Numerical simulation of selective freezing of target biological tissues following injection of solutions with specific thermal properties

Recently, we proposed a method for controlling the extent of freezing during cryosurgery by percutaneously injecting some solutions with particular thermal properties into the target tissues. In order to better understand the mechanism of the enhancement of freezing by these injections, a new numerical algorithm was developed to simulate the corresponding heat transfer process that is involved. The three-dimensional phase change processes in biological tissues subjected to cryoprobe freezing, with or without injection, were compared numerically. Two specific cases were investigated to illustrate the selective freezing method: the injection of solutions with high thermal conductivity; the injection of solutions with low latent heat. It was found that the localized injection of such solutions could significantly enhance the freezing effect and decrease the lowest temperature in the target tissues. The result also suggests that the injection of these solutions may be a feasible and flexible way to control the size of the ice ball and its direction of growth during cryosurgery, which will help to optimize the treatment process.     

An analytical study of cryosurgery in the lung.

The process of freezing in healthy lung tissue and in tumors in the lung during cryosurgery was modeled using one-dimensional close form techniques and finite difference techniques to determine the temperature profiles and the propagation of the freezing interface in the tissue. A thermal phenomenon was observed during freezing of lung tumors embedded in healthy tissue, (a) the freezing interface suddenly accelerates at the transition between the tumor and the healthy lung, (b) the frozen tumor temperature drops to low values once the freezing interface moves into the healthy lung, and (c) the outer boundary temperature has a point of sharp inflection corresponding to the time at which the tumor is completely frozen.     

Humoral immunity following double-freezing of the prostate in patients with prostatic cancer

In these studies, 10 patients with a confirmed histological diagnosis of stage C and D carcinoma underwent double-freezing of the prostate. The clinical courses in the first group (five patients) were favorable. In the second group (two patients), death by cachexia occurred due to the cancer. In the third group (three patients), death 4 weeks after the second cryosurgery suggests the effects of cryoshock. In the first and second groups, the results of the immunological examinations after the second freezing did not attain the predicted levels. Comparing the results of the third group with those of the first and second groups the primary differences was that the percentages of gamma-globulins and IgE were higher in the third group preoperatively. These findings suggest that patients with high percentages of gamma-globulin and high IgE levels are contraindicated for cryosurgery of the prostate.     

Cryosurgery with pulsed electric fields

This study explores the hypothesis that combining the minimally invasive surgical techniques of cryosurgery and pulsed electric fields will eliminate some of the major disadvantages of these techniques while retaining their advantages. Cryosurgery, tissue ablation by freezing, is a well-established minimally invasive surgical technique. One disadvantage of cryosurgery concerns the mechanism of cell death; cells at high subzero temperature on the outer rim of the frozen lesion can survive. Pulsed electric fields (PEF) are another minimally invasive surgical technique in which high strength and very rapid electric pulses are delivered across cells to permeabilize the cell membrane for applications such as gene delivery, electrochemotherapy and irreversible electroporation. The very short time scale of the electric pulses is disadvantageous because it does not facilitate real time control over the procedure. We hypothesize that applying the electric pulses during the cryosurgical procedure in such a way that the electric field vector is parallel to the heat flux vector will have the effect of confining the electric fields to the frozen/cold region of tissue, thereby ablating the cells that survive freezing while facilitating controlled use of the PEF in the cold confined region. A finite element analysis of the electric field and heat conduction equations during simultaneous tissue treatment with cryosurgery and PEF (cryosurgery/PEF) was used to study the effect of tissue freezing on electric fields. The study yielded motivating results. Because of decreased electrical conductivity in the frozen/cooled tissue, it experienced temperature induced magnified electric fields in comparison to PEF delivered to the unfrozen tissue control. This suggests that freezing/cooling confines and magnifies the electric fields to those regions; a targeting capability unattainable in traditional PEF. This analysis shows how temperature induced magnified and focused PEFs could be used to ablate cells in the high subzero freezing region of a cryosurgical lesion.     

Two-phase computerized planning of cryosurgery using bubble-packing and force-field analogy

BACKGROUND: Cryosurgery is the destruction of undesired tissues by freezing, as in prostate cryosurgery, for example. Minimally invasive cryosurgery is currently performed by means of an array of cryoprobes, each in the shape of a long hypodermic needle. The optimal arrangement of the cryoprobes, which is known to have a dramatic effect on the quality of the cryoprocedure, remains an art held by the cryosurgeon, based on the cryosurgeon's experience and "rules of thumb." An automated computerized technique for cryosurgery planning is the subject matter of the current paper, in an effort to improve the quality of cryosurgery. METHOD OF APPROACH: A two-phase optimization method is proposed for this purpose, based on two previous and independent developments by this research team. Phase I is based on a bubble-packing method, previously used as an efficient method for finite element meshing. Phase II is based on a force-field analogy method, which has proven to be robust at the expense of a typically long runtime. RESULTS: As a proof-of-concept, results are demonstrated on a two-dimensional case of a prostate cross section. The major contribution of this study is to affirm that in many instances cryosurgery planning can be performed without extremely expensive simulations of bioheat transfer, achieved in Phase I. CONCLUSIONS: This new method of planning has proven to reduce planning runtime from hours to minutes, making automated planning practical in a clinical time frame.     

Cancer cryotherapy: evolution and biology

Since the inception of cryosurgery in the 1850s, landmark advances in chemistry, physics, materials science, and biology have culminated in the sophisticated cryosurgical devices currently in use. Effective cryosurgical tissue injury depends on four criteria: 1) excellent monitoring of the process; 2) fast cooling to a lethal temperature; 3) slow thawing; and 4) repetition of the freeze-thaw cycle. Meeting these criteria depends on understanding the imaging technology used to visualize the iceball, the type of cryogen used, the size of the probe, and probe arrangement. Third-generation cryosurgical equipment offers advantages over previous designs. These machines rely on argon for freezing but also use helium to warm probes and accelerate the treatment process, and they offer additional safety by being able to rapidly arrest iceball formation. Metallurgic advances have led to the development of thinner probes, which have been easily adapted to perineal templates similar to those used for prostate brachytherapy.     

An in vitro monitoring system for simulated thermal process in cryosurgery

This paper describes a new in vitro experimental model that records temperature changes over a culture plate, which then can be used to assess the biological effects of cryosurgery. A cryoprobe and 16 thermocouples set up by a computer control system were used to monitor the temperature changes during freezing and thawing in a culture plate, and the data were used to create a temperature profile of the entire plate. Location of the thermocouples was confirmed by a digital camera viewing from under the plate, and temperature changes at any point in the interpolated areas were estimated using a curve fitting method. The estimated temperature was checked by sampling with four additional randomly placed thermocouples. Linear regression analysis showed that the estimated temperature and measured temperature were very close (correlation coefficients 0.98-0.99). MBT-2 tumor cells were cultured and then subjected to simulated cryosurgery. The surviving cells were stained with crystal violet and the cell death boundary was detected by image processing. Temperature history at the cell death boundary was retrieved and analyzed. With this system it is possible to recreate the temperature changes that result in a certain biological effect (such as cell death) during the process of simulated cryosurgery.     

Cryosurgery of the monkey (macaque) prostate. II. Apparent immunopathologic alterations following cryostimulation.

Previous investigation of the development of humoral immunologic responsiveness following cryostimulation of the monkey prostate up to 30 days postoperatively disclosed low to modest titres of antibodies to prostatic tissue antigens. In the present study, the possible occurrence and predominance of a cellular response and its ensuing immunopathologic effects on the prostate and other accessory sexual glands of these animals, not initially examined, together with further serologic evaluation and correlation of this cellular response with the presence of antiprostatic antibodies, has been made 41 to 90 days following freezing. A reduction in the size of the prostate observed following freezing was accompanied by what were suggestive of immunopathologic alterations. Alterations occurred principally in the caudal lobe, and were characterized by what appeared to be specific periacinar foci of lymphocytic infiltrates. These lymphocytes were observed to infiltrate onto the acinar epithelial cells with subsequent separation of epithelial cells from the basal lamina and epithelial cell destruction. Other observed alterations in the prostate consisting of stromal fibrosis, periodic presence of inflammatory cells, proliferation of regenerating glands, and squamous metaplasia were in consonance with previous histologic studies of the prostate following cryosurgery by others. Antiprostatic antibodies were present in only one of the seven animals evaluated at the time which these observations were made. The present preliminary observations provide evidence suggestive of the development of a specific cellular immunologic response following cryosurgery of the prostate. Fending confirmation of the study of a larger series of animals, these observations may be of potential significance in providing an explanation of reported cases of eradication of human prostatic carcinomas following cryotherapy.     

An in vivo study of antifreeze protein adjuvant cryosurgery

Cryosurgery employs freezing to destroy undesirable tissue. However, under certain thermal conditions, frozen tissues survive. The survival of frozen undesirable tissue may lead to complications, such as recurrence of cancer. In a study of nude mice with subcutaneous metastatic prostate tumors, we showed that the preoperative injection of a phosphate-buffered saline solution with 10 mg/ml antifreeze protein of type I into the tumor prior to freezing enhances destruction under thermal conditions which normally yield cell survival. This suggests that the adjunctive use of antifreeze proteins in cryosurgery may reduce the complications from undesirable tissues that survive freezing.     

Cryosurgery of normal and tumor tissue in the dorsal skin flap chamber: Part I--thermal response

Current research in cryosurgery is concerned with finding a thermal history that will definitively destroy tissue. In this study, we measured and predicted the thermal history obtained during freezing and thawing in a cryosurgical model. This thermal history was then compared to the injury observed in the tissue of the same cryosurgical model (reported in companion paper (Hoffmann and Bischof, 2001)). The dorsal skin flap chamber, implanted in the Copenhagen rat, was chosen as the cryosurgical model. Cryosurgery was performed in the chamber on either normal skin or tumor tissue propagatedfrom an AT-1 Dunning rat prostate tumor. The freezing was performed by placing a approximately 1 mm diameter liquid-nitrogen-cooled cryoprobe in the center of the chamber and activating it for approximately 1 minute, followed by a passive thaw. This created a 4.2 mm radius iceball. Thermocouples were placed in the tissue around the probe at three locations (r = 2, 3, and 3.8 mm from the center of the window) in order to monitor the thermal history produced in the tissue. The conduction error introduced by the presence of the thermocouples was investigated using an in vitro simulation of the in vivo case and found to be <10 degrees C for all cases. The corrected temperature measurements were used to investigate the validity of two models of freezing behavior within the iceball. The first model used to approximate the freezing and thawing behavior within the DSFC was a two-dimensional transient axisymmetric numerical solution using an enthalpy method and incorporating heating due to blood flow. The second model was a one-dimensional radial steady state analytical solution without blood flow. The models used constant thermal properties for the unfrozen region, and temperature-dependent thermal properties for the frozen region. The two-dimensional transient model presented here is one of the first attempts to model both the freezing and thawing of cryosurgery. The ability of the model to calculate freezing appeared to be superior to the ability to calculate thawing. After demonstrating that the two-dimensional model sufficiently captured the freezing and thawing parameters recorded by the thermocouples, it was used to estimate the thermal history throughout the iceball. This model was used as a basis to compare thermal history to injury assessment (reported in companion paper (Hoffmann and Bischof, 2001)).     

Real time ultrasonic monitoring of hepatic cryosurgery

Cryosurgery has a number of advantages that make it particularly appealing in the treatment of liver cancer. However, a major problem in the clinical application of hepatic cryosurgery is the lack of a precise means of monitoring the freezing process in situ. Preliminary investigations on simulated tissue have shown that standard ultrasonography is capable of accurately determining the amount of frozen material during a cryosurgical procedure. To extend these results to living tissue, cryosurgery was performed, in vivo, on the livers of four mongrel dogs. An ultrasound imaging device using a new intraoperative ultrasound transducer monitored the entire process in real time. The results indicate that the entire freezing and thawing cycle can be monitored easily using real time ultrasound. During freezing, the solidification interface can be seen to move through the tissue allowing clear imaging of the cryolesion. After complete thawing, the cryolesion became less echogenic than before freezing and was therefore distinguishable under ultrasound. Postsurgical pathologic examination showed excellent correlation between the lesion size and its ultrasonic image.     

Cryosurgery of the monkey (macaque) prostate: I. Humoral immunologic responsiveness following cryostimulation

The effect of in situ freezing of the monkey (macaque) prostate on the development of antibodies reactive with allogeneic and autologous extract preparations of the cranial and caudal lobe of prostatic tissue and their tissue specificity were evaluated by the method of tanned cell hemagglutination. A representative percentage of the animals receiving cryosurgery developed antibodies to prostatic tissue components; however the intensity of this response was considerably modest when contrasted to that obtained following similar treatment of the rabbit prostate (coagulating gland) and generally did not appear, as in the latter, to increase to any significant degree following multiple freezing. The possible relationship of this modest humoral response to the “cryosensitivity” of the target organ and of the animals evaluated in the present study, i.e., the concentration of glandular secretions (autoantigens), physiologic state (elaboration of androgen) and immunocompetence, are considered.     

An analytical study on the thermal effects of cryosurgery on selective cell destruction

The aim of cryosurgery is to kill cells within a closely defined region maintained at a predetermined low temperature. To effectively kill cells, it is important to be able to predict and control the cooling rate over some critical range of temperatures and freezing states in order to regulate the spatial extent of injury during any freeze-thaw protocol. The objective of manipulating the freezing parameters is to maximize the destruction of cancer cells within a defined spatial domain while minimizing cryoinjury to the surrounding healthy tissue. An analytical model has been developed to study the rate of cell destruction within a liver tumor undergoing a freeze-thaw cryosurgical process. Temperature transients in the tumor undergoing cryosurgery have been quantitatively investigated. The simulation is based on solving the transient bioheat equation using the finite volume scheme for a single or multiple-probe geometry. Simulated results show good agreement with experimental data obtained from in vivo clinical study. The calibrated model has been employed to study the effects of different freezing rates, freeze-thaw cycle(s), and multi-probe freezing on cell damage in a liver tumor. The effectiveness of each treatment protocol is estimated by generating the cell survival-volume signature and comparing the percentage of cell damaged within the ice-ball. Results from the model show that employing freeze-thaw cycles has the potential to enhance cell destruction within the cancerous tissue. Results from this study provide the basis for designing an optimized cryosurgical protocol which incorporates thermal effects and the extent of cell destruction within tumors.     

The process of freezing and the mechanism of damage during hepatic cryosurgery

Experiments were performed to correlate the structures of liver tissue frozen during cryosurgery, liver frozen at various constant cooling rates, and unfrozen, dried normal liver. The results show that during freezing of tissue ice forms and propagates along the vascular system, expanding during freezing at low cooling rates. This expansion occurs over most of the region frozen during cryosurgery and may be one of the mechanisms of damage to tissue during cryosurgery.     

Computerized planning of prostate cryosurgery using variable cryoprobe insertion depth

The current study presents a computerized planning scheme for prostate cryosurgery using a variable insertion depth strategy. This study is a part of an ongoing effort to develop computerized tools for cryosurgery. Based on typical clinical practices, previous automated planning schemes have required that all cryoprobes be aligned at a single insertion depth. The current study investigates the benefit of removing this constraint, in comparison with results based on uniform insertion depth planning as well as the so-called “pullback procedure”. Planning is based on the so-called “bubble-packing method”, and its quality is evaluated with bioheat transfer simulations. This study is based on five 3D prostate models, reconstructed from ultrasound imaging, and cryoprobe active length in the range of 15-35 mm. The variable insertion depth technique is found to consistently provide superior results when compared to the other placement methods. Furthermore, it is shown that both the optimal active length and the optimal number of cryoprobes vary among prostate models, based on the size and shape of the target region. Due to its low computational cost, the new scheme can be used to determine the optimal cryoprobe layout for a given prostate model in real time.     

Cryosurgery planning using bubble packing in 3D

As part of an ongoing project to develop automated tools for cryosurgery planning, the current study focuses on the development of a 3D bubble packing method. A proof-of-concept for the new method is demonstrated on five prostate models, reconstructed from ultrasound images. The new method is a modification of an established method in 2D. Ellipsoidal bubbles are packed in the volume of the prostate in the current study; such bubbles can be viewed as a first-order approximation of a frozen region around a single cryoprobe. When all cryoprobes are inserted to the same depth, optimum planning was found to occur at about 60% of the length of the prostate (measured from its apex), which leads to cooling of approximately 75% of the prostate volume below a specific temperature threshold of - 22 degrees C. Bubble packing has the potential to dramatically reduce the run time for automated planning.     

Chemo-Cryo Combination Therapy: An Adjunctive Model for the Treatment of Prostate Cancer

Despite continuing research and the development of alternate therapeutic options, prostate cancer remains problematic. Chemotherapy has played a minor role as a treatment option due to its lack of efficacy. Whereas cryotherapy has received renewed attention as a treatment modality, it too fails to offer an absolute curative option. Previously, we reported on the utilization of a therapeutic model, which, in combination, increases cell death in a canine renal cell model. Based upon that study, we investigated a combination therapy model as an alternative for the treatment modality for prostate cancer. We hypothesized that the combination of chemotherapy and cryosurgery would result in enhanced cell death, thereby presenting a more effective treatment of prostate cancer. A human prostate cancer cell (PC-3) model was exposed to 5-fluorouracil (5-FU) for 2 and 4 days (prefreeze), freezing (-5 to -100 degrees C), or a combination of the two treatments, and each was assessed for effectiveness over a 2-week posttreatment period. Additionally, investigation into the mechanisms of cell death initiated by the respective therapies was performed through DNA cleavage analysis. For chemotherapy, cultures exposed to 5-FU (2-4 days) yielded a 15-25% loss in cell survival. For cryotherapy, cultures exposed to a temperature window of -5 to -20 degrees C yielded an initial 5-70% loss of viability but cells propagated over time. Cultures exposed to temperatures of -25 to -80 degrees C yielded a 90-99% (+/-4.5%) initial loss in viability with repopulation observed by 12 days postthaw. Cells frozen to -100 degrees C yielded 100% (+/-0.3%) loss of viability and exhibited no signs of propagation. For chemo-cryo therapy, combination treatment at milder temperatures (-5 to -25 degrees C) resulted in an enhanced loss of cell viability compared to that for either treatment alone. Combination treatment at lower temperatures (-40 to -80 degrees C) resulted in a complete loss of cell viability. DNA fragmentation analysis at 48 h posttreatment revealed that dead (detached) cells treated with 5-FU died primarily through apoptosis, whereas dead cells from freezing (-15 degrees C) alone died primarily through freeze-rupture and necrosis. Detached cell analysis from combination treatment at -15 degrees C revealed the presence of apoptotic, necrotic, and freeze-rupture cell death. Scanning electron micrographs of cells exposed to freezing contributing to cell death. These data demonstrate that the combination of 5-FU at sublethal doses and freezing temperatures improves human prostate cancer cell death efficacy. Further, we suggest that chemo-cryo therapy offers a potential alternative treatment for the control and eradication of prostate cancer.     

Development and estimation of a novel cryoprobe utilizing the Peltier effect for precise and safe cryosurgery

We have developed a novel cryoprobe for skin cryosurgery utilizing the Peltier effect. The four most important parameters for necrotizing tissue efficiently are the cooling rate, end temperature, hold time and thawing rate. In cryosurgery for small skin diseases such as flecks or early carcinoma, it is also important to control the thickness of the frozen region precisely to prevent necrotizing healthy tissue. To satisfy these exacting conditions, we have developed a novel cryoprobe to which a Peltier module was attached. The cryoprobe makes it possible to control heat transfer to skin surface precisely using a proportional-integral-derivative (PID) controller, and because it uses the Peltier effect, the cryoprobe does not need to move during the operation. We also developed a numerical simulation method that allows us to predict the frozen region and the temperature profile during cryosurgery.We tested the performance of our Peltier cryoprobe by cooling agar, and the results show that the cryoprobe has sufficient cooling performance for cryosurgery, because it can apply a cooling rate of more than 250 °C/min until the temperature reaches −40 °C. We also used a numerical simulation to reconstruct the supercooling phenomenon and examine the immediate progress of the frozen region with ice nucleation. The calculated frozen region was compared with the experimentally measured frozen region observed by an interferometer, and the calculation results showed good agreement. The results of numerical simulation confirmed that the frozen region could be predicted accurately with a margin of error as small as 150 μm during use of the cryoprobe in cryosurgery. The numerical simulation also showed that the cryoprobe can control freezing to a depth as shallow as 300 μm.     

Minimally Invasive Cryosurgery-Technological Advances

The technological advances which have caused renewed interest in cryosurgery are the development of intraoperative ultrasound to monitor the therapeutic process and the development of new cryosurgical equipment designed to use supercooled liquid nitrogen. The thin, highly efficient probes, available in several sizes, can be placed in diseased sites via endoscopy or percutaneously in minimally invasive procedures. The manner of use is to place the probe in the desired location in the diseased tissue with ultrasound guidance. If required by the size or location of the tumor, as many as five probes can be inserted and cooled to −195°C simultaneously. The process of freezing is monitored by ultrasound which displays a hypoechoic (dark) image when the tissue if frozen. Rapid freezing, slow thawing, and repetition of the freeze/thaw cycle are standard features of technique. Clinical applications which have become common in the past 4 years include the treatment of prostatic cancer and liver tumors. The cases selected for cryosurgery are generally those for which no conventional treatment is possible. However, especially in prostatic cancer, the operative morbidity is so low and the results of therapy are sufficiently good in the short term to merit consideration of use in earlier stages of the disease. Diverse tumors in other sites, such as the brain, bronchus, bone, pancreas, kidney, and uterus, have also been treated in small numbers by cryosurgery. Judging from this experience, further expansion in the use of cryosurgical techniques seems certain.     

Pre-treatment inflammation induced by TNF-alpha augments cryosurgical injury on human prostate cancer

Vascular injury is a major mechanism of cryosurgical destruction. The extent of vascular injury may be affected by the addition of molecular adjuvants. This study, in addition to determining the injury mechanism in the LNCaP Pro 5 human prostate cancer subline grown in a nude mouse, examined the effect of cytokine TNF-alpha on cryosurgery of an in vivo microvascular preparation (Dorsal Skin Flap Chamber). A comparison of injury data to a thermal model indicated that the minimum temperature after moderate cooling, thawing, and hold time required for causing necrosis was 3.5+/-6.9 degrees C in TNF-alpha-treated LNCaP Pro 5 tumor tissue (n=4) and -9.8+/-5.8 degrees C in TNF-alpha-treated normal skin of the nude mouse (n=4). Compared to tissues without TNF-alpha treatment, where the minimum temperature required for causing necrosis was -16.5+/-4.3 degrees C in LNCaP Pro 5 tumor tissue (n=8) and -24.4+/-7.0 degrees C in normal skin of the nude mouse (n=9), the results indicate the local use of TNF-alpha can dramatically increase the threshold temperature of cryo-destruction by more than 10 degrees C (p <0.01). These findings were consistent with the hypothesis that vascular-mediated injury is responsible for defining the edge of the cryolesion in microvascular-perfused tissue, and therefore pre-induced inflammation can augment cryoinjury. The local use of TNF-alpha to pre-inflame prostate cancer promises to increase both the ability of freezing to destroy cancer as well as improve the ability of ultrasound or other iceball-monitoring techniques to predict the outcome of the treatment.