhuang, China
| | - Mingzhang Li
- General Surgery Department, Baotou Central Hospital, Baotou, China
| | - Wenguang Zhao
- Vascular Surgery Department, The First Bethune Hospital of Jilin University, Changchun, China
| | - Wei Guo
- Vascular Surgery Department, Chinese PLA General Hospital, Beijing, China
| | - Jianhua Huang
- Vascular Surgery Department, Xiangya Hospital Central South University, Changsha, China
| | - Wen Huang
- Vascular Surgery Department, The First Affiliated Hospital of Chongqin Medical University, Chongqing, China
| | - Zhenming Qiu
- General Surgery Department, Taizhou Hospital of Zhejiang Province, Linhai, China
| | - Jun Zhao
- General Surgery Department, Shanghai Sixth People's Hospital Affiliated to Shanghai JiaoTong University, Shanghai, China
| | - Ping Yin
- School of Public Health, Tongji Medical College, Huazhong University of Science and Technology, Wuhan, China
| | - Tingting Qin
- School of Public Health, Tongji Medical College, Huazhong University of Science and Technology, Wuhan, China
| | - Dan Zhu
- Humanwell Healthcare (Group) Co. Ltd., Wuhan, China
| | - Wenjie Sun
- Humanwell Healthcare (Group) Co. Ltd., Wuhan, China
| | - Keyun Ren
- Humanwell Healthcare (Group) Co. Ltd., Wuhan, China
| | - Yuxin Lu
- Department of Experimental Hematology and Biochemistry, Beijing Institute of Radiation Medicine, Beijing, China
| | - Xiaochen Cheng
- Department of Experimental Hematology and Biochemistry, Beijing Institute of Radiation Medicine, Beijing, China
| | - Li Du
- Department of Experimental Hematology and Biochemistry, Beijing Institute of Radiation Medicine, Beijing, China
| | - Fengjun Xiao
- Department of Experimental Hematology and Biochemistry, Beijing Institute of Radiation Medicine, Beijing, China
| | - Qinglin Zhang
- Department of Experimental Hematology and Biochemistry, Beijing Institute of Radiation Medicine, Beijing, China
| | - Zuze Wu
- Department of Experimental Hematology and Biochemistry, Beijing Institute of Radiation Medicine, Beijing, China
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Konstorum A, Lowengrub JS. Activation of the HGF/c-Met axis in the tumor microenvironment: A multispecies model. J Theor Biol 2017; 439:86-99. [PMID: 29203124 DOI: 10.1016/j.jtbi.2017.11.025] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/30/2017] [Revised: 10/24/2017] [Accepted: 11/30/2017] [Indexed: 02/06/2023]
Abstract
The tumor microenvironment is an integral component in promoting tumor development. Cancer-associated fibroblasts (CAFs), which reside in the tumor stroma, produce Hepatocyte Growth Factor (HGF), an important trigger for invasive and metastatic tumor behavior. HGF contributes to a pro-tumorigenic environment by activating its cognate receptor, c-Met, on tumor cells. Tumor cells, in turn, secrete growth factors that upregulate HGF production in CAFs, thereby establishing a dynamic tumor-host signaling program. Using a spatiotemporal multispecies model of tumor growth, we investigate how the development and spread of a tumor is impacted by the initiation of a dynamic interaction between tumor-derived growth factors and CAF-derived HGF. We show that establishment of such an interaction results in increased tumor growth and morphological instability, the latter due in part to increased cell species heterogeneity at the tumor-host boundary. Invasive behavior is further increased if the tumor lowers responsiveness to paracrine pro-differentiation signals, which is a hallmark of neoplastic development. By modeling anti-HGF and anti-c-Met therapy, we show how disruption of the HGF/c-Met axis can reduce tumor invasiveness and growth, thereby providing theoretical evidence that targeting tumor-microenvironment interactions is a promising avenue for therapeutic development.
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Affiliation(s)
- Anna Konstorum
- Center for Quantitative Medicine, UConn Health, Farmington, CT, USA.
| | - John S Lowengrub
- Department of Mathematics, University of California, Irvine, CA, USA; Center for Complex Biological Systems, University of California, Irvine, CA, USA; Department of Biomedical Engineering, University of California, Irvine, CA, USA; Chao Family Comprehensive Cancer Center, University of California, Irvine, USA.
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Kessler JA, Smith AG, Cha BS, Choi SH, Wymer J, Shaibani A, Ajroud-Driss S, Vinik A. Double-blind, placebo-controlled study of HGF gene therapy in diabetic neuropathy. Ann Clin Transl Neurol 2015; 2:465-78. [PMID: 26000320 PMCID: PMC4435702 DOI: 10.1002/acn3.186] [Citation(s) in RCA: 55] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/29/2015] [Accepted: 02/02/2015] [Indexed: 12/11/2022] Open
Abstract
OBJECTIVE To evaluate the safety and efficacy of a plasmid (VM202) containing two human hepatocyte growth factor isoforms given by intramuscular injections in patients with painful diabetic neuropathy. METHODS In a double-blind, placebo-controlled study, patients were randomized to receive injections of 8 or 16 mg VM202 per leg or placebo. Divided doses were administered on Day 0 and Day 14. The prospective primary outcome was change in the mean pain score measured by a 7 day pain diary. Secondary outcomes included a responder analysis, quality of life and pain measures, and intraepidermal nerve fiber density. RESULTS There were no significant adverse events attributable to VM202. Eighty-four patients completed the study. Patients receiving 8 mg VM202 per leg improved the most in all efficacy measures including a significant (P = 0.03) reduction at 3 months in the mean pain score and continued but not statistically significant reductions in pain at 6 and 9 months. Of these patients, 48.4% experienced a ≥50% reduction in pain compared to 17.6% of placebo patients. There were also significant improvements in the brief pain inventory for patients with diabetic peripheral neuropathy and the questionnaire portion of the Michigan Neuropathy Screening Instrument. Patients not on pregabalin or gabapentin had the largest reductions in pain. INTERPRETATION VM202 was safe, well tolerated and effective indicating the feasibility of a nonviral gene therapy approach to painful diabetic neuropathy. Two days of treatment were sufficient to provide symptomatic relief with improvement in quality of life for 3 months. VM202 may be particularly beneficial for patients not taking gabapentin or pregabalin.
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Affiliation(s)
| | | | - Bong-Soo Cha
- Yonsei University College of Medicine Severence Hospital Seoul, South Korea
| | - Sung Hee Choi
- Seoul National University Bundang Hospital Seoul, South Korea
| | | | | | | | - Aaron Vinik
- Eastern Virginia Medical School Norfolk, Virginia
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