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Use of Saline Injection to Create Large Thermal Lesions During Radio Frequency Ablation Therapy: 2. Experimental Results 在射频消融治疗中使用生理盐水注射产生大的热损伤:实验结果
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/htd-24427
L. P. Silver, P. Hamilton, Angela C. Ni, R. Aimi, M. Curley
Tissue charring during radio frequency (RF) therapy causes an impedance rise and prevents further tissue heating from occurring, thereby limiting the size of lesions that can be created. The ability to create very large lesions would provide minimally invasive treatment options for deep tissue left ventricular arrythmias and otherwise-untreatable large liver tumors. Adding convection as a method of heat transfer by injecting saline at the RF electrode site acts to both clamp the electrode/tissue interface temperature and carry energy deeper into the tissue. We have developed a RF system that uses both conduction and convection simultaneously to both enhance the amount of heat transfer and prevent or greatly delay the onset of charring. Here we confirm the heat transfer augmentation of convection with experimental results in skeletal muscle, liver, and myocardium.
射频(RF)治疗过程中的组织炭化会导致阻抗上升,并防止进一步的组织加热发生,从而限制了可能产生的病变的大小。这种制造巨大病变的能力将为深层组织左心室心律失常和其他无法治疗的大肝肿瘤提供微创治疗选择。通过在射频电极位置注入生理盐水来增加对流作为传热方法,既可以控制电极/组织界面温度,又可以将能量带入组织的深处。我们开发了一种射频系统,同时使用传导和对流来增强传热量,防止或大大延迟炭化的发生。本文用骨骼肌、肝脏和心肌的实验结果证实了对流对传热的增强作用。
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引用次数: 0
Numerical Model Study of the Field of View and Temporal Response of the Infrared Sense Organ in Crotaline Pit Vipers 红腹蝮蛇红外感觉器官视场及时间响应的数值模型研究
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/htd-24422
J. Pearce, A. Schmitz
The IR sensitive membrane of the Crotaline pit organ was modeled numerically to help interpret electrophysiologic measurements of the pit organ response to a calibrated infrared source simulating a biological target. The model results are compared to electrophysiologic measurements for an on-axis exposure (target normal to the pit organ axis, oriented for maximum response). Additional model studies were conducted to: 1) estimate the field of view of the pit organ and 2) estimate the expected temperature rise in the membrane from the target at varying distances. The pit organ model was based on detailed measurements of its geometry. The membrane illumination irradiance difference from background thermal radiation (in W/mm2) was calculated from a quasi-analytical solution for the radiation coupling factor, Fjj. The illumination function was used to estimate temperature rise neglecting infrared heat transfer between the membrane and surrounding pit organ tissues. That is, the membrane was assumed in thermal steady state with the snake body and the environment outside of the target. The mammalian target is thus assumed to represent a small perturbation to the thermal steady state condition. This matches the electrophysiologic data, and is reasonable since the snake is cold blooded and snake body temperature is very close to its surroundings. The membrane includes blood flow effects, but it turns out that the membrane blood flow is strictly capillary in nature and changes the effective lateral thermal conductivity rather than providing significant heat transfer. The membrane is “optically thin”, being only about 5 wavelengths in thickness, and the specific optical properties of the interior layers were estimated from relative water content.
对Crotaline坑器官的红外敏感膜进行了数值模拟,以帮助解释坑器官对模拟生物靶标的校准红外源响应的电生理测量。将模型结果与轴上暴露的电生理测量结果进行比较(目标与坑器官轴正常,定向以获得最大响应)。进行了额外的模型研究,以:(1)估计坑器官的视野;(2)估计不同距离下靶膜的预期温升。坑风琴模型是基于对其几何形状的详细测量。根据辐射耦合因子Fjj的准解析解,计算了膜照度与背景热辐射的差值(单位:W/mm2)。采用照度函数计算温升,忽略膜与周围坑穴器官组织之间的红外传热。即假设膜与蛇体和靶外环境处于热稳态。因此,假定哺乳动物目标代表对热稳态条件的一个小扰动。这与电生理数据相匹配,这是合理的,因为蛇是冷血动物,蛇的体温与周围环境非常接近。膜包括血流效应,但事实证明,膜血流本质上是严格的毛细血管流动,改变了有效的侧向导热系数,而不是提供显著的传热。该膜是“光学薄”的,厚度只有大约5个波长,内层的特定光学性质是通过相对含水量来估计的。
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引用次数: 0
A Case Study of Hyperthermia Induced Temperature Computations in Human Sarcomas Using Discrete Vasculature and Relative Perfusion Maps 使用离散脉管系统和相对灌注图计算人肉瘤热疗诱导温度的案例研究
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/htd-24417
O. Craciunescu, B. Raaymakers, A. Kotte, Shiva K. Das, T. Samulski, J. Lagendijk
One of the most important technical aspects in clinical hyperthermia is the ability to measure and/or simulate the 3D temperature fields. Related to that, an essential part is the way in which the complex heat transfer related to vasculature is described. We report here the results of a collaboration between the hyperthermia modeling groups from the UMC Utrecht, The Netherlands, and Duke UMC, USA. Utrecht’s hyperthermia group has developed a flexible, discrete vasculature thermal model (DIVA) (Kotte et al. 1996) that describes the heat transfer related to discrete vasculature. The vasculature was imaged using MR angiography. To account for the smaller vessels that are responsible for the significant bioheat transport, relative perfusion maps measured at Duke using dynamic enhanced-magnetic resonance imaging were used. Alternatively, the VAMP program (Van Leeuwen et al. 1998) was used to artificially generate smaller vasculature. The cases with discretized vasculature were compared to continuum models where either heterogeneous isotropic perfusion, or relative perfusion maps were used. All simulations were compared to MR thermometry data. The conclusion is that for tumors crossed by or near large vessels, a combination of large vessels discretization and perfusion maps yields temperatures that match very well the MR thermometry data.
临床热疗中最重要的技术方面之一是测量和/或模拟三维温度场的能力。与此相关的一个重要部分是描述与脉管系统有关的复杂传热的方式。我们在此报告来自荷兰乌得勒支UMC和美国杜克UMC的热疗模型组之间合作的结果。Utrecht的热疗小组开发了一种灵活的离散脉管热模型(DIVA) (Kotte et al. 1996),描述了与离散脉管系统相关的热传递。血管造影采用MR血管造影。为了解释负责重要生物热传输的较小血管,使用杜克大学使用动态增强磁共振成像测量的相对灌注图。或者,使用VAMP程序(Van Leeuwen et al. 1998)人工生成更小的脉管系统。将离散化血管的病例与连续模型进行比较,在连续模型中,使用异质各向同性灌注或相对灌注图。所有模拟都与MR测温数据进行了比较。结论是,对于由大血管穿过或靠近大血管的肿瘤,大血管离散化和灌注图的结合产生的温度与MR测温数据非常吻合。
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引用次数: 0
Effect of Time-Dependent Boundary Conditions on Epidermal Tissue Damage During Port Wine Stain Laser Surgery 时变边界条件对葡萄酒斑激光手术中表皮组织损伤的影响
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/htd-24419
G. Aguilar, S. Valdes, J. Nelson, E. Lavernia
Port wine stain (PWS) birthmarks are a congenital and progressive vascular malformation of the dermis, involving capillaries, which occurs in approximately 0.7% of children. The objective of laser surgery for this and similar conditions is to cause selective thermal damage, thrombosis, and, eventually, permanent photocoagulation in the PWS vessels. To achieve this, the radiated laser light is set at a specific wavelength, which is highly absorbed by the blood vessels’ hemoglobin (the major chromophore in blood). Unfortunately, the PWS vessels do not absorb all energy radiated — a significant amount is also absorbed by hemoglobin in the ectatic capillaries of the upper dermis. This unwanted absorption causes two problems: firstly, insufficient heat generation within the targeted vessels leads to poor clinical results, and, secondly, there is an increased risk of damage to the overlying epidermis. In current PWS laser therapy, cryogen spray cooling (CSC) is used effectively to cool and protect selectively the epidermis (tens of micrometers thick) prior to the laser pulse, while minimally cooling the blood vessels. The thermal response of the system is characterized by time and/or temperature dependent boundary conditions. However, in many recent studies, the boundary conditions induced by CSC are regarded as constant. In the present work we study the effects of time-dependent boundary conditions on the overall epidermal thermal damage after PWS laser therapy. We use computer models to simulate the laser light distribution, heat diffusion, and tissue damage, and introduce experimentally determined time-dependent boundary conditions measured for custom-made and commercial atomizing nozzles. We show that time-dependent boundary conditions have a significant effect in the optimal laser dose required to induce photocoagulation of PWS blood vessels while preserving the epidermis.
葡萄酒色斑(PWS)胎记是一种先天性进行性真皮血管畸形,累及毛细血管,约0.7%的儿童发生。对于这种情况和类似情况,激光手术的目的是在PWS血管中造成选择性热损伤、血栓形成,并最终导致永久性光凝。为了达到这个目的,辐射的激光被设定在一个特定的波长,这个波长被血管的血红蛋白(血液中的主要发色团)高度吸收。不幸的是,PWS血管并不能吸收所有辐射的能量——相当一部分能量也被真皮上部扩张毛细血管中的血红蛋白吸收。这种不必要的吸收导致两个问题:首先,目标血管内产生的热量不足导致临床结果不佳;其次,对上覆表皮的损伤风险增加。在目前的PWS激光治疗中,在激光脉冲之前,冷冻剂喷雾冷却(CSC)被有效地用于冷却和选择性地保护表皮(几十微米厚),同时最小限度地冷却血管。系统的热响应以时间和/或温度相关的边界条件为特征。然而,在最近的许多研究中,CSC诱导的边界条件被认为是恒定的。在本工作中,我们研究了随时间变化的边界条件对PWS激光治疗后表皮整体热损伤的影响。我们使用计算机模型来模拟激光光分布、热扩散和组织损伤,并引入实验确定的随时间变化的边界条件,测量定制和商业雾化喷嘴。我们发现,时间依赖的边界条件对诱导PWS血管光凝同时保护表皮所需的最佳激光剂量有显著影响。
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引用次数: 1
Flow Dynamics During Machine Perfusion Preservation of Livers 机器灌注保存过程中肝脏的血流动力学
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/htd-24423
Saurin P. Purohit, Joshua Nelson, Jian X. Zhang, M. Clemens, Charles Y. Lee
Hypothermic machine perfusion preservation (MPP) has the potential to relieve the current donor shortage problem by providing superior preserved tissue and viable non-heart-beating donor tissue. For the liver, MPP has not improved preservation. Currently, the major cause of damage associated with MPP of livers is unknown. An intravital microscopy study was conducted to investigate the state of sinusoidal perfusion during 24-hour MPP. Fluorescein isothiocynate (FITC)-labeled albumin was utilized to mark the microvascular space while FITC-labeled red blood cells were used to determine the fluid velocity. The results showed that there was an increase in vascular resistance (> 275%) when the liver was perfused with a UW solution for 24 hours at 5°C and with a flow rate of 5 ml/min. This vascular resistance further increased (> 425%) during rewarming (for 1 hour, at 37°C and 15 ml/min). The mean flow velocities increased during initial MPP from 236 ±16 μm/s (mean ± standard error) to 434 ± 20 μm/s and the mean shear stress values increased from 5.3 ± 0.8 dynes/cm2 to 6.5 ± 0.8 dynes/cm2, after 24 hours of MPP the mean flow velocity values and shear stress values decreased (223 ± 13 μm/s and 3.3 ± 0.8 dynes/cm2) respectively. The reason for this was detected by the FITC-labeled albumin, in the tissue. It was evident that these areas (after 24 hours of MPP) also displayed increased blockage. It also appeared from the micrographs and the histology study that the blockage occurred as a result of endothelial cells rounding after 24 hours of MPP. The cells remained rounded even after rewarming the tissue. This could be a mechanism of damage to the liver during 24-hour of MPP.
低温机器灌注保存(MPP)有可能通过提供优质的保存组织和有活力的非心脏跳动供体组织来缓解目前供体短缺的问题。对于肝脏,MPP没有改善保存。目前,肝脏MPP损伤的主要原因尚不清楚。通过活体显微镜研究24小时MPP期间的窦血流灌注状态。用异硫辛酸荧光素(FITC)标记的白蛋白标记微血管空间,用FITC标记的红细胞测定流体速度。结果表明,UW溶液在5℃条件下,以5 ml/min流速灌注肝脏24小时,血管阻力增加(bbb275%)。在37°C, 15 ml/min下加热1小时时,血管阻力进一步增加(> 425%)。MPP初期平均流速由236±16 μm/s(平均值±标准误差)增加到434±20 μm/s,平均剪应力由5.3±0.8 dynes/cm2增加到6.5±0.8 dynes/cm2, MPP 24 h后平均流速和剪应力分别下降到223±13 μm/s和3.3±0.8 dynes/cm2。其原因是通过组织中fitc标记的白蛋白检测到的。很明显,这些区域(MPP 24小时后)也显示出堵塞增加。显微照片和组织学研究也显示,阻塞是由于内皮细胞在MPP 24小时后形成的。即使在重新加热组织后,细胞仍保持圆形。这可能是24小时MPP期间肝脏损伤的一种机制。
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引用次数: 1
Modeling the Thermal Histories of Collagenous Tissues Subjected to Different Heating Modalities 胶原组织在不同加热方式下的热历史建模
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/htd-24433
A. Aksan, David S. Nielubowicz, J. Mcgrath
Application of sub-ablative levels of heat to collagenous tissues causes helix-to-coil transformation in the collagen microstructure resulting in overall tissue shrinkage. This phenomenon has important therapeutic applications in medicine, such as thermokeratoplasty, treatment of shoulder, knee and ankle instabilities and treatment of chronic discogenic lumbar pain associated with herniated discs. During the therapy, heat is applied arthroscopically by a laser or a radio-frequency probe (bipolar or monopolar). The amount and permanence of shrinkage established in the tissue is a function of the maximum temperature reached and the exposure time as well as the mechanical stress applied on the tissue during heating. Therefore, the thermal and mechanical history that the tissue experiences is a major factor determining its response and long-term mechanical stability. These are the defining factors for the success of the therapy. It is hypothesized in this study that there are significant differences between the thermal histories created in the tissue by different heating modalities owing to the differences between their modes of action. The solutions to the temperature distributions created by these different heating modalities — laser and radiofrequency applied with a bipolar and a monopolar probe — are compared and parameters of clinical significance are discussed.
对胶原组织施加亚烧蚀水平的热量会导致胶原微观结构中的螺旋到线圈的转变,从而导致整体组织收缩。这种现象在医学上有重要的治疗应用,如热角膜移植术,治疗肩、膝和踝关节不稳定以及治疗与椎间盘突出相关的慢性椎间盘源性腰痛。在治疗期间,通过激光或射频探头(双极或单极)在关节镜下加热。在组织中建立的收缩量和持久性是达到的最高温度和暴露时间以及在加热过程中施加在组织上的机械应力的函数。因此,组织所经历的热力学历史是决定其响应和长期力学稳定性的主要因素。这些都是治疗成功的决定性因素。在本研究中假设,由于不同的加热方式之间的作用模式的差异,在组织中产生的热历史之间存在显着差异。本文比较了不同加热方式(激光和射频,双极探针和单极探针)产生的温度分布的解决方案,并讨论了临床意义的参数。
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引用次数: 1
Temperature Difference Between the Body Core and the Arterial Blood Supplied to the Brain During Hyperthermia or Hypothermia 体温过高或过低时,身体核心与供给脑部的动脉血之间的温差
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/htd-24418
Liang Zhu, Maithreyi Bommadevara
In this study a theoretical model was developed to evaluate the temperature difference between the body core and the arterial blood supplied to the brain. Several factors including the local blood perfusion rate, blood vessel bifurcation in the neck, and blood vessel pairs on both sides of the neck were considered in the model. The theoretical approach was used to estimate the potential for cooling of blood in the carotid artery on its way to the brain by heat exchange with its countercurrent jugular vein and by the radial heat conduction loss to the cool neck surface. It shows that blood temperature along the common and internal carotid arteries typically decreases up to 0.86°C during hyperthermia. Selectively cooling the neck surface during hypothermia increases the heat loss from the carotid arteries and results in approximately 1.2°C in the carotid arterial temperature. This research could provide indirect evidence of the existence of selective brain cooling (SBC) in humans during hyperthermia. The simulated results can also be used to evaluate the feasibility of lowering brain temperature effectively by selectively cooling the head and neck surface during hypothermia treatment for brain injury or multiple sclerosis.
在这项研究中,建立了一个理论模型来评估身体核心和供应给大脑的动脉血之间的温差。模型考虑了局部血流灌注率、颈部血管分叉、颈部两侧血管对等因素。该理论方法用于估计颈动脉血液在通往大脑的途中通过与颈静脉逆流的热交换和颈部表面的径向热传导损失来冷却血液的潜力。研究表明,在热疗期间,沿颈总动脉和颈内动脉的血液温度通常会降低0.86°C。在低温过程中选择性地冷却颈部表面会增加颈动脉的热量损失,导致颈动脉温度升高约1.2°C。这项研究可能为人类在高温下存在选择性脑冷却(SBC)提供间接证据。模拟结果也可用于评估在脑损伤或多发性硬化症的低温治疗中,通过选择性冷却头颈部表面有效降低脑温度的可行性。
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引用次数: 0
In Vitro Assessment of the Efficacy of Thermal Therapy in Human Benign Prostatic Hyperplasia Tissue 热疗对人良性前列腺增生组织的体外疗效评价
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/htd-24434
S. Bhowmick, P. Bhowmick, J. Coad, J. Bischof
Correlation between thermal history and tissue destruction is of considerable importance for successful management of BPH using minimally invasive thermal therapies such as radiofrequency or microwave probes. In order to accomplish this goal, the present in vitro study assesses the cellular viability of BPH tissue subjected to different temperature-times in an experimental matrix. Hyperplastic prostatic tissue was obtained from 8 patients after the surgical removal of the glands for other reasons (typically cancer). A piece of tissue was taken from the lateral lobe of the gland and was then sectioned into multiple thin strips (1mm thick), placed on a coverslip and heated on a thermally controlled copper block to various temperatures (45°C-70°C) for various times (1 minute–60 minutes). After heat treatment, the tissue slices were cultured for 72 hours and viability data was obtained using two independent assays: histology and dye uptake. Results indicate that the hyperplastic prostate tissue showed a progressive histologic increase in irreversible stromal tissue injury with increasing temperature-time severity. A small amount (∼5% or less) of stromal apoptosis was found in the control and mildly treated tissue. Dye uptake studies for stromal viability paralleled the histologic findings for the temperature-time combinations explored in the present study. In vitro thermal injury thresholds for 90% destruction of human BPH tissue were identified at 45°C-60min, 55°C-20min, 60°C-5min and 70°C-2 min. The Arrhenius model of injury was fit to the viability data after controlled heating to obtain parameters that will allow the prediction of injury under variable heating conditions. Arrhenius analysis of both assays showed a break point at 60°C based on 90% normalized survival. The activation energy (E) values for temperatures below and above the break point were 199.05 and 66.04 kJ/mole for the dye uptake study and 162.6 and 62.99 kJ/mole for histology. The corresponding frequency factor (A) values below and above the break point were 1.81 × 1030 and 1.82 × 109 s−1 for dye uptake study and 2.84 × 1024 and 6.64 × 108 s−1 for histology. This study is the first to report Arrhenius parameters for human BPH tissue for supraphysiological thermal therapy and will be useful for prediction of tissue destruction during thermal therapy of BPH in the clinic.
热历史和组织破坏之间的相关性对于使用射频或微波探针等微创热疗法成功治疗BPH具有相当重要的意义。为了实现这一目标,目前的体外研究评估了BPH组织在实验基质中受到不同温度时间的细胞活力。8例患者因其他原因(典型为癌症)手术切除腺体后获得增生前列腺组织。从腺体外侧叶取一块组织,然后切片成多个薄条(1mm厚),放在盖盖上,在热控铜块上加热到不同温度(45°C-70°C)不同时间(1分钟- 60分钟)。热处理后,组织切片培养72小时,通过组织学和染料摄取两项独立检测获得活力数据。结果表明,随着温度-时间严重程度的增加,增生性前列腺组织不可逆性间质组织损伤呈进行性组织学增加。在对照组和轻度处理的组织中发现少量(~ 5%或更少)间质凋亡。基质活力的染料摄取研究与本研究中探索的温度-时间组合的组织学结果相一致。在45°C-60min、55°C-20min、60°C-5min和70°C-2 min条件下,确定体外热损伤阈值,使BPH组织破坏90%。将Arrhenius损伤模型与控制加热后的生存能力数据拟合,以获得可预测不同加热条件下损伤的参数。两种试验的阿伦尼乌斯分析显示,在60°C时,90%的标准化存活率为断点。对于染料摄取研究,温度低于和高于断点的活化能(E)值分别为199.05和66.04 kJ/mol,对于组织学研究,活化能(E)值分别为162.6和62.99 kJ/mol。相应的频率因子(A)值在断点以下和以上,染料摄取研究为1.81 × 1030和1.82 × 109 s−1,组织学为2.84 × 1024和6.64 × 108 s−1。本研究首次报道了人类BPH组织在超生理热疗中的Arrhenius参数,将有助于临床预测BPH热疗过程中组织的破坏。
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引用次数: 2
Effect of Freezing on Cell Viability and Mechanical Strength of Bioartificial Tissues 冷冻对生物人工组织细胞活力和机械强度的影响
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/htd-24431
R. Devireddy, M. Neidert, J. Bischof, R. Tranquille
The effect of freezing on the viability and mechanical strength of bioartificial tissues was determined under a variety of cooling conditions, with the ultimate aim of optimizing the cryopreservation process. Bioartificial tissues (i.e. tissue-equivalents or TEs) were prepared by incubating entrapped human foreskin fibroblasts in collagen gels for a period of 2 weeks. The bioartificial tissues were frozen using a controlled rate freezer at various cooling rates (0.5, 2, 5, 20, 40 and > 1000°C/min or slam freezing). The viability (< 60 min after thawing) of the fibroblasts in the bioartificial tissue was assessed using the Ethidium Homodimer (dead cells stain red) and Hoechst Give cells stain blue) assay. Uniaxial tension experiments were performed on an MTS Microbionix System (Eden Prairie, MN) to assess the post-thaw mechanical properties (Maximum Stiffness; Ultimate Tensile Stress; and Strain to Failure) of the frozen-thawed bioartificial tissue (≤ 3 hours after thawing). The results suggest that cooling rates of either 2 or 5°C/min are optimal for preserving both the cell viability and mechanical properties of the bioartificial tissues, post-freeze. Bioartificial tissues were also frozen using a directional solidification stage at 5°C/min. The post-thaw viability results are comparable in both the directionally cooled and the controlled rate freezer samples. However, the mechanical properties of the directionally cooled samples are significantly different (with a higher maximum stiffness and a lower strain to failure) than those obtained for samples frozen using a controlled rate freezer. This suggests that the directionality of ice propagation into the sample affects the measured mechanical properties.
研究了不同冷却条件下冷冻对生物人工组织活力和机械强度的影响,以优化冷冻保存工艺。将包埋的人包皮成纤维细胞在胶原凝胶中孵育2周,制备生物人工组织(即组织当量或te)。生物人工组织在不同冷却速率(0.5、2、5、20、40和> 1000°C/min或快速冷冻)下使用控制速率冷冻机冷冻。使用Ethidium Homodimer(死细胞染色红色)和Hoechst Give细胞染色蓝色)法评估生物人工组织中成纤维细胞的活力(解冻后< 60 min)。在MTS Microbionix系统(Eden Prairie, MN)上进行单轴拉伸实验,以评估解冻后的力学性能(最大刚度;极限拉应力;和应变至失效)(解冻后≤3小时)。结果表明,冷冻后,2°C或5°C/min的冷却速率对于保存生物人工组织的细胞活力和机械性能都是最佳的。生物人工组织也采用定向凝固阶段在5°C/min冷冻。在定向冷却和控制速率冷冻的样品中,解冻后的活力结果是相当的。然而,定向冷却样品的力学性能明显不同(具有更高的最大刚度和更低的失效应变),而不是使用控制速率冷冻器冷冻的样品。这表明冰在试样中传播的方向性影响了所测得的力学性能。
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引用次数: 0
A Neoclassical Growth Model for Population Dynamics in a Homogeneous Habitat 均一生境中种群动态的新古典增长模型
Pub Date : 2001-11-11 DOI: 10.1115/imece2001/htd-24415
P. Vadasz, A. S. Vadasz
A neoclassical model is proposed for the growth of cell and other populations in a homogeneous habitat. The model extends on the Logistic Growth Model (LGM) in a non-trivial way in order to address the cases where the Logistic Growth Model (LGM) fails short in recovering qualitative as well as quantitative features that appear in experimental data. These features include in some cases overshooting and oscillations, in others the existence of a “Lag Phase” at the initial growth stages, as well as an inflection point in the “In curve” of the population size. The proposed neoclassical model recovers also the Logistic Growth Curve as a special case. Comparisons of the solutions obtained from the proposed neoclassical model with experimental data confirm its quantitative validity, as well as its ability to recover a wide range of qualitative features captured in experiments.
提出了细胞和其他种群在均匀生境中生长的新古典模型。该模型以一种非平凡的方式扩展了Logistic增长模型(LGM),以解决Logistic增长模型(LGM)无法恢复实验数据中出现的定性和定量特征的情况。这些特征包括在某些情况下的超调和振荡,在其他情况下,在初始增长阶段存在“滞后阶段”,以及在人口规模的“in曲线”上存在拐点。提出的新古典模型也恢复了Logistic增长曲线作为一个特例。将提出的新古典模型的解与实验数据进行比较,证实了其定量有效性,以及恢复实验中捕获的广泛定性特征的能力。
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引用次数: 0
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